, separated
by a colon. The author field is constructed as follows. If there is
only one author, the first four letters of his or her last name are
used to form the field (but only one letter each from prefixes, e.g.
van de Geign becomes vdge). If there are two authors the first two
letters in their last names are used. If there are three authors the
first two letters of the first are used with one letter from each of
the second and third. If their are four, one letter from each is used.
Warning: there may be a few exceptions to these conventions.
NAMES
Names appear in the order in which they appear in the reference, and entries
are alphabetized by the first name to appear. To keep BibTeX from
becoming confused, only initials of given names are used.
Between some entries you will find clusters of two letters--e.g. -ac- -ad-.
These can be used to position yourself within the reference base.
KEYWORDS
Each entry has a keyword field, labeled kwds. The program bibsrch (see below)
will search the file for matches in a user-specified
combination of conjunctions, disjunctions, and negations. The user
can also specify the author. The program getkey dumps the keywords
on the standard output. To get an alphabetized list of all key words
from the file ref.bib try
getkey ref | sort -uf > keywords
The choice of key words is a highly personal matter. I have used a number
of abbreviations to keep the kwds field to a manageable size. Here they are.
approximate methods (appr)
augmented system (augms)
backward perturbation (pert),
banded least squares (band),
blas (blas),
block angular system (basys),
block methods (block),
Chebyshev approximation (cheb),
Cholesky (chol),
condition (cond),
conjugate gradients (cg),
constrained least squares (constr),
control theory (contr),
covariance matrix (covar),
CS decomposition (csd),
downdating (downd),
eigenvalue problem (eigv)
equilibration (scale),
error estimate (err),
fast Fourier transform (fft),
fill-in (fill),
generalized eigenvalue problems (geig),
generalized inverse (ginv),
generalized linear model (glsq),
generalized QR decomposition (gqrd),
geodesy (geod),
geometric elements, fitting (geom),
generalized singular value decomposition (gsvd),
Givens rotation (rot),
graph theory (graph),
Gram-Schmidt (grsch),
history of least squares (hist),
Householder (house),
hyperbolic rotation (hyp),
ill-posed (illp),
interior point methods (intpoint),
interval analysis (err),
iterative method (iter),
iterative refinement (ir),
Kronecker product (kron),
Lanczos (lanczos),
linear algebra general (la),
LU decomposition (lud),
matrix approximation (max),
nested dissection (nestdis),
nonlinear least squares (nlsq),
normal equations (ne),
numerical linear algebra (nla)
optimization (opt),
ordering for sparsity (perm),
orthogonalization (orth),
orthogonal regression (orthreg),
precision (err),
preconditioning (precond),
pseudo-inverse (ginv),
parallel computation (prll),
perturbation theory (pert),
polynomial approximation (poly),
projection (orth),
QR decomposition (qrd),
quadratic programming (quadpr),
random matrix (rand),
rank degenerate problems (rank),
rank revealing QR factorization (rrqrd),
recursive least squares (rls),
regularization (regul),
regression (regr),
robust estimation (rob),
scaling (scale),
signal processing (sigp),
singular value decomposition (svd),
software (soft),
sparse (sparse),
spline approximation (spline),
statistics (stat),
survey paper/book (survey),
systolic (syst),
test matrix (test),
Toeplitz (toep),
total least squares (tls),
underdetermined systems (uds),
updating, downdating (upd, downd),
Vandermonde systems (vand),
variable projection (varpro),
vector processing (prll),
weighted least squares (wlsq)"
The program getkey also prints out these correspondences in the
appropriate places. (They are actually key words in the last article
of the base; take a look.)
DISCLAIMERS
Do not use the references in a paper, unless you have checked them out
for yourself. Naturally, I am interested in hearing about any errors
you may find. This reference base downdated regularly, and items can
disappear. For example, I will generally remove techreports as I find them
published in journals. If you use this base in a \bibliograpy command,
save your bbl files!
BIBSRCH
The programs bibsrch and getkey, written by G.W. Stewart, may be generated from
the file bibsearch.tar, available by anonymous ftp at
thales.cs.umd.edu
in the directory
pub/references.
Simply place bibsearch.tar in the directory where you want the directory
containing the programs. Then
tar xf bibsearch.tar
cd bibsearch
more README
and you will be told what to do next.
@article{abde:71,
author = "N. N. Abdelmalek",
year = "1971",
title = "Roundoff Error Analysis for {Gram-Schmidt} Method and
Solution of Linear Least Squares Problems",
journal = "BIT",
volume = "11",
pages = "345--368",
kwds = "err,grsch,qrd"
}
@article{adco:1878,
author = "R. J. Adcock",
year = "1878",
title = "A Problem in Least Squares",
journal = "The Analyst",
volume = "5",
pages = "53--54",
kwds = "regr,stat,tls"
}
@book{ahhu:83,
author = "A. V. Aho and J. E. Hopcroft and J. D. Ullman",
year = "1983",
title = "Data Structures and Algorithms",
publisher = "Addison-Wesley",
address = "Reading, MA",
kwds = ""
}
@article{aike:34,
author = "A. C. Aiken",
year = "1934",
title = "On Least Squares and Linear Combinations of Observations",
journal = "Proceedings of the Royal Society of Edinburgh, Sec. A",
volume = "55",
pages = "42--47",
kwds = "regr,stat"
}
@article{ajje:84,
author = "M. A. Ajiz and A. Jennings",
year = "1984",
title = "A Robust Incomplete {Choleski}-Conjugate Gradient Algorithm",
journal = "Internat. J. Numer. Methods. Engrg.",
volume = "20",
pages = "949--966",
kwds = "cg, precond"
}
al-
@article{alfl:85,
author = "M. Al-Baali and R. Fletcher",
year = "1985",
title = "Variational Methods for Non-linear Least Squares",
journal = "J. Oper. Res. Soc.",
volume = "36",
pages = "405--421",
kwds = "nlsq"
}
@article{alfl:86,
author = "M. Al-Baali and R. Fletcher",
year = "1986",
title = "An Efficient Line Search for Nonlinear Least-squares",
journal = "J. Optim. Theory Appl.",
volume = "48",
pages = "359--377",
kwds = "nlsq"
}
@phdthesis{alba:84,
author = "M. Al-Baali",
year = "1984",
title = "Methods for Nonlinear Least Squares",
school = "Department of Mathematical Sciences, University of Dundee",
address = "Scotland",
type = "{Ph. D.} thesis",
kwds = "nlsq"
}
al- an-
@article{alpp:88,
author = "S. T. Alexander and C.-T. Pan and R. J. Plemmons",
year = "1988",
title = "Analysis of a Recursive Least Squares Hyperbolic
Rotation Algorithm for Signal Processing",
journal = "Linear Algebra Appl.",
volume = "98",
pages = "3-40",
kwds = "downd, hyp, sigp, rls"
}
@article{alva:90,
author = "F. L. Alvarado",
year = "1990",
title = "Manipulating and Visualization of Sparse Matrices",
journal = "ORSA J. Comput.",
volume = "2",
pages = "186--207",
kwds = "sparse, soft"
}
@phdthesis{ames:91,
author = "P. R. Amestoy",
year = "1991",
title = "Factorization of Large Sparse Matrices Based on a
Multifrontal Approach in a Multiprocessor Environment",
school = "CERFACS",
address = " Toulouse, France",
type = "{Ph. D.} thesis",
number = "TH/PA/91/2",
kwds = "sparse, prll, thesis"
}
@article{amdu:89,
author = "P. R. Amestoy and I. S. Duff",
year = "1989",
title = "Vectorization of a Multiprocessor Multifrontal Code",
journal = "Internat. J. Supercomp. Appl.",
volume = "3",
pages = "41--59",
kwds = "sparse, prll"
}
@article{amdu:93,
author = "P. R. Amestoy and I. S. Duff",
year = "1993",
title = "Memory Allocation Issues in Sparse Multiprocessor
Multifrontal Methods",
journal = "Internat. J. Supercomput. Appl.",
volume = "7",
pages = "64--82",
kwds = "sparse, prll"
}
@article{anpa:94,
author = "A. A. Anda and H. Park",
year = "1994",
title = "Fast Plane Rotations with Dynamic Scaling",
journal = " SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "162--174",
kwds = "rot"
}
@article{anpa:96,
author = "A. A. Anda and H. Park",
year = "1996",
title = "Self-Scaling Fast Rotations for Stiff Least Squares Problems",
journal = "Linear Algebra Appl.",
volume = "234",
pages = "137--162",
kwds = "rot, qrd,wlsq,constr"
}
@book{anbb:95,
editor = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and
J. Dongarra and J. {Du Croz} and A. Greenbaum and
S. Hammarling and A. McKenney and S. Ostrouchov and
D. Sorensen ",
year = "1995",
title = "{LAPACK} Users' Guide. Second Edition",
publisher = "SIAM",
address = "Philadelphia",
kwds = "prll,soft"
}
@book{anbb:99,
editor = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and
J. Dongarra and J. {Du Croz} and A. Greenbaum and
S. Hammarling and A. McKenney and
D. Sorensen",
year = "1999",
title = "{LAPACK} Users' Guide. Third Edition",
publisher = "SIAM",
address = "Philadelphia",
note={www.netlib.org/lapack/lug/lapack\_lug.html},
kwds = "prll,soft"
}
@techreport{anbd:91,
author = "E. Anderssen and Z. Bai and J. Dongarra",
title = "Generalized {QR} Factorization and its Applications",
institution = "Computer Science Department",
year = "1991",
type = "{Tech. Report}",
number = "CS-91-131",
address = "University of Tennessee, Knoxville, TN",
kwds = "iter"
}
@article{anka:75,
author = "N. Anderson and I. Karasalo",
year = "1975",
title = "On Computing Bounds for the Least Singular Value of a Triangular
Matrix",
journal = "BIT",
volume = "15",
pages = "1--4",
kwds = "err, rank, svd"
}
@techreport{ango:72,
author = "R. S. Anderssen and G. Golub",
title = "Richardson's Non-Stationary Matrix Iterative Procedure",
institution = "Computer Science Department",
year = "1972",
type = "{Tech. Report}",
number = "STAN-CS-72-304",
address = "Stanford University, CA",
kwds = "iter"
}
ar- as-
@article{ardd:89,
author = "M. Arioli and J. Demmel and I. S. Duff",
year = "1989",
title = "Solving Sparse Linear Systems with Sparse Backward Error",
journal = " SIAM J. Matrix Anal. Appl.",
volume = "10",
pages = "165--190",
kwds = "sparse, pert"
}
@article{ardr:89,
author = "M. Arioli and I. S. Duff and P. P. M. de Rijk",
year = "1989",
title = "On the augmented system approach to sparse least-squares problems",
journal = "Numer. Math.",
volume = "55",
pages = "667--684",
kwds = "sparse, augms"
}
@article{ardr:92,
author = "M. Arioli and I. S. Duff and D. Ruiz",
year = "1992",
title = "Stopping Criteria for Iterative Solvers",
journal = " SIAM J. Matrix Anal. Appl.",
volume = "13",
pages = "138--144",
kwds = "iter, pert"
}
@article{adrs:95,
author = "M. Arioli and I. S. Duff and D. Ruiz and M. Sadkane",
year = "1995",
title = "Block {Lanczos} Techniques for Accelerating the Block
{Cimmino} Method",
journal = " SIAM J. Sci. Comput.",
volume = "16",
pages = "1478--1511",
kwds = "iter, sparse, prll"
}
@article{ardn:92,
author = "M. Arioli and I. S. Duff and J. Noailles and D. Ruiz",
year = "1990",
title = "A Block Projection Method for Sparse Matrices",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "13",
pages = "47--70",
kwds = "sparse, iter"
}
@article{arla:86,
author = "M. Arioli and A. Laratta",
year = "1986",
title = "Error analysis of an algorithm for solving an underdetermined
linear system",
journal = "Numer. Math.",
volume = 46,
pages = "255--268",
kwds = "err, uds"
}
@article{arla:86a,
author = "M. Arioli and A. Laratta",
year = "1986",
title = "Error analysis of algorithms for computing the projection of a
Point onto a linear manifold",
journal = "Linear Algebra Appl.",
volume = 82,
pages = "1--26",
kwds = "uds, orth"
}
@article{asgr:89,
author = "C. Ashcraft and R. G. Grimes",
year = "1989",
title = "The Influence of Relaxed Supernode Partitions on the
Multifrontal Method",
journal = "ACM Trans. Math. Software",
volume = "15",
pages = "291--309",
kwds = "sparse, prll"
}
@techreport{ashc:87,
author = "C. Ashcraft",
year = "1987",
title = "A Vector Implementation of the Multifrontal
Method for Large Sparse Positive definite Systems",
institution = "Engineering Technology Division,
Boeing Computer Services",
address= "Seattle, WA",
type = "{Tech. Report}",
number = "ETA-TR-51",
kwds = "sparse, prll"
}
@incollection{ashk:71,
author = "V. Ashkenazi",
year = "1971",
title = " Geodetic Normal Equations",
booktitle = "Large Sets of Linear Equations",
editor = "J. K. Reid",
pages = "57--74",
publisher = "Academic Press, New York",
kwds = "geod, ne"
}
av-
@inproceedings{avto:79,
author = "J. K. Avila and J. A. Tomlin",
year = "1979",
title = "Solution of Very Large Least Squares Problems by Nested Dissection
on a Parallel Processor",
booktitle = "Proceedings of the Computer Science and Statistics
12th Annual Symposium on the Interface",
editor = "J. F. Gentleman",
publisher = "University of Waterloo, Canada",
kwds = "sparse, perm"
}
ba-
@techreport{bai:92,
author = "Z. Bai",
year = "1992",
title = "The {CSD}, {GSVD}, Their Applications and Computations",
institution = "Institute for Mathematics and Its Applications,
University of Minnesota",
address = "Minneapolis, MN",
type = "{Tech. Report}",
number = "IMA Preprint Series 958",
kwds = "csd, gsvd"
}
@article{bade:93,
author = "Z. Bai and J. W. Demmel",
year = "1993",
title = "Computing the Generalized Singular Value Decomposition",
journal = "SIAM J. Sci. Comput.",
volume = "14",
pages = "1464--1486",
kwds = "gsvd"
}
@article{bazh:93,
author = "Z. Bai and H. Zha",
year = "1993",
title = "A New Preprocessing Algorithm for the Computation of the
Generalized Singular Value Decomposition",
journal = "SIAM J. Sci. Comput.",
volume = "14",
pages = "1007--1012",
kwds = "gqrd, gsvd"
}
@article{bana:38,
author = "T. Banachiewicz",
year = "1938",
title = "Principes d'une nouvelle technique de la m\'ethode des
moindres carr\'es",
journal = "Bull. Internat. Acad. Polon. Sci. A",
pages = "134--135",
kwds = "chol"
}
@book{bard:74,
author = "Y. Bard",
year = "1974",
title = "Nonlinear Parameter Estimation",
publisher = "Academic Press",
address = "New York",
kwds = "stat, nlsq"
}
@techreport{bare:82,
author = "E. H. Bareiss",
year = "1982",
title = "Numerical Solution of the Weighted Linear Least Squares Problems
by {G}-transformations",
institution = "Department of Electrical Engineering and Computer Science",
address = "Northwestern University, Evanston, IL",
type = "{Tech. Report}",
number = "82-03-NAM-03",
kwds = "wlsq"
}
@article{barl:85,
author = "J. L. Barlow",
year = "1985",
title = "Stability Analysis of the {G}-algorithm and a Note on its Application
to Sparse Least Squares Problems",
journal = "BIT",
volume = "25",
pages = "507--520",
kwds = "wlsq"
}
@article{barl:88,
author = "J. L. Barlow",
year = "1988",
title = "Error Analysis and Implementation Aspects of Deferred Correction
for Equality Constrained Least Squares Problems",
journal = "SIAM J. Numer. Anal.",
volume = "25",
pages = "1340--1358",
kwds = "constr, err"
}
@techreport{barl:89,
author = "J. L. Barlow",
year = "1989",
title = "The Accurate Solution of Sparse Weighted and Equality
Constrained Least Squares Problems Using a Static Data Structure",
institution = "Dept. of Computer Science, The Pennsylvania State University",
address = "State College, PA",
type = "{Tech. Report}",
number = "CS-89-03",
kwds = "wlsq, constr,sparse"
}
@article{barl:90,
author = "J. L. Barlow",
year = "1990",
title = "On the Use of Structural Zeros in Orthogonal Factorization",
journal = "SIAM J. Sci. Stat. Comput.",
volume = "11",
pages = "600--601",
kwds = "constr, err"
}
@article{baha:88,
author = "J. L. Barlow and S. L. Handy",
year = "1988",
title = "The Direct Solution of Weighted and Equality Constrained
Least Squares Problems",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "9",
pages = "704--716",
kwds = "wlsq, constr"
}
@article{baip:87,
author = "J. L. Barlow and I. C. F. Ipsen",
year = "1987",
title = "Scaled {Givens} Rotations for the Solution of Linear
Least Squares Problems on Systolic Arrays",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "8",
pages = "716-734",
kwds = "prll, rot"
}
@article{banp:88,
author = "J. L. Barlow and N. K. Nichols and R. J. Plemmons",
year = "1988",
title = " Iterative Methods for Equality-constrained Least Squares
Problems.",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "9",
pages = "892--906",
kwds = "iter, constr"
}
@article{bave:92,
author = "J. L. Barlow and U. B. Vemulapati",
year = "1992",
title = "Rank Detection Methods for Sparse Matrices",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "13",
pages = "1279--1297",
kwds = "rank, rrqrd, sparse"
}
@article{bayz:96,
author = "J. L. Barlow and P. A. Yoon and H. Zha",
year = "1996",
title = "An Algorithm and a Stability Theory for Downdating the {ULV} Decomposition",
journal = "BIT",
volume = "36",
pages = "14--40",
kwds = "upd, rrqrd, svd"
}
@techreport{bazy:93,
author = "J. L. Barlow and H. Zha and P. A. Yoon",
year = "1993",
title = "Stable Chasing Algorithms for Modifying Complete and
Partial Singular Value Decompositions",
institution = "Department of Computer Science",
address = "The Pennsylvania State University, State College, PA",
type = "{Tech. Report}",
number = "CSE-93-19",
kwds = "upd, svd"
}
@book{babc:93,
editor = "R. Barret and M. W. Berry and T. Chan and J. Demmel and J.
Donato and J. Dongarra and V. Eijkhout and R. Pozo
and C. Romine and H. van der Vorst",
year = "1993",
title = "Templates for the Solution of Linear Systems: Building
Blocks for Iterative Methods ",
publisher = "SIAM",
address = "Philadelphia",
kwds = "iter, survey"
}
@article{barr:94,
author = "A. Barrlund",
year = "1994",
title = "Perturbation Bounds for the Generalized {QR} Factorization",
journal = "Linear Algebra Appl.",
volume = "207",
pages = "251--272",
kwds = "pert, qrd"
}
@article{baro:73,
author = "I. Barrodale and F. D. K. Roberts",
year = "1973",
title = "An Improved Algorithm for Discrete $\ell_1$ Linear Approximation",
journal = "SIAM J. Numer. Anal.",
volume = "10",
pages = "839--848",
kwds = "rob"
}
@article{baph:75,
author = "I. Barrodale and C. Phillips",
year = "1975",
title = "Algorithm {\rm 495}: Solution of an Overdetermined System of
Linear Equations in the {Chebyshev} Norm ",
journal = "ACM Trans. Math. Software",
volume = "1",
pages = "264--270",
kwds = "cheb"
}
@article{baro:78,
author = "I. Barrodale and F. D. K. Roberts",
year = "1978",
title = "An Efficient Algorithm for Discrete $\ell_1$ Linear Approximation
with Linear Constraints",
journal = "SIAM J. Numer. Anal.",
volume = "15",
pages = "603--611",
kwds = "rob"
}
@incollection{bags:70,
author = "R. H. Bartels and G. H. Golub and M. A. Saunders",
year = "1970",
title = "Numerical Techniques in Mathematical Programming",
pages = "123--176",
booktitle = "Nonlinear Programming",
editor = "J. B. Rosen and O. L. Mangasarian and K. Ritter",
publisher = "Academic Press, New York",
kwds = "qrd, rank"
}
@article{baco:80,
author = "R. H. Bartels and A. R. Conn",
year = "1980",
title = "Linearly Constrained Discrete $\ell_1$ Problems",
journal = "ACM Trans. Math. Software",
volume = "6",
pages = "594--608",
kwds = "rob, constr"
}
@article{bacc:80,
author = "R. H. Bartels and A. R. Conn and C. Charalambous",
year = "1980",
title = "On {Cline's} Direct Method for Solving Overdetermined Linear Systems
in the {$\ell_\infty$} Sense",
journal = " SIAM J. Numer. Anal.",
volume = "15",
pages = "255--270",
kwds = "cheb"
}
@article{bacs:78,
author = "R. H. Bartels and A. R. Conn and J. W. Sinclair",
year = "1978",
title = "Minimization Techniques for Piecewise Differentiable Functions:
The $\ell_1$ Solution to an Overdetermined Linear System",
journal = "SIAM J. Numer. Anal.",
volume = "15",
pages = "224--241",
kwds = "rob"
}
@article{bamw:67,
author = "W. Barth and R. S. Martin and J. H. Wilkinson",
year = "1967",
title = "Calculation of the Eigenvalues of a Symmetric Tridiagonal
Matrix by the Method of Bisection",
journal = "Numer. Math.",
volume = "9",
pages = "386--393",
kwds = "svd"
}
@article{baue:65,
author = "F. L. Bauer",
year = "1965",
title = "Elimination with Weighted Row Combinations for Solving Linear
Equations and Least Squares Problems",
journal = "Numer. Math.",
volume = "7",
pages = "338--352",
kwds = "grsch, qrd"
}
@article{baue:66,
author = "F. L. Bauer",
year = "1966",
title = " {Genauigkeitsfragen bei der L{\"o}sung linear
Gleich\-ungs\-systeme}",
journal = "{Z. Angew. Math. Mech.}",
volume = "46",
pages = "409--421",
kwds = "pert, cond, scale"
}
be-
@article{biwe:63,
author = "A. Ben-Israel and S. J. Wersan",
year = "1963",
title = "An Elimination Method for Computing the generalized
Inverse of an Arbitrary Matrix",
journal = "J. ACM",
volume = "10",
pages = "532--537",
kwds = "ginv"
}
@article{beno:24,
author = "Benoit, Commendant",
year = "1924",
title = "Sur la m\'ethode de r\'esolution des \'equationes normales, etc.
(Proc\'ed\'es du commandant {Cholesky})",
journal = "Bull. G\'eod\'esique",
volume = "2",
pages = "67--77",
kwds = "chol, ne"
}
@article{tate:90,
author = "A. Ben-Tal and M. Teboulle",
year = "1990",
title = "A Geometric Property of the Least Squares Solution of
Linear Equations",
journal = "Linear Algebra Appl.",
volume = "139",
pages = "165--170",
kwds = "wlsq"
}
@phdthesis{benz:93,
author = "M. Benzi",
year = "1993",
title = "A Direct Row-Projection Method for Sparse Linear Systems",
school = "North Carolina State University",
address = "Raleigh, NC",
type = "{Ph. D.} thesis",
kwds = "iter"
}
@inproceedings{beme:94,
author = "M. Benzi and C. D. Meyer",
year = "1994",
title = "An Explicit Preconditioner for the Conjugate Gradient Method",
booktitle = "Proceedings of the {Cornelius} Lanczos International
Centenary Conference, Raleigh, NC, Dec. 1993",
editor = "J. D. Brown and M. T. Chu and D. C. Ellison and R. J. Plemmons",
publisher = "SIAM, Philadelphia",
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kwds = "iter, precond"
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AUTHOR = {Bj{\"o}rck, {\AA}ke},
TITLE = {Numerical methods for least squares problems},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1996},
PAGES = {xviii+408},
ISBN = {0-89871-360-9},
MRCLASS = {65-02 (65Fxx 65H99)},
MRNUMBER = {97g:65004},
MRREVIEWER = {Hongyuan Zha},
}
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pages = "205--224",
kwds = "svd, lanczos"
}
@techreport{goks:76,
author = "G. H. Golub and V. Klema and G. W. Stewart",
year = "1976",
title = "Rank Degeneracy and Least Squares Problems",
institution = "Computer Science Department, Stanford University",
address = "CA",
type = " {Tech. Report}",
number = "STAN-CS-76-559, August 1976",
kwds = "rank, rrqrd"
}
@inproceedings{golv:79,
author = "G. H. Golub and R. J. LeVeque",
year = "1979",
title = "Extensions and Uses of the Variable Projection Algorithm for
Solving Nonlinear Least Squares Problems",
pages = "1--12",
booktitle = "Proceedings of the 1979 Army Numerical Analysis and
Computers Conf. ",
publisher = "White Sands Missile Range, White Sands, NM, ARO Report 79-3",
kwds = "nlsq, varpro"
}
@inproceedings{golu:77,
author = "G. H. Golub and F. T. Luk",
year = "1977",
title = "Singular Value Decomposition: Applications and Computations",
booktitle = "Trans. 22nd Conference of Army Mathematicians, ARO Report 77-1",
pages = "577--605",
kwds = "svd"
}
@article{golo:81,
author = "G. H. Golub and F. T. Luk and M. L. Overton",
year = "1981",
title = "A Block {Lanczos} Method for Computing the Singular Values and
Corresponding Singular Vectors of a Matrix",
journal = "ACM Trans. Math. Software",
volume = "7",
pages = "149--169",
kwds = "svd, lanczos"
}
@inproceedings{golp:79,
author = "G. H. Golub and F. T. Luk and M. Pagano",
year = "1979",
title = "A Sparse Least Squares Problem in Photogrammetry",
booktitle = "Proceedings of the Computer Science and Statistics
12th Annual Symposium on the Interface",
editor = "J. F. Gentleman",
publisher = "University of Waterloo, Canada",
pages = "26--30",
kwds = "sparse, nestdis"
}
@article{gomt:86,
author = "G. H. Golub and P. Manneback and P. Toint",
year = "1986",
title = "A Comparison Between some Direct and Iterative Methods for
Large Scale Geodetic Least Squares Problems",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "7",
pages = "799--816",
kwds = "sparse, nestdis, iter, cg, precond"
}
@inproceedings{gosv:95,
author = "G. H. Golub and K. Solna and P. {Van Dooren}",
year = "1995",
title = "A {QR}-Like {SVD} Algorithm for a Product/Quotient of
Several Matrices",
booktitle = "{SVD} and Signal Processing, III: Algorithms,
Architectures and Applications",
editor = "M. Moonen and B. {De Moor}",
pages = "139--147",
publisher = "Elsevier Science B.V., Amsterdam",
kwds = "gqrd, gsvd"
}
@article{goma:91,
author = "G. H. Golub and U. von Matt",
year = "1991",
title = "Quadratically Constrained Least Squares and Quadratic Problems",
journal = "Numer. Math.",
volume = "59",
pages = "561--580",
kwds = "regul, constr",
}
@article{gona:82,
author = "G. H. Golub and S. G. Nash",
year = "1982",
title = " Nonorthogonal Analysis of Variance using a Generalized
Conjugate-Gradient Algorithm",
journal = "J. Amer. Statist. Assoc.",
volume = "77",
pages = "109--116",
kwds = "cg, stat",
}
@article{gopedupl:73,
author = "G. H. GOLUB and V. PEREYRA",
year = "1973",
title = "The Differentiation of Pseudoinverses and Nonlinear
Least Squares Problems Whose Variables Separate",
journal = "SIAM J. Numer. Anal.",
volume = "10",
pages = "413--432",
kwds = "pert, ginv, varpro,"
}
@inproceedings{gope:76,
author = "G. H. Golub and V. Pereyra",
year = "1976",
title = "Differentiation of Pseudoinverses, Separable
Nonlinear Least Squares Problems and Other Tales",
booktitle = "Generalized Inverses and Applications",
editor = "M. Z. Nashed",
pages = "303--324",
publisher = "Academic Press, New York",
kwds = "pert, ginv, varpro,"
}
@article{gopl:80,
author = "G. H. Golub and R. J. Plemmons",
year = "1980",
title = "Large-Scale Geodetic Least-Squares Adjustment by Dissection
and Orthogonal Decomposition",
journal = "Linear Algebra Appl.",
volume = "34",
pages = "3--28",
kwds = "sparse, qrd, geod, nestdis"
}
@inproceedings{gops:88,
author = "G. H. Golub and R. J. Plemmons and A. Sameh",
year = "1988",
title = "Parallel Block Schemes for Large-Scale Least-Squares Computations",
pages = "171-179",
booktitle = "High-Speed Computing, Scientific Applications and Algorithm
Design",
publisher = "University of Illinois Press",
address = "",
kwds = "iter, prll"
}
@article{gore:70,
author = "G. H. Golub and C. Reinsch",
year = "1970",
title = "Singular Value Decomposition and Least Squares Solution",
journal = "Numer. Math.",
volume = "14",
pages = "403--420",
kwds = "svd, rank, reg"
}
@inproceedings{gosa:70,
author = "G. H. Golub and M. A. Saunders",
year = "1970",
title = "Linear Least Squares and Quadratic Programming",
pages = "229--256",
booktitle = "Integer and Nonlinear Programming",
editor = "J. Abadie",
publisher = "North-Holland, Amsterdam",
kwds = "qrd, opt, quadpr"
}
@article{gost:73,
author = "G. H. Golub and G. P. Styan",
year = "1973",
title = "Numerical Computations for Univariate Linear Models",
journal = "J. Statist. Comput. Simul.",
volume = "2",
pages = "253-274",
kwds = "stat, regr, qrd"
}
@techreport{goun:69,
author = "G. H. Golub and R. Underwood",
year = "1969",
title = "Stationary Values of the Ratio of Quadratic Forms Subject to
Linear Constraints",
institution = "Computer Science Department, Stanford University, CA",
type = "{Tech. Report}",
number = "CS-142",
note = "",
kwds = "geig, regul"
}
@inproceedings{govl:79,
author = "G. H. Golub and C. F. {Van Loan}",
year = "1979",
title = "Total least squares",
pages = "69--76",
booktitle = "Smoothing Techniques for Curve Estimation",
editor = "T. Gasser and M. Rosenblatt",
publisher = "Springer-Verlag, New York",
kwds = "svd, tls"
}
@article{govl:80,
author = "G. H. Golub and C. F. {Van Loan}",
year = "1980",
title = "An Analysis of the Total Least Squares Problem",
journal = "SIAM J. Numer. Anal.",
volume = "17",
pages = "883-893",
kwds = "svd, tls"
}
@book{govl:89,
author = "G. H. Golub and C. F. {Van Loan}",
year = "1989",
title = "Matrix Computations, {\rm 2nd ed.}",
publisher = "Johns Hopkins University Press",
address = "Baltimore",
kwds = "la, survey"
}
@article{gova:61,
author = "G. H. Golub and R. S. Varga",
year = "1961",
title = "{Chebyshev} semi-iterative methods, successive Overrelaxation
Iterative Methods and Second Order {Richardson} Iterative
Methods, {Parts I and II}",
journal = "Numer. Math.",
volume = "3",
pages = "147--168",
kwds = "iter"
}
@inproceedings{gowi:65,
author = "G. H. Golub and J. H. Wilkinson",
year = "1965",
title = "Iterative Refinement of Least Squares Solutions",
booktitle = "Proceedings of the IFIP Congress 65, New York, 1965",
editor = "W. A. Kalenich",
pages = "606--607",
publisher = "Spartan Books, Washington",
kwds = "ir, qrd, err"
}
@article{gowi:66,
author = "G. H. Golub and J. H. Wilkinson",
year = "1966",
title = "Note on the Iterative Refinement of Least Squares Solution",
journal = "Numer. Math.",
volume = "9",
pages = "139-148",
kwds = "ir, qrd, err"
}
@article{gozh:94,
author = "G. H. Golub and H. Zha",
year = "1994",
title = "Perturbation Analysis of the Canonical Correlation of Matrix Pairs",
journal = "Linear Algebra Appl.",
volume = "210",
pages = "3--28",
kwds = "pert, err"
}
gr-
@article{grha:84,
author = "W. H. Gragg and W. J. Harrod",
year = "1984",
title = "The Numerically Stable Reconstruction of {Jacobi} Matrices
from Spectral Data",
journal = "Numer. Math.",
volume = "44",
pages = "317--335",
kwds = "eigv"
}
@article{gram:1883,
author = "J. P. Gram",
year = "1883",
title = "{\"U}ber die {E}ntwickelung reeller {F}unktionen in {R}eihen
mittelst der {M}ethode der kleinsten {Q}uadrate",
journal = "J. Reine Angew. Math.",
volume = "94",
pages = "41--73",
kwds = "grsch"
}
@article{gree:89,
author = "A. Greenbaum",
year = "1989",
title = "Behavior of Slightly Perturbed {Lanczos} and
Conjugate-gradient Recurrences",
journal = "Linear Algebra Appl.",
volume = "113",
pages = "7--63",
kwds = "cg, lanczos"
}
@article{grst:92,
author = "A. Greenbaum and Z. Strakos",
year = "1992",
title = "Predicting the Behavior of Finite Precision {Lanczos} and
Conjugate Gradient Computations",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "13",
pages = "121-137",
kwds = "cg, lanczos"
}
@article{grev:66,
author = "T. E. Greville",
year = "1966",
title = "Note on the Generalized Inverse of a Matrix Product",
journal = "SIAM Review",
volume = "8",
pages = "518--521",
kwds = "ginv"
}
@book{grhi:85,
author = "P. Griffiths and I. D. Hill",
year = "1985",
title = "Applied Statistical Algorithms",
publisher = "Ellis Horwood Ltd.",
address = "Chichester, UK",
kwds = "stat"
}
@article{grle:81,
author = "R.G. Grimes and J.G. Lewis",
year = "1981",
title = "Condition Number Estimation for Sparse Matrices",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "2",
pages = "384--388",
kwds = "cond, sparse"
}
@article{gros:80,
author = "E. Grosse",
year = "1980",
title = "Tensor Spline Approximations",
journal = "Linear Algebra Appl.",
volume = "34",
pages = "29--41",
kwds = "sparse, kron"
}
@techreport{guei:92,
author = "M. Gu and S. C. Eisenstat",
year = "1992",
title = "A Divide-And-Conquer Algorithm for the Bidiagonal {SVD}",
institution = "Department of Computer Science, Yale University",
address = "New Haven, CT",
type = "{Tech. Report}",
number = "YALEU/DCS/RR-933",
kwds = "svd, downd",
}
@techreport{guei:93b,
author = "M. Gu and S. C. Eisenstat",
year = "1993",
title = "A Stable and Fast Algorithm for Updating the Singular Value Decomposition",
institution = "Department of Computer Science, Yale University",
address = "New Haven, CT",
type = "{Tech. Report}",
number = "YALEU/DCS/RR-966",
kwds = "svd, downd",
}
@techreport{guei:94,
author = "M. Gu and S. C. Eisenstat",
year = "1994",
title = "An Efficient Algorithm for Computing a Strong
Rank-Revealing {QR} Decomposition",
institution = "Department of Computer Science, Yale University",
address = "New Haven, CT",
type = "{Tech. Report}",
number = "YALEU/DCS/RR-967",
kwds = "rrqrd",
}
@article{guei:95,
author = "M. Gu and S. C. Eisenstat",
year = "1995",
title = "A Divide-and-Conquer Algorithm for the Bidiagonal {SVD}",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "16",
pages = "79--92",
kwds = "svd, prll",
}
@article{guei:95a,
author = "M. Gu and S. C. Eisenstat",
year = "1995",
title = "Downdating the Singular Value Decomposition",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "16",
pages = "793--810",
kwds = "svd, downd",
}
@phdthesis{gull:93,
author = "M. Gulliksson",
year = "1993",
title = "Algorithms for Overdetermined Systems of Equations",
school = "Institute of Information Processing, University of Ume{\aa}",
address = "Ume{\aa}, Sweden",
type = "{Ph. D.} thesis",
number = "UMINF 93-11",
kwds = "qrd, wlsq,nlsq"
}
@article{gull:94,
author = "M. Gulliksson",
year = "1994",
title = "Iterative Refinement for Constrained and Weighted Linear Least Squares",
journal = "BIT",
volume = "34",
pages = "239--253",
kwds = "err, ir, wlsq, qrd",
}
@article{gull:95,
author = "M. Gulliksson",
year = "1995",
title = "Backward Error Analysis for the Constrained and Weighted Linear
Least Squares Problem when Using the Weighted {QR} Decomposition",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "16",
pages = "675--687",
kwds = "err, wlsq, qrd",
}
@article{gull:95b,
author = "M. Gulliksson",
year = "1995",
title = "On Modified {Gram-Schmidt} for Weighted and Constrained
Linear Least Squares",
journal = "BIT",
volume = "35",
pages = "458--473",
kwds = "err, wlsq, grsch",
}
@article{guwe:92,
author = "M. Gulliksson and P.-{\AA}. Wedin",
year = "1992",
title = "Modifying the {QR} Decomposition to Constrained and Weighted
Linear Least Squares",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "13:4",
pages = "1298--1313",
kwds = "qrd, wlsq"
}
@techreport{guwe:93,
author = "M. Gulliksson and P.-{\AA}. Wedin",
year = "1993",
title = "Numerical Aspects on Algorithms for Overdetermined Linear
Systems in $l_p$ Norm",
institution = "Institute of Information Processing, University of Ume{\aa}",
address = "Ume{\aa}, Sweden",
type = "{Tech. Report}",
number = "UMINF--93-11",
kwds = "nlsq, wlsq, constr",
}
@techreport{gusw:93,
author = "M. Gulliksson and I. S{\"o}derquist and P.-{\AA}. Wedin",
year = "1993",
title = "Algorithms for Weighted and Constrained Nonlinear Least Squares
Using the Modified {QR} Decomposition",
institution = "Institute of Information Processing, University of Ume\aa",
address = "Ume{\aa}, Sweden",
type = "{Tech. Report}",
number = "UMINF--93-05",
kwds = "nlsq, wlsq, constr",
}
@inproceedings{gust:76,
author = "F. G. Gustavson",
year = "1976",
title = "Finding the Block Lower Triangular Form of a Matrix",
pages = "275--289",
booktitle = "Sparse Matrix Computations",
editor = "J. R. Bunch and D. J. Rose",
publisher = "Academic Press, New York",
kwds = "sparse"
}
ha-
@incollection{hach:74,
author = "G. D. Hachtel",
year = "1974",
title = "Extended Applications of the Sparse Tableau Approach---Finite
Elements and Least Squares",
booktitle = "Basic questions in design theory",
editor = "W. Spillers",
publisher = " North-Holland, Amsterdam",
kwds = "sparse, augms"
}
@incollection{hach:76,
author = "G. D. Hachtel",
year = "1976",
title = "The Sparse Tableau Approach to Finite Element Assembly",
booktitle = "Sparse Matrix Computations",
editor = "J.R. Bunch and D. J. Rose",
publisher = "Academic Press, New York",
kwds = "sparse, augms"
}
@article{haly:80,
author = "L. A. Hageman and F. T. Luk and D. M. Young",
year = "1980",
title = "On the Equivalence of Certain Iterative Acceleration Methods",
journal = "SIAM J. Numer. Anal.",
volume = "17",
pages = "852--873",
kwds = "iter"
}
@book{hayo:81,
author = "L. A. Hageman and D. M. Young",
year = "1981",
title = "Applied Iterative Methods",
publisher = "Academic Press",
address = "New York, London",
kwds = "iter, survey"
}
@article{hage:84,
author = "W. W. Hager",
year = "1984",
title = "Condition Estimates",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "5",
pages = "311--316",
kwds = "cond, err"
}
@article{hage:89,
author = "W. W. Hager",
year = "1989",
title = "Updating the Inverse of a Matrix",
journal = "SIAM Review",
volume = "31",
pages = "221--239",
kwds = "upd"
}
@article{hamm:74,
author = "S. Hammarling",
year = "1974",
title = "A Note on Modifications to the {Givens} Plane Rotation",
journal = "J. Inst. Maths. Applic.",
volume = "13",
pages = "215--218",
kwds = "rot"
}
@techreport{hamm:85,
author = "S. Hammarling",
year = "1985",
title = "The Numerical Solution of the General {Gauss-Markov} Linear Model",
institution = "Numerical Algorithms Group Ltd.",
address = "Oxford, UK",
type = "NAG {Tech. Report}",
number = "TR2/85",
kwds = "glsq"
}
@inproceedings{hapy:90,
author = "C. {-G}. Han and P. M. Pardalos and Y. Ye",
year = "1990",
title = "Computational Aspects of an Interior Point Algorithm for
Quadratic Programming Problems with Box Constraints",
booktitle = "Large Scale Numerical Optimization, Proceedings,
Cornell University, Ithaca, October 19--20, 1989 ",
editor = "T. F. Coleman and Y. Li",
pages = "92--112",
publisher = "SIAM, Philadelphia",
kwds = "sparse, constr"
}
@article{hank:91,
author = "M. Hanke",
year = "1991",
title = "Accelerated {Landweber} Iterations for the Solution of
Ill-posed Equations",
journal = "Numer. Math.",
volume = "60",
pages = "341--373",
kwds = "illp, regul, iter"
}
@book{hank:95,
author = "M. Hanke",
year = "1995",
title = "Conjugate Gradient Type Methods for Ill-posed Problems",
publisher = "Longman Scientific and Technical, Harlow, UK",
series = "Pitman Research Notes in Mathematics",
kwds = "illp, regul, iter"
}
@article {MR2058859,
AUTHOR = {Hanke, Martin},
TITLE = {On {L}anczos based methods for the regularization of
discrete
ill-posed problems},
NOTE = {BIT 40th Anniversary Meeting},
JOURNAL = {BIT},
FJOURNAL = {BIT. Numerical Mathematics},
VOLUME = {41},
YEAR = {2001},
NUMBER = {5, suppl.},
PAGES = {1008--1018},
ISSN = {0006-3835},
MRCLASS = {65F22},
MRNUMBER = {2 058 859},
}
@article{haha:94,
author = "M. Hanke and P. C. Hansen",
year = "1994",
title = "Regularization Methods for Large-Scale Problems",
journal = "Surveys Math. Indust.",
volume = "3",
pages = "253--315",
kwds = "illp, regul, sparse"
}
@article{hane:93,
author = "M. Hanke and M. Neumann",
year = "1992",
title = "The Geometry of the Set of Scaled Projections",
journal = "Linear Algebra Appl.",
volume = "190",
pages = "137--148",
kwds = "wlsq"
}
@article{hans:87,
author = "P. C. Hansen",
year = "1987",
title = "The Truncated {SVD} as a Method for Regularization",
journal = "BIT",
volume = "27",
pages = "534--553",
kwds = "svd, illp, regul"
}
@article{hans:90,
author = "P. C. Hansen",
year = "1990",
title = "Truncated Singular Value Decomposition Solutions to Discrete
Ill-Posed Problems with Ill-determined Numerical Rank",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "11",
pages = "503--518",
kwds = "svd, illp, rank"
}
@article{hans:90a,
author = "P. C. Hansen",
year = "1990",
title = "Relations between {SVD} and {GSVD} of Discrete Regularization Problems
in Standard and General Form",
journal = "Linear Algebra Appl.",
volume = "141",
pages = "165--176",
kwds = "illp, regul,gsvd"
}
@article{hans:92,
author = "P. C. Hansen",
year = "1992",
title = "Analysis of Ill-Posed Problems By Means of the {L}-Curve",
journal = "SIAM Review",
volume = "34",
pages = "561--580",
kwds = "illp, regul"
}
@phdthesis{hans:95,
author = "P. C. Hansen",
year = "1995",
title = "Rank-Deficient and Discrete Ill-Posed Problems",
school = "UNI$\bullet$C, Technical University of Denmark",
address = "Lyngby, Denmark",
type = "{Doctoral} thesis",
number = "UNIC-95-07",
kwds = "illp, regul"
}
@book {MR99a:65037,
AUTHOR = {HANSEN, P.C.},
TITLE = {Rank-deficient and discrete ill-posed problems},
SERIES = {SIAM Monographs on Mathematical Modeling and Computation},
NOTE = {Numerical aspects of linear inversion},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1998},
PAGES = {xvi+247},
ISBN = {0-89871-403-6},
MRCLASS = {65F05 (65F10 65F20)},
MRNUMBER = {99a:65037},
MRREVIEWER = {Jin Xi Zhao},
}
@article {MR94k:65062,
AUTHOR = {HANSEN, P.C.},
TITLE = {Regularization tools: a {M}atlab package for analysis and
solution of discrete ill-posed problems},
JOURNAL = {Numer. Algorithms},
FJOURNAL = {Numerical Algorithms},
VOLUME = {6},
YEAR = {1994},
NUMBER = {1-2},
PAGES = {1--35},
ISSN = {1017-1398},
MRCLASS = {65F30 (65F20)},
MRNUMBER = {94k:65062},
}
@article {MR94h:65045,
AUTHOR = {HANSEN, P.C. and O'LEARY, D.P.},
TITLE = {The use of the {$L$}-curve in the regularization of
discrete
ill-posed problems},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {14},
YEAR = {1993},
NUMBER = {6},
PAGES = {1487--1503},
ISSN = {1064-8275},
CODEN = {SJOCE3},
MRCLASS = {65F30 (65F20)},
MRNUMBER = {94h:65045},
MRREVIEWER = {Jose Cuminato},
}
@article {MR93k:65035,
AUTHOR = {HANSEN, P.C.},
TITLE = {Analysis of discrete ill-posed problems by means of the
{${L}$}-curve},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review. A Publication of the Society for Industrial
and
Applied Mathematics},
VOLUME = {34},
YEAR = {1992},
NUMBER = {4},
PAGES = {561--580},
ISSN = {0036-1445},
CODEN = {SIREAD},
MRCLASS = {65F20 (65F30)},
MRNUMBER = {93k:65035},
MRREVIEWER = {Jin Xi Zhao},
}
@article {MR91e:65058,
AUTHOR = {HANSEN, P.C.},
TITLE = {Truncated singular value decomposition solutions to
discrete
ill-posed problems with ill-determined numerical rank},
JOURNAL = {SIAM J. Sci. Statist. Comput.},
FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Scientific and Statistical Computing},
VOLUME = {11},
YEAR = {1990},
NUMBER = {3},
PAGES = {503--518},
ISSN = {0196-5204},
CODEN = {SIJCD4},
MRCLASS = {65F30},
MRNUMBER = {91e:65058},
MRREVIEWER = {Lars Eld{\'e}n},
}
@article{hage:93,
author = "P. C. Hansen and H. Gesmar",
year = "1993",
title = "Fast Orthogonal Decomposition of Rank Deficient Toeplitz Matrices",
journal = "Numer. Algorithms",
volume = "4",
pages = "151-166",
kwds = "qrd, toep"
}
@article{haol:93,
author = "P. C. Hansen and D. O'Leary",
year = "1993",
title = "The Use of the {L}-Curve in the Regularization of Discrete
Ill-Posed Problems",
journal = " SIAM J. Sci. Comput.",
volume = "14",
pages = "1487--1503",
kwds = "illp, regul"
}
@article{hans:86,
author = "R. J. Hanson",
year = "1986",
title = "Linear Least Squares with Bounds and Linear Constraints",
journal = " SIAM J. Sci. Statist. Comput.",
volume = "7",
pages = "826--834",
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author = "R. J. Plemmons",
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institution = "Institute for Mathematics and Its Applications,
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address = "Minneapolis, MN",
type = "{Tech. Report}",
number = "\#982",
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author = "C. Puglisi",
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title = "{QR} Factorization of Large Sparse Overdetermined and Square
Matrices with the Multifrontal Method in a Multiprocessing Environment",
school = "Institut National Polytechnique de Toulouse",
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address = "Toulouse, France",
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Large Systems of Linear Equations",
pages = "231--254",
booktitle = "Large Sparse Sets of Linear Equations",
editor = "J.~K. Reid",
publisher = "Academic Press, New York",
kwds = "sparse, iter, cg"
}
@article{reid:72,
author = "J. K. Reid",
year = "1972",
title = "On the Use of Conjugate Gradients for Systems of Linear
Equations Possessing {``Property A''}",
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kwds = "iter, cg"
}
@techreport{reid:84,
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year = "1984",
title = "{TREESOLVE}, a {Fortran} Package for Solving Large Sets of
Linear Finite Element Solutions",
institution = " Computer Science and Systems Division, AERE Harwell",
address = "Oxfordshire, UK",
type = "{Tech. Report}",
number = "CSS 155, 1984",
kwds = "sparse, multfr"
}
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author = "J. K. Reid ",
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booktitle = "The State of the Art in Numerical Analysis",
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kwds = "sparse"
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kwds = "spline, regul"
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%ri-
@article{rice:66,
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kwds = "sparse, survey"
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%ru-
@inproceedings{rose:72,
author = "D. J. Rose",
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kwds = "sparse, graph"
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rut-
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author = "H. Rutishauser",
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@book{ruti:67,
author = "H. Rutishauser",
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author = "H. Rutishauser",
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sa-
@article{saad:80,
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author = "M. A. Saunders",
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institution = "Computer Science Department, Stanford University",
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kwds = "chol, upd, downd"
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author = "M. A. Saunders",
year = "1979",
title = "Sparse Least Squares by Conjugate Gradients: {A} Comparison
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booktitle = "Proceedings of Computer Science and Statistics:
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editor = "",
pages = "",
publisher = "",
address = "Waterloo, Canada",
kwds = "iter, precond, cg"
}
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year = "1995",
title = "Solution of Sparse Rectangular Systems Using {LSQR} and {CRAIG}",
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kwds = "iter, cg, lanczos"
}
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volume = "30",
pages = "165--184",
kwds = "rank, ginv"
}
sc-
@article{scha:85,
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kwds = "constr"
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@incollection{schi:85,
author = "K. Schittkowski",
year = "1985",
title = "Solving Constrained Nonlinear Least Squares Problems by a
General Purpose {SOP}-method",
booktitle = "Trends in Mathematical Optimization",
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C. Lemar\'echal and J. Zowe",
series = "International Series of Numerical Mathematics",
volume = "84",
publisher = "Birkh{\"a}user-Verlag, Basel, Switzerland",
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kwds = "nlsq"
}
@article{scst:79,
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kwds = "qrd, constr, upd, grsch"
}
@techreport{sczi:85,
author = "K. Schittkowski and P. Zimmermann",
year = "1985",
title = "A Factorization Method for Constrained Least Squares Problems with
Data Changes. {Part} {\rm 2}: Numerical Tests, Comparisons, and {ALGOL} Codes",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik,
Universit{\"a}t W{\"u}rzburg",
address = "Germany",
type = "{Tech. Report}",
number = "Preprint No. 30",
kwds = "qrd, constr, upd, soft, grsch"
}
@article{schm:07,
author = "E. Schmidt",
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kwds = "grsch"
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kwds = "chol,syst,upd,downd"
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author = "R. Schreiber and C. F. {Van Loan}",
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kwds = "nlsq, tls, orthreg"
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author = "H. D. Scolnik",
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author = "G. A. F. Seber",
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kwds = "sparse, lud"
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sk-
@article{skee:79,
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sl-
@article{slui:69,
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author = "A. van der Sluis",
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kwds = "err, pert"
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kwds = "rank, orth"
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author = "A. van der Sluis and H. van der Vorst",
year = "1987",
title = "Numerical Solution of Large Sparse Linear Equations and
Least Squares Problems",
booktitle = "Seismic Tomography",
editor = "G. Nolet",
publisher = "Reidel, Dordrecht, the Netherlands",
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kwds = "rank, orth"
}
@article{slvo:90,
author = "A. van der Sluis and H. van der Vorst",
year = "1990",
title = "{SIRT-} and {CG-}Type Methods for Iterative Solution of
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volume = "130",
pages = "257--302",
kwds = "iter, cg"
}
@phdthesis{sode:93,
author = "I. S{\"o}derquist",
year = "1993",
title = "Computing Parameters in Nonlinear Least Squares Models",
school = "University of Ume{\aa}",
institution = "Department of Computer Science",
address = "Sweden",
type = "{Ph. D.} thesis",
kwds = "nlsq, constr"
}
%st-
@article{spat:82,
author = "H. Sp{\"a}th",
year = "1982",
title = "On Discrete Linear Orthogonal $L_p$ Approximation",
journal = "Z. Angew. Math. Mech.",
volume = "62",
pages = "354--355",
kwds = "nlsq, geom"
}
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author = "H. Sp{\"a}th",
year = "1986",
title = "Orthogonal Least Squares Fitting with Linear Manifolds",
journal = "Numer. Math.",
volume = "48",
pages = "441--445",
kwds = "nlsq, geom"
}
@article{spat:90,
author = "H. Sp{\"a}th",
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volume = "20",
pages = "587--589",
kwds = "ne, grsch"
}
@book{spat:92,
author = "H. Sp{\"a}th",
year = "1992",
title = "Mathematical Algorithms for Linear Regression",
publisher = "Academic Press",
address = "New York",
kwds = "regr, stat, survey"
}
@article{stew:69,
author = "G.W. STEWART",
year = "1969",
title = "On the Continuity of the Generalized Inverse",
journal = "SIAM J. Appl. Math.",
volume = "17",
pages = "33--45",
kwds = "nla, pert, ginv"
}
@book{stew:73,
author = "G.W. STEWART",
year = "1973",
title = "Introduction to Matrix Computations",
publisher = "Academic Press",
address = "New York",
kwds = "nla, survey"
}
@article{stew:76,
author = "G.W. STEWART",
year = "1976",
title = "The Economical Storage of Plane Rotations",
journal = "Numer. Math.",
volume = "25",
pages = "137--138.",
kwds = "qrd, rot"
}
@article{stew:77,
author = "G.W. STEWART",
year = "1977",
title = "Perturbation Bounds for the {QR} Factorization of a Matrix",
journal = "SIAM J. Numer. Anal.",
volume = "14",
pages = "509--518",
kwds = "err, qrd"
}
@inproceedings{stew:77a,
author = "G.W. STEWART",
year = "1977",
title = "Research Development and {LINPACK}",
booktitle = "Mathematical Software III",
editor = "J. R. Rice",
publisher = "Academic Press, New York",
pages = "1-14",
kwds = "soft, pert, survey"
}
@article{stew:77b,
author = "G.W. STEWART",
year = "1977",
title = "On the Perturbation of Pseudo-Inverses, Projections, and Linear
Least Squares Problems",
journal = "SIAM Review",
volume = "19",
pages = "634-662",
kwds = "nla, pert, ginv, orth"
}
@article{stew:79,
author = "G.W. STEWART",
year = "1979",
title = "The Effects of Rounding Error on an Algorithm for Downdating a
{Cholesky} Factorization",
journal = "J. Inst. Maths. Applic.",
volume = "23",
pages = "203-213",
kwds = "nla, err, downd, chol"
}
@article{stew:79a,
author = "G.W. STEWART",
year = "1979",
title = "A Note on the Perturbation of Singular Values",
journal = "Linear Algebra Appl.",
volume = "28",
pages = "213--216",
kwds = "svd, pert"
}
@article{stew:80,
author = "G.W. STEWART",
year = "1980",
title = "The Efficient Generation of Random Orthogonal Matrices
with an Application to Condition Estimators",
journal = "SIAM J. Numer. Anal.",
volume = "17",
pages = "403--404",
kwds = "nla, rand, qrd, cond, orth"
}
@article{stew:81,
author = "G.W. STEWART",
year = "1981",
title = "On the Implicit Deflation of Nearly Singular Systems of Linear
Equations",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "2",
pages = "136--140",
kwds = "rank,ginv"
}
@article{stew:82,
author = "G.W. STEWART",
year = "1982",
title = "Computing the {CS} Decomposition of a
Partitioned Orthogonal Matrix",
journal = "Numer. Math.",
volume = "40",
pages = "297-306",
kwds = "svd, csd, orth"
}
@inproceedings{stew:83,
author = "G.W. STEWART",
year = "1983",
title = "A Method for Computing the Generalized Singular Value
Decomposition",
pages = "207--220",
booktitle = "Matrix Pencils. Proceedings, Pite Havsbad, 1982",
editor = "B. K{\aa}gstr{\"o}m and A. Ruhe",
publisher = "Springer-Verlag, Berlin",
series = "Lecture Notes in Mathematics",
volume = "973",
kwds = "gsvd"
}
@techreport{stew:83a,
author = "G.W. STEWART",
year = "1983",
title = "A Generalization of the {Eckart-Young} Approximation Theorem",
institution = "Department of Computer Science,
University of Maryland",
address = "College Park, MD",
number = "TR-1325",
kwds = "pert, max, tls"
}
@techreport{stew:83b,
author = "G.W. STEWART",
year = "1983",
title = "A Nonlinear Version of {Gauss's} Minimum Variance Theorem
with Applications to an Errors-in-the-Variables Model",
institution = "Department of Computer Science, University of Maryland",
address = "College Park, MD",
type = "{Tech. Report}",
number = "TR-1263",
kwds = "tls, regr, nlsq, pert"
}
@article{stew:84,
author = "G.W. STEWART",
year = "1984",
title = "Rank Degeneracy",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "5",
pages = "403--413",
kwds = "rank, rrqrd"
}
@article{stew:84a,
author = "G.W. STEWART",
year = "1984",
title = "On the Invariance of Perturbed Null Vectors under Column Scaling",
journal = "Numer. Math.",
volume = "44",
pages = "61--65",
kwds = "scale, pert"
}
@article{stew:84b,
author = "G.W. STEWART",
year = "1984",
title = "On the Asymptotic Behavior of Scaled Singular and {QR} Decompositions",
journal = "Math. Comp.",
volume = "43(168)",
pages = "168--489",
kwds = "rank, rrqrd"
}
@article{stew:87,
author = "G.W. STEWART",
year = "1987",
title = "Collinearity and Least Squares Regression",
journal = "Statistical Science",
volume = "2",
pages = "68-100",
kwds = "stat, regr, tls, rank"
}
@article{stew:90,
author = "G.W. STEWART",
year = "1990",
title = "On Scaled Projections and Pseudoinverses",
journal = "Linear Algebra Appl.",
volume = "132",
pages = "115--117",
kwds = "wlsq"
}
@inproceedings{stew:90a,
author = "G.W. STEWART",
year = "1990",
title = "Perturbation Theory and Least Squares with Errors in
the Variables",
booktitle = "Contemporary Mathematics 112: Statistical
Analysis of Measurement Error Models and
Applications",
editor = "P. J. Brown and W. A. Fuller",
pages = "171--181",
publisher = "American Mathematical Society, Providence, RI",
kwds = "stat, pert, regr"
}
@techreport{stew:91,
author = "G.W. STEWART",
year = "1991",
title = "On an Algorithm for Refining a Rank-Revealing {URV}
Factorization and a Perturbation Theorem for Singular Values",
institution = "Department of Computer Science, University of Maryland",
address = "College Park, MD",
type = "{Tech. Report}",
number = "UMIACS-TR-91-38, CS-TR-2626",
kwds = "rrqrd, pert, svd"
}
@article{stew:92,
author = "G.W. STEWART",
year = "1992",
title = "An Updating Algorithm for Subspace Tracking",
journal = "IEEE Trans. Signal Processing",
volume = "40",
pages = "1535--1541",
kwds = "upd, rrqrd"
}
@article{stew:93a,
author = "G.W. STEWART",
year = "1993",
title = "Updating a Rank-Revealing {ULV} Decomposition",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "14",
pages = "494--499",
kwds = "upd, rrqrd"
}
@article{stew:93b,
author = "G.W. STEWART",
year = "1993",
title = "On the Perturbation of {LU}, {Cholesky}, and {QR} Factorizations",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "14",
pages = "1141--1145",
kwds = "pert, qrd, chol"
}
@article{stew:93c,
author = "G.W. STEWART",
year = "1993",
title = "On the Early History of the Singular Value Decomposition",
journal = "SIAM Review",
volume = "35",
pages = "551--566",
kwds = "svd, hist"
}
@techreport{stew:94,
author = "G.W. STEWART",
year = "1994",
title = "On the Stability of Sequential Updates and Downdates",
institution = "Department of Computer Science, University of Maryland",
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type = "{Tech. Report}",
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kwds = "downd, stab"
}
@book{stsu:90,
author = "G.W. STEWART and J.{-G}. SUN",
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kwds = "pert, survey"
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kwds = "cg, iter"
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kwds = "iter, regul"
}
%su-
@techreport{sunc:95,
author = "C. Sun",
year = "1995",
title = "Parallel Solution of Sparse Linear Least Squares Problems on
Distributed-Memory Multiprocessors",
institution = "Advanced Computing Research Institute, Cornell University",
address = "Ithaca, NY",
type = "{Tech. Report}",
number = "CTC95TR212, 05/95",
kwds = "sparse, qrd, prll"
}
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author = "C. Sun",
year = "1996",
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journal = "SIAM J. Sci. Comput.",
note = "to appear",
volume = "",
pages = "",
kwds = "sparse, qrd, prll"
}
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year = "1991",
title = "Perturbation Bounds for the {Cholesky} and {QR} Factorizations",
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volume = "31",
pages = "341--352",
kwds = "pert, chol, qrd"
}
@article{sun:95,
author = "J.-G. Sun",
year = "1995",
title = "On Perturbation Bounds for the {QR} Factorization",
journal = "Linear Algebra Appl.",
volume = "215",
pages = "95--111",
kwds = "pert, qrd"
}
@article{sun:95a,
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year = "1995",
title = "Perturbation Analysis of the {Cholesky} Downdating and
{QR} Updating Problems",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "16",
pages = "760--775",
kwds = "err, pert, upd",
}
@article{sun:96,
author = "J.-G. Sun",
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journal = "IMA J. Numer. Anal.",
volume = "16",
pages = "1--11",
kwds = "err, pert",
}
%sw-
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%ta-
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@techreport{toin:87a,
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title = "{VE{\rm 10}AD} A routine for Large-Scale Nonlinear Least Squares",
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kwds = "sparse, nlsq, soft"
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@techreport{vhjs:76,
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kwds = "iter, svd"
}
@phdthesis{vhuf:87,
author = "S. {Van Huffel}",
year = "1987",
title = "Analysis of the Total Least Squares Problem
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school = "Katholieke Universiteit Leuven, Belgium",
institution = "ESAT Lab., Department of Electr. Eng.",
type = "{Ph. D.} thesis",
kwds = "tls, regr, thesis"
}
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kwds = "tls"
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kwds = "tls, survey"
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kwds = "tls, svd"
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@article{vhzh:91,
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volume = "12",
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kwds = "tls, svd"
}
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kwds = "tls, svd"
}
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kwds = "constr, wlsq"
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@article{vanl:85a,
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kwds = "illp, regul"
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@article{vara:94,
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@book{varg:62,
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author = "U. von MATT",
year = "1993",
title = "Large Constrained Quadratic Problems",
school = "Institute for Scientific Computing, ETH",
address = "Z{\"u}rich, Switzerland",
type = "{Ph. D.} thesis",
kwds = "constr, nlsq"
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author = "U. von Matt",
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@phdthesis{wald:94,
author = "B. Wald\'en",
year = "1994",
title = "Least Squares Methods and Application in Robotics",
school = "Department of Mathematics, Link{\"o}ping University",
address = "Sweden",
type = "{Ph. D.} thesis",
kwds = "regul, nlsq"
}
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author = "B. Wald\'en and R. Karlsson and J.-G. Sun",
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kwds = "err, pert"
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kwds = "stat, regr, err, grsch, test"
}
@article{wamp:70,
author = "R. H. Wampler",
year = "1970",
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kwds = "err, test, grsch"
}
@inproceedings{wamp:72,
author = "R. H. Wampler",
year = "1972",
title = "Some Recent Developments in Linear Least Squares Computations",
booktitle = "Proceedings of the Computer Science and Statistics:
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kwds = "grsch, stat"
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author = "R. H. Wampler",
year = "1979",
title = "Solutions to Weighted Least Squares Problems by
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kwds = "qrd, grsch, ir, wlsq"
}
@article{wamp:79a,
author = "R. H. Wampler",
year = "1979",
title = "{L{\rm 2}A} and {L{\rm 2}B}, Weighted Least Squares Solutions by
Modified {Gram--Schmidt} with Iterative Refinement",
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kwds = "qrd, grsch, ir, wlsq, soft, weights"
}
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@phdthesis{wang:93,
author = "X. Wang",
year = "1993",
title = "Incomplete Factorization Preconditioning for Least Squares Problems",
school = "Department of Mathematics, University of Illinois at Urbana-Champaign",
address = "Urbana, IL",
type = "{Ph. D.} thesis",
kwds = "iter, precond"
}
@article{wagb:96,
author = "X. Wang and K. A. Gallivan and R. Bramley",
year = "1996",
title = "{CIMGS}: An Incomplete Orthogonal Factorization Preconditionier",
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kwds = "rob"
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@techreport{wedi:72a,
author = "P.-{\AA}. Wedin",
year = "1972",
title = "The Non-Linear Least Squares Problem from a Numerical
Point of View. {I} {Geometrical} Properties",
institution = "Department of Computer Sciences, Lund University",
address = "Lund, Sweden",
type = "{Tech. Report}",
number = "",
kwds = "nlsq, pert"
}
@article{wedi:72,
author = "P.-{\AA}. Wedin",
year = "1972",
title = "Perturbation Bounds in Connection with the Singular Value
Decomposition",
journal = "BIT",
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pages = "99--111",
kwds = "svd, pert, rank"
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@article{wedi:73a,
author = "P.-{\AA}. Wedin",
year = "1973",
title = "On the Almost Rank Deficient Case of the Least
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pages = "344--354",
kwds = "pert, rank, svd"
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author = "P.-{\AA}. Wedin",
year = "1973",
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kwds = "pert, rank, ginv"
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@techreport{wedi:74,
author = "P.-{\AA}. Wedin",
year = "1974",
title = "On the {Gauss-Newton} Method for the Nonlinear Least Squares Problems",
institution = "Institute for Applied Mathematics",
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kwds = "nlsq"
}
@techreport{wedi:78,
author = "P.-{\AA}. Wedin",
year = "1978",
title = "Perturbations of the Pseudo-Inverse and the Linear Least
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institution = "Institute of Information Processing, University of Ume\aa",
address = "Sweden",
type = "{Tech. Report}",
number = "UMINF--69.78",
kwds = "pert, ginv"
}
@techreport{wedi:79,
author = "P.-{\AA}. Wedin",
year = "1979",
title = "Notes on the Constrained Linear Least Squares Problem. {A} New
Approach Based on Generalized Inverses",
institution = "Institute of Information Processing, University of Ume\aa",
address = "Sweden",
type = "{Tech. Report}",
number = "UMINF--75.79",
kwds = "constr, ginv"
}
@techreport{wedi:85,
author = "P.-{\AA}. Wedin",
year = "1985",
title = "Perturbation Theory and Condition Numbers for Generalized
and Constrained Linear Least Squares Problems",
institution = "Institute of Information Processing, University of Ume\aa",
address = "Sweden",
type = "{Tech. Report}",
number = "UMINF--125.85",
kwds = "pert, ginv, constr, cond, wlsq"
}
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%wi-
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}
@article{wilk:71,
author = "J. H. Wilkinson",
year = "1971",
title = "Modern Error Analysis",
journal = "SIAM Review",
volume = "13",
pages = "548--568",
kwds = "error, hist, survey"
}
@techreport{wilk:77a,
author = "J. H. Wilkinson",
year = "1977",
title = "The Use of Single Precision-Residuals in the Solution of
Linear Systems",
institution = "National Physical Laboratory",
address = "Teddington, UK",
type = "unpublished report",
kwds = "ir, err"
}
@inproceedings{wilk:77,
author = "J. H. Wilkinson",
year = "1977",
title = "Some recent advances in numerical linear algebra",
pages = "1--53",
booktitle = "The State of the Art in Numerical Analysis",
editor = "D.A.H. Jacobs",
publisher = "Academic Press, New York",
kwds = "nla"
}
@article{wilk:86,
author = "J. H. Wilkinson",
year = "1986",
title = "Error Analysis Revisited",
journal = "IMA Bulletin",
volume = "22",
pages = "192--200",
kwds = "error, hist"
}
@book{wire:71,
author = "J. H. Wilkinson and C. Reinsch",
year = "1971",
title = "Handbook for Automatic Computation Volume II. Linear Algebra",
publisher = "Springer-Verlag",
address = "New York",
kwds = "nla, soft, eig, svd, qrd, survey"
}
@article{witt:36,
author = "H. Wittmeyer",
year = "1936",
title = "{E}influss der {{\"A}nderung} einer {M}atrix auf der {L}{\"o}sung
des zugeh{\"o}rigen {G}leichungssystems, sowie auf die charakterischen
{Z}ahlen und die {E}igenvektoren",
journal = "Z. Angew. Math. Mech.",
volume = "16",
pages = "189--199",
kwds = "err"
}
@article{wrho:85,
author = "S. J. Wright and J. N. Holt",
year = "1985",
title = "Algorithms for Nonlinear Least Squares with Linear Inequality
Constraints",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "6",
pages = "1033--1048",
kwds = "nlsq, constr"
}
@article{yopa:96,
author = "K. Yoo and H. Park",
year = "1996",
title = "Accurate Downdating of a modified {Gram-Schmidt QR} Decomposition",
journal = "BIT",
volume = "36",
pages = "166--181",
kwds = "downd, qrd, grsch"
}
@book{youn:71,
author = "D. M. Young",
year = "1971",
title = "Iterative Solution of Large Linear Systems",
publisher = "Academic Press",
address = "New York",
kwds = "iter, survey"
}
@phdthesis{yuan:93,
author = "J.-Y. Yuan",
year = "1993",
title = "Iterative Methods for the Generalized Least-Squares Problem",
school = "Instituto de Matem\'atica Pura e Aplicada",
address = " Rio de Janeiro, Brazil",
type = "{Ph. D.} thesis",
kwds = "iter, thesis"
}
@article{yuan:93a,
author = "J.-Y. Yuan",
year = "1993",
title = "The Convergence of the {\rm 2}-block {SAOR} Method for the
Least-Squares Problem ",
journal = "Appl. Numer. Math.",
volume = "11",
pages = "429--441",
kwds = "iter"
}
%za-
@article{zha:91,
author = "H. Zha",
year = "1991",
title = "Implicit {QR} Factorization of a Product of Three Matrices",
journal = "BIT",
volume = "31",
pages = "375--379",
kwds = "qrd, ginv, test"
}
@article{zha:91a,
author = "H. Zha",
year = "1991",
title = "Restricted Singular Value Decomposition of Matrix Triples",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "12",
pages = "172--194",
kwds = "qrd, ginv, test"
}
@article{zha:92,
author = "H. Zha",
year = "1992",
title = "A Two-way Chasing Scheme for Reducing a Symmetric
Arrowhead Matrix to Tridiagonal Form",
journal = "J. Numerical Linear Algebra Appl.",
volume = "1",
pages = "49--57",
kwds = "svd, upd"
}
@article{zha:93,
author = "H. Zha",
year = "1993",
title = "A Componentwise Perturbation Analysis of the {$QR$} Decomposition",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "14",
pages = "1124--1131",
kwds = "qrd, pert"
}
@incollection{zele:62,
author = "M. Zelen",
year = "1962",
title = "Linear Estimation and Related Topics",
booktitle = "Survey of Numerical Analysis",
editor = "J. Todd",
publisher = "McGraw-Hill, New York",
pages = "558--584",
kwds = "stat, hist"
}
@article{ziel:86,
author = "G. Zielke",
year = "1986",
title = "Report on Test Matrices for Generalized Inverses",
journal = "Computing",
volume = "36",
pages = "105--162",
kwds = "ginv, test"
}
@phdthesis{zimm:77,
author = "P. Zimmermann",
year = "1977",
title = "{Ein Algorithmus zur L{\"o}sung linearer Least Squares Probleme
mit unteren und oberen Schranken als Nebenbedingungen}",
school = "Universit{\"a}t W{\"u}rzburg",
address = "Germany",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik",
type = "{D}iplomarbeit",
kwds = "constr"
}
@article{zlat:82,
author = "Z. Zlatev",
year = "1982",
title = "Comparison of Two Pivotal Strategies in Sparse Plane Rotations",
journal = " Comput. Math. Appl.",
volume = "8",
pages = "119--135",
kwds = "sparse, perm, rot"
}
@book{zlat:92,
author = "Z. Zlatev",
year = "1992",
title = "Computational Methods for General Sparse Matrices",
publisher = "Kluwer Academic Publishers",
address = "Norwell, MA",
kwds = "sparse, perm, rot"
}
@techreport{zlni:79,
author = "Z. Zlatev and H. Nielsen",
year = "1979",
title = "{LLSS{\rm 01}} - A {Fortran} Subroutine for Solving Least Squares
Problems ({User's} Guide)",
institution = "Institute of Numerical Analysis, Technical University of
Denmark",
address = "Lyngby, Denmark",
type = "{Tech. Report}",
number = "79-07",
kwds = "soft, sparse"
}
@article{zlni:88,
author = "Z. Zlatev and H. Nielsen",
year = "1988",
title = "Solving Large and Sparse Linear Least-Squares Problems by
Conjugate Gradient Algorithms",
journal = "Comput. Math. Appl.",
volume = "15",
pages = "185--202",
note = "",
kwds = "cg, precond, sparse, iter"
}
@unpublished{altkeys,
author = "Zzzzz, Rip van",
year = "1991",
title = "Alternate Key Words",
kwds = "augmented system (augms)
backward perturbation (pert),
banded least squares (band),
blas (blas),
block angular system (basys),
block methods (block),
Chebyshev approximation (cheb),
Cholesky (chol),
condition (cond),
conjugate gradients (cg),
constrained least squares (constr),
control theory (contr),
covariance matrix (covar),
CS decomposition (csd),
downdating (downd),
equilibration (scale),
error estimate (err),
generalized eigenvalue problems (geig),
fill-in (fill),
generalized inverse (ginv),
generalized linear model (glsq),
generalized QR decomposition (gqrd),
geodesy (geod),
generalized singular value decomposition (gsvd),
Givens rotation (rot),
graph theory (graph),
Gram-Schmidt (grsch),
history of least squares ( hist),
Householder (house),
hyperbolic rotation (hyp),
ill-posed (regul),
interior point methods (intpoint),
interval analysis (err),
iterative method (iter),
iterative refinement (ir),
Lanczos (lanczos),
linear algebra general (la),
LU decomposition (lud),
matrix approximation (max),
nested dissection (nestdis),
nonlinear least squares (nlsq),
normal equations (ne),
numerical linear algebra (nla)
optimization (opt),
ordering for sparsity (perm),
orthogonalization (orth),
orthogonal regression (orthreg),
precision (err),
preconditioning (precond),
pseudo-inverse (ginv),
parallel computation (prll),
perturbation theory (pert),
polynomial approximation (poly)
projection (orth),
QR decomposition (qrd),
quadratic programming (quadpr),
random matrix (rand),
rank degenerate problems (rank),
rank revealing QR factorization (rrqrd),
recursive least squares (rls),
regularization (regul),
regression (regr),
robust estimation (rob),
scaling (scale),
signal processing (sigp),
singular value decomposition (svd),
spline approximation (spline),
survey paper/book (survey),
systolic (syst),
software (soft),
sparse (sparse),
statistics (stat),
test matrix (test),
Toeplitz (toep),
total least squares (tls),
underdetermined systems (uds),
updating (upd),
variable projection (varpro),
vector processing (prll),
weighted least squares (wlsq)"
}
.danielc.bib 0000600 0010230 0010230 00000034732 12346654603 014032 0 ustar hwolkowi hwolkowicz # This file contains miscellaneous (mathematical) bib entries
## for Daniel 2010 for the nearest correlation matrix problem
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in this file .master.bib.
####
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
#### as part of:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
###
### I will also include these in the dedicated file .strings.bib
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
####
#### The string definitions are in this file .master.bib
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/master.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
###################################
###################################
###################################
####string definitions start - always in .master.bib file first.
#### i.e. changes are made in this file and copied to .strings.bib
#############
#############
########### definitions from Sturm start here
#### definitions are put at start - others follow below.
@STRING{ SV = "Springer-Verlag" }
@STRING{ MGH = "Mc{G}raw-Hill" }
@STRING{ W = "Wiley" }
@STRING{ JW = "John Wiley" }
@STRING{ WI = "Wiley-Interscience" }
@STRING{ PH = "Prentice-Hall" }
@STRING{ AW = "Addison-Wesley" }
@STRING{ PUP = "Princeton University Press" }
@STRING{ AP = "Academic Press" }
@STRING{ CUP = "Cambridge University Press" }
@STRING{ OUP = "Oxford University Press" }
@STRING{ ESP = "Elsevier Science Publisher B.V." }
@STRING{ KAP = "Kluwer Adademic Publishers" }
@STRING{ NY = "New York" }
@STRING{ B = "Berlin" }
@STRING{ NJ = "New Jersey" }
@STRING{ NH = "North-Holland" }
@STRING{ EIEUR = "Econometric Institute, Erasmus University Rotterdam" }
@STRING{ ROT = "Rotterdam, The Netherlands" }
@STRING{ S = "STURM, J.F."}
@STRING{ SZ = "STURM, J.F. and Zhang, S."}
@STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and ZHANG, S."}
@STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
#############################################
# The following is from V. Balakrishnan on SDP and systems control
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
#############################################
@string{
ijrnc=
{Int.\ J.\ Robust and Nonlinear Control}
}
@string{
acc=
{Proc.\ American Control Conf.}
}
@string{
aut=
{Automatica}
}
@string{
tcst=
{IEEE Trans.\ Control Sys.\ Tech.}
}
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{
ieep=
{IEE Proc.}
}
#############################################
#############################################
##from Bertsimis
#############################################
@string{ICTA = {IEE Proc. -Control Theory Appl.}}
@String{IROS="IEEE Int. Conf. on Intelligent Robot Systems"}
@String{ICRA="Proc. IEEE Int. Conf. on Robotics and Automation"}
@String{IJRR = {Int. J. of Robot. Res.}}
@String{ITSMC ={IEEE Trans. Syst., Man, Cybern.}}
@String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals -
#### changed in master.bib first
@string{toms = "ACM Transactions on Mathematical Software"}
@STRING{aer = "American Economic Review"}
@STRING{ajae = "Americal Journal of Agricultural Economics"}
@STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."}
@STRING{AMERlong = "The American Statistician"}
@STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"}
@string{adm = "Ann. Discrete Math."}
@string{ADMlong = "Annals of Discrete Mathematics"}
@STRING{ams = "Annals of Mathematical Statistics"}
@STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."}
@STRING{ APNUMlong = "Applied Numerical Mathematics"}
@string{bell = "The Bell System Technical Journal"}
@string{ coap = "Comput. Optim. Appl."}
@string{ coa = "Comput. Optim. Appl."}
@string{ COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"}
@string{cacm = "Communications of the ACM"}
@STRING{ cor = "Comput. Oper. Res." }
@STRING{ CORlong = "Computer and Operations Research" }
@string{comp = "Computing"}
STRING{ CRAS = "Compt Rend Acad. Sci." }
@STRING{ CM = "Contemporary Mathematics" }
@STRING{ C = "Cybernetics" }
@STRING{cmj = "Czechoslovak Math. J."}
@STRING{dam = "Discrete Applied Mathematics"}
@STRING{dm = "Discrete Mathematics"}
@STRING{ ECPE = "Eng. Costs and Prod. Econ." }
@string{electjc = "Electronic J. Combinatorics"}
@string{ela = "Electronic J. Linear Algebra"}
@string{elalong = "The Electronic JOURNAL of Linear Algebra"}
@STRING{ejc = "European Journal of Combinatorics"}
@STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@STRING{ glasgow = "Glasgow Math. J."}
@STRING{ glasgowlong = "Glasgow Mathematical Journal"}
@string{jogo = "J. Global Optim."}
@string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"}
@STRING{ IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"}
@string{ijnme = "International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"}
@STRING{ JAMS = "J. Australian Math. Soc."}
@STRING{ JAMSlong = "J. of the Australian Mathematical Society"}
@string{ JCAM = {J. of Comput. Appl. Mathem.}}
@string{ JCAMlong = {J. of Computational and Applied Mathematics}}
@STRING{jacm = "J. Assoc. Comput. Mach."}
@STRING{JACMlong = "Journal of the Association of Computing Machinery"}
@string{jco = "J. Comb. Optim."}
@string{JCOlong = "Journal of Combinatorial Optimization"}
@STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"}
@STRING{joflong= "Journal of Finance"}
@STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and Applications"}
@STRING{ JORS = "J. Oper. Res. Soc." }
@STRING{ JRAM = "J. f{\"u}r die reine und angewandte {M}athematik"}
@STRING{ JRC = "J. of Regional Science" }
@string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and Applications"}
@STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of Standards"}
@STRING{jrssa = "Journal of the Royal Statistical Society: Series~A"}
@string{laa = "Linear Algebra Appl."}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"}
@STRING{ms = "Management Sci."}
@STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" }
@string{mcomp = "Math. Comp."}
@string{MCOMPlong = "Mathematics of Computation"}
@STRING{ MP = "Math. Programming" }
@string{mprog = "Math. Programming"}
@STRING{MPROGlong = "Mathematical Programming"}
@STRING{mp = "Math. Programming"}
@string{MPlong = {Mathematical Programming}}
@STRING{mpa = "Math. Programming, Series A"}
@STRING{mps = "Math. Programming Studies"}
@STRING{mpb = "Math. Programming, Series B"}
@STRING{ MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."}
@STRING{ MORlong = "Mathematics of Operations Research" }
@STRING{mathz = "Math. Z."}
@STRING{ nrlq = "Naval Res. Logist. Quart." }
@STRING{ NRLQlong = "Naval Research Logistics Quarterly" }
@STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"}
@STRING{ OPTI = "Optimization" }
@string{ oms = "Optim. Methods Softw."}
@string{ OPSlong = "Optimization Methods and Software"}
@string{ornl = "Oak Ridge National Laboratory"}
@STRING{orl = "Operations Research Letters"}
@STRING{or = "Operations Research"}
@STRING{jorlong = "Journal of the Operations Research Society"}
@STRING{jor = "Oper. Res."}
@STRING{jors = "Oper. Res."}
@STRING{ ORQ = "Operations Research Quarterly" }
@STRING{pjm = "Pacific Journal of Mathematics"}
@string{pc = "Parallel Computing"}
@STRING{pams = "Proceedings of the American Mathematical Society"}
@STRING{rsue = "Regional Science and Urban Economics"}
@STRING{restud = "Review of Economics Studies"}
@STRING{ SIAM = "SIAM" }
@string{sijam = "SIAM J. Appl. Math."}
@string{SIJAMlong = "SIAM J. ON Applied Mathematics"}
@STRING{siad = "SIAM J. Algebraic Discrete Methods"}
@STRING{SIADlong = "SIAM Journal on Algebraic and Discrete Methods"}
@string{sdma = "SIAM J. Discrete Math."}
@string{SDMAlong = "SIAM Journal on Discrete Mathematics"}
@string{SIAGOPT = "SIAG/OPT Views-and-News"}
@STRING{ SRev = "SIAM Review" }
@STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." }
@STRING{ SJMA = "SIAM J. Math. Anal." }
@string{SJMAA = "SIAM J. Matrix Anal. Appl."}
@STRING{sijc = "SIAM J. on Computing"}
@STRING{SIJClong = "SIAM Journal on Computing"}
@string{sico = "SIAM J. Control Optim."}
@string{SICOlong = "SIAM J. on Control and Optimization"}
@string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and Applications"}
@string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."}
@STRING{SJNAlong = "SIAM J. on Numerical Analysis"}
@string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical Computing"}
@string{sir = "SIAM Review"}
### start strings from Goemans
@string{stoc95 = "Proc. of the 27th {ACM} Symp. on
Theory Comput."}
@string{stoc97 = "Proc. of the 29th {ACM} Symp. on
Theory Comput."}
@string{stoc98 = "Proc. of the 30th {ACM} Symp. on
Theory Comput."}
@string{stoc99 = "Proc. of the 31st {ACM} Symp. on
Theory Comput."}
@string{focs97 = "Proc. 38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on
Disc. Algs."}
### end strings from Goemans
@STRING{tr = "Transportation Research"}
@STRING{ts = "Transportation Science"}
@STRING{tams = "Transactions of the American Mathematical Society"}
@STRING{ TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."}
@STRING{UTILMATHlong = "Utilitas Mathematica"}
########################end of string definitions#########
#######################################
@techreport{rebjac:99,
author = "R. REBONATO and P. JACKEL",
title = "The most general methodolog to create a valid correlation
matrix for risk management and option pricing purposes",
address = {Quantitative Research Centre of the NatWest Group}
}
@techreport{rankenburgelser:07,
AUTHOR = "I.C. RANKENBURG, V. ELSER",
TITLE = "Protein structure prediction by an iterative search method",
TYPE = "Report",
INSTITUTION = "Cornell University",
YEAR = "2007",
}
.deklerk.bib 0000600 0010230 0000457 00000052146 12346654603 012624 0 ustar hwolkowi none # This file contains papers from Etienne De Klerk - as of Jan/03
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@article {MR2002g:90070,
AUTHOR = {de Klerk, E. and Peng, J. and Roos, C. and Terlaky, T.},
TITLE = {A scaled {G}auss-{N}ewton primal-dual search direction for
semidefinite optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {11},
YEAR = {2001},
NUMBER = {4},
PAGES = {870--888 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C22 (65K05 90C53)},
MRNUMBER = {2002g:90070},
MRREVIEWER = {Franz Rendl},
}
@article {MR2001k:90047,
AUTHOR = {Bomze, Immanuel M. and D{\"u}r, Mirjam and de Klerk, Etienne
and Roos, Cornelis and Quist, Arie J. and Terlaky, Tam{\'a}s},
TITLE = {On copositive programming and standard quadratic optimization
problems},
NOTE = {GO'99 Firenze},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {18},
YEAR = {2000},
NUMBER = {4},
PAGES = {301--320},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C25 (90C22)},
MRNUMBER = {2001k:90047},
MRREVIEWER = {Carla Durazzi},
}
@article {MR2001a:90036,
AUTHOR = {de Klerk, Etienne and Van Maaren, Hans and Warners, Joost P.},
TITLE = {Relaxations of the satisfiability problem using semidefinite
programming},
JOURNAL = {J. Automat. Reason.},
FJOURNAL = {Journal of Automated Reasoning},
VOLUME = {24},
YEAR = {2000},
NUMBER = {1-2},
PAGES = {37--65},
ISSN = {0168-7433},
CODEN = {JAREEW},
MRCLASS = {90C22 (68Q25)},
MRNUMBER = {2001a:90036},
MRREVIEWER = {Franz Rendl},
}
@inproceedings {MR2000b:90050,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Primal-dual potential reduction methods for semidefinite
programming using affine-scaling directions},
BOOKTITLE = {Proceedings of the Stieltjes Workshop on High Performance
Optimization Techniques (HPOPT '96) (Delft)},
JOURNAL = {Appl. Numer. Math.},
FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal},
VOLUME = {29},
YEAR = {1999},
NUMBER = {3},
PAGES = {335--360},
ISSN = {0168-9274},
CODEN = {ANMAEL},
MRCLASS = {90C22 (90C60)},
MRNUMBER = {2000b:90050},
MRREVIEWER = {Jos F. Sturm},
}
@incollection {MR2000b:90049,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {On primal-dual path-following algorithms for semidefinite
programming},
BOOKTITLE = {New trends in mathematical programming},
SERIES = {Appl. Optim.},
VOLUME = {13},
PAGES = {137--157},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1998},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2000b:90049},
MRREVIEWER = {Michael L. Dowling},
}
@article {MR99e:90071,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Polynomial primal-dual affine scaling algorithms in
semidefinite programming},
NOTE = {Semidefinite programming and interior-point approaches for
combinatorial optimization problems (Toronto, ON, 1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {51--69},
ISSN = {1382-6905},
MRCLASS = {90C26 (90C30)},
MRNUMBER = {99e:90071},
MRREVIEWER = {Michael L. Dowling},
}
@incollection {MR99b:90091,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Infeasible-start semidefinite programming algorithms via
self-dual embeddings},
BOOKTITLE = {Topics in semidefinite and interior-point methods (Toronto,
ON, 1996)},
SERIES = {Fields Inst. Commun.},
VOLUME = {18},
PAGES = {215--236},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1998},
MRCLASS = {90C25 (90C05)},
MRNUMBER = {99b:90091},
MRREVIEWER = {Jos F. Sturm},
}
@article {MR99a:90145,
AUTHOR = {Quist, A. J. and De Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Copositive relaxation for general quadratic programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {9},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {185--208},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C20},
MRNUMBER = {99a:90145},
}
@article {MR98f:90037,
AUTHOR = {He, B. and De Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Method of approximate centers for semi-definite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3-4},
PAGES = {291--309},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C08 (90C30)},
MRNUMBER = {98f:90037},
}
@article {MR98d:90112,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Initialization in semidefinite programming via a self-dual
skew-symmetric embedding},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {20},
YEAR = {1997},
NUMBER = {5},
PAGES = {213--221},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C30},
MRNUMBER = {98d:90112},
}
@article {MR95e:90096,
AUTHOR = {de Klerk, E. and Snyman, J. A.},
TITLE = {A feasible descent cone method for linearly constrained
minimization problems},
JOURNAL = {Comput. Math. Appl.},
FJOURNAL = {Computers \& Mathematics with Applications. An International
Journal},
VOLUME = {28},
YEAR = {1994},
NUMBER = {6},
PAGES = {33--44},
ISSN = {0898-1221},
CODEN = {CMAPDK},
MRCLASS = {90C30 (90C05)},
MRNUMBER = {95e:90096},
}
@incollection {MR1900076,
AUTHOR = {de Klerk, E. and Warners, J. P.},
TITLE = {Semidefinite programming approaches for {MAX}-2-{SAT} and
{MAX}-3-{SAT}: computational perspectives},
BOOKTITLE = {Combinatorial and global optimization (Chania, 1998)},
SERIES = {Ser. Appl. Math.},
VOLUME = {14},
PAGES = {161--176},
PUBLISHER = {World Sci. Publishing},
ADDRESS = {River Edge, NJ},
YEAR = {2002},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {1 900 076},
}
#################################new entries follow
@incollection {MR2123520,
AUTHOR = {de Klerk, Etienne and Laurent, Monique and Parrilo,
Pablo},
TITLE = {On the equivalence of algebraic approaches to the
minimization
of forms on the simplex},
BOOKTITLE = {Positive polynomials in control},
SERIES = {Lecture Notes in Control and Inform. Sci.},
VOLUME = {312},
PAGES = {121--132},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2005},
MRCLASS = {90C22 (93B25)},
MRNUMBER = {MR2123520 (2005j:90059)},
}
@article {MR2113467,
AUTHOR = {Halick{\'a}, M. and De Klerk, E. and Roos, C.},
TITLE = {Limiting behavior of the central path in semidefinite
optimization},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {20},
YEAR = {2005},
NUMBER = {1},
PAGES = {99--113},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR2113467 (2005m:90078)},
}
@article {MR2092261,
AUTHOR = {de Klerk, E. and Pasechnik, D. V. and Warners, J. P.},
TITLE = {On approximate graph colouring and {MAX}-{$k$}-{CUT}
algorithms based on the {$\vartheta$}-function},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {8},
YEAR = {2004},
NUMBER = {3},
PAGES = {267--294},
ISSN = {1382-6905},
MRCLASS = {68W25 (05C15 05C85 90C09 90C22 90C27)},
MRNUMBER = {MR2092261 (2005h:68184)},
MRREVIEWER = {Mark R. Jerrum},
}
@article {MR2064275,
AUTHOR = {de Klerk, Etienne and Pasechnik, Dmitrii V.},
TITLE = {Products of positive forms, linear matrix inequalities,
and
{H}ilbert 17th problem for ternary forms},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {157},
YEAR = {2004},
NUMBER = {1},
PAGES = {39--45},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C26)},
MRNUMBER = {MR2064275 (2005f:90081)},
MRREVIEWER = {Kenneth O. Kortanek},
}
@article {MR1969131,
AUTHOR = {de Klerk, E. and van Maaren, H.},
TITLE = {On semidefinite programming relaxations of
{$(2+p)$}-{SAT}},
NOTE = {Results on satisfiability in propositional logic},
JOURNAL = {Ann. Math. Artif. Intell.},
FJOURNAL = {Annals of Mathematics and Artificial Intelligence},
VOLUME = {37},
YEAR = {2003},
NUMBER = {3},
PAGES = {285--305},
ISSN = {1012-2443},
MRCLASS = {90C22 (68W25 90C70)},
MRNUMBER = {MR1969131},
}
@book {MR2064921,
AUTHOR = {de Klerk, Etienne},
TITLE = {Aspects of semidefinite programming},
SERIES = {Applied Optimization},
VOLUME = {65},
NOTE = {Interior point algorithms and selected applications},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {2002},
PAGES = {xvi+283},
ISBN = {1-4020-0547-4},
MRCLASS = {90-02 (90C22 90C51)},
MRNUMBER = {MR2064921 (2005a:90001)},
}
@article {MR2028030,
AUTHOR = {den Hertog, Dick and de Klerk, Etienne and Roos, Kees},
TITLE = {On convex quadratic approximation},
JOURNAL = {Statist. Neerlandica},
FJOURNAL = {Statistica Neerlandica. Journal of the Netherlands
Society for
Statistics and Operations Research},
VOLUME = {56},
YEAR = {2002},
NUMBER = {3},
PAGES = {376--385},
ISSN = {0039-0402},
MRCLASS = {90B22 (41A29 62J05)},
MRNUMBER = {MR2028030 (2004j:90028)},
MRREVIEWER = {Hou Duo Qi},
}
@article {MR1934026,
AUTHOR = {Bomze, Immanuel M. and De Klerk, Etienne},
TITLE = {Solving standard quadratic optimization problems via
linear,
semidefinite and copositive programming},
NOTE = {Dedicated to Professor Naum Z. Shor on his 65th
birthday},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {24},
YEAR = {2002},
NUMBER = {2},
PAGES = {163--185},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C20 (90C08 90C22)},
MRNUMBER = {MR1934026 (2003i:90048)},
MRREVIEWER = {Oliver Stein},
}
@article {MR1922510,
AUTHOR = {Halick{\'a}, M. and de Klerk, E. and Roos, C.},
TITLE = {On the convergence of the central path in semidefinite
optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {4},
PAGES = {1090--1099 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1922510 (2003h:90045)},
MRREVIEWER = {Jos F. Sturm},
}
@article {MR1922500,
AUTHOR = {de Klerk, E. and Pasechnik, D. V.},
TITLE = {Approximation of the stability number of a graph via
copositive programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {4},
PAGES = {875--892 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (05C85 68R10 68W25 90C25)},
MRNUMBER = {MR1922500 (2003g:90053)},
MRREVIEWER = {Koduvayur R. Parthasarathy},
}
@article {MR1855212,
AUTHOR = {de Klerk, E. and Peng, J. and Roos, C. and Terlaky, T.},
TITLE = {A scaled {G}auss-{N}ewton primal-dual search direction
for
semidefinite optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {11},
YEAR = {2001},
NUMBER = {4},
PAGES = {870--888 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (65K05 90C53)},
MRNUMBER = {MR1855212 (2002g:90070)},
MRREVIEWER = {Franz Rendl},
}
@incollection {MR1778227a,
AUTHOR = {de Klerk, Etienne and Terlaky, Tam{\'a}s and Roos,
Kees},
TITLE = {Self-dual embeddings},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {111--138},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22},
MRNUMBER = {MR1778227},
}
@article {MR1750258,
AUTHOR = {de Klerk, Etienne and Van Maaren, Hans and Warners,
Joost P.},
TITLE = {Relaxations of the satisfiability problem using
semidefinite
programming},
JOURNAL = {J. Automat. Reason.},
FJOURNAL = {Journal of Automated Reasoning},
VOLUME = {24},
YEAR = {2000},
NUMBER = {1-2},
PAGES = {37--65},
ISSN = {0168-7433},
CODEN = {JAREEW},
MRCLASS = {90C22 (68Q25)},
MRNUMBER = {MR1750258 (2001a:90036)},
MRREVIEWER = {Franz Rendl},
}
@inproceedings {MR1677216,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Primal-dual potential reduction methods for semidefinite
programming using affine-scaling directions},
BOOKTITLE = {Proceedings of the Stieltjes Workshop on High
Performance
Optimization Techniques (HPOPT '96) (Delft)},
JOURNAL = {Appl. Numer. Math.},
FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal},
VOLUME = {29},
YEAR = {1999},
NUMBER = {3},
PAGES = {335--360},
ISSN = {0168-9274},
CODEN = {ANMAEL},
MRCLASS = {90C22 (90C60)},
MRNUMBER = {MR1677216 (2000b:90050)},
MRREVIEWER = {Jos F. Sturm},
}
@incollection {MR1641315,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {On primal-dual path-following algorithms for
semidefinite
programming},
BOOKTITLE = {New trends in mathematical programming},
SERIES = {Appl. Optim.},
VOLUME = {13},
PAGES = {137--157},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1998},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1641315 (2000b:90049)},
MRREVIEWER = {Michael L. Dowling},
}
@article {MR1638386,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {A nonconvex weighted potential function for polynomial
target
following methods},
NOTE = {Applied mathematical programming and modeling, III
(APMOD95)
(Uxbridge)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {81},
YEAR = {1998},
PAGES = {3--14},
ISSN = {0254-5330},
MRCLASS = {90C05},
MRNUMBER = {MR1638386},
}
@article {MR1618092,
AUTHOR = {Quist, A. J. and De Klerk, E. and Roos, C. and Terlaky,
T.},
TITLE = {Copositive relaxation for general quadratic
programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {9},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {185--208},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C20},
MRNUMBER = {MR1618092 (99a:90145)},
}
@article {MR1616870,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Polynomial primal-dual affine scaling algorithms in
semidefinite programming},
NOTE = {Semidefinite programming and interior-point approaches
for
combinatorial optimization problems (Toronto, ON,
1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {51--69},
ISSN = {1382-6905},
MRCLASS = {90C26 (90C30)},
MRNUMBER = {MR1616870 (99e:90071)},
MRREVIEWER = {Michael L. Dowling},
}
@incollection {MR1607349,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Infeasible-start semidefinite programming algorithms via
self-dual embeddings},
BOOKTITLE = {Topics in semidefinite and interior-point methods
(Toronto,
ON, 1996)},
SERIES = {Fields Inst. Commun.},
VOLUME = {18},
PAGES = {215--236},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1998},
MRCLASS = {90C25 (90C05)},
MRNUMBER = {MR1607349 (99b:90091)},
MRREVIEWER = {Jos F. Sturm},
}
@article {MR1468949,
AUTHOR = {He, B. and De Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Method of approximate centers for semi-definite
programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3-4},
PAGES = {291--309},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C08 (90C30)},
MRNUMBER = {MR1468949 (98f:90037)},
}
@incollection {MR1465717,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {A short survey on semidefinite programming},
BOOKTITLE = {Ten years LNMB},
SERIES = {CWI Tract},
VOLUME = {122},
PAGES = {323--339},
PUBLISHER = {Math. Centrum Centrum Wisk. Inform.},
ADDRESS = {Amsterdam},
YEAR = {1997},
MRCLASS = {90C30 (90C08)},
MRNUMBER = {MR1465717},
}
@article {MR1455072,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Initialization in semidefinite programming via a
self-dual
skew-symmetric embedding},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {20},
YEAR = {1997},
NUMBER = {5},
PAGES = {213--221},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C30},
MRNUMBER = {MR1455072 (98d:90112)},
}
@article {MR1434351,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T. and Ill{\'e}s,
T. and de Jong, A. J. and Valk{\'o}, J. and Hoogenboom, J. E.},
TITLE = {Optimization of nuclear reactor reloading patterns},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {69},
YEAR = {1997},
PAGES = {65--84},
ISSN = {0254-5330},
MRCLASS = {90C90 (90C30)},
MRNUMBER = {MR1434351},
}
@article {MR1290837,
AUTHOR = {de Klerk, E. and Snyman, J. A.},
TITLE = {A feasible descent cone method for linearly constrained
minimization problems},
JOURNAL = {Comput. Math. Appl.},
FJOURNAL = {Computers \& Mathematics with Applications. An
International
Journal},
VOLUME = {28},
YEAR = {1994},
NUMBER = {6},
PAGES = {33--44},
ISSN = {0898-1221},
CODEN = {CMAPDK},
MRCLASS = {90C30 (90C05)},
MRNUMBER = {MR1290837 (95e:90096)},
}
.edm.bib 0000600 0010230 0000457 00000732417 12510251720 011740 0 ustar hwolkowi none # This file contains papers related to Euclidean Distance Matrices,
# distance geometry, molecular conformation, multidimensional scaling
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/edm.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
####added by Dima FEb/2014
@article{Nathan_Henry,
Author = {Krislock, N. and Wolkowicz, H.},
Date-Added = {2014-02-01 12:01:56 -0500},
Date-Modified = {2014-02-01 12:02:24 -0500},
Doi = {10.1137/090759392},
Fjournal = {SIAM Journal on Optimization},
Issn = {1052-6234},
Journal = {SIAM J. Optim.},
Mrclass = {90C35 (90B10 90C22)},
Mrnumber = {2678410 (2011g:90208)},
Mrreviewer = {Michael Patriksson},
Number = {5},
Pages = {2679--2708},
Title = {Explicit sensor network localization using semidefinite
representations and facial reductions},
Url = {http://dx.doi.org/10.1137/090759392},
Volume = {20},
Year = {2010},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=2678410}}
####added by Dima JUL10/14
@article{BB93,
Author = {Bauschke, H.H. and Borwein, J.M.},
Coden = {SVANEG},
Doi = {10.1007/BF01027691},
Fjournal = {Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications},
Issn = {0927-6947},
Journal = {Set-Valued Anal.},
Mrclass = {65J05 (41A65 47H17 65K10)},
Mrnumber = {1239403 (95d:65048)},
Mrreviewer = {F. Deutsch},
Number = {2},
Pages = {185--212},
Title = {On the convergence of von {N}eumann's alternating projection algorithm for two sets},
Url = {http://dx.doi.org/10.1007/BF01027691},
Volume = {1},
Year = {1993},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01027691}}
@article{siam_rev,
author = {Bauschke, H.H. and Borwein, J.M.},
title = {On Projection Algorithms for Solving Convex Feasibility Problems},
journal = {SIAM Rev.},
issue_date = {Sept. 1996},
volume = {38},
number = {3},
month = sep,
year = {1996},
issn = {0036-1445},
pages = {367--426},
numpages = {60},
url = {http://dx.doi.org/10.1137/S0036144593251710},
doi = {10.1137/S0036144593251710},
acmid = {240442},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
keywords = {Cimmino's method, Fej{\'{e}}r monotone sequence, Hilbert space, Kaczmarz's method, Slater point, angle between two subspaces, averaged mapping, computerized tomography, convex feasibility problem, convex function, convex inequalities, convex programming, convex set, firmly nonexpansive mapping, image recovery, iterative method, linear convergence, linear feasibility problem, linear inequalities, nonexpansive mapping, orthogonal projection, projection algorithm, projection method, subdifferential, subgradient, subgradient algorithm, successive projections},
}
@article{conv_alt,
Author = {L.M. Bregman},
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Volume = {6},
Year = {1965}}
@article{alt_genproj,
Author = {Lewis, A.S. and Luke, D.R. and Malick, J.},
Doi = {10.1007/s10208-008-9036-y},
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Issn = {1615-3375},
Journal = {Found. Comput. Math.},
Mrclass = {49J53 (49M20 65K10 90C30)},
Mrnumber = {2519868 (2010d:49022)},
Mrreviewer = {Shawn Xianfu Wang},
Number = {4},
Pages = {485--513},
Title = {Local linear convergence for alternating and averaged nonconvex projections},
Url = {http://dx.doi.org/10.1007/s10208-008-9036-y},
Volume = {9},
Year = {2009},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10208-008-9036-y}}
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Journal = {Math. Oper. Res.},
Mrclass = {90C30 (49J53 65K10)},
Mrnumber = {2393548 (2009k:90110)},
Number = {1},
Pages = {216--234},
Title = {Alternating projections on manifolds},
Url = {http://dx.doi.org/10.1287/moor.1070.0291},
Volume = {33},
Year = {2008},
Bdsk-Url-1 = {http://dx.doi.org/10.1287/moor.1070.0291}}
@article{btheory,
Author = {Bauschke, H.H. and Luke, D.R. and Phan, H.M. and Wang, X.},
Doi = {10.1007/s11228-013-0239-2},
Issn = {1877-0533},
Journal = {Set-Valued and Variational Anal.},
Keywords = {Constraint qualification; Convex set; Friedrichs angle; Normal cone; Nonconvex set; Projection operator; Restricted normal cone; Superregularity; Primary 49J52; Secondary 47H09; 90C26},
Language = {English},
Pages = {1-43},
Publisher = {Springer Netherlands},
Title = {Restricted Normal Cones and the Method of Alternating Projections: Theory},
Url = {http://dx.doi.org/10.1007/s11228-013-0239-2},
Year = {2013},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s11228-013-0239-2}}
@article{altus,
Archiveprefix = {arXiv},
Author = {D. Drusvyatskiy and A.D. Ioffe and A.S. Lewis},
Eprint = {arXiv:1401.7569},
Institution = {arXiv [http://arXiv.org/oai2] (United States)},
Title = {Alternating projections and coupling slope},
Year = {2014}}
@article{Lions,
author = {Lions, P. and Mercier, B.},
title = {Splitting Algorithms for the Sum of Two Nonlinear Operators},
journal = {SIAM Journal on Numerical Analysis},
volume = {16},
number = {6},
pages = {964-979},
year = {1979},
doi = {10.1137/0716071},
URL = {
http://dx.doi.org/10.1137/0716071
},
eprint = {
http://dx.doi.org/10.1137/0716071
}
}
@article{fran,
year={2013},
issn={0022-3239},
journal={Journal of Optimization Theory and Applications},
doi={10.1007/s10957-013-0488-0},
title={Recent Results on {D}ouglas-{R}achford Methods for Combinatorial Optimization Problems},
url={http://dx.doi.org/10.1007/s10957-013-0488-0},
publisher={Springer US},
keywords={Douglas Rachford; Projections; Reflections; Combinatorial optimization; Modelling; Feasibility; Satisfiability; Sudoku; Nonograms},
author={Arag\'on Artacho, F.J. and Borwein, J.M. and Tam, M.K.},
pages={1-30},
language={English}
}
@article{thi,
author = {Elser, V. and Rankenburg, I. and Thibault, P.},
title = {Searching with iterated maps},
volume = {104},
number = {2},
pages = {418-423},
year = {2007},
doi = {10.1073/pnas.0606359104},
abstract ={In many problems that require extensive searching, the solution can be described as satisfying two competing constraints, where satisfying each independently does not pose a challenge. As an alternative to tree-based and stochastic searching, for these problems we propose using an iterated map built from the projections to the two constraint sets. Algorithms of this kind have been the method of choice in a large variety of signal-processing applications; we show here that the scope of these algorithms is surprisingly broad, with applications as diverse as protein folding and Sudoku.},
URL = {http://www.pnas.org/content/104/2/418.abstract},
eprint = {http://www.pnas.org/content/104/2/418.full.pdf+html},
journal = {Proceedings of the National Academy of Sciences}
}
@article {phase,
AUTHOR = {Bauschke, H.H. and Combettes, P.L. and Luke, D.R.},
TITLE = {Phase retrieval, error reduction algorithm, and {F}ienup
variants: a view from convex optimization},
JOURNAL = {J. Opt. Soc. Amer. A},
FJOURNAL = {Journal of the Optical Society of America A. Optics, Image
Science, and Vision},
VOLUME = {19},
YEAR = {2002},
NUMBER = {7},
PAGES = {1334--1345},
ISSN = {1084-7529},
CODEN = {JOAOD6},
MRCLASS = {94A12},
MRNUMBER = {1914365 (2003f:94012)},
MRREVIEWER = {Michael M. Dediu},
DOI = {10.1364/JOSAA.19.001334},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1364/JOSAA.19.001334},
}
#######################################
#######################################
%AAAAAAAAAAAA
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volume = "to appear",
pages = " ",
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INSTITUTION = "Dept. of Math. and Stats., University of Windsor",
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VOLUME = {15},
YEAR = {1999},
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MRCLASS = {90-06 (49-06)},
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year = 2008,
title = "Global optimization of highly multimodal problems",
school = "Universita di Firenze,
Dipartimento di sistemi e informatica,
Via di S.Marta 3, 50139 Firenze, Italy"
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@phdthesis{danielkim:06,
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MRCLASS = {42C15 (39B32 47B38)},
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@proceedings {MR2000c:00041,
TITLE = {Trends in mathematical physics},
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YEAR = {1999},
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ISBN = {0-8218-2006-0},
MRCLASS = {00B25},
MRNUMBER = {2000c:00041},
}
@incollection {MR2000a:62144,
AUTHOR = {Rivas Moya, Teresa},
TITLE = {Obtaining disparities as slopes of greatest minorant convex},
BOOKTITLE = {Advances in data science and classification (Rome, 1998)},
PAGES = {509--516},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1998},
MRCLASS = {62H99 (62F30)},
MRNUMBER = {2000a:62144},
}
@article {MR99m:62082,
AUTHOR = {DeSarbo, Wayne S. and Kim, Youngchan and Fong, Duncan},
TITLE = {A {B}ayesian multidimensional scaling procedure for the
spatial analysis of revealed choice data},
JOURNAL = {J. Econometrics},
FJOURNAL = {Journal of Econometrics},
VOLUME = {89},
YEAR = {1999},
NUMBER = {1-2},
PAGES = {79--108},
ISSN = {0304-4076},
CODEN = {JECMB6},
MRCLASS = {62H11 (62F15)},
MRNUMBER = {99m:62082},
}
@book {MR99m:32026,
AUTHOR = {Kobayashi, Shoshichi},
TITLE = {Hyperbolic complex spaces},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1998},
PAGES = {xiv+471},
ISBN = {3-540-63534-3},
MRCLASS = {32H20 (32H15 32H25 32H30)},
MRNUMBER = {99m:32026},
MRREVIEWER = {William A. Cherry},
}
@article {MR99j:92029,
AUTHOR = {NAJFELD, I. and HAVEL, T.F.},
TITLE = {Embedding with a rigid substructure},
JOURNAL = {J. Math. Chem.},
FJOURNAL = {Journal of Mathematical Chemistry},
VOLUME = {21},
YEAR = {1997},
NUMBER = {3},
PAGES = {223--260},
ISSN = {0259-9791},
CODEN = {JMCHEG},
MRCLASS = {92E10 (81V45)},
MRNUMBER = {99j:92029},
MRREVIEWER = {T. W. Barrett},
}
@inproceedings {MR99j:05050,
AUTHOR = {Rajan, Kumar and Deo, Narsingh},
TITLE = {A parallel algorithm for generating disjoint $2$-$(v,4,1)$
packings},
BOOKTITLE = {Proceedings of the Twenty-ninth Southeastern International
Conference on Combinatorics, Graph Theory and Computing (Boca
Raton, FL, 1998)},
JOURNAL = {Congr. Numer.},
FJOURNAL = {Congressus Numerantium},
VOLUME = {131},
YEAR = {1998},
PAGES = {5--18},
ISSN = {0384-9864},
MRCLASS = {05B40 (68Q22)},
MRNUMBER = {99j:05050},
}
@article {MR99i:15029,
AUTHOR = {BARRETT, W.W. and Johnson, C.R. and Loewy, R.},
TITLE = {Critical graphs for the positive definite completion problem},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {20},
YEAR = {1999},
NUMBER = {1},
PAGES = {117--130 (electronic)},
ISSN = {1095-7162},
MRCLASS = {15A48 (05C50)},
MRNUMBER = {99i:15029},
MRREVIEWER = {Shu An Hu},
}
@article {MR99d:65144,
AUTHOR = {Rivera-Gallego, Wilson},
TITLE = {A genetic algorithm for circulant {E}uclidean distance
matrices},
JOURNAL = {Appl. Math. Comput.},
FJOURNAL = {Applied Mathematics and Computation},
VOLUME = {97},
YEAR = {1998},
NUMBER = {2-3},
PAGES = {197--208},
ISSN = {0096-3003},
CODEN = {AMHCBQ},
MRCLASS = {65F99},
MRNUMBER = {99d:65144},
}
@book {MR99c:90004,
TITLE = {New trends in mathematical programming},
EDITOR = {Giannessi, Franco and Koml{\'o}si, S{\'a}ndor and Rapcs{\'a}k,
Tam{\'a}s},
NOTE = {Homage to Steven Vajda},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Boston, MA},
YEAR = {1998},
PAGES = {xii+314},
ISBN = {0-7923-5036-7},
MRCLASS = {90-06 (00B30)},
MRNUMBER = {99c:90004},
}
@article {MR99c:51028,
AUTHOR = {Mackay, Alan L.},
TITLE = {On the regular heptagon},
JOURNAL = {J. Math. Chem.},
FJOURNAL = {Journal of Mathematical Chemistry},
VOLUME = {21},
YEAR = {1997},
NUMBER = {2},
PAGES = {197--209},
ISSN = {0259-9791},
CODEN = {JMCHEG},
MRCLASS = {51M99 (92E10)},
MRNUMBER = {99c:51028},
}
@incollection {MR99c:05135,
AUTHOR = {Laurent, M.},
TITLE = {A tour d'horizon on positive semidefinite and {E}uclidean
distance matrix completion problems},
BOOKTITLE = {Topics in semidefinite and interior-point methods (Toronto,
ON, 1996)},
PAGES = {51--76},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1998},
MRCLASS = {05C50 (15A48 15A57 52B12 90C27)},
MRNUMBER = {99c:05135},
MRREVIEWER = {Hugo Jan Woerdeman},
}
@book {MR99b:62002,
TITLE = {Data science, classification, and related methods},
EDITOR = {Hayashi, C. and Ohsumi, N. and Yajima, K. and Tanaka, Y. and
Bock, H.-H. and Baba, Y.},
NOTE = {Papers from the 5th Conference of the International Federation
of Classification Societies (IFCS '96) held in Kobe, March
27--30, 1996},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Tokyo},
YEAR = {1998},
PAGES = {xvi+780},
ISBN = {4-431-70208-3},
MRCLASS = {62-06 (62H30 68T10)},
MRNUMBER = {99b:62002},
}
@article {MR98m:90144,
AUTHOR = {Mor{\'e}, Jorge J. and Wu, Zhijun},
TITLE = {Global continuation for distance geometry problems},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3},
PAGES = {814--836},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65D32 92C40 92E10)},
MRNUMBER = {98m:90144},
MRREVIEWER = {Panos M. Pardalos},
}
@article {MR98m:90109,
AUTHOR = {Tao, Pham Dinh and An, Le Thi Hoai},
TITLE = {Convex analysis approach to d.c. programming: theory,
algorithms and applications},
JOURNAL = {Acta Math. Vietnam.},
FJOURNAL = {Acta Mathematica Vietnamica},
VOLUME = {22},
YEAR = {1997},
NUMBER = {1},
PAGES = {289--355},
ISSN = {0251-4184},
MRCLASS = {90C26 (90C08 90C90)},
MRNUMBER = {98m:90109},
MRREVIEWER = {Marlies Borchardt},
}
@article {MR2012812,
AUTHOR = {An, Le Thi Hoai},
TITLE = {Solving large scale molecular distance geometry problems
by a
smoothing technique via the {G}aussian transform and
{D}.{C}.\
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {27},
YEAR = {2003},
NUMBER = {4},
PAGES = {375--397},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C26 (90C59)},
}
@article {MR2004g:90107,
AUTHOR = {Le Thi Hoai An and Pham Dinh Tao},
TITLE = {Large-scale molecular optimization from distance matrices
by a
d.c.\ optimization approach},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {14},
YEAR = {2003},
NUMBER = {1},
PAGES = {77--114 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C30 (65K05 90C35)},
MRNUMBER = {2004g:90107},
MRREVIEWER = {V. F. Dem{\cprime}yanov},
}
@book {MR98m:62180,
AUTHOR = {Mathar, Rudolf},
TITLE = {Multidimensionale {S}kalierung},
NOTE = {Mathematische Grundlagen und algorithmische Aspekte.
[Mathematical foundations and algorithmic aspects]},
PUBLISHER = {B. G. Teubner},
ADDRESS = {Stuttgart},
YEAR = {1997},
PAGES = {95},
ISBN = {3-519-02738-0},
MRCLASS = {62H99 (92G15)},
MRNUMBER = {98m:62180},
MRREVIEWER = {Joachim Krauth},
}
@article {MR98m:15039,
AUTHOR = {Laurent, M.},
TITLE = {A connection between positive semidefinite and {E}uclidean
distance matrix completion problems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {273},
YEAR = {1998},
PAGES = {9--22},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {98m:15039},
MRREVIEWER = {Shu An Hu},
}
@article {MR98k:51030,
AUTHOR = {Richmond, Bettina and Richmond, Thomas},
TITLE = {Metric spaces in which all triangles are degenerate},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {104},
YEAR = {1997},
NUMBER = {8},
PAGES = {713--719},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {51K05 (54E35)},
MRNUMBER = {98k:51030},
MRREVIEWER = {Grattan P. Murphy},
}
@article {MR98j:90022,
AUTHOR = {Romero, David and S{\'a}nchez-Flores, Adolfo},
TITLE = {Omnipotence in stretchable two-dimensional scaling},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {33},
YEAR = {1997},
NUMBER = {1},
PAGES = {1--21},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {90A43},
MRNUMBER = {98j:90022},
}
@proceedings {MR98j:90005,
TITLE = {Topics in semidefinite and interior-point methods},
BOOKTITLE = {Proceedings of the workshop held in Toronto, ON, May 1996},
EDITOR = {Pardalos, Panos M. and Wolkowicz, Henry},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xx+250},
ISBN = {0-8218-0825-7},
MRCLASS = {90-06},
MRNUMBER = {98j:90005},
}
@article {MR98j:62051,
AUTHOR = {Naito, Kanta and Murata, Sinya and Fujikoshi, Yasunori},
TITLE = {Stability of multidimensional scaling with an error model},
JOURNAL = {J. Japan Statist. Soc.},
FJOURNAL = {Journal of the Japan Statistical Society (Nihon T\^okei Gakkai
Kaih\^o)},
VOLUME = {27},
YEAR = {1997},
NUMBER = {1},
PAGES = {77--91},
ISSN = {0389-5602},
MRCLASS = {62H99 (62H10)},
MRNUMBER = {98j:62051},
MRREVIEWER = {Rudolf Mathar},
}
@incollection {MR98j:62050,
AUTHOR = {Cuadras, C. M. and Fortiana, J.},
TITLE = {Weighted continuous metric scaling},
BOOKTITLE = {Multidimensional statistical analysis and theory of random
matrices (Bowling Green, OH, 1996)},
PAGES = {27--40},
PUBLISHER = {VSP},
ADDRESS = {Utrecht},
YEAR = {1996},
MRCLASS = {62H99 (60G99 62H25)},
MRNUMBER = {98j:62050},
MRREVIEWER = {Rudolf Mathar},
}
@proceedings {MR98h:62002,
TITLE = {Classification and knowledge organization},
BOOKTITLE = {Proceedings of the 20th Annual Conference of the Gesellschaft
f\"ur Klassifikation e.\ V.\ held at the University of
Freiburg, Freiburg, March 6--8, 1996},
EDITOR = {Klar, R{\"u}diger and Opitz, Otto},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1997},
PAGES = {xx+684},
ISBN = {3-540-62981-5},
MRCLASS = {62-06},
MRNUMBER = {98h:62002},
}
@article {MR98e:62149,
AUTHOR = {Heiser, Willem J. and Groenen, Patrick J. F.},
TITLE = {Cluster differences scaling with a within-clusters loss
component and a fuzzy successive approximation strategy to
avoid local minima},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal of Quantitative Psychology},
VOLUME = {62},
YEAR = {1997},
NUMBER = {1},
PAGES = {63--83},
ISSN = {0033-3123},
CODEN = {PSYKA2},
MRCLASS = {62P15 (62H30)},
MRNUMBER = {98e:62149},
MRREVIEWER = {C. Hayashi},
}
@book {MR98e:62092,
AUTHOR = {BORG, I. and GROENEN, P.},
TITLE = {Modern multidimensional scaling},
NOTE = {Theory and applications},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xviii+471},
ISBN = {0-387-94845-7},
MRCLASS = {62H99 (62H30 62P15)},
MRNUMBER = {98e:62092},
MRREVIEWER = {Rudolf Mathar},
}
@book {MR98d:62115,
TITLE = {Clustering and classification},
EDITOR = {Arabie, P. and Hubert, L. J. and De Soete, G.},
PUBLISHER = {World Scientific Publishing Co. Inc.},
ADDRESS = {River Edge, NJ},
YEAR = {1996},
PAGES = {x+490},
ISBN = {981-02-1287-9},
MRCLASS = {62H30 (62-06)},
MRNUMBER = {98d:62115},
}
@article {MR98d:62110,
AUTHOR = {de Leeuw, Jan and Groenen, Patrick J. F.},
TITLE = {Inverse multidimensional scaling},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {14},
YEAR = {1997},
NUMBER = {1},
PAGES = {3--21},
ISSN = {0176-4268},
MRCLASS = {62H30},
MRNUMBER = {98d:62110},
}
@article {MR98d:62104,
AUTHOR = {Carroll, J. Douglas and Kumbasar, Ece and Romney, A. Kimball},
TITLE = {An equivalence relation between correspondence analysis and
classical metric multidimensional scaling for the recovery of
{E}uclidean distances},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {50},
YEAR = {1997},
NUMBER = {1},
PAGES = {81--92},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {62H25},
MRNUMBER = {98d:62104},
}
@incollection {MR98c:05110,
AUTHOR = {Krafft, O. and Schaefer, M.},
TITLE = {Properties of some matrices associated with trees},
BOOKTITLE = {Research developments in probability and statistics},
PAGES = {383--389},
PUBLISHER = {VSP},
ADDRESS = {Utrecht},
YEAR = {1996},
MRCLASS = {05C50 (05C05)},
MRNUMBER = {98c:05110},
}
@book {MR98a:90009,
TITLE = {Recent advances in nonsmooth optimization},
EDITOR = {Du, Ding-Zhu and Qi, Liqun and Womersley, Robert S.},
PUBLISHER = {World Scientific Publishing Co. Inc.},
ADDRESS = {River Edge, NJ},
YEAR = {1995},
PAGES = {viii+472},
ISBN = {981-02-2265-3},
MRCLASS = {90-06 (49J52 65K05 90C30)},
MRNUMBER = {98a:90009},
}
@article {MR98a:62069,
AUTHOR = {Cuadras, C. M. and Atkinson, R. A. and Fortiana, J.},
TITLE = {Probability densities from distances and discrimination},
JOURNAL = {Statist. Probab. Lett.},
FJOURNAL = {Statistics \& Probability Letters},
VOLUME = {33},
YEAR = {1997},
NUMBER = {4},
PAGES = {405--411},
ISSN = {0167-7152},
CODEN = {SPLTDC},
MRCLASS = {62H05 (62H30)},
MRNUMBER = {98a:62069},
}
@article {MR98a:51014,
AUTHOR = {Lison{\v{e}}k, Petr},
TITLE = {New maximal two-distance sets},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series A},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2},
PAGES = {318--338},
ISSN = {0097-3165},
CODEN = {JCBTA7},
MRCLASS = {51K99 (05D05)},
MRNUMBER = {98a:51014},
MRREVIEWER = {J. J. Seidel},
}
@article {MR97m:26026,
AUTHOR = {Mattner, L.},
TITLE = {Strict definiteness of integrals via complete monotonicity of
derivatives},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {349},
YEAR = {1997},
NUMBER = {8},
PAGES = {3321--3342},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {26D15 (31C15 43A35 60E99)},
MRNUMBER = {97m:26026},
MRREVIEWER = {Hrvoje {\v{S}}iki{\'c}},
}
@article {MR97h:62052,
AUTHOR = {{\v{Z}}ilinskas, Antanas},
TITLE = {A quadratically converging algorithm of multidimensional
scaling},
JOURNAL = {Informatica (Vilnius)},
FJOURNAL = {Lithuanian Academy of Sciences. Informatica (Vilnius)},
VOLUME = {7},
YEAR = {1996},
NUMBER = {2},
PAGES = {268--274},
ISSN = {0868-4952},
MRCLASS = {62H25},
MRNUMBER = {97h:62052},
}
@article {MR97h:15032,
AUTHOR = {Hayden, T.L. and Lee, J. and Wells, J. and Tarazaga, P.},
TITLE = {Block matrices and multispherical structure of distance
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {247},
YEAR = {1996},
PAGES = {203--216},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57 (65F10)},
MRNUMBER = {97h:15032},
MRREVIEWER = {Gang Song Leng},
}
@article {MR97e:90093,
AUTHOR = {Wu, Zhijun},
TITLE = {The effective energy transformation scheme as a special
continuation approach to global optimization with application
to molecular conformation},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {3},
PAGES = {748--768},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (90C90 92C40)},
MRNUMBER = {97e:90093},
}
@proceedings {MR97c:62113,
TITLE = {Recent advances in descriptive multivariate analysis},
BOOKTITLE = {Proceedings of the symposium held at the University of Exeter,
Exeter, May 1992--December 1993},
EDITOR = {Krzanowski, Wojtek J.},
NOTE = {Oxford Science Publications},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1995},
PAGES = {xiv+362},
ISBN = {0-19-852285-1},
MRCLASS = {62Hxx (62-06)},
MRNUMBER = {97c:62113},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@book {MR97c:62006,
TITLE = {From data to knowledge},
EDITOR = {Gaul, Wolfgang and Pfeifer, Dietmar},
NOTE = {Theoretical and practical aspects of classification, data
analysis, and knowledge organization,
Papers from the Eighteenth Annual Conference of the German
Classification Society held at the University of Oldenburg,
Oldenburg, 1994},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1996},
PAGES = {x+472},
ISBN = {3-540-60354-9},
MRCLASS = {62-06},
MRNUMBER = {97c:62006},
}
@article {MR97c:05018,
AUTHOR = {Stolarsky, Kenneth B.},
TITLE = {$q$-analogue triangular numbers and distance geometry},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {125},
YEAR = {1997},
NUMBER = {1},
PAGES = {35--39},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {05A30 (05A19 11B65 51K05)},
MRNUMBER = {97c:05018},
MRREVIEWER = {David M. Bressoud},
}
@incollection {MR97b:90107,
author = "J.J. MOR\'{E} and Z. WU",
TITLE = {$\epsilon$-optimal solutions to distance geometry problems via
global continuation},
BOOKTITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding (New Brunswick, NJ, 1995)},
PAGES = {151--168},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {90C30 (65K05 68Q25 92C40 92C55)},
MRNUMBER = {97b:90107},
MRREVIEWER = {Thomas F. Coleman},
}
@article {MR97a:51023,
AUTHOR = {You, Xiu Ying and Yang, Xu Chi},
TITLE = {The metric equation of a bifundamental figure and its
applications},
JOURNAL = {Sichuan Daxue Xuebao},
FJOURNAL = {Sichuan Daxue Xuebao. Ziran Kexue Ban. Sichuan University
Journal. Natural Sciences},
VOLUME = {32},
YEAR = {1995},
NUMBER = {5},
PAGES = {486--490},
ISSN = {0490-6756},
CODEN = {SCTHAO},
MRCLASS = {51K05},
MRNUMBER = {97a:51023},
}
@article {MR2549047,
AUTHOR = {Tarazaga, P. and Gallardo, J.E.},
TITLE = {Euclidean distance matrices: new characterization and
boundary properties},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {57},
YEAR = {2009},
NUMBER = {7},
PAGES = {651--658},
ISSN = {0308-1087},
MRCLASS = {15B99},
MRNUMBER = {2549047 (2010i:15074)},
DOI = {10.1080/03081080802079259},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/03081080802079259},
}
@article {MR96m:51020,
AUTHOR = {Tarazaga, P. and Hayden, T.L. and Wells, J.},
TITLE = {Circum-{E}uclidean distance matrices and faces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {232},
YEAR = {1996},
PAGES = {77--96},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05},
MRNUMBER = {96m:51020},
MRREVIEWER = {Yao Zhang},
}
@article {MR95g:51021,
AUTHOR = {Hayden, T.L. and Tarazaga, P.},
TITLE = {Distance matrices and regular figures},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {195},
YEAR = {1993},
PAGES = {9--16},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A99)},
MRNUMBER = {95g:51021},
}
@article {MR1253266,
AUTHOR = {Hayden, T.L. and Tarazaga, P.},
TITLE = {Distance matrices and regular figures},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {195},
YEAR = {1993},
PAGES = {9--16},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A99)},
MRNUMBER = {MR1253266 (95g:51021)},
}
@article {MR96m:05137,
AUTHOR = {Johnson, C.R. and JONES, C.A. and KROSCHEL,
B.K.},
TITLE = {The {E}uclidean distance completion problem: cycle
completability},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {39},
YEAR = {1995},
NUMBER = {1-2},
PAGES = {195--207},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {05C50 (05B20 05C38)},
MRNUMBER = {96m:05137},
MRREVIEWER = {Ke Min Zhang},
}
@incollection {MR96i:92016,
AUTHOR = {Byrd, Richard H. and Eskow, Elizabeth and van der Hoek,
Andr{\'e} and Schnabel, Robert B. and Shao, Chung-Shang and
Zou, Zhi Hong},
TITLE = {Global optimization methods for protein folding problems},
BOOKTITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding (New Brunswick, NJ, 1995)},
PAGES = {29--39},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {92D20 (92C40)},
MRNUMBER = {96i:92016},
}
@incollection {MR96i:92005,
AUTHOR = {Amara, Patricia and Ma, Jianpeng and Straub, John E.},
TITLE = {Global minimization on rugged energy landscapes},
BOOKTITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding (New Brunswick, NJ, 1995)},
PAGES = {1--13},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {92C05 (49Q20 81V55 92C40 92E10)},
MRNUMBER = {96i:92005},
MRREVIEWER = {C. S. Sharma},
}
@article {MR96h:42029,
AUTHOR = {Shen, Zuowei},
TITLE = {Nontensor product wavelet packets in ${L}\sb 2({\bf {R}}\sp
s)$},
JOURNAL = {SIAM J. Math. Anal.},
FJOURNAL = {SIAM Journal on Mathematical Analysis},
VOLUME = {26},
YEAR = {1995},
NUMBER = {4},
PAGES = {1061--1074},
ISSN = {0036-1410},
CODEN = {SJMAAH},
MRCLASS = {42C15 (41A15 94A12)},
MRNUMBER = {96h:42029},
MRREVIEWER = {Gilbert Walter},
}
@book {MR96g:92001,
TITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding},
EDITOR = {Pardalos, P. M. and Shalloway, D. and Xue, G.},
NOTE = {Papers from the DIMACS Workshop held as part of the DIMACS
Special Year on Mathematical Support for Molecular Biology at
Rutgers University, New Brunswick, New Jersey, March 20--21,
1995},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1996},
PAGES = {xiv+271},
ISBN = {0-8218-0471-5},
MRCLASS = {92-06},
MRNUMBER = {96g:92001},
}
@article {MR96g:90093,
AUTHOR= "B. Hendrickson",
TITLE = {The molecule problem: exploiting structure in global
optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {4},
PAGES = {835--857},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C35 (05C90 90B80)},
MRNUMBER = {96g:90093},
}
@article {jj05,
AUTHOR = {JACKSON, B. and JORD{\'A}N, T.},
TITLE = {Connected rigidity matroids and unique realizations of graphs},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series B},
VOLUME = {94},
YEAR = {2005},
NUMBER = {1},
PAGES = {1--29},
ISSN = {0095-8956},
CODEN = {JCBTB8},
MRCLASS = {05B35 (05C62 52C25)},
MRNUMBER = {MR2130278 (2005m:05052)},
MRREVIEWER = {Tiong Seng Tay},
}
@article {MR96g:90060,
AUTHOR = {Laurent, M. and POLJAK, S.},
TITLE = {On a positive semidefinite relaxation of the cut polytope},
NOTE = {Special issue honoring Miroslav Fiedler and Vlastimil Pt\'ak},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {223/224},
YEAR = {1995},
PAGES = {439--461},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (52B12)},
MRNUMBER = {96g:90060},
MRREVIEWER = {Anna Rycerz},
}
@book {MR96g:62118,
AUTHOR = {Cox, Trevor F. and Cox, Michael A. A.},
TITLE = {Multidimensional scaling},
NOTE = {With 1 IBM-PC floppy disk (3.5 inch, HD)},
PUBLISHER = {Chapman \& Hall},
ADDRESS = {London},
YEAR = {1994},
PAGES = {xii+213},
ISBN = {0-412-49120-6},
MRCLASS = {62H99 (62-02)},
MRNUMBER = {96g:62118},
MRREVIEWER = {Rudolf Mathar},
}
@article {MR96g:15031,
AUTHOR = {Johnson, C.R. and Tarazaga, P.},
TITLE = {Connections between the real positive semidefinite and
distance matrix completion problems},
NOTE = {Special issue honoring Miroslav Fiedler and Vlastimil Pt\'ak},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {223/224},
YEAR = {1995},
PAGES = {375--391},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A99 (05C50)},
MRNUMBER = {96g:15031},
MRREVIEWER = {Linda J. Patton},
}
@article {MR96f:62107,
AUTHOR = {Groenen, Patrick J. F. and Mathar, Rudolf and Heiser, Willem
J.},
TITLE = {The majorization approach to multidimensional scaling for
{M}inkowski distances},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {12},
YEAR = {1995},
NUMBER = {1},
PAGES = {3--19},
ISSN = {0176-4268},
MRCLASS = {62H30},
MRNUMBER = {96f:62107},
}
@incollection {MR96e:81152,
AUTHOR = {David, Fran{\c{c}}ois},
TITLE = {Renormalization theory for interacting manifolds},
BOOKTITLE = {Quantum gravity (Nishinomiya, 1992)},
PAGES = {100--111},
PUBLISHER = {World Sci. Publishing},
ADDRESS = {River Edge, NJ},
YEAR = {1993},
MRCLASS = {81T15 (82C41)},
MRNUMBER = {96e:81152},
}
@proceedings {MR96d:62002,
TITLE = {Information systems and data analysis},
BOOKTITLE = {Proceedings of the Seventeenth Annual Conference of the
Gesellschaft f\"ur Klassifikation e.V.\ held at the University
of Kaiserslautern, Kaiserslautern, March 3--5, 1993},
EDITOR = {Bock, Hans Hermann and Lenski, Wolfgang and Richter, Michael
M.},
NOTE = {Prospects---Foundations---Applications},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {xvi+464},
ISBN = {3-540-58057-3},
MRCLASS = {62-06 (62-07 62H99)},
MRNUMBER = {96d:62002},
MRREVIEWER = {Allen Klinger},
}
@article {MR95k:51026,
AUTHOR = {Barvinok, A.I.},
TITLE = {Problems of distance geometry and convex properties of
quadratic maps},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry},
VOLUME = {13},
YEAR = {1995},
NUMBER = {2},
PAGES = {189--202},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {51K99 (05C12 49N15 52C25 90C35)},
MRNUMBER = {95k:51026},
MRREVIEWER = {Igor Rivin},
}
@article {MR2202433,
AUTHOR = {Fiedler, M.},
TITLE = {Matrices and graphs in {E}uclidean geometry},
JOURNAL = {Electron. J. Linear Algebra},
FJOURNAL = {Electronic Journal of Linear Algebra},
VOLUME = {14},
YEAR = {2005},
PAGES = {51--58 (electronic)},
ISSN = {1081-3810},
MRCLASS = {05C50 (15A48 15A63)},
MRNUMBER = {2202433 (2006j:05130)},
MRREVIEWER = {Ivan Izmestiev},
}
@article {MR95j:15008,
AUTHOR = {Fiedler, Miroslav},
TITLE = {Elliptic matrices with zero diagonal},
NOTE = {Second Conference of the International Linear Algebra Society
(ILAS) (Lisbon, 1992)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {197/198},
YEAR = {1994},
PAGES = {337--347},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A21 (15A18)},
MRNUMBER = {95j:15008},
MRREVIEWER = {Ferenc Wettl},
}
@article {MR95h:51039,
AUTHOR = {Su, Hua Ming},
TITLE = {A class of geometric inequalities of a finite point set lying
on sphere},
JOURNAL = {Chinese J. Contemp. Math.},
FJOURNAL = {Chinese Journal of Contemporary Mathematics},
VOLUME = {15},
YEAR = {1994},
NUMBER = {1},
PAGES = {59--63},
ISSN = {0898-5111},
MRCLASS = {51M16 (51K05)},
MRNUMBER = {95h:51039},
MRREVIEWER = {Jingzhong Zhang},
}
@book {MR95g:62128,
AUTHOR = {Basilevsky, Alexander},
TITLE = {Statistical factor analysis and related methods},
NOTE = {Theory and applications,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {xxvi+737},
ISBN = {0-471-57082-6},
MRCLASS = {62H25},
MRNUMBER = {95g:62128},
}
@incollection {MR95f:62094,
AUTHOR = {Cuadras, C. M. and Fortiana, J.},
TITLE = {Continuous metric scaling and prediction},
BOOKTITLE = {Multivariate analysis: future directions, 2 (Barcelona, 1992)},
PAGES = {47--66},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1993},
MRCLASS = {62H30},
MRNUMBER = {95f:62094},
}
@article {MR95d:68133,
AUTHOR = {Diday, Edwin},
TITLE = {Probabilist, possibilist and belief objects for pattern
recognition by data analysis},
JOURNAL = {Indian J. Pure Appl. Math.},
FJOURNAL = {Indian Journal of Pure and Applied Mathematics},
VOLUME = {25},
YEAR = {1994},
NUMBER = {1-2},
PAGES = {51--70},
ISSN = {0019-5588},
CODEN = {IJMHAU},
MRCLASS = {68T30},
MRNUMBER = {95d:68133},
MRREVIEWER = {Miguel Delgado Calvo-Flores},
}
@book {MR95d:62107,
AUTHOR = {Groenen, Patrick J. F.},
TITLE = {The majorization approach to multidimensional scaling},
NOTE = {Some problems and extensions},
PUBLISHER = {D.S.W.O. Press},
ADDRESS = {Leiden},
YEAR = {1993},
PAGES = {x+156},
ISBN = {90-6695-086-2},
MRCLASS = {62H99 (62H30 65K10)},
MRNUMBER = {95d:62107},
MRREVIEWER = {Rudolf Mathar},
}
@article {MR95d:62101,
AUTHOR = {Mathar, Rudolf and Meyer, Renate},
TITLE = {Preorderings, monotone functions, and best rank $r$
approximations with applications to classical {M}{D}{S}},
JOURNAL = {J. Statist. Plann. Inference},
FJOURNAL = {Journal of Statistical Planning and Inference},
VOLUME = {37},
YEAR = {1993},
NUMBER = {3},
PAGES = {291--305},
ISSN = {0378-3758},
CODEN = {JSPIDN},
MRCLASS = {62H25 (62P15)},
MRNUMBER = {95d:62101},
MRREVIEWER = {D. S. Tracy},
}
@article {MR95a:81304,
AUTHOR = {Xue, Guo Liang},
TITLE = {Improvement on the {N}orthby algorithm for molecular
conformation: better solutions},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {4},
YEAR = {1994},
NUMBER = {4},
PAGES = {425--440},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {81V55 (81-08 90C90)},
MRNUMBER = {95a:81304},
}
@article {MR95a:60021,
AUTHOR = {Buja, Andreas and Logan, B. F. and Reeds, J. A. and Shepp, L.
A.},
TITLE = {Inequalities and positive-definite functions arising from a
problem in multidimensional scaling},
JOURNAL = {Ann. Statist.},
FJOURNAL = {The Annals of Statistics},
VOLUME = {22},
YEAR = {1994},
NUMBER = {1},
PAGES = {406--438},
ISSN = {0090-5364},
CODEN = {ASTSC7},
MRCLASS = {60E99 (26D20 42A82 62H99 65K10)},
MRNUMBER = {95a:60021},
}
@article {MR94m:92025,
AUTHOR = {Xue, Guo Liang},
TITLE = {Molecular conformation on the {C}{M}-5 by parallel two-level
simulated annealing},
NOTE = {Advances in computational chemistry and protein folding},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {4},
YEAR = {1994},
NUMBER = {2},
PAGES = {187--208},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92E10 (90C27)},
MRNUMBER = {94m:92025},
}
@article {MR94j:51022,
AUTHOR = {DRESS, A.W.M. and HAVEL, T.F.},
TITLE = {Distance geometry and geometric algebra},
JOURNAL = {Found. Phys.},
FJOURNAL = {Foundations of Physics. An International Journal Devoted to
the Conceptual Bases and Fundamental Theories of Modern
Physics, Biophysics, and Cosmology},
VOLUME = {23},
YEAR = {1993},
NUMBER = {10},
PAGES = {1357--1374},
ISSN = {0015-9018},
CODEN = {FNDPA4},
MRCLASS = {51K05 (15A66 53A50)},
MRNUMBER = {94j:51022},
MRREVIEWER = {Dominique Lambert},
}
@article {MR94i:90129,
AUTHOR = {Tarazaga, P. and TROSSET, M.W.},
TITLE = {An optimization problem on subsets of the symmetric
positive-semidefinite matrices},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {79},
YEAR = {1993},
NUMBER = {3},
PAGES = {513--524},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C30 (65F10)},
MRNUMBER = {94i:90129},
MRREVIEWER = {Giorgio Giorgi},
}
@book {MR94i:90009,
TITLE = {Advances in computational chemistry and protein folding},
EDITOR = {Pardalos, Panos M. and Xue, Guo Liang},
NOTE = {J. Global Optim. {\bf 4} (1994), no. 2},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {1994},
PAGES = {i--iv and 117--241},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90-06 (90C90)},
MRNUMBER = {94i:90009},
}
@article {MR94i:62159,
AUTHOR = {Ellis, Jules L.},
TITLE = {Subpopulation invariance of patterns in covariance matrices},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {46},
YEAR = {1993},
NUMBER = {2},
PAGES = {231--254},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {62P15 (62H20)},
MRNUMBER = {94i:62159},
}
@article {MR94i:62089,
AUTHOR = {Herden, G.},
TITLE = {Some aspects of qualitative data analysis},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {26},
YEAR = {1993},
NUMBER = {2},
PAGES = {105--138},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {62H05 (62H30)},
MRNUMBER = {94i:62089},
MRREVIEWER = {Rudolf Mathar},
}
@article {MR94f:82034,
AUTHOR = {David, Fran{\c{c}}ois and Duplantier, Bertrand and Guitter,
Emmanuel},
TITLE = {Renormalization theory for interacting crumpled manifolds},
JOURNAL = {Nuclear Phys. B},
FJOURNAL = {Nuclear Physics. B},
VOLUME = {394},
YEAR = {1993},
NUMBER = {3},
PAGES = {555--664},
ISSN = {0550-3213},
CODEN = {NUPBBO},
MRCLASS = {82B28 (81T17 81T30 82D60)},
MRNUMBER = {94f:82034},
}
@incollection {MR94f:53083,
AUTHOR = {Alexander, Stephanie B. and Berg, I. David and Bishop, Richard
L.},
TITLE = {The distance-geometry of {R}iemannian manifolds with boundary},
BOOKTITLE = {Differential geometry: Riemannian geometry (Los Angeles, CA,
1990)},
PAGES = {31--36},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1993},
MRCLASS = {53C23 (53C70)},
MRNUMBER = {94f:53083},
MRREVIEWER = {Conrad Plaut},
}
@article {MR94c:86008,
AUTHOR = {LELE, S.},
TITLE = {{E}uclidean distance matrix analysis ({E}{D}{M}{A}): estimation
of mean form and mean form difference},
JOURNAL = {Math. Geol.},
FJOURNAL = {Mathematical Geology},
VOLUME = {25},
YEAR = {1993},
NUMBER = {5},
PAGES = {573--602},
ISSN = {0882-8121},
CODEN = {MATGED},
MRCLASS = {86A32},
MRNUMBER = {94c:86008},
}
@article {MR94c:54057,
AUTHOR = {Gao, En Yong and Zhai, Yan Hui},
TITLE = {The topological structure of a probability metric space and
its metrization},
JOURNAL = {Northeast. Math. J.},
FJOURNAL = {Northeastern Mathematical Journal. Dongbei Shuxue},
VOLUME = {8},
YEAR = {1992},
NUMBER = {4},
PAGES = {457--460},
ISSN = {1000-1778},
MRCLASS = {54E70},
MRNUMBER = {94c:54057},
MRREVIEWER = {B. Schweizer},
}
@article {MR94a:82031,
AUTHOR = {David, Fran{\c{c}}ois and Duplantier, Bertrand and Guitter,
Emmanuel},
TITLE = {Renormalization of crumpled manifolds},
JOURNAL = {Phys. Rev. Lett.},
FJOURNAL = {Physical Review Letters},
VOLUME = {70},
YEAR = {1993},
NUMBER = {15},
PAGES = {2205--2208},
ISSN = {0031-9007},
CODEN = {PRLTAO},
MRCLASS = {82B41 (81T17 81T30 82B28)},
MRNUMBER = {94a:82031},
}
@article {MR94a:52044,
AUTHOR = {Kamiyama, Yasuhiko},
TITLE = {An elementary proof of a theorem of {T}.\ {F}.\ {H}avel},
JOURNAL = {Ryukyu Math. J.},
FJOURNAL = {Ryukyu Mathematical Journal},
VOLUME = {5},
YEAR = {1992},
PAGES = {7--12},
MRCLASS = {52C25 (51K99 70B15 70G25)},
MRNUMBER = {94a:52044},
MRREVIEWER = {Robert Connelly},
}
@proceedings {MR94a:00012,
TITLE = {Differential geometry: {R}iemannian geometry},
BOOKTITLE = {Proceedings of the AMS Summer Research Institute on
Differential Geometry held at the University of California,
Los Angeles, California, July 8--28, 1990},
EDITOR = {Greene, Robert},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1993},
PAGES = {xxii+710},
ISBN = {0-8218-1496-6},
MRCLASS = {00B25 (58-06)},
MRNUMBER = {94a:00012},
}
@article {MR93i:62055,
AUTHOR = {Schneider, Robert B.},
TITLE = {A uniform approach to multidimensional scaling},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {9},
YEAR = {1992},
NUMBER = {2},
PAGES = {257--273},
ISSN = {0176-4268},
MRCLASS = {62H99 (62P15)},
MRNUMBER = {93i:62055},
}
@article {MR93i:51034,
AUTHOR = {Malitz, Seth M. and Malitz, Jerome I.},
TITLE = {A bounded compactness theorem for ${L}\sp 1$-embeddability of
metric spaces in the plane},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry},
VOLUME = {8},
YEAR = {1992},
NUMBER = {4},
PAGES = {373--385},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {51K05 (54E35)},
MRNUMBER = {93i:51034},
MRREVIEWER = {Grattan P. Murphy},
}
@article {MR93i:41026,
AUTHOR = {Sun, Xingping},
TITLE = {Norm estimates for inverses of {E}uclidean distance matrices},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {70},
YEAR = {1992},
NUMBER = {3},
PAGES = {339--347},
ISSN = {0021-9045},
CODEN = {JAXTAZ},
MRCLASS = {41A65 (65F35)},
MRNUMBER = {93i:41026},
MRREVIEWER = {Wu Li},
}
@article {MR93e:65058,
AUTHOR = {Gower, J.C. and GROENEN, P.J.F.},
TITLE = {Applications of the modified {L}everrier-{F}addeev algorithm
for the construction of explicit matrix spectral
decompositions and inverses},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica},
VOLUME = {40},
YEAR = {1991},
PAGES = {51--64},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {65F15 (65F05)},
MRNUMBER = {93e:65058},
MRREVIEWER = {V. L. Makarov},
}
@book {MR93d:62173,
AUTHOR = {Davison, Mark L.},
TITLE = {Multidimensional scaling},
NOTE = {Reprint of the 1983 original},
PUBLISHER = {Robert E. Krieger Publishing Co. Inc.},
ADDRESS = {Malabar, FL},
YEAR = {1992},
PAGES = {xiv+242},
ISBN = {0-89464-662-1},
MRCLASS = {62P15},
MRNUMBER = {93d:62173},
}
@incollection {MR93c:42031,
AUTHOR = {Berger, Marc A. and Wang, Yang},
TITLE = {Multidimensional two-scale dilation equations},
BOOKTITLE = {Wavelets},
PAGES = {295--323},
PUBLISHER = {Academic Press},
ADDRESS = {Boston, MA},
YEAR = {1992},
MRCLASS = {42C15 (65D17)},
MRNUMBER = {93c:42031},
}
@incollection {MR92k:51023,
AUTHOR = {Melter, Robert A.},
TITLE = {A survey of digital metrics},
BOOKTITLE = {Vision geometry (Hoboken, NJ, 1989)},
PAGES = {95--106},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1991},
MRCLASS = {51K05 (05B99 68U05)},
MRNUMBER = {92k:51023},
MRREVIEWER = {Ivan Stojmenovi{\'c}},
}
@article {MR92k:41002,
AUTHOR = {BALL, K.},
TITLE = {Eigenvalues of {E}uclidean distance matrices},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {68},
YEAR = {1992},
NUMBER = {1},
PAGES = {74--82},
ISSN = {0021-9045},
CODEN = {JAXTAZ},
MRCLASS = {41A05},
MRNUMBER = {92k:41002},
}
@article {MR92j:62075,
AUTHOR = {ten Berge, Jos M. F.},
TITLE = {A general solution for a class of weakly constrained linear
regression problems},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal of Quantitative Psychology},
VOLUME = {56},
YEAR = {1991},
NUMBER = {4},
PAGES = {601--609},
ISSN = {0033-3123},
CODEN = {PSYKA2},
MRCLASS = {62J05 (62J07)},
MRNUMBER = {92j:62075},
}
@article {MR92h:62094,
AUTHOR = {Cox, Trevor F. and Cox, Michael A. A.},
TITLE = {Multidimensional scaling on a sphere},
JOURNAL = {Comm. Statist. Theory Methods},
FJOURNAL = {Communications in Statistics. Theory and Methods},
VOLUME = {20},
YEAR = {1991},
NUMBER = {9},
PAGES = {2943--2953},
ISSN = {0361-0926},
CODEN = {CSTMDC},
MRCLASS = {62H30},
MRNUMBER = {92h:62094},
}
@book {MR92b:52001,
TITLE = {Quasicrystals, networks, and molecules of fivefold symmetry},
EDITOR = {Hargittai, Istv{\'a}n},
PUBLISHER = {VCH Verlagsgesellschaft mbH},
ADDRESS = {Weinheim},
YEAR = {1990},
PAGES = {xiv+314},
ISBN = {0-89573-723-X},
MRCLASS = {52-06 (00A69 00B15 82-06)},
MRNUMBER = {92b:52001},
}
@book {MR91k:62056,
AUTHOR = {Gifi, Albert},
TITLE = {Nonlinear multivariate analysis},
NOTE = {With a foreword by Jan de Leeuw,
Edited and with a preface by Willem Heiser, Jacqueline Meulman
and Gerda van den Berg},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1990},
PAGES = {xx+579},
ISBN = {0-471-92620-5},
MRCLASS = {62H25 (62-07 62H20)},
MRNUMBER = {91k:62056},
}
@article {MR91j:90074,
AUTHOR = {Glunt, W. and Hayden, T.L. and Hong, S. and Wells, J.},
TITLE = {An alternating projection algorithm for computing the nearest
{E}uclidean distance matrix},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {11},
YEAR = {1990},
NUMBER = {4},
PAGES = {589--600},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {90C30 (49M99)},
MRNUMBER = {91j:90074},
}
@article {MR91j:62065,
AUTHOR = {Mathar, Rudolf},
TITLE = {Multidimensional scaling with constraints on the
configuration},
JOURNAL = {J. Multivariate Anal.},
FJOURNAL = {Journal of Multivariate Analysis},
VOLUME = {33},
YEAR = {1990},
NUMBER = {2},
PAGES = {151--156},
ISSN = {0047-259X},
MRCLASS = {62H05},
MRNUMBER = {91j:62065},
MRREVIEWER = {L. Rejto},
}
@article {MR91i:51023,
AUTHOR = {Hayden, T.L. and Wells, J. and LIU, W.M. and Tarazaga,
P.},
TITLE = {The cone of distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {144},
YEAR = {1991},
PAGES = {153--169},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48)},
MRNUMBER = {91i:51023},
}
@book {MR91h:68155,
AUTHOR = {Jain, Anil K. and Dubes, Richard C.},
TITLE = {Algorithms for clustering data},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, NJ},
YEAR = {1988},
PAGES = {xiv+320},
ISBN = {0-13-022278-X},
MRCLASS = {68T10 (62-07 62H30 68U10)},
MRNUMBER = {91h:68155},
MRREVIEWER = {Guna Seetharaman},
}
@article {MR98k:92007,
AUTHOR = {Neumaier, Arnold},
TITLE = {Molecular modeling of proteins and mathematical prediction
of
protein structure},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review. A Publication of the Society for Industrial
and
Applied Mathematics},
VOLUME = {39},
YEAR = {1997},
NUMBER = {3},
PAGES = {407--460},
ISSN = {0036-1445},
CODEN = {SIREAD},
MRCLASS = {92C40 (65L05 92-08 92E10)},
MRNUMBER = {98k:92007},
MRREVIEWER = {James L. Cornette},
}
@article {MR91d:15015,
AUTHOR = {Neumaier, A.},
TITLE = {Derived eigenvalues of symmetric matrices, with applications
to distance geometry},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {134},
YEAR = {1990},
PAGES = {107--120},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18 (51K05)},
MRNUMBER = {91d:15015},
MRREVIEWER = {J. J. Seidel},
}
@book {MR91c:62001,
AUTHOR = {Hansohm, J{\"u}rgen},
TITLE = {Die {B}ehandlung qualitativer {D}atenstrukturen in
quantitativen {A}nalysemethoden durch das {P}rinzip der
optimalen {S}kalierung},
PUBLISHER = {Verlag Peter D. Lang},
ADDRESS = {Frankfurt am Main},
YEAR = {1987},
PAGES = {ii+141},
ISBN = {3-8204-0136-9},
MRCLASS = {62-01 (62-07 62Hxx 62Pxx)},
MRNUMBER = {91c:62001},
MRREVIEWER = {H. Enke},
}
@article {MR90h:62123,
AUTHOR = {de Leeuw, Jan},
TITLE = {Convergence of the majorization method for multidimensional
scaling},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {5},
YEAR = {1988},
NUMBER = {2},
PAGES = {163--180},
ISSN = {0176-4268},
MRCLASS = {62H10},
MRNUMBER = {90h:62123},
}
@article {MR90g:92046,
AUTHOR = {Telegdi, L.},
TITLE = {Arrangements of minimal variance---multidimensional scaling in
the symmetrical case},
NOTE = {Symmetry 2: unifying human understanding, Part 1},
JOURNAL = {Comput. Math. Appl.},
FJOURNAL = {Computers \& Mathematics with Applications. An International
Journal},
VOLUME = {17},
YEAR = {1989},
NUMBER = {1-3},
PAGES = {137--145},
ISSN = {0097-4943},
CODEN = {CMAPDK},
MRCLASS = {92A10 (62P99 92A25)},
MRNUMBER = {90g:92046},
MRREVIEWER = {L. M. Kelly},
}
@article {MR90g:62135,
AUTHOR = {Cuadras, C. M. and Oller, J. M.},
TITLE = {Eigenanalysis and metric multidimensional scaling on
hierarchical structures},
JOURNAL = {Q\"uestii\'o},
FJOURNAL = {Q\"uestii\'o.},
VOLUME = {11},
YEAR = {1987},
NUMBER = {3},
PAGES = {37--57},
ISSN = {0210-8054},
MRCLASS = {62H30 (92A25)},
MRNUMBER = {90g:62135},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@article {MR90f:92038,
AUTHOR = {CRIPPEN, G.M.},
TITLE = {Linearized embedding: a new metric matrix algorithm for
calculating molecular conformations subject to geometric
constraints},
JOURNAL = {J. Comput. Chem.},
FJOURNAL = {Journal of Computational Chemistry},
VOLUME = {10},
YEAR = {1989},
NUMBER = {7},
PAGES = {896--902},
ISSN = {0192-8651},
CODEN = {JCCHDD},
MRCLASS = {92A40},
MRNUMBER = {90f:92038},
}
@article {MR90e:92096,
AUTHOR = {MacKay, David B.},
TITLE = {Probabilistic multidimensional scaling: an anisotropic model
for distance judgments},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {33},
YEAR = {1989},
NUMBER = {2},
PAGES = {187--205},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (62P15)},
MRNUMBER = {90e:92096},
MRREVIEWER = {C. Hayashi},
}
@incollection {MR90e:62143,
AUTHOR = {Opitz, Otto},
TITLE = {Optimale {S}kalierung qualitativer {D}aten},
BOOKTITLE = {\"Okonomie und Mathematik},
PAGES = {302--316},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1987},
MRCLASS = {62P99 (62H30 92A25)},
MRNUMBER = {90e:62143},
}
@article {MR90e:51025,
AUTHOR = {Deza, M. and Maehara, H.},
TITLE = {Metric transforms and {E}uclidean embeddings},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {317},
YEAR = {1990},
NUMBER = {2},
PAGES = {661--671},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {51K05},
MRNUMBER = {90e:51025},
MRREVIEWER = {Grattan P. Murphy},
}
@incollection {MR90d:62138,
AUTHOR = {Mathar, R.},
TITLE = {Dimensionality in constrained scaling},
BOOKTITLE = {Classification and related methods of data analysis (Aachen,
1987)},
PAGES = {479--488},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1988},
MRCLASS = {62P15 (62H99)},
MRNUMBER = {90d:62138},
}
@book {MR90d:62001,
AUTHOR = {Everitt, B. S.},
TITLE = {Introduction to optimization methods and their application in
statistics},
PUBLISHER = {Chapman \& Hall},
ADDRESS = {London},
YEAR = {1987},
PAGES = {viii+88},
ISBN = {0-412-27210-5; 0-412-29680-2},
MRCLASS = {62-01 (49D10 49D15 62Hxx)},
MRNUMBER = {90d:62001},
MRREVIEWER = {L. R{\"u}schendorf},
}
@proceedings {MR90a:62006,
TITLE = {Classification and related methods of data analysis},
BOOKTITLE = {Proceedings of the First Conference of the International
Federation of Classification Societies held in Aachen, June
29--July 1, 1987},
EDITOR = {Bock, Hans H.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1988},
PAGES = {xvi+749},
ISBN = {0-444-70404-3},
MRCLASS = {62-06 (92A25)},
MRNUMBER = {90a:62006},
}
@book {MR90a:00018,
TITLE = {Symmetry 2: unifying human understanding. {P}art 1},
EDITOR = {Hargittai, I.},
NOTE = {Comput. Math. Appl. {\bf 17} (1989), no. 1-3},
PUBLISHER = {Pergamon Press},
ADDRESS = {Oxford},
YEAR = {1989},
PAGES = {i--xii and 1--473},
ISSN = {0097-4943},
CODEN = {CMAPDK},
MRCLASS = {00A10},
MRNUMBER = {90a:00018},
}
@article {MR89m:62060,
AUTHOR = {Telegdi, L{\'a}szl{\'o}},
TITLE = {Structural inference of binary variables},
JOURNAL = {Tanulm\'anyok---MTA Sz\'amit\'astech. Automat. Kutat\'o Int.
Budapest},
FJOURNAL = {Tanulm\'anyok. MTA Sz\'amit\'astechnikai \'es
Automatiz\'al\'asi Kutat\'o Int\'ezet Budapest},
NUMBER = {195},
YEAR = {1987},
PAGES = {147},
ISSN = {0324-2951},
MRCLASS = {62H30 (62P10)},
MRNUMBER = {89m:62060},
MRREVIEWER = {Tamas Lengyel},
}
@article {MR89k:92081,
AUTHOR = {Ennis, Daniel M. and Palen, Joseph J. and Mullen, Kenneth},
TITLE = {A multidimensional stochastic theory of similarity},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {32},
YEAR = {1988},
NUMBER = {4},
PAGES = {449--465},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25},
MRNUMBER = {89k:92081},
MRREVIEWER = {Tenko Raykov},
}
@article {MR89k:65047,
AUTHOR = {Hayden, T.L. and Wells, Jim},
TITLE = {Approximation by matrices positive semidefinite on a subspace},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {109},
YEAR = {1988},
PAGES = {115--130},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F35 (15A60)},
MRNUMBER = {89k:65047},
MRREVIEWER = {F. Szidarovszky},
}
@incollection {MR89j:62076,
AUTHOR = {d'Aubigny, G.},
TITLE = {A toolkit for multidimensional scaling of dissimilarity data},
BOOKTITLE = {Data analysis and informatics, V (Versailles, 1987)},
PAGES = {3--16},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1988},
MRCLASS = {62H25},
MRNUMBER = {89j:62076},
}
@proceedings {MR89i:62004,
TITLE = {C{O}{M}{P}{S}{T}{A}{T} 1988},
BOOKTITLE = {Proceedings of the Eighth Biannual Symposium on Computational
Statistics held in Copenhagen, 1988},
EDITOR = {Edwards, D. and Raun, N. E.},
PUBLISHER = {Physica-Verlag},
ADDRESS = {Heidelberg},
YEAR = {1988},
PAGES = {xiv+451},
ISBN = {3-7908-0411-8},
MRCLASS = {62-06 (65-06)},
MRNUMBER = {89i:62004},
}
@proceedings {MR89g:62009,
TITLE = {Data analysis and informatics. {V}},
BOOKTITLE = {Proceedings of the Fifth International Symposium held in
Versailles, September 29--October 2, 1987},
EDITOR = {Diday, E.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1988},
PAGES = {xiv+514},
ISBN = {0-444-70445-0},
MRCLASS = {62-06},
MRNUMBER = {89g:62009},
}
@article {MR89e:92063,
AUTHOR = {DRESS, A.W.M. and HAVEL, T.F.},
TITLE = {Shortest-path problems and molecular conformation},
NOTE = {Applications of graphs in chemistry and physics},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics},
VOLUME = {19},
YEAR = {1988},
NUMBER = {1-3},
PAGES = {129--144},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {92A40 (90B10)},
MRNUMBER = {89e:92063},
MRREVIEWER = {G. W. Peck},
}
@incollection {MR89c:51020,
AUTHOR = {DRESS, A.W.M. and HAVEL, T.F.},
TITLE = {The fundamental theory of distance geometry},
BOOKTITLE = {Computer aided geometric reasoning, Vol.\ I, II
(Sophia-Antipolis, 1987)},
PAGES = {127--169},
PUBLISHER = {INRIA},
ADDRESS = {Rocquencourt},
YEAR = {1987},
MRCLASS = {51K05},
MRNUMBER = {89c:51020},
MRREVIEWER = {V. N. Berestovski{\u\i}},
}
@book {MR89b:92037,
TITLE = {Applications of graphs in chemistry and physics},
EDITOR = {Kennedy, J. W. and Quintas, L. V.},
NOTE = {Discrete Appl. Math. {\bf 19} (1988), no. 1-3},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1988},
PAGES = {i--viii and 1--416},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {92A40},
MRNUMBER = {89b:92037},
}
@book {MR89b:62130,
AUTHOR = {D{\`e}{\u\i}vison, M.},
TITLE = {Mnogomernoe shkalirovanie},
NOTE = {Metody naglyadnogo predstavleniya dannykh. [Methods for the
visual representation of data],
Translated from the English and with an appendix by V. S.
Kamenski\u\i,
With a preface by S. A. A\u\i vazyan and Kamenski\u\i},
PUBLISHER = {``Finansy i Statistika''},
ADDRESS = {Moscow},
YEAR = {1988},
PAGES = {256},
MRCLASS = {62H99},
MRNUMBER = {89b:62130},
}
@article {MR89a:92069,
AUTHOR = {Cozzens, Margaret B. and Leibowitz, Rochelle},
TITLE = {Multidimensional scaling and threshold graphs},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {31},
YEAR = {1987},
NUMBER = {2},
PAGES = {179--191},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (06A99)},
MRNUMBER = {89a:92069},
MRREVIEWER = {Fumiko Samejima},
}
@article {MR89a:62147,
AUTHOR = {Telegdi, L{\'a}szl{\'o}},
TITLE = {Investigation of the structure of binary variables},
JOURNAL = {Alkalmaz. Mat. Lapok},
FJOURNAL = {Alkalmazott Matematikai Lapok},
VOLUME = {13},
YEAR = {1987/88},
NUMBER = {1-2},
PAGES = {17--42},
ISSN = {0133-3399},
CODEN = {AMLAD8},
MRCLASS = {62H30 (62P10)},
MRNUMBER = {89a:62147},
}
@incollection {MR89a:62141,
AUTHOR = {BOCK, H.H.},
TITLE = {On the interface between cluster analysis, principal component
analysis, and multidimensional scaling},
BOOKTITLE = {Multivariate statistical modeling and data analysis
(Harrisonburg, Va., 1986)},
PAGES = {17--34},
PUBLISHER = {Reidel},
ADDRESS = {Dordrecht},
YEAR = {1987},
MRCLASS = {62H30 (62H25)},
MRNUMBER = {89a:62141},
}
@proceedings {MR88k:92093,
TITLE = {Developments in numerical ecology},
BOOKTITLE = {Proceedings of the NATO advanced research workshop on
numerical ecology held in Roscoff, June 3--11, 1986},
EDITOR = {Legendre, Pierre and Legendre, Louis},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1987},
PAGES = {xii+585},
ISBN = {3-540-16086-8},
MRCLASS = {92A17 (62P10)},
MRNUMBER = {88k:92093},
MRREVIEWER = {Ivar Heuch},
}
@article {MR88k:92037,
AUTHOR = {Schlick, Tamar and Peskin, Charles and Broyde, Suse and
Overton, Michael},
TITLE = {An analysis of the structural and energetic properties of
deoxyribose by potential energy methods},
JOURNAL = {J. Comput. Chem.},
FJOURNAL = {Journal of Computational Chemistry},
VOLUME = {8},
YEAR = {1987},
NUMBER = {8},
PAGES = {1199--1224},
ISSN = {0192-8651},
CODEN = {JCCHDD},
MRCLASS = {92A09 (92A08)},
MRNUMBER = {88k:92037},
}
@article {MR88k:15023,
AUTHOR = {FAREBROTHER, R.W.},
TITLE = {Three theorems with applications to {E}uclidean distance
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {95},
YEAR = {1987},
PAGES = {11--16},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48 (92A27)},
MRNUMBER = {88k:15023},
MRREVIEWER = {Shao Kuan Li},
}
@proceedings {MR88j:62004,
TITLE = {Multivariate statistical modeling and data analysis},
BOOKTITLE = {Proceedings of the advanced symposium on multivariate modeling
and data analysis held at the sixty-fourth annual meeting of
the Virginia Academy of Sciences at James Madison University,
Harrisonburg, Va., May 15--16, 1986},
EDITOR = {Bozdogan, H. and Gupta, A. K.},
PUBLISHER = {D. Reidel Publishing Co.},
ADDRESS = {Dordrecht},
YEAR = {1987},
PAGES = {x+189},
ISBN = {90-277-2592-6},
MRCLASS = {62-06},
MRNUMBER = {88j:62004},
}
@incollection {MR88i:62107,
AUTHOR = {Critchley, F.},
TITLE = {Analysis of residuals and regional representation in nonmetric
multidimensional scaling},
BOOKTITLE = {Classification as a tool of research (Karlsruhe, 1985)},
PAGES = {67--77},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1986},
MRCLASS = {62H30},
MRNUMBER = {88i:62107},
}
@book {MR88h:51001,
TITLE = {Computer-aided geometric reasoning. {V}ol. {I}, {I}{I}},
EDITOR = {Crapo, Henry},
NOTE = {Papers from the INRIA workshop held in Sophia-Antipolis, June
22--26, 1987},
PUBLISHER = {Institut National de Recherche en Informatique et en
Automatique (INRIA)},
ADDRESS = {Rocquencourt},
YEAR = {1987},
PAGES = {Vol.\ I: 212 pp; Vol.\ II: pp.\ 213--372},
ISBN = {2-7261-0493-2},
MRCLASS = {51-06 (51-04)},
MRNUMBER = {88h:51001},
}
@book {MR88g:62217,
AUTHOR = {Torgerson, Warren S.},
TITLE = {Theory and methods of scaling},
NOTE = {With a foreword by Harold Gulliksen,
Reprint of the 1958 original},
PUBLISHER = {Robert E. Krieger Publishing Co. Inc.},
ADDRESS = {Melbourne, Fla.},
YEAR = {1985},
PAGES = {xiv+460},
ISBN = {0-89874-722-8},
MRCLASS = {62P15 (92A25)},
MRNUMBER = {88g:62217},
}
@proceedings {MR88g:62003,
TITLE = {Classification as a tool of research},
BOOKTITLE = {Proceedings of the ninth annual meeting of the German
Classification Society held at the University of Karlsruhe,
Karlsruhe, June 26--28, 1985},
EDITOR = {Gaul, W. and Schader, M.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1986},
PAGES = {xiv+502},
ISBN = {0-444-87980-3},
MRCLASS = {62-06 (92A25)},
MRNUMBER = {88g:62003},
}
@article {MR88e:92048,
AUTHOR = {Chubb, Charles},
TITLE = {Collapsing binary data for algebraic multidimensional
representation},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {30},
YEAR = {1986},
NUMBER = {2},
PAGES = {161--187},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (62P15)},
MRNUMBER = {88e:92048},
MRREVIEWER = {Fumiko Samejima},
}
@article {MR88e:53110,
AUTHOR = {Berestovski{\u\i}, V. N.},
TITLE = {Spaces with bounded curvature and distance geometry},
JOURNAL = {Sibirsk. Mat. Zh.},
FJOURNAL = {Akademiya Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u\i \
Matematicheski\u\i\ Zhurnal},
VOLUME = {27},
YEAR = {1986},
NUMBER = {1},
PAGES = {11--25, 197},
ISSN = {0037-4474},
MRCLASS = {53C70 (51K05)},
MRNUMBER = {88e:53110},
MRREVIEWER = {A. V. Pogorelov},
}
@article {MR88e:51029,
AUTHOR = {Fauring, Patricia and Guti{\'e}rrez, Flora and Larotonda,
Angel},
TITLE = {The variety of distances between points},
JOURNAL = {Rev. Un. Mat. Argentina},
FJOURNAL = {Revista de la Uni\'on Matem\'atica Argentina},
VOLUME = {31},
YEAR = {1984},
NUMBER = {4},
PAGES = {179--186 (1985)},
ISSN = {0041-6932},
CODEN = {RMAFAG},
MRCLASS = {51K05},
MRNUMBER = {88e:51029},
MRREVIEWER = {B. Klotzek},
}
@article {MR88c:62004,
AUTHOR = {Friedman, Jerome H.},
TITLE = {Exploratory projection pursuit},
JOURNAL = {J. Amer. Statist. Assoc.},
FJOURNAL = {Journal of the American Statistical Association},
VOLUME = {82},
YEAR = {1987},
NUMBER = {397},
PAGES = {249--266},
ISSN = {0162-1459},
CODEN = {JSTNAL},
MRCLASS = {62-07 (62G05)},
MRNUMBER = {88c:62004},
}
@proceedings {MR88a:62006,
TITLE = {Data analysis and informatics. {I}{V}},
BOOKTITLE = {Proceedings of the fourth international symposium held in
Versailles, October 9--11, 1985},
EDITOR = {Diday, E. and Escoufier, Y. and Lebart, L. and Pages, J. and
Schektman, Y. and Tomassone, R.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1986},
PAGES = {xiv+764},
ISBN = {0-444-70061-7},
MRCLASS = {62-06 (68-06)},
MRNUMBER = {88a:62006},
}
@article {MR87k:62104,
AUTHOR = {BENEDICT, J.P. and CHANG, T.C.},
TITLE = {On the quadratic diversity and its relationship to
multidimensional scaling},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied
Mathematics, Computer Science, and Statistics},
VOLUME = {29},
YEAR = {1986},
PAGES = {177--191},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {62H30 (94A17)},
MRNUMBER = {87k:62104},
MRREVIEWER = {C. R. Rao},
}
@article {MR87k:51042,
AUTHOR = {Sippl, Manfred J. and Scheraga, Harold A.},
TITLE = {Cayley-{M}enger coordinates},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {83},
YEAR = {1986},
NUMBER = {8},
PAGES = {2283--2287},
ISSN = {0027-8424},
CODEN = {PNASA6},
MRCLASS = {51K05 (81G55)},
MRNUMBER = {87k:51042},
MRREVIEWER = {Grattan P. Murphy},
}
@article {MR87k:05142,
AUTHOR = {Bandelt, Hans-J{\"u}rgen and Mulder, Henry Martyn},
TITLE = {Distance-hereditary graphs},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series B},
VOLUME = {41},
YEAR = {1986},
NUMBER = {2},
PAGES = {182--208},
ISSN = {0095-8956},
CODEN = {JCBTB8},
MRCLASS = {05C99 (51K99)},
MRNUMBER = {87k:05142},
MRREVIEWER = {R. A. Melter},
}
@book {MR87h:62110,
AUTHOR = {Terekhina, A. Yu.},
TITLE = {Analiz dannykh metodami mnogomernogo shkalirovaniya},
PUBLISHER = {``Nauka''},
ADDRESS = {Moscow},
YEAR = {1986},
PAGES = {168},
MRCLASS = {62H30 (62-07 62P15)},
MRNUMBER = {87h:62110},
}
@article {MR87g:92050,
AUTHOR = {Hartmann, Wolfgang},
TITLE = {Modern methods of data analysis in sociology},
NOTE = {Translated from the German by Ryszard Zieli\'nski},
JOURNAL = {Mat. Stos.},
FJOURNAL = {Roczniki Polskiego Towarzystwa Matematycznego. Seria III.
Matematyka Stosowana},
VOLUME = {24},
YEAR = {1985},
PAGES = {21--48},
ISSN = {0137-2890},
MRCLASS = {92A20},
MRNUMBER = {87g:92050},
MRREVIEWER = {Jacek Koronacki},
}
@book {MR87g:62003,
AUTHOR = {DIGBY, P.G.N. and Gower, J.C.},
TITLE = {Ordination and classification},
PUBLISHER = {Presses de l'Universit\'e de Montr\'eal},
ADDRESS = {Montreal, Que.},
YEAR = {1986},
PAGES = {87},
ISBN = {2-7606-0742-9},
MRCLASS = {62-07 (62H30)},
MRNUMBER = {87g:62003},
MRREVIEWER = {A. D. Gordon},
}
@proceedings {MR87f:90003b,
TITLE = {X symposium on operations research. {P}art {I}{I}. {S}ections
6--10},
BOOKTITLE = {Proceedings of the symposium held at the Universit\"at
M\"unchen, Munich, August 26--28, 1985},
EDITOR = {Beckmann, Martin J. and Gaede, Karl-Walter and Ritter, Klaus
and Schneeweiss, Hans},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1986},
PAGES = {xx+574},
ISBN = {3-445-02398-0},
MRCLASS = {90-06},
MRNUMBER = {87f:90003b},
}
@proceedings {MR87f:90003a,
TITLE = {X symposium on operations research. {P}art {I}. {S}ections
1--5},
BOOKTITLE = {Proceedings of the symposium held at the Universit\"at
M\"unchen, Munich, August 26--28, 1985},
EDITOR = {Beckmann, Martin J. and Gaede, Karl-Walter and Ritter, Klaus
and Schneeweiss, Hans},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1986},
PAGES = {xx+707},
ISBN = {3-445-02397-2},
MRCLASS = {90-06},
MRNUMBER = {87f:90003a},
}
@article {MR87e:62103,
AUTHOR = {de Leeuw, Jan and Bettonvil, Bert},
TITLE = {An upper bound for sstress},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {51},
YEAR = {1986},
NUMBER = {1},
PAGES = {149--153},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15},
MRNUMBER = {87e:62103},
}
@article {MR87c:62204,
AUTHOR = {Brady, Henry E.},
TITLE = {Statistical consistency and hypothesis testing for nonmetric
multidimensional scaling},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {50},
YEAR = {1985},
NUMBER = {4},
PAGES = {509--537},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15},
MRNUMBER = {87c:62204},
}
@article {MR86m:92050,
AUTHOR = {Manicke, Robert L.},
TITLE = {On the stochastic geometrical foundations of metric
multidimensional scaling},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {9},
YEAR = {1985},
NUMBER = {1},
PAGES = {53--62},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {92A25 (54E35)},
MRNUMBER = {86m:92050},
MRREVIEWER = {Joachim Krauth},
}
@article {MR86j:62133,
AUTHOR = {Gower, J.C.},
TITLE = {Properties of {E}uclidean and non-{E}uclidean distance
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {67},
YEAR = {1985},
PAGES = {81--97},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {62H20 (15A57)},
MRNUMBER = {86j:62133},
MRREVIEWER = {Ferenc Juh{\'a}sz},
}
@article {MR86g:65084,
AUTHOR = {Mathar, Rudolf},
TITLE = {The best {E}uclidian fit to a given distance matrix in
prescribed dimensions},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {67},
YEAR = {1985},
PAGES = {1--6},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F30 (15A60)},
MRNUMBER = {86g:65084},
MRREVIEWER = {A. R. Amir-Mo{\'e}z},
}
@book {MR86f:90002b,
TITLE = {Contributions to operations research and mathematical
economics. {V}ol. {I}{I}},
EDITOR = {Hammer, G. and Pallaschke, D.},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1984},
PAGES = {i--x and 403--674},
ISBN = {3-445-02382-4},
MRCLASS = {90-06},
MRNUMBER = {86f:90002b},
}
@book {MR86f:90002a,
TITLE = {Contributions to operations research and mathematical
economics. {V}ol. {I}},
EDITOR = {Hammer, G. and Pallaschke, D.},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1984},
PAGES = {ix+400},
ISBN = {3-445-02381-6},
MRCLASS = {90-06},
MRNUMBER = {86f:90002a},
}
@book {MR86f:62080,
AUTHOR = {Seber, G. A. F.},
TITLE = {Multivariate observations},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1984},
PAGES = {xx+686},
ISBN = {0-471-88104-X},
MRCLASS = {62Hxx},
MRNUMBER = {86f:62080},
MRREVIEWER = {Anant M. Kshirsagar},
}
@article {MR86f:51023,
AUTHOR = {Mikha{\u\i}lichenko, G. G.},
TITLE = {Group symmetry and phenomenological symmetry in geometry},
JOURNAL = {Sibirsk. Mat. Zh.},
FJOURNAL = {Akademiya Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u\i \
Matematicheski\u\i\ Zhurnal},
VOLUME = {25},
YEAR = {1984},
NUMBER = {5},
PAGES = {99--113},
ISSN = {0037-4474},
MRCLASS = {51K99},
MRNUMBER = {86f:51023},
MRREVIEWER = {V. N. Berestovski{\u\i}},
}
@article {MR86e:92045,
AUTHOR = {HAVEL, T.F. and KUNTZ, I.D. and CRIPPEN, B.},
TITLE = {Errata: ``{T}he theory and practice of distance geometry''
[{B}ull. {M}ath. {B}iol. {\bf 45} (1983), no. 5, 665--720;
{M}{R} 84k:92037]},
JOURNAL = {Bull. Math. Biol.},
FJOURNAL = {Bulletin of Mathematical Biology},
VOLUME = {47},
YEAR = {1985},
NUMBER = {1},
PAGES = {157},
ISSN = {0092-8240},
CODEN = {BMBTAP},
MRCLASS = {92A90},
MRNUMBER = {86e:92045},
}
@book {MR86d:92001,
TITLE = {Trends in mathematical psychology},
EDITOR = {Degreef, E. and van Buggenhaut, J.},
NOTE = {Papers presented at the 14th European mathematical psychology
group meeting held in Brussels, September 12--14, 1983},
PUBLISHER = {Elsevier Scientific Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1984},
PAGES = {xiii+478},
ISBN = {0-444-87512-3},
MRCLASS = {92-06 (62-06 90-06)},
MRNUMBER = {86d:92001},
}
@article {MR86d:62093,
AUTHOR = {ten Berge, Jos M. F.},
TITLE = {A joint treatment of varimax rotation and the problem of
diagonalizing symmetric matrices simultaneously in the
least-squares sense},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {49},
YEAR = {1984},
NUMBER = {3},
PAGES = {347--358},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62H25},
MRNUMBER = {86d:62093},
MRREVIEWER = {Byron J. T. Morgan},
}
@article {MR86b:92029,
AUTHOR = {Doignon, Jean-Paul and Ducamp, Andr{\'e} and Falmagne,
Jean-Claude},
TITLE = {On realizable biorders and the biorder dimension of a
relation},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {28},
YEAR = {1984},
NUMBER = {1},
PAGES = {73--109},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A27 (90A10)},
MRNUMBER = {86b:92029},
MRREVIEWER = {Fumiko Samejima},
}
@book {MR86b:62012,
AUTHOR = {Tosstorff, G{\"u}nther},
TITLE = {Methoden der geometrischen {D}atenanalyse und ihre {A}nwendung
bei der {U}ntersuchung des {E}ntwicklungsprozesses},
PUBLISHER = {Physica-Verlag},
ADDRESS = {Heidelberg},
YEAR = {1983},
PAGES = {183},
ISBN = {3-7908-0302-2},
MRCLASS = {62-07 (62H25 62H30)},
MRNUMBER = {86b:62012},
}
@book {MR85m:62114,
AUTHOR = {Krafft, Olaf},
TITLE = {Multivariate deskriptive statistische {V}erfahren},
PUBLISHER = {Westf\"alische Wilhelms-Universit\"at M\"unster Institut f\"ur
Mathematische Statistik},
ADDRESS = {M\"unster},
YEAR = {1983},
PAGES = {iv+95},
MRCLASS = {62H05 (62-07)},
MRNUMBER = {85m:62114},
MRREVIEWER = {Franz Streit},
}
@article {MR85m:54050,
AUTHOR = {Naimpally, S. A. and Singh, K. L. and Whitfield, J. H. M.},
TITLE = {Fixed and common fixed points for nonexpansive mappings in
convex metric spaces},
JOURNAL = {Math. Sem. Notes Kobe Univ.},
FJOURNAL = {Kobe University. Mathematics Seminar Notes},
VOLUME = {11},
YEAR = {1983},
NUMBER = {2},
PAGES = {239--248},
ISSN = {0385-633X},
MRCLASS = {54H25},
MRNUMBER = {85m:54050},
MRREVIEWER = {William O. Ray},
}
@inproceedings {MR85m:51007,
AUTHOR = {Dubikajtis, L.},
TITLE = {A system of axioms for plane {E}uclidean, hyperbolic and
elliptic geometries},
BOOKTITLE = {Proceedings of the conference on combinatorial and incidence
geometry: principles and applications (La Mendola, 1982)},
PAGES = {283--288},
PUBLISHER = {Vita e Pensiero},
ADDRESS = {Milan},
YEAR = {1984},
MRCLASS = {51K05 (51M05 51M10)},
MRNUMBER = {85m:51007},
MRREVIEWER = {L. M. Kelly},
}
@article {MR85k:05093,
AUTHOR = {Fishburn, Peter C.},
TITLE = {On the sphericity and cubicity of graphs},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series B},
VOLUME = {35},
YEAR = {1983},
NUMBER = {3},
PAGES = {309--318},
ISSN = {0095-8956},
CODEN = {JCBTB8},
MRCLASS = {05C99},
MRNUMBER = {85k:05093},
MRREVIEWER = {M. C. Golumbic},
}
@article {MR85h:62127,
AUTHOR = {Tversky, Amos and Rinott, Yosef and Newman, Charles M.},
TITLE = {Nearest neighbor analysis of point processes: applications to
multidimensional scaling},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {27},
YEAR = {1983},
NUMBER = {3},
PAGES = {235--250},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {62M99 (62P15 92A25)},
MRNUMBER = {85h:62127},
}
@incollection {MR85h:62082,
AUTHOR = {DE LEEUW, J. and HEISER, W.},
TITLE = {Theory of multidimensional scaling},
BOOKTITLE = {Classification, pattern recognition and reduction of
dimensionality},
PAGES = {285--316},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1982},
MRCLASS = {62H99},
MRNUMBER = {85h:62082},
MRREVIEWER = {M. A. Chmielewski},
}
@article {MR85g:92019,
AUTHOR = {Feger, Hubert and Bien, Walter},
TITLE = {Network unfolding},
JOURNAL = {Social Networks},
FJOURNAL = {Social Networks. An International Journal of Structural
Analysis},
VOLUME = {4},
YEAR = {1982/83},
NUMBER = {3},
PAGES = {257--283},
ISSN = {0378-8733},
MRCLASS = {92A20 (05C99)},
MRNUMBER = {85g:92019},
MRREVIEWER = {E. C. Johnsen},
}
@book {MR85g:62080,
TITLE = {Multivariate statistische {V}erfahren},
EDITOR = {Fahrmeir, Ludwig and Hamerle, Alfred},
PUBLISHER = {Walter de Gruyter \& Co.},
ADDRESS = {Berlin},
YEAR = {1984},
PAGES = {xiii+796},
ISBN = {3-11-008509-7},
MRCLASS = {62Hxx},
MRNUMBER = {85g:62080},
}
@article {MR85e:62219,
AUTHOR = {Cailliez, Francis},
TITLE = {The analytical solution of the additive constant problem},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {48},
YEAR = {1983},
NUMBER = {2},
PAGES = {305--308},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15 (15A24)},
MRNUMBER = {85e:62219},
MRREVIEWER = {Huynh Huynh},
}
@article {MR85e:62123,
AUTHOR = {de Leeuw, Jan},
TITLE = {Differentiability of {K}ruskal's stress at a local minimum},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {49},
YEAR = {1984},
NUMBER = {1},
PAGES = {111--113},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62H99},
MRNUMBER = {85e:62123},
}
@preamble{
"\def\cprime{$'$} "
}
@book {MR85a:62184,
AUTHOR = {Litvak, B. G.},
TITLE = {Ekspertnaya informatsiya},
NOTE = {Metody polucheniya i analiza. [Methods of collection and
analysis]},
PUBLISHER = {``Radio i Svyaz\cprime''},
ADDRESS = {Moscow},
YEAR = {1982},
PAGES = {184},
MRCLASS = {62P25 (62-07 62H99 90A05 92A25)},
MRNUMBER = {85a:62184},
MRREVIEWER = {B. G. Mirkin},
}
@article {MR84m:62078,
AUTHOR = {Deville, J.-C. and Saporta, G.},
TITLE = {Correspondence analysis, with an extension towards nominal
time series},
JOURNAL = {J. Econometrics},
FJOURNAL = {Journal of Econometrics},
VOLUME = {22},
YEAR = {1983},
NUMBER = {1-2},
PAGES = {169--189},
ISSN = {0304-4076},
CODEN = {JECMB6},
MRCLASS = {62H20},
MRNUMBER = {84m:62078},
}
@book {MR84m:62002,
TITLE = {Classification, pattern recognition and reduction of
dimensionality},
EDITOR = {Krishnaiah, Paruchuri R. and Kanal, Laveen N.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1982},
PAGES = {xxii+903},
ISBN = {0-444-86217-*rX},
MRCLASS = {62-06 (68-06)},
MRNUMBER = {84m:62002},
}
@article {MR84k:92037,
AUTHOR = {HAVEL, T.F. and KUNTZ, I.D. and CRIPPEN, G.M.},
TITLE = {The theory and practice of distance geometry},
JOURNAL = {Bull. Math. Biol.},
FJOURNAL = {Bulletin of Mathematical Biology},
VOLUME = {45},
YEAR = {1983},
NUMBER = {5},
PAGES = {665--720},
ISSN = {0092-8240},
CODEN = {BMBTAP},
MRCLASS = {92A90 (51K99 52A99)},
MRNUMBER = {84k:92037},
MRREVIEWER = {J. E. Valentine},
}
@book {MR84k:62080,
AUTHOR = {Takeuchi, Kei and Yanai, Haruo and Mukherjee, Bishwa Nath},
TITLE = {The foundations of multivariate analysis},
NOTE = {A unified approach by means of projection onto linear
subspaces,
A Halsted Press Book},
PUBLISHER = {John Wiley \&\ Sons Inc.},
ADDRESS = {New York},
YEAR = {1982},
PAGES = {xi+458},
ISBN = {0-85226-964-1},
MRCLASS = {62Hxx (62-02)},
MRNUMBER = {84k:62080},
MRREVIEWER = {W. N. Venables},
}
@article {MR84j:52019,
AUTHOR = {Yang, Lu and Zhang, Jing Zhong},
TITLE = {The concept of the rank of an abstract distance geometry},
JOURNAL = {J. China Univ. Sci. Tech.},
FJOURNAL = {Journal of China University of Science and Technology.
Zhongguo Kexue Jishu Daxue Xuebao},
VOLUME = {10},
YEAR = {1980},
NUMBER = {4},
PAGES = {52--65},
MRCLASS = {52A50 (51K05)},
MRNUMBER = {84j:52019},
}
@book {MR84f:62146,
AUTHOR = {Davison, Mark L.},
TITLE = {Multidimensional scaling},
PUBLISHER = {John Wiley \&\ Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1983},
PAGES = {xiv+242},
ISBN = {0-471-86417-X},
MRCLASS = {62P15 (92A25)},
MRNUMBER = {84f:62146},
}
@book {MR84f:00036,
AUTHOR = {Rapoport, Anatol},
TITLE = {Mathematical models in the social and behavioral sciences},
NOTE = {Based on a translation of the German original},
PUBLISHER = {John Wiley \&\ Sons Inc.},
ADDRESS = {New York},
YEAR = {1983},
PAGES = {xii+507},
ISBN = {0-471-86449-8},
MRCLASS = {00A71 (90-01 92-01)},
MRNUMBER = {84f:00036},
MRREVIEWER = {Fred W. Roush},
}
@book {MR84c:51003,
TITLE = {Problems in discrete geometry, 1980},
EDITOR = {Moser, W. O. J. and Blind, G. and Klee, V. and Rousseau, C.
and Goodman, J. and Monson, B. and Wetzel, J. and Kelly, L. M.
and Purdy, G. and Wilker, J.},
EDITION = {Fifth},
PUBLISHER = {William Moser Department of Mathematics McGill University},
ADDRESS = {Montreal, Que.},
YEAR = {1980},
PAGES = {iv+42},
MRCLASS = {51-02 (05B40 51K05)},
MRNUMBER = {84c:51003},
}
@book {MR84b:00037,
TITLE = {Sistemnye issledovaniya},
EDITOR = {Gvishiani, D. M. and Sadovski{\u\i}, V. N.},
NOTE = {Metodologicheskie problemy. [Methodological problems],
Ezhegodnik 1981. [Yearbook 1981]},
PUBLISHER = {``Nauka''},
ADDRESS = {Moscow},
YEAR = {1981},
PAGES = {384},
MRCLASS = {00A69 (92-06 93-06)},
MRNUMBER = {84b:00037},
}
@book {MR84a:62086,
AUTHOR = {Johnson, Richard Arnold and Wichern, Dean W.},
TITLE = {Applied multivariate statistical analysis},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, N.J.},
YEAR = {1982},
PAGES = {xiii+594},
ISBN = {0-13-041400-X},
MRCLASS = {62H15 (62H25 62H30)},
MRNUMBER = {84a:62086},
MRREVIEWER = {Dennis L. Young},
}
@article {MR83m:62138,
AUTHOR = {Miyano, Hisao and Inukai, Yukio},
TITLE = {Sequential estimation in multidimensional scaling},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {47},
YEAR = {1982},
NUMBER = {3},
PAGES = {321--336},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62L12 (62H99)},
MRNUMBER = {83m:62138},
}
@article {MR83m:62107,
AUTHOR = {Ramsay, J. O.},
TITLE = {Some statistical approaches to multidimensional scaling data},
NOTE = {With discussion and a reply by the author},
JOURNAL = {J. Roy. Statist. Soc. Ser. A},
FJOURNAL = {Journal of the Royal Statistical Society. Series A. General},
VOLUME = {145},
YEAR = {1982},
NUMBER = {3},
PAGES = {285--312},
ISSN = {0035-9238},
CODEN = {JSTAAG},
MRCLASS = {62H99 (62-07)},
MRNUMBER = {83m:62107},
}
@article {MR83j:62156,
AUTHOR = {Takane, Yoshio and Carroll, J. Douglas},
TITLE = {Nonmetric maximum likelihood multidimensional scaling from
directional rankings of similarities},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {46},
YEAR = {1981},
NUMBER = {4},
PAGES = {389--405},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15},
MRNUMBER = {83j:62156},
}
@incollection {MR83j:53072,
AUTHOR = {Berger, Marcel},
TITLE = {Une caract\'erisation purement m\'etrique des vari\'et\'es
riemanniennes \`a courbure constante},
BOOKTITLE = {E. B. Christoffel (Aachen/Monschau, 1979)},
PAGES = {480--492},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1981},
MRCLASS = {53C70 (51K99 53B20)},
MRNUMBER = {83j:53072},
MRREVIEWER = {Paul E. Ehrlich},
}
@book {MR83i:92051,
AUTHOR = {Eckes, Thomas and Ro{\ss}bach, Helmut},
TITLE = {Clusteranalysen},
NOTE = {Kohlhammer Standards Psychologie. [Kohlhammer Standard
Psychology]},
PUBLISHER = {Verlag W. Kohlhammer},
ADDRESS = {Stuttgart},
YEAR = {1980},
PAGES = {124},
ISBN = {3-17-001361-0},
MRCLASS = {92A25 (62H30)},
MRNUMBER = {83i:92051},
}
@book {MR83i:81073,
AUTHOR = {CRIPPEN, G.M.},
TITLE = {Distance geometry and conformational calculations},
PUBLISHER = {Research Studies Press [John Wiley \&\ Sons]},
ADDRESS = {Chichester},
YEAR = {1981},
PAGES = {ii+58},
ISBN = {0-471-27991-9},
MRCLASS = {81G35 (51K05)},
MRNUMBER = {83i:81073},
}
@article {YH38,
author = "G. Young and A.S. Householder",
title = "Discussion of a set of points in terms of their
mutual distances",
journal = "Psychometrika",
year = "1938",
volume = "3",
pages = "19-22"}
@article {MR83h:92080,
AUTHOR = {Young, Forrest W.},
TITLE = {Quantitative analysis of qualitative data},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {46},
YEAR = {1981},
NUMBER = {4},
PAGES = {357--388},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {92A25},
MRNUMBER = {83h:92080},
}
@article {MR83h:92079,
AUTHOR = {Colonius, H. and Schulze, H.-H.},
TITLE = {Tree structures for proximity data},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {34},
YEAR = {1981},
NUMBER = {2},
PAGES = {167--180},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {92A25 (05C05 06A99 90A10)},
MRNUMBER = {83h:92079},
MRREVIEWER = {Fred W. Roush},
}
@book {MR83f:92002,
TITLE = {Normativnye i deskriptivnye modeli prinyatiya reshenii},
EDITOR = {Lomov, B. F. and Krylov, V. Yu. and Krylova, N. V. and Luce,
R. D.},
NOTE = {Papers from the Soviet-American Seminar held in Tbilisi, March
28--April 4, 1979},
PUBLISHER = {``Nauka''},
ADDRESS = {Moscow},
YEAR = {1981},
PAGES = {351},
MRCLASS = {92-06 (92A25)},
MRNUMBER = {83f:92002},
}
@article {MR83d:92110,
AUTHOR = {Lee, Sik Yum and Bentler, P. M.},
TITLE = {Functional relations in multidimensional scaling},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {33},
YEAR = {1980},
NUMBER = {2},
PAGES = {142--150},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {92A25 (62P15)},
MRNUMBER = {83d:92110},
MRREVIEWER = {P. Suppes},
}
@article {MR83c:92103,
AUTHOR = {Smithson, Michael},
TITLE = {Applications of fuzzy set concepts to behavioral sciences},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {2},
YEAR = {1982},
NUMBER = {3},
PAGES = {257--274},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {92A90 (03E72 62H30 68G10)},
MRNUMBER = {83c:92103},
}
@article {MR83a:51024,
AUTHOR = {Gower, J.C.},
TITLE = {{E}uclidean distance geometry},
JOURNAL = {Math. Sci.},
FJOURNAL = {The Mathematical Scientist},
VOLUME = {7},
YEAR = {1982},
NUMBER = {1},
PAGES = {1--14},
ISSN = {0312-3685},
MRCLASS = {51M05 (51K05)},
MRNUMBER = {83a:51024},
MRREVIEWER = {J. Strommer},
}
@book {MR82m:92071b,
AUTHOR = {Legendre, Louis and Legendre, Pierre},
TITLE = {\'{E}cologie num\'erique. {T}ome 2},
NOTE = {La structure des donn\'ees \'ecologiques. [The structure of
ecological data]},
PUBLISHER = {Masson},
ADDRESS = {Paris},
YEAR = {1979},
PAGES = {viii+254 pp. (loose errata)},
ISBN = {2-225-62414-3},
MRCLASS = {92A17 (62P10)},
MRNUMBER = {82m:92071b},
}
@book {MR82m:92071a,
AUTHOR = {Legendre, Louis and Legendre, Pierre},
TITLE = {\'{E}cologie num\'erique. {T}ome 1},
NOTE = {Le traitement multiple des donn\'ees \'ecologiques. [The
multiple treatment of ecological data],
With a preface by Ram\'on Margalef},
PUBLISHER = {Masson},
ADDRESS = {Paris},
YEAR = {1979},
PAGES = {xiv+197 pp. (loose errata)},
ISBN = {2-225-62414-3},
MRCLASS = {92A17 (62P10)},
MRNUMBER = {82m:92071a},
}
@incollection {MR82k:53065,
AUTHOR = {Alexander, S.},
TITLE = {Distance geometry in {R}iemannian manifolds-with-boundary},
BOOKTITLE = {Global differential geometry and global analysis (Berlin,
1979)},
PAGES = {12--18},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
MRCLASS = {53C22},
MRNUMBER = {82k:53065},
MRREVIEWER = {Gudlaugur Thorbergsson},
}
@proceedings {MR82i:53001,
TITLE = {Global differential geometry and global analysis},
BOOKTITLE = {Proceedings of the Colloquium held at the Technical University
of Berlin, Berlin, November 21--24, 1979},
EDITOR = {Ferus, Dirk and K{\"u}hnel, Wolfgang and Wegner, Bernd},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
PAGES = {xi+299},
ISBN = {3-540-10285-X},
MRCLASS = {53-06},
MRNUMBER = {82i:53001},
}
@book {MR82h:62097,
AUTHOR = {Chatfield, Christopher and Collins, Alexander J.},
TITLE = {Introduction to multivariate analysis},
PUBLISHER = {Chapman \&\ Hall},
ADDRESS = {London},
YEAR = {1980},
PAGES = {x+246},
ISBN = {0-412-16030-7},
MRCLASS = {62H99},
MRNUMBER = {82h:62097},
MRREVIEWER = {I. Olkin},
}
@proceedings {MR82f:62004,
TITLE = {Data analysis and informatics},
BOOKTITLE = {Proceedings of the Second International Symposium held in
Versailles, October 17--19, 1979},
EDITOR = {Diday, E. and Lebart, L. and Tomassone, R.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1980},
PAGES = {viii+790},
ISBN = {0-444-86005-3},
MRCLASS = {62-02},
MRNUMBER = {82f:62004},
}
@preamble{
"\def\cprime{$'$} "
}
@proceedings {MR82d:62108,
TITLE = {Klassifikatsiya i klaster},
BOOKTITLE = {Proceedings of an Advanced Seminar held at the University of
Wisconsin, Madison, Wis., May 3--5, 1976},
EDITOR = {Van Ryzin, John},
NOTE = {Translated from the English by P. P. Kol\cprime cov},
PUBLISHER = {``Mir''},
ADDRESS = {Moscow},
YEAR = {1980},
PAGES = {389},
MRCLASS = {62H30},
MRNUMBER = {82d:62108},
}
@book {MR82c:90090,
AUTHOR = {Nijkamp, Peter},
TITLE = {Multidimensional spatial data and decision analysis},
NOTE = {In association with Piet Rietveld, Jaap Spronk, Wouter van
Veenendaal and Henk Voogd},
PUBLISHER = {John Wiley \&\ Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1979},
PAGES = {xii+322},
ISBN = {0-471-27603-0},
MRCLASS = {90C31 (62H20 92A90 94D05)},
MRNUMBER = {82c:90090},
MRREVIEWER = {J. K. Ord},
}
@article {MR82b:92047,
AUTHOR = {Titiev, Robert J.},
TITLE = {A locus problem involving the three-dimensional city-block
metric},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {22},
YEAR = {1980},
NUMBER = {3},
PAGES = {209--217},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (03C68 51F99)},
MRNUMBER = {82b:92047},
}
@article {MR82b:92041,
AUTHOR = {Whitmore, R. C. and Harner, E. J.},
TITLE = {Analyses of multivariately determined community matrices using
cluster analysis and multidimensional scaling},
JOURNAL = {Biometrical J.},
FJOURNAL = {Biometrical Journal},
VOLUME = {22},
YEAR = {1980},
NUMBER = {8},
PAGES = {715--723},
ISSN = {0323-3847},
CODEN = {BIJODN},
MRCLASS = {92A17},
MRNUMBER = {82b:92041},
}
@book {MR82a:62002,
AUTHOR = {Hartmann, Wolfgang},
TITLE = {Geometrische {M}odelle zur {A}nalyse empirischer {D}aten},
PUBLISHER = {Akademie-Verlag},
ADDRESS = {Berlin},
YEAR = {1979},
PAGES = {255},
MRCLASS = {62-01 (62H25 62P25)},
MRNUMBER = {82a:62002},
MRREVIEWER = {Hilmar Drygas},
}
@article {MR81m:62112,
AUTHOR = {Schmid, Friedrich},
TITLE = {\"{U}ber ein {P}roblem der mehrdimensionalen {S}kalierung},
JOURNAL = {Statist. Hefte (N.F.)},
FJOURNAL = {Statistische Hefte. Neue Folge},
VOLUME = {21},
YEAR = {1980},
NUMBER = {2},
PAGES = {140--144},
ISSN = {0039-0631},
CODEN = {STHED9},
MRCLASS = {62H30},
MRNUMBER = {81m:62112},
MRREVIEWER = {Z. {\v{S}}id{\'a}k},
}
@article {MR81k:92063,
AUTHOR = {Klapper, Michael H. and DeBrota, David},
TITLE = {Use of {C}ayley-{M}enger determinants in the calculation of
molecular structures},
JOURNAL = {J. Comput. Phys.},
FJOURNAL = {Journal of Computational Physics},
VOLUME = {37},
YEAR = {1980},
NUMBER = {1},
PAGES = {56--69},
ISSN = {0021-9991},
CODEN = {JCTPAH},
MRCLASS = {92A40 (51K05)},
MRNUMBER = {81k:92063},
MRREVIEWER = {John Cantwell},
}
@book {MR81k:62083,
AUTHOR = {Wilke, J{\"u}rgen},
TITLE = {Bibliographie zu {V}erfahren der multivariaten {S}tatistik,
der mehrdimensionalen {K}lassifikation und ihre {A}nwendungen
in {N}atur- und {G}esellschaftswissenschaften 1901--1975. {I},
{I}{I}},
NOTE = {With an introduction in German, Russian, English and French},
PUBLISHER = {Akademie-Verlag},
ADDRESS = {Berlin},
YEAR = {1978},
PAGES = {1123},
MRCLASS = {62H25 (62H30)},
MRNUMBER = {81k:62083},
}
@article {MR81j:62115,
AUTHOR = {Sibson, Robin},
TITLE = {Studies in the robustness of multidimensional scaling:
perturbational analysis of classical scaling},
JOURNAL = {J. Roy. Statist. Soc. Ser. B},
FJOURNAL = {Journal of the Royal Statistical Society. Series B.
Methodological},
VOLUME = {41},
YEAR = {1979},
NUMBER = {2},
PAGES = {217--229},
ISSN = {0035-9246},
CODEN = {JSTBAJ},
MRCLASS = {62H99 (62P15)},
MRNUMBER = {81j:62115},
MRREVIEWER = {Masashi Okamoto},
}
@book {MR81j:62001,
AUTHOR = {Srivastava, Muni Shanker and Khatri, C. G.},
TITLE = {An introduction to multivariate statistics},
PUBLISHER = {North-Holland},
ADDRESS = {New York},
YEAR = {1979},
PAGES = {xvi+350},
ISBN = {0-444-00302-9},
MRCLASS = {62-01 (62Hxx)},
MRNUMBER = {81j:62001},
MRREVIEWER = {Somesh Das Gupta},
}
@article {MR81i:92028,
AUTHOR = {Shepard, Roger N.},
TITLE = {Multidimensional scaling, tree-fitting, and clustering},
JOURNAL = {Science},
FJOURNAL = {American Association for the Advancement of Science. Science},
VOLUME = {210},
YEAR = {1980},
NUMBER = {4468},
PAGES = {390--398},
ISSN = {0036-8075},
CODEN = {SCIEAS},
MRCLASS = {92A27 (62P15)},
MRNUMBER = {81i:92028},
}
@article {MR81i:62109,
AUTHOR = {Krane, William R.},
TITLE = {Least squares estimation of individual differences in
multidimensional scaling},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {31},
YEAR = {1978},
NUMBER = {2},
PAGES = {193--208},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {62H99},
MRNUMBER = {81i:62109},
MRREVIEWER = {C. Hayashi},
}
@book {MR81h:62003,
AUTHOR = {Mardia, Kantilal Varichand and Kent, John T. and Bibby, John
M.},
TITLE = {Multivariate analysis},
NOTE = {Probability and Mathematical Statistics: A Series of
Monographs and Textbooks},
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {London},
YEAR = {1979},
PAGES = {xv+521},
ISBN = {0-12-471250-9},
MRCLASS = {62-01 (62Hxx)},
MRNUMBER = {81h:62003},
MRREVIEWER = {A. W. Davis},
}
@article {MR81g:92026,
AUTHOR = {Cunningham, James P.},
TITLE = {Free trees and bidirectional trees as representations of
psychological distance},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {17},
YEAR = {1978},
NUMBER = {2},
PAGES = {165--188},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A27 (05C05 62P15)},
MRNUMBER = {81g:92026},
MRREVIEWER = {Harold Law},
}
@incollection {MR81c:62069,
AUTHOR = {de Leeuw, Jan and Heiser, Willem},
TITLE = {Multidimensional scaling with restrictions on the
configuration},
BOOKTITLE = {Multivariate analysis, V (Proc. Fifth Internat. Sympos., Univ.
Pittsburgh, Pittsburgh, Pa., 1978)},
PAGES = {501--522},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1980},
MRCLASS = {62H99 (62-07)},
MRNUMBER = {81c:62069},
MRREVIEWER = {C. Hayashi},
}
@article {MR81c:62068,
AUTHOR = {Kamenski{\u\i}, V. S.},
TITLE = {Methods and models of nonmetric multidimensional scaling
(survey)},
JOURNAL = {Avtomat. i Telemekh.},
FJOURNAL = {Akademiya Nauk SSSR. Avtomatika i Telemekhanika},
YEAR = {1977},
NUMBER = {8},
PAGES = {118--156},
ISSN = {0005-2310},
CODEN = {AVTEAI},
MRCLASS = {62H99 (68B15 90A06 92A25)},
MRNUMBER = {81c:62068},
}
@article {MR81a:62110,
AUTHOR = {Maital, Shlomo},
TITLE = {Multidimensional scaling. {S}ome econometric applications},
JOURNAL = {J. Econometrics},
FJOURNAL = {Journal of Econometrics},
VOLUME = {8},
YEAR = {1978},
NUMBER = {1},
PAGES = {33--46},
ISSN = {0304-4076},
CODEN = {JECMB6},
MRCLASS = {62P20},
MRNUMBER = {81a:62110},
}
@proceedings {MR81a:62004,
TITLE = {Multivariate analysis. {V}},
BOOKTITLE = {Proceedings of the Fifth International Symposium held at the
University of Pittsburgh, Pittsburgh, Pa., June 19--24, 1978},
EDITOR = {Krishnaiah, Paruchuri R.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1980},
PAGES = {x+677},
ISBN = {0-444-85321-9},
MRCLASS = {62-06 (60-06)},
MRNUMBER = {81a:62004},
}
@article {MR80m:62103,
AUTHOR = {Kamenski{\u\i}, V. S.},
TITLE = {A matrix approach to algorithms of nonmetric multidimensional
scaling},
JOURNAL = {Avtomat. i Telemekh.},
FJOURNAL = {Akademiya Nauk SSSR. Avtomatika i Telemekhanika},
YEAR = {1979},
NUMBER = {1},
PAGES = {122--131},
ISSN = {0005-2310},
CODEN = {AVTEAI},
MRCLASS = {62P15 (62-07)},
MRNUMBER = {80m:62103},
MRREVIEWER = {C. W. Chen},
}
@inproceedings {MR80j:05060,
AUTHOR = {Rosenfeld, M.},
TITLE = {Distance geometry and graphs},
BOOKTITLE = {Proceedings of the Ninth Southeastern Conference on
Combinatorics, Graph Theory, and Computing (Florida Atlantic
Univ., Boca Raton, Fla., 1978)},
PAGES = {639--648},
PUBLISHER = {Utilitas Math.},
ADDRESS = {Winnipeg, Man.},
YEAR = {1978},
MRCLASS = {05C10 (51K05)},
MRNUMBER = {80j:05060},
MRREVIEWER = {R. A. Melter},
}
@article {MR80f:62060,
AUTHOR = {Itakura, Hidekiyo and Yamauchi, Toshihiro},
TITLE = {Multidimensional scaling techniques---a survey for
multivariate analysis},
JOURNAL = {Systems and Control},
FJOURNAL = {Systems and Control (Shisutemu to Seigyo)},
VOLUME = {23},
YEAR = {1979},
NUMBER = {8},
PAGES = {433--443},
ISSN = {0374-4507},
CODEN = {SYCNA9},
MRCLASS = {62H25 (62P15)},
MRNUMBER = {80f:62060},
}
@article {MR80c:62075,
AUTHOR = {Mardia, K. V.},
TITLE = {Some properties of classical multi-dimensional scaling},
JOURNAL = {Comm. Statist. A---Theory Methods},
FJOURNAL = {Communications in Statistics. A. Theory and Methods},
VOLUME = {7},
YEAR = {1978},
NUMBER = {13},
PAGES = {1233--1241},
ISSN = {0361-0926},
CODEN = {CSTMDC},
MRCLASS = {62H25 (62-07 62P15)},
MRNUMBER = {80c:62075},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@article {MR80b:92048,
AUTHOR = {Holman, Eric W.},
TITLE = {Completely nonmetric multidimensional scaling},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {18},
YEAR = {1978},
NUMBER = {1},
PAGES = {39--51},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25},
MRNUMBER = {80b:92048},
}
@article {MR80a:54053,
AUTHOR = {Lew, John S.},
TITLE = {Some counterexamples in multidimensional scaling},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {17},
YEAR = {1978},
NUMBER = {3},
PAGES = {247--254},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {54E40 (46N05 54E35)},
MRNUMBER = {80a:54053},
MRREVIEWER = {W. Kuperberg},
}
@proceedings {MR80a:05004,
TITLE = {Proceedings of the {N}inth {S}outheastern {C}onference on
{C}ombinatorics, {G}raph {T}heory, and {C}omputing},
EDITOR = {Hoffman, Frederick and McCarthy, D. and Mullin, Ronald C. and
Stanton, Ralph G.},
NOTE = {Held at Florida Atlantic University, Boca Raton, Fla., January
30--February 2, 1978},
PUBLISHER = {Utilitas Mathematica Publishing Inc.},
ADDRESS = {Winnipeg, Man.},
YEAR = {1978},
PAGES = {x+694 pp. (1 plate)},
ISBN = {0-919628-21-4},
MRCLASS = {05-06 (68E10 94C15)},
MRNUMBER = {80a:05004},
}
@article {MR58:26185,
AUTHOR = {Hubert, Lawrence and Busk, Patricia},
TITLE = {Normative location theory: placement in continuous space},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {14},
YEAR = {1976},
NUMBER = {3},
PAGES = {187--210},
MRCLASS = {92A25 (90B99)},
MRNUMBER = {58 \#26185},
MRREVIEWER = {David N. Burghes},
}
@inproceedings {MR58:20632,
AUTHOR = {Leblebici, H{\"u}seyin},
TITLE = {Measurement of social structure in organizations: an
application in multidimensional scaling},
BOOKTITLE = {Proceedings of Applied Statistics Seminars (Middle East Tech.
Univ., Ankara, 1976/77)},
JOURNAL = {Stud. Develop.},
NUMBER = {Special Issue},
YEAR = {1977},
PAGES = {35--120 (1978)},
MRCLASS = {92A20},
MRNUMBER = {58 \#20632},
}
@book {MR58:13415,
TITLE = {The analysis of survey data. {V}ol. {I}},
EDITOR = {Payne, Clive},
NOTE = {Exploring data structures},
PUBLISHER = {John Wiley \& Sons, London-New York-Sydney},
YEAR = {1977},
PAGES = {xv+273},
ISBN = {0-471-01706-X},
MRCLASS = {62-01 (62D05 62H25 62P15 62P25)},
MRNUMBER = {58 \#13415},
MRREVIEWER = {Graham J. G. Upton},
}
@article {MR58:8120,
AUTHOR = {Rabinowitz, George},
TITLE = {A procedure for ordering object pairs consistent with the
multidimensional unfolding model},
JOURNAL = {Psychometrika},
VOLUME = {41},
YEAR = {1976},
NUMBER = {3},
PAGES = {349--373},
MRCLASS = {62P15},
MRNUMBER = {58 \#8120},
}
@inproceedings {MR58:5398,
AUTHOR = {Howorka, Edward},
TITLE = {A characterization of {P}tolemaic graphs; survey of results},
BOOKTITLE = {Proceedings of the Eighth Southeastern Conference on
Combinatorics, Graph Theory and Computing (Louisiana State
Univ., Baton Rouge, La., 1977)},
PAGES = {355--361. Congressus Numerantium, No. XIX},
PUBLISHER = {Utilitas Math.},
ADDRESS = {Winnipeg, Man.},
YEAR = {1977},
MRCLASS = {05C99},
MRNUMBER = {58 \#5398},
MRREVIEWER = {David C. Kay},
}
@book {MR58:4197,
TITLE = {Proceedings of {A}pplied {S}tatistics {S}eminars},
EDITOR = {Tuncer, Yal{\c{c}}in},
NOTE = {Held at the Middle East Technical University, Ankara, 1976/77,
Stud. Develop. Special Issue {\bf 1977} (1978)},
PUBLISHER = {Middle East Technical University},
ADDRESS = {Ankara},
YEAR = {1978},
PAGES = {i--vii and 1--308},
MRCLASS = {90-06 (62-06)},
MRNUMBER = {58 \#4197},
}
@article {MR58:2536,
AUTHOR = {Arthurs, A. M.},
TITLE = {Geometrical formulation of {H}amiltonian boundary value
problems},
JOURNAL = {J. Math. Anal. Appl.},
VOLUME = {60},
YEAR = {1977},
NUMBER = {2},
PAGES = {483--492},
MRCLASS = {49A99 (35J25)},
MRNUMBER = {58 \#2536},
MRREVIEWER = {K. Najzar},
}
@incollection {MR57:17961,
AUTHOR = {de Leeuw, Jan},
TITLE = {Applications of convex analysis to multidimensional scaling},
BOOKTITLE = {Recent developments in statistics (Proc. European Meeting
Statisticians, Grenoble, 1976)},
PAGES = {133--145},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1977},
MRCLASS = {62H99},
MRNUMBER = {57 \#17961},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@book {MR57:17958,
AUTHOR = {Steinhausen, Detlef and Langer, Klaus},
TITLE = {Clusteranalyse},
NOTE = {Einf\"uhrung in Methoden und Verfahren der automatischen
Klassifikation,
de Gruyter Lehrbuch},
PUBLISHER = {Walter de Gruyter, Berlin-New York},
YEAR = {1977},
PAGES = {206},
ISBN = {3-11-007054-5},
MRCLASS = {62H30 (62-01)},
MRNUMBER = {57 \#17958},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@article {MR57:15580,
AUTHOR = {Lindman, Harold and Caelli, Terry},
TITLE = {Constant curvature {R}iemannian scaling},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {17},
YEAR = {1978},
NUMBER = {2},
PAGES = {89--109},
MRCLASS = {92A25},
MRNUMBER = {57 \#15580},
MRREVIEWER = {Burton H. Voorhees},
}
@article {MR57:10683,
AUTHOR = {Sharma, Ashok Kumar},
TITLE = {Geodetics},
JOURNAL = {An. Univ. Timi\c soara Ser. \c Sti. Mat.},
VOLUME = {12},
YEAR = {1974},
NUMBER = {2},
PAGES = {155--160 (1977)},
MRCLASS = {54E35 (52A50)},
MRNUMBER = {57 \#10683},
MRREVIEWER = {Grattan P. Murphy},
}
@incollection {MR56:16928,
AUTHOR = {Drouet d'Aubigny, G.},
TITLE = {Least squares analysis of ordinal data},
BOOKTITLE = {Recent developments in statistics (Proc. European Meeting
Statisticians, Grenoble, 1976)},
PAGES = {767--774},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1977},
MRCLASS = {62H99 (62P15)},
MRNUMBER = {56 \#16928},
MRREVIEWER = {C. Hayashi},
}
@book {MR56:6944,
TITLE = {Recent developments in statistics},
BOOKTITLE = {Proceedings of the European Meeting of Statisticians held in
Grenoble, 6--11 September, 1976},
EDITOR = {Brodeau, F. and Romier, G. and Van Cutsem, B.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1977},
PAGES = {x+808 pp. ISBN 0-7204-0751-6},
MRCLASS = {62-06 (60-06)},
MRNUMBER = {56 \#6944},
}
@article {MR56:4616,
AUTHOR = {CRIPPEN, G.M.},
TITLE = {A novel approach to calculation of conformation: distance
geometry},
JOURNAL = {J. Computational Phys.},
VOLUME = {24},
YEAR = {1977},
NUMBER = {1},
PAGES = {96--107},
MRCLASS = {82.65 (92A05)},
MRNUMBER = {56 \#4616},
MRREVIEWER = {John Cantwell},
}
@article {MR56:3040,
AUTHOR = {Kruskal, Joseph B.},
TITLE = {Three-way arrays: rank and uniqueness of trilinear
decompositions, with application to arithmetic complexity and
statistics},
JOURNAL = {Linear Algebra and Appl.},
VOLUME = {18},
YEAR = {1977},
NUMBER = {2},
PAGES = {95--138},
MRCLASS = {15A69 (68A20)},
MRNUMBER = {56 \#3040},
MRREVIEWER = {Marvin Marcus},
}
@book {MR56:2221,
TITLE = {Multiple criteria decision making},
EDITOR = {Cochrane, James L. and Zeleny, Milan},
NOTE = {Papers presented at a Seminar held at Capstone House of the
University of South Carolina, Columbia, S.C., Oct. 26--27,
1972},
PUBLISHER = {University of South Carolina Press},
ADDRESS = {Columbia, S. C.},
YEAR = {1973},
PAGES = {xiv+816},
MRCLASS = {90A05},
MRNUMBER = {56 \#2221},
}
@article {MR56:1643,
AUTHOR = {Hubert, Lawrence and Schultz, James},
TITLE = {Quadratic assignment as a general data analysis strategy},
JOURNAL = {British J. Math. Statist. Psychology},
VOLUME = {29},
YEAR = {1976},
NUMBER = {2},
PAGES = {190--241},
MRCLASS = {62P15 (62H30)},
MRNUMBER = {56 \#1643},
}
@incollection {MR56:1615,
AUTHOR = {Chakravarti, I. M.},
TITLE = {Statistical designs from {R}oom's squares with applications},
BOOKTITLE = {Contributions to applied statistics},
PAGES = {223--231. Experientia Supplementum, Vol. 22},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1976},
MRCLASS = {62K10},
MRNUMBER = {56 \#1615},
MRREVIEWER = {E. Seiden},
}
@book {MR56:1517,
editor = {J. Van Ryzin},
TITLE = {Classification and clustering},
BOOKTITLE = {Proceedings of an Advanced Seminar held at the University of
Wisconsin, Madison, Wis., May 3--5, 1976},
NOTE = {Mathematics Research Center Publication, No. 37},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {New York},
YEAR = {1977},
PAGES = {x+467},
MRCLASS = {62-06 (92-06 68-06)},
MRNUMBER = {56 \#1517},
}
@book {MR55:13671,
AUTHOR = {Gnanadesikan, R.},
TITLE = {Methods for statistical data analysis of multivariate
observations},
NOTE = {A Wiley Publication in Applied Statistics},
PUBLISHER = {John Wiley \& Sons, New York-London-Sydney},
YEAR = {1977},
PAGES = {x+311},
MRCLASS = {62H30 (62H25 62H20)},
MRNUMBER = {55 \#13671},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@incollection {MR55:9420,
AUTHOR = {Schader, Martin and Lauwerth, Werner},
TITLE = {Distanzindizes zur mehrdimensionalen {S}kalierung},
BOOKTITLE = {Operations Research Verfahren, Band XXII},
PAGES = {166--175},
PUBLISHER = {Hain},
ADDRESS = {Meisenheim am Glan},
YEAR = {1976},
MRCLASS = {62H99},
MRNUMBER = {55 \#9420},
MRREVIEWER = {Margaret P. Gessaman},
}
@book {MR55:6625,
TITLE = {Statistical methods for digital computers},
EDITOR = {Enslein, Kurt and Ralston, Anthony and Wilf, Herbert S.},
NOTE = {Mathematical Methods for Digital Computers, Vol. III},
PUBLISHER = {Wiley-Interscience [John Wiley \& Sons},
ADDRESS = {Inc.], New York},
YEAR = {1977},
PAGES = {viii+454},
MRCLASS = {62-04},
MRNUMBER = {55 \#6625},
MRREVIEWER = {James E. Gentle},
}
@book {MR54:11655,
AUTHOR = {Bennett, Spencer and Bowers, David},
TITLE = {An introduction to multivariate techniques for social and
behavioural sciences},
PUBLISHER = {Halsted Press [John Wiley \& Sons], New York},
YEAR = {1976},
PAGES = {xii+156},
MRCLASS = {62H25 (62P15)},
MRNUMBER = {54 \#11655},
MRREVIEWER = {C. Hayashi},
}
@book {MR54:8979,
AUTHOR = {Press, S. James},
TITLE = {Applied multivariate analysis},
NOTE = {Series in Quantitative Methods for Decision-Making,
International Series in Decision Processes},
PUBLISHER = {Holt},
ADDRESS = {Rinehart and Winston, Inc., New York},
YEAR = {1972},
PAGES = {xx+521},
MRCLASS = {62HXX},
MRNUMBER = {54 \#8979},
MRREVIEWER = {Somesh Das Gupta},
}
@article {MR54:1526,
AUTHOR = {Shepard, Roger N.},
TITLE = {Representation of structure in similarity data: problems and
prospects},
JOURNAL = {Psychometrika},
VOLUME = {39},
YEAR = {1974},
PAGES = {373--421},
MRCLASS = {62P15 (92A25)},
MRNUMBER = {54 \#1526},
MRREVIEWER = {Robin Sibson},
}
@incollection {MR53:6432,
AUTHOR = {BLUMENTHAL, L.M.},
TITLE = {Four-point properties and norm postulates},
BOOKTITLE = {The geometry of metric and linear spaces (Proc. Conf.,
Michigan State Univ., East Lansing, Mich., 1974)},
PAGES = {1--13. Lecture Notes in Math., Vol. 490},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1975},
MRCLASS = {52A50 (46B99)},
MRNUMBER = {53 \#6432},
MRREVIEWER = {B. B. Phadke},
}
@inproceedings {MR53:6419,
editor = {L.M. Kelly},
TITLE = {The geometry of metric and linear spaces},
BOOKTITLE = {The geometry of metric and linear spaces (Proc. Conf.,
Michigan State Univ., East Lansing, Mich., 1974)},
PAGES = {233--244. Lecture Notes in Math., Vol. 490},
NOTE = {Contributed by Kenneth B. Stolarsky, Andrew Sobczyk, R.
Freese, Victor Klee, Allen Freedman, David Kay, J. J. Seidel,
Tom Sallee, G. D. Chakerian, L. M. Kelly, R. B. Eggleton, A.
S. Fraenkel, Branko Gr\"unbaum, Ralph Alexander, James Chew,
M. Edelstein, J. B. Kruskal, Dorothy Wolfe and Leo Moser},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1975},
MRCLASS = {52-XX},
MRNUMBER = {53 \#6419},
MRREVIEWER = {C. M. Petty},
}
@article {MR53:5310,
AUTHOR = {Steiner, Hans-Georg},
TITLE = {Mathematisierungen, die auf metrische {R}\"aume f\"uhren},
JOURNAL = {Math.-Phys. Semesterber.},
VOLUME = {23},
YEAR = {1976},
NUMBER = {1},
PAGES = {17--58},
MRCLASS = {05-01 (52-01)},
MRNUMBER = {53 \#5310},
MRREVIEWER = {R. J. Bumcrot},
}
@article {MR52:15132,
AUTHOR = {Caristi, James},
TITLE = {Fixed point theorems for mappings satisfying inwardness
conditions},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {215},
YEAR = {1976},
PAGES = {241--251},
MRCLASS = {47H10},
MRNUMBER = {52 \#15132},
MRREVIEWER = {Simeon Reich},
}
@article {MR52:5094,
AUTHOR = {Pieszko, Henry},
TITLE = {Multidimensional scaling in {R}iemannian space},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {12},
YEAR = {1975},
NUMBER = {4},
PAGES = {449--477},
MRCLASS = {92A25},
MRNUMBER = {52 \#5094},
MRREVIEWER = {C. P. Bruter},
}
@book {MR51:14407,
TITLE = {Multivariate statistical methods: among-groups covariation},
EDITOR = {Atchley, William R. and Bryant, Edwin H.},
NOTE = {Benchmark Papers in Systematic and Evolutionary Biology, Vol.
1},
PUBLISHER = {Dowden, Hutchinson\thinspace \&\thinspace Ross, Inc.,
Stroudsburg, Pa.},
YEAR = {1975},
PAGES = {xv+464},
MRCLASS = {62HXX},
MRNUMBER = {51 \#14407},
}
@article {MR50:8897,
AUTHOR = {Bloxom, Bruce},
TITLE = {An alternative method of fitting a model of individual
differences in multidimensional scaling},
JOURNAL = {Psychometrika},
VOLUME = {39},
YEAR = {1974},
PAGES = {365--367},
MRCLASS = {62P15},
MRNUMBER = {50 \#8897},
MRREVIEWER = {N. Giri},
}
@article {MR50:8465,
AUTHOR = {Domiaty, R. Z.},
TITLE = {Metrische {R}\"aume mit einer {E}lementarl\"ange},
JOURNAL = {Monatsh. Math.},
VOLUME = {76},
YEAR = {1972},
PAGES = {1--20},
MRCLASS = {54E99 (83.50)},
MRNUMBER = {50 \#8465},
MRREVIEWER = {H. Treder},
}
@book {MR50:6555,
TITLE = {Contemporary developments in mathematical psychology. {V}ol.
{I}{I}: {M}easurement, psychophysics, and neural information
processing},
BOOKTITLE = {Proceedings of a Symposium, University of Michigan, Ann Arbor,
Mich., 1972},
EDITOR = {Krantz, David H. and Atkinson, Richard C. and Luce, R. Duncan
and Suppes, Patrick},
PUBLISHER = {W. H. Freeman and Co.},
ADDRESS = {San Francisco, Calif.},
YEAR = {1974},
PAGES = {xv+468},
MRCLASS = {92A25},
MRNUMBER = {50 \#6555},
}
@article {MR50:3121,
AUTHOR = {Alexander, Ralph and Stolarsky, Kenneth B.},
TITLE = {Extremal problems of distance geometry related to energy
integrals},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {193},
YEAR = {1974},
PAGES = {1--31},
MRCLASS = {52A50},
MRNUMBER = {50 \#3121},
MRREVIEWER = {G. J. Butler},
}
@article {MR50:1133,
AUTHOR = {Valentine, J. E. and Andalafte, E. Z.},
TITLE = {Intrinsic four point properties which characterize hyperbolic
and {E}uclidean spaces},
JOURNAL = {Bull. Acad. Polon. Sci. S\'er. Sci. Math. Astronom. Phys.},
VOLUME = {21},
YEAR = {1973},
PAGES = {1103--1106},
MRCLASS = {52A50 (50C05)},
MRNUMBER = {50 \#1133},
MRREVIEWER = {F. Bachmann},
}
@article {MR49:10939,
AUTHOR = {Dunkl, Charles F. and Ramirez, Donald E.},
TITLE = {Krawtchouk polynomials and the symmetrization of hypergroups},
JOURNAL = {SIAM J. Math. Anal.},
VOLUME = {5},
YEAR = {1974},
PAGES = {351--366},
MRCLASS = {33A65 (43A85)},
MRNUMBER = {49 \#10939},
MRREVIEWER = {R. A. Askey},
}
@book {MR49:8147,
author = { },
TITLE = {Proceedings of the 39th {S}ession of the {I}nternational
{S}tatistical {I}nstitute, {V}ienna, {A}ugust 20--30, 1973},
NOTE = {Vol. 4: Invited papers,
Bull. Inst. Internat. Statist. {\bf 45} (1973), no. 4},
PUBLISHER = {\"Osterreichisches Statistisches Zentralamt, Vienna},
YEAR = {1973},
PAGES = {1--401},
MRCLASS = {62-06},
MRNUMBER = {49 \#8147},
}
@article {MR49:1628,
AUTHOR = {Sibson, Robin},
TITLE = {Order invariant methods for data analysis},
NOTE = {With discussion by D. G. Kendall, J. C. Gower, G. J. S. Ross,
J. E. Doran, P. A. K. Covey-Crump, G. C. Wall, D. R. Cox, M.
J. Prentice, R. M. Cormack and Carl-Axel Moberg, and a reply
by Robin Sibson},
JOURNAL = {J. Roy. Statist. Soc. Ser. B},
VOLUME = {34},
YEAR = {1972},
PAGES = {311--349},
MRCLASS = {62-02 (62H30)},
MRNUMBER = {49 \#1628},
MRREVIEWER = {A. D. McLaren},
}
@book {MR48:5276,
AUTHOR = {Anderberg, Michael R.},
TITLE = {Cluster analysis for applications},
NOTE = {Probability and Mathematical Statistics, No. 19},
PUBLISHER = {Academic Press [A subsidiary of Harcourt Brace Jovanovich,
Publishers], New York-London},
YEAR = {1973},
PAGES = {xiii+359},
MRCLASS = {62H30 (68A45)},
MRNUMBER = {48 \#5276},
MRREVIEWER = {J. B. Kruskal, Jr.},
}
@article {MR47:10092,
AUTHOR = {ARABIE, P. and BOORMAN, S.A.},
TITLE = {Multidimensional scaling of measures of distance between
partitions},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {10},
YEAR = {1973},
PAGES = {148--203},
MRCLASS = {92A25},
MRNUMBER = {47 \#10092},
MRREVIEWER = {P. Suppes},
}
@article {MR47:9409,
AUTHOR = {Loveland, L. D. and Valentine, J. E.},
TITLE = {Congruent embedding of metric quadruples on a unit sphere},
JOURNAL = {J. Reine Angew. Math.},
VOLUME = {261},
YEAR = {1973},
PAGES = {205--209},
MRCLASS = {50C05},
MRNUMBER = {47 \#9409},
MRREVIEWER = {J. Bohm},
}
@article {MR47:2755,
AUTHOR = {Tucker, Ledyard R.},
TITLE = {Relations between multidimensional scaling and three-mode
factor analysis},
JOURNAL = {Psychometrika},
VOLUME = {37},
YEAR = {1972},
PAGES = {3--27},
MRCLASS = {62H25 (62P15 92A25)},
MRNUMBER = {47 \#2755},
MRREVIEWER = {C. Hayashi},
}
@article {MR46:10163,
AUTHOR = {Bechtel, Gordon G. and Tucker, Ledyard R. and Chang,
Wei-ching},
TITLE = {A scalar product model for the multidimensional scaling of
choice},
JOURNAL = {Psychometrika},
VOLUME = {36},
YEAR = {1971},
PAGES = {369--388},
MRCLASS = {62P15},
MRNUMBER = {46 \#10163},
MRREVIEWER = {M. Atiqullah},
}
@article {MR46:5053,
AUTHOR = {Erd{\H{o}}s, P. and Meir, A. and S{\'o}s, V. T. and Tur{\'a}n,
P.},
TITLE = {On some applications of graph theory. {I}},
JOURNAL = {Discrete Math.},
VOLUME = {2},
YEAR = {1972},
NUMBER = {3},
PAGES = {207--228},
MRCLASS = {94A20 (05C99)},
MRNUMBER = {46 \#5053},
MRREVIEWER = {F. Harary},
}
@article {MR45:2579,
AUTHOR = {Valentine, Joseph E.},
TITLE = {On criteria of {B}lumenthal for inner-product spaces},
JOURNAL = {Fund. Math.},
VOLUME = {72},
YEAR = {1971},
NUMBER = {3},
PAGES = {265--269},
MRCLASS = {52A50 (46C05 54E35)},
MRNUMBER = {45 \#2579},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR44:7438,
AUTHOR = {Valentine, Joseph E. and Wayment, Stanley G.},
TITLE = {Metric transforms and the hyperbolic four-point property},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {31},
YEAR = {1972},
PAGES = {232--234},
MRCLASS = {52.50},
MRNUMBER = {44 \#7438},
MRREVIEWER = {L. M. Kelly},
}
@article {MR43:1052,
AUTHOR = {Wayment, S. G.},
TITLE = {On congruence indices for simple closed curves},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {28},
YEAR = {1971},
PAGES = {199--207},
MRCLASS = {52.50},
MRNUMBER = {43 \#1052},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR42:3678,
AUTHOR = {BLUMENTHAL, L.M.},
TITLE = {Theory and applications of distance geometry},
EDITION = {Second},
PUBLISHER = {Chelsea Publishing Co.},
ADDRESS = {New York},
YEAR = {1970},
PAGES = {xi+347},
MRCLASS = {52.50},
MRNUMBER = {42 \#3678},
}
@incollection {MR40:8096,
AUTHOR = {Trillas Ruiz, E.},
TITLE = {On statistical metrics},
BOOKTITLE = {Proc. Eighth Annual Reunion of Spanish Mathematicians
(Santiago, 1967) (Spanish)},
PAGES = {143--155},
PUBLISHER = {Publ. Inst. ``Jorge Juan'' Mat., Madrid},
YEAR = {1969},
MRCLASS = {60.08},
MRNUMBER = {40 \#8096},
MRREVIEWER = {P. Holgate},
}
@article {MR40:7933,
AUTHOR = {Valentine, Joseph E.},
TITLE = {Hyperbolic spaces and quadratic forms},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {24},
YEAR = {1970},
PAGES = {607--610},
MRCLASS = {50.40},
MRNUMBER = {40 \#7933},
MRREVIEWER = {L. M. Blumenthal},
}
@article {sch35,
AUTHOR = {I.J. Schoenberg},
TITLE = {
Remarks to {M}aurice {F}r\'echet's article ``{S}ur la
d\'efinition axiomatique d'une classe d'espace distanci\'es
vectoriellement applicable sur l'espace de {H}ilbert''
},
JOURNAL = {Ann. Math.},
VOLUME = {36},
YEAR = {1935},
PAGES = {724--732},
}
@article {MR40:1895,
AUTHOR = {Schoenberg, I. J.},
TITLE = {Linkages and distance geometry. {I}{I}. {O}n sets of $n+2$
points in ${E}\sb{n}$ that are most nearly equilateral},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 72 = Indag. Math.},
VOLUME = {31},
YEAR = {1969},
PAGES = {53--63},
MRCLASS = {52.50 (50.00)},
MRNUMBER = {40 \#1895},
MRREVIEWER = {R. J. Bumcrot},
}
@article {MR39:7512,
AUTHOR = {Schoenberg, I. J.},
TITLE = {Linkages and distance geometry},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 72=Indag. Math.},
VOLUME = {31},
YEAR = {1969},
PAGES = {43--52},
MRCLASS = {52.50 (50.00)},
MRNUMBER = {39 \#7512},
MRREVIEWER = {R. J. Bumcrot},
}
@article {MR39:870,
AUTHOR = {Toranzos, Fausto Alfredo},
TITLE = {Immersion of convex metric spaces in ${E}\sp{n}$},
JOURNAL = {Math. Notae},
VOLUME = {21},
YEAR = {1966/1967},
PAGES = {29--53},
MRCLASS = {52.50},
MRNUMBER = {39 \#870},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR37:3452,
AUTHOR = {Freese, Raymond W.},
TITLE = {Criteria for inner product spaces},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {19},
YEAR = {1968},
PAGES = {953--958},
MRCLASS = {52.50},
MRNUMBER = {37 \#3452},
MRREVIEWER = {R. H. Cox},
}
@article {MR36:2046,
AUTHOR = {Perron, Oskar},
TITLE = {Lehrreiches {B}eispiel f\"ur die guten {D}ienste, die die
hyperbolische {G}eometrie ihrer {E}uklidischen {S}chwester
leisten kann},
JOURNAL = {Math. Ann.},
VOLUME = {174},
YEAR = {1967},
PAGES = {100--102},
MRCLASS = {50.40},
MRNUMBER = {36 \#2046},
MRREVIEWER = {L. M. Kelly},
}
@article {MR35:881,
AUTHOR = {Kirk, W. A.},
TITLE = {Congruence orders of complete and compact metric spaces},
JOURNAL = {Simon Stevin},
VOLUME = {40},
YEAR = {1966/1967},
PAGES = {3--6},
MRCLASS = {52.50 (50.00)},
MRNUMBER = {35 \#881},
MRREVIEWER = {G. J. Schellekens},
}
@article {MR35:880,
AUTHOR = {Huff, B. W. and Kirk, W. A.},
TITLE = {A note on equilateral metric triples},
JOURNAL = {Amer. Math. Monthly},
VOLUME = {74},
YEAR = {1967},
PAGES = {288--290},
MRCLASS = {52.50},
MRNUMBER = {35 \#880},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR34:6645,
AUTHOR = {Einhorn, S. J. and Schoenberg, I. J.},
TITLE = {On euclidean sets having only two distances between points.
{I}{I}},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 69=Indag. Math.},
VOLUME = {28},
YEAR = {1966},
PAGES = {489--504},
MRCLASS = {52.50},
MRNUMBER = {34 \#6645},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR34:685,
AUTHOR = {van Lint, J. H. and Seidel, J. J.},
TITLE = {Equilateral point sets in elliptic geometry},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 69=Indag. Math.},
VOLUME = {28},
YEAR = {1966},
PAGES = {335--348},
MRCLASS = {52.50},
MRNUMBER = {34 \#685},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR33:6490,
AUTHOR = {Freese, Raymond W. and Andalafte, Edward Z.},
TITLE = {A characterization of 2-betweenness in 2-metric spaces},
JOURNAL = {Canad. J. Math.},
VOLUME = {18},
YEAR = {1966},
PAGES = {963--968},
MRCLASS = {52.50 (50.48)},
MRNUMBER = {33 \#6490},
MRREVIEWER = {R. H. Rosen},
}
@incollection {MR31:1632,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {A report on coordinate-free differential geometry},
BOOKTITLE = {Col\'oquio Internacional de Geometr\'\i a Diferencial
(Santiago, 1963)},
PAGES = {33--43},
PUBLISHER = {Univ. Santiago, Santiago},
YEAR = {1964},
MRCLASS = {53.95},
MRNUMBER = {31 \#1632},
MRREVIEWER = {A. Kawaguchi},
}
@article {MR30:3555,
AUTHOR = {Shepard, Roger N.},
TITLE = {The analysis of proximities: multidimensional scaling with an
unknown distance function. {I}{I}},
JOURNAL = {Psychometrika},
VOLUME = {27},
YEAR = {1962},
PAGES = {219--246},
MRCLASS = {92.50},
MRNUMBER = {30 \#3555},
MRREVIEWER = {Hanan Rubin},
}
@article {MR29:6958,
AUTHOR = {Kruskal, J. B.},
TITLE = {Nonmetric multidimensional scaling: {A} numerical method},
JOURNAL = {Psychometrika},
VOLUME = {29},
YEAR = {1964},
PAGES = {115--129},
MRCLASS = {92.50 (62.99)},
MRNUMBER = {29 \#6958},
MRREVIEWER = {R. J. Aumann},
}
@article {MR29:6957,
AUTHOR = {Kruskal, J. B.},
TITLE = {Multidimensional scaling by optimizing goodness of fit to a
nonmetric hypothesis},
JOURNAL = {Psychometrika},
VOLUME = {29},
YEAR = {1964},
PAGES = {1--27},
MRCLASS = {92.50 (62.99)},
MRNUMBER = {29 \#6957},
MRREVIEWER = {R. J. Aumann},
}
@article {MR27:6241,
AUTHOR = {Blumenthal, Leonard M. and Freese, Raymond W.},
TITLE = {Local convexity in metric spaces},
JOURNAL = {Math. Notae},
VOLUME = {18},
YEAR = {1962},
PAGES = {15--22 (1962)},
MRCLASS = {52.50},
MRNUMBER = {27 \#6241},
MRREVIEWER = {L. A. Santal{\'o}},
}
@article {MR27:4698,
AUTHOR = {Gulliksen, Harold},
TITLE = {Linear and multidimensional scaling},
JOURNAL = {Psychometrika},
VOLUME = {26},
YEAR = {1961},
PAGES = {9--25},
MRCLASS = {92.50},
MRNUMBER = {27 \#4698},
MRREVIEWER = {P. Suppes},
}
@article {MR25:4019,
AUTHOR = {Silverman, Robert},
TITLE = {A metrization for power-sets with applications to
combinatorial analysis},
JOURNAL = {Canad. J. Math.},
VOLUME = {12},
YEAR = {1960},
PAGES = {158--176},
MRCLASS = {20.95},
MRNUMBER = {25 \#4019},
MRREVIEWER = {A. Sade},
}
@article {MR25:3798,
AUTHOR = {Shepard, Roger N.},
TITLE = {The analysis of proximities: multidimensional scaling with an
unknown distance function. {I}},
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ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A57 (05C50)},
MRNUMBER = {MR1321802 (96a:15025)},
MRREVIEWER = {K. Chandrasekhara Rao},
}
-------------------------------------------start Alfakih papers dec/08
@article {MR2382104,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the dual rigidity matrix},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {428},
YEAR = {2008},
NUMBER = {4},
PAGES = {962--972},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {52C25 (05C50 15A57)},
MRNUMBER = {MR2382104 (2008m:52046)},
}
@article {MR2363550,
AUTHOR = {Alfakih, A.Y. and Wolkowicz, H.},
TITLE = {Some necessary and some sufficient trace inequalities for
{E}uclidean distance matrices},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {55},
YEAR = {2007},
NUMBER = {5},
PAGES = {499--506},
ISSN = {0308-1087},
MRCLASS = {15A45 (15A57)},
MRNUMBER = {MR2363550 (2009a:15069)},
MRREVIEWER = {K. Veseli{\'c}},
}
@article {MR2332317,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On dimensional rigidity of bar-and-joint frameworks},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {155},
YEAR = {2007},
NUMBER = {10},
PAGES = {1244--1253},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {52C25 (05C50 74C20 90C22)},
MRNUMBER = {MR2332317 (2008b:52033)},
}
@article {MR2242734,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the nullspace, the rangespace and the characteristic
polynomial of {E}uclidean distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {416},
YEAR = {2006},
NUMBER = {2-3},
PAGES = {348--354},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57 (51K05 52B35)},
MRNUMBER = {MR2242734 (2007f:15018)},
MRREVIEWER = {Hans Havlicek},
}
@article {MR1869424,
AUTHOR = {Alfakih, A.Y. and Wolkowicz, H.},
TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale
transform},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {340},
YEAR = {2002},
PAGES = {149--154},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48 52B35)},
MRNUMBER = {MR1869424 (2002i:51010)},
}
@article {MR1810094,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On rigidity and realizability of weighted graphs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {325},
YEAR = {2001},
NUMBER = {1-3},
PAGES = {57--70},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57 52A20)},
MRNUMBER = {MR1810094 (2002a:05170)},
MRREVIEWER = {Tiong Seng Tay},
}
@incollection {MR1778240,
AUTHOR = {Alfakih, A.Y. and Wolkowicz, H.},
TITLE = {Matrix completion problems},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {533--545},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (65F30)},
MRNUMBER = {MR1778240},
}
@article {MR1753174,
AUTHOR = {Alfakih, A.Y.},
TITLE = {Graph rigidity via {E}uclidean distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {310},
YEAR = {2000},
NUMBER = {1-3},
PAGES = {149--165},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (52C25 94C15)},
MRNUMBER = {MR1753174 (2001b:05137)},
MRREVIEWER = {J. E. Graver},
}
@article {MR1650463,
AUTHOR = {Alfakih, A.Y. and MURTY, K.G.},
TITLE = {Adjacency on the constrained assignment problem},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {87},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {269--274},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C27 (90C10)},
MRNUMBER = {MR1650463 (99g:90092)},
}
%%-------------------------------------------end Alfakih papers dec/08
@ARTICLE{AEGMWYAB:06,
author = {J. Aspnes and T. Eren and
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YEAR = "2006",
volume = "3",
number = "4",
pages = "360--371",
month = "October",
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@techreport{FrascaMasonPiccoli:09,
AUTHOR = {P. FRASCA and P. MASON and B. PICCOLI},
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YEAR = {2009},
institution = {Universita di Salermo},
note= {http://arxiv.org/abs/0902.2446v1},
address = {Italy}}
@article {MR2457932,
AUTHOR = {Dos Santos Carvalho, R. and Lavor, C. and
Protti, F.},
TITLE = {Extending the geometric build-up algorithm for the
molecular
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JOURNAL = {Inform. Process. Lett.},
FJOURNAL = {Information Processing Letters},
VOLUME = {108},
YEAR = {2008},
NUMBER = {4},
PAGES = {234--237},
ISSN = {0020-0190},
CODEN = {IFPLAT},
MRCLASS = {92C40 (92D20)},
MRNUMBER = {MR2457932},
}
@incollection {MR2206961,
AUTHOR = {Lavor, C.},
TITLE = {On generating instances for the molecular distance
geometry problem},
BOOKTITLE = {Global optimization},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {84},
PAGES = {405--414},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2006},
MRCLASS = {92C40 (65D18 90C90)},
MRNUMBER = {MR2206961 (2006i:92018)},
}
@article {MR1977953,
AUTHOR = {Dong, Q. and Wu, Z.},
TITLE = {A geometric build-up algorithm for solving the molecular
distance geometry problem with sparse distance data},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {26},
YEAR = {2003},
NUMBER = {3},
PAGES = {321--333},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92E10},
MRNUMBER = {MR1977953 (2004b:92046)},
}
@article {MR2302995,
AUTHOR = {WU, D. and WU, Z.},
TITLE = {An updated geometric build-up algorithm for solving the
molecular distance geometry problems with sparse distance
data},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {37},
YEAR = {2007},
NUMBER = {4},
PAGES = {661--673},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92C40 (90C90 92D10)},
MRNUMBER = {MR2302995},
}
@article {MR1878150,
AUTHOR = {Dong, Q. and Wu, Z.},
TITLE = {A linear-time algorithm for solving the molecular distance
geometry problem with exact inter-atomic distances},
NOTE = {Dedicated to Professor Reiner Horst on his 60th birthday},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {22},
YEAR = {2002},
NUMBER = {1-4},
PAGES = {365--375},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C90 (92E10)},
MRNUMBER = {MR1878150},
}
@article {MR1879612,
AUTHOR = {Yajima, Yasutoshi},
TITLE = {Positive semidefinite relaxations for distance geometry
problems},
JOURNAL = {Japan J. Indust. Appl. Math.},
FJOURNAL = {Japan Journal of Industrial and Applied Mathematics},
VOLUME = {19},
YEAR = {2002},
NUMBER = {1},
PAGES = {87--112},
ISSN = {0916-7005},
MRCLASS = {92C40 (90C90)},
MRNUMBER = {MR1879612 (2002k:92012)},
}
@incollection {MR1763275,
AUTHOR = {Tuy, Hoang},
TITLE = {Global optimization methods for location and distance
geometry
problems},
BOOKTITLE = {Progress in optimization ({P}erth, 1998)},
SERIES = {Appl. Optim.},
VOLUME = {39},
PAGES = {3--20},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C26 (65D18 90B85)},
MRNUMBER = {MR1763275 (2001h:90060)},
MRREVIEWER = {James G. Morris},
}
@incollection {MR1758031,
AUTHOR = {An, L.T.H. and Tao, P.D.},
TITLE = {Large scale molecular conformation via the exact distance
geometry problem},
BOOKTITLE = {Optimization ({N}amur, 1998)},
SERIES = {Lecture Notes in Econom. and Math. Systems},
VOLUME = {481},
PAGES = {260--277},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2000},
MRCLASS = {90C59 (65Y10)},
MRNUMBER = {MR1758031 (2001d:90139)},
MRREVIEWER = {N. Trinajsti{\'c}},
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###################################end Miguel refs for survey paper/09
######################### theses and related papers ####################
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###############from Abdo jul/10
@ARTICLE{alf08,
AUTHOR="Alfakih, A. Y.",
TITLE="On the dual rigidity matrix",
JOURNAL=" Linear Algebra Appl.",
VOLUME=428,
PAGES={962--972},
YEAR="2008"}
@ARTICLE{alf10,
AUTHOR="Alfakih, A. Y.",
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AUTHOR="Alfakih, A. Y.",
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YEAR="2008"}
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AUTHOR="Alfakih, A. Y.",
TITLE="On dimensional rigidity of bar-and-joint frameworks",
JOURNAL=" Discrete Appl. Math.",
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PAGES={1244--1253},
YEAR="2007"}
@ARTICLE{aw07,
AUTHOR="Alfakih, A. Y. and H. Wolkowicz",
TITLE="Some necessary and some sufficient trace inequalities
for {E}uclidean distance matrices",
JOURNAL="Linear Mult. Algebra ",
VOLUME= 55,
PAGES={499-506},
YEAR="2007"}
@ARTICLE{alf06b,
AUTHOR="Alfakih, A. Y.",
TITLE="On the nullspace, the rangespace and the characteristic
polynomial of {E}uclidean distance matrices",
JOURNAL=" Linear Algebra Appl.",
VOLUME=416,
PAGES={348--354},
YEAR="2006"}
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AUTHOR="Alfakih, A. Y.",
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NOTE="Research Report, Mathematics and Statistics, University of Windsor",
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AUTHOR="Alfakih, A. Y.",
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YEAR="2002"}
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AUTHOR="Alfakih, A. Y.",
TITLE="On rigidity and realizability of weighted graphs.",
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###############end from Abdo jul/10
###############for the Forbes/Vris paper started aug/11
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###############end for the Forbes/Vris paper started aug/11
.hla.bib 0000600 0010230 0000457 00003337241 12514227001 011735 0 ustar hwolkowi none
# This file contains miscellaneous (mathematical) bib entries
## with emphasis on Optimization and Matrix Theory.
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in this file .master.bib.
####
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
#### as part of:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
###
### I will also include these in the dedicated file .strings.bib
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
####
#### The string definitions are in this file .master.bib
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/master.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
###################################
###################################
###################################
####string definitions start - always in .master.bib file first.
#### i.e. changes are made in this file and copied to .strings.bib
#############
#############
########### definitions from Sturm start here
#### definitions are put at start - others follow below.
@STRING{ SV = "Springer-Verlag" }
@STRING{ MGH = "Mc{G}raw-Hill" }
@STRING{ W = "Wiley" }
@STRING{ JW = "John Wiley" }
@STRING{ WI = "Wiley-Interscience" }
@STRING{ PH = "Prentice-Hall" }
@STRING{ AW = "Addison-Wesley" }
@STRING{ PUP = "Princeton University Press" }
@STRING{ AP = "Academic Press" }
@STRING{ CUP = "Cambridge University Press" }
@STRING{ OUP = "Oxford University Press" }
@STRING{ ESP = "Elsevier Science Publisher B.V." }
@STRING{ KAP = "Kluwer Adademic Publishers" }
@STRING{ NY = "New York" }
@STRING{ B = "Berlin" }
@STRING{ NJ = "New Jersey" }
@STRING{ NH = "North-Holland" }
@STRING{ EIEUR = "Econometric Institute, Erasmus University Rotterdam" }
@STRING{ ROT = "Rotterdam, The Netherlands" }
@STRING{ S = "STURM, J.F."}
@STRING{ SZ = "STURM, J.F. and Zhang, S."}
@STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and ZHANG, S."}
@STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
#############################################
# The following is from V. Balakrishnan on SDP and systems control
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
#############################################
@string{
ijrnc=
{Int.\ J.\ Robust and Nonlinear Control}
}
@string{
acc=
{Proc.\ American Control Conf.}
}
@string{
aut=
{Automatica}
}
@string{
tcst=
{IEEE Trans.\ Control Sys.\ Tech.}
}
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{
ieep=
{IEE Proc.}
}
#############################################
#############################################
##from Bertsimis
#############################################
@string{ICTA = {IEE Proc. -Control Theory Appl.}}
@String{IROS="IEEE Int. Conf. on Intelligent Robot Systems"}
@String{ICRA="Proc. IEEE Int. Conf. on Robotics and Automation"}
@String{IJRR = {Int. J. of Robot. Res.}}
@String{ITSMC ={IEEE Trans. Syst., Man, Cybern.}}
@String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals -
#### changed in master.bib first
@string{toms = "ACM Transactions on Mathematical Software"}
@STRING{aer = "American Economic Review"}
@STRING{ajae = "Americal Journal of Agricultural Economics"}
@STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."}
@STRING{AMERlong = "The American Statistician"}
@STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"}
@string{adm = "Ann. Discrete Math."}
@string{ADMlong = "Annals of Discrete Mathematics"}
@STRING{ams = "Annals of Mathematical Statistics"}
@STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."}
@STRING{ APNUMlong = "Applied Numerical Mathematics"}
@string{bell = "The Bell System Technical Journal"}
@string{ coap = "Comput. Optim. Appl."}
@string{ coa = "Comput. Optim. Appl."}
@string{ COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"}
@string{cacm = "Communications of the ACM"}
@STRING{ cor = "Comput. Oper. Res." }
@STRING{ CORlong = "Computer and Operations Research" }
@string{comp = "Computing"}
STRING{ CRAS = "Compt Rend Acad. Sci." }
@STRING{ CM = "Contemporary Mathematics" }
@STRING{ C = "Cybernetics" }
@STRING{cmj = "Czechoslovak Math. J."}
@STRING{dam = "Discrete Applied Mathematics"}
@STRING{dm = "Discrete Mathematics"}
@STRING{ ECPE = "Eng. Costs and Prod. Econ." }
@string{electjc = "Electronic J. Combinatorics"}
@string{ela = "Electronic J. Linear Algebra"}
@string{elalong = "The Electronic JOURNAL of Linear Algebra"}
@STRING{ejc = "European Journal of Combinatorics"}
@STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@STRING{ glasgow = "Glasgow Math. J."}
@STRING{ glasgowlong = "Glasgow Mathematical Journal"}
@string{jogo = "J. Global Optim."}
@string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"}
@STRING{ IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"}
@string{ijnme = "International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"}
@STRING{ JAMS = "J. Australian Math. Soc."}
@STRING{ JAMSlong = "J. of the Australian Mathematical Society"}
@string{ JCAM = {J. of Comput. Appl. Mathem.}}
@string{ JCAMlong = {J. of Computational and Applied Mathematics}}
@STRING{jacm = "J. Assoc. Comput. Mach."}
@STRING{JACMlong = "Journal of the Association of Computing Machinery"}
@string{jco = "J. Comb. Optim."}
@string{JCOlong = "Journal of Combinatorial Optimization"}
@STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"}
@STRING{joflong= "Journal of Finance"}
@STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and Applications"}
@STRING{ JORS = "J. Oper. Res. Soc." }
@STRING{ JRAM = "J. f{\"u}r die reine und angewandte {M}athematik"}
@STRING{ JRC = "J. of Regional Science" }
@string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and Applications"}
@STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of Standards"}
@STRING{jrssa = "Journal of the Royal Statistical Society: Series~A"}
@string{laa = "Linear Algebra Appl."}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"}
@STRING{ms = "Management Sci."}
@STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" }
@string{mcomp = "Math. Comp."}
@string{MCOMPlong = "Mathematics of Computation"}
@STRING{ MP = "Math. Programming" }
@string{mprog = "Math. Programming"}
@STRING{MPROGlong = "Mathematical Programming"}
@STRING{mp = "Math. Programming"}
@string{MPlong = {Mathematical Programming}}
@STRING{mpa = "Math. Programming, Series A"}
@STRING{mps = "Math. Programming Studies"}
@STRING{mpb = "Math. Programming, Series B"}
@STRING{ MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."}
@STRING{ MORlong = "Mathematics of Operations Research" }
@STRING{mathz = "Math. Z."}
@STRING{ nrlq = "Naval Res. Logist. Quart." }
@STRING{ NRLQlong = "Naval Research Logistics Quarterly" }
@STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"}
@STRING{ OPTI = "Optimization" }
@string{ oms = "Optim. Methods Softw."}
@string{ OPSlong = "Optimization Methods and Software"}
@string{ornl = "Oak Ridge National Laboratory"}
@STRING{orl = "Operations Research Letters"}
@STRING{or = "Operations Research"}
@STRING{jorlong = "Journal of the Operations Research Society"}
@STRING{jor = "Oper. Res."}
@STRING{jors = "Oper. Res."}
@STRING{ ORQ = "Operations Research Quarterly" }
@STRING{pjm = "Pacific Journal of Mathematics"}
@string{pc = "Parallel Computing"}
@STRING{pams = "Proceedings of the American Mathematical Society"}
@STRING{rsue = "Regional Science and Urban Economics"}
@STRING{restud = "Review of Economics Studies"}
@STRING{ SIAM = "SIAM" }
@string{sijam = "SIAM J. Appl. Math."}
@string{SIJAMlong = "SIAM J. ON Applied Mathematics"}
@STRING{siad = "SIAM J. Algebraic Discrete Methods"}
@STRING{SIADlong = "SIAM Journal on Algebraic and Discrete Methods"}
@string{sdma = "SIAM J. Discrete Math."}
@string{SDMAlong = "SIAM Journal on Discrete Mathematics"}
@string{SIAGOPT = "SIAG/OPT Views-and-News"}
@STRING{ SRev = "SIAM Review" }
@STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." }
@STRING{ SJMA = "SIAM J. Math. Anal." }
@string{SJMAA = "SIAM J. Matrix Anal. Appl."}
@STRING{sijc = "SIAM J. on Computing"}
@STRING{SIJClong = "SIAM Journal on Computing"}
@string{sico = "SIAM J. Control Optim."}
@string{SICOlong = "SIAM J. on Control and Optimization"}
@string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and Applications"}
@string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."}
@STRING{SJNAlong = "SIAM J. on Numerical Analysis"}
@string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical Computing"}
@string{sir = "SIAM Review"}
### start strings from Goemans
@string{stoc95 = "Proc. of the 27th {ACM} Symp. on
Theory Comput."}
@string{stoc97 = "Proc. of the 29th {ACM} Symp. on
Theory Comput."}
@string{stoc98 = "Proc. of the 30th {ACM} Symp. on
Theory Comput."}
@string{stoc99 = "Proc. of the 31st {ACM} Symp. on
Theory Comput."}
@string{focs97 = "Proc. 38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on
Disc. Algs."}
### end strings from Goemans
@STRING{tr = "Transportation Research"}
@STRING{ts = "Transportation Science"}
@STRING{tams = "Transactions of the American Mathematical Society"}
@STRING{ TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."}
@STRING{UTILMATHlong = "Utilitas Mathematica"}
########################end of string definitions#########
#######################################
@article{AlKaWo:97,
author = "A. Alfakih and A. Khandani and H. Wolkowicz",
TITLE = {Solving {E}uclidean distance matrix completion problems
via
semidefinite programming},
NOTE = {Computational optimization---a tribute to Olvi
Mangasarian,
Part I},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {12},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {13--30},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C22 (90C25)},
MRNUMBER = {2000e:90042},
MRREVR = {Christian Michelot},
}
@article {Al:94,
author = "F. Alizadeh",
title = "Interior point methods in semidefinite
programming with applications to combinatorial optimization",
journal = siopt,
volume="5",
pages = "13-51",
year = "1995"}
@ARTICLE {BaCa:75,
author = "G.P. Barker and D. Carlson",
title = "Cones of diagonally dominant matrices",
journal = "Pacific J. of Math.",
year = "1975",
volume = "57",
keywords = "faces, cones, geometry-levent",
pages = "15-32"}
@BOOK {BoGhFeBa:94,
author={S. Boyd and L. {El~{G}haoui} and E. Feron and
V. Balakrishnan},
title={Linear Matrix Inequalities
in System and Control Theory},
publisher = {{SIAM}},
month = jun,
address={Philadelphia, PA},
volume = 15,
series={Studies in Applied Mathematics},
year={1994},
ISBN={0-89871-334-X}
}
@BOOK {Ber:73,
author = "A. Berman",
title = "Cones, Matrices and Mathematical Programming",
publisher = "Springer-Verlag",
year = "1973",
keywords = "faces, cones, geometry-levent",
address = "Berlin, New York"}
@incollection {FanBell:63,
author = "R. Bellman and K. Fan",
TITLE = {On systems of linear inequalities in {H}ermitian matrix
variables},
BOOKTITLE = {Convexity, Proc. Sympos. Pure Math., Vol. VII},
Editor = {V.L. Klee},
PAGES = {1--11},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1963},
MRCLASS = {15.50},
MRNUMBER = {MR0154876 (27 \#4820)},
MRREVIEWER = {B. J. Stone},
}
@article {MR87m:15045,
AUTHOR = {Barker, G. P. and Laidacker, M. and Poole,
G.},
TITLE = {Projectionally exposed cones},
JOURNAL = {SIAM J. Algebraic Discrete Methods},
FJOURNAL = {Society for Industrial and Applied Mathematics. J. on
Algebraic and Discrete Methods},
VOLUME = {8},
YEAR = {1987},
NUMBER = {1},
PAGES = {100--105},
ISSN = {0196-5212},
CODEN = {SJAMDU},
}
@article {BurMontZhang:02,
author = "S. Burer and R.D.C. Monteiro and Y. Zhang",
TITLE = {Solving a class of semidefinite programs via nonlinear
programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {93},
YEAR = {2002},
NUMBER = {1, Ser. A},
PAGES = {97--122},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C30 90C51)},
MRNUMBER = {MR1912269 (2003d:90071)},
MRREVIEWER = {Jos F. Sturm},
}
@techreport {Bohnen:48, author = "F. Bohnenblust",
title = "Joint positiveness of matrices",
note = "Manuscript",
institution = "UCLA",
year = "1948"
}
@article{bw3,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Regularizing the abstract convex program},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {83},
YEAR = {1981},
NUMBER = {2},
PAGES = {495--530},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C48 (90C25)},
MRNUMBER = {83d:90236},
MRREVR = {S. Zlobec},
}
@article{bw2,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterization of optimality for the abstract convex
program
with finite-dimensional range},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {4},
PAGES = {390--411},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C48},
MRNUMBER = {83i:90156},
MRREVR = {R. L. Graves},
}
@ARTICLE {DymGoh:81,
author = "H. Dym and I. Gohberg",
title = "Extensions of band matrices with band inverses",
journal = laa,
year = "1981",
volume = "36",
pages = "1-24"}
@ARTICLE{fay-97b,
author = "L. Faybusovich",
title = "Euclidean {J}ordan Algebras and Interior-Point Algorithms",
journal = "Positivity",
volume = "1",
number = "4",
pages = "331-357",
publisher = "Kluwer Academic Publishers",
year = "1997"
}
@article {FuKoKaNa:99a,
author = "K. Fukuda and M. Kojima and K. Murota and K. Nakata",
TITLE = {Exploiting sparsity in semidefinite programming via matrix
completion. {I}. {G}eneral framework},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {11},
YEAR = {2000/01},
NUMBER = {3},
PAGES = {647--674 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C22 (15A48 90C51)},
MRNUMBER = {2002a:90051},
MRREVIEWER = {Franz Rendl},
}
@article{GrJoSaWo:84,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
@incollection{GoemRendhandb:99,
author = "Goemans, M.X. and Rendl, F.",
title = "Combinatorial optimization",
booktitle = "HANDBOOK OF SEMIDEFINITE PROGRAMMING:
Theory, Algorithms, and Applications",
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
year = "2000",
}
@article {MR2000881,
AUTHOR = {Henrion, D. and Lasserre, J.B.},
TITLE = {Glopti{P}oly: global optimization over polynomials with
{M}atlab and {S}e{D}u{M}i},
JOURNAL = {ACM Trans. Math. Software},
FJOURNAL = {Association for Computing Machinery. Transactions on
Mathematical Software},
VOLUME = {29},
YEAR = {2003},
NUMBER = {2},
PAGES = {165--194},
ISSN = {0098-3500},
CODEN = {ACMSCU},
MRCLASS = {90C26 (90-04)},
MRNUMBER = {2 000 881},
}
@incollection {MR21:633,
AUTHOR = {Goldman, A.J. and Tucker, A.W.},
TITLE = {Theory of linear programming},
YEAR = {1956},
BOOKTITLE = {Linear inequalities and related systems},
PAGES = {53--97},
NOTE = {Annals of Mathematics Studies, no. 38},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
}
@InProceedings{GoWi:93,
author = "M.X. Goemans and D.P. Williamson",
title = ".878-Approximation Algorithms for {MAX} {CUT} and
{MAX} 2{SAT}",
booktitle = "ACM Symposium on Theory of Computing (STOC)",
year = "1994",
}
@Article{GoeWil94,
author = "M.X. GOEMANS and D.P. WILLIAMSON",
title = "New 3/4-Approximation Algorithms for the Maximum
Satisfiability Problem",
journal = "SIAM J. on Discrete Mathematics",
volume = "7",
year = "1994",
}
@article {Goemans,
author = "M.X. Goemans and D.P. Williamson",
title = "Improved approximation algorithms for maximum
cut and satisfiability problems using semidefinite programming",
journal = jacm,
pages ="1115--1145",
volume ="42(6)",
SEMCAT = {COMB},
HREF = {ftp://theory.lcs.mit.edu/pub/people/goemans/maxcut-JACM.ps},
year = "1995"}
@BOOK{HoJo:91,
AUTHOR = "R.A. Horn and C.R. Johnson",
TITLE = {Topics in matrix analysis},
NOTE = {Corrected reprint of the 1991 original},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1994},
PAGES = {viii+607},
ISBN = {0-521-46713-6},
MRCLASS = {15-02 (15-01 65-02 65Fxx)},
MRNUMBER = {95c:15001},
}
@incollection{HelmOustr:00,
author = "C. Helmberg and F. Oustry",
title = "Bundle methods to minimize the maximum eigenvalue
function",
booktitle = "HANDBOOK OF SEMIDEFINITE PROGRAMMING:
Theory, Algorithms, and Applications",
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
year = "2000",
}
@BOOK{Hol:75,
AUTHOR = "R.B. Holmes",
TITLE = "Geometric Functional Analysis and its Applications",
PUBLISHER = "Springer-Verlag",
ADDRESS = "Berlin",
YEAR = 1975
}
@article {HeReVaWo:93,
author = "C. Helmberg and F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {An interior-point method for semidefinite
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {97f:90086},
MRREVR = {Tam{\'a}s Terlaky},
}
@BOOK {Ja:86,
author = "J. Jahn",
title = "Mathematical Vector Optimization in Partially
Ordered Linear Spaces",
publisher = "Peter Lang",
year = "1986",
address = "Frankfurt am Main"}
@BOOK {Jame:70,
author = "G. Jameson",
title = "Ordered linear spaces",
publisher = "Springer-Verlag",
year = "1970",
address = "New York"}
@PHDTHESIS {Jin:05,
author = "H. Jin",
title = "Scalable Sensor Localization Algorithms for
Wireless Sensor Networks",
school = "Toronto University",
year = "2005",
address = "Toronto, Ontario, Canada"}
@incollection {MR1059486,
AUTHOR = {Johnson, C.R.},
TITLE = {Matrix completion problems: a survey},
BOOKTITLE = {Matrix theory and applications (Phoenix, AZ, 1989)},
PAGES = {171--198},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1990},
MRCLASS = {15-02 (15A03 15A15 15A57 15A60)},
MRNUMBER = {1 059 486},
}
@article{KrMuReVaWo:98,
author = " S. Kruk and M. Muramatsu and
F. Rendl and R.J. Vanderbei and H. Wolkowicz",
title = "The {G}auss-{N}ewton direction
in linear and semidefinite programming",
JOURNAL = {Optimization Methods and Software},
VOLUME = {15},
YEAR = {2001},
NUMBER = {1},
pages = {1-27}
}
@article {KoShHa:94,
author = "M. Kojima and S. Shindoh and S. Hara",
TITLE = {Interior-point methods for the monotone semidefinite linear
complementarity problem in symmetric matrices},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {1},
PAGES = {86--125},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C33 (90C05 90C25)},
MRNUMBER = {97m:90088},
MRREVIEWER = {Jos F. Sturm},
}
@inproceedings {infieldsLaur:97,
author = "M. Laurent",
title = "A tour d'horizon on positive semidefinite
and {E}uclidean distance matrix completion problems",
booktitle="Topics in Semidefinite and Interior-Point Methods",
editors="P. Pardalos and H. Wolkowicz",
publisher="American Mathematical Society",
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
pages = "51-76",
volume = "18",
address="Providence, Rhode Island",
year="1998" }
@ARTICLE {Lo:79,
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@techreport{ReWo:04,
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#######################################end of current additions
#######################################
%AAAAAAAAAAAA
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author = "R.H. BYRD and D.C. LIU and R.H. Nocedal",
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institution = "Optimization Technology
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title = "A Trust Region Method Based on Interior Point
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number = "Report OTC 96/02",
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@MISC {ByrSchnZhan:88,
author = "R.H. BYRD and R.B. SCHNABEL and X. ZHANG",
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note = "To appear in Proceedings of the Sixth Army Conference
on Applied Mathematics and Computing, June 1988"}
@MISC {ByrSchnZhan:89,
author = "R.H. BYRD and R.B. SCHNABEL and X. ZHANG",
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note = "To appear in Proceedings of the Fourth Conference on
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Monterey, CA, Mar. 1989"}
%CCCCCCC
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%DDDDDDDDDDDDD
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author = "J.W. DANIEL",
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author = "J.M. DANSKIN",
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@BOOK {Dant:63,
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title = "Linear programming",
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year = "1991",
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title = "Modifying a sparse {C}holesky factorization",
institution = "Computer and Information
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address= "University of Florida, Gainsville",
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author = "G. DEBREU",
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author = "J.P. DELAHAYE and J. DENEL",
title = "Equivalences des continuit\'{e}s des applications
multivoques dans les espaces topologiques",
institution = "Laboratoire de Calcul, University of Lille I",
year = "1978",
number = "111"}
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AUTHOR = {DELFS, H. and KNEBUSCH, M.},
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JOURNAL = {Math. Z.},
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year = "1982",
volume = "19",
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AUTHOR = "R.S. DEMBO and S.C. EISENSTAT and T.
STEIHAUG",
TITLE = "Inexact {{N}ewton} methods",
JOURNAL = sinum,
YEAR = 1982,
VOLUME = 19,
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MONTH = apr,
PAGES = "190--212"
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AUTHOR = "R.S. DEMBO and T. STEIHAUG",
TITLE = "Truncated {Newton} algorithms for large scale
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JOURNAL = mp,
YEAR = 1983,
VOLUME = 26,
NUMBER = 72,
PAGES = "190--212"
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@TECHREPORT{dembo83a,
AUTHOR = "R. S. DEMBO",
TITLE = "A primal truncated newton algorithm with application
to large-scale nonlinear network optimization",
INSTITUTION = "Yale University",
YEAR = 1983,
TYPE = "Working Paper: Series B",
NUMBER = 72,
ADDRESS = "Yale School of Organization and Management"
}
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author = "S.N. DEMING and S.L. MORGAN",
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year = "1973",
volume = "45",
number = "3",
pages = "278-283"}
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author = "S.N. DEMING and S.L. MORGAN",
title = "Simplex optimization of analytical chemical methods",
journal = "Anal. Chem.",
year = "1974",
volume = "46",
number = "9",
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author = "V.F. DEM'JANOV and V.N. MALOZEMOV",
title = "On the theory of nonlinear minimax problems",
journal = "Russian Math. Soc.",
year = "1971",
volume = "26",
pages = "57-115"}
@BOOK {DemMa:74qq,
author = "V.F. DEM'JANOV and V.N. MALOZEMOV",
title = "On the theory of nonlinear minimax problems",
city = "New York - Toronto",
year = "1974",
publisher = "John Wiley and Sons"}
@BOOK {DemMa:74,
author = "V.F. DEM'JANOV and V.N. MALOZEMOV",
title = "Introduction to Minimax",
city = "New York",
year = "1974",
note = "translated from Russian",
publisher = "Dover Publications"}
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author = "V.F. DEM'JANOV and A.M. RUBINOV",
title = "On quasidifferentiable functionals",
journal = "Soviet Math. Dokl.",
year = "1980",
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@article {MR2001h:65036,
AUTHOR = {DEMMEL, J.W.},
TITLE = {Accurate singular value decompositions of structured matrices},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
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VOLUME = {21},
YEAR = {1999},
NUMBER = {2},
PAGES = {562--580 (electronic)},
ISSN = {1095-7162},
MRCLASS = {65F10 (65F20)},
MRNUMBER = {2001h:65036},
MRREVIEWER = {Stefano Serra Capizzano},
}
@article {MR2000j:65044,
AUTHOR = {DEMMEL, J.W. and GU, M. and EISENSTAT, S. and
SLAPNI{\v{C}}AR, I. and VESELI{\'C}, K. and
DRMA{\v{C}}, Z.},
TITLE = {Computing the singular value decomposition with high relative
accuracy},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
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YEAR = {1999},
NUMBER = {1-3},
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ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F15 (15A18 65G99)},
MRNUMBER = {2000j:65044},
MRREVIEWER = {Jan Z{\'{\i}}tko},
}
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AUTHOR = {DEMMEL, J.W.},
TITLE = {Steve {S}male and the geometry of ill-conditioning},
BOOKTITLE = {From Topology to Computation: Proceedings of the Smalefest
(Berkeley, CA, 1990)},
PAGES = {305--316},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1993},
MRCLASS = {65Y20 (65R30)},
MRNUMBER = {94m:65212},
}
@article {MR94h:65044,
AUTHOR = {DEMMEL, J.W. and GRAGG, W.},
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FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {185},
YEAR = {1993},
PAGES = {203--217},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F30 (15A18)},
MRNUMBER = {94h:65044},
}
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AUTHOR = {DEMMEL, J.W.},
TITLE = {The componentwise distance to the nearest singular matrix},
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VOLUME = {13},
YEAR = {1992},
NUMBER = {1},
PAGES = {10--19},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F35},
MRNUMBER = {92k:65079},
}
@incollection {MR91m:65124,
AUTHOR = {DEMMEL, J.W.},
TITLE = {Nearest defective matrices and the geometry of
ill-conditioning},
BOOKTITLE = {Reliable numerical computation},
SERIES = {Oxford Sci. Publ.},
PAGES = {35--55},
PUBLISHER = {Oxford Univ. Press},
ADDRESS = {New York},
YEAR = {1990},
MRCLASS = {65F35},
MRNUMBER = {91m:65124},
}
@article {MR88m:65066,
AUTHOR = {DEMMEL, J.W.},
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and constrained total least squares problems},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {24},
YEAR = {1987},
NUMBER = {1},
PAGES = {199--206},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {65F20 (15A09 15A12)},
MRNUMBER = {88m:65066},
MRREVIEWER = {Mario Arioli},
}
@article {MR88i:15014,
AUTHOR = {DEMMEL, J.W.},
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problem},
JOURNAL = {Numer. Math.},
FJOURNAL = {Numerische Mathematik},
VOLUME = {51},
YEAR = {1987},
NUMBER = {3},
PAGES = {251--289},
ISSN = {0029-599X},
CODEN = {NUMMA7},
MRCLASS = {15A12 (15A42 15A45 65F35)},
MRNUMBER = {88i:15014},
MRREVIEWER = {Frank Uhlig},
}
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AUTHOR = {DEMMEL, J.W.},
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JOURNAL = {J. Complexity},
FJOURNAL = {Journal of Complexity},
VOLUME = {3},
YEAR = {1987},
NUMBER = {2},
PAGES = {201--229},
ISSN = {0885-064X},
MRCLASS = {65F35 (12D10)},
MRNUMBER = {88h:65091},
MRREVIEWER = {Henry Wolkowicz},
}
@book {MR98m:65001,
AUTHOR = {DEMMEL, J.W.},
TITLE = {Applied numerical linear algebra},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1997},
PAGES = {xii+419},
ISBN = {0-89871-389-7},
MRCLASS = {65-01 (65Fxx)},
MRNUMBER = {98m:65001},
MRREVIEWER = {William W. Hager},
}
@techreport{deka:84,
author = "J.W. DEMMEL and B. KAGSTR{\"O}M",
year = "1984",
title = "Stable Eigendecompositions of Matrix Pencils",
institution = "Institute of Information Processing, University
of Umea",
type = "Report",
number = "UMINF-118.84",
kwds = "nla, geig, matrix pencil"
}
@incollection {MR99b:90129,
AUTHOR = {DEMPE, S.},
TITLE = {On generalized differentiability of optimal solutions in
nonlinear parametric optimization},
BOOKTITLE = {Mathematical programming with data perturbations},
PAGES = {47--63},
PUBLISHER = {Dekker},
ADDRESS = {New York},
YEAR = {1998},
MRCLASS = {90C31 (49J52)},
MRNUMBER = {99b:90129},
MRREVR = {D. Klatte},
}
@incollection {MR98e:90180,
AUTHOR = {DEMPE, S.},
TITLE = {On generalized differentiability of optimal solutions
and its
application to an algorithm for solving bilevel
optimization
problems},
BOOKTITLE = {Recent advances in nonsmooth optimization},
PAGES = {36--56},
PUBLISHER = {World Sci. Publishing},
ADDRESS = {River Edge, NJ},
YEAR = {1995},
MRCLASS = {90C31 (90D65)},
MRNUMBER = {98e:90180},
MRREVR = {Stefan Scholtes},
}
@article {MR94d:90062,
AUTHOR = {DEMPE, S.},
TITLE = {Directional differentiability of optimal solutions under
{S}later's condition},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {59},
YEAR = {1993},
NUMBER = {1, Ser. A},
PAGES = {49--69},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C31 (49J52)},
MRNUMBER = {94d:90062},
MRREVR = {Alexander Shapiro},
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@ARTICLE {Dem:72,
author = "A.P. DEMPSTER",
title = "Covariance selections",
journal = "Biometrics",
year = "1972",
volume = "28",
pages = "157-175"}
@INPROCEEDINGS {Dennel:77,
author = "J. DENNEL",
title = "On the continuity of point-to-set map with applications
to optimization",
booktitle = "Proceedings of the 2nd Symposium on Operations Research, Aachen",
year = "1977"}
@INCOLLECTION {Denn:71,
author = "J.E. {DENNIS Jr.}",
title = "Toward a unified convergence theory for {N}ewton-like
methods",
booktitle = "Nonlinear Functional Analysis and Applications",
publisher = "Academic Press",
year = "1971",
editor = "L.B. Rall",
address = "New York, NY"}
@INCOLLECTION {Denn:73,
author = "J.E. {DENNIS Jr.}",
title = "Some computational techniques for the nonlinear
least squares problem",
booktitle = "Numerical Solutions of Systems of Nonlinear Equations",
publisher = "Academic Press",
year = "1973",
editor = "G.D. Byrne and C.A. Hall",
pages = "157-183",
address = "New York, NY"}
@INCOLLECTION {Denn:77,
author = "J.E. {DENNIS Jr.}",
title = "Nonlinear least squares and equations",
booktitle = "The State of the Art in Numerical Analysis",
publisher = "Academic Press",
year = "1977",
editor = "D. Jacobs",
pages = "269-312",
address = "London"}
@INCOLLECTION {Denn:78,
author = "J.E. {DENNIS Jr.}",
title = "A brief introduction to quasi-{N}ewton methods",
booktitle = "Numerical Analysis",
publisher = "AMS",
year = "1978",
editor = "G.H. Golub and J. Oliger",
pages = "19-52",
address = "Providence, Rhode Island"}
@INPROCEEDINGS {Denn:84,
author = "J.E. {DENNIS Jr.}",
title = "A user's guide to nonlinear optimization algorithms",
booktitle = "Proceedings of the IEEE, vol. 72 \#12",
year = "1984"}
@ARTICLE {DennGaWe:81a,
author = "J.E. {DENNIS Jr.} and D.M. GAY and R.E. WELSCH",
title = "An adaptive nonlinear least-squares algorithm",
journal = "TOMS",
year = "1981",
volume = "7",
pages = "348-368"}
@ARTICLE {DennGaWe:81b,
author = "J.E. {DENNIS Jr.} and D.M. GAY and R.E. WELSCH",
title = "Algorithm 573 {NL2SOL} - {A}n adaptive nonlinear
least-squares algorithm [{E}4]",
journal = "TOMS",
year = "1981",
volume = "7",
pages = "369-383"}
@ARTICLE {DennMar:82,
author = "J.E. {DENNIS Jr.} and E.S. MARWIL",
title = "Direct secant updates of matrix factorizations",
journal = "Math. Comp.",
year = "1982",
volume = "38",
pages = "459-474"}
@ARTICLE {DennMei:79,
author = "J.E. {DENNIS Jr.} and H.H. MEI",
title = "Two new unconstrained optimization algorithms
which use function and gradient values",
journal = "J. Optim. Theory Appl.",
year = "1979",
volume = "28",
pages = "453-482"}
@ARTICLE {DennMo:74,
author = "J.E. {DENNIS Jr.} and J.J. MOR\'{E}",
title = "A characterization of superlinear convergence
and its application to quasi-{N}ewton methods",
journal = "Math. Comp.",
year = "1974",
volume = "28",
pages = "549-560"}
@ARTICLE {DennMo:77,
author = "J.E. {DENNIS Jr.} and J.J. MOR\'{E}",
title = "Quasi-{N}ewton methods, motivation and theory",
journal = "SIAM Review",
year = "1977",
volume = "19",
pages = "46-89"}
@techreport{DennStei:98,
author = "J.E. DENNIS and T. STEIHAUG",
year = "1998",
title = "A {F}erris-{M}angasarian technique applied to linear least
squares problems",
institution = "Rice University",
type = "CRPC Report",
keywords = "least squares, parallel",
number = "MS41" }
@ARTICLE {DennSch:79,
author = "J.E. {DENNIS Jr.} and R.B. SCHNABEL",
title = "Least change secant updates for quasi-{N}ewton methods",
journal = "SIAM Review",
year = "1979",
volume = "21",
pages = "443-459"}
@INCOLLECTION {DennSch:81,
author = "J.E. {DENNIS Jr.} and R.B. SCHNABEL",
title = "A new derivation of symmetric and positive definite
secant updates",
booktitle = "Nonlinear Programming 4",
publisher = "Academic Press",
year = "1981",
editor = "O.L. Mangasarian and R.R. Meyer and S.M. Robinson",
pages = "167-199",
address = "New York, NY"}
@BOOK {DennSch:83,
AUTHOR = {{DENNIS Jr.}, J.E. and SCHNABEL, R.B.},
TITLE = {Numerical methods for unconstrained optimization and
nonlinear
equations},
NOTE = {Corrected reprint of the 1983 original},
SERIES = {Classics in Applied Mathematics},
VOLUME = {16},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1996},
PAGES = {xvi+378},
ISBN = {0-89871-364-1},
}
@TECHREPORT {DennSch:87,
author = "J.E. {DENNIS Jr.} and R.B. SCHNABEL",
title = "A view of unconstrained optimization",
institution = "Department of Computer Science, University of
Colorado",
year = "1987",
number = "CU-CS-376-87",
address = "Boulder, CO",
note = "To appear in Handbooks in Operations Research and
Management Science. Handbook 1: Optimization.
G.L. Nemhauser, A.H.G. Rinnooy Kan and M.J. Todd,
editors"}
@TECHREPORT {DennShVu:85,
author = "J.E. {DENNIS Jr.} and S. SHENG and P.H. VU",
title = "A memoryless augmented {G}auss-{N}ewton method
for nonlinear least-squares problems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1985",
number = "TR85-1",
address = "Houston, TX"}
@ARTICLE {DennTap:76,
author = "J.E. {DENNIS Jr.} and R.A. TAPIA",
title = "Supplementary terminology for nonlinear iterative
methods",
journal = "SIGNUM Newsletter",
year = "1976",
volume = "11",
number = "4",
pages = "4-6"}
@ARTICLE {DennWal:81,
author = "J.E. {DENNIS Jr.} and H.F. WALKER",
title = "Convergence theorems for least-change secant update
methods",
journal = "SIAM J. Numer. Anal.",
year = "1981",
volume = "18",
pages = "949-987"}
@TECHREPORT {DennWal:83,
author = "J.E. {DENNIS Jr.} and H.F. WALKER",
title = "Inaccuracy in quasi-{N}ewton methods: local improvement
theorems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1983",
number = "TR83-11",
address = "Houston, TX"}
@ARTICLE {DennWal:85,
author = "J.E. {DENNIS Jr.} and H.F. WALKER",
title = "Least-change sparse secant update methods with
inaccurate secant conditions",
journal = "SIAM J. Numer. Anal.",
year = "1985",
volume = "22",
pages = "760-778"}
@INCOLLECTION {DennWoo:87,
author = "J.E. {DENNIS Jr.} and D.J. WOODS",
title = "Optimization and microcomputers: {T}he {N}elder-{M}ead
simplex algorithm",
booktitle = "New Computing Environments: Microcomputers in
Large-Scale Computing",
publisher = "SIAM",
year = "1987",
editor = "A. Wouk",
pages = "116-122",
address = "Philadelphia"}
@TECHREPORT {DennHeinkVic:95,
author = "J.E. {DENNIS Jr.} and M. HEINKENSCHLOSS and L.N.
VICENTE",
title = "Trust-region interior-point SQP algorithms for a
class of nonlinear programming problems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1995",
number = "CRPC-TR95512",
address = "Houston, TX"}
@ARTICLE {DenRoSwa:77,
author = "M.B. DENTON and M.W. ROUTH and P.A. SWARTZ",
title = "Performance of the super modified {S}implex",
journal = "Anal. Chem.",
year = "1977",
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number = "9",
pages = "1422-1428"}
@BOOK {Deuf:96,
author = "P. DEUFLHARD",
title = "{N}ewton Techniques for Highly Nonlinear Problems -
Theory and Algorithms",
publisher = "Academic Press,Inc.",
note = "(To be published)",
year = "1996"}
@incollection {MR96e:46027,
AUTHOR = {DEUTSCH, F.},
TITLE = {The angle between subspaces of a {H}ilbert space},
BOOKTITLE = {Approximation theory, wavelets and applications (Maratea,
1994)},
SERIES = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
VOLUME = {454},
PAGES = {107--130},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1995},
MRCLASS = {46C05 (47A05 65J05)},
MRNUMBER = {96e:46027},
}
@ARTICLE {DeDe:88,
author = "P. DEWILDE and E.F.A. DEPRETTERE",
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journal = "Operator Theory: Advances and Applications",
year = "1988",
volume = "29",
publisher = "Birkhauser Verlag Basel",
pages = "97-116"}
@article {MR95h:90102,
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minimization problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science, Management
and
Engineering},
VOLUME = {5},
YEAR = {1994},
NUMBER = {4},
PAGES = {359--370},
ISSN = {0925-5001},
CODEN = {JGOPEO},
}
@article{int:Dikin1,
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volume = "174",
year = "1967",
pages = "747--748",
note = "Translated in~: {\em Soviet Mathematics Doklady}, 8:674--675,
1967"
}
@article {Di,
AUTHOR = {DINKELBACH, W.},
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YEAR = {1967},
PAGES = {492--498},
MRCLASS = {90.58},
MRNUMBER = {39 #3819},
}
@ARTICLE {DipGri:79,
author = "G. DIPILLO and L. GRIPPO",
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%EEEEEEEEEEEEE
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%FFFFFFFFF
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TITLE = {State of the art in global optimization},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Computational methods and applications,
Papers from the conference held at Princeton University,
Princeton, New Jersey, April 28--30, 1995},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {1996},
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ISBN = {0-7923-3838-3},
MRCLASS = {90-06 (65K05 90C30)},
MRNUMBER = {97a:90004},
}
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TITLE = {State of the art in global optimization: computational
methods
and applications},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Papers from the conference held at Princeton University,
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ADDRESS = {Dordrecht},
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}
@book {MR96f:90005,
TITLE = {State of the art in global optimization: computational
methods
and applications},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Selected papers from the conference held at Princeton
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J. Global Optim. {\bf 7} (1995), no. 4},
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MRCLASS = {90-02 (65K05 90-06 90C30)},
MRNUMBER = {96f:90005},
}
@book {MR95d:90006,
TITLE = {Conference on {C}omputational {M}ethods in {G}lobal
{O}ptimization. {I}{I}},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Papers from the conference held at Princeton University,
Princeton, New Jersey, May 10--11, 1991,
J. Global Optim. {\bf 2} (1992), no. 3},
PUBLISHER = {Kluwer Academic Publishers Group},
ADDRESS = {Dordrecht},
YEAR = {1992},
PAGES = {i--iv and 229--311},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90-06 (65K05 90C30)},
MRNUMBER = {95d:90006},
}
@book {MR95d:90005,
TITLE = {Conference on {C}omputational {M}ethods in {G}lobal
{O}ptimization. {I}},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Papers from the conference held at Princeton University,
Princeton, New Jersey, May 10--11, 1991,
J. Global Optim. {\bf 2} (1992), no. 1},
PUBLISHER = {Kluwer Academic Publishers Group},
ADDRESS = {Dordrecht},
YEAR = {1992},
PAGES = {iii--vi and 1--112},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90-06 (90C30)},
MRNUMBER = {95d:90005},
}
@book {MR92i:90010,
TITLE = {Recent advances in global optimization},
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MRNUMBER = {2001a:90001},
MRREVIEWER = {Harold P. Benson},
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%GGGGGGGGGG
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MRCLASS = {65F22 (65J20)},
MRNUMBER = {2000k:65080},
MRREVIEWER = {Otmar Scherzer},
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discretizations of ordinary differential equations",
institution = "Department of Mathematics, Southern Methodist
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%HHHHHHHH
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MRCLASS = {90C05},
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title = "Minimizing a quadratic over a sphere",
institution = "University of Florida",
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VOLUME = {12},
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NUMBER = {1-3},
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institution = "Department of Mathematical Sciences, Rice University",
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number = "CRPC-TR94372",
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%IIIIIIIIIIIII
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%JJJJJJJJJJJJ
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%KKKKKKKKKKKK
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%LLLLLLLLLLLL
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%MMMMMMMMMMMM
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month = mar,
year = "2001",
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%NNNNNNNNNNNNNNNNNNNNN
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%OOOOO
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%PPPPPPPPPPPPP
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SERIES = {DIMACS Series in Discrete Mathematics and Theoretical
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title=" Alternative Iterative Primal-Dual
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number="Report 2003-05",
address="Venezuela",
URL="http://www.cesma.usb.ve",
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MRNUMBER = {99i:90069},
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institution = "Institut fur Diskrete Mathematik, Universitat Bonn",
year = "1991",
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author = "L. PORTUGAL and M.G.C. RESENDE
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keywords = "interior point, primal-dual",
year = "1994",
address = "Coimbra, Portugal"}
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author = "J.J. JUDICE and J. PATRICIO and
L.F. PORTUGAL and M.G.C. RESENDE
and G. VEIGA",
title = "A study of preconditioners for network interior
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institution = "Universidade de Coimbra",
keywords = "interior point, primal-dual",
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address = "Coimbra, Portugal"}
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AUTHOR = {J{\'U}DICE, J.J. and PATRICIO, J. and
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CODEN = {CPPPEF},
MRCLASS = {90C51 (65F10 90B10)},
MRNUMBER = {2004a:90118},
MRREVIEWER = {Volker Kaibel},
}
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institution = "Department of Mathematical Sciences, Rice University",
year = "1983",
number = "TR83-29",
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number = "2",
pages = "155-162"}
@INCOLLECTION {Pow:69,
author = "M.J.D. POWELL",
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problems",
booktitle = "Optimization",
publisher = "Academic Press",
year = "1969",
editor = "R. Fletcher",
pages = "283-298",
address = "New York, NY"}
@INCOLLECTION {Pow:70a,
author = "M.J.D. POWELL",
title = "A hybrid method for nonlinear equations",
booktitle = "Numerical Methods for Nonlinear Algebraic Equations",
publisher = "Gordon \& Breach",
year = "1970",
editor = "P. Rabinowitz",
pages = "87-114",
address = "London"}
@INCOLLECTION {Pow:70b,
author = "M.J.D. POWELL",
title = "A new algorithm for unconstrained optimization",
booktitle = "Nonlinear Programming",
publisher = "Academic Press",
year = "1970",
editor = "J.B. Rosen and O.L. Mangasarian and K. Ritter",
pages = "31-65",
address = "New York, NY"}
@INCOLLECTION {Pow:70c,
author = "M.J.D. POWELL",
title = "A {F}ortran subroutine for solving systems of
nonlinear algebraic equations",
booktitle = "Numerical Methods for Nonlinear Algebraic Equations",
publisher = "Gordon \& Breach",
year = "1970",
editor = "P. Rabinowitz",
pages = "115-149",
address = "London"}
@INCOLLECTION {Pow:75,
author = "M.J.D. POWELL",
title = "Convergence properties of a class of minimization
algorithms",
booktitle = "Nonlinear Programming 2",
publisher = "Academic Press",
year = "1975",
editor = "O.L. Mangasarian and R.R. Meyer and S.M. Robinson",
pages = "1-27",
address = "New York, NY"}
@INCOLLECTION {Pow:76,
author = "M.J.D. POWELL",
title = "Some global convergence properties of a variable
metric algorithm without exact line searches",
booktitle = "Nonlinear Programming",
publisher = "AMS",
year = "1976",
editor = "R. Cottle and C. Lemke",
pages = "53-72",
address = "Providence, Rhode Island"}
@INCOLLECTION {Pow:77a,
author = "M.J.D. POWELL",
title = "A fast algorithm for nonlinearly constrained
optimization calculations",
booktitle = "Lecture notes in Mathematics, Numerical Analysis,
Dundee 1977",
publisher = "Springer-Verlag",
year = "1978",
editor = "G.A. Watson",
pages = "144-157"}
@TECHREPORT {Pow:77b,
author = "M.J.D. POWELL",
title = "Constrained optimization by a variable metric method",
institution = "University of Cambridge",
year = "1977",
type = "DAMTP Report",
number = "1977/NA6",
address = "Cambridge, England"}
@INCOLLECTION {Pow:78,
author = "M.J.D. POWELL",
title = "The convergence of variable metric methods for
nonlinearly constrained optimization problems",
booktitle = "Nonlinear Programming 3",
publisher = "Academic Press",
year = "1978",
editor = "O.L. Mangasarian and R.R. Meyer and S.M. Robinson",
pages = "27-63",
address = "New York, NY"}
@INCOLLECTION {Pow:81a,
author = "M.J.D. POWELL",
title = "An upper triangular matrix method for quadratic
programming",
booktitle = "Nonlinear Programming 4",
publisher = "Academic Press",
year = "1981",
pages = "1-24",
address = "New York, NY"}
@ARTICLE {Pow:81b,
author = "M.J.D. POWELL",
title = "A note on quasi-{N}ewton formulae for sparse second
derivative matrices",
journal = "Math. Prog.",
year = "1981",
volume = "20",
pages = "144-151"}
@TECHREPORT {Pow:83,
author = "M.J.D. POWELL",
title = "General algorithms for discrete nonlinear
approximation calculations",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
year = "1983",
type = "DAMTP Report",
number = "1983/NA2",
address = "Cambridge, England"}
@ARTICLE {Pow:84a,
author = "M.J.D. POWELL",
title = "On the global convergence of trust region algorithms
for unconstrained minimization",
journal = "Math. Prog.",
year = "1984",
volume = "29",
pages = "297-303"}
@TECHREPORT {Pow:84b,
author = "M.J.D. POWELL",
title = "The performance of two subroutines for constrained
optimization on some difficult test problems",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
year = "1984",
type = "DAMTP Report",
number = "1984/NA6",
address = "Cambridge, England"}
@ARTICLE {Pow:86,
author = "M.J.D. POWELL",
title = "How bad are the {BFGS} and {DFP} methods when the
objective function is quadratic",
journal = "Math. Prog.",
year = "1986",
volume = "34",
pages = "34-47"}
@TECHREPORT {Pow:92,
author = "M.J.D. POWELL",
title = "Overview of constrained optimization",
institution = "Siam Conference on Optimization",
year = "1992",
type = "Introductory Address",
address = "Chicago, Ill."}
@incollection {Pow:97,
AUTHOR = {POWELL, M. J. D.},
TITLE = {The use of band matrices for second derivative
approximations
in trust region algorithms},
BOOKTITLE = {Advances in nonlinear programming (Beijing, 1996)},
PAGES = {3--28},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1998},
MRCLASS = {90C30 (65F30)},
MRNUMBER = {99g:90133},
MRREVR = {Yin Zhang},
}
@techreport{powell2,
AUTHOR = "M.J.D. POWELL",
TITLE = "Trust region calculations revisited",
NOTE = "Presented at the 17th Biennial Conference on Numerical
Analysis
(Dundee)",
TYPE = "Report",
NUMBER = "DAMTP 1997/NA18",
INSTITUTION = "Cambridge University",
YEAR = "1997",
}
@ARTICLE {PowToi:79,
author = "M.J.D. POWELL and PH.L. TOINT ",
title = "On the estimation of sparse {H}essian matrices",
journal = "SIAM J. Numer. Anal.",
year = "1979",
volume = "16",
pages = "1060-1074"}
@TECHREPORT {PowYua:83,
author = "M.J.D. POWELL and Y. YUAN",
title = "Conditions for superlinear convergence in
$l_{1}$ and $l_{\infty}$ solutions of overdetermined
nonlinear equations",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
year = "1983",
type = "DAMTP Report",
number = "1983/NA8",
address = "Cambridge, England"}
\@ARTICLE {Po:88,
author = "D.L. POWERS",
title = "Graph partitioning by eigenvectors",
journal = laa,
year = "1988 ",
volume = "101",
pages = "121-133"}
@TECHREPORT {Prat:77,
author = "J.W. PRATT",
title = "When to stop a quasi-{N}ewton search for a maximum
likelihood estimate",
institution = "Harvard School of Business",
year = "1977",
number = "WP 77-16"}
@book {Puk:93,
author = "F. PUKELSHEIM",
TITLE = {Optimal Design of Experiments},
SERIES = {Wiley Series in Probability and Mathematical Statistics:
Probability and Mathematical Statistics},
NOTE = {A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1993},
PAGES = {xxvi+454},
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%QQQQQQQQQQQQQQQ
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MRREVIEWER = {Khalil Mouallif},
}
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MRNUMBER = {1 923 715},
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address = "New Haven, CT"}
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@ARTICLE {SaLe:90,
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TYPE = "Report",
INSTITUTION = "Centre for Process Systems Engineering, Imperial
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YEAR = "1998",
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@article{ssb,
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institution = "Department of Operations Research, Stanford University",
year = "1982",
number = "SOL 82-4",
address = "Stanford, CA"}
@PHDTHESIS {Schna:77,
author = "R.B. SCHNABEL",
title = "Analysing and improving quasi-{N}ewton methods
for unconstrained optimization",
school = "Department of Computer Science, Cornell University",
year = "1977",
address = "Ithaca, NY",
note = "Also available as TR-77-320"}
@ARTICLE {Schna:78a,
author = "R.B. SCHNABEL",
title = "Minimum norm symmetric quasi-{N}ewton updates restricted
to subspaces",
journal = "Math. Comp.",
year = "1978",
pages = "829-837"}
@ARTICLE {Schna:78b,
author = "R.B. SCHNABEL",
title = "Optimal conditioning in the convex class of rank-two
updates",
journal = "Math. Prog.",
year = "1978",
pages = "247-260"}
@TECHREPORT {Schna:78c,
author = "R.B. SCHNABEL",
title = "Q-superlinear convergence of {Biggs'} method and
related methods for unconstrained optimization",
institution = "Department of Computer Science, University of
Colorado",
year = "1978",
number = "CU-CS-133-78",
address = "Boulder, CO"}
@TECHREPORT {Schna:78d,
author = "R.B. SCHNABEL",
title = "On the {Q}-superlinear convergence of self-scaling
quasi-{N}ewton methods",
institution = "Department of Computer Science, University of
Colorado",
year = "1978",
number = "CU-CS-144-78",
address = "Boulder, CO"}
@INCOLLECTION {Schna:79,
author = "R.B. SCHNABEL",
title = "Developing modular software for unconstrained
optimization",
booktitle = "Performance Evaluation of Numerical Software",
publisher = "North-Holland",
year = "1979",
editor = "L.D. Fosdick",
pages = "245-251",
address = "Amsterdam"}
@ARTICLE {Schna:82a,
author = "R.B. SCHNABEL",
title = "Determining feasibility of a set of nonlinear
inequality constraints",
journal = "Math. Programming Studies",
year = "1982",
volume = "16",
pages = "137-148"}
@INCOLLECTION {Schna:82b,
author = "R.B. SCHNABEL",
title = "Comments on evaluating algorithms and codes for
mathematical programming",
booktitle = "Evaluating Mathematical Programming Techniques",
publisher = "Springer-Verlag",
year = "1982",
editor = "J.M. Mulvey",
pages = "166-169",
address = "Berlin"}
@INCOLLECTION {Schna:82c,
author = "R.B. SCHNABEL",
title = "Unconstrained Optimization in 1981",
booktitle = "Nonlinear Optimization 1981",
publisher = "Academic Press",
year = "1982",
editor = "M.J.D. Powell",
pages = "3-16",
address = "London"}
@TECHREPORT {Schna:82d,
author = "R.B. SCHNABEL",
title = "Finite difference derivatives - theory and practice",
institution = "National Bureau of Standards",
year = "1982"}
@ARTICLE {Schna:83a,
author = "R.B. SCHNABEL",
title = "Forcing sparsity by projecting with respect to a
non-diagonally weighted {F}robenius norm",
journal = "Math. Prog.",
year = "1983",
volume = "25",
pages = "125-129"}
@INCOLLECTION {Schna:83b,
author = "R.B. SCHNABEL",
title = "Conic methods for unconstrained minimization and
tensor methods for nonlinear equations",
booktitle = "Mathematical Programming, The State of the Art",
publisher = "Springer-Verlag",
year = "1983",
editor = "A. Bachem and M. Grotschel and B. Korte",
pages = "417-438",
address = "Berlin"}
@TECHREPORT {Schna:83c,
author = "R.B. SCHNABEL",
title = "Quasi-{N}ewton methods using multiple secant
equations",
institution = "Department of Computer Science, University of
Colorado",
year = "1983",
number = "CU-CS-247-83",
address = "Boulder, CO"}
@INCOLLECTION {Schna:85,
author = "R.B. SCHNABEL",
title = "Parallel computing in optimization",
booktitle = "Computational Mathematical Programming",
publisher = "Springer-Verlag",
year = "1985",
editor = "K. Schittkowski",
pages = "357-381",
address = "Berlin"}
@ARTICLE {Schna:87,
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journal = "Computer Methods in Applied Mechanics and Engineering",
year = "1987",
volume = "64",
pages = "537-552"}
@TECHREPORT {Schna:88a,
author = "R.B. SCHNABEL",
title = "Sequential and parallel methods for unconstrained
optimization",
institution = "Department of Computer Science, University of
Colorado",
year = "1988",
number = "CU-CS-414-88",
address = "Boulder, CO",
note = "To appear in book of plenary and survey talks from
13th International Conference on Mathematical
Programming, Tokyo, Japan, Aug. 1988"}
@INPROCEEDINGS {Schna:88b,
author = "R.B. SCHNABEL",
title = "Why are all us parallel numerical analysts doing parallel
software tools?",
booktitle = "Proceedings of IBM/NSF Workshop on Opportunities and
Constraints of Parallel Computing",
year = "1988"}
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\@INCOLLECTION{Zo:88,
AUTHOR = "H. SCHRAMM and J. ZOWE",
TITLE = "A Combination of the Bundle approach and the
Trust Region Concept",
BOOKTITLE = "Advances in Mathematical Optimization",
PUBLISHER = "Akademie Verlag Berlin",
YEAR = 1988,
EDITOR = "J. Guddat et al."
}
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AUTHOR = "H. SCHRAMM and J. ZOWE",
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Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results",
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PAGES = "121-152"
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AUTHOR = "H. SCHRAMM and J. ZOWE",
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Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results",
JOURNAL = siopt,
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YEAR = 1992,
PAGES = "121-152"}
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year = "1979"}
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year = "1984",
type = "Working Paper",
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year = "1978",
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AUTHOR = "BARNARD, S. T. and SIMON, H. D.",
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Bisection
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INSTITUTION = "NASA Ames Research Center",
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NUMBER = "RNR-092-033",
MONTH = "November",
NOTE = "(To appear in Concurrency: Practice and Experience)",
YEAR = "1992"}
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MRCLASS = {65.35},
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@article {MR40:6760,
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author = "D.C. SORENSEN",
title = "Updating the symmetric indefinite factorization
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school = "University of California at San Diego",
year = "1977"}
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author = "D.C. SORENSEN",
title = "Updating the symmetric indefinite factorization
with applications in a modified {N}ewton's method",
institution = "Argonne National Labs",
year = "1977",
number = "ANL-77-49",
address = "Argonne, IL"}
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author = "D.C. SORENSEN",
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year = "1980",
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sparse {H}essian",
journal = "SIGNUM Newsletter",
year = "1981",
volume = "16",
pages = "8-10"}
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volume = "19",
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author = "D.C. SORENSEN",
title = "Trust region methods for unconstrained minimization",
booktitle = "Nonlinear Optimization 1981",
publisher = "Academic Press",
year = "1982",
editor = "M.J.D. Powell",
address = "London"}
@article {Sor:94,
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institution = "Yale University",
year = "1980",
type = "SOM Technical Report",
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author = "T. STEIHAUG",
title = "The conjugate gradient method and trust region
in large scale optimization",
institution = "Department of Mathematical Sciences, Rice University",
year = "1981",
number = "TR81-1",
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PAGES = {391--417},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {49J52 (15A18)},
MRNUMBER = {96c:49031},
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SERIES = {NATO Adv. Sci. Inst. Ser. E Appl. Sci.},
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%TTTTTTTTTTTTTTTTTTTT
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%UUUUUUUUUUUUUU
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%VVVVVVVVV
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% WWWWWWWWWWWWWW
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%XXXXXXXXXXXXXXXXXXXXXXXXXXX
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%YYYYYYYYYYYYYYY
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institution = "Department of Applied Mathematics and Theoretical
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institution = "Department of Applied Mathematics and Theoretical
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journal = "Computing",
volume = 23,
pages = "309-331"
}
@article{kn:water,
author = "W. MURRAY and M.H. WRIGHT",
year = 1982,
title = {Computation of the Search Direction
in Constrained Optimization Algorithms},
journal = "Math. Prog. Study",
volume = 16,
pages = "62-83"
}
@article{kn:nocedal,
author = "J. Nocedal and M.L. Overton",
year = 1985,
title = { Projected {H}essian Updating Algorithms
For Nonlinearly Constrained Optimization},
journal = "SIAM J. Numer. Anal.",
volume =22,
pages = "821-850"
}
@book {MR2001b:90002,
AUTHOR = {Nocedal, J. and WRIGHT, S.J.},
TITLE = {Numerical optimization},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1999},
PAGES = {xxii+636},
ISBN = {0-387-98793-2},
MRCLASS = {90-01 (49Mxx 65K05 90-02 90C30)},
MRNUMBER = {2001b:90002},
MRREVIEWER = {Michael C. Ferris},
}
@article{kn:ow,
author = "M. R. Osborne and G. A. Watson",
year = 1968,
title = {An Algorithm for Minimax Approximation in the Nonlinear Case},
journal = "Computing J.",
volume = 12,
pages = " 63-68 "
}
@article{kn:ow2,
author = "M. R. Osborne and G. A. Watson",
year = 1969,
title = {A Note on Singular Minimax Approximation Problem},
journal = "J. Math. Anal. and Appl.",
volume = 25,
pages = "692-709"
}
@incollection{kn:overton,
author = "M.L. Overton",
year = 1982,
title = { Algorithms for Nonlinear $l_1$ and $l_{\infty}$ Fitting},
booktitle= "Nonlinear Optimization 1981",
editor = " M. J. D. Powell.",
note = "NATO conference
series"
}
@article{kn:pow1,
author = "M. J. D. POWELL",
year = 1978,
title = { Algorithms for Nonlinear Constraints That Use {Lagrangian}
Functions},
journal = "Math. Prog.",
volume = 14
}
@incollection{kn:pow2,
author = "POWELL, M. J. D.",
year = 1978,
title = {The Convergence of Variable Metric Methods for Nonlinearly
Constrained Optimization Calculations},
booktitle = "Nonlinear Programming 3",
editor = "O.L. Mangasrian, R. R. Meyer and S. M.
Robinson",
publisher ="Academic Press, London and New York",
pages = "27-63"
}
@incollection{kn:powell2,
author = "POWELL, M. J. D.",
year = 1978,
title = {
A Fast Algorithm for Nonlinearly Constrained Optimization Calculations,
},
editor =
"G.A. Watson" ,
booktitle = " Numerical Analysis, Lecture Notes in Mathematics,
no. 630",
publisher = " Springer Verlag",
pages ="144-157"
}
@book{kn:powell,
author = "POWELL, M. J. D.",
year = 1981,
title = {Approximation Theory and Methods},
publisher =" Cambridge University Press"
}
@article{kn:rice1,
author = "J. R. Rice",
year = 1964,
title = {On the Existence and Characterisation of Best Nonlinear
{Tchebyshev} Approximation},
journal = "Tran. Am. Math. Soc.",
volume = 110,
pages = "88-97"
}
@book{kn:rice0,
author = "J. R. Rice",
year = 1964,
title = { The Approximation of Functions 1, Linear Theory},
publisher = "Addison-Wesley"
}
@book{kn:rice2,
author = "J. R. Rice",
year = 1969,
title = {The Approximation of Functions 2, Nonlinear Theory},
publisher = "Addison-Wesley"
}
@inproceedings{kn:stf,
author = "Stiefel, E. L. ",
year = 1959,
title = { Numerical Methods of {Tchebycheff} Approximation},
booktitle = "Proceedings of a symposium",
organization= " math. research center",
publisher = "Univ. of Wisconsin Press"
}
@article{kn:torn,
author = "L. Tornheim",
year = 1950,
title = {On N-parameter Families of Functions and Associated Convex Functions},
journal = "Trans. Amer. Math. Soc.",
volume = 69,
pages = "457-467"
}
@book{kn:val,
author = "S. Vajda",
year = 1961,
title = mprog,
publisher = " Addison-Wesley"
}
@article{kn:bdmd,
author = "J. W. Bandler and P. A. McDobald",
year = 1969,
title = {Optimization of Microwave Networks by Razor Research},
journal = "IEEE Trans. Microwave Theory Tech.",
volume = 17,
pages = "552-562"
}
@article{kn:watson76,
author = "Watson, G. A.",
year = 1976,
title = {A Method for Calculating Best Non-linear {Chebyshev} Approximations},
journal = "J. Inst. Math. Appl.",
volume = 18,
pages = "351-360"
}
@article{kn:wat,
author = " Watson, G. A.",
year = 1979,
title = {The Minimax Solution of an Overdetermined System of Non-linear
Equations},
journal = "J. Inst. Math. Appl.",
volume = 23,
pages = "167-180"
}
@article{kn:wmf,
author = "R. S. Womersley and R. FLETCHER",
title = {An Algorithm for Composite Nonsmooth Optimization Problems},
journal = "J. Opt. Theory and Applis.",
volume = 48,
year = 1986,
pages ="493-523"
}
@article{kn:cheby,
author = "Chebyshev",
title = " \em Sur les questions de minimum qui se rattachent \`{a}
la r\'{e}pr\'{e}sentation approximative des fonctions",
journal = " Oeuvres",
volume = 1,
address = " St. Petersburg",
year = 1899,
pages = "273-378"
}
@article{kn:mo,
author = "W. Murray and M.L. Overton",
title = {A Projected {Lagrangian} Algorithm for Nonlinear Minimax Optimization},
journal = "SIAM. J. Sci. Stat. Comput.",
volume = 1,
year = 1980,
pages = " 345-370"
}
@book{kn:watson3,
author = "G. A. Watson",
title = " Approximation Theory and Numerical Methods",
publisher = "John Wiley",
year = 1980
}
@book{f,
author = "R. FLETCHER",
year = 1987,
title = "Practical Methods of Optimization",
edition = "second",
publisher = "Wiley-Interscience"
}
@article{w,
author = "P. Wolfe",
title = {A technique for resolving degeneracy in linear programming},
journal = "SIAM Journal",
volume = 11,
year = 1963,
pages = "205-211"
}
@article{ro,
author = "D. M. Ryan and M. R. Osborne",
title = {On the solution of highly degenerate linear programmes},
journal = mprog,
volume = 41,
year = 1988,
pages = "385-392"
}
% addbib - additions from Serge Kruk for China proceedings
@TECHREPORT {St:93,
author = "G.W. STEWART",
title = "On Infinitely Many Algorithms for Solving Equations",
institution = "University of Maryland",
year = "1993",
number = "TR-92-121",
note = "Translation of the 1870 Schr{\"o}der paper"}
@TECHREPORT {PY:86,
author = "M.J.D. POWELL and Y. YUAN",
title = "A trust region algorithm for equality
constrained optimization",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
year = "1986",
number = "DAMTP 1986/NA2",
address = "Cambridge, England"}
@ARTICLE {VM:90,
author = "G.G. VINING and R.H. MYERS",
title = "Combining Taguchi and Response Surface
Philosophies: A Dual Response Approach" ,
journal = "Journal of Quality Technology",
year = "1990",
volume = "22",
pages = "38-45"}
@ARTICLE {Da:49,
author = "G.B. DANTZIG",
title = "Programming in a linear structure",
journal = "Econometrica",
year = "1949",
volume = "17"}
@ARTICLE {KuTu:51,
author = "H.W. KUHN and A.W. TUCKER",
title = "Nonlinear programming",
journal = "Econometrica",
year = "1951",
volume = "19"}
@BOOK{Be:95,
AUTHOR = "M. J. BEST and K. RITTER ",
TITLE = "Quadratic Programming Active Set Analysis
and Computer Programs",
publisher = "University of Waterloo",
YEAR = 1995
}
@ARTICLE {ElAl:91,
author = "M. EL-ALEM",
title = "A Global convergence theory for the {CDT}
trust-region algorithm for constrained optimization" ,
journal = sinum,
year = "1991",
volume = "28",
pages = "266-290"}
@ARTICLE {FuKo:95b,
author = "T. FUJIE and M. KOJIMA",
title = "Semidefinite Programming Relaxation for
Nonconvex Quadratic Programs" ,
journal = "Technical report",
institution = "Dept. of Information Sciences",
address= "Tokyo Institute of Technology, Tokyo, Japan",
year = "1995",
volume = "",
pages = ""}
@ARTICLE {LySz:94,
author = "S. LYLE and M. SZULARZ",
title = "Local Minima of the Trust Region Problem" ,
journal = jota,
year = "1994",
volume = "80",
pages = "117-134"}
@ARTICLE {Dr:63,
author = "N.R. DRAPER",
title = "Ridge analysis of surface response" ,
journal = "Technometrics",
year = "1959",
volume = "5",
pages = "469-479"}
@ARTICLE {Ho:59,
author = "A.E. HOERL",
title = "Optimal solution of many-variable equations" ,
journal = "Chemical engineering progress",
year = "1959",
volume = "55",
pages = "69-78"}
@ARTICLE {MyCa:73,
author = "R.H. MYERS and W.H. CARTER",
title = "Response surface techniques for Dual Response
Systems",
journal = "Technometrics",
year = "1973",
volume = "15",
pages = "301-317"}
@ARTICLE {PoYu:86,
author = "M.J.D. POWELL and Y. YUAN",
title = "A recursive quadratic programming algorithm that
uses differentiable penalty functions",
journal = "Math. Prog.",
year = "1986",
volume = "7",
pages = "265-278"}
@ARTICLE {Rocka:73,
author = "R.T. ROCKAFELLAR",
title = "Augmented Lagrange Multipliers Functions and
Duality in Nonconvex Programming",
journal = "SIAM Journal on Control",
year = "1973",
volume = "12",
pages = "268-285"}
@ARTICLE {Han:77b,
author = "S.P. HAN",
title = "A globally convergent method for nonlinear programming",
journal = jota,
year = "1977",
volume = "22",
pages = "297-309"}
@article {MaMa:95,
AUTHOR = {MATHIS, F.H. and MATHIS, L.J.},
TITLE = {A nonlinear programming algorithm for hospital management},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review. A Publication of the Society for Industrial and
Applied Mathematics},
VOLUME = {37},
YEAR = {1995},
NUMBER = {2},
PAGES = {230--234},
ISSN = {0036-1445},
CODEN = {SIREAD},
}
@incollection {MR96m:90100,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Fractional programming},
BOOKTITLE = {Handbook of global optimization},
PAGES = {495--608},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {2},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1995},
}
@article {MR84m:90122,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Fractional programming},
JOURNAL = {Z. Oper. Res. Ser. A-B},
FJOURNAL = {Zeitschrift f\"ur Operations Research. Serie A. Serie
B},
VOLUME = {27},
YEAR = {1983},
NUMBER = {1},
PAGES = {39--54},
ISSN = {0340-9422},
MRCLASS = {90C32},
MRNUMBER = {84m:90122},
}
@article {MR84c:90091,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Bibliography in fractional programming},
JOURNAL = {Z. Oper. Res. Ser. A-B},
FJOURNAL = {Zeitschrift f\"ur Operations Research. Serie A. Serie
B},
VOLUME = {26},
YEAR = {1982},
NUMBER = {7},
PAGES = {A211--A241},
ISSN = {0340-9422},
MRCLASS = {90C32 (00A15)},
MRNUMBER = {84c:90091},
}
@incollection {MR83e:90153,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Fractional programming---state of the art},
BOOKTITLE = {Operational research '81 (Hamburg, 1981)},
PAGES = {479--493},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1981},
MRCLASS = {90C32},
MRNUMBER = {83e:90153},
}
@article {Sc:77,
AUTHOR = {SCHAIBLE, S.},
TITLE = {A Note on the Sum of a Linear and a Linear-Fractional Function},
JOURNAL = {Naval Research Logistics Quarterly},
VOLUME = {24},
YEAR = {1977},
PAGES = {691--693},
}
@proceedings {MR83g:90075,
TITLE = {Generalized Concavity in Optimization and Economics},
BOOKTITLE = {Proceedings of the NATO Advanced Study Institute held at
the
University of British Columbia, Vancouver, B.C., August
4--15,
1980},
EDITOR = {SCHAIBLE, S. and ZIEMBA, W.T.},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich
Publishers]},
ADDRESS = {New York},
YEAR = {1981},
PAGES = {xiv+767},
ISBN = {0-12-621120-5},
}
@incollection {MR95g:90004,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Generalized monotonicity---a survey},
BOOKTITLE = {Generalized convexity (P\'ecs, 1992)},
PAGES = {229--249},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1994},
MRCLASS = {90-02 (47N10 49J40 90C33)},
MRNUMBER = {95g:90004},
MRREVR = {Michel Th{\'e}ra},
}
@book {MR89e:90155,
AUTHOR = {AVRIEL, M. and DIEWERT, W.E. and SCHAIBLE,
S. and ZANG, I.},
TITLE = {Generalized concavity},
PUBLISHER = {Plenum Press},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {x+332},
ISBN = {0-306-42656-0},
MRCLASS = {90C25 (26B25 90A10 90A11 90C32)},
MRNUMBER = {89e:90155},
MRREVR = {Jean-Pierre Crouzeix},
}
# The following strings from V. Balakrishnan on SDP and systems control
## were moved to top of file
@book{
Lur:57,
author={A.I. LUR'E},
title={Some Nonlinear Problems in the Theory of Automatic
Control},
publisher={H. M. Stationery Off.},
year={1957},
note={In Russian, 1951.},
address= {London}
}
@article{
Wil:71a,
author="J. C. WILLEMS",
title="Least Squares Stationary Optimal Control and the Algebraic
{R}iccati Equation",
journal=tac,
year=1971,
pages= "621-634",
volume="AC-16",
number=6,
month=dec
}
@article{
PyS:82,
author= {E. S. PYATNITSKII and V. I. SKORODINSKII},
title= {Numerical Methods of {L}yapunov Function Construction and Their
Application to the Absolute Stability Problem},
journal= scl,
year= {1982},
volume= {2},
number= {2},
pages= {130-135},
month= aug
}
@article{
HoB:76,
author= {H. P. HORISBERGER and P. R. B\'ELANGER},
title= {Regulators for Linear, Time Invariant Plants with Uncertain Parameters},
journal= tac,
year= {1976},
volume= {AC-21},
pages= {705-708}
}
@BOOK{Vid:93,
author = {M. VIDYASAGAR},
year = 1993,
title = {Nonlinear Systems Analysis},
edition = {second},
publisher = {Prentice-Hall},
address = {Englewood Cliffs}
}
@book{
DeV:75,
author= {C.A. DESOER and M. VIDYASAGAR},
title= {Feedback Systems: {I}nput-Output Properties},
publisher= {Academic Press},
address= {New York},
year= {1975},
}
# Now from Jon lee
@article {Pad:89,
AUTHOR = {PADBERG, M. W.},
TITLE = {The {B}oolean quadric polytope: {S}ome characteristics, facets
and relatives},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {Ser. B, 45},
YEAR = {1989},
NUMBER = {1},
PAGES = {139--172},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@incollection {AFLW:96,
AUTHOR = {K.M. ANSTREICHER and FAMPA, M. and LEE, J. and
WILLIAMS, J.},
TITLE = {Continuous relaxations for constrained maximum-entropy
sampling},
BOOKTITLE = {Integer Programming and Combinatorial Optimization (Vancouver,
BC, 1996)},
editor = {W.H. Cunningham and T. McCormick and M. Queyranne},
PAGES = {234--248},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {1084},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1996},
}
@article {AFLW:97,
AUTHOR = {K.M. ANSTREICHER and FAMPA, M. and LEE, J. and
WILLIAMS, J.},
title = {Using continuous nonlinear relaxations to
solve constrained maximum-entropy sampling problems},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {Ser. A, 85},
YEAR = {1999},
NUMBER = {2},
PAGES = {221-240},
}
@article {KLQ:95,
AUTHOR = {KO, C.-W. and LEE, J. and QUEYRANNE, M.},
TITLE = {An exact algorithm for maximum entropy sampling},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research. The Journal of the Operations Research
Society of America},
VOLUME = {43},
YEAR = {1995},
NUMBER = {4},
PAGES = {684--691},
ISSN = {0030-364X},
CODEN = {OPREAI},
}
@article {Lee:98,
AUTHOR = {LEE, J.},
TITLE = {Constrained maximum-entropy sampling},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research. The Journal of the Operations Research
Society of America},
VOLUME = {46},
pages = "655-664",
YEAR = {1998},
}
@incollection {KLW:98,
AUTHOR = {KO, C.-W. and LEE, J. and WAYNE, K.},
title = {A spectral bound for {D}-optimality},
BOOKTITLE = {MODA 5 - Advances in Model-Oriented Data
Analysis and Experimental Design (Marseilles, 1998)},
SERIES = {Contributions to Statistics},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
year = {1998},
editor = {A.C. Atkinson and L. Pronzato and H.P. Wynn},
}
@article {Wel:82b,
AUTHOR = {WELCH, W.J.},
TITLE = {Branch-and-bound search for experimental designs based on
{D}-optimality and other criteria},
JOURNAL = {Technometrics},
FJOURNAL = {Technometrics. A Journal of Statistics for the Physical,
Chemical and Engineering Sciences},
VOLUME = {24},
YEAR = {1982},
NUMBER = {1},
PAGES = {41--48},
ISSN = {0040-1706},
CODEN = {TCMTA2},
}
@article {Wel:82a,
AUTHOR = {WELCH, W.J.},
TITLE = {Algorithmic complexity: {T}hree {N}{P}-hard problems in
computational statistics},
JOURNAL = {J. Statist. Comput. Simulation},
FJOURNAL = {Journal of Statistical Computation and Simulation},
VOLUME = {15},
YEAR = {1982},
NUMBER = {1},
PAGES = {17--25},
ISSN = {0094-9655},
CODEN = {JSCSAT},
}
%%% from F. Jarre - start
@incollection{so85,
AUTHOR = "G.\ SONNEVEND",
TITLE = "An {`analytical centre'} for polyhedrons and new classes of
global algorithms for linear {(smooth, convex)} programming",
BOOKTITLE = "System Modelling and Optimization",
NOTE = "Lecture Notes in Control and Information Sciences No. 84",
PUBLISHER = "Springer",
ADDRESS = "Berlin",
YEAR = "1986",
PAGES = "866--875",
}
@techreport{utl,
AUTHOR = " URBAN, T. and TITS, A.L. and LAWRENCE, C.T. ",
TITLE = "A primal-dual interior-point method for nonconvex optimization
with multiple logarithmic barrier parameters and with strong
convergence properties",
TYPE = "Report",
INSTITUTION = "University of Maryland",
ADDRESS = "College Park",
YEAR = "1998",
}
@techreport{vs,
AUTHOR = "R.J.\ VANDERBEI and D.F.\ SHANNO",
TITLE = "An interior point algorithm for nonconvex nonlinear programming",
TYPE = "Report",
NUMBER = "SOR-97-21",
INSTITUTION = "Dept.\ of Statistics and OR, Princeton University",
YEAR = "1997",
}
#%%% from F. Jarre - end
# some from Serge
@book {MR95i:90003, AUTHOR = {Nazareth, J. L.}, TITLE = {The {N}ewton-{C}auchy framework}, NOTE = {A unified approach to unconstrained nonlinear minimization},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {769},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {xii+101},
ISBN = {3-540-57671-1},
}
@article {MR2093387,
AUTHOR = {OBUCHOWSKA, WIES{\L}AWA T.},
TITLE = {Remarks on the analytic centers of convex sets},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {29},
YEAR = {2004},
NUMBER = {1},
PAGES = {60--90},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {52A41 (90C25 90C30)},
MRNUMBER = {MR2093387},
}
@article {MR2031625,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {On the minimizing trajectory of convex functions with
unbounded level sets},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {27},
YEAR = {2004},
NUMBER = {1},
PAGES = {37--52},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C25},
MRNUMBER = {MR2031625 (2004m:90114)},
}
@article {MR95j:90054,
AUTHOR = {OBUCHOWSKA, W.T. and Caron, R.J.},
TITLE = {Minimal representation of quadratically constrained convex
feasible regions},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {68},
YEAR = {1995},
NUMBER = {2, Ser. A},
PAGES = {169--186},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@article {MR1761152,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Minimal representation of convex regions defined by analytic
functions},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {246},
YEAR = {2000},
NUMBER = {1},
PAGES = {100--121},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90Cxx (52A41)},
MRNUMBER = {1 761 152},
}
@article {MR2000f:90049,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Convex constrained programmes with unattained infima},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {234},
YEAR = {1999},
NUMBER = {2},
PAGES = {675--694},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C25 (52A41)},
MRNUMBER = {2000f:90049},
MRREVR = {Jean-Pierre Crouzeix},
}
@article {MR2000e:90083,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {On infeasibility of systems of convex analytic inequalities},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {234},
YEAR = {1999},
NUMBER = {1},
PAGES = {223--245},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C31 (90C08 90C25)},
MRNUMBER = {2000e:90083},
MRREVR = {Henry Wolkowicz},
}
@article {MR99i:90098,
AUTHOR = {ISAC, G. and OBUCHOWSKA, W.T.},
TITLE = {Functions without exceptional family of elements and
complementarity problems},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {99},
YEAR = {1998},
NUMBER = {1},
PAGES = {147--163},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C33},
MRNUMBER = {99i:90098},
MRREVR = {Siegfried Schaible},
}
@article {MR97c:90111,
AUTHOR = {OBUCHOWSKA, W.T. and Caron, R.J.},
TITLE = {Improving the rate of convergence of the logarithmic barrier
function method},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {35},
YEAR = {1995},
NUMBER = {4},
PAGES = {317--332},
ISSN = {0233-1934},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {97c:90111},
}
@article {MR85d:90073,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Certain relations between the global and the conditional
extremum in convex programming},
JOURNAL = {Przeglpolhk ad Statyst.},
FJOURNAL = {Polska Akademia Nauk. Komitet Statystyki i Ekonometrii.
Przeglpolhk ad Statystyczny},
VOLUME = {29},
YEAR = {1982},
NUMBER = {1-2},
PAGES = {231--238 (1983)},
ISSN = {0033-2372},
CODEN = {PZSTAD},
MRCLASS = {90C25},
MRNUMBER = {85d:90073},
}
@article {MR84h:62093,
AUTHOR = {OBUCHOWSKA, WIES{\L}AWA},
TITLE = {Some properties of a correlation matrix which is majorized and
minorized by a neutral matrix},
JOURNAL = {Przeglpolhk ad Statyst.},
FJOURNAL = {Polska Akademia Nauk. Komitet Statystyki i Ekonometrii.
Przeglpolhk ad Statystyczny},
VOLUME = {27},
YEAR = {1980},
NUMBER = {3-4},
PAGES = {271--278 (1982)},
ISSN = {0033-2372},
CODEN = {PZSTAD},
MRCLASS = {62H20 (62H05)},
MRNUMBER = {84h:62093},
MRREVR = {M. Hu{\v{s}}kov{\'a}},
}
@book {MR56:17985,
AUTHOR = {Jacobson, David H.},
TITLE = {Extensions of linear-quadratic control, optimization
and matrix theory},
NOTE = {Mathematics in Science and Engineering, Vol. 133},
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich
Publishers]},
ADDRESS = {London},
YEAR = 1977,
PAGES = {x+217},
}
@article {MR88e:49045,
AUTHOR = {Rockafellar, R. T.},
TITLE = {Linear-quadratic programming and optimal control},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {Society for Industrial and Applied
Mathematics. Journal on Control and Optimization},
VOLUME = 25,
YEAR = 1987,
NUMBER = 3,
PAGES = {781--814},
ISSN = {0363-0129},
CODEN = {SJCODC},
}
@incollection {MR91j:93083,
AUTHOR = {Rapoport, L. B.},
TITLE = {Positive definiteness of a quadratic form under
quadratic constraints and absolute stability of
nonlinear control systems},
BOOKTITLE = {Qualitative theory of differential equations
(Szeged, 1988)},
PAGES = {567--576},
SERIES = {Colloq. Math. Soc. J\'anos Bolyai},
VOLUME = 53,
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = 1990,
}
@article {MR97d:90069,
AUTHOR = {Preisig, J. C.},
TITLE = {Copositivity and the minimization of quadratic
functions with nonnegativity and quadratic equality
constraints},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {SIAM Journal on Control and Optimization},
VOLUME = 34,
YEAR = 1996,
NUMBER = 4,
PAGES = {1135--1150},
ISSN = {0363-0129},
CODEN = {SJCODE},
}
@article {MR96m:49066,
AUTHOR = {Matveev, A. S.},
TITLE = {Lagrangian duality in the theory of nonconvex
optimization, and modifications of the
{T}oeplitz-{H}ausdorff theorem},
JOURNAL = {Algebra i Analiz},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
VOLUME = 7,
YEAR = 1995,
NUMBER = 5,
PAGES = {143--181},
ISSN = {0234-0852},
}
@Article{Park:1988:RNG,
author = "Stephen K. Park and Keith W. Miller",
title = "Random Number Generators: Good Ones are Hard to Find",
journal = "Communications of the ACM",
volume = "31",
number = "10",
pages = "1192--1201",
month = oct,
year = "1988",
coden = "CACMA2",
ISSN = "0001-0782",
mrclass = "65C10 (11K45)",
mrnumber = "91h:65012",
bibdate = "Sat Apr 06 08:06:30 1996",
url = "http://www.acm.org/pubs/toc/Abstracts/0001-0782/63042.html",
acknowledgement = ack-nhfb,
annote = "Practical and theoretical issues are presented
concerning the design, implementation, and use of a
good, minimal standard random number generator that
will port to virtually all systems.",
country = "USA",
descriptors = "Random number; random number testing; Pseudo-random
generator",
keywords = "algorithms; design; performance; standardization;
theory",
language = "English",
references = "47",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Random number generation. {\bf D.2.0}:
Software, SOFTWARE ENGINEERING, General, Standards.
{\bf K.6.2}: Computing Milieux, MANAGEMENT OF COMPUTING
AND INFORMATION SYSTEMS, Installation Management.",
}
@Article{BlBlSh86,
author = "M. Blum and L. Blum and M. Shub",
title = "A simple and secure pseudo-random number generator",
journal = "SIAM Journal on Computing",
year = "1986",
pages = "364--383",
volume = "15",
note = "Two pseudo-random sequence generators are presented
which, from small seeds, generate long well-distributed
sequences. The first, $1/P$ generator, is completely
predictable from a small segment of its output. The
second, $x^2 \pmod N$ generator, is {\it
cryptographically secure} as its sequence is
polynomial-time unpredictable (if quadratic residuacity
problem is indeed hard).",
}
@Article{BlMi84,
author = "M. Blum and S. Micali",
title = "How to generate cryptographically strong sequence of
pseudo-random bits",
journal = "SIAM Journal on Computing",
year = "1984",
pages = "850--864",
volume = "13",
note = "This paper introduces the notion of cryptographically
secure pseudo-random number generator.",
}
@Article{Marsaglia93,
author = "G. Marsaglia",
title = "Remarks on choosing and implementing random number
generators.",
journal = "Comm. A.C.M.",
volume = "36",
number = "7",
pages = "105--110",
month = jul,
year = "1993",
keywords = "random number generator, RNG, pseudo PRNG",
abstract = "via enews",
}
@article {MR52:5711,
AUTHOR = {MARSAGLIA, G. and STYAN, G.P.H.},
TITLE = {Equalities and inequalities for ranks of matrices},
JOURNAL = {Linear and Multilinear Algebra},
VOLUME = {2},
YEAR = {1974/75},
PAGES = {269--292},
MRCLASS = {15A45},
MRNUMBER = {52 \#5711},
MRREVIEWER = {A. R. Amir-Moez},
}
@article {MR52:5699,
AUTHOR = {Marsaglia, George and Styan, George P. H.},
TITLE = {Rank conditions for generalized inverses of partitioned
matrices},
JOURNAL = {Sankhy\=a Ser. A},
VOLUME = {36},
YEAR = {1974},
NUMBER = {4},
PAGES = {437--442},
MRCLASS = {15A09},
MRNUMBER = {52 \#5699},
MRREVIEWER = {Thomas L. Boullion},
}
@article {MR47:236,
AUTHOR = {Marsaglia, G. and Styan, G. P. H.},
TITLE = {When does ${\rm rank}\ ({A}+{B})={\rm rank}({A})+{\rm
rank}({B})$?},
JOURNAL = {Canad. Math. Bull.},
VOLUME = {15},
YEAR = {1972},
PAGES = {451--452},
MRCLASS = {15A03},
MRNUMBER = {47 \#236},
MRREVIEWER = {A. R. Amir-Moez},
}
@Article{Mitchell93a,
author = "Mitchell",
title = "A Nonlinear Random Number Generator with Known, Long
Cycle Length",
journal = "CRYPTOLOGIA: Cryptologia",
volume = "17",
year = "1993",
}
@proceedings {MR97k:94002,
TITLE = {Advances in cryptology---{C}{R}{Y}{P}{T}{O} '95},
BOOKTITLE = {Proceedings of the 15th Annual International Cryptology
Conference held at the University of California, Santa Barbara,
CA, August 27--31, 1995},
EDITOR = {Coppersmith, Don},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {963},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1995},
PAGES = {xii+467},
ISBN = {3-540-60221-6},
}
@incollection {MR91d:68051,
AUTHOR = {Micali, S. and Schnorr, C.-P.},
TITLE = {Efficient, perfect random number generators},
BOOKTITLE = {Advances in cryptology---CRYPTO '88 (Santa Barbara, CA, 1988)},
PAGES = {173--198},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {403},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1990},
}
@incollection {MR85i:94017,
AUTHOR = {Sloane, N. J. A.},
TITLE = {Encrypting by random rotations},
BOOKTITLE = {Cryptography (Burg Feuerstein, 1982)},
PAGES = {71--128},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {149},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1983},
}
@article {MR90g:94015,
AUTHOR = {Matthews, Robert},
TITLE = {On the derivation of a ``chaotic'' encryption algorithm},
JOURNAL = {Cryptologia},
FJOURNAL = {Cryptologia},
VOLUME = {13},
YEAR = {1989},
NUMBER = {1},
PAGES = {29--42},
ISSN = {0161-1194},
}
@article {MR92b:94035,
AUTHOR = {Ritter, Terry},
TITLE = {The efficient generation of cryptographic confusion sequences},
JOURNAL = {Cryptologia},
FJOURNAL = {Cryptologia},
VOLUME = {15},
YEAR = {1991},
NUMBER = {2},
PAGES = {81--139},
ISSN = {0161-1194},
}
@Book{knut:81,
author = "D. E. Knuth",
year = "1981",
title = "The Art of Computer Programming {II}: Seminumerical
Algorithms",
edition = "Second",
publisher = "Addison--Wesley",
address = "Reading, Massachusetts",
kwds = "cs, na, book, random numbers, computer arithmetic",
}
@InProceedings{Plumstead83b,
oldtag = "Plumstead83",
author = "Joan B. Plumstead",
title = "Inferring a Sequence Produced by a Linear Congruence",
pages = "317--319",
booktitle = "Proc.\ CRYPTO 82",
editor = "R. L. Rivest and A. Sherman and D. Chaum",
publisher = "Plenum Press",
address = "New York",
year = "1983",
comment = "Abstract of the FOCS '82 paper",
}
@Article{Shamir83,
author = "A. Shamir",
title = "On the Generation of Cryptographically Strong
Pseudorandom Sequences",
journal = "ACM Trans. on Computer Sys.",
volume = "1",
number = "1",
pages = "38",
month = feb,
year = "1983",
keywords = "TOCS",
}
@InCollection{KnuYao76,
author = "Knuth and Yao",
title = "The Complexity of Nonuniform Random Number
Generation",
booktitle = "Algorithms and Complexity: New Directions and Recent
Results, Ed. J. F. Traub, Academic Press",
year = "1976",
}
@incollection {MR780384,
AUTHOR = {Yao, Andrew C.},
TITLE = {Theory and applications of trapdoor functions},
BOOKTITLE = {23rd annual symposium on foundations of computer science
(Chicago, Ill., 1982)},
PAGES = {80--91},
PUBLISHER = {IEEE},
ADDRESS = {New York},
YEAR = {1982},
}
@TechReport{BeYeZh:98,
author = {Benson, S. J. and Ye, Y. and Zhang, X.},
title = {Solving Large-Scale Semidefinite Programs for Combinatorial Optimization},
institution = {University of Iowa},
year = {1998},
month = {May},
}
@TechReport{MoTs:98,
author = {Monteiro, R and Tsuchiya T},
title = {Polynomial Convergence of a New Family of Primal-Dual Algorithms for Semidefinite Programming},
institution = {Georgia Institute of Technology},
year = {1998},
month = {January},
}
@BOOK{Vid:93,
author = {M. Vidyasagar},
year = 1993,
title = {Nonlinear Systems Analysis},
edition = {second},
publisher = {Prentice-Hall},
address = {Englewood Cliffs}
}
@ARTICLE{GAC:96,
author = {P. GAHINET and P. APKARIAN and M. CHILALI},
month = mar,
year = 1996,
title = {Affine Parameter-Dependent {L}yapunov Functions for Real Parameter
Uncertainty},
journal = tac,
volume = 41,
number = 3,
pages = {436-442}
}
@article{AGB:95,
author={P. APKARIAN and P. GAHINET and G. BECKER},
title={Self-Scheduled {${\cal H}_{\infty}$} Control of Linear
Parameter-Varying Systems: A Design Example},
journal=aut,
mon=sep,
year=1995,
volume=31,
number=9,
pages={1251-1261}
}
@phdthesis{Bec:93,
author= {G. BECKER},
title= { Quadratic Stability and Performance
of Linear Parameter Dependent Systems},
school= {University of California, Berkeley},
year= {1993}
}
@ARTICLE{YuS:97,
author = {{J. YU and A. SIDERIS}},
year = 1997,
title = {{$H_\infty$ control with parametric {L}yapunov functions}},
journal = scl,
volume = 30,
pages = {57-69}
}
@ARTICLE{ElS:96,
author = {L.~EL~GHAOUI and G. SCORLETTI},
month = sep,
year = 1996,
title = {Control of Rational Systems using {L}inear-{F}ractional
{R}epresentations and {L}inear {M}atrix {I}nequalities},
journal = {Automatica},
volume = 32,
number = 9
}
@phdthesis{You:93,
author={P. M. Young},
title= {{R}obustness with {P}arametric and
{D}ynamic {U}ncertainty},
school={California Institute of Technology},
year={1993},
address={Pasadena, CA 91125},
month=may
}
@article{
Pac:94,
author={A. PACKARD},
title={Gain Scheduling via Linear Fractional Transformations},
journal=scl,
volume = {22},
pages={79-92},
year={1994}
}
@manual{mutools,
author= {G. BALAS and J. C. DOYLE and K. GLOVER and A. PACKARD
and R. SMITH},
title= {$\mu$-analysis and synthesis},
organization= {MUSYN, inc., and The Mathworks, Inc.},
year= {1991}
}
@ARTICLE{MeR:97,
author = {A. MEGRETSKI and A. RANTZER},
month = Jun,
year = 1997,
title = {System Analysis via Integral Quadratic Constraints},
journal = tac,
volume = {42},
number = {6},
pages = {819-830},
}
@inproceedings{EBFB:92,
author={L. {EL~GHAOUI} and V. BALAKRISH and E. FERON and S. BOYD},
title={On Maximizing a Robustness Measure for Structured Nonlinear
Perturbations},
booktitle=acc,
year={1992},
pages={2923-2924},
volume = {4},
address={Chicago},
month=jun
}
@ARTICLE{Bal:95,
author = {V. BALAKRISH},
year = 1995,
title = {Linear Matrix Inequalities in Robustness Analysis with Multipliers},
journal = scl,
volume = 25,
number = 4,
pages = {265-272}
}
@techreport{CTB1:97,
author={Y.S. CHOU and A.L. TITS and V. BALAKRISH},
title= {Absolute Stability
Theory, Theory, and State-Space Verification of Frequency-Domain
Conditions: Connections and Implications for
Computation},
institution={Institute for Systems Research, University of
Maryland},
number = {TR 97-23},
note = {Accepted for publication in {\it IEEE Trans.\ Aut.\
Control}, 1998.},
year=1997
}
@article{ShA:90,
author={J. S. SHAMMA and M. ATHANS},
title={Analysis of Gain Scheduled Control for Nonlinear Plants},
journal=tac,
number = 8,
volume=35,
pages = {898-907},
year = 1990,
month = Aug
}
@article{ShA:92,
author={J. S. SHAMMA and M. ATHANS},
title={Gain Scheduling: Potential Hazards and Possible Remedies},
journal= csm,
pages = {101-107},
year = {1992},
month = "June"
}
@article{
WYPB:94,
author={F. WU and X. H. YANG and A. PACKARD and G. BECKER},
title={Induced {${\bf L}_2$}-Norm Control for {LPV} System
with Bounded Parameter Variation Rates},
journal=ijrnc,
month=dec,
year=1994,
}
@article{
AG:95,
author={P. APKARIAN and P. GAHINET},
title={A Convex Characterization of Gain-Scheduled
{${\cal H}_{\infty}$} Controllers},
journal=tac,
volume={AC-40},
number=5,
pages={853-864},
mon=may,
year=1995
}
@manual{
Kmtools,
author= {R. CHIANG and M.G. SAFONOV},
title= {Robust Control Toolbox},
organization= {The Mathworks, Inc.},
year= {1992}
}
@article{
FTD:91,
author={M.K. H. FAN and A.L. TITS and J.C. DOYLE},
title={Robustness in the presence of mixed parametric
uncertainty and unmodeled dynamics},
journal=tac,
year={1991},
volume={AC-36},
number={1},
pages={25-38},
month=jan
}
@book{ Wu:95,
author={F. WU},
title={Control of Linear Parameter Varying Systems},
publisher={Engineering-Mechanical Eng.\ Dept., University of California
Berkeley},
series={Doctoral Dissertation},
year={1995}
}
@ARTICLE{FAG:96,
author = {E. FERON, P. APKARIAN and P. GAHINET},
month = jul,
year = 1996,
title = {Analysis and Synthesis of Robust Control Systems via
Parameter-Dependent {L}yapunov Functions},
journal = tac,
volume = 41,
number = 7,
pages = {1041-1046}
}
@incollection{
SaC:93,
author="M.G. SAFONOV and R. Y. CHIANG",
title="Real/Complex {$K_m$}-Synthesis without Curve Fitting",
booktitle="Control and Dynamic Systems",
volume="56",
part="2",
pages="303--324",
editor="C. T. Leondes",
publisher="Academic Press",
address="New York",
year="1993",
}
@article{
Sch:96,
author= {C. SCHERER},
title= {Mixed {$H_2$/$H_\infty$} control for time-varying and
linear para\-metrically-varying systems},
journal= ijrnc,
year=1996,
volume = 6,
month = {Nov--Dec},
number = {9/10},
pages = {929-952}
}
@ARTICLE{GaA:94,
author = {P. GAHINET and P. APKARIAN},
year = 1994,
title = {A Linear Matrix Inequality Approach to ${H}^\infty$ Control},
journal = ijrnc,
volume = 4,
pages = {421-448},
note = {}
}
@BOOK{ZDG:96,
author = {{K. ZHOU with J. DOYLE} and K. GLOVER},
year = 1996,
title = {Robust and Optimal Control},
note = {},
publisher = {Prentice Hall}
}
@article{Ran:96,
author = {A. RANTZER},
title = {On the {Kalman}-{Yakubovich}-{Popov} {L}emma},
journal = scl,
year = 1996,
volume = 28,
number = 1,
pages = {7-10}
}
@article{ApA:98,
author = {P. APKARIAN and R.J. ADAMS},
title = {Advanced Gain-Scheduled Techniques for Uncertain Systems},
journal = tcst,
year = 1998,
month = jan,
volume = {6},
number = 1,
pages = {21-32}
}
@inproceedings{Sch:96a,
author = {C. SCHERER},
title = {Robust generalized ${H}_2$ control for uncertain and {LPV} systems with general scalings},
booktitle = cdc,
year = 1996,
month = dec,
address = { },
pages = {3970-3975}
}
@article{ChG:95,
author = {M. CHILALI and P. GAHINET},
title = {${H}_\infty$ design with pole placement constraints: An LMI approach},
journal = tac,
year = 1995,
month = mar,
volume = 40,
number = 3,
pages = {358-367}
}
@book{AnV:73,
author={B. ANDERSON and S. VONGPANITLERD},
title={Network analysis and synthesis:
a modern systems theory approach},
publisher={Prentice-Hall},
year={1973}
}
@book{
GrL:95,
author={M. GREEN and D. J. N. LIMEBEER},
title={Linear Robust Control},
publisher={Prentice Hall},
year={1995},
notes={},
volume={},
series={Information and System sciences},
address={Englewood Cliffs, NJ},
edition={},
month={}
}
@article{
Yak:64,
author={V.A. YAKUBOVICH},
title={Solution of certain matrix inequalities
encountered in nonlinear control
theory},
journal={Soviet Math. Dokl.},
year={1964},
volume={5},
pages={652-656}
}
@article{
Kal:63,
author= {R.E. KALMAN},
title= { {L}yapunov Functions for the Problem of {L}ur'e in Automatic Control},
journal= {Proc. Nat. Acad. Sci., USA},
volume= {49},
pages= {201-205},
year= {1963}
}
@inproceedings{
Kal:63a,
author= {R.E. KALMAN},
title= {On a New Characterization of Linear Passive Systems},
booktitle= { Proc. First Annual Allerton Conf. on Communication,
Control and Computing},
pages= {456-470},
year= {1963}
}
@article{
Doy:82,
author= {J. DOYLE},
title= {Analysis of Feedback Systems with Structured Uncertainties},
journal= ieep,
volume= {129-D},
number= {6},
year= {1982},
pages= {242-250},
month= nov
}
@article{
Saf:82,
author= {M.G. SAFONOV},
title= {Stability margins of diagonally perturbed
multivariable feedback systems},
journal= ieep,
volume= {129-D},
number= {6},
year= {1982},
month= nov,
pages= {251-256}
}
# Gauss-Seidel related papers follow
@article {MR2001a:90061,
AUTHOR = {GRIPPO, L. and SCIANDRONE, M.},
TITLE = {On the convergence of the block nonlinear {G}auss-{S}eidel
method under convex constraints},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {26},
YEAR = {2000},
NUMBER = {3},
PAGES = {127--136},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {2001a:90061},
MRREVIEWER = {Zun Quan Xia},
}
@article {MR2001a:65118,
AUTHOR = {Korsawe, Johannes and Starke, Gerhard},
TITLE = {Multilevel projection methods for nonlinear least-squares
finite element computations},
NOTE = {Multilevel methods (Copper Mountain, CO, 1999)},
JOURNAL = {Electron. Trans. Numer. Anal.},
FJOURNAL = {Electronic Transactions on Numerical Analysis},
VOLUME = {10},
YEAR = {2000},
PAGES = {56--73 (electronic)},
ISSN = {1068-9613},
MRCLASS = {65M60 (65M55)},
MRNUMBER = {2001a:65118},
}
@incollection {MR2000m:90027,
AUTHOR = {Auslender, Alfred and Teboulle, Marc and Ben-Tiba, Sami},
TITLE = {Coupling the logarithmic-quadratic proximal method and the
block nonlinear {G}auss-{S}eidel algorithm for linearly
constrained convex minimization},
BOOKTITLE = {Ill-posed variational problems and regularization
techniques
(Trier, 1998)},
SERIES = {Lecture Notes in Econom. and Math. Systems},
VOLUME = {477},
PAGES = {35--47},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1999},
MRCLASS = {90C25 (90C08)},
MRNUMBER = {2000m:90027},
MRREVIEWER = {K. Zimmermann},
}
@article {MR99e:65049,
AUTHOR = {Bai, Zhong Zhi},
TITLE = {Asynchronous parallel nonlinear symmetric {G}auss-{S}eidel
iteration methods},
JOURNAL = {Math. Numer. Sin.},
FJOURNAL = {Mathematica Numerica Sinica. Jisuan Shuxue},
VOLUME = {20},
YEAR = {1998},
NUMBER = {2},
PAGES = {187--200},
ISSN = {0254-7791},
MRCLASS = {65F10},
MRNUMBER = {99e:65049},
}
#################################start student papers##################
@inproceedings{chKruklip:02a,
AUTHOR = "E. CHENG and S. KRUK and M. LIPMAN",
TITLE = "Flow Formulations for the Student Scheduling Problem",
bookTITLE = " Proceedings of the 4th international conference on the
Practice and Theory of Automated Timetabling",
publisher = "-",
NUMBER = "298-308",
YEAR = "2002",
}
@article{chKruklip:02b,
AUTHOR = "E. CHENG and S. KRUK and M. LIPMAN",
title="An Optimization Formulation for the existence of Complete
Spheres-of-Influence graphs",
journal="Congressus Numerantium",
year="2002",
}
@TECHREPORT {DrorKruk:02,
author = "M. DROR and S. KRUK",
title = "Semidefinite Models of Centralized Inventory",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
year = "2002",
number = "2002-3"}
@TECHREPORT {BausKruk:02,
author = "H. BAUSCHKE and S. KRUK",
title = "The method of reflection-projection for convex
feasibility problems with an obtuse cone",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
note = "to appear in JOTA",
year = "2002",
number = "2002-4"}
@TECHREPORT {BausCombKruk:02,
author = "H. BAUSCHKE and P.L. COMBETTES and S. KRUK",
title = "Solving large, sparse linear programs
using projections",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
note = "to appear in JOTA",
year = "2002",
number = "2002-6"}
#################################end student papers##################
#################################procrustes references##################
@article {MR2003f:65114,
AUTHOR = {Del Buono, N. and Lopez, L.},
TITLE = {Geometric integration on manifold of square oblique
rotation
matrices},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {23},
YEAR = {2002},
NUMBER = {4},
PAGES = {974--989 (electronic)},
ISSN = {1095-7162},
MRCLASS = {65L05 (34A34 34C40 37M99 65F99)},
MRNUMBER = {2003f:65114},
}
@article {MR2003b:90071,
AUTHOR = {Trendafilov, Nickolay T. and Lippert, Ross A.},
TITLE = {The multimode {P}rocrustes problem},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {349},
YEAR = {2002},
PAGES = {245--264},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C25 (65K10)},
MRNUMBER = {2003b:90071},
}
@article {MR95f:65072,
AUTHOR = {Watson, G. A.},
TITLE = {The solution of orthogonal {P}rocrustes problems for a
family
of orthogonally invariant norms},
JOURNAL = {Adv. Comput. Math.},
FJOURNAL = {Advances in Computational Mathematics},
VOLUME = {2},
YEAR = {1994},
NUMBER = {4},
PAGES = {393--405},
ISSN = {1019-7168},
MRCLASS = {65F10 (65F25)},
MRNUMBER = {95f:65072},
MRREVIEWER = {Hongyuan Zha},
}
@article {MR93e:62140,
AUTHOR = {Kiers, Henk A. L. and ten Berge, Jos M. F.},
TITLE = {Minimization of a class of matrix trace functions by means
of
refined majorization},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal of Quantitative Psychology},
VOLUME = {57},
YEAR = {1992},
NUMBER = {3},
PAGES = {371--382},
ISSN = {0033-3123},
CODEN = {PSYKA2},
MRCLASS = {62H05 (62P15)},
MRNUMBER = {93e:62140},
}
@article {MR93g:65055,
AUTHOR = {Arun, K. S.},
TITLE = {A unitarily constrained total least squares problem in
signal
processing},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {13},
YEAR = {1992},
NUMBER = {3},
PAGES = {729--745},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F20 (15A18)},
MRNUMBER = {93g:65055},
MRREVIEWER = {Zden{\v{e}}k Strako{\v{s}}},
}
@article {MR89g:15016,
AUTHOR = {Shapiro, A. and Botha, J. D.},
TITLE = {Dual algorithms for orthogonal {P}rocrustes rotations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {9},
YEAR = {1988},
NUMBER = {3},
PAGES = {378--383},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A42 (15A15 93B60)},
MRNUMBER = {89g:15016},
MRREVIEWER = {M. M. Konstantinov},
}
#################################end procrustes references##################
#################################partial separability
@article {MR2089056,
AUTHOR = {Altangerel, L. and Bo{\c{t}}, R. I. and Wanka, G.},
TITLE = {Duality for convex partially separable optimization problems},
JOURNAL = {Mong. Math. J.},
FJOURNAL = {Mongolian Mathematical Journal},
VOLUME = {7},
YEAR = {2003},
PAGES = {1--18},
MRCLASS = {90C25 (90C46)},
MRNUMBER = {MR2089056 (2005d:90089)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR1480634,
AUTHOR = {Dayd{\'e}, Michel J. and L'Excellent, Jean-Yves and Gould,
N.I.M.},
TITLE = {Element-by-element preconditioners for large partially
separable optimization problems},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {18},
YEAR = {1997},
NUMBER = {6},
PAGES = {1767--1787},
ISSN = {1064-8275},
CODEN = {SJOCE3},
MRCLASS = {90C30},
MRNUMBER = {MR1480634 (98j:90070)},
MRREVIEWER = {K. Schittkowski},
}
@incollection {MR1307166,
AUTHOR = {Conn, Andrew R. and Gould, Nick and Toint, Philippe L.},
TITLE = {Improving the decomposition of partially separable functions
in the context of large-scale optimization: a first approach},
BOOKTITLE = {Large scale optimization (Gainesville, FL, 1993)},
PAGES = {82--94},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1994},
MRCLASS = {90C30 (90C25)},
MRNUMBER = {MR1307166},
}
@incollection {MR1282736,
AUTHOR = {Conn, A. R. and Gould, Nick and Lescrenier, M. and Toint, Ph.
L.},
TITLE = {Performance of a multifrontal scheme for partially separable
optimization},
BOOKTITLE = {Advances in optimization and numerical analysis (Oaxaca,
1992)},
SERIES = {Math. Appl.},
VOLUME = {275},
PAGES = {79--96},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1994},
MRCLASS = {90C30},
MRNUMBER = {MR1282736 (95a:90118)},
}
@article {MR1152480,
AUTHOR = {Schmidt, J. W.},
TITLE = {Dual algorithms for solving convex partially separable
optimization problems},
JOURNAL = {Jahresber. Deutsch. Math.-Verein.},
FJOURNAL = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
VOLUME = {94},
YEAR = {1992},
NUMBER = {1},
PAGES = {40--62},
ISSN = {0012-0456},
CODEN = {JDMVA7},
MRCLASS = {90C30 (41A15 49N15 65D07)},
MRNUMBER = {MR1152480 (93c:90084)},
MRREVIEWER = {Blagun Kalchev},
}
@article {MR866412,
AUTHOR = {Toint, Ph. L.},
TITLE = {Global convergence of the partitioned {BFGS} algorithm for
convex partially separable optimization},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {36},
YEAR = {1986},
NUMBER = {3},
PAGES = {290--306},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C25 (65K05)},
MRNUMBER = {MR866412 (88a:90160)},
MRREVIEWER = {Pierre Loridan},
}
#################################end partial separability
# This file contains papers related to semidefinite programming, SDP.
# This file is also available at:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
# as part of: Bibliographies on Mathematics
# Bibliography on Semidefinite Programming
# with URL http://liinwww.ira.uka.de/bibliography/Math/psd.html
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
###########
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@mastersthesis {Aarts:99,
author = "L. AARTS",
title = "Primal-Dual Search Directions in Semidefinite
Optimization",
school = "Delft University of Technology",
year = "1999"}
@article {MR98d:90100,
AUTHOR = {El Abdouni, B. and Thibault, L.},
TITLE = {Optimality conditions for problems with set-valued
objectives},
JOURNAL = {J. Appl. Anal.},
FJOURNAL = {Journal of Applied Analysis},
VOLUME = {2},
YEAR = {1996},
NUMBER = {2},
PAGES = {183--201},
ISSN = {1425-6908},
MRCLASS = {90C29 (49J52)},
MRNUMBER = {98d:90100},
MRREVIEWER = {Tetsuzo Tanino},
}
@TECHREPORT {AdlerAliz:95,
author = "I. ADLER and F. ALIZADEH",
title = "Primal-dual interior point algorithms for convex
quadratically constrained and semidefinite optimization problems",
year = "1995",
institution = "Rutcor, Rutgers University",
address = " New Brunswick, NJ"
}
@article{AdlerMonteiro,
author = {I. ADLER and R.D.C. MONTEIRO},
title = {A geometric view of parametric linear
programming},
journal = {Algorithmica},
volume = 8,
pages = {161-176},
year = 1992}
@article {AgHeMc:88,
author = "J. AGLER and J.W. HELTON and S. McCULLOUGH",
title = "Positive semidefinite matrices with a given
sparsity pattern",
journal = laa,
year = "1988",
volume = "107",
number = "3",
pages = "101-149"
}
@PHDTHESIS {Alhom:93,
author = "S. AL-HOMIDAN",
title = "Hybrid methods for optimization problems
with positive semidefinite matrix constraints",
school = "University of Dundee",
year = "1993"}
@techreport {homidan:03,
author = "M.M. ALSHAHRANI and S. AL-HOMIDAN",
title = "New Formulations of the Hankel Matrix Approximation
Problem",
institution = "King Fahd University of Petroleum \& Minerals",
address = "Dhahran, Saudia Arabia",
year = "2003"
}
@article {Alfak:00,
author = "A. ALFAKIH",
title = "Graph rigidity via {E}uclidean distance
matrices",
journal = laa,
year = "2000",
pages = "49-165",
number = "1-3",
volume = "310",
}
@PHDTHESIS {Al:91,
author = "F. ALIZADEH",
title = "Combinatorial optimization with interior
point methods and semidefinite matrices",
school = "University of Minnesota",
year = "1991"}
@INCOLLECTION {Al:92,
author = "F. ALIZADEH",
title = "Optimization Over Positive Semi-Definite Cone;
Interior-Point Methods and Combinatorial Applications",
booktitle = "Advances in Optimization and
Parallel Computing",
publisher = "North--Holland",
year = "1992",
editor = "P.M. Pardalos",
pages = "1-25",
}
@techreport {Alizadehnotes:00,
author = "F. ALIZADEH",
title = "Lecture Notes on semidefinite programming",
institution = "Rutgers University",
address = " Piscataway, NJ",
note = "URL: http://karush.rutgers.edu/\~{ }alizadeh/",
year = "2000"
}
@INPROCEEDINGS {Aliz:92,
author = "F. ALIZADEH",
title = "Combinatorial optimization with
semidefinite matrices",
year = "1992",
booktitle = "Proceedings of the Second Annual Integer
Programming and Combinatorial Optimization Conference",
address = "Carnegie-Mellon University"}
@INPROCEEDINGS {MobTahSotKhan:05,
author = "A. MOBASHER and M. TAHERZADEH and R. SOTIROV and
A.K. KHANDANI",
title = "An efficient quasi-maximum likelihood decoding for
finite constellations",
year = "2005",
booktitle = "Conference on Information Sciences and Systems
(CISS)",
address = ""}
@TECHREPORT {Alizadeh:92,
author = "F. ALIZADEH",
title = "Semidefinite programming: duality theory,
eigenvalue optimization and combinatorial applications",
year = "1992",
institution = "Stanford University",
note = " Presented at the Fourth SIAM Conference on
Optimization, 1992"
}
@inproceedings {AlHaOv:94,
author = "F. ALIZADEH and J-P.A. HAEBERLY and M.L. Overton",
title = "A new primal-dual interior-point method for
semidefinite programming",
booktitle="Proceedings of the Fifth SIAM Conference on Applied Linear
Algebra",
editor = "J.G. Lewis",
year = "1994",
publisher = "SIAM",
pages = "113-117",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming"
}
@article {AlHaOv:95,
author = "F. ALIZADEH and J-P.A. HAEBERLY and M.L. Overton",
title = "Complementarity and nondegeneracy in semidefinite
programming",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = mprog,
year = "1997",
volume = "77",
pages = "111-128"
}
@TechReport{AHNOS97,
author = {F.~ALIZADEH and J.--P.~HAEBERLY and
M.V.~Nayakkankuppam and M.L.~Overton and
S.H. SCHMIETA},
title = {{SDP}pack User's Guide -- Version 0.9 {B}eta},
institution = {Courant Institute of Mathematical Sciences, NYU},
year = 1997,
number = {TR1997--737},
address = {New York, NY},
month = {June}
}
@TechReport{ASch:98,
author = {F.~ALIZADEH and S.H. SCHMIETA},
title = {Optimization with Semidefinite, Quadratic and Linear
Constraints},
institution = {RUTCOR, Rutgers University},
year = 1997,
number = {RRR23--97},
address = {New Brunswick, NJ},
month = {November}
}
@TechReport{AlkireVanden:00,
author = {B. ALKIRE and L. VANDENBERGHE},
title = {Handling Nonnegative Constraints in Spectral
Estimation},
institution = {Electrical Engineering Department, UCLA},
year = {2000},
address = {Los Angeles, CA},
month = {October}
}
@TechReport{AlkireVanden:01,
author = {B. ALKIRE and L. VANDENBERGHE},
title = {Convex optimization problems involving finite
autocorrelation sequences},
institution = {Electrical Engineering Department, UCLA},
year = {2001},
address = {Los Angeles, CA},
month = {January}
}
@article {An, author = "T. ANDO",
title = "Concavity of certain maps and positive definite
matrices and applications to {H}adamard products",
journal = laa,
year = "1979",
volume = "26",
pages = "203-241"
}
@article {Ando:04, author = "T. ANDO",
title = "Cones and norms in the tensor product of matrix
spaces",
journal = laa,
year = "2004",
volume = "379",
pages = "3-41"
}
@article {MR95k:15023,
AUTHOR = {ANDO, T. and HIAI, F.},
TITLE = {Inequality between powers of positive semidefinite
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {208/209},
YEAR = {1994},
PAGES = {65--71},
ISSN = {0024-3795},
CODEN = {LAAPAW},
}
@article {ArbenzDrmac:02,
AUTHOR = {P. ARBENZ and Z. DRMAC},
TITLE = {On Positive Semidefinite Matrices with Known Null Space},
JOURNAL = simax,
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {24},
YEAR = {2002},
PAGES = {132--149},
number={1},
}
@techreport {ArmandGilbertJan:01,
author = "P. ARMAND and J.C. GILBERT and S. JAN",
title = "A {BFGS-IP} algorithm for solving strongly convex
optimization problems with feasibility enforced by an exact penalty
approach ",
institution = "INRIA Rocquencourt",
address = "BP 105, 78153 Le Chesnay Cedex (France)",
year = "2000",
eprint ="http://www.optimization-online.org/DB_HTML/2001/02/267.html",
}
@techreport {Aspremont:05,
author = "A. d'ASPREMONT",
title = "Smooth Optimization for Sparse Semidefinite Programs",
institution = "ORFE Dept., Princeton University",
address = "Princeton, NJ",
year = "2005",
eprint ="http://arxiv.org/abs/math/0512344"
}
@BOOK{am77,
AUTHOR= "L. AUSLANDER AND R. E. MACKENZIE",
TITLE = "Introduction to Differentiable Manifolds",
PUBLISHER = "Dover Publications, New York",
YEAR =1977 }
@ARTICLE{asro78,
AUTHOR ="L. ASIMOW AND B. ROTH",
TITLE ="The rigidity of graphs",
JOURNAL="Trans. Amer. Math. soc.",
VOLUME=245 ,
PAGES ={279--289} ,
YEAR=1978 }
@InProceedings{NO96a,
author = {M.V.~Nayakkankuppam and M.L.~Overton},
title = {Primal--dual interior--point methods for
semidefinite programming},
booktitle = {Proceedings of the IEEE International Symposium on
Computer--Aided Control System Design},
year = 1996,
organization = {IEEE Control Systems Society},
month = {September},
pages = {235--239}
}
@TechReport{NO97a,
author = {M.V.~Nayakkankuppam and M.L.~Overton},
title = {Conditioning of semidefinite programs},
institution = {Courant Institute of Mathematical Sciences, NYU},
year = 1997,
address = {New York, NY},
month = {March},
}
@article {MR2000f:90046,
author = {M.V.~Nayakkankuppam and M.L.~Overton},
TITLE = {Conditioning of semidefinite programs},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {85},
YEAR = {1999},
NUMBER = {3, Ser. A},
PAGES = {525--540},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C31)},
MRNUMBER = {2000f:90046},
MRREVIEWER = {Levent Tun{\c{c}}el},
}
@article {AnOl:78,
author = "T.W. ANDERSON and I. OLKIN",
title = "An extremal problem for positive definite matrices",
journal = lama,
year = "1978",
volume = "6",
pages = "257-262"
}
@techreport {Ans:98,
author = "K.M. ANSTREICHER",
title = "On the equivalence of convex programming bounds for
{B}oolean quadratic programming",
institution = "University of Iowa",
address = " Iowa City, IA",
year = "1998"
}
@techreport {Ans:99,
author = "K.M. ANSTREICHER",
title = "Eigenvalue bounds versus semidefinite relaxations
for the quadratic assignment problem",
institution = "University of Iowa",
address = " Iowa City, IA",
year = "1999"
}
@article {AnsBrix:99,
AUTHOR = {ANSTREICHER, K.M. and BRIXIUS, N.W.},
TITLE = {A new bound for the quadratic assignment problem based on
convex quadratic programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2001},
NUMBER = {3, Ser. A},
PAGES = {341--357},
ISSN = {0025-5610},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {2001j:90057},
MRREVIEWER = {Marcos Raydan},
}
@article {AnstVial:94,
author = "K.M. ANSTREICHER and J.-P. VIAL",
title = "On the convergence of an infeasible primal-dual
interior-point method for convex programming",
journal = oms,
year = "1994",
volume = "3",
pages = "273-283"
}
%BBBBBBBBBBBBBBBBBBBBBBBB
@incollection {MR1450160,
AUTHOR = {BA{\v{C}}{\'I}K, R. and MAHAJAN, S.},
TITLE = {Semidefinite programming and its applications to {N}{P}
problems},
BOOKTITLE = {Computing and combinatorics (Xi'an, 1995)},
PAGES = {566--575},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {959},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
}
@inproceedings {fazelhindiboyd:01,
AUTHOR = {M. FAZEL and H. HINDI and S.P. BOYD},
TITLE = {A rank minimization heuristic with application to minimum
order system approximation},
BOOKTITLE = {Proceedings American Control Conference},
PAGES = {4734-4739},
PUBLISHER = {},
ADDRESS = {},
YEAR = {2001},
}
@article {MR95j:65043,
AUTHOR = {BALAKRISH, V. and BOYD, S.},
TITLE = {Existence and uniqueness of optimal matrix scalings},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {16},
YEAR = {1995},
NUMBER = {1},
PAGES = {29--39},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F35 (15A12 15A60)},
MRNUMBER = {95j:65043},
MRREVIEWER = {A. Barraud},
}
@book{BaF:96,
editor ={V. BALAKRISH and E. FERON},
TITLE = {Linear matrix inequalities in control theory and
applications},
NOTE = {Internat. J. Robust Nonlinear Control {\bf 6} (1996), no.
9-10},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1996},
PAGES = {i--ii and 895--1095},
ISSN = {1049-8923},
CODEN = {IJRCEA},
MRCLASS = {93-06 (15-06 93C05)},
MRNUMBER = {97g:93008},
}
@article {MR99k:90101,
AUTHOR = {BALAS, E.},
TITLE = {Disjunctive programming: properties of the convex hull of
feasible points},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
Optimization and Computer Science},
VOLUME = {89},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {3--44},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C08 (90C10 90C11)},
MRNUMBER = {99k:90101},
MRREVR = {K. G. Murty},
}
@article {MR558566,
AUTHOR = {BALAS, E.},
TITLE = {Disjunctive programming},
NOTE = {Discrete optimization (Proc. Adv. Res. Inst. Discrete
Optimization and Systems Appl., Banff, Alta., 1977), II},
JOURNAL = {Ann. Discrete Math.},
FJOURNAL = {Annals of Discrete Mathematics},
VOLUME = {5},
YEAR = {1979},
PAGES = {3--51},
MRCLASS = {90C10},
MRNUMBER = {558 566},
}
@article {MR94c:90070,
AUTHOR = {BALAS, E. and FISCHETTI, M.},
TITLE = {A lifting procedure for the asymmetric traveling salesman
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%CCCCCC
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%EEEEEEEEEEEEE
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###extra refs from El Ghaoui start
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publisher = "Springer",
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series = "Lecture Notes in Control and Information Sciences",
note = "To appear"
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###extra refs from El Ghaoui end
%FFFFFFFFFFFFFF
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% GGGGGGG
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# From MathSci search
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) Copyright American Mathematical Society 1999
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%HHHHHHHHHHHHHHHHH
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) Copyright American Mathematical Society 1999
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%IIIIIIIIIIIIIIIIIIII
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%MMMMMMMMMMMM
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%NNNNNNNNNNNNNNNNNNN
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%OOOOOOOOOOOOOOOOOO
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%PPPPPPPPPPPPPPPP
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%QQQQQQQQQQQQQQQQQQ
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%RRRRRRRRRRRRRRR
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------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
%SSSSSSSSSSS
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author = "C. LIN and R. SAIGAL",
title = "An infeasible start
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%SSSSSSSSSSS
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%TTTTTTT
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institution = "School of OR and IE, Cornell University",
address = "Ithaca, NY",
}
@article {MR99h:90064,
AUTHOR = {Todd, Michael J. and Ye, Yinyu},
TITLE = {Approximate {F}arkas lemmas and stopping rules for
iterative
infeasible-point algorithms for linear programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {81},
YEAR = {1998},
NUMBER = {1, Ser. A},
PAGES = {1--21},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C05 (46N10)},
MRNUMBER = {99h:90064},
MRREVR = {Levent Tun{\c{c}}el},
}
@techreport{Toh:97,
author = "K.C. TOH",
title = "Search directions for primal-dual interior point methods in
semidefinite programming",
year = "1997",
institution = "Department of Mathematics,
National University of Singapore",
address = "Singapore"
}
@techreport {ToKo:00,
author = "K-C. TOH and M. KOJIMA",
title = "Solving some large scale semidefinite programs via
the conjugate residual method",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
year = "2000"
}
@incollection {MR2062283,
AUTHOR = {TRAFALIS, T.B. and MALYSCHEFF, A.M.},
TITLE = {Optimal selection of the regression kernel matrix with
semidefinite programming},
BOOKTITLE = {Frontiers in global optimization},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {74},
PAGES = {575--584},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2004},
MRCLASS = {62H30 (90C22)},
MRNUMBER = {MR2062283},
}
@techreport {Trosset:97,
author = "M.W. TROSSET",
title = "Distance Matrix Completion by Numerical
Optimization",
institution = "Rice University",
addresss = "Houston, TX",
year = "1997"
}
@article {Trosset:97a,
author = "M.W. TROSSET",
title = "Applications of Multidimensional Scaling to
Molecular Conformation",
journal={Computing Science and Statistics},
VOLUME = {29},
PAGES = {148--152},
year = "1998",
}
@techreport {Trosset:97b,
author = "M.W. TROSSET",
title = "Computing Distances Between Convex Sets and Subsets
of the Positive Semidefinite
Matrices",
institution = "Rice University",
year = "1997",
address = "Houston, Texas"
}
@techreport {TSU:97,
author = "T. TSUCHIYA",
title = "A Polynomial Primal-Dual Path-Following Algorithm
for Second-order Cone Programming",
institution = "The Institute of Statistical Mathematics",
address = "Tokyo, Japan",
year = "1997"
}
@article{TSUMOnt:97,
author = "R.D.C. MONTEIRO and T. TSUCHIYA",
TITLE = {Polynomial convergence of a new family of primal-dual
algorithms for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {9},
YEAR = {1999},
NUMBER = {3},
PAGES = {551--577 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C22 (90C51 90C60)},
MRNUMBER = {2000c:90053},
MRREVIEWER = {Jos F. Sturm},
}
@incollection {MR1778231,
author = "L. TUN{\c{C}}EL",
TITLE = {Potential reduction and primal-dual methods},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {235--265},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1778231},
}
@TECHREPORT {SteTun:97,
author = "T. STEPHEN and L. TUN{\c{C}}EL",
title = "On a representation of the matching polytope via
semidefinite liftings",
year = "1997",
institution = "Department of Combinatorics and Optimization",
number = "CORR 97-11",
address = "Waterloo, Ont"}
@article {Tun:99,
author = "L. TUN{\c{C}}EL",
title = " Generalization of primal-dual interior-point
methods to convex optimization problems in conic form",
journal = "Foundations of Computational Mathematics",
year = 2001,
volume = "1",
number = "3",
pages = {229-254},
}
@TECHREPORT {Tun:01,
author = "L. TUN{\c{C}}EL",
TITLE = {On the {S}later condition for the {SDP} relaxations of
nonconvex sets},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {29},
YEAR = {2001},
NUMBER = {4},
PAGES = {181--186},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C22 (90C27 90C46)},
MRNUMBER = {MR1876975 (2002k:90076)},
MRREVIEWER = {Klaus Hofstedt},
}
@TECHREPORT {TunXu:99,
author = "L. TUN{\c{C}}EL and S. XU",
title = "On homogeneous convex cones,
{C}aratheodory number, and duality mapping semidefinite liftings",
year = "1999",
institution = "Department of Combinatorics and Optimization",
number = "CORR 99-21",
address = "Waterloo, Ont"}
@TECHREPORT {TunXu:99b,
author = "L. TUN{\c{C}}EL and S. XU",
title = "Complexity analyses of discretized
successive convex relaxation methods",
year = "1999",
institution = "Department of Combinatorics and Optimization",
number = "CORR 99-37",
address = "Waterloo, Ont"}
%VVVVVVVVVVVVVVV
@article{VaB1:97,
author = {L. VANDENBERGHE and V. BALAKRISH},
title = {Algorithms and Software for {LMI} Problems in
Control},
journal = csm,
year = 1997,
month = oct,
pages = {89-95},
}
@techreport{VaB1:99,
author = {L. VANDENBERGHE and V. BALAKRISH},
title = "Semidefinite programming duality and linear system
theory: connections and implications for computation",
institution = "UCLA",
address = "Los Angeles, CA",
keywords = "SDP, system theory",
note = "To appear in the Proceedings of the 1999 Conference on
Decision and Control",
year = "1999"
}
@techreport{VanbeiBens:99,
AUTHOR = {VANDERBEI, R.J. and BENSON, H.Y.},
title = "On formulating semidefinite programming problems
as smooth convex nonlinear optimization problems",
institution = "Statistics and Operations Research,
Princeton University",
address = "Princeton, NJ",
keywords = "SDP, NLP",
year = "1999"
}
@article {MR1976482,
AUTHOR = {BENSON, H.Y. and VANDERBEI, R.J.},
TITLE = {Solving problems with semidefinite and related constraints
using interior-point methods for nonlinear programming},
NOTE = {Computational semidefinite and second order cone
programming:
the state of the art},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {95},
YEAR = {2003},
NUMBER = {2, Ser. B},
PAGES = {279--302},
ISSN = {0025-5610},
MRCLASS = {90C51 (90C30)},
MRNUMBER = {1 976 482},
}
@article {MR97b:90077,
AUTHOR = {VANDERBEI, R.J. and BING, Y.},
TITLE = {The simplest semidefinite programs are trivial},
JOURNAL = mor,
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {20},
YEAR = {1995},
NUMBER = {3},
PAGES = {590--596},
ISSN = {0364-765X},
}
@TECHREPORT {Vava:99,
author = "S.A. VAVASIS",
title = "A note on efficient computation of the gradient in
semidefinite programming",
institution = "Cornell University",
year = "1999",
address = "Ithaca, NY"}
@article {Vial:94,
author = "J.-P. VIAL",
title = "Computational experience with a primal-dual
interior-point method for smooth convex programming",
journal = oms,
year = "1994",
volume = "3",
pages = "285-316"
}
@article {Vin:65,
author = "E.B. VINBERG",
title = "The theory of homogeneous cones",
journal = "Trans. Moscow Math.",
year = "1965",
volume = "12",
pages = "340-403"
}
% WWWWWWWWWWWWWWWWWWWWWw
@inproceedings{1015345,
AUTHOR = {K. WEINBERGER and F. SHA and L. SAUL},
title = {Learning a kernel matrix for nonlinear dimensionality
reduction},
booktitle = {ICML '04: Proceedings of the twenty-first international
conference on Machine learning},
year = {2004},
isbn = {1-58113-828-5},
pages = {106},
location = {Banff, Alberta, Canada},
doi = {http://doi.acm.org/10.1145/1015330.1015345},
publisher = {ACM Press},
address = {New York, NY, USA},
}
@PHDTHESIS {Wells:95,
author = "C.P. WELLS",
title = "An Improved Method for Sampling
of Molecular Conformation Space",
school = "University of Kentucky",
year = "1995",
}
@PHDTHESIS {William:93,
author = "D.P. WILLIAMSON",
title = "On the design of
approximation algorithms for a class of Graph Problems",
school = "MIT",
year = "1993",
}
@article {MR97a:93032,
AUTHOR = {WIMMER, H.K.},
TITLE = {The set of positive semidefinite solutions of the algebraic
{R}iccati equation of discrete-time optimal control},
JOURNAL = {IEEE Trans. Automat. Control},
FJOURNAL = {Institute of Electrical and Electronics Engineers.
Transactions
on Automatic Control},
VOLUME = {41},
YEAR = {1996},
NUMBER = {5},
PAGES = {660--671},
ISSN = {0018-9286},
CODEN = {IETAA9},
}
@techreport {Wu:98,
author = "Z. WU",
title = "A subgradient algorithm for nonlinear integer
programming",
institution = "Rice University",
address = "Houston, Tx",
keywords = "nonlinear, integer programming",
year = "1998"
}
% YYYYYYYYYYYYYYYY
@article{
Yak:65,
author={V.A. YAKUBOVICH},
title={The method of matrix inequalities in the stability
theory of nonlinear control systems, {$I$, $II$, $III$}},
journal=arc,
year={1967},
volume={25-26},
number={4},
pages={905-917, 577-592, 753-763},
month=apr
}
@article {MR93g:49026,
AUTHOR = {YAKUBOVICH, V.A.},
TITLE = {Nonconvex optimization problem: the infinite-horizon
linear-quadratic control problem with quadratic
constraints},
JOURNAL = {Systems Control Lett.},
FJOURNAL = {Systems \& Control Letters},
VOLUME = 19,
YEAR = 1992,
NUMBER = 1,
PAGES = {13--22},
ISSN = {0167-6911},
CODEN = {SCLEDC},
}
@article {Ya:73,
AUTHOR = {YAKUBOVICH, V.A.},
TITLE = {Minimization of quadratic functionals under the
quadratic constraints and the necessity of a
frequency condition in the quadratic criterion for
absolute stability of nonlinear control systems},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {209},
YEAR = {1973},
NUMBER = {14},
PAGES = {1039--1042},
}
@article {Ya:71,
AUTHOR = {YAKUBOVICH, V.A.},
TITLE = {The {S}-procedure and duality theorems for nonconvex
problems of quadratic programming},
JOURNAL = {Vestnik Leningrad. Univ.},
FJOURNAL = {Vestnik Leningradskogo Universiteta},
VOLUME = 1973,
YEAR = {1973},
NUMBER = 1,
PAGES = {81--87},
}
@article {MR95m:68087,
AUTHOR = {YANNAKAKIS, M.},
TITLE = {On the approximation of maximum satisfiability},
NOTE = {Third Annual ACM-SIAM Symposium on Discrete Algorithms
(Orlando, FL, 1992)},
JOURNAL = {J. Algorithms},
FJOURNAL = {Journal of Algorithms},
VOLUME = {17},
YEAR = {1994},
NUMBER = {3},
PAGES = {475--502},
ISSN = {0196-6774},
CODEN = {JOALDV},
}
@article {Yinye:97,
author = "Y. YE",
title = "Approximating quadratic programming with
bound and quadratic constraints",
institution = "Department of Management Sciences
The University of Iowa",
address = "Iowa city, IA 522542",
keywords = "semidefinite programming;
quadratic programming, cone programming; sdp; coneprog",
VOLUME = {84},
journal = mp,
PAGES = {219-226},
year = "1999"}
@article {Ye-1,
author = "Y. YE",
TITLE = "On affine scaling algorithms for nonconvex quadratic
programming",
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {56},
YEAR = {1992},
PAGES = {285--300},
}
@book {Yinye:97b,
author = "Y. YE",
title = "Interior Point Algorithms: Theory and
Analysis",
publisher = "John Wiley \& Sons",
series = "Wiley-Interscience series in
Discrete Mathematics and Optimization",
address = "New York",
year = "1997"}
@techreport{biswasliangtohwangye,
author = "BISWAS, P. and LIANG, T.C. and TOH, K.C. and WANG, T.C.
and YE, Y.",
title = "Semidefinite Programming Approaches for Sensor Network
Localization with Noisy Distance Measurements",
year = "2005",
institution = "Operation Research, Stanford University",
address = "Stanford, CA",
}
@article {MR2015907,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. A.},
TITLE = {An interior-point perspective on sensitivity analysis in
semidefinite programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {28},
YEAR = {2003},
NUMBER = {4},
PAGES = {649--676},
ISSN = {0364-765X},
MRCLASS = {90C31 (90C05 90C22)},
MRNUMBER = {2 015 907},
}
@article {MR2003b:90137,
AUTHOR = {Yildirim, E. Alper and Wright, Stephen J.},
TITLE = {Warm-start strategies in interior-point methods for linear
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {782--810 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C51 (90C05)},
MRNUMBER = {2003b:90137},
MRREVIEWER = {Carla Durazzi},
}
@article {MR2003d:90107,
AUTHOR = {Yildirim, E. Alper and Todd, Michael J.},
TITLE = {An interior-point approach to sensitivity analysis in
degenerate linear programs},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {692--714 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C31 (90C05)},
MRNUMBER = {2003d:90107},
MRREVIEWER = {Sven-{\AA}ke Gustafson},
}
@article {MR2002c:90079,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. Alper and Todd, Michael J.},
TITLE = {Sensitivity analysis in linear programming and
semidefinite
programming using interior-point methods},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {90},
YEAR = {2001},
NUMBER = {2, Ser. A},
PAGES = {229--261},
ISSN = {0025-5610},
MRCLASS = {90C31 (90C22 90C51)},
MRNUMBER = {2002c:90079},
MRREVIEWER = {Shu Zhong Zhang},
}
@article{YildTodd:99,
author = "E.A. YILDIRIM and M.J. TODD",
title = "Sensitivity analysis in linear programming and semidefinite
programming using interior-point methods",
year = "1999",
number = "TR1253",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@techreport{Yild:01,
author = "E.A. YILDIRIM",
title = "An Interior-Point Perspective on Sensitivity Analysis in
Semidefinite Programming",
year = "2001",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@techreport{Yild:04,
author = "E.A. YILDIRIM",
title = "Unifying optimal partition approach to sensitivity analysis in
conic optimization",
year = "2004",
institution = "Stony Brook University",
address = "Stony Brook, NY",
}
% ZZZZZZZZZZZZZZZZZZ
@TECHREPORT {Zhang:95,
author = "Y. ZHANG",
title = "Basic equalities and inequalities in primal-dual
interior-point methods for semidefinite programming",
institution = "Department of Mathematics and Statistics,
University of Maryland Baltimore County",
keywords = "semidefinite programming; cone programming;
sdp;
coneprog",
year = "1995"}
@article {MR89b:15040,
AUTHOR = {ZHANG, F. Z.},
TITLE = {On the best {E}uclidean fit to a distance matrix},
JOURNAL = {Beijing Shifan Daxue Xuebao},
FJOURNAL = {Beijing Shifan Daxue Xuebao. Ziran Kexue Ban. Journal of
Beijing Normal University (Natural Science)},
YEAR = {1987},
VOLUME = {4},
PAGES = {21--24},
ISSN = {0476-0301},
}
@article {ZhuCosBeas:03,
AUTHOR = {Z. ZHU and D.C. COSTER and L.B. BEASLEY},
TITLE = {Properties of a Covariance Matrix with an Application
to {D}-optimal Design},
JOURNAL = ela,
YEAR = {2003},
VOLUME = {10},
PAGES = {65--76},
}
@techreport {Ziegler:99,
author = "G.M. ZIEGLER",
title = "Lectures on 0/1-polytopes",
institution = "Technische Universitat Berlin",
year = "1999",
address = "Berling, Germany"
}
@ARTICLE {Zieb:98,
author = "A.D. ZIEBUR",
title = "Chain rules for functions of matrices",
journal = laa,
year = "1998",
volume = "283",
pages = "87-97"}
@TECHREPORT {ZoBySch:96,
author = "Z. ZOU and R.H. BYRD and R.B. SCHNABEL",
title = "A stochastic/perturbation global optimization
algorithm for distance geometry problems",
institution = "Dept. of Computer Science, University of
Colorado",
year = "1996",
address = "Boulder, Co"}
# distance matrix references
@BOOK{ch88,
AUTHOR= "G.M. CRIPPEN AND T.F. HAVEL",
TITLE = "Distance Geometry and Molecular Conformation",
PUBLISHER = "Wiley, New York",
YEAR =1988 }
@INCOLLECTION{con93,
AUTHOR ="R. CONNELLY",
EDITOR ="Gruber P. M. and Wills J. M.",
TITLE ="Rigidity",
BOOKTITLE ="Handbook of Convex Geometry",
PAGES ={223--271},
YEAR =1993 }
@ARTICLE{cri88,
AUTHOR ="F. CRITCHLEY",
TITLE ="On certain linear mappings between inner-product and squared distance
matrices",
JOURNAL=laa,
VOLUME=105 ,
PAGES ={91--107} ,
YEAR=1988 }
##### bib entries from Levent Tuncel follow
##### This will cause duplication which will be straightened out later
@article {MR2003j:90035,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {On the finite convergence of successive {SDP} relaxation
methods},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {325--341},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2003j:90035},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1932386,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Some fundamental properties of successive convex
relaxation
methods on {LCP} and related problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {24},
YEAR = {2002},
NUMBER = {3},
PAGES = {333--348},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C33 (90C09 90C11 90C20 90C48)},
MRNUMBER = {1 932 386},
MRREVIEWER = {Panos M. Pardalos},
}
@article {MR2002e:90070,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Discretization and localization in successive convex
relaxation methods for nonconvex quadratic optimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2000},
NUMBER = {1, Ser. A},
PAGES = {79--111},
ISSN = {0025-5610},
MRCLASS = {90C26 (90C08 90C34 90C51)},
MRNUMBER = {2002e:90070},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@article {AlHaOv:98,
author = "F. ALIZADEH and J-P.A. HAEBERLY and M.L. Overton",
title = "Primal-dual interior-point methods for
semidefinite programming: Convergence rates, stability and numerical results",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "746-768"
}
@book{FarautKoranyi:94,
author = "J. FARAUT and A. KORANYI",
title = "Analysis on Symmetric Cones",
year = "1994",
series = "",
publisher = "Oxford University Press",
address = "NY, USA"
}
@book{FiaccoMcCormick:90,
author = "A.V. FIACCO and G.P. McCORMICK",
title = "Nonlinear programming sequential unconstrained
minimization techniques",
year = "1990",
series = "Classics in Applied Mathematics",
publisher = "SIAM",
address = "Philadelphia, PA, USA"
}
@techreport {Frisch:55,
author = "K.R. FRISCH",
title = "The logarithmic potential method of
convex programming",
institution = "Institute of Economics, Oslo University",
year = "1955",
address = "Oslo, Norway"
}
@article {GonzagaTodd:92,
author = "C.C. GONZAGA and M.J. TODD",
title = "An {O}$(\sqrt{n}{L})$-iteration
large-step primal-dual affine algorithm for linear
programming",
journal = siopt,
year = "1992",
volume = "2",
pages = "349-359"
}
@article {Guler:96,
author = "O. G{\" U}LER",
title = "Barrier functions in interior point
methods",
journal = mor,
year = "1996",
volume = "21",
pages = "860-885"
}
@article {Guler:97,
author = "O. G{\" U}LER",
title = "Hyperbolic polynomials and
interior point methods for convex programming",
journal = mor,
year = "1997",
volume = "22",
pages = "350-377"
}
@techreport {Guler:98,
author = "O. G{\" U}LER",
title = "Private communication",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "January 1998"
}
@techreport {GulerTuncel:97,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
title = "Manuscript",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "1997"
}
@article {GulerTuncel:98,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
title = "Characterization of the barrier parameter of
homogeneous convex cones",
journal = mprog,
year = "1998",
volume = "81",
pages = "55-76"
}
@article {Karmarkar:84,
author = "N.K. KARMARKAR",
title = "A new polynomial time algorithm for
linear programming",
journal = "Combinatorica",
year = "1984",
volume = "4",
pages = "373-395"
}
@book{KMNY:91,
author = "M. KOJIMA and N. MEGIDDO and T. NOMA and A. YOSHISE",
title = "A Unified Approach to
Interior Point Algorithms for Linear Complementarity Problems",
year = "1991",
series = "Lecture Notes in Computer Science",
publisher = "Springer-Verlag",
address = "NY, USA"
}
@article {KMY:89,
author = "M. KOJIMA and S. MIZUNO and A. YOSHISE",
title = "A polynomial time
algorithm for a class of linear complementarity problems",
journal = mprog,
year = "1989",
volume = "44",
pages = "1-26"
}
@article {KMY:91,
author = "M. KOJIMA and S. MIZUNO and A. YOSHISE",
title = "An {O}${(\sqrt{n}{L})}$ iteration
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##### From Oustry-Helmberg
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###from Dimitris Bertsimis
### strings moved to .master.bib
% BiBTeX data base for Concurent mapping and localisation
%--------------------------------------------------------------------
%% bibtextfile{
%% author = "Ioana Popescu",
%% version = "1.0",
%% date = "February 7, 1998",
%% filename = "cml.bib",
%% address = "OR Center Rm. E40-130
%% MIT, 77 Mass. Ave,
%% Cambridge, MA 02139, USA",}
%---------------------------------------------------------------------
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%------------------------- Optimization ---------------------------------
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%------------------------ Approximation Algorithms ----------------------
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%------------------------ Complexity ------------------------------
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%---------------------- Inventory -------------------------------------
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%-------------------------------Queueing-------------------------------------
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##### From Jarre bbl file in Convex paper
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## from deKlerk et al start
@inproceedings{int:deklerk7,
author = {de KLERK, E. and C. ROOS and T. TERLAKY},
title = {Infeasible--start semidefinite programming algorithms via self--dual
embeddings},
editors = {P.~M. Pardalos and H.~Wolkowicz},
booktitle = {Topics in
Semidefinite and Interior-Point Methods},
volume = {18},
series = {The Fields Institute for Research in Mathematical Sciences,
Communications Series},
pages = {215--236},
publisher = {American Mathematical Society},
year = {1998}
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author = {de KLERK, E. and C. ROOS and T. TERLAKY},
title = {On primal--dual path--following algorithms in semidefinite
programming},
editors = {F.~Giannessi, S.~Koml\'{o}si, and T.~Rapcs\'{a}k},
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address = {Dordrecht, The Netherlands},
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}
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author = {T.~ILL{\'E}S and J.~PENG and C.~ROOS and and T.~TERLAKY},
title = {A strongly polynomial rounding procedure yielding a maximally
complementary solution for {P}$^*(\kappa)$ linear complementarity problems},
number = {98--15},
institution = {Faculty of Technical Mathematics and
Computer Science},
address = {Delft University of Technology, Delft, The Netherlands},
year = {1998}
}
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author = {J.~JIANG},
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semidefinite
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CODEN = {ORLED5},
MRCLASS = {90C25 (90C08)},
MRNUMBER = {99i:90071},
MRREVR = {Michael L. Dowling},
}
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author = {M.V. RAMANA and P.M. PARDALOS},
title = {Semidefinite programming},
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year = {1996}
}
@techreport{int:Stoer2,
author = {J.~STOER and M.~WECHS},
title = {Infeasible-interior-point paths for sufficient linear complementarity
problems and their analyticity},
note = {Manuscript},
institution = {Institut f\"ur Angewandte Mathematik und Statistik},
address = {Universit\"at W\"urzburg, W\"urzburg, Germany},
year = {1996}
}
## from deKlerk et al end
## from Mike Todd et al beginning
%Henry, I've been doing some work on cleaning up our chapter, though
%the text is much the same as what you have. In particular, I've been
%preparing a bib file. This has some additions to your master list,
%as well as some updates (marked by %%**). It's included below.
@techreport {Ko:95,
author = "M. KOJIMA",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
title = "Private communication",
year = "1995"
}
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author = "R.D.C. MONTEIRO",
title = "Polynomial convergence of primal-dual algorithms for
semidefinite programming based on the {Monteiro and Zhang}
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journal = siopt,
year = "1998",
volume = "8",
pages = "797-812"
}
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author = "R.D.C. MONTEIRO and T. TSUCHIYA",
title = "Polynomiality of Primal-Dual algorithms for semidefinite
Linear
Complementarity Problems Based on the {Kojima-Shindoh-Hara}
Family of Directions",
journal = mprog,
volume = "84",
year = "1999",
pages = "39--53"
}
@techreport{tseng:96,
AUTHOR = "P. TSENG",
Title = {FURTHER NOTES ON THE EXISTENCE OF SEARCH
DIRECTIONS IN INTERIOR-POINT METHODS FOR THE MONOTONE SEMI-DEFINITE
{LCP}},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-96},
Year = 1996}
@article{Tse:98,
AUTHOR = "P. TSENG",
TITLE = "Search directions and convergence
analysis of some infeasible path-following methods
for the monotone semi-definite {LCP}",
journal=oms,
pages = "245-268",
volume = "9",
year={1998}
}
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author = "Y. ZHANG",
title = "On extending some primal-dual interior-point algorithms
from linear programming to semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "365-386"
}
## from Mike Todd et al end
## from Ragu et al end
#
@inproceedings{ ElB:94,
author={L. {EL~GHAOUI} and V. BALAKRISH},
title={{S}ynthesis of Fixed-structure Controllers
via Numerical Optimization},
booktitle=cdc,
month=dec,
year={1994},
pages={2678-2683},
}
## from Ragu et al end
###From Laurent:
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}
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AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
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PAGES = {1--13},
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MRNUMBER = {2001i:90037},
}
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AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
TITLE = {Robust optimization---methodology and applications},
NOTE = {ISMP 2000, Part 2 (Atlanta, GA)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {92},
YEAR = {2002},
NUMBER = {3, Ser. B},
PAGES = {453--480},
ISSN = {0025-5610},
MRCLASS = {90C25 (90C31)},
MRNUMBER = {MR1905762 (2003d:90074)},
MRREVIEWER = {Stephan Dempe},
}
@article {MR2001h:90038,
AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.},
TITLE = {Robust solutions of linear programming problems
contaminated
with uncertain data},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {88},
YEAR = {2000},
NUMBER = {3, Ser. A},
PAGES = {411--424},
ISSN = {0025-5610},
MRCLASS = {90C05 (90C20 90C31)},
MRNUMBER = {2001h:90038},
MRREVIEWER = {Jos F. Sturm},
}
@article{BNRT,
AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
TITLE = {Robust truss topology design via semidefinite programming},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {4},
PAGES = {991--1016},
ISSN = {1052-6234},
CODEN = {SJOPE8},
}
@techreport{bentalnemirov:98,
AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
Title = {{Convex Optimization in Engineering:
Modeling, Analysis, Algorithms}},
institution = {Delft University of Technology},
address = {Delft, The Netherlands},
number = {on notes from course given by A. Nemirovski},
Year = 1998}
@article{BNRT:00,
AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
title = "On the quality of semidefinite approximations of uncertain
semidefinite programs affected by box uncertainty",
year = "2000",
institution = "MINERVA Optimization Center, Technion -
Israel Institute of Technology",
address = "Technion City, Haifa 32000, Israel",
number = {2/00},
}
@article{BenKocNemZow:99,
AUTHOR = {BEN-TAL, A. and KOCVARA, M. and NEMIROVSKI, A.S. and ZOWE, J.},
TITLE = {Free Material Design via Semidefinite Programming: The Multiload
Case with Contact Conditions},
JOURNAL = siopt,
VOLUME = {9},
YEAR = {1999},
NUMBER = {4},
PAGES = {813 - 832},
}
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year = "1996"
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author = "R.E. MOORE",
title = "Methods and Applications of Interval Analysis",
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}
#### end from Laurent
##### from math sci search for quadratic
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#####additions from two chapters
## put temporary bib entries here to check for typos
#
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Second-Order Cone Program Based on the {MZ}-Family of Directions",
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#Chapter 10 bibliography entries
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author = {M.~KOJIMA},
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%bibliography entries from Chapter 18
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###extra refs from Goemans - end
###extra refs about matrix completions start
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MRNUMBER = {97h:15028},
MRREVR = {Hugo Jan Woerdeman},
}
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MRCLASS = {15A57},
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JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {121},
YEAR = {1989},
PAGES = {265--289},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A15 (05C50)},
MRNUMBER = {90m:15010},
MRREVR = {L. Rodman},
}
@incollection {MR90k:15008,
AUTHOR = {JOHNSON, C.R. and RODMAN, L.},
TITLE = {Chordal inheritance principles and positive definite
completions of partial matrices over function rings},
BOOKTITLE = {Contributions to operator theory and its applications (Mesa,
AZ, 1987)},
PAGES = {107--127},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1988},
MRCLASS = {15A54 (05C50 15A60)},
MRNUMBER = {90k:15008},
MRREVR = {Robert Grone},
}
@article {MR86d:15009,
AUTHOR = {NEWMAN, M.},
TITLE = {Matrix completion theorems},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {94},
YEAR = {1985},
NUMBER = {1},
PAGES = {39--45},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {15A33 (15A57)},
MRNUMBER = {86d:15009},
MRREVR = {William H. Gustafson},
}
@article {MR86b:15026,
AUTHOR = {JOHNSON, C.R. and RODMAN, L.},
TITLE = {Inertia possibilities for completions of partial {H}ermitian
matrices},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {16},
YEAR = {1984},
NUMBER = {1-4},
PAGES = {179--195},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A57 (15A18)},
MRNUMBER = {86b:15026},
MRREVR = {Bryan E. Cain},
}
###extra refs about matrix completions end
### correlation matrices references
@article {MR1929023,
AUTHOR = {LI, C.K. and PIERCE, S.},
TITLE = {Linear operators preserving correlation matrices},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {131},
YEAR = {2003},
NUMBER = {1},
PAGES = {55--63 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {15A04},
MRNUMBER = {1 929 023},
MRREVIEWER = {Chong Guang Cao},
}
@article {MR1896990,
AUTHOR = {Parthasarathy, K. R.},
TITLE = {On extremal correlations},
NOTE = {C. R.\ Rao 80th birthday felicitation volume, Part I},
JOURNAL = {J. Statist. Plann. Inference},
FJOURNAL = {Journal of Statistical Planning and Inference},
VOLUME = {103},
YEAR = {2002},
NUMBER = {1-2},
PAGES = {173--180},
ISSN = {0378-3758},
CODEN = {JSPIDN},
MRCLASS = {62H20 (15A48)},
MRNUMBER = {1 896 990},
}
@article {MR2002g:65045,
AUTHOR = {Davies, Philip I. and Higham, N.J.},
TITLE = {Numerically stable generation of correlation matrices and
their factors},
JOURNAL = {BIT},
FJOURNAL = {BIT. Numerical Mathematics},
VOLUME = {40},
YEAR = {2000},
NUMBER = {4},
PAGES = {640--651},
ISSN = {0006-3835},
MRCLASS = {65F18},
MRNUMBER = {2002g:65045},
MRREVIEWER = {Ram Shanmugam},
}
#
# Following are my personal publications (Henry Wolkowicz & co-authors/students)
#
# This file contains personal publication bib entries (including
## student theses.
## The bib entries were taken from MathSci - May 10, 2000.
##
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
# An http version has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/refpubl/refpubl.html
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
#
###################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
#
#
# 1. Books and special issues first.
# 2. Chapters in Books second
# 3. Papers in refereed Journals third
# 3. Papers in refereed Conference Proceedings fourth
# 4. Technical Reports fifth
# 5. Theses (including students' theses) sixth
# 111111 BOOKS BOOKS (authored and edited)
@book{PardWo:01,
EDITOR = "P. PARDALOS and H. Wolkowicz",
TITLE = {New Approaches to Hard Discrete Optimization},
NOTE = {Papers from the workshop held at the University of Waterloo,
ON, May, 2001,
J. Comb. Opt.},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Hingham, MA},
YEAR = {2002},
volume = {6 \#3},
PAGES = {235-352},
ISSN = {1382-6905},
MRCLASS = {},
MRNUMBER = {},
}
@proceedings{PardWolk:02,
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
TITLE = {Novel Approaches to Hard Discrete Optimization},
BOOKTITLE = {Proceedings of the workshop held in Waterloo, ON, May 2001},
EDITOR = "P. PARDALOS and H. Wolkowicz",
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2003},
PAGES = {181},
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html"
}
@proceedings{PardWolk:96,
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
TITLE = {Topics in Semidefinite and Interior-Point Methods},
BOOKTITLE = {Proceedings of the workshop held in Toronto, ON, May 1996},
EDITOR = "P. PARDALOS and H. Wolkowicz",
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xx+250},
ISBN = {0-8218-0825-7},
MRCLASS = {90-06},
MRNUMBER = {98j:90005},
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html"
}
@book{PardWolk:97,
EDITOR = "P. PARDALOS and H. Wolkowicz",
TITLE = {Semidefinite Programming and Interior-Point Approaches for
Combinatorial Optimization Problems},
NOTE = {Papers from the workshop held at the University of Toronto,
Toronto, ON, May 15--17, 1996,
J. Comb. Optim. {\bf 2} (1998), no. 1},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Hingham, MA},
YEAR = {1998},
PAGES = {1--109},
ISSN = {1382-6905},
MRCLASS = {90-06 (90C26 90C27)},
MRNUMBER = {99a:90012},
}
@book{OvWo:96,
TITLE = {Semidefinite Programming},
EDITOR = "M.L. Overton and H. Wolkowicz",
NOTE = {Dedicated to the memory of Svatopluk Poljak,
Math. Programming {\bf 77} (1997), no. 2, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1997},
PAGES = {i--ii and 97--320},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90-06 (00B30)},
MRNUMBER = {98a:90010},
}
@book{PSWZ:94,
TITLE = {Special Issue Honoring Ingram Olkin},
EDITOR = {F. PUKELSHEIM and G. P. H. STYAN and H. Wolkowicz and I.
ZABALLA},
NOTE = {Linear Algebra and Its Applications
{\bf 199} (1994)},
PUBLISHER = {Elsevier Science Inc.},
YEAR = {1994},
PAGES = {i--viii and 445 pp.},
}
@book{PardWolk:94, EDITOR = "P. PARDALOS and H. Wolkowicz",
TITLE = {Quadratic assignment and related problems},
NOTE = {Papers from the workshop held at Rutgers University, New
Brunswick, New Jersey, May 20--21, 1993},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1994},
PAGES = {xii+364},
ISBN = {0-8218-6607-9},
MRCLASS = {90-06 (90C27 90C30 90C35)},
MRNUMBER = {95b:90005},
}
# 222222 CHAPTERS (chapters in books)
###############################
@incollection{WoHLA:05,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "CRC Handbook of Linear Algebra (HLA)",
editor = "Leslie Hogben",
Publisher="CRC Press",
ADDRESS = {},
pages = {to appear},
year = "2006"
}
@incollection{Wolknonlinassign:99,
author = "H. Wolkowicz",
title = "Semidefinite Programming Approaches to
the Quadratic Assignment Problem",
booktitle = "Nonlinear Assignment Problems:
Algorithms and Applications",
editor = "P.M. Pardalos and L. Pitsoulis",
Publisher="Kluwer Academic Publishers",
address = "Dordrecht",
volume = "7",
year = "2000",
pages = {143-174},
}
@incollection{AlWo:99,
author = "A. ALFAKIH and H. Wolkowicz",
title = "Matrix Completion Problems",
booktitle = "HANDBOOK OF SEMIDEFINITE PROGRAMMING:
Theory, Algorithms, and Applications",
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = {533-545},
year = "2000"
}
@incollection{NeWoYe:99,
author = "Y.E. Nesterov and H. Wolkowicz and Y. YE",
title = "Semidefinite Programming Relaxations of Nonconvex
Quadratic Optimization",
booktitle = "HANDBOOK OF SEMIDEFINITE PROGRAMMING:
Theory, Algorithms, and Applications",
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = {361-420},
year = "2000"
}
@incollection{KrukWolk:99,
author = "S. KRUK and H. Wolkowicz",
TITLE = "General Nonlinear Programming",
booktitle = "HANDBOOK OF SEMIDEFINITE PROGRAMMING:
Theory, Algorithms, and Applications",
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = {563-575},
year = "2000"
}
@incollection{wolkcamb:99,
author = "H. Wolkowicz",
title = "Semidefinite and {L}agrangian Relaxations for hard
combinatorial problems",
booktitle = "Proceedings of 19th IFIP TC7 Conference on
System Modelling and Optimization, July, 1999, Cambridge",
editor = "M.J.D. Powell",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = {269-309},
year = "2000"
}
@incollection{Wolkapplhand:99,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "Handbook of
Applied Optimization",
editor = "P.M. Pardalos and M.G.C. Resende",
Publisher="Oxford University Press, New York",
ISBN = {0-19-512594-0},
year = "2002",
pages = {40-50},
}
@incollection{wolk:98,
author="H. Wolkowicz",
title = "Duality for Semidefinite Programming",
institution="University of Waterloo",
type="Research Report",
booktitle="Encyclopedia of Optimization",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = "",
year="2001",
}
# 333333 PAPERS in REFEREED JOURNALS
###############################
# start of journal ... PAPERS
###############################
############ YEAR 2005
@techreport{AlfakihWolk:05,
author="A. ALFAKIH and H. Wolkowicz",
title = "Necessary and Sufficient Trace Inequalities for
Euclidean Distance Matrices",
institution="University of Waterloo",
number="CORR 2005-21",
address="Waterloo, Ontario",
year="2005",
}
@techreport{GroWo:05,
author="O. GRODZEVICH and H. Wolkowicz",
title = "Regularization Using a Parameterized Trust Region Subproblem",
institution="University of Waterloo",
number="CORR 2005-11",
address="Waterloo, Ontario",
year="2005",
}
############ YEAR 2004
@techreport{GoWo:04,
author="M. GONZALEZ-LIMA and H. WEI and H. Wolkowicz",
title = "A Stable Iterative Method for Linear Programming",
institution="University of Waterloo",
number="CORR 2004-26",
address="Waterloo, Ontario",
year="2004",
}
@article{homwolkA:04,
author = "AL-HOMIDAN, S. and H. Wolkowicz",
TITLE = {Approximate and exact completion problems for {E}uclidean
distance matrices using semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {406},
YEAR = {2005},
PAGES = {109--141},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C22 (15Axx)},
MRNUMBER = {MR2156431},
}
@techreport{hompicwolk:04,
author = "AL-HOMIDAN, S. and PICCIALLI, V. and H. Wolkowicz",
title = "Relations between Approximate and Exact Completion Problems for
{E}uclidean Distance Matrices",
institution="University of Waterloo",
number="in progress",
address="Waterloo, Ontario",
year="2004"
}
############ YEAR 2003
@article{ScTuWolk:03,
author = "L. Tun{\c{c}}el and H. Wolkowicz",
TITLE = {Strengthened existence and uniqueness conditions for search
directions in semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {400},
YEAR = {2005},
PAGES = {31--60},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C22 (15A39)},
MRNUMBER = {MR2131915 (2006a:90070)},
MRREVIEWER = {Etienne de Klerk},
}
############ YEAR 2002
@techreport{AlWolk:02,
author = "A. ALFAKIH and H. Wolkowicz",
title = "Euclidean Distance Matrices and the
Molecular Conformation Problem",
institution="University of Waterloo",
number="17",
address="Waterloo, Ontario",
year="2002"
}
@techreport{Wolk:02,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
institution="University of Waterloo",
number="4",
address="Waterloo, Ontario",
year="2002"
}
@techreport{ReSoWo:02,
author = "F. RENDL and R. SOTIROV and H. Wolkowicz",
title = "A Note on a Simplified {HKM} Direction
for Special Classes of {SDP}",
institution = "University of Waterloo",
number = "CORR Report 2002-16",
year = "2002",
address = "Waterloo, Canada"
}
@techreport{SoWo:02,
author = "R. SOTIROV and H. Wolkowicz",
title = "Solving {L}ov\'asz Theta Function Problems
Using an Inexact {G}auss-{N}ewton method",
institution = "University of Waterloo",
number = "in progress",
year = "2002",
address = "Waterloo, Canada"
}
############ YEAR 2001
@article{Wolk:01,
author="H. Wolkowicz",
title = "Solving Semidefinite Programs using Preconditioned Conjugate
Gradients",
pages = "653-672",
volume = "19",
number = "6",
journal = oms,
year="2004",
}
@techreport{GoWo:01,
author="M. GONZALEZ-LIMA and H. WEI and H. Wolkowicz",
title = "A Simple Iterative Method for Linear Programming",
institution="University of Waterloo",
number="CORR 2001-in progress",
address="Waterloo, Ontario",
year="2001",
}
@techreport{GrWeWo:03,
author="O. GRODZEVICH and H. WEI and H. Wolkowicz",
title = "Broadband and IP:
Modelling, Scheduling, and Optimization",
institution="University of Waterloo",
number="CORR 2001-in progress",
address="Waterloo, Ontario",
year="2001",
}
@techreport{AnjosHighWolk:01,
author="M.F. ANJOS and N. Higham and M. TAKOUDA and H. Wolkowicz",
title = "A semidefinite programming approach for the closest
correlation matrix problem",
institution="University of Waterloo",
number="CORR 2001-in progress",
address="Waterloo, Ontario",
year="2001",
}
@article{AnjosWolk:01,
author="M.F. ANJOS and H. Wolkowicz",
title = "Geometry of Semidefinite Max-Cut Relaxations via Ranks",
institution="University of Waterloo",
note="CORR 2001-39",
address="Waterloo, Ontario",
volume={6},
journal=jco,
year="2002",
pages="237-270"
}
@techreport{SoWo:01,
author = "R. SOTIROV and H. Wolkowicz",
title = "The Simple Method for the {SDP}
Relaxation of the {QAP}",
institution = "University of Waterloo",
number = "in progress",
year = "2001",
address = "Waterloo, Canada"
}
@techreport{FortinWolk:01,
author = "C. FORTIN and H. Wolkowicz",
title = "A Survey of the Trust Region Subproblem Within a
Semidefinite Programming Framework",
institution = "University of Waterloo",
number = "CORR 2002-22",
year = "2002",
note="URL:http://orion.math.uwaterloo.ca:80/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#surveytrs",
address = "Waterloo, Canada"
}
@article{FortinWolk:03,
author = "C. FORTIN and H. Wolkowicz",
title = "The Trust Region Subproblem and Semidefinite
Programming",
institution = "University of Waterloo",
number = "1",
volume = "19",
journal = "Optimization Methods and Software",
pages = "41-67",
year = "2004",
note = "special issue
dedicated to Jochem Zowes 60th birthday,
Guest Editors: Florian Jarre and Michal Kocvara",
publisher="Taylor and Francis Publisher",
address = "Waterloo, Canada"
}
@article{AlWo:01,
author = "A. ALFAKIH and H. Wolkowicz",
title = "Two Theorems On {E}uclidean Distance Matrices and {G}ale
Transform",
institution = "University of Waterloo",
volume="340",
number="1-3",
pages = "149-154",
journal= laa,
year = "2001",
}
@techreport{AnjosWolk:01a,
author="M.F. ANJOS and H. Wolkowicz",
title = "A New Rounding Procedure for the Max-Cut Problem I:
Empirical Results",
institution="University of Waterloo",
number="CORR 2000-in progress",
address="Waterloo, Ontario",
year="2001",
}
@techreport{AnjosWolk:01b,
author="M.F. ANJOS and H. Wolkowicz",
title = "A New Rounding Procedure for the Max-Cut Problem II:
Theoretical Results",
institution="University of Waterloo",
number="CORR 2000-in progress",
address="Waterloo, Ontario",
year="2001",
}
############ YEAR 2000
@article{AnjosWolkb:00,
author="M.F. ANJOS and H. Wolkowicz",
title = "Semidefinite Programming for Discrete Optimization
and Matrix Completion Problems",
institution="University of Waterloo",
number="CORR 2000-38",
address="Waterloo, Ontario",
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
Optimization and Computer Science},
volume="123/124",
pages="507-571",
year="2002",
}
@techreport{Wo:00,
author = "A. ALFAKIH and H. Wolkowicz",
title = "A New Semidefinite Programming Model
for Large Sparse
{E}uclidean Distance Matrix Completion Problems",
institution = "University of Waterloo",
number = "CORR 2000-37",
note = "in progress",
year = "2000",
address = "Waterloo, Canada"
}
@article{KrWo:00,
author = " S. KRUK and H. Wolkowicz",
title = "Convergence of an infeasible short-step
path-following algorithm based on
the {G}auss-{N}ewton direction",
institution = "University of Waterloo",
number = "CORR 2000-23",
journal = "J. Appl. Math.",
bibsource = "http://jam.hindawi.com/volume-2003/S1110757X03301081.html",
pages = "517-534",
volume = "10 ",
year = "2003",
address = "Waterloo, Canada"
}
@article{AnWo:00,
author="M.F. ANJOS and H. Wolkowicz",
title = "A STRENGTHENED {SDP} RELAXATION via a SECOND LIFTING
for the {M}AX-{C}UT PROBLEM",
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
Optimization and Computer Science},
volume="119",
pages="79-106",
year="2002",
}
############ YEAR 1999
@article{wolkgap:99,
author = "H. Wolkowicz",
title = "A Note on Lack of Strong duality
for Quadratic Problems with Orthogonal Constraints",
institution="University of Waterloo",
journal = ejor,
volume={143},
number={2},
pages = {356-??},
year = "2002"
}
@article{NaWoZh:97,
author = "J.L. NAZARETH and H. Wolkowicz and M. ZHU",
TITLE = {The quasi-{C}auchy relation and diagonal updating},
NOTE = {Dedicated to John E. Dennis, Jr., on his 60th birthday},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {9},
YEAR = {1999},
NUMBER = {4},
PAGES = {1192--1204 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90Cxx (65Fxx)},
MRNUMBER = {1 724 783},
}
@techreport{AnWo:99,
author="M.F. ANJOS and H. Wolkowicz",
title = "A STRENGTHENED {SDP} RELAXATION via a SECOND LIFTING
for the {M}AX-{C}UT PROBLEM",
institution="University of Waterloo",
number="CORR 99-55",
note = "28 pages",
address="Waterloo, Ontario",
year="1999",
}
############ YEAR 1998
@techreport{GrKrReWo:98,
author="G. GRUBER and S. KRUK and F. RENDL and H. Wolkowicz",
title = "Presolving for
Semidefinite Programs Without
Constraint Qualifications",
institution="University of Waterloo",
number="CORR 98-32",
address="Waterloo, Ontario",
year="1998",
}
@article{AnChWoYu:98,
author="K.M. ANSTREICHER and X. CHEN and H. Wolkowicz and Y. YUAN",
TITLE = {Strong duality for a trust-region type relaxation of the
quadratic assignment problem},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {301},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {121--136},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90Cxx},
MRNUMBER = {1 728 045}
}
@article{AnWo:98,
author="K.M. ANSTREICHER and H. Wolkowicz",
title = "On {L}agrangian relaxation of
quadratic matrix constraints",
journal = simax,
volume = "22",
number = "1",
institution="University of Waterloo",
address="Waterloo, Ontario",
year="2000",
pages = "41-55",
}
@techreport{AlWo:98,
author = "A. ALFAKIH and H. Wolkowicz",
title = "On the embeddability of weighted graphs in
{E}uclidean spaces",
institution = "University of Waterloo",
number = "CORR 98-12",
year = "1998",
}
@article{KrWo:98,
AUTHOR = {KRUK, S. and Wolkowicz, H.},
TITLE = {Pseudolinear programming},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review},
VOLUME = {41},
YEAR = {1999},
NUMBER = {4},
PAGES = {795--805 (electronic)},
ISSN = {1095-7200},
MRCLASS = {90C08 (90C30)},
MRNUMBER = {2000f:90030},
}
############ YEAR 1997
@article{Wolk:image98,
author="Wolkowicz, H.",
title="Semidefiniteness of a sum: Problem Solution 19-5.5",
journal="IMAGE, The Bulletin of ILAS",
volume="20",
year="1998",
pages="30-31"
}
@inproceedings{KrWo:97,
author="S. KRUK and H. Wolkowicz",
TITLE = {{S}{Q}$^2${P}, sequential quadratic
constrained quadratic programming},
BOOKTITLE = {Advances in {N}onlinear {P}rogramming (Beijing, 1996)},
PAGES = {177--204},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1998},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {99f:90128},
}
############ YEAR 1996
############ YEAR 1995
@article{JoKrWo:95,
author = "C.R. JOHNSON and B. KROSCHEL and H. Wolkowicz",
TITLE = {An interior-point method for approximate positive
semidefinite
completions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {9},
YEAR = {1998},
NUMBER = {2},
PAGES = {175--190},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C25 (90C20)},
MRNUMBER = {99a:90154},
MRREVR = {Michael L. Dowling},
}
@incollection{HePoReWo:95,
author="C. HELMBERG and S. POLJAK
and F. RENDL and H. Wolkowicz",
TITLE = {Combining semidefinite and polyhedral relaxations for
integer
programs},
BOOKTITLE = {Integer {P}rogramming and {C}ombinatorial {O}ptimization
(Copenhagen,
1995)},
PAGES = {124--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {1 367 976},
}
############ YEAR 1994
@article{ReWo:94,
author = "F. RENDL and H. Wolkowicz",
TITLE = {A semidefinite framework for trust region subproblems with
applications to large scale minimization},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2, Ser. B},
PAGES = {273--299},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C20 (90C33)},
MRNUMBER = {98i:90063},
MRREVR = {M. Teboulle},
}
@article {PoReWo:94,
author = "S. POLJAK and F. RENDL and H. Wolkowicz",
TITLE = {A recipe for semidefinite relaxation for
$(0,1)$-quadratic
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science, Management
and
Engineering},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {51--73},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C09 (90C27)},
MRNUMBER = {96d:90053},
MRREVR = {Paulo Barcia},
}
@incollection{prw:93,
author="P. PARDALOS and F. RENDL and H. Wolkowicz",
TITLE = {The quadratic assignment problem: a survey and recent
developments},
editor = "P. Pardalos and H. Wolkowicz",
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ,
1993)},
PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90B80 (90C10 90C27)},
MRNUMBER = {95f:90040},
MRREVR = {Horst W. Hamacher},
}
############ YEAR 1993
@ARTICLE {FaReWo:92,
author = "J. FALKNER and F. RENDL and H. Wolkowicz",
TITLE = {A computational study of graph partitioning},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {211--239},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
MRNUMBER = {95h:90153},
MRREVR = {Yixun Lin},
}
@article{sw5,
author="R. STERN and H. Wolkowicz",
TITLE = {Trust region problems and nonsymmetric eigenvalue
perturbations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {15},
YEAR = {1994},
NUMBER = {3},
PAGES = {755--778},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A18 (15A42 49R05)},
MRNUMBER = {95f:15009},
MRREVR = {Gerd M. Krause},
}
@article{StWo:93,
author="R. STERN and H. Wolkowicz",
TITLE = {Indefinite trust region subproblems and nonsymmetric
eigenvalue
perturbations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {2},
PAGES = {286--313},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C20 (65F15 65K05)},
MRNUMBER = {96h:90077},
MRREVR = {Panos M. Pardalos},
}
@incollection{KaReWo:93,
author="S.E. KARISCH and F. RENDL and H. Wolkowicz",
editors="P. PARDALOS and H. Wolkowicz",
TITLE = {Trust regions and relaxations for the quadratic
assignment problem},
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ, 1993)},
PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {95j:90053},
MRREVR = {Igor Litvinchev},
}
@article{ReWo:90,
author = "F. RENDL and H. Wolkowicz",
TITLE = {A projection technique for partitioning the nodes of a
graph},
NOTE = {Applied mathematical programming and modeling, II (APMOD
93)
(Budapest, 1993)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {58},
YEAR = {1995},
PAGES = {155--179},
ISSN = {0254-5330},
MRCLASS = {90C35 (05C99)},
MRNUMBER = {96g:90096},
MRREVR = {Xue Liang Li},
}
@article {PoWo:93,
author = "S. POLJAK and H. Wolkowicz",
TITLE = {Convex relaxations of $(0,1)$-quadratic
programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {20},
YEAR = {1995},
NUMBER = {3},
PAGES = {550--561},
ISSN = {0364-765X},
MRCLASS = {90C09 (90C20)},
MRNUMBER = {97b:90078},
}
@article{w13,
author="H. Wolkowicz",
TITLE = {Measures for symmetric rank-one updates},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {19},
YEAR = {1994},
NUMBER = {4},
PAGES = {815--830},
ISSN = {0364-765X},
MRCLASS = {90C30 (65F05 65K05)},
MRNUMBER = {95h:90143},
}
@article{WoZh:93,
author="H. Wolkowicz and Q. ZHAO",
TITLE = {An all-inclusive efficient region of updates for least
change
secant methods},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {1},
PAGES = {172--191},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {95k:90096},
MRREVR = {Bernd Luderer},
}
@article{Wolk:93,
author="H. Wolkowicz",
TITLE = {Explicit solutions for interval semidefinite linear
programs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {236},
YEAR = {1996},
PAGES = {95--104},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C26 (65G10 90C08)},
MRNUMBER = {96m:90058},
MRREVR = {Florian Jarre},
}
@article {ReVaWo:93b,
author = "F. RENDL and R. J. VANDERBEI and H. Wolkowicz",
title = "Max-min eigenvalue problems, primal-dual
interior point algorithms, and trust region subproblems",
institution = "Department of Combinatorics and Optimization",
year = "1995",
pages = "1-16",
volume = "5",
journal = oms,
address = "Waterloo, Ont"}
@article{DeWo:90,
author="J.E. {DENNIS Jr.} and H. Wolkowicz",
TITLE = {Sizing and least-change secant methods},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {30},
YEAR = {1993},
NUMBER = {5},
PAGES = {1291--1314},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {90C30 (49M37 65K05)},
MRNUMBER = {94g:90107},
}
############ YEAR 1992
@article{HaReWo:89,
author="HADLEY, S.W. and RENDL, F. and Wolkowicz, H.",
TITLE = {A new lower bound via projection for the quadratic
assignment
problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {17},
YEAR = {1992},
NUMBER = {3},
PAGES = {727--739},
ISSN = {0364-765X},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {93i:90080},
MRREVR = {M. C. Puri},
}
@article{hrw2,
author="S.W. HADLEY and F. RENDL and H. Wolkowicz",
TITLE = {Symmetrization of nonsymmetric quadratic assignment
problems
and the {H}offman-{W}ielandt inequality},
NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {167},
YEAR = {1992},
PAGES = {53--64},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (15A42 90B80)},
MRNUMBER = {93d:90050},
MRREVR = {Rainer Burkard},
}
@article{jw2,
author="JEYAKUMAR, V. and Wolkowicz, H.",
TITLE = {Generalizations of {S}later's constraint qualification for
infinite convex programs},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {1, Ser. B},
PAGES = {85--101},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48 (49N15 90C25)},
MRNUMBER = {93e:90070},
MRREVR = {Doug Ward},
}
@inproceedings{biw,
author="BEN-ISRAEL, A. and Wolkowicz, H.",
title="A recursive volume reducing algorithm for semi-infinite
linear programming",
year="1992",
booktitle="Systems and Management Science by Extremal Methods",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
note="invited paper"
}
############ YEAR 1991
############ YEAR 1990
@inproceedings{hrw4,
author="HADLEY, S.W. and RENDL, F. and Wolkowicz, H.",
title="Bounds for the quadratic assignment problems using continuous
optimization",
year="1990",
booktitle="Integer Programming and Combinatorial Optimization",
publisher="University of Waterloo Press",
pages="237-248",
address="Waterloo, Ontario, Canada",
editors="W.R. Pulleyblank and Ravi Kannan"
}
@article{jw1,
author="JEYAKUMAR, V. and Wolkowicz, H.",
TITLE = {Zero duality gaps in infinite-dimensional programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {67},
YEAR = {1990},
NUMBER = {1},
PAGES = {87--108},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49N15 (90C48)},
MRNUMBER = {92a:49062},
MRREVR = {R. N. Kaul},
}
@article{stw4,
author="STERN, R.J. and Wolkowicz, H.",
title="Results on invariant cones",
journal=laa,
note="Proceedings from the Haifa Matrix Theory Conference, June 1990",
year="1991",
volume="166",
pages="1-26"
}
############ YEAR 1989
@article{bw,
author="R. BEATSON and H. Wolkowicz",
TITLE = {Post-processing piecewise cubics for monotonicity},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {26},
YEAR = {1989},
NUMBER = {2},
PAGES = {480--502},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {65D07 (41A05 41A25)},
MRNUMBER = {90i:65019},
MRREVR = {Zhen Xiang Xiong},
}
@article{ReWo:89,
author="RENDL, F. and Wolkowicz, H.",
TITLE = {Applications of parametric programming and eigenvalue
maximization to the quadratic assignment problem},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {53},
YEAR = {1992},
NUMBER = {1, Ser. A},
PAGES = {63--78},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (90C20 90C30)},
MRNUMBER = {93c:90098},
MRREVR = {M. C. Puri},
}
############ YEAR 1988
@article{swz,
author="SUTHERLAND, W.R.S. and Wolkowicz, H. and ZEIDAN, VERA",
TITLE = {An explicit linear solution for the quadratic dynamic
programming problem},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {58},
YEAR = {1988},
NUMBER = {2},
PAGES = {319--330},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49C20 (49D40 90C39 93C55)},
MRNUMBER = {89e:49023},
}
############ YEAR 1987
@incollection{ws5,
author="Wolkowicz, H. and STYAN, G.P.H.",
title= "{S}amuelson's Inequality",
booktitle="Encyclopedia of Statistical Sciences",
year="1987",
editor=" S. Kotz and N. Johnson",
publisher="Wiley-Interscience",
Volume="8",
note="invited paper"
}
@article{gjmw4,
author="GRONE, B. and JOHNSON, C.R. and MARQUES de SA, E. and Wolkowicz,
H.",
TITLE = {Normal matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {87},
YEAR = {1987},
PAGES = {213--225},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57},
MRNUMBER = {88a:15045},
MRREVR = {L. Rodman},
}
############ YEAR 1986
@article{smw2,
author="SMITH, P.W. and Wolkowicz, H.",
TITLE = {A nonlinear equation for linear programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {34},
YEAR = {1986},
NUMBER = {2},
PAGES = {235--238},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C05},
MRNUMBER = {87j:90082},
}
@article{BoWo:86,
author="BORWEIN, J.M. and Wolkowicz, H.",
TITLE = {A simple constraint qualification in infinite-dimensional
programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {35},
YEAR = {1986},
NUMBER = {1},
PAGES = {83--96},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48},
MRNUMBER = {87i:90321},
MRREVR = {W. W. Breckner},
}
@article{gjmw3,
author="GRONE, B. and JOHNSON, C.R. and MARQUES de SA, E. and
Wolkowicz, H.",
TITLE = {A note on maximizing the permanent of a positive definite
{H}ermitian matrix, given the eigenvalues},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {19},
YEAR = {1986},
NUMBER = {4},
PAGES = {389--393},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A15},
MRNUMBER = {88b:15006},
MRREVR = {H. Minc},
}
############ YEAR 1985
@article{mw,
author="J. MERIKOSKI and H. Wolkowicz",
TITLE = {Improving eigenvalue bounds using extra bounds},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {68},
YEAR = {1985},
PAGES = {93--113},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {87e:15038},
}
@article{lw,
author="M. LAMOREAUX and H. Wolkowicz",
TITLE = {Numerical decomposition of a convex function},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {47},
YEAR = {1985},
NUMBER = {1},
PAGES = {51--64},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25 (26A51)},
MRNUMBER = {87a:90107},
MRREVR = {Jacques A. Ferland},
}
@article{jkw,
author="JOHNSON, C.R. and KUMAR, R. and Wolkowicz, H.",
TITLE = {Lower bounds for the spread of a matrix},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {71},
YEAR = {1985},
PAGES = {161--173},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42},
MRNUMBER = {87a:15027},
MRREVR = {Thomas L. Markham},
}
@article{bjw,
author="BUTLER, G. and JOHNSON, C.R. and Wolkowicz, H.",
TITLE = {Nonnegative solutions of a quadratic matrix equation
arising
from comparison theorems in ordinary differential
equations},
JOURNAL = {SIAM J. Algebraic Discrete Methods},
FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Algebraic and Discrete Methods},
VOLUME = {6},
YEAR = {1985},
NUMBER = {1},
PAGES = {47--53},
ISSN = {0196-5212},
CODEN = {STAMDU},
MRCLASS = {34C11 (15A48)},
MRNUMBER = {86f:34072},
MRREVR = {G. J. Etgen},
}
############ YEAR 1984
@article{smw1,
author="SMITH, P.W. and Wolkowicz, H.",
TITLE = {Dimensionality of bi-infinite systems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {57},
YEAR = {1984},
PAGES = {115--130},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A21 15A54 41A05)},
MRNUMBER = {86c:15010},
}
@article{gjmw2,
author="GRONE, B. and JOHNSON, C.R. and MARQUES de SA, E. and Wolkowicz,
H.",
TITLE = {Improving {H}adamard's inequality},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {16},
YEAR = {1984},
NUMBER = {1-4},
PAGES = {305--322},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A42 (15A15 15A45)},
MRNUMBER = {87b:15024},
}
############ YEAR 1983
@article{msw,
author="MERIKOSKI, J. and STYAN, G.P.H. and Wolkowicz, H.",
TITLE = {Bounds for ratios of eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {55},
YEAR = {1983},
PAGES = {105--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {85a:15019},
MRREVR = {Ludwig Elsner},
}
@incollection{w5,
author ="H. Wolkowicz",
TITLE = {Optimality conditions and shadow prices},
BOOKTITLE = {Mathematical programming with data perturbations, II
(Washington, D.C., 1980)},
PAGES = {49--63},
PUBLISHER = {Dekker},
ADDRESS = {New York},
YEAR = {1983},
MRCLASS = {90C25},
MRNUMBER = {85b:90056},
MRREVR = {J. E. Spingarn},
}
@article{w4,
author="H. Wolkowicz",
TITLE = {Method of reduction in convex programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {40},
YEAR = {1983},
NUMBER = {3},
PAGES = {349--378},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {85d:90077},
MRREVR = {S. Zlobec},
}
@article{w3,
author="H. Wolkowicz",
TITLE = {An optimality condition for a nondifferentiable convex
program},
JOURNAL = {Naval Res. Logist. Quart.},
FJOURNAL = {Naval Research Logistics Quarterly},
VOLUME = {30},
YEAR = {1983},
NUMBER = {3},
PAGES = {415--418},
ISSN = {0028-1441},
CODEN = {NRLQAR},
MRCLASS = {90C25},
MRNUMBER = {85a:90181},
}
############ YEAR 1982
@article{bw4,
author="BORWEIN, J.M. and Wolkowicz, H.",
TITLE = {Characterizations of optimality without constraint
qualification for the abstract convex program},
NOTE = {Optimality and stability in mathematical programming},
JOURNAL = {Math. Programming Stud.},
FJOURNAL = {Mathematical Programming Study},
volume = {19},
YEAR = {1982},
PAGES = {77--100},
ISSN = {0303-3929},
CODEN = {MPSTDF},
MRCLASS = {90C25},
MRNUMBER = {83k:90083},
}
############ YEAR 1981
@article{w12,
author="H. Wolkowicz",
TITLE = {A strengthened test for optimality},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {35},
YEAR = {1981},
NUMBER = {4},
PAGES = {497--515},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {84d:90088},
MRREVR = {Szymon Dolecki},
}
@article{bw1,
author="BORWEIN, J.M. and Wolkowicz, H.",
TITLE = {Facial reduction for a cone-convex programming problem},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {3},
PAGES = {369--380},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C25},
MRNUMBER = {83b:90121},
MRREVR = {B. T. Polyak},
}
@article{w11,
author="H. Wolkowicz",
TITLE = {Some applications of optimization in matrix theory},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {40},
YEAR = {1981},
PAGES = {101--118},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C25 (15A48 65K05 90C05)},
MRNUMBER = {84a:90067},
}
@inproceedings{bw6,
author="J.M. BORWEIN and H. Wolkowicz",
title="Cone-convex programming stability and affine constraint functions",
year="1981",
booktitle="Generalized Concavity in Optimization and Economics",
publisher="Academic Press",
pages="379-397",
note="invited paper",
organization="NATO conference"
}
############ YEAR 1980
@article{w8,
author="H. Wolkowicz",
TITLE = {Geometry of optimality conditions and constraint
qualifications: the convex case},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {19},
YEAR = {1980},
NUMBER = {1},
PAGES = {32--60},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C25},
MRNUMBER = {83b:90130},
}
@article{ws3,
author="Wolkowicz, H. and STYAN, G.P.H",
title="A history of {S}amuelson's inequality",
journal=amers,
year="1980",
volume="34",
pages="250"
}
@article{w10,
author="H. Wolkowicz",
TITLE = {Shadow prices for an unstable convex program},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied
Mathematics, Computer Science, and Statistics},
VOLUME = {18},
YEAR = {1980},
PAGES = {119--139},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {90C25},
MRNUMBER = {82d:90100},
MRREVR = {Roger Hartley},
}
@article{ws1,
author="Wolkowicz, H. and STYAN, G.P.H",
TITLE = {More bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {31},
YEAR = {1980},
PAGES = {1--17},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18 (65F15)},
MRNUMBER = {81k:15016},
MRREVR = {J. Segethov{\'a}},
}
@article{ws2,
author="Wolkowicz, H. and STYAN, G.P.H.",
TITLE = {Bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {29},
YEAR = {1980},
PAGES = {471--506},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18},
MRNUMBER = {81k:15015},
MRREVR = {M. Shafqat Ali},
}
@article{w2,
author="H. Wolkowicz",
TITLE = {Convex programs with equivalent duals},
JOURNAL = {Appl. Math. Notes},
FJOURNAL = {Applied Mathematics Notes},
VOLUME = {5},
YEAR = {1980},
NUMBER = {2},
PAGES = {45--62},
ISSN = {0700-9224},
MRCLASS = {90C25},
MRNUMBER = {81h:90121},
}
############ YEAR 1979
@article{ws4,
author="Wolkowicz, H. and STYAN, G.P.H.",
TITLE = {Extensions of {S}amuelson's inequality},
JOURNAL = {Amer. Statist.},
FJOURNAL = {The American Statistician},
VOLUME = {33},
YEAR = {1979},
NUMBER = {3},
PAGES = {143--144},
ISSN = {0003-1305},
CODEN = {ASTAAJ},
MRCLASS = {62G30 (60E15)},
MRNUMBER = {80h:62038},
}
@article{w1,
author="H. Wolkowicz",
TITLE = {Calculating the cone of directions of constancy},
JOURNAL = {J. Optim. Theory Appl.},
VOLUME = {25},
YEAR = {1978},
NUMBER = {3},
PAGES = {451--457},
MRCLASS = {90C25},
MRNUMBER = {58 #25996},
}
@article{wz,
author="Wolkowicz, H. and ZLOBEC, S.",
TITLE = {Calculating the best approximate solution of an operator
equation},
JOURNAL = {Math. Comp.},
VOLUME = {32},
YEAR = {1978},
NUMBER = {144},
PAGES = {1183--1213},
MRCLASS = {65J05 (47A50)},
MRNUMBER = {58 #13701},
MRREVR = {P. M. Anselone},
}
@article{stw3,
author="STERN, R.J. and H. Wolkowicz",
TITLE = {A note on generalized invariant cones and the {K}ronecker
canonical form},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {147},
YEAR = {1991},
PAGES = {97--100},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A18 15A48)},
MRNUMBER = {92e:15018},
}
@article{stw2,
author="STERN, R.J. and Wolkowicz, H.",
TITLE = {Exponential nonnegativity on the ice cream cone},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {12},
YEAR = {1991},
NUMBER = {1},
PAGES = {160--165},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A48},
MRNUMBER = {92j:15013},
MRREVR = {Raphael Loewy},
}
@article{stw1,
author="STERN, R.J. and Wolkowicz, H.",
TITLE = {Invariant ellipsoidal cones},
BOOKTITLE = {Proceedings of the First Conference of the International
Linear
Algebra Society (Provo, UT, 1989)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {150},
YEAR = {1991},
PAGES = {81--106},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {92h:15014},
MRREVR = {Raphael Loewy},
}
############
#### Problems and Solutions
######
%Refereed Problems and Solutions
@article{Wolk:siam94,
author="Wolkowicz, H.",
title="Problem Solution 93-17",
journal="SIAM Review",
volume="36",
number="4",
year="1994",
pages="657-659"
}
@article{jww,
author="JOHNSON, C.R. and Wolkowicz, G. and WOLKOWICZ, H.",
title= "Elem. Prob. E. 3234",
journal=amerm,
year="1987",
volume="94",
pages="877"
}
@article{bsw,
author="BORWEIN, J.M. and STYAN, G.P.H. and Wolkowicz, H.",
title="Some inequalities involving statistical expressions",
journal="SIAM Review",
year="1982",
volume="24",
pages="340-342"
}
@article{w14,
author="H. Wolkowicz",
title="A constrained matrix optimization problem",
journal="SIAM Review 23",
year="1981",
volume="101"
}
############
#### Unpublished Research Reports
######
@techreport{hw,
author="HADLEY, S.W. and Wolkowicz, H.",
title="The {H}essian of a function of the eigenvalues",
institution="University of Waterloo",
year="1988",
type="Unpublished Research Report"
}
@techreport{wb2,
author="Wolkowicz, H. and BEN-ISRAEL, A.",
title="Taking advantage of degeneracy in linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-23"
}
@techreport{wb1,
author="Wolkowicz, H. and BEN-ISRAEL, A.",
title="A volume and constraint reducing algorithm for linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-29"
}
@techreport{h9,
author="H. Wolkowicz",
title="Generating eigenvalue bounds using optimization",
institution="University of Waterloo",
year="1985",
type="Unpublished Research Report"
}
@techreport{scw,
author="SCHOETTLE, C. and Wolkowicz, H.",
title="The teaching assignment problem",
institution="Emory University",
year="1985",
type="Unpublished Research Report"
}
@techreport{gjmw5,
author="GRONE, B. and JOHNSON, C.R. and MARQUES de SA, E. and Wolkowicz,
H.",
title="Constrained ranges of sesquilinear forms",
institution="University of Waterloo",
year="1983",
type="Unpublished Research Report"
}
@techreport{w7,
author="H. Wolkowicz",
title="Bounds for the {K}antorovich ratio",
institution="The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{maw,
author="H. MASSAM and H. Wolkowicz",
title= "Regularization and convex approximation",
institution=" The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{w6,
author="H. Wolkowicz",
title="Optimality and the cone of affine directions",
institution=" The University of Alberta",
year="1980",
type="Unpublished Research Report"
}
%Other:
############
#### THESES
######
@phdthesis{w15,
author="H. Wolkowicz",
title="Constructive approaches to approximate solutions of
operator equations and convex programming",
school="McGill University",
year="1978"
}
@mastersthesis{w9,
author="H. Wolkowicz",
title= "Kantorovich's general theory of approximation methods",
school="McGill University",
year="1975",
note="M.Sc. Thesis"
}
%Graduate Students Theses:
@phdthesis{wei:2005,
author="H. WEI",
title="Robust Solutions for Large Sparse Linear and Semidefinite
Programming",
school="University of Waterloo",
year="forthcoming"
}
@phdthesis{Kruk:01,
author="S. KRUK",
title="High Accuracy Algorithms for the Solutions of Semidefinite
Linear Programs",
school="University of Waterloo",
year="2001"
}
@mastersthesis{Oleg:04,
author="O. GRODZEVICH",
title="Regularization Using a Parameterized Trust Region Subproblem",
school="University of Waterloo",
year="2004"
}
@mastersthesis{Fortin:00,
author="C. FORTIN",
title="A Survey of the Trust Region Subproblem within a Semidefinite
Framework",
school="University of Waterloo",
year="2000"
}
@mastersthesis{Froh:03,
author="M. FROH",
title="Trust Region Subproblems and Linear Least-Squares
Regularization",
school="University of Waterloo",
year="2003"
}
@mastersthesis{Schaeke:04,
author="K. SCHAEKE",
title="The {K}ronecker product",
school="University of Waterloo",
year="2004"
}
@mastersthesis{Kruk:96,
author="S. KRUK",
title="Semidefinite Programming Applied to Nonlinear Programming",
school="University of Waterloo",
year="1996"
}
@phdthesis{zhao:96,
author="Q. ZHAO",
title="Semidefinite Programming for Assignment and Partitioning Problems",
school="University of Waterloo",
year="1996"
}
@phdthesis{Anjosthesis,
author="M.F. ANJOS",
title="New Convex Relaxations for the Maximum Cut and VLSI Layout
Problems",
school="University of Waterloo",
year="2001"
}
@mastersthesis{qz,
author="Q. ZHAO",
title="Measures for Least Change Secant Methods",
school="University of Waterloo",
year="1993",
}
@mastersthesis{schaecke:04,
author="K. SCHAECKE",
title="Essay on: The {K}ronecker Product",
school="University of Waterloo",
year="2004",
}
@mastersthesis{sk,
author="S.E. KARISCH",
title="Trust Regions and the Quadratic Assignment Problem",
school="University of Waterloo",
year="1992"
}
@phdthesis{h,
author="S.W. HADLEY",
title="Continuous Optimization Approaches to the Quadratic Assignment Problem",
school="University of Waterloo",
year="1989"
}
@mastersthesis{l,
author="JOE LUND",
title="Optimal Vehicle Replacement Policy",
school="University of Waterloo",
year="1988"
}
@mastersthesis{s2,
author="P. STEPHAN",
title="An Explicit Solution to the Quadratic Dynamic Programming Problem",
school="Emory University",
year="1985"
}
@mastersthesis{s,
author="C. SCHOETTLE",
title="The Teaching Assignment Problem",
school="Emory University",
year="1985"
}
@mastersthesis{k,
author="R. KUMAR",
title="Bounds for Eigenvalues",
school="University of Alberta",
year="1984"
}
.inveig.bib 0000600 0010230 0000457 00000000000 12346654603 012442 0 ustar hwolkowi none .jeya.bib 0000600 0010230 0010230 00000073212 12346654603 013357 0 ustar hwolkowi hwolkowicz #################################start Jeyakumar papers
@techreport{jeyali09,
AUTHOR = {Jeyakumar, V. and Li, G.},
TITLE = "SDP Characterizations for
Solutions of Linearly Constrained
Trust--Region Problems and Robust Convex Programs via Generalized
S-Lemma",
TYPE = "Technical Report",
NUMBER = "",
INSTITUTION = "University of New South Wales",
YEAR = "2009",
}
@article {MR2472207,
AUTHOR = {Jeyakumar, V. and Srisatkunarajah, S.},
TITLE = {New sufficiency for global optimality and duality of
mathematical programming problems via underestimators},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {140},
YEAR = {2009},
NUMBER = {2},
PAGES = {239--247},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C30 (90C46)},
MRNUMBER = {MR2472207},
}
@article {jeyaleelisiopt:09,
AUTHOR = {Jeyakumar, V. and Lee, G.M. and Li, G.},
TITLE = {Alternative theorems for quadratic inequality systems and
global quadratic optimization},
JOURNAL = siopt,
VOLUME = {},
YEAR = {2009},
NUMBER = {},
PAGES = {},
note = {DOI:...}
}
@article {jeyahuyliopte:09,
AUTHOR = {Jeyakumar, V. and Huy, N.Q. and Li, G.},
TITLE = {Necessary and sufficient conditions for S-lemma and
nonconvex optimization},
JOURNAL = {Optimization and Engineering},
VOLUME = {},
YEAR = {2009},
NUMBER = {},
PAGES = {},
note = {DOI:...}
}
@article {MR2468453,
AUTHOR = {Jeyakumar, V. and Srisatkunarajah, S.},
TITLE = {Geometric conditions for {K}uhn-{T}ucker sufficiency of global
optimality in mathematical programming},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {194},
YEAR = {2009},
NUMBER = {2},
PAGES = {363--367},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C30},
MRNUMBER = {MR2468453},
}
@article {MR2453502,
AUTHOR = {Jeyakumar, V. and Srisatkunarajah, S.},
TITLE = {Lagrange multiplier necessary conditions for global optimality
for non-convex minimization over a quadratic constraint via
{S}-lemma},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {3},
YEAR = {2009},
NUMBER = {1},
PAGES = {23--33},
ISSN = {1862-4472},
MRCLASS = {90C26 (90C32)},
MRNUMBER = {MR2453502},
}
@article {MR2444492,
AUTHOR = {Jeyakumar, Vaithilingam and Srisatkunarajah, Sivakolundu and
Huy, Nguyen Quang},
TITLE = {Unified global optimality conditions for smooth minimization
problems with mixed variables},
JOURNAL = {RAIRO Oper. Res.},
FJOURNAL = {RAIRO Operations Research. RO Recherche Op\'erationnelle},
VOLUME = {42},
YEAR = {2008},
NUMBER = {3},
PAGES = {361--370},
ISSN = {0399-0559},
MRCLASS = {90C26 (90C11)},
MRNUMBER = {MR2444492},
}
@article {MR2393046,
AUTHOR = {Jeyakumar, V. and Lee, G. M.},
TITLE = {Complete characterizations of stable {F}arkas' lemma and
cone-convex programming duality},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {114},
YEAR = {2008},
NUMBER = {2, Ser. A},
PAGES = {335--347},
ISSN = {0025-5610},
MRCLASS = {90C25 (90C22 90C46 90C48)},
MRNUMBER = {MR2393046 (2008m:90054)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR2389003,
AUTHOR = {Jeyakumar, V. and Kum, S. and Lee, G. M.},
TITLE = {Necessary and sufficient conditions for {F}arkas' lemma for
cone systems and second-order cone programming duality},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {15},
YEAR = {2008},
NUMBER = {1},
PAGES = {63--71},
ISSN = {0944-6532},
abstract={Let $X,Y$ be normed linear spaces with topological duals $X^*,Y^*$, respectively, and let $S$ be a closed convex cone in $X$. Denote by $S^+$ the dual cone of $S$, defined as $S^+={x^*\in X^*\mid x^*(x)\geq0$ for any $x\in S}$. Let ${\scr A}={l\mid l\colon X \rightarrow{\Bbb R} \text{ is continuous and convex}}$. The generalized Farkas lemma for a given cone-convex system $-g(x)\in S$ ($g\colon X \rightarrow Y$ a continuous and $S$-convex function with $g^{-1}(S)\neq \emptyset$) and each $f\in{\scr A}$ states that $$ \multline[-g(x)\in S\Rightarrow f(x)\geq 0]\Leftrightarrow\\ (\exists\lambda \in S^+)(\forall x\in X)f(x)+(\lambda\circ g)(x)\geq0.\endmultline $$ The paper shows several characterizations of this Farkas lemma for cone-convex systems. The known closed convex condition is shown to be a necessary and sufficient condition for the Farkas lemma. In particular, two examples are presented to illustrate the significance of the closed cone condition in the characterization mentioned above.
As an application of their Farkas lemma, the authors present a constraint qualification which characterizes the strong duality of a second-order cone programming problem. Then they derive a necessary and sufficient condition for the strong min-max duality whenever the given problem attains its infimum.
Also, a characterization of the Farkas lemma for the cone-sublinear
systems, as well as solvability conditions for systems involving convex
vector functions $f$, is given.},
MRCLASS = {90C46 (90C25)},
MRNUMBER = {MR2389003 (2009a:90119)},
MRREVIEWER = {Francisco Guerra-V{\'a}zquez},
}
@article {MR2373071,
AUTHOR = {Jeyakumar, V.},
TITLE = {Constraint qualifications characterizing {L}agrangian duality
in convex optimization},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {136},
YEAR = {2008},
NUMBER = {1},
PAGES = {31--41},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25 (90C46)},
MRNUMBER = {MR2373071 (2008j:90088)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR2381664,
AUTHOR = {Goberna, M. A. and Jeyakumar, V. and L{\'o}pez, M. A.},
TITLE = {Necessary and sufficient constraint qualifications for
solvability of systems of infinite convex inequalities},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {68},
YEAR = {2008},
NUMBER = {5},
PAGES = {1184--1194},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {90C25 (49M29)},
MRNUMBER = {MR2381664 (2008j:90087)},
MRREVIEWER = {Mohamed Laghdir},
}
@article {MR2372662,
AUTHOR = {Jeyakumar, V. and Huy, N. Q.},
TITLE = {Global minimization of difference of quadratic and convex
functions over box or binary constraints},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {2},
YEAR = {2008},
NUMBER = {2},
PAGES = {223--238},
ISSN = {1862-4472},
MRCLASS = {90C26 (90C46)},
MRNUMBER = {MR2372662 (2008m:90062)},
MRREVIEWER = {Xiaoqi Yang},
}
@article {MR2363841,
AUTHOR = {Jeyakumar, V.},
TITLE = {A note on strong duality in convex semidefinite optimization:
necessary and sufficient conditions},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {2},
YEAR = {2008},
NUMBER = {1},
PAGES = {15--25},
ISSN = {1862-4472},
MRCLASS = {90C22 (90C46)},
MRNUMBER = {MR2363841 (2008j:90085)},
MRREVIEWER = {Roland Hildebrand},
}
@book {MR2354918,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {Nonsmooth vector functions and continuous optimization},
SERIES = {Springer Optimization and Its Applications},
VOLUME = {10},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2008},
PAGES = {x+269},
ISBN = {978-0-387-73716-4},
MRCLASS = {90-02 (49-02 49J50 49J52 49J53 90C30 90C33)},
MRNUMBER = {MR2354918},
}
@article {MR2362711,
AUTHOR = {Jeyakumar, V. and Huy, N. Q.},
TITLE = {Global optimality of quadratic minimization over symmetric
polytopes},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {56},
YEAR = {2007},
NUMBER = {5-6},
PAGES = {633--640},
ISSN = {0233-1934},
MRCLASS = {90C20 (41A29 41A65 90C46)},
MRNUMBER = {MR2362711 (2009b:90084)},
MRREVIEWER = {Paul H. Calamai},
}
@article {MR2345500,
AUTHOR = {Jeyakumar, V. and Srisatkunrajah, S. and Huy, N. Q.},
TITLE = {Kuhn-{T}ucker sufficiency for global minimum of multi-extremal
mathematical programming problems},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {335},
YEAR = {2007},
NUMBER = {2},
PAGES = {779--788},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C46 (90C20 90C30)},
MRNUMBER = {MR2345500 (2008g:90135)},
MRREVIEWER = {Wei Hong Yang},
}
@article {MR2328861,
AUTHOR = {Jeyakumar, V. and Wu, Z. Y.},
TITLE = {A dual criterion for maximal monotonicity of composition
operators},
JOURNAL = {Set-Valued Anal.},
FJOURNAL = {Set-Valued Analysis. An International Journal Devoted to the
Theory of Multifunctions and its Applications},
VOLUME = {15},
YEAR = {2007},
NUMBER = {3},
PAGES = {265--273},
ISSN = {0927-6947},
CODEN = {SVANEG},
MRCLASS = {47H05 (46B99 46N10 47H04)},
MRNUMBER = {MR2328861 (2008f:47078)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR2336771,
AUTHOR = {Wu, Z. Y. and Jeyakumar, V. and Rubinov, A. M.},
TITLE = {Sufficient conditions for global optimality of bivalent
nonconvex quadratic programs with inequality constraints},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {133},
YEAR = {2007},
NUMBER = {1},
PAGES = {123--130},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C20 (90C46)},
MRNUMBER = {MR2336771 (2008m:90048)},
MRREVIEWER = {Riccardo Cambini},
}
@article {MR2333520,
AUTHOR = {Jeyakumar, V. and Rubinov, A. M. and Wu, Z. Y.},
TITLE = {Generalized {F}enchel's conjugation formulas and duality for
abstract convex functions},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {132},
YEAR = {2007},
NUMBER = {3},
PAGES = {441--458},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49J53 (47N10 52A41 90C25)},
MRNUMBER = {MR2333520 (2008f:49030)},
MRREVIEWER = {S{\'a}ndor Z. N{\'e}meth},
}
@article {MR2324960,
AUTHOR = {Jeyakumar, V. and Rubinov, A. M. and Wu, Z. Y.},
TITLE = {Non-convex quadratic minimization problems with quadratic
constraints: global optimality conditions},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {110},
YEAR = {2007},
NUMBER = {3, Ser. A},
PAGES = {521--541},
ISSN = {0025-5610},
MRCLASS = {90C20 (90C26)},
MRNUMBER = {MR2324960 (2008c:90039)},
MRREVIEWER = {Stefan Mititelu},
}
@article {MR2320102,
AUTHOR = {Jeyakumar, Vaithilingam and Wu, Zhiyou},
TITLE = {Conditions for global optimality of quadratic minimization
problems with {LMI} constraints},
JOURNAL = {Asia-Pac. J. Oper. Res.},
FJOURNAL = {Asia-Pacific Journal of Operational Research},
VOLUME = {24},
YEAR = {2007},
NUMBER = {2},
PAGES = {149--160},
ISSN = {0217-5959},
MRCLASS = {90C20 (90C26 90C46)},
MRNUMBER = {MR2320102 (2008c:90038)},
MRREVIEWER = {Rafa{\l}K. Goebel},
}
@article {MR2291565,
AUTHOR = {Jeyakumar, V. and Wu, Z. Y.},
TITLE = {A qualification free sequential {P}shenichnyi-{R}ockafellar
lemma and convex semidefinite programming},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {13},
YEAR = {2006},
NUMBER = {3-4},
PAGES = {773--784},
ISSN = {0944-6532},
MRCLASS = {90C25 (90C22)},
MRNUMBER = {MR2291565 (2007m:90063)},
MRREVIEWER = {Renata Sotirov},
}
@article {MR2265756,
AUTHOR = {Jeyakumar, V. and Th{\'e}ra, M. and Wu, Z. Y.},
TITLE = {Asymptotic sums of monotone operators},
JOURNAL = {Pac. J. Optim.},
FJOURNAL = {Pacific Journal of Optimization. An International Journal},
VOLUME = {2},
YEAR = {2006},
NUMBER = {3},
PAGES = {591--598},
ISSN = {1348-9151},
MRCLASS = {47H05 (47N10 49J53)},
MRNUMBER = {MR2265756 (2007f:47048)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR2263179,
AUTHOR = {Jeyakumar, V. and Rubinov, A. M. and Wu, Z. Y.},
TITLE = {Sufficient global optimality conditions for non-convex
quadratic minimization problems with box constraints},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {36},
YEAR = {2006},
NUMBER = {3},
PAGES = {471--481},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C26 (90C46)},
MRNUMBER = {MR2263179 (2007j:90050)},
MRREVIEWER = {Josef Haberl},
}
@article {MR2256887,
AUTHOR = {Jeyakumar, V. and Wu, Z. Y. and Lee, G. M. and Dinh, N.},
TITLE = {Liberating the subgradient optimality conditions from
constraint qualifications},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {36},
YEAR = {2006},
NUMBER = {1},
PAGES = {127--137},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C46 (90C25)},
MRNUMBER = {MR2256887 (2007f:90142)},
MRREVIEWER = {Costel M. B{\u{a}}lc{\u{a}}u},
}
@article {MR2254316,
AUTHOR = {Jeyakumar, V. and Lee, G. M. and Dinh, N.},
TITLE = {Characterizations of solution sets of convex vector
minimization problems},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {174},
YEAR = {2006},
NUMBER = {3},
PAGES = {1380--1395},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C29 (90C25 90C31 90C46 90C47)},
MRNUMBER = {MR2254316 (2007d:90091)},
MRREVIEWER = {Enrico Miglierina},
}
@article {MR2238652,
AUTHOR = {Jeyakumar, V. and Ormerod, J. and Womersley, R. S.},
TITLE = {Knowledge-based semidefinite linear programming classifiers},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {21},
YEAR = {2006},
NUMBER = {5},
PAGES = {693--706},
ISSN = {1055-6788},
MRCLASS = {90C22 (62H30 68T05)},
MRNUMBER = {MR2238652 (2007c:90065)},
MRREVIEWER = {On{\'e}simo Hern{\'a}ndez Lerma},
}
@article {MR2238413,
AUTHOR = {Dinh, N. and Jeyakumar, V. and Lee, G. M.},
TITLE = {Lagrange multiplier characterizations of solution sets of
constrained pseudolinear optimization problems},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {55},
YEAR = {2006},
NUMBER = {3},
PAGES = {241--250},
ISSN = {0233-1934},
MRCLASS = {90C26 (90C46)},
MRNUMBER = {MR2238413 (2007e:90080)},
MRREVIEWER = {Bienvenido Jim{\'e}nez},
}
@article {MR2234014,
AUTHOR = {Huy, N. Q. and Jeyakumar, V. and Lee, G. M.},
TITLE = {Sufficient global optimality conditions for multi-extremal
smooth minimisation problems with bounds and linear matrix
inequality constraints},
JOURNAL = {ANZIAM J.},
FJOURNAL = {The ANZIAM Journal. The Australian \& New Zealand Industrial
and Applied Mathematics Journal},
VOLUME = {47},
YEAR = {2006},
NUMBER = {4},
PAGES = {439--450},
ISSN = {1446-1811},
MRCLASS = {90C30 (90C22 90C46)},
MRNUMBER = {MR2234014 (2007c:90088)},
MRREVIEWER = {Wei Hong Yang},
}
@article {MR2211195,
AUTHOR = {Burachik, R. S. and Jeyakumar, V. and Wu, Z.-Y.},
TITLE = {Necessary and sufficient conditions for stable conjugate
duality},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {64},
YEAR = {2006},
NUMBER = {9},
PAGES = {1998--2006},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {49N15 (52A41 90C25 90C46)},
MRNUMBER = {MR2211195 (2006k:49097)},
MRREVIEWER = {Juan-Enrique Mart{\'{\i}}nez-Legaz},
}
@article {MR2196849,
AUTHOR = {Goberna, M. A. and Jeyakumar, V. and Dinh, N.},
TITLE = {Dual characterizations of set containments with strict convex
inequalities},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {34},
YEAR = {2006},
NUMBER = {1},
PAGES = {33--54},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C46 (90C25)},
MRNUMBER = {MR2196849 (2006k:90160)},
MRREVIEWER = {Virginia N. Vera de Serio},
}
@article {MR2195618,
AUTHOR = {Jeyakumar, V.},
TITLE = {The strong conical hull intersection property for convex
programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {106},
YEAR = {2006},
NUMBER = {1, Ser. A},
PAGES = {81--92},
ISSN = {0025-5610},
MRCLASS = {90C25 (49J53)},
MRNUMBER = {MR2195618 (2006i:90049)},
MRREVIEWER = {Aris Daniilidis},
}
@article {MR2197287,
AUTHOR = {Burachik, R. S. and Jeyakumar, V.},
TITLE = {A dual condition for the convex subdifferential sum formula
with applications},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {12},
YEAR = {2005},
NUMBER = {2},
PAGES = {279--290},
ISSN = {0944-6532},
MRCLASS = {49J52 (46N10 90C46)},
MRNUMBER = {MR2197287 (2006m:49027)},
MRREVIEWER = {Fabi{\'a}n Flores-Baz{\'a}n},
}
@article {MR2179236,
AUTHOR = {Burachik, Regina Sandra and Jeyakumar, Vaithilingam},
TITLE = {A new geometric condition for {F}enchel's duality in infinite
dimensional spaces},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {104},
YEAR = {2005},
NUMBER = {2-3, Ser. B},
PAGES = {229--233},
ISSN = {0025-5610},
MRCLASS = {90C46 (49J52 49N15 90C48)},
MRNUMBER = {MR2179236 (2006g:90164)},
MRREVIEWER = {Nicolas Hadjisavvas},
}
@article {MR2178933,
AUTHOR = {Dinh, N. and Jeyakumar, V. and Lee, G. M.},
TITLE = {Sequential {L}agrangian conditions for convex programs with
applications to semidefinite programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {125},
YEAR = {2005},
NUMBER = {1},
PAGES = {85--112},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C22 (90C25 90C46)},
MRNUMBER = {MR2178933 (2006k:90093)},
MRREVIEWER = {Christiane Tammer},
}
@article {MR2158527,
AUTHOR = {Jeyakumar, V. and Mohebi, H.},
TITLE = {Limiting {$\epsilon$}-subgradient characterizations of
constrained best approximation},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {135},
YEAR = {2005},
NUMBER = {2},
PAGES = {145--159},
ISSN = {0021-9045},
CODEN = {JAXTAZ},
MRCLASS = {41A29 (49J52 90C30)},
MRNUMBER = {MR2158527 (2006k:41030)},
MRREVIEWER = {Wu Li},
}
@article {MR2150897,
AUTHOR = {Jeyakumar, V. and Mohebi, H.},
TITLE = {A global approach to nonlinearly constrained best
approximation},
JOURNAL = {Numer. Funct. Anal. Optim.},
FJOURNAL = {Numerical Functional Analysis and Optimization. An
International Journal},
VOLUME = {26},
YEAR = {2005},
NUMBER = {2},
PAGES = {205--227},
ISSN = {0163-0563},
CODEN = {NFADOL},
MRCLASS = {90C46 (41A29 41A65 90C48)},
MRNUMBER = {MR2150897 (2006b:90103)},
MRREVIEWER = {Hans Benker},
}
@article {MR2120273,
AUTHOR = {Burachik, Regina Sandra and Jeyakumar, Vaithilingam},
TITLE = {A simple closure condition for the normal cone intersection
formula},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {133},
YEAR = {2005},
NUMBER = {6},
PAGES = {1741--1748 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {49J52 (46N10 90C31)},
MRNUMBER = {MR2120273 (2006a:49021)},
MRREVIEWER = {Didier Aussel},
}
@article {MR2112966,
AUTHOR = {Jeyakumar, V. and Yen, N. D.},
TITLE = {Solution stability of nonsmooth continuous systems with
applications to cone-constrained optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {14},
YEAR = {2004},
NUMBER = {4},
PAGES = {1106--1127 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C31 (49J53 49K40)},
MRNUMBER = {MR2112966 (2005h:90138)},
MRREVIEWER = {Oliver Stein},
}
@article {MR2100264,
AUTHOR = {Jeyakumar, V. and Lee, G. M. and Dinh, N.},
TITLE = {Lagrange multiplier conditions characterizing the optimal
solution sets of cone-constrained convex programs},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {123},
YEAR = {2004},
NUMBER = {1},
PAGES = {83--103},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25 (90C22 90C32 90C46 90C48)},
MRNUMBER = {MR2100264 (2005i:90044)},
MRREVIEWER = {Marco Antonio L{\'o}pez-Cerd{\'a}},
}
@article {MR2048156,
AUTHOR = {Jeyakumar, V. and Lee, G. M. and Dinh, N.},
TITLE = {New sequential {L}agrange multiplier conditions characterizing
optimality without constraint qualification for convex
programs},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {14},
YEAR = {2003},
NUMBER = {2},
PAGES = {534--547 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C46 (90C22 90C25 90C34 90C48)},
MRNUMBER = {MR2048156 (2005a:90178)},
MRREVIEWER = {Doug Ward},
}
@article {MR2005911,
AUTHOR = {Jeyakumar, V.},
TITLE = {Characterizing set containments involving infinite convex
constraints and reverse-convex constraints},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {13},
YEAR = {2003},
NUMBER = {4},
PAGES = {947--959 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C25 (90C30)},
MRNUMBER = {MR2005911 (2004f:90104)},
MRREVIEWER = {Hubertus Th. Jongen},
}
@article {MR1972221,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {Sharp variational conditions for convex composite nonsmooth
functions},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {13},
YEAR = {2002},
NUMBER = {3},
PAGES = {904--920 (electronic) (2003)},
ISSN = {1052-6234},
MRCLASS = {49J52 (90C46)},
MRNUMBER = {MR1972221 (2004d:49038)},
MRREVIEWER = {Dariusz Zagrodny},
}
@article {MR1924770,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {Convex interior mapping theorems for continuous nonsmooth
functions and optimization},
JOURNAL = {J. Nonlinear Convex Anal.},
FJOURNAL = {Journal of Nonlinear and Convex Analysis. An International
Journal},
VOLUME = {3},
YEAR = {2002},
NUMBER = {2},
PAGES = {251--266},
ISSN = {1345-4773},
MRCLASS = {49J52 (90C46)},
MRNUMBER = {MR1924770 (2003e:49029)},
MRREVIEWER = {Giorgio Giorgi},
}
@article {MR1910909,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {An open mapping theorem using unbounded generalized
{J}acobians},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {50},
YEAR = {2002},
NUMBER = {5, Ser. A: Theory Methods},
PAGES = {647--663},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {49J53 (26B10 49J52 58C15)},
MRNUMBER = {MR1910909 (2003d:49027)},
MRREVIEWER = {Asen L. Dontchev},
}
@preamble{
"\def\cprime{$'$} "
}
@article {MR1892302,
AUTHOR = {Jeyakumar, V. and Luc, D. T. and Tinh, P. N.},
TITLE = {Convex composite non-{L}ipschitz programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {92},
YEAR = {2002},
NUMBER = {1, Ser. A},
PAGES = {177--195},
ISSN = {0025-5610},
MRCLASS = {90C46 (49J52)},
MRNUMBER = {MR1892302 (2002m:90100)},
MRREVIEWER = {V. F. Dem{\cprime}yanov},
}
@article {MR1854013,
AUTHOR = {Fischer, A. and Jeyakumar, V. and Luc, D. T.},
TITLE = {Solution point characterizations and convergence analysis of a
descent algorithm for nonsmooth continuous complementarity
problems},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {110},
YEAR = {2001},
NUMBER = {3},
PAGES = {493--513},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C33 (49J52)},
MRNUMBER = {MR1854013 (2002f:90133)},
MRREVIEWER = {Stephen C. Billups},
}
@incollection {MR1777622,
AUTHOR = {Jeyakumar, Vaithilingam and Nealon, Michael J.},
TITLE = {Complete dual characterizations of optimality for convex
semidefinite programming},
BOOKTITLE = {Constructive, experimental, and nonlinear analysis ({L}imoges,
1999)},
SERIES = {CMS Conf. Proc.},
VOLUME = {27},
PAGES = {165--173},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2000},
MRCLASS = {90C22 (90C08 90C49)},
MRNUMBER = {MR1777622 (2001i:90054)},
MRREVIEWER = {Levent Tun{\c{c}}el},
}
@article {MR1777084,
AUTHOR = {Wang, X. and Jeyakumar, V.},
TITLE = {A sharp {L}agrange multiplier rule for nonsmooth mathematical
programming problems involving equality constraints},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {10},
YEAR = {2000},
NUMBER = {4},
PAGES = {1136--1148 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C46 (49J52 49K35)},
MRNUMBER = {MR1777084 (2001i:90115)},
MRREVIEWER = {Doug Ward},
}
@article {MR1692196,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {Nonsmooth calculus, minimality, and monotonicity of
convexificators},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {101},
YEAR = {1999},
NUMBER = {3},
PAGES = {599--621},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49J52 (47N10 90C48)},
MRNUMBER = {MR1692196 (2000e:49023)},
MRREVIEWER = {Peter Recht},
}
@article {MR1687256,
AUTHOR = {Glover, B. M. and Jeyakumar, V. and Rubinov, A. M.},
TITLE = {Dual conditions characterizing optimality for convex
multi-objective programs},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {84},
YEAR = {1999},
NUMBER = {1, Ser. A},
PAGES = {201--217},
ISSN = {0025-5610},
MRCLASS = {90C29 (49J52 90C25)},
MRNUMBER = {MR1687256 (2000b:90070)},
MRREVIEWER = {Christiane Tammer},
}
@article {MR1688236,
AUTHOR = {Jeyakumar, V. and Yang, X. Q.},
TITLE = {Approximate generalized {H}essians and {T}aylor's expansions
for continuously {G}\^ateaux differentiable functions},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {36},
YEAR = {1999},
NUMBER = {3, Ser. A: Theory Methods},
PAGES = {353--368},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {49J53 (49J52 58C20 90C46)},
MRNUMBER = {MR1688236 (2000f:49018)},
MRREVIEWER = {Lionel Thibault},
}
@article {MR1674597,
AUTHOR = {Jeyakumar, V. and Wang, X.},
TITLE = {Approximate {H}essian matrices and second-order optimality
conditions for nonlinear programming problems with {$C\sp
1$}-data},
JOURNAL = {J. Austral. Math. Soc. Ser. B},
FJOURNAL = {Australian Mathematical Society. Journal. Series B. Applied
Mathematics},
VOLUME = {40},
YEAR = {1999},
NUMBER = {3},
PAGES = {403--420},
ISSN = {0334-2700},
CODEN = {JAMMDU},
MRCLASS = {49J52 (90C31)},
MRNUMBER = {MR1674597 (99k:49036)},
MRREVIEWER = {Doug Ward},
}
.leventmay08.bib 0000600 0010230 0000457 00000054415 12346654603 013360 0 ustar hwolkowi none %% GI.bib
%% =============================================
%% Bibliography of Levent Tuncel
%% may/08
%% ============================================
%% Abbreviations of Journal names:
@string{AMEMM = "Amer. Math. Monthly"}
@string{ANNIS = "Ann. Inst. Statist. Math."}
@string{APPMC = "Appl. Math. Comput."}
@string{BULAM1 = "Bull. Amer. Math. Soc."}
@string{COMMA1 = "Comm. ACM"}
@string{COMPJ = "Comput. J."}
@string{COMPU = "Computing"}
@string{DOKAN2 = "Dokl. Akad. Nauk SSSR"}
@string{IEETA5 = "IEEE Trans. Automatic Control"}
@string{IEETS2 = "IEEE Trans. Systems Man Cybernet."}
@string{INDJM1 = "Indian J. Math."}
@string{ISRJM = "Israel J. Math."}
@string{JAMES = "J. Amer. Statist. Assoc."}
@string{JAPPT1 = "J. Approximation Theory"}
@string{JASSC = "J. Assoc. Comput. Mach."}
@string{JAUSMA = "J. Austral. Math. Soc. Ser. A"}
@string{JFRAI = "J. Franklin Inst."}
@string{JLONM1 = "J. London Math. Soc."}
@string{JMATA = "J. Math. Anal. Appl."}
@string{JOPTT2 = "J. Optim. Theory Appl."}
@string{LINAA1 = "Linear Algebra and its Applications"}
@string{LINMA = "Linear and Multilinear Algebra"}
@string{MATHC2 = "Math. Comput."}
@string{MATPC = "Math. Proc. Cambridge Philos. Soc."}
@string{NUMEM = "Numer. Math."}
@string{OPERR1 = "Operations Res."}
@string{PACJM = "Pacific J. Math."}
@string{PROAM = "Proc. Amer. Math. Soc."}
@string{PROCPS = "Proceedings of the Cambridge Philosophical Society"}
@string{PRONA = "Proc. Nat. Acad. Sci. U.S.A."}
@string{REVRM = "Rev. Roumaine Math. Pures Appl."}
@string{PRRSLA = "Proc. Roy. Soc. London Ser. A"}
@string{QUAAM = "Quart. Appl. Math."}
@string{SANKA = "Sankhy{\=a} Ser. A"}
@string{SANKB = "Sankhy{\=a} Ser. B"}
@string{SIAJA1 = "SIAM J. Algebraic Discrete Methods"}
@string{SIAJA = "SIAM J. Appl. Math."}
@string{SIAJC1 = "SIAM J. Comput."}
@string{SIAJC3 = "SIAM J. Control Optim."}
@string{SIAJC2 = "SIAM J. Control Optimization"}
@string{SIAJD = "SIAM J. Discrete Math."}
@string{SIAJM = "SIAM J. Math. Anal."}
@string{SIAJM1 = "SIAM J. Matrix Anal. Appl."}
@string{SIAJN = "SIAM J. Numer. Anal."}
@string{SIAJO = "SIAM J. Optim."}
@string{SIAJS1 = "SIAM J. Sci. Comput."}
@string{SIAJS = "SIAM J. Sci. Statist. Comput."}
@string{SIAMR = "SIAM Rev."}
@string{SOVMD = "Soviet Math. Dokl."}
@string{TRAAM = "Trans. Amer. Math. Soc."}
@string{ZANGM1 = "Z. Angew. Math. Mech."}
@string{ZANGM2 = "Z. Angew. Math. Phys."}
@string{ZVYCM1 = "Zh. Vychisl. Mat. i Mat. Fiz."}
%% =====================================================
@preamble{
"\def\polhk#1{\setbox0=\hbox{#1}{\ooalign{\hidewidth
\lower1.5ex\hbox{`}\hidewidth\crcr\unhbox0}}} "
}
@article {MR2363454,
AUTHOR = {Hong, Sung-Pil and Tun{\c{c}}el, Levent},
TITLE = {Unification of lower-bound analyses of the lift-and-project
rank of combinatorial optimization polyhedra},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {156},
YEAR = {2008},
NUMBER = {1},
PAGES = {25--41},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C10 (90C22 90C27)},
MRNUMBER = {MR2363454},
}
@article {MR2322886,
AUTHOR = {Chua, Chek Beng and Tun{\c{c}}el, Levent},
TITLE = {Invariance and efficiency of convex representations},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {111},
YEAR = {2008},
NUMBER = {1-2, Ser. B},
PAGES = {113--140},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C25 90C51)},
MRNUMBER = {MR2322886},
MRREVIEWER = {Qingzhi Yang},
}
@article {MR2335097,
AUTHOR = {Shioda, Romy and Tun{\c{c}}el, Levent},
TITLE = {Clustering via minimum volume ellipsoids},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {37},
YEAR = {2007},
NUMBER = {3},
PAGES = {247--295},
ISSN = {0926-6003},
MRCLASS = {90C22 (62H30 90C11)},
MRNUMBER = {MR2335097 (2008f:90072)},
}
@article {MR2295140,
AUTHOR = {Andersen, Erling and de Klerk, Etienne and Tun{\c{c}}el,
Levent and Wolkowicz, Henry and Zhang, Shuzhong},
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
}
@article {MR2131915,
AUTHOR = {Tun{\c{c}}el, Levent and Wolkowicz, Henry},
TITLE = {Strengthened existence and uniqueness conditions for search
directions in semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {400},
YEAR = {2005},
PAGES = {31--60},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C22 (15A39)},
MRNUMBER = {MR2131915 (2006a:90070)},
MRREVIEWER = {Etienne de Klerk},
}
@article {MR2124446,
AUTHOR = {Nemirovski, Arkadi and Tun{\c{c}}el, Levent},
TITLE = {``{C}one-free'' primal-dual path-following and
potential-reduction polynomial time interior-point methods},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {102},
YEAR = {2005},
NUMBER = {2, Ser. A},
PAGES = {261--294},
ISSN = {0025-5610},
MRCLASS = {90C51 (90C25)},
MRNUMBER = {MR2124446 (2006d:90235)},
MRREVIEWER = {Serge G. Kruk},
}
@article {MR2091033,
AUTHOR = {Lipt{\'a}k, L{\'a}szl{\'o} and Tun{\c{c}}el, Levent},
TITLE = {Lift-and-project ranks and antiblocker duality},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {33},
YEAR = {2005},
NUMBER = {1},
PAGES = {35--41},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C10 (05C69 90C22 90C27)},
MRNUMBER = {MR2091033 (2005e:90076)},
MRREVIEWER = {J{\"u}rgen K{\"o}hler},
}
@article {MR2062929,
AUTHOR = {Truong, Van Anh and Tun{\c{c}}el, Levent},
TITLE = {Geometry of homogeneous convex cones, duality mapping, and
optimal self-concordant barriers},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {100},
YEAR = {2004},
NUMBER = {2, Ser. A},
PAGES = {295--316},
ISSN = {0025-5610},
MRCLASS = {90C25 (49M37 52A41 65K05 90C05 90C51)},
MRNUMBER = {MR2062929 (2005a:90124)},
}
@article {MR2021059,
AUTHOR = {Lipt{\'a}k, L{\'a}szl{\'o} and Tun{\c{c}}el, Levent},
TITLE = {The stable set problem and the lift-and-project ranks of
graphs},
NOTE = {Integer programming (Pittsburgh, PA, 2002)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {98},
YEAR = {2003},
NUMBER = {1-3, Ser. B},
PAGES = {319--353},
ISSN = {0025-5610},
MRCLASS = {90C09 (05C69 90C27 90C57)},
MRNUMBER = {MR2021059 (2004j:90063)},
MRREVIEWER = {Mechthild Opperud},
}
@incollection {MR2021980,
AUTHOR = {Ho, Jackie C. K. and Tun{\c{c}}el, Levent},
TITLE = {Reconciliation of various complexity and condition measures
for linear programming problems and a generalization of
{T}ardos' theorem},
BOOKTITLE = {Foundations of computational mathematics (Hong Kong, 2000)},
PAGES = {93--147},
PUBLISHER = {World Sci. Publ., River Edge, NJ},
YEAR = {2002},
MRCLASS = {90C60 (65Y20 90C05)},
MRNUMBER = {MR2021980 (2004m:90243)},
MRREVIEWER = {E. Alper Y{\i} ld{\i} r{\i} m},
}
@article {MR1940975,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {On the finite convergence of successive {SDP} relaxation
methods},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {325--341},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1940975 (2003j:90035)},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1932386,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Some fundamental properties of successive convex relaxation
methods on {LCP} and related problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {24},
YEAR = {2002},
NUMBER = {3},
PAGES = {333--348},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C33 (90C09 90C11 90C20 90C48)},
MRNUMBER = {MR1932386 (2004b:90125)},
MRREVIEWER = {Panos M. Pardalos},
}
@article {MR1895826,
AUTHOR = {Tun{\c{c}}el, Levent and Xu, Song},
TITLE = {On homogeneous convex cones, the {C}arath\'eodory number, and
the duality mapping},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {26},
YEAR = {2001},
NUMBER = {2},
PAGES = {234--247},
ISSN = {0364-765X},
MRCLASS = {90C25 (52A41 90C51)},
MRNUMBER = {MR1895826 (2003c:90080)},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1876975,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {On the {S}later condition for the {SDP} relaxations of
nonconvex sets},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {29},
YEAR = {2001},
NUMBER = {4},
PAGES = {181--186},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C22 (90C27 90C46)},
MRNUMBER = {MR1876975 (2002k:90076)},
MRREVIEWER = {Klaus Hofstedt},
}
@article {MR1870745,
AUTHOR = {Goemans, Michel X. and Tun{\c{c}}el, Levent},
TITLE = {When does the positive semidefiniteness constraint help in
lifting procedures?},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {26},
YEAR = {2001},
NUMBER = {4},
PAGES = {796--815},
ISSN = {0364-765X},
MRCLASS = {90C09 (90C22 90C27)},
MRNUMBER = {MR1870745 (2002h:90036)},
MRREVIEWER = {Didier Henrion},
}
@article {MR1838754,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {Generalization of primal-dual interior-point methods to convex
optimization problems in conic form},
JOURNAL = {Found. Comput. Math.},
FJOURNAL = {Foundations of Computational Mathematics. The Journal of the
Society for the Foundations of Computational Mathematics},
VOLUME = {1},
YEAR = {2001},
NUMBER = {3},
PAGES = {229--254},
ISSN = {1615-3375},
MRCLASS = {90C51 (65K05 90C25)},
MRNUMBER = {MR1838754 (2002c:90105)},
MRREVIEWER = {Shu Zhong Zhang},
}
@article {MR1819786,
AUTHOR = {Todd, Michael J. and Tun{\c{c}}el, Levent and Ye, Yinyu},
TITLE = {Characterizations, bounds, and probabilistic analysis of two
complexity measures for linear programming problems},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {90},
YEAR = {2001},
NUMBER = {1, Ser. A},
PAGES = {59--69},
ISSN = {0025-5610},
MRCLASS = {90C05 (68Q25 90C51 90C60)},
MRNUMBER = {MR1819786 (2002f:90059)},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@article {MR1814549,
AUTHOR = {Pataki, G{\'a}bor and Tun{\c{c}}el, Levent},
TITLE = {On the generic properties of convex optimization problems in
conic form},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2001},
NUMBER = {3, Ser. A},
PAGES = {449--457},
ISSN = {0025-5610},
MRCLASS = {90C25 (90C31)},
MRNUMBER = {MR1814549 (2001k:90049)},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1795058,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Discretization and localization in successive convex
relaxation methods for nonconvex quadratic optimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2000},
NUMBER = {1, Ser. A},
PAGES = {79--111},
ISSN = {0025-5610},
MRCLASS = {90C26 (90C08 90C34 90C51)},
MRNUMBER = {MR1795058 (2002e:90070)},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@incollection {MR1778231,
AUTHOR = {Tuncel, Levent},
TITLE = {Potential reduction and primal-dual methods},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {235--265},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1778231},
}
@article {MR1774772,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Cones of matrices and successive convex relaxations of
nonconvex sets},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {10},
YEAR = {2000},
NUMBER = {3},
PAGES = {750--778 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C26 (52A41 90C20)},
MRNUMBER = {MR1774772 (2001i:90062)},
MRREVIEWER = {Jos F. Sturm},
}
@article {MR1712481,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {Approximating the complexity measure of {V}avasis-{Y}e
algorithm is {NP}-hard},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {86},
YEAR = {1999},
NUMBER = {1, Ser. A},
PAGES = {219--223},
ISSN = {0025-5610},
MRCLASS = {90C60 (65Y20)},
MRNUMBER = {MR1712481 (2000f:90114)},
MRREVIEWER = {Klaus Meer},
}
@article {MR1696861,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {On the condition numbers for polyhedra in {K}armarkar's form},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {24},
YEAR = {1999},
NUMBER = {4},
PAGES = {149--155},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C51 (90C05)},
MRNUMBER = {MR1696861 (2000f:90100)},
MRREVIEWER = {Shu Zhong Zhang},
}
@article {MR1679051,
AUTHOR = {Stephen, Tamon and Tun{\c{c}}el, Levent},
TITLE = {On a representation of the matching polytope via semidefinite
liftings},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {24},
YEAR = {1999},
NUMBER = {1},
PAGES = {1--7},
ISSN = {0364-765X},
MRCLASS = {90C35 (05C70 05C85 90C60)},
MRNUMBER = {MR1679051 (2000d:90102)},
MRREVIEWER = {Valentin E. Brimkov},
}
@article {MR1754742,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Monotonicity of primal-dual interior-point algorithms for
semidefinite programming problems},
NOTE = {Dedicated to Professor Masao Iri on the occasion of his 65th
birthday},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {10},
YEAR = {1998},
NUMBER = {2},
PAGES = {275--296},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1754742 (2000m:90026)},
}
@article {MR1653730,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {Primal-dual symmetry and scale invariance of interior-point
algorithms for convex optimization},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {23},
YEAR = {1998},
NUMBER = {3},
PAGES = {708--718},
ISSN = {0364-765X},
MRCLASS = {90C25 (52A41 90C60)},
MRNUMBER = {MR1653730 (99k:90119)},
MRREVIEWER = {Shinji Mizuno},
}
@article {MR1617693,
AUTHOR = {G{\"u}ler, Osman and Tun{\c{c}}el, Levent},
TITLE = {Characterization of the barrier parameter of homogeneous
convex cones},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {81},
YEAR = {1998},
NUMBER = {1, Ser. A},
PAGES = {55--76},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C30 (49M30)},
MRNUMBER = {MR1617693 (99f:90124)},
MRREVIEWER = {Guillermo L. Hansen},
}
@article {MR1601884,
AUTHOR = {Seifi, Abbas and Tun{\c{c}}el, Levent},
TITLE = {A constant-potential infeasible-start interior-point algorithm
with computational experiments and applications},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {9},
YEAR = {1998},
NUMBER = {2},
PAGES = {107--152},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C05},
MRNUMBER = {MR1601884 (98m:90083)},
MRREVIEWER = {K. Schittkowski},
}
@article {MR1462059,
AUTHOR = {Ramana, Motakuri V. and Tun{\c{c}}el, Levent and Wolkowicz,
Henry},
TITLE = {Strong duality for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3},
PAGES = {641--662},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (49M35 49N15)},
MRNUMBER = {MR1462059 (98m:90147)},
MRREVIEWER = {J. Borwein},
}
@article {MR1451702,
AUTHOR = {Tun{\c{c}}el, Levent and Todd, Michael J.},
TITLE = {On the interplay among entropy, variable metrics and potential
functions in interior-point algorithms},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {8},
YEAR = {1997},
NUMBER = {1},
PAGES = {5--19},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C05 (65K05)},
MRNUMBER = {MR1451702 (98h:90044)},
MRREVIEWER = {Yin Zhang},
}
@incollection {MR1423149,
AUTHOR = {Cheriyan, J. and Cunningham, W. H. and Tun{\c{c}}el, L. and
Wang, Y.},
TITLE = {A linear programming and rounding approach to max 2-sat},
BOOKTITLE = {Cliques, coloring, and satisfiability (New Brunswick, NJ,
1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {26},
PAGES = {395--414},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {90C09 (68Q25 90C27)},
MRNUMBER = {MR1423149 (97i:90044)},
}
@article {MR1397219,
AUTHOR = {Tun{\c{c}}el, Levent and Todd, Michael J.},
TITLE = {Asymptotic behavior of interior-point methods: a view from
semi-infinite programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {21},
YEAR = {1996},
NUMBER = {2},
PAGES = {354--381},
ISSN = {0364-765X},
MRCLASS = {90C05 (65K05)},
MRNUMBER = {MR1397219 (97e:90038)},
MRREVIEWER = {John J. Dinkel},
}
@article {MR1321918,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {On the convergence of primal-dual interior-point methods with
wide neighborhoods},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {4},
YEAR = {1995},
NUMBER = {2},
PAGES = {139--158},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C05},
MRNUMBER = {MR1321918 (96c:90050)},
MRREVIEWER = {S. R. Mohan},
}
@article {MR1297059,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {Constant potential primal-dual algorithms: a framework},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {145--159},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C05},
MRNUMBER = {MR1297059 (95f:90045)},
MRREVIEWER = {Florian Jarre},
}
@article {MR1287819,
AUTHOR = {Mizuno, Shinji and Todd, Michael J. and Tun{\c{c}}el, Levent},
TITLE = {Monotonicity of primal and dual objective values in
primal-dual interior-point algorithms},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {4},
YEAR = {1994},
NUMBER = {3},
PAGES = {613--625},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C05 (90C60)},
MRNUMBER = {MR1287819 (95e:90053)},
MRREVIEWER = {S.-C. Fang},
}
@article {MR1264268,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {On the complexity of preflow-push algorithms for maximum-flow
problems},
JOURNAL = {Algorithmica},
FJOURNAL = {Algorithmica. An International Journal in Computer Science},
VOLUME = {11},
YEAR = {1994},
NUMBER = {4},
PAGES = {353--359},
ISSN = {0178-4617},
CODEN = {ALGOEJ},
MRCLASS = {90B10 (05C85 68Q25 68R10)},
MRNUMBER = {MR1264268 (94m:90041)},
}
@article {MR1201998,
AUTHOR = {Todd, Michael J. and Tun{\c{c}}el, Levent},
TITLE = {A new triangulation for simplicial algorithms},
JOURNAL = {SIAM J. Discrete Math.},
FJOURNAL = {SIAM Journal on Discrete Mathematics},
VOLUME = {6},
YEAR = {1993},
NUMBER = {1},
PAGES = {167--180},
ISSN = {0895-4801},
CODEN = {SJDMEC},
MRCLASS = {65H20 (57Q15)},
MRNUMBER = {MR1201998 (93i:65062)},
}
@article {MR1183675,
AUTHOR = {Tun{\c{c}}el, Levent and Jackson, Peter L.},
TITLE = {On the convexity of a function related to the
{W}agner-{W}hitin model},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {11},
YEAR = {1992},
NUMBER = {4},
PAGES = {255--259},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90A11 (90B80)},
MRNUMBER = {MR1183675},
}
.lowner.bib 0000600 0010230 0000457 00000022771 12346654603 012512 0 ustar hwolkowi none # This file contains papers related to the Lowner partial order
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/lowner.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
@article {MR98f:47022,
AUTHOR = {Furuta, Takayuki},
TITLE = {Equivalence relations among {R}eid, {L}\"owner-{H}einz and
{H}einz-{K}ato inequalities, and extensions of these
inequalities},
JOURNAL = {Integral Equations Operator Theory},
FJOURNAL = {Integral Equations and Operator Theory},
VOLUME = {29},
YEAR = {1997},
NUMBER = {1},
PAGES = {1--9},
ISSN = {0378-620X},
}
@article {MR98d:62101,
AUTHOR = {Tsai, Ming-Tien},
TITLE = {Estimation of covariance matrices under {L}\"owner order
restrictions},
JOURNAL = {Sankhy\=a Ser. A},
FJOURNAL = {Sankhy\=a. The Indian Journal of Statistics. Series A},
VOLUME = {57},
YEAR = {1995},
NUMBER = {3},
PAGES = {433--439},
ISSN = {0581-572X},
}
@article {MR98c:15071,
AUTHOR = {Gro{\ss}, J{\"u}rgen},
TITLE = {Some remarks on the {L}\"owner partial ordering of {H}ermitian
matrices},
JOURNAL = {Discuss. Math. Algebra Stochastic Methods},
FJOURNAL = {Discussiones Mathematicae. Algebra and Stochastic Methods},
VOLUME = {16},
YEAR = {1996},
NUMBER = {2},
PAGES = {191--195},
ISSN = {1234-3080},
}
@article {MR98c:15015,
AUTHOR = {Liski, Erkki P.},
TITLE = {On {L}\"owner-ordering antitonicity of matrix inversion},
JOURNAL = {Acta Math. Appl. Sinica (English Ser.)},
FJOURNAL = {Acta Mathematicae Applicatae Sinica. English Series. Yingyong
Shuxue Xuebao},
VOLUME = {12},
YEAR = {1996},
NUMBER = {4},
PAGES = {435--442},
ISSN = {0168-9673},
CODEN = {AASSEE},
}
@article {MR98b:15018,
AUTHOR = {Zhuang, Wa Jin},
TITLE = {Some results on {L}\"owner's partial ordering of matrices over
the division ring of real quaternions},
JOURNAL = {Zhangzhou Shiyuan Xuebao (Ziran Kexue Ban)},
FJOURNAL = {Zhangzhou Shiyuan Xuebao (Ziran Kexue Ban). Journal of
Zhangzhou Teachers College (Natural Science Edition)},
VOLUME = {10},
YEAR = {1996},
NUMBER = {4},
PAGES = {1--6},
ISSN = {1004-468X},
}
@article {MR97f:15009,
AUTHOR = {Zhuang, Wa Jin},
TITLE = {L\"owner's partial ordering of generalized inverses
${A}\{i,\cdots,j;*\}$ of selfadjoint quaternion matrices},
JOURNAL = {J. Math. Study},
FJOURNAL = {Journal of Mathematical Study. Shuxue Yanjiu},
VOLUME = {28},
YEAR = {1995},
NUMBER = {1},
PAGES = {61--68},
ISSN = {1006-6837},
}
@article {MR97d:15010,
AUTHOR = {Van Barel, M. and Vav{\v{r}}{\'\i}n, Z.},
TITLE = {Inversion of a block {L}\"owner matrix},
JOURNAL = {J. Comput. Appl. Math.},
FJOURNAL = {Journal of Computational and Applied Mathematics},
VOLUME = {69},
YEAR = {1996},
NUMBER = {2},
PAGES = {261--284},
ISSN = {0377-0427},
CODEN = {JCAMDI},
}
@book {MR94g:62143,
AUTHOR = {Nordstr{\"o}m, Kenneth},
TITLE = {Contributions to the comparison of linear models and to the
{L}\"owner-ordering antitonicity of generalized inverses},
NOTE = {Dissertation, University of Helsinki, Helsinki, 1990},
SERIES = {Tilastotieteellisi\"a Tutkimuksia [Statistical Studies]},
VOLUME = {12},
PUBLISHER = {Finnish Statistical Society},
ADDRESS = {Helsinki},
YEAR = {1990},
PAGES = {x+89},
ISBN = {951-95421-6-7},
}
@article {MR93f:30020,
AUTHOR = {Wrzesie{\'n}, Andrzej},
TITLE = {L\"owner equation in the class ${S}\sp {M}(\beta)$},
JOURNAL = {Zeszyty Nauk. Politech. Rzeszowskiej Mat. Fiz.},
FJOURNAL = {Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka i Fizyka},
NUMBER = {12},
YEAR = {1991},
PAGES = {75--81},
ISSN = {0209-2670},
}
@article {MR93a:30018,
AUTHOR = {Betker, Th.},
TITLE = {Univalence criteria and {L}\"owner chains},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {23},
YEAR = {1991},
NUMBER = {6},
PAGES = {563--567},
ISSN = {0024-6093},
CODEN = {LMSBBT},
}
@article {MR92g:30022,
AUTHOR = {Betker, Th.},
TITLE = {L\"owner chains and {H}ardy spaces},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {23},
YEAR = {1991},
NUMBER = {4},
PAGES = {367--371},
ISSN = {0024-6093},
CODEN = {LMSBBT},
}
@article {MR92f:62073,
AUTHOR = {Calvin, James A. and Dykstra, Richard L.},
TITLE = {Maximum likelihood estimation of a set of covariance matrices
under {L}\"owner order restrictions with applications to
balanced multivariate variance components models},
JOURNAL = {Ann. Statist.},
FJOURNAL = {The Annals of Statistics},
VOLUME = {19},
YEAR = {1991},
NUMBER = {2},
PAGES = {850--869},
ISSN = {0090-5364},
CODEN = {ASTSC7},
}
@article {MR92e:15036,
AUTHOR = {Baksalary, Jerzy K. and Pukelsheim, Friedrich},
TITLE = {On the {L}\"owner, minus, and star partial orderings of
nonnegative definite matrices and their squares},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {151},
YEAR = {1991},
PAGES = {135--141},
ISSN = {0024-3795},
CODEN = {LAAPAW},
}
@article {MR91h:65019,
AUTHOR = {Fiedler, Miroslav},
TITLE = {L\"ownersche {M}atrizen und rationale {I}nterpolation},
NOTE = {Numerische Mathematik und ihre Anwendungen (Halle, 1982)},
JOURNAL = {Nova Acta Leopoldina (N.F.)},
FJOURNAL = {Nova Acta Leopoldina. Abhandlungen der Deutschen Akademie der
Naturforscher Leopoldina. Neue Folge},
VOLUME = {61},
YEAR = {1989},
NUMBER = {267},
PAGES = {185--190},
ISSN = {0369-5034},
CODEN = {NOALA4},
}
@article {MR91f:15014,
AUTHOR = {Baksalary, Jerzy K. and Nordstr{\"o}m, Kenneth and Styan,
George P. H.},
TITLE = {L\"owner-ordering antitonicity of generalized inverses of
{H}ermitian matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {127},
YEAR = {1990},
PAGES = {171--182},
ISSN = {0024-3795},
CODEN = {LAAPAW},
}
@article {MR91c:15002,
AUTHOR = {Nordstr{\"o}m, Kenneth},
TITLE = {Some further aspects of the {L}\"owner-ordering antitonicity of
the {M}oore-{P}enrose inverse},
JOURNAL = {Comm. Statist. Theory Methods},
FJOURNAL = {Communications in Statistics. Theory and Methods},
VOLUME = {18},
YEAR = {1989},
NUMBER = {12},
PAGES = {4471--4489 (1990)},
ISSN = {0361-0926},
CODEN = {CSTMDC},
}
@incollection {MR83h:15019,
AUTHOR = {Gaffke, N. and Krafft, O.},
TITLE = {Matrix inequalities in the {L}\"owner ordering},
BOOKTITLE = {Modern applied mathematics (Bonn, 1979)},
PAGES = {595--622},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1982},
}
@article {MR83g:47020,
AUTHOR = {Hansen, Frank and Pedersen, Gert Kjaerg{\.a}rd},
TITLE = {Jensen's inequality for operators and {L}\"owner's theorem},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {258},
YEAR = {1981/82},
NUMBER = {3},
PAGES = {229--241},
ISSN = {0025-5831},
CODEN = {MAANA3},
}
@article {MR82e:47021,
AUTHOR = {Sparr, Gunnar},
TITLE = {A new proof of {L}\"owner's theorem on monotone matrix
functions},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {47},
YEAR = {1980},
NUMBER = {2},
PAGES = {266--274},
ISSN = {0025-5521},
CODEN = {MTSCAN},
}
.master.bib 0000600 0010230 0000457 00003037604 12514226747 012504 0 ustar hwolkowi none # This file contains miscellaneous (mathematical) bib entries
## with emphasis on Optimization and Matrix Theory.
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in this file .master.bib.
####
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
#### as part of:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
###
### I will also include these in the dedicated file .strings.bib
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
####
#### The string definitions are in this file .master.bib
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/master.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
###################################
###################################
###################################
####string definitions start - always in .master.bib file first.
#### i.e. changes are made in this file and copied to .strings.bib
#############
#############
########### definitions from Sturm start here
#### definitions are put at start - others follow below.
@STRING{ SV = "Springer-Verlag" }
@STRING{ MGH = "Mc{G}raw-Hill" }
@STRING{ W = "Wiley" }
@STRING{ JW = "John Wiley" }
@STRING{ WI = "Wiley-Interscience" }
@STRING{ PH = "Prentice-Hall" }
@STRING{ AW = "Addison-Wesley" }
@STRING{ PUP = "Princeton University Press" }
@STRING{ AP = "Academic Press" }
@STRING{ CUP = "Cambridge University Press" }
@STRING{ OUP = "Oxford University Press" }
@STRING{ ESP = "Elsevier Science Publisher B.V." }
@STRING{ KAP = "Kluwer Adademic Publishers" }
@STRING{ NY = "New York" }
@STRING{ B = "Berlin" }
@STRING{ NJ = "New Jersey" }
@STRING{ NH = "North-Holland" }
@STRING{ EIEUR = "Econometric Institute, Erasmus University Rotterdam" }
@STRING{ ROT = "Rotterdam, The Netherlands" }
@STRING{ S = "STURM, J.F."}
@STRING{ SZ = "STURM, J.F. and Zhang, S."}
@STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and ZHANG, S."}
@STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
#############################################
# The following is from V. Balakrishnan on SDP and systems control
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
#############################################
@string{
ijrnc=
{Int.\ J.\ Robust and Nonlinear Control}
}
@string{
acc=
{Proc.\ American Control Conf.}
}
@string{
aut=
{Automatica}
}
@string{
tcst=
{IEEE Trans.\ Control Sys.\ Tech.}
}
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{
ieep=
{IEE Proc.}
}
#############################################
#############################################
##from Bertsimis
#############################################
@string{ICTA = {IEE Proc. -Control Theory Appl.}}
@String{IROS="IEEE Int. Conf. on Intelligent Robot Systems"}
@String{ICRA="Proc. IEEE Int. Conf. on Robotics and Automation"}
@String{IJRR = {Int. J. of Robot. Res.}}
@String{ITSMC ={IEEE Trans. Syst., Man, Cybern.}}
@String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals -
#### changed in master.bib first
@string{toms = "ACM Transactions on Mathematical Software"}
@STRING{aer = "American Economic Review"}
@STRING{ajae = "Americal Journal of Agricultural Economics"}
@STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."}
@STRING{AMERlong = "The American Statistician"}
@STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"}
@string{adm = "Ann. Discrete Math."}
@string{ADMlong = "Annals of Discrete Mathematics"}
@STRING{ams = "Annals of Mathematical Statistics"}
@STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."}
@STRING{ APNUMlong = "Applied Numerical Mathematics"}
@string{bell = "The Bell System Technical Journal"}
@string{ coap = "Comput. Optim. Appl."}
@string{ coa = "Comput. Optim. Appl."}
@string{ COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"}
@string{cacm = "Communications of the ACM"}
@STRING{ cor = "Comput. Oper. Res." }
@STRING{ CORlong = "Computer and Operations Research" }
@string{comp = "Computing"}
STRING{ CRAS = "Compt Rend Acad. Sci." }
@STRING{ CM = "Contemporary Mathematics" }
@STRING{ C = "Cybernetics" }
@STRING{cmj = "Czechoslovak Math. J."}
@STRING{dam = "Discrete Applied Mathematics"}
@STRING{dm = "Discrete Mathematics"}
@STRING{ ECPE = "Eng. Costs and Prod. Econ." }
@string{electjc = "Electronic J. Combinatorics"}
@string{ela = "Electronic J. Linear Algebra"}
@string{elalong = "The Electronic JOURNAL of Linear Algebra"}
@STRING{ejc = "European Journal of Combinatorics"}
@STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@STRING{ glasgow = "Glasgow Math. J."}
@STRING{ glasgowlong = "Glasgow Mathematical Journal"}
@string{jogo = "J. Global Optim."}
@string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"}
@STRING{ IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"}
@string{ijnme = "International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"}
@STRING{ JAMS = "J. Australian Math. Soc."}
@STRING{ JAMSlong = "J. of the Australian Mathematical Society"}
@string{ JCAM = {J. of Comput. Appl. Mathem.}}
@string{ JCAMlong = {J. of Computational and Applied Mathematics}}
@STRING{jacm = "J. Assoc. Comput. Mach."}
@STRING{JACMlong = "Journal of the Association of Computing Machinery"}
@string{jco = "J. Comb. Optim."}
@string{JCOlong = "Journal of Combinatorial Optimization"}
@STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"}
@STRING{joflong= "Journal of Finance"}
@STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and Applications"}
@STRING{ JORS = "J. Oper. Res. Soc." }
@STRING{ JRAM = "J. f{\"u}r die reine und angewandte {M}athematik"}
@STRING{ JRC = "J. of Regional Science" }
@string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and Applications"}
@STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of Standards"}
@STRING{jrssa = "Journal of the Royal Statistical Society: Series~A"}
@string{laa = "Linear Algebra Appl."}
@string{opte = "Optimization and Engineering"}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"}
@STRING{ms = "Management Sci."}
@STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" }
@string{mcomp = "Math. Comp."}
@string{MCOMPlong = "Mathematics of Computation"}
@STRING{ MP = "Math. Programming" }
@string{mprog = "Math. Programming"}
@STRING{MPROGlong = "Mathematical Programming"}
@STRING{mp = "Math. Programming"}
@string{MPlong = {Mathematical Programming}}
@STRING{mpa = "Math. Programming, Series A"}
@STRING{mps = "Math. Programming Studies"}
@STRING{mpb = "Math. Programming, Series B"}
@STRING{ MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."}
@STRING{ MORlong = "Mathematics of Operations Research" }
@STRING{mathz = "Math. Z."}
@STRING{ nrlq = "Naval Res. Logist. Quart." }
@STRING{ NRLQlong = "Naval Research Logistics Quarterly" }
@STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"}
@STRING{ OPTI = "Optimization" }
@string{ oms = "Optim. Methods Softw."}
@string{ OPSlong = "Optimization Methods and Software"}
@string{ornl = "Oak Ridge National Laboratory"}
@STRING{orl = "Operations Research Letters"}
@STRING{or = "Operations Research"}
@STRING{jorlong = "Journal of the Operations Research Society"}
@STRING{jor = "Oper. Res."}
@STRING{jors = "Oper. Res."}
@STRING{ ORQ = "Operations Research Quarterly" }
@STRING{pjm = "Pacific Journal of Mathematics"}
@string{pc = "Parallel Computing"}
@STRING{pams = "Proceedings of the American Mathematical Society"}
@STRING{rsue = "Regional Science and Urban Economics"}
@STRING{restud = "Review of Economics Studies"}
@STRING{ SIAM = "SIAM" }
@string{sijam = "SIAM J. Appl. Math."}
@string{SIJAMlong = "SIAM J. ON Applied Mathematics"}
@STRING{siad = "SIAM J. Algebraic Discrete Methods"}
@STRING{SIADlong = "SIAM Journal on Algebraic and Discrete Methods"}
@string{sdma = "SIAM J. Discrete Math."}
@string{SDMAlong = "SIAM Journal on Discrete Mathematics"}
@string{SIAGOPT = "SIAG/OPT Views-and-News"}
@STRING{ SRev = "SIAM Review" }
@STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." }
@STRING{ SJMA = "SIAM J. Math. Anal." }
@string{SJMAA = "SIAM J. Matrix Anal. Appl."}
@STRING{sijc = "SIAM J. on Computing"}
@STRING{SIJClong = "SIAM Journal on Computing"}
@string{sico = "SIAM J. Control Optim."}
@string{SICOlong = "SIAM J. on Control and Optimization"}
@string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and Applications"}
@string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."}
@STRING{SJNAlong = "SIAM J. on Numerical Analysis"}
@string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical Computing"}
@string{sir = "SIAM Review"}
### start strings from Goemans
@string{stoc95 = "Proc. of the 27th {ACM} Symp. on
Theory Comput."}
@string{stoc97 = "Proc. of the 29th {ACM} Symp. on
Theory Comput."}
@string{stoc98 = "Proc. of the 30th {ACM} Symp. on
Theory Comput."}
@string{stoc99 = "Proc. of the 31st {ACM} Symp. on
Theory Comput."}
@string{focs97 = "Proc. 38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on
Disc. Algs."}
### end strings from Goemans
@STRING{tr = "Transportation Research"}
@STRING{ts = "Transportation Science"}
@STRING{tams = "Transactions of the American Mathematical Society"}
@STRING{ TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."}
@STRING{UTILMATHlong = "Utilitas Mathematica"}
########################end of string definitions#########
#######################################
#######################################
####additions from Dima feb/2014
@article{BW80,
Author = {Borwein, J.M. and Wolkowicz, H.},
Coden = {JAMADS},
Date-Added = {2014-02-01 12:14:44 -0500},
Date-Modified = {2014-02-01 12:16:40 -0500},
Fjournal = {Australian Mathematical Society. Journal. Series A},
Issn = {0263-6115},
Journal = {J. Austral. Math. Soc. Ser. A},
Mrclass = {90C25},
Mrnumber = {614086 (83b:90121)},
Mrreviewer = {B. T. Polyak},
Number = {3},
Pages = {369--380},
Title = {Facial reduction for a cone-convex programming problem},
Volume = {30},
Year = {1980/81},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=614086}}
@article{R97,
Author = {Ramana, M.V.},
Coden = {MHPGA4},
Date-Added = {2014-02-01 12:21:47 -0500},
Date-Modified = {2014-02-01 12:22:15 -0500},
Doi = {10.1016/S0025-5610(96)00082-2},
Fjournal = {Mathematical Programming},
Issn = {0025-5610},
Journal = {Math. Programming},
Mrclass = {90C60 (49N15)},
Mrnumber = {1461379 (98j:90098)},
Mrreviewer = {Vaithilingam Jeyakumar},
Note = {Semidefinite programming},
Number = {2, Ser. B},
Pages = {129--162},
Title = {An exact duality theory for semidefinite programming
and its complexity implications},
Url = {http://dx.doi.org/10.1016/S0025-5610(96)00082-2},
Volume = {77},
Year = {1997},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=1461379}}
@article{BW81,
Author = {Borwein, J.M. and Wolkowicz, H.},
Coden = {JMANAK},
Date-Added = {2014-02-01 12:16:06 -0500},
Date-Modified = {2014-02-01 12:16:54 -0500},
Doi = {10.1016/0022-247X(81)90138-4},
Fjournal = {Journal of Mathematical Analysis and Applications},
Issn = {0022-247X},
Journal = {J. Math. Anal. Appl.},
Mrclass = {90C48 (90C25)},
Mrnumber = {641348 (83d:90236)},
Mrreviewer = {S. Zlobec},
Number = {2},
Pages = {495--530},
Title = {Regularizing the abstract convex program},
Url = {http://dx.doi.org/10.1016/0022-247X(81)90138-4},
Volume = {83},
Year = {1981},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=641348}}
@article{LSZ97,
Author = {Z.-Q. Lio and J. Sturm and S. Zhang },
Date-Added = {2014-02-01 12:24:49 -0500},
Date-Modified = {2014-02-01 12:26:46 -0500},
Journal = {Technical Report 9719/A, Erasmus University
Rotterdam, Econometric Institute, The Netherlands},
Title = {Duality results for conic convex programming},
Year = {1997}}
@article{MW13,
Author = {Waki, H. and Muramatsu, M.},
Coden = {JOTABN},
Date-Added = {2014-02-01 12:32:15 -0500},
Date-Modified = {2014-02-01 12:32:49 -0500},
Doi = {10.1007/s10957-012-0219-y},
Fjournal = {Journal of Optimization Theory and Applications},
Issn = {0022-3239},
Journal = {J. Optim. Theory Appl.},
Mrclass = {90C22},
Mrnumber = {3063940},
Number = {1},
Pages = {188--215},
Title = {Facial reduction algorithms for conic optimization
problems},
Url = {http://dx.doi.org/10.1007/s10957-012-0219-y},
Volume = {158},
Year = {2013},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=3063940}}
@article{P00,
Author = {G. Pataki},
Date-Added = {2014-02-01 12:34:17 -0500},
Date-Modified = {2014-02-01 12:35:32 -0500},
Journal = {Technical report, Columbia University},
Title = {A simple derivation of a facial reduction algorithm and
extended dual systems},
Year = {2000}}
#######################################
%AAAAAAAAAAAA
@ARTICLE {Aa:71,
author = "J.O. AASEN",
title = "On the reduction of a symmetric matrix to tridiagonal form",
journal = "BIT",
year = "1971",
volume = "11",
pages = "233-242"}
@article{abrams:706,
AUTHOR = {Abrams, R.A.},
collaboration = {},
title = {Projections of Convex Programs with Unattained Infima},
publisher = {SIAM},
year = {1975},
journal = {SIAM Journal on Control},
volume = {13},
number = {3},
pages = {706-718},
url = {http://link.aip.org/link/?SJC/13/706/1},
doi = {10.1137/0313040}
}
@techreport{IyigunBenisrael:10,
AUTHOR = "C. Iyigun and A. Ben-Israel",
TITLE = "Contributions to the multi-facility location problem",
TYPE = "Technical Report",
NUMBER = "Sept-10",
INSTITUTION = "RUTCOR, Rutgers University",
YEAR = "2010",
}
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MRREVIEWER = {Lajos L{\'a}szl{\'o}},
DOI = {10.2307/2323471},
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institution = "Department of Computer Science, University of
Colorado",
year = "1987",
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address = "Boulder, CO",
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journal = "J. Econometrics",
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volume = "38",
pages = "169-201"}
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year = "1981",
number = "81-3",
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%DDDDDDDDDDDDD
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than 50 lines of code.
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author = "J. DENNEL",
title = "On the continuity of point-to-set map with applications
to optimization",
booktitle = "Proceedings of the 2nd Symposium on Operations Research, Aachen",
year = "1977"}
@INCOLLECTION {Denn:71,
author = "J.E. {Dennis Jr.}",
title = "Toward a unified convergence theory for {N}ewton-like
methods",
booktitle = "Nonlinear Functional Analysis and Applications",
publisher = "Academic Press",
year = "1971",
editor = "L.B. Rall",
address = "New York, NY"}
@INCOLLECTION {Denn:73,
author = "J.E. {Dennis Jr.}",
title = "Some computational techniques for the nonlinear
least squares problem",
booktitle = "Numerical Solutions of Systems of Nonlinear Equations",
publisher = "Academic Press",
year = "1973",
editor = "G.D. Byrne and C.A. Hall",
pages = "157-183",
address = "New York, NY"}
@INCOLLECTION {Denn:77,
author = "J.E. {Dennis Jr.}",
title = "Nonlinear least squares and equations",
booktitle = "The State of the Art in Numerical Analysis",
publisher = "Academic Press",
year = "1977",
editor = "D. Jacobs",
pages = "269-312",
address = "London"}
@INCOLLECTION {Denn:78,
author = "J.E. {Dennis Jr.}",
title = "A brief introduction to quasi-{N}ewton methods",
booktitle = "Numerical Analysis",
publisher = "AMS",
year = "1978",
editor = "G.H. Golub and J. Oliger",
pages = "19-52",
address = "Providence, Rhode Island"}
@INPROCEEDINGS {Denn:84,
author = "J.E. {Dennis Jr.}",
title = "A user's guide to nonlinear optimization algorithms",
booktitle = "Proceedings of the IEEE, vol. 72 \#12",
year = "1984"}
@ARTICLE {DennGaWe:81a,
author = "J.E. {Dennis Jr.} and D.M. Gay and R.E. WELSCH",
title = "An adaptive nonlinear least-squares algorithm",
journal = "TOMS",
year = "1981",
volume = "7",
pages = "348-368"}
@ARTICLE {DennGaWe:81b,
author = "J.E. {Dennis Jr.} and D.M. Gay and R.E. WELSCH",
title = "Algorithm 573 {NL2SOL} - {A}n adaptive nonlinear
least-squares algorithm [{E}4]",
journal = "TOMS",
year = "1981",
volume = "7",
pages = "369-383"}
@ARTICLE {DennMar:82,
author = "J.E. {Dennis Jr.} and E.S. MARWIL",
title = "Direct secant updates of matrix factorizations",
journal = "Math. Comp.",
year = "1982",
volume = "38",
pages = "459-474"}
@ARTICLE {DennMei:79,
author = "J.E. {Dennis Jr.} and H.H. MEI",
title = "Two new unconstrained optimization algorithms
which use function and gradient values",
journal = "J. Optim. Theory Appl.",
year = "1979",
volume = "28",
pages = "453-482"}
@ARTICLE {DennMo:74,
author = "J.E. {Dennis Jr.} and J.J. Mor\'{e}",
title = "A characterization of superlinear convergence
and its application to quasi-{N}ewton methods",
journal = "Math. Comp.",
year = "1974",
volume = "28",
pages = "549-560"}
@ARTICLE {DennMo:77,
author = "J.E. {Dennis Jr.} and J.J. Mor\'{e}",
title = "Quasi-{N}ewton methods, motivation and theory",
journal = "SIAM Review",
year = "1977",
volume = "19",
pages = "46-89"}
@techreport{DennStei:98,
author = "J.E. Dennis and T. STEIHAUG",
year = "1998",
title = "A {F}erris-{M}angasarian technique applied to linear least
squares problems",
institution = "Rice University",
type = "CRPC Report",
keywords = "least squares, parallel",
number = "MS41" }
@ARTICLE {DennSch:79,
author = "J.E. {Dennis Jr.} and R.B. Schnabel",
title = "Least change secant updates for quasi-{N}ewton methods",
journal = "SIAM Review",
year = "1979",
volume = "21",
pages = "443-459"}
@INCOLLECTION {DennSch:81,
author = "J.E. {Dennis Jr.} and R.B. Schnabel",
title = "A new derivation of symmetric and positive definite
secant updates",
booktitle = "Nonlinear Programming 4",
publisher = "Academic Press",
year = "1981",
editor = "O.L. Mangasarian and R.R. Meyer and S.M. Robinson",
pages = "167-199",
address = "New York, NY"}
@BOOK {DennSch:83,
AUTHOR = {{Dennis Jr.}, J.E. and Schnabel, R.B.},
TITLE = {Numerical methods for unconstrained optimization and
nonlinear
equations},
NOTE = {Corrected reprint of the 1983 original},
SERIES = {Classics in Applied Mathematics},
VOLUME = {16},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1996},
PAGES = {xvi+378},
ISBN = {0-89871-364-1},
}
@TECHREPORT {DennSch:87,
author = "J.E. {Dennis Jr.} and R.B. Schnabel",
title = "A view of unconstrained optimization",
institution = "Department of Computer Science, University of
Colorado",
year = "1987",
number = "CU-CS-376-87",
address = "Boulder, CO",
note = "To appear in Handbooks in Operations Research and
Management Science. Handbook 1: Optimization.
G.L. Nemhauser, A.H.G. Rinnooy Kan and M.J. Todd,
editors"}
@TECHREPORT {DennShVu:85,
author = "J.E. {Dennis Jr.} and S. SHENG and P.H. VU",
title = "A memoryless augmented {G}auss-{N}ewton method
for nonlinear least-squares problems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1985",
number = "TR85-1",
address = "Houston, TX"}
@ARTICLE {DennTap:76,
author = "J.E. {Dennis Jr.} and R.A. Tapia",
title = "Supplementary terminology for nonlinear iterative
methods",
journal = "SIGNUM Newsletter",
year = "1976",
volume = "11",
number = "4",
pages = "4-6"}
@ARTICLE {DennWal:81,
author = "J.E. {Dennis Jr.} and H.F. WALKER",
title = "Convergence theorems for least-change secant update
methods",
journal = "SIAM J. Numer. Anal.",
year = "1981",
volume = "18",
pages = "949-987"}
@TECHREPORT {DennWal:83,
author = "J.E. {Dennis Jr.} and H.F. WALKER",
title = "Inaccuracy in quasi-{N}ewton methods: local improvement
theorems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1983",
number = "TR83-11",
address = "Houston, TX"}
@ARTICLE {DennWal:85,
author = "J.E. {Dennis Jr.} and H.F. WALKER",
title = "Least-change sparse secant update methods with
inaccurate secant conditions",
journal = "SIAM J. Numer. Anal.",
year = "1985",
volume = "22",
pages = "760-778"}
@INCOLLECTION {DennWoo:87,
author = "J.E. {Dennis Jr.} and D.J. WOODS",
title = "Optimization and microcomputers: {T}he {N}elder-{M}ead
simplex algorithm",
booktitle = "New Computing Environments: Microcomputers in
Large-Scale Computing",
publisher = "SIAM",
year = "1987",
editor = "A. Wouk",
pages = "116-122",
address = "Philadelphia"}
@TECHREPORT {DennHeinkVic:95,
author = "J.E. {Dennis Jr.} and M. HEINKENSCHLOSS and L.N.
VICENTE",
title = "Trust-region interior-point SQP algorithms for a
class of nonlinear programming problems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1995",
number = "CRPC-TR95512",
address = "Houston, TX"}
@ARTICLE {DenRoSwa:77,
author = "M.B. DENTON and M.W. ROUTH and P.A. SWARTZ",
title = "Performance of the super modified {S}implex",
journal = "Anal. Chem.",
year = "1977",
volume = "49",
number = "9",
pages = "1422-1428"}
@BOOK {Deuf:96,
author = "P. DEUFLHARD",
title = "{N}ewton Techniques for Highly Nonlinear Problems -
Theory and Algorithms",
publisher = "Academic Press,Inc.",
note = "(To be published)",
year = "1996"}
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AUTHOR = {Deutsch, F.},
TITLE = {The role of the strong conical hull intersection property
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BOOKTITLE = {Approximation theory IX, Vol. I. (Nashville, TN, 1998)},
SERIES = {Innov. Appl. Math.},
PAGES = {105--112},
PUBLISHER = {Vanderbilt Univ. Press},
ADDRESS = {Nashville, TN},
YEAR = {1998},
MRCLASS = {90C46 (41A65)},
MRNUMBER = {MR1742997 (2001c:90098)},
MRREVIEWER = {Wu Li},
}
@incollection {MR96e:46027,
AUTHOR = {DEUTSCH, F.},
TITLE = {The angle between subspaces of a {H}ilbert space},
BOOKTITLE = {Approximation theory, wavelets and applications (Maratea,
1994)},
SERIES = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
VOLUME = {454},
PAGES = {107--130},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1995},
MRCLASS = {46C05 (47A05 65J05)},
MRNUMBER = {96e:46027},
}
@ARTICLE {DeDe:88,
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title = "The generalized {S}chur algorithm:
approximation and hierarchy",
journal = "Operator Theory: Advances and Applications",
year = "1988",
volume = "29",
publisher = "Birkhauser Verlag Basel",
pages = "97-116"}
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VOLUME = {5},
YEAR = {1994},
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volume = "174",
year = "1967",
pages = "747--748",
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year = "1979",
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pages = "618-628"}
@ARTICLE{deuermeyer,
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PAGES = "15 - 17",
YEAR = "1990"}
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YEAR = "1996"}
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author = "L.C.W. DIXON",
title = "Quasi-{N}ewton family generate identical points,
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volume = "2",
pages = "383-387"}
@ARTICLE {Dix2:72b,
author = "L.C.W. DIXON",
title = "Quasi-{N}ewton family generate identical points,
part {II}",
journal = "Math. Prog.",
year = "1972",
volume = "3",
pages = "345-358"}
@INCOLLECTION {Dix:72,
author = "L.C.W. DIXON",
title = "The choice of step length, a crucial factor in the
performance of variable metric algorithms",
booktitle = "Numerical Methods for Nonlinear Optimization",
publisher = "Academic Press",
year = "1972",
editor = "F. Lootsma",
pages = "149-170",
address = "New York, NY"}
@ARTICLE {Dix:91,
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relative performance of parallel truncated {N}ewton
and variable metric algorithms",
journal = siopt,
year = "1991",
volume = "1",
pages = "475-486"}
@TECHREPORT {DHM:84,
author = "L.C.W. DIXON and S.E. HERSOM and Z.A. MAANY",
title = "Initial experience obtained solving the low
thrust satellite trajectory optimisation problem",
institution = "The Hatfield Polytechnic Numerical
Optimization Centre",
year = "1984",
number = "T.R. 152"}
@BOOK {DixSz:75,
author = "L.C.W. DIXON and G.P. SZEGO",
title = "Towards Global Optimization, 1",
publisher = "North-Holland",
year = "1975",
address = "Amsterdam"}
@BOOK {DixSz:78,
author = "L.C.W. DIXON and G.P. SZEGO",
title = "Towards Global Optimization, 2",
publisher = "North-Holland",
year = "1978",
address = "Amsterdam"}
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@INPROCEEDINGS {DonSchn:86,
author = "J.R. DONALDSON and R.B. Schnabel",
title = "Computational experience with confidence regions
and confidence intervals for nonlinear least squares",
booktitle = "Computer Science and Statistics: Proceedings of the
17th Conference on the Interface",
year = "1986",
editor = "D.M. Allen",
pages = "83-93",
publisher = "North-Holland",
address = "Amsterdam"}
@ARTICLE {DonSchn:87,
author = "J.R. DONALDSON and R.B. Schnabel",
title = "Computational experience with confidence regions and
confidence intervals for nonlinear least squares",
journal = "Technometrics",
year = "1987",
volume = "29",
pages = "67-82"}
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Eigenvectors of Connection Matrices",
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VOLUME = " 15",
NUMBER ="3",
YEAR = "1972",
PAGES = "938--944",
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author = "W.E. Donath and A.J. Hoffman",
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JOURNAL = {IBM J. Res. Develop.},
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VOLUME = {17},
YEAR = {1973},
PAGES = {420--425},
ISSN = {0018-8646},
MRCLASS = {05C99},
MRNUMBER = {MR0329965 (48 \#8304)},
MRREVIEWER = {Moshe Rosenfeld}
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@ARTICLE{Donoho:94,
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YEAR = {1994},
VOLUME = {81},
NUMBER = {3},
PAGES = {425--455}
}
@ARTICLE{Donoho:95,
AUTHOR = {D.~L.~DONOHO and I.~M.~JOHNSTONE},
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JOURNAL = {Journal of the American Statistical Association},
YEAR = {1995},
VOLUME = {90},
NUMBER = {432},
PAGES = {1200--1224}
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@ARTICLE{Donoho:SHRINK,
AUTHOR = {D.~L.~DONOHO and I.~M.~JOHNSTONE and G.~KERKYACHARIAN and D.~PICARD},
TITLE = {Wavelet Shrinkage: asymptopia?},
JOURNAL = {Journal of the Royal Statistical Society, Ser.~B},
YEAR = {1995},
VOLUME = {57},
PAGES = {301--337}
}
@article{DrMaMu:08,
Author = {P. DRINEAS and M.W. MAHONEY and S.
MUTHUKRISHNAN},
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Journal = {SIAM Journal on Matrix Analysis and Applications},
Keywords = {CUR matrix decomposition; random sampling
algorithms;
data analysis; approximate least squares},
Number = {2},
Pages = {844-881},
Publisher = {SIAM},
Title = {Relative-Error $CUR$ Matrix Decompositions},
Url = {http://link.aip.org/link/?SML/30/844/1},
Volume = {30},
Year = {2008}
}
@article {MR2001f:65050,
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VOLUME = {22},
YEAR = {2000},
NUMBER = {1},
PAGES = {173--194 (electronic)},
ISSN = {1095-7162},
MRCLASS = {65F30 (65D99 65G50)},
MRNUMBER = {2001f:65050},
MRREVIEWER = {A. Barraud},
}
@article {MR3303206,
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FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'ematiques},
VOLUME = {58},
YEAR = {2015},
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MRNUMBER = {3303206},
DOI = {10.4153/CMB-2014-013-8},
URL = {http://dx.doi.org/10.4153/CMB-2014-013-8},
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@article {MR3299130,
AUTHOR = {Drusvyatskiy, D. and Ioffe, A.D. and Lewis, A.S.},
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NUMBER = {1},
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ISSN = {0363-0129},
MRCLASS = {49J52 (14P15 26D10 37B35)},
MRNUMBER = {3299130},
DOI = {10.1137/130920216},
URL = {http://dx.doi.org/10.1137/130920216},
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NUMBER = {1},
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URL = {http://dx.doi.org/10.1090/S0002-9947-2014-06412-X},
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MRREVIEWER = {Adam B. Levy},
DOI = {10.1007/s10107-013-0730-4},
URL = {http://dx.doi.org/10.1007/s10107-013-0730-4},
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@article {MR3205737,
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YEAR = {2014},
NUMBER = {2},
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MRNUMBER = {3205737},
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author = "I.S. DUFF and J. Nocedal and J.K. REID",
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institution = "Department of Electrical Engineering and Computer
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year = "1984",
number = "CSS 145",
address = "Evanston,IL"}
@INCOLLECTION {DuRe:79,
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%EEEEEEEEEEEEE
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%FFFFFFFFF
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INSTITUTION = "Princeton University",
ADDRESS = "Princeton, NJ",
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YEAR = "2007",
}
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EDITION = "second",
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@book {MR97a:90004,
TITLE = {State of the art in global optimization},
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NOTE = {Computational methods and applications,
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PUBLISHER = {Kluwer Academic Publishers},
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YEAR = {1996},
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}
@book {MR96f:90013,
TITLE = {State of the art in global optimization: computational
methods
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TITLE = {Conference on {C}omputational {M}ethods in {G}lobal
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EDITOR = {Floudas, C. A. and Pardalos, P. M.},
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%GGGGGGGGGG
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title = "An Annotated Bibliography for Post-solution Analysis in
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year = "1997"
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author = "H.J. GREENBERG",
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in mixed integer programming and combinatorial optimization",
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institution = "Department of Mathematics, Southern Methodist
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author = "O. G{\" U}LER",
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%HHHHHHHH
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number = "TR78-336",
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year={2014},
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keywords={Abstracts;Convergence;Optimization;Projection algorithms;Signal processing algorithms;Sparse matrices;Vectors;Compressed sensing;iterative methods;linear systems;optimization;projection algorithms;sparse matrices},
doi={10.1109/TSP.2014.2339801},
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}
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URL =
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}
@article {MR2276551,
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MRCLASS = {65F15 (15A18)},
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MRREVIEWER = {Marc Van Barel},
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URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/050628283},
}
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YEAR = {2000},
NUMBER = {4},
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ISSN = {0895-4798},
MRCLASS = {65F20 (65F15)},
MRNUMBER = {1780268 (2001d:65051)},
DOI = {10.1137/S0895479899356080},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/S0895479899356080},
}
@Book{Higham:2000:MG,
author = "D.J. Higham and N.J. HIGHAM",
title = "{MATLAB} Guide",
publisher = "Society for Industrial and Applied Mathematics",
address = "Philadelphia, PA, USA",
year = "2000",
pages = "xxii+283",
ISBN = "0-89871-516-4"
}
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@book {MR2396439,
AUTHOR = {Higham, N.J.},
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PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2008},
PAGES = {xx+425},
ISBN = {978-0-89871-646-7},
MRCLASS = {15-02 (93B40 93C05)},
MRNUMBER = {2396439 (2009b:15001)},
MRREVIEWER = {Daniel Kressner},
DOI = {10.1137/1.9780898717778},
URL =
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}
@book {MR2135945,
AUTHOR = {Higham, Desmond J. and Higham, N.J.},
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EDITION = {Second},
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ADDRESS = {Philadelphia, PA},
YEAR = {2005},
PAGES = {xxiv+382},
ISBN = {0-89871-578-4},
MRCLASS = {65-00 (00A20)},
MRNUMBER = {2135945},
DOI = {10.1137/1.9780898717891},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/1.9780898717891},
}
@book {MR1927606,
AUTHOR = {Higham, N.J.},
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EDITION = {Second},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2002},
PAGES = {xxx+680},
ISBN = {0-89871-521-0},
MRCLASS = {65G50 (65-02)},
MRNUMBER = {1927606 (2003g:65064)},
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URL =
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}
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AUTHOR = {Higham, Desmond J. and Higham, N.J.},
TITLE = {M{ATLAB} guide},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2000},
PAGES = {xxii+283},
ISBN = {0-89871-469-9},
MRCLASS = {65-04 (00A20)},
MRNUMBER = {1787308 (2001e:65003)},
}
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AUTHOR = {Higham, N.J.},
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ADDRESS = {Philadelphia, PA},
YEAR = {1998},
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MRCLASS = {00A20},
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DOI = {10.1137/1.9780898719550},
URL =
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}
@book {MR1368629,
AUTHOR = {Higham, N.J.},
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YEAR = {1996},
PAGES = {xxviii+688},
ISBN = {0-89871-355-2},
MRCLASS = {65G05 (65-02 65F05)},
MRNUMBER = {1368629 (97a:65047)},
MRREVIEWER = {S. Hitotumatu},
}
@book {MR1223778,
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ADDRESS = {Philadelphia, PA},
YEAR = {1993},
PAGES = {xii+241},
ISBN = {0-89871-314-5},
MRCLASS = {00A20},
MRNUMBER = {1223778 (94f:00005)},
}
@book{Higham:2008:FM,
author = "N.J. Higham",
title = "Functions of Matrices: {Theory} and Computation",
publisher = "Society for Industrial and Applied Mathematics",
address = "Philadelphia, PA, USA",
year = "2008",
pages = "xx+425",
isbn = "978-0-898716-46-7"
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@book {Higbook:93,
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}
@techreport{Higham:1996:RDD,
author = "N.J. Higham",
title = "Recent Developments in Dense Numerical Linear Algebra",
institution = "Manchester Centre for Computational Mathematics",
address = "Manchester, England",
type = "Numerical Analysis Report",
number = "No. 288",
pages = "26",
month = apr,
year = "1996",
URL = "ftp://ftp.ma.man.ac.uk/pub/narep/narep288.ps.gz",
keywords = "Numerical linear algebra, linear system,
least squares problem, eigenvalue problem, LAPACK",
note = "To appear in {\em The State of the Art in Numerical Analysis},
I. S. Duff and G. A. Watson, editors,
Oxford University Press"
}
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JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {23},
YEAR = {2001},
NUMBER = {2},
PAGES = {472--493 (electronic)},
ISSN = {1095-7162},
MRCLASS = {65F15},
MRNUMBER = {2002i:65039},
MRREVIEWER = {David Scott Watkins},
}
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NUMBER = {4},
PAGES = {495--509},
ISSN = {0272-4979},
CODEN = {IJNADN},
MRCLASS = {65F30},
MRNUMBER = {98e:65036},
}
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}
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@BOOK{ HiriartUrrutyLemarechal93b,
author = "J.B. HIRIART-URRUTY and C. LEMARECHAL",
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@article{citeulike:3819014,
abstract = {Abstract\ \ The celebrated S-lemma
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quadratic function over a single quadratic inequality. However, this
lemma fails without the technical condition, known as the Slater
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of the S-lemma in the absence of the Slater condition. Consequently, we
present characterizations of global optimality and the Lagrangian
duality for quadratic optimization problems with a single quadratic
constraint. Our method of proof makes use of Brickman's theorem and
conjugate analysis, exploiting the hidden link between the convexity and
the S-lemma.},
author = {Jeyakumar, Vaithilingam and Huy, Nguyen and Li,
Guoyin},
citeulike-article-id = {3819014},
citeulike-linkout-0 =
{http://dx.doi.org/10.1007/s11081-008-9076-9},
citeulike-linkout-1 =
{http://www.springerlink.com/content/w04746n057302g0t},
doi = {10.1007/s11081-008-9076-9},
journal = {Optimization and Engineering},
posted-at = {2008-12-22 19:28:10},
title = {Necessary and sufficient conditions for S -lemma and
nonconvex quadratic optimization},
url = {http://dx.doi.org/10.1007/s11081-008-9076-9}
}
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url = {http://link.aip.org/link/?SJE/20/983/1},
doi = {10.1137/080736090}
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@phdthesis{Lobo1,
author = "M.S. LOBO",
year = 2000,
title = "Convex and Robust Optimization with
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school = {Stanford University, USA},
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MRREVIEWER = {R. Piziak},
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%MMMMMMMMMMMM
@phdthesis{MA12,
author = {Ma, Y.},
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title = {Polynomial Optimization via Low-rank
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%NNNNNNNNNNNNNNNNNNNNN
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%OOOOO
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[download]
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%QQQQQQQQQQQQQQQ
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equations",
institution = "Department of Computer Science, University of
Colorado",
year = "1983",
number = "CU-CS-247-83",
address = "Boulder, CO"}
@INCOLLECTION {Schna:85,
author = "R.B. Schnabel",
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booktitle = "Computational Mathematical Programming",
publisher = "Springer-Verlag",
year = "1985",
editor = "K. Schittkowski",
pages = "357-381",
address = "Berlin"}
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volume = "64",
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title = "Sequential and parallel methods for unconstrained
optimization",
institution = "Department of Computer Science, University of
Colorado",
year = "1988",
number = "CU-CS-414-88",
address = "Boulder, CO",
note = "To appear in book of plenary and survey talks from
13th International Conference on Mathematical
Programming, Tokyo, Japan, Aug. 1988"}
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AUTHOR = "H. SCHRAMM and J. ZOWE",
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Trust Region Concept",
BOOKTITLE = "Advances in Mathematical Optimization",
PUBLISHER = "Akademie Verlag Berlin",
YEAR = 1988,
EDITOR = "J. Guddat et al."
}
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AUTHOR = "H. SCHRAMM and J. ZOWE",
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Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results",
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YEAR = 1992,
PAGES = "121-152"}
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INSTITUTION = "NASA Ames Research Center",
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school = "University of California at San Diego",
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title = "Updating the symmetric indefinite factorization
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year = "1977",
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MRCLASS = {90C30},
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}
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author = "T. STEIHAUG",
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year = "1980",
type = "SOM Technical Report",
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address = "New Haven, CT"}
@TECHREPORT {Stei:81,
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%TTTTTTTTTTTTTTTTTTTT
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%%%%%%%%%%%%%colourful papers - colourful simplex e.g. by Deza et al
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%end colourful simplices
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%UUUUUUUUUUUUUU
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%VVVVVVVVV
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@preamble{
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}
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% WWWWWWWWWWWWWW
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%XXXXXXXXXXXXXXXXXXXXXXXXXXX
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BOOKTITLE = {Nonlinear {P}rogramming ({P}roc. {S}ympos., {U}niv. of
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PAGES = {123--176},
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ADDRESS = {New York},
YEAR = {1970},
MRCLASS = {90.58 (65.00)},
MRNUMBER = {0272396 (42 \#7277)},
}
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VOLUME = {11},
YEAR = {1968},
PAGES = {401--406},
ISSN = {0001-0782},
MRCLASS = {65.35},
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@article{kn:watson76,
author = "Watson, G. A.",
year = 1976,
title = {A Method for Calculating Best Non-linear {Chebyshev} Approximations},
journal = "J. Inst. Math. Appl.",
volume = 18,
pages = "351-360"
}
@article{kn:wat,
author = " Watson, G. A.",
year = 1979,
title = {The Minimax Solution of an Overdetermined System of Non-linear
Equations},
journal = "J. Inst. Math. Appl.",
volume = 23,
pages = "167-180"
}
@article{kn:wmf,
author = "R. S. Womersley and R. Fletcher",
title = {An Algorithm for Composite Nonsmooth Optimization Problems},
journal = "J. Opt. Theory and Applis.",
volume = 48,
year = 1986,
pages ="493-523"
}
@article{kn:cheby,
author = "Chebyshev",
title = " \em Sur les questions de minimum qui se rattachent \`{a}
la r\'{e}pr\'{e}sentation approximative des fonctions",
journal = " Oeuvres",
volume = 1,
address = " St. Petersburg",
year = 1899,
pages = "273-378"
}
@article{kn:mo,
author = "W. Murray and M.L. Overton",
title = {A Projected {Lagrangian} Algorithm for Nonlinear Minimax Optimization},
journal = "SIAM. J. Sci. Stat. Comput.",
volume = 1,
year = 1980,
pages = " 345-370"
}
@book{kn:watson3,
author = "G. A. Watson",
title = " Approximation Theory and Numerical Methods",
publisher = "John Wiley",
year = 1980
}
@book{f,
author = "R. Fletcher",
year = 1987,
title = "Practical Methods of Optimization",
edition = "second",
publisher = "Wiley-Interscience"
}
@article{w,
author = "P. Wolfe",
title = {A technique for resolving degeneracy in linear programming},
journal = "SIAM Journal",
volume = 11,
year = 1963,
pages = "205-211"
}
@article{ro,
author = "D. M. Ryan and M. R. Osborne",
title = {On the solution of highly degenerate linear programmes},
journal = mprog,
volume = 41,
year = 1988,
pages = "385-392"
}
% addbib - additions from Serge Kruk for China proceedings
@TECHREPORT {St:93,
author = "G.W. Stewart",
title = "On Infinitely Many Algorithms for Solving Equations",
institution = "University of Maryland",
year = "1993",
number = "TR-92-121",
note = "Translation of the 1870 Schr{\"o}der paper"}
@TECHREPORT {PY:86,
author = "M.J.D. Powell and Y. YUAN",
title = "A trust region algorithm for equality
constrained optimization",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
year = "1986",
number = "DAMTP 1986/NA2",
address = "Cambridge, England"}
@ARTICLE {VM:90,
author = "G.G. VINING and R.H. MYERS",
title = "Combining Taguchi and Response Surface
Philosophies: A Dual Response Approach" ,
journal = "Journal of Quality Technology",
year = "1990",
volume = "22",
pages = "38-45"}
@article {MR1885208,
AUTHOR = {Dantzig, G.B.},
TITLE = {Linear programming},
NOTE = {50th anniversary issue of Operations Research},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research},
VOLUME = {50},
YEAR = {2002},
NUMBER = {1},
PAGES = {42--47},
ISSN = {0030-364X},
CODEN = {OPREAI},
MRCLASS = {90C05 (90-03)},
MRNUMBER = {1885208},
DOI = {10.1287/opre.50.1.42.17798},
URL = {http://dx.doi.org/10.1287/opre.50.1.42.17798},
}
@ARTICLE {Da:49,
author = "G.B. Dantzig",
title = "Programming in a linear structure",
journal = "Econometrica",
year = "1949",
volume = "17"}
@ARTICLE {KuTu:51,
author = "H.W. KUHN and A.W. TUCKER",
title = "Nonlinear programming",
journal = "Econometrica",
year = "1951",
volume = "19"}
@BOOK{Be:95,
AUTHOR = "M. J. BEST and K. RITTER ",
TITLE = "Quadratic Programming Active Set Analysis
and Computer Programs",
publisher = "University of Waterloo",
YEAR = 1995
}
@ARTICLE {Best1,
author = "M.J. BEST and J. HLOUSKOVA",
title = "An algorithm for portfolio optimization
with transaction costs",
journal = "Management Science",
year = "2005",
pages = "1676--1688",
volume = "51"}
@article {MR2312254,
author = "M.J. BEST and J. HLOUSKOVA",
TITLE = {Quadratic programming with transaction costs},
JOURNAL = {Comput. Oper. Res.},
FJOURNAL = {Computers \& Operations Research},
VOLUME = {35},
YEAR = {2008},
NUMBER = {1},
PAGES = {18--33},
ISSN = {0305-0548},
CODEN = {CMORAP},
MRCLASS = {91B28 (90C20)},
MRNUMBER = {MR2312254},
}
@article {MR1954028,
author = "M.J. BEST and J. HLOUSKOVA",
TITLE = {Portfolio selection and transactions costs},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {24},
YEAR = {2003},
NUMBER = {1},
PAGES = {95--116},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C20 (90C31 91B28)},
MRNUMBER = {MR1954028 (2003m:90084)},
}
@ARTICLE {ElAl:91,
author = "M. EL-ALEM",
title = "A Global convergence theory for the {CDT}
trust-region algorithm for constrained optimization" ,
journal = sinum,
year = "1991",
volume = "28",
pages = "266-290"}
@ARTICLE {FuKo:95b,
author = "T. Fujie and M. Kojima",
title = "Semidefinite Programming Relaxation for
Nonconvex Quadratic Programs" ,
journal = "Technical report",
institution = "Dept. of Information Sciences",
address= "Tokyo Institute of Technology, Tokyo, Japan",
year = "1995",
volume = "",
pages = ""}
@ARTICLE {LySz:94,
author = "S. Lyle and M. Szularz",
title = "Local Minima of the Trust Region Problem" ,
journal = jota,
year = "1994",
volume = "80",
pages = "117-134"}
@ARTICLE {Dr:63,
author = "N.R. DRAPER",
title = "Ridge analysis of surface response" ,
journal = "Technometrics",
year = "1959",
volume = "5",
pages = "469-479"}
@ARTICLE {Ho:59,
author = "A.E. HOERL",
title = "Optimal solution of many-variable equations" ,
journal = "Chemical engineering progress",
year = "1959",
volume = "55",
pages = "69-78"}
@ARTICLE {MyCa:73,
author = "R.H. MYERS and W.H. CARTER",
title = "Response surface techniques for Dual Response
Systems",
journal = "Technometrics",
year = "1973",
volume = "15",
pages = "301-317"}
@ARTICLE {PoYu:86,
author = "M.J.D. Powell and Y. YUAN",
title = "A recursive quadratic programming algorithm that
uses differentiable penalty functions",
journal = "Math. Prog.",
year = "1986",
volume = "7",
pages = "265-278"}
@ARTICLE {Rocka:73,
author = "R.T. Rockafellar",
title = "Augmented Lagrange Multipliers Functions and
Duality in Nonconvex Programming",
journal = "SIAM Journal on Control",
year = "1973",
volume = "12",
pages = "268-285"}
@ARTICLE {Han:77b,
author = "S.P. HAN",
title = "A globally convergent method for nonlinear programming",
journal = jota,
year = "1977",
volume = "22",
pages = "297-309"}
@article {MaMa:95,
AUTHOR = {MATHIS, F.H. and MATHIS, L.J.},
TITLE = {A nonlinear programming algorithm for hospital management},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review. A Publication of the Society for Industrial and
Applied Mathematics},
VOLUME = {37},
YEAR = {1995},
NUMBER = {2},
PAGES = {230--234},
ISSN = {0036-1445},
CODEN = {SIREAD},
}
@incollection {MR96m:90100,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Fractional programming},
BOOKTITLE = {Handbook of global optimization},
PAGES = {495--608},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {2},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1995},
}
@article {MR84m:90122,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Fractional programming},
JOURNAL = {Z. Oper. Res. Ser. A-B},
FJOURNAL = {Zeitschrift f\"ur Operations Research. Serie A. Serie
B},
VOLUME = {27},
YEAR = {1983},
NUMBER = {1},
PAGES = {39--54},
ISSN = {0340-9422},
MRCLASS = {90C32},
MRNUMBER = {84m:90122},
}
@article {MR84c:90091,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Bibliography in fractional programming},
JOURNAL = {Z. Oper. Res. Ser. A-B},
FJOURNAL = {Zeitschrift f\"ur Operations Research. Serie A. Serie
B},
VOLUME = {26},
YEAR = {1982},
NUMBER = {7},
PAGES = {A211--A241},
ISSN = {0340-9422},
MRCLASS = {90C32 (00A15)},
MRNUMBER = {84c:90091},
}
@incollection {MR83e:90153,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Fractional programming---state of the art},
BOOKTITLE = {Operational research '81 (Hamburg, 1981)},
PAGES = {479--493},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1981},
MRCLASS = {90C32},
MRNUMBER = {83e:90153},
}
@article {Sc:77,
AUTHOR = {SCHAIBLE, S.},
TITLE = {A Note on the Sum of a Linear and a Linear-Fractional Function},
JOURNAL = {Naval Research Logistics Quarterly},
VOLUME = {24},
YEAR = {1977},
PAGES = {691--693},
}
@proceedings {MR83g:90075,
TITLE = {Generalized Concavity in Optimization and Economics},
BOOKTITLE = {Proceedings of the NATO Advanced Study Institute held at
the
University of British Columbia, Vancouver, B.C., August
4--15,
1980},
EDITOR = {SCHAIBLE, S. and ZIEMBA, W.T.},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich
Publishers]},
ADDRESS = {New York},
YEAR = {1981},
PAGES = {xiv+767},
ISBN = {0-12-621120-5},
}
@incollection {MR95g:90004,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Generalized monotonicity---a survey},
BOOKTITLE = {Generalized convexity (P\'ecs, 1992)},
PAGES = {229--249},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1994},
MRCLASS = {90-02 (47N10 49J40 90C33)},
MRNUMBER = {95g:90004},
MRREVR = {Michel Th{\'e}ra},
}
@book {MR89e:90155,
AUTHOR = {AVRIEL, M. and DIEWERT, W.E. and SCHAIBLE,
S. and ZANG, I.},
TITLE = {Generalized concavity},
PUBLISHER = {Plenum Press},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {x+332},
ISBN = {0-306-42656-0},
MRCLASS = {90C25 (26B25 90A10 90A11 90C32)},
MRNUMBER = {89e:90155},
MRREVR = {Jean-Pierre Crouzeix},
}
# The following strings from V. Balakrishnan on SDP and systems control
## were moved to top of file
@book{
Lya:47,
author={A.M. LYAPUNOV},
title={Probl\`eme g\'en\'eral de la stabilit\'e du mouvement},
publisher={Princeton University Press},
year={1947},
volume={17},
series={Annals of Mathematics Studies},
address= {Princeton}
}
@book{
Lur:57,
author={A.I. LUR'E},
title={Some Nonlinear Problems in the Theory of Automatic
Control},
publisher={H. M. Stationery Off.},
year={1957},
note={In Russian, 1951.},
address= {London}
}
@article{
Wil:71a,
author="J. C. WILLEMS",
title="Least Squares Stationary Optimal Control and the Algebraic
{R}iccati Equation",
journal=tac,
year=1971,
pages= "621-634",
volume="AC-16",
number=6,
month=dec
}
@article{
PyS:82,
author= {E. S. PYATNITSKII and V. I. SKORODINSKII},
title= {Numerical Methods of {L}yapunov Function Construction and Their
Application to the Absolute Stability Problem},
journal= scl,
year= {1982},
volume= {2},
number= {2},
pages= {130-135},
month= aug
}
@article{
HoB:76,
author= {H. P. HORISBERGER and P. R. B\'ELANGER},
title= {Regulators for Linear, Time Invariant Plants with Uncertain Parameters},
journal= tac,
year= {1976},
volume= {AC-21},
pages= {705-708}
}
@BOOK{Vid:93,
author = {M. VIDYASAGAR},
year = 1993,
title = {Nonlinear Systems Analysis},
edition = {second},
publisher = {Prentice-Hall},
address = {Englewood Cliffs}
}
@book{
DeV:75,
author= {C.A. DESOER and M. VIDYASAGAR},
title= {Feedback Systems: {I}nput-Output Properties},
publisher= {Academic Press},
address= {New York},
year= {1975},
}
# Now from Jon lee
@article {Pad:89,
AUTHOR = {PADBERG, M. W.},
TITLE = {The {B}oolean quadric polytope: {S}ome characteristics, facets
and relatives},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {Ser. B, 45},
YEAR = {1989},
NUMBER = {1},
PAGES = {139--172},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@incollection {AFLW:96,
AUTHOR = {K.M. ANSTREICHER and FAMPA, M. and LEE, J. and
WILLIAMS, J.},
TITLE = {Continuous relaxations for constrained maximum-entropy
sampling},
BOOKTITLE = {Integer Programming and Combinatorial Optimization (Vancouver,
BC, 1996)},
editor = {W.H. Cunningham and T. McCormick and M. Queyranne},
PAGES = {234--248},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {1084},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1996},
}
@article {AFLW:97,
AUTHOR = {K.M. ANSTREICHER and FAMPA, M. and LEE, J. and
WILLIAMS, J.},
title = {Using continuous nonlinear relaxations to
solve constrained maximum-entropy sampling problems},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {Ser. A, 85},
YEAR = {1999},
NUMBER = {2},
PAGES = {221-240},
}
@article {KLQ:95,
AUTHOR = {KO, C.-W. and LEE, J. and QUEYRANNE, M.},
TITLE = {An exact algorithm for maximum entropy sampling},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research. The Journal of the Operations Research
Society of America},
VOLUME = {43},
YEAR = {1995},
NUMBER = {4},
PAGES = {684--691},
ISSN = {0030-364X},
CODEN = {OPREAI},
}
@article {Lee:98,
AUTHOR = {LEE, J.},
TITLE = {Constrained maximum-entropy sampling},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research. The Journal of the Operations Research
Society of America},
VOLUME = {46},
pages = "655-664",
YEAR = {1998},
}
@incollection {KLW:98,
AUTHOR = {KO, C.-W. and LEE, J. and WAYNE, K.},
title = {A spectral bound for {D}-optimality},
BOOKTITLE = {MODA 5 - Advances in Model-Oriented Data
Analysis and Experimental Design (Marseilles, 1998)},
SERIES = {Contributions to Statistics},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
year = {1998},
editor = {A.C. Atkinson and L. Pronzato and H.P. Wynn},
}
@article {Wel:82b,
AUTHOR = {WELCH, W.J.},
TITLE = {Branch-and-bound search for experimental designs based on
{D}-optimality and other criteria},
JOURNAL = {Technometrics},
FJOURNAL = {Technometrics. A Journal of Statistics for the Physical,
Chemical and Engineering Sciences},
VOLUME = {24},
YEAR = {1982},
NUMBER = {1},
PAGES = {41--48},
ISSN = {0040-1706},
CODEN = {TCMTA2},
}
@article {Wel:82a,
AUTHOR = {WELCH, W.J.},
TITLE = {Algorithmic complexity: {T}hree {N}{P}-hard problems in
computational statistics},
JOURNAL = {J. Statist. Comput. Simulation},
FJOURNAL = {Journal of Statistical Computation and Simulation},
VOLUME = {15},
YEAR = {1982},
NUMBER = {1},
PAGES = {17--25},
ISSN = {0094-9655},
CODEN = {JSCSAT},
}
%%% from F. Jarre - start
@incollection{so85,
AUTHOR = "G.\ SONNEVEND",
TITLE = "An {`analytical centre'} for polyhedrons and new classes of
global algorithms for linear {(smooth, convex)} programming",
BOOKTITLE = "System Modelling and Optimization",
NOTE = "Lecture Notes in Control and Information Sciences No. 84",
PUBLISHER = "Springer",
ADDRESS = "Berlin",
YEAR = "1986",
PAGES = "866--875",
}
@techreport{utl,
AUTHOR = " URBAN, T. and TITS, A.L. and LAWRENCE, C.T. ",
TITLE = "A primal-dual interior-point method for nonconvex optimization
with multiple logarithmic barrier parameters and with strong
convergence properties",
TYPE = "Report",
INSTITUTION = "University of Maryland",
ADDRESS = "College Park",
YEAR = "1998",
}
@techreport{vs,
AUTHOR = "R.J.\ Vanderbei and D.F.\ SHANNO",
TITLE = "An interior point algorithm for nonconvex nonlinear programming",
TYPE = "Report",
NUMBER = "SOR-97-21",
INSTITUTION = "Dept.\ of Statistics and OR, Princeton University",
YEAR = "1997",
}
#%%% from F. Jarre - end
# some from Serge
@book {MR95i:90003, AUTHOR = {Nazareth, J. L.}, TITLE = {The {N}ewton-{C}auchy framework}, NOTE = {A unified approach to unconstrained nonlinear minimization},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {769},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {xii+101},
ISBN = {3-540-57671-1},
}
@article {MR2093387,
AUTHOR = {OBUCHOWSKA, WIES{\L}AWA T.},
TITLE = {Remarks on the analytic centers of convex sets},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {29},
YEAR = {2004},
NUMBER = {1},
PAGES = {60--90},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {52A41 (90C25 90C30)},
MRNUMBER = {MR2093387},
}
@article {MR2031625,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {On the minimizing trajectory of convex functions with
unbounded level sets},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {27},
YEAR = {2004},
NUMBER = {1},
PAGES = {37--52},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C25},
MRNUMBER = {MR2031625 (2004m:90114)},
}
@incollection {MR1482247,
AUTHOR = {Caron, R.J. and Boneh, A. and Boneh, S.},
TITLE = {Redundancy},
BOOKTITLE = {Advances in sensitivity analysis and parametric
programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {6},
PAGES = {13.1--13.41},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1997},
MRCLASS = {90C08 (90C15)},
MRNUMBER = {1482247 (98k:90058)},
}
@article {MR95j:90054,
AUTHOR = {OBUCHOWSKA, W.T. and Caron, R.J.},
TITLE = {Minimal representation of quadratically constrained convex
feasible regions},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {68},
YEAR = {1995},
NUMBER = {2, Ser. A},
PAGES = {169--186},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@article {MR1761152,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Minimal representation of convex regions defined by analytic
functions},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {246},
YEAR = {2000},
NUMBER = {1},
PAGES = {100--121},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90Cxx (52A41)},
MRNUMBER = {1 761 152},
}
@article {MR2000f:90049,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Convex constrained programmes with unattained infima},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {234},
YEAR = {1999},
NUMBER = {2},
PAGES = {675--694},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C25 (52A41)},
MRNUMBER = {2000f:90049},
MRREVR = {Jean-Pierre Crouzeix},
}
@article {MR2000e:90083,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {On infeasibility of systems of convex analytic inequalities},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {234},
YEAR = {1999},
NUMBER = {1},
PAGES = {223--245},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C31 (90C08 90C25)},
MRNUMBER = {2000e:90083},
MRREVR = {Henry Wolkowicz},
}
@article {MR99i:90098,
AUTHOR = {ISAC, G. and OBUCHOWSKA, W.T.},
TITLE = {Functions without exceptional family of elements and
complementarity problems},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {99},
YEAR = {1998},
NUMBER = {1},
PAGES = {147--163},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C33},
MRNUMBER = {99i:90098},
MRREVR = {Siegfried Schaible},
}
@article {MR97c:90111,
AUTHOR = {OBUCHOWSKA, W.T. and Caron, R.J.},
TITLE = {Improving the rate of convergence of the logarithmic barrier
function method},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {35},
YEAR = {1995},
NUMBER = {4},
PAGES = {317--332},
ISSN = {0233-1934},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {97c:90111},
}
@article {MR85d:90073,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Certain relations between the global and the conditional
extremum in convex programming},
JOURNAL = {Przeglpolhk ad Statyst.},
FJOURNAL = {Polska Akademia Nauk. Komitet Statystyki i Ekonometrii.
Przeglpolhk ad Statystyczny},
VOLUME = {29},
YEAR = {1982},
NUMBER = {1-2},
PAGES = {231--238 (1983)},
ISSN = {0033-2372},
CODEN = {PZSTAD},
MRCLASS = {90C25},
MRNUMBER = {85d:90073},
}
@article {MR84h:62093,
AUTHOR = {OBUCHOWSKA, WIES{\L}AWA},
TITLE = {Some properties of a correlation matrix which is majorized and
minorized by a neutral matrix},
JOURNAL = {Przeglpolhk ad Statyst.},
FJOURNAL = {Polska Akademia Nauk. Komitet Statystyki i Ekonometrii.
Przeglpolhk ad Statystyczny},
VOLUME = {27},
YEAR = {1980},
NUMBER = {3-4},
PAGES = {271--278 (1982)},
ISSN = {0033-2372},
CODEN = {PZSTAD},
MRCLASS = {62H20 (62H05)},
MRNUMBER = {84h:62093},
MRREVR = {M. Hu{\v{s}}kov{\'a}},
}
@book {MR56:17985,
AUTHOR = {Jacobson, David H.},
TITLE = {Extensions of linear-quadratic control, optimization
and matrix theory},
NOTE = {Mathematics in Science and Engineering, Vol. 133},
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich
Publishers]},
ADDRESS = {London},
YEAR = 1977,
PAGES = {x+217},
}
@book {MR2515104,
AUTHOR = {Dontchev, Asen L. and Rockafellar, R. Tyrrell},
TITLE = {Implicit functions and solution mappings},
SERIES = {Springer Monographs in Mathematics},
NOTE = {A view from variational analysis},
PUBLISHER = {Springer},
ADDRESS = {Dordrecht},
YEAR = {2009},
PAGES = {xii+375},
ISBN = {978-0-387-87820-1},
MRCLASS = {49J53 (26B10 47J30 47N10 49K40 58C15 90C31)},
MRNUMBER = {2515104 (2010g:49027)},
MRREVIEWER = {Stephen M. Robinson},
DOI = {10.1007/978-0-387-87821-8},
URL = {http://dx.doi.org/10.1007/978-0-387-87821-8},
}
@article {MR88e:49045,
AUTHOR = {Rockafellar, R. T.},
TITLE = {Linear-quadratic programming and optimal control},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {Society for Industrial and Applied
Mathematics. Journal on Control and Optimization},
VOLUME = 25,
YEAR = 1987,
NUMBER = 3,
PAGES = {781--814},
ISSN = {0363-0129},
CODEN = {SJCODC},
}
@incollection {MR91j:93083,
AUTHOR = {Rapoport, L. B.},
TITLE = {Positive definiteness of a quadratic form under
quadratic constraints and absolute stability of
nonlinear control systems},
BOOKTITLE = {Qualitative theory of differential equations
(Szeged, 1988)},
PAGES = {567--576},
SERIES = {Colloq. Math. Soc. J\'anos Bolyai},
VOLUME = 53,
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = 1990,
}
@article {MR97d:90069,
AUTHOR = {Preisig, J. C.},
TITLE = {Copositivity and the minimization of quadratic
functions with nonnegativity and quadratic equality
constraints},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {SIAM Journal on Control and Optimization},
VOLUME = 34,
YEAR = 1996,
NUMBER = 4,
PAGES = {1135--1150},
ISSN = {0363-0129},
CODEN = {SJCODE},
}
@article {MR96m:49066,
AUTHOR = {Matveev, A.S.},
TITLE = {Lagrangian duality in the theory of nonconvex
optimization, and modifications of the
{T}oeplitz-{H}ausdorff theorem},
JOURNAL = {Algebra i Analiz},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
VOLUME = 7,
YEAR = 1995,
NUMBER = 5,
PAGES = {143--181},
ISSN = {0234-0852},
}
@Article{Park:1988:RNG,
author = "Stephen K. Park and Keith W. Miller",
title = "Random Number Generators: Good Ones are Hard to Find",
journal = "Communications of the ACM",
volume = "31",
number = "10",
pages = "1192--1201",
month = oct,
year = "1988",
coden = "CACMA2",
ISSN = "0001-0782",
mrclass = "65C10 (11K45)",
mrnumber = "91h:65012",
bibdate = "Sat Apr 06 08:06:30 1996",
url = "http://www.acm.org/pubs/toc/Abstracts/0001-0782/63042.html",
acknowledgement = ack-nhfb,
annote = "Practical and theoretical issues are presented
concerning the design, implementation, and use of a
good, minimal standard random number generator that
will port to virtually all systems.",
country = "USA",
descriptors = "Random number; random number testing; Pseudo-random
generator",
keywords = "algorithms; design; performance; standardization;
theory",
language = "English",
references = "47",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Random number generation. {\bf D.2.0}:
Software, SOFTWARE ENGINEERING, General, Standards.
{\bf K.6.2}: Computing Milieux, MANAGEMENT OF COMPUTING
AND INFORMATION SYSTEMS, Installation Management.",
}
@Article{BlBlSh86,
author = "M. Blum and L. Blum and M. Shub",
title = "A simple and secure pseudo-random number generator",
journal = "SIAM Journal on Computing",
year = "1986",
pages = "364--383",
volume = "15",
note = "Two pseudo-random sequence generators are presented
which, from small seeds, generate long well-distributed
sequences. The first, $1/P$ generator, is completely
predictable from a small segment of its output. The
second, $x^2 \pmod N$ generator, is {\it
cryptographically secure} as its sequence is
polynomial-time unpredictable (if quadratic residuacity
problem is indeed hard).",
}
@Article{BlMi84,
author = "M. Blum and S. Micali",
title = "How to generate cryptographically strong sequence of
pseudo-random bits",
journal = "SIAM Journal on Computing",
year = "1984",
pages = "850--864",
volume = "13",
note = "This paper introduces the notion of cryptographically
secure pseudo-random number generator.",
}
@Article{Marsaglia93,
author = "G. Marsaglia",
title = "Remarks on choosing and implementing random number
generators.",
journal = "Comm. A.C.M.",
volume = "36",
number = "7",
pages = "105--110",
month = jul,
year = "1993",
keywords = "random number generator, RNG, pseudo PRNG",
abstract = "via enews",
}
@article {MR52:5711,
AUTHOR = {MARSAGLIA, G. and STYAN, G.P.H.},
TITLE = {Equalities and inequalities for ranks of matrices},
JOURNAL = {Linear and Multilinear Algebra},
VOLUME = {2},
YEAR = {1974/75},
PAGES = {269--292},
MRCLASS = {15A45},
MRNUMBER = {52 \#5711},
MRREVIEWER = {A. R. Amir-Moez},
}
@article {MR52:5699,
AUTHOR = {Marsaglia, George and Styan, George P. H.},
TITLE = {Rank conditions for generalized inverses of partitioned
matrices},
JOURNAL = {Sankhy\=a Ser. A},
VOLUME = {36},
YEAR = {1974},
NUMBER = {4},
PAGES = {437--442},
MRCLASS = {15A09},
MRNUMBER = {52 \#5699},
MRREVIEWER = {Thomas L. Boullion},
}
@article {MR47:236,
AUTHOR = {Marsaglia, G. and Styan, G. P. H.},
TITLE = {When does ${\rm rank}\ ({A}+{B})={\rm rank}({A})+{\rm
rank}({B})$?},
JOURNAL = {Canad. Math. Bull.},
VOLUME = {15},
YEAR = {1972},
PAGES = {451--452},
MRCLASS = {15A03},
MRNUMBER = {47 \#236},
MRREVIEWER = {A. R. Amir-Moez},
}
@Article{Mitchell93a,
author = "Mitchell",
title = "A Nonlinear Random Number Generator with Known, Long
Cycle Length",
journal = "CRYPTOLOGIA: Cryptologia",
volume = "17",
year = "1993",
}
@proceedings {MR97k:94002,
TITLE = {Advances in cryptology---{C}{R}{Y}{P}{T}{O} '95},
BOOKTITLE = {Proceedings of the 15th Annual International Cryptology
Conference held at the University of California, Santa Barbara,
CA, August 27--31, 1995},
EDITOR = {Coppersmith, Don},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {963},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1995},
PAGES = {xii+467},
ISBN = {3-540-60221-6},
}
@incollection {MR91d:68051,
AUTHOR = {Micali, S. and Schnorr, C.-P.},
TITLE = {Efficient, perfect random number generators},
BOOKTITLE = {Advances in cryptology---CRYPTO '88 (Santa Barbara, CA, 1988)},
PAGES = {173--198},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {403},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1990},
}
@incollection {MR85i:94017,
AUTHOR = {Sloane, N. J. A.},
TITLE = {Encrypting by random rotations},
BOOKTITLE = {Cryptography (Burg Feuerstein, 1982)},
PAGES = {71--128},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {149},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1983},
}
@article {MR90g:94015,
AUTHOR = {Matthews, Robert},
TITLE = {On the derivation of a ``chaotic'' encryption algorithm},
JOURNAL = {Cryptologia},
FJOURNAL = {Cryptologia},
VOLUME = {13},
YEAR = {1989},
NUMBER = {1},
PAGES = {29--42},
ISSN = {0161-1194},
}
@article {MR92b:94035,
AUTHOR = {Ritter, Terry},
TITLE = {The efficient generation of cryptographic confusion sequences},
JOURNAL = {Cryptologia},
FJOURNAL = {Cryptologia},
VOLUME = {15},
YEAR = {1991},
NUMBER = {2},
PAGES = {81--139},
ISSN = {0161-1194},
}
@Book{knut:81,
author = "D. E. Knuth",
year = "1981",
title = "The Art of Computer Programming {II}: Seminumerical
Algorithms",
edition = "Second",
publisher = "Addison--Wesley",
address = "Reading, Massachusetts",
kwds = "cs, na, book, random numbers, computer arithmetic",
}
@InProceedings{Plumstead83b,
oldtag = "Plumstead83",
author = "Joan B. Plumstead",
title = "Inferring a Sequence Produced by a Linear Congruence",
pages = "317--319",
booktitle = "Proc.\ CRYPTO 82",
editor = "R. L. Rivest and A. Sherman and D. Chaum",
publisher = "Plenum Press",
address = "New York",
year = "1983",
comment = "Abstract of the FOCS '82 paper",
}
@Article{Shamir83,
author = "A. Shamir",
title = "On the Generation of Cryptographically Strong
Pseudorandom Sequences",
journal = "ACM Trans. on Computer Sys.",
volume = "1",
number = "1",
pages = "38",
month = feb,
year = "1983",
keywords = "TOCS",
}
@InCollection{KnuYao76,
author = "Knuth and Yao",
title = "The Complexity of Nonuniform Random Number
Generation",
booktitle = "Algorithms and Complexity: New Directions and Recent
Results, Ed. J. F. Traub, Academic Press",
year = "1976",
}
@incollection {MR780384,
AUTHOR = {Yao, Andrew C.},
TITLE = {Theory and applications of trapdoor functions},
BOOKTITLE = {23rd annual symposium on foundations of computer science
(Chicago, Ill., 1982)},
PAGES = {80--91},
PUBLISHER = {IEEE},
ADDRESS = {New York},
YEAR = {1982},
}
@TechReport{BeYeZh:98,
author = {Benson, S. J. and Ye, Y. and Zhang, X.},
title = {Solving Large-Scale Semidefinite Programs for Combinatorial Optimization},
institution = {University of Iowa},
year = {1998},
month = {May},
}
@TechReport{MoTs:98,
author = {Monteiro, R and Tsuchiya T},
title = {Polynomial Convergence of a New Family of Primal-Dual Algorithms for Semidefinite Programming},
institution = {Georgia Institute of Technology},
year = {1998},
month = {January},
}
@BOOK{Vid:93,
author = {M. Vidyasagar},
year = 1993,
title = {Nonlinear Systems Analysis},
edition = {second},
publisher = {Prentice-Hall},
address = {Englewood Cliffs}
}
@ARTICLE{GAC:96,
author = {P. GAHINET and P. APKARIAN and M. CHILALI},
month = mar,
year = 1996,
title = {Affine Parameter-Dependent {L}yapunov Functions for Real Parameter
Uncertainty},
journal = tac,
volume = 41,
number = 3,
pages = {436-442}
}
@article{AGB:95,
author={P. APKARIAN and P. GAHINET and G. BECKER},
title={Self-Scheduled {${\cal H}_{\infty}$} Control of Linear
Parameter-Varying Systems: A Design Example},
journal=aut,
mon=sep,
year=1995,
volume=31,
number=9,
pages={1251-1261}
}
@phdthesis{Bec:93,
author= {G. BECKER},
title= { Quadratic Stability and Performance
of Linear Parameter Dependent Systems},
school= {University of California, Berkeley},
year= {1993}
}
@ARTICLE{YuS:97,
author = {{J. YU and A. SIDERIS}},
year = 1997,
title = {{$H_\infty$ control with parametric {L}yapunov functions}},
journal = scl,
volume = 30,
pages = {57-69}
}
@ARTICLE{ElS:96,
author = {L.~EL~GHAOUI and G. SCORLETTI},
month = sep,
year = 1996,
title = {Control of Rational Systems using {L}inear-{F}ractional
{R}epresentations and {L}inear {M}atrix {I}nequalities},
journal = {Automatica},
volume = 32,
number = 9
}
@phdthesis{You:93,
author={P. M. Young},
title= {{R}obustness with {P}arametric and
{D}ynamic {U}ncertainty},
school={California Institute of Technology},
year={1993},
address={Pasadena, CA 91125},
month=may
}
@article{
Pac:94,
author={A. PACKARD},
title={Gain Scheduling via Linear Fractional Transformations},
journal=scl,
volume = {22},
pages={79-92},
year={1994}
}
@manual{mutools,
author= {G. BALAS and J. C. DOYLE and K. GLOVER and A. PACKARD
and R. SMITH},
title= {$\mu$-analysis and synthesis},
organization= {MUSYN, inc., and The Mathworks, Inc.},
year= {1991}
}
@ARTICLE{MeR:97,
author = {A. MEGRETSKI and A. RANTZER},
month = Jun,
year = 1997,
title = {System Analysis via Integral Quadratic Constraints},
journal = tac,
volume = {42},
number = {6},
pages = {819-830},
}
@article {ElGhaoui03,
AUTHOR = {El Ghaoui, L. and Oks, M. and Oustry, F.},
TITLE = {Worst-case value-at-risk and robust portfolio
optimization: a
conic programming approach},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research},
VOLUME = {51},
YEAR = {2003},
NUMBER = {4},
PAGES = {543--556},
ISSN = {0030-364X},
CODEN = {OPREAI},
MRCLASS = {91B28 (90C15)},
MRNUMBER = {1991970},
DOI = {10.1287/opre.51.4.543.16101},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/opre.51.4.543.16101},
}
@article {Ghaoui1997,
AUTHOR = {El Ghaoui, L. and Lebret, H.},
TITLE = {Robust solutions to least-squares problems with uncertain
data},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {18},
YEAR = {1997},
NUMBER = {4},
PAGES = {1035--1064},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F20 (15A06)},
MRNUMBER = {1472008 (99c:65075)},
MRREVIEWER = {Ching-Tsuan Pan},
DOI = {10.1137/S0895479896298130},
URL = {http://dx.doi.org/10.1137/S0895479896298130},
}
@inproceedings{EBFB:92,
author={L. {El~Ghaoui} and V. Balakrishnan and E. Feron and S. Boyd},
title={On Maximizing a Robustness Measure for Structured Nonlinear
Perturbations},
booktitle=acc,
year={1992},
pages={2923-2924},
volume = {4},
address={Chicago},
month=jun
}
@ARTICLE{Bal:95,
author = {V. Balakrishnan},
year = 1995,
title = {Linear Matrix Inequalities in Robustness Analysis with Multipliers},
journal = scl,
volume = 25,
number = 4,
pages = {265-272}
}
@techreport{CTB1:97,
author={Y.S. CHOU and A.L. TITS and V. Balakrishnan},
title= {Absolute Stability
Theory, Theory, and State-Space Verification of Frequency-Domain
Conditions: Connections and Implications for
Computation},
institution={Institute for Systems Research, University of
Maryland},
number = {TR 97-23},
note = {Accepted for publication in {\it IEEE Trans.\ Aut.\
Control}, 1998.},
year=1997
}
@article{ShA:90,
author={J. S. SHAMMA and M. ATHANS},
title={Analysis of Gain Scheduled Control for Nonlinear Plants},
journal=tac,
number = 8,
volume=35,
pages = {898-907},
year = 1990,
month = Aug
}
@article{ShA:92,
author={J. S. SHAMMA and M. ATHANS},
title={Gain Scheduling: Potential Hazards and Possible Remedies},
journal= csm,
pages = {101-107},
year = {1992},
month = "June"
}
@article{
WYPB:94,
author={F. WU and X. H. YANG and A. PACKARD and G. BECKER},
title={Induced {${\bf L}_2$}-Norm Control for {LPV} System
with Bounded Parameter Variation Rates},
journal=ijrnc,
month=dec,
year=1994,
}
@article{
AG:95,
author={P. APKARIAN and P. GAHINET},
title={A Convex Characterization of Gain-Scheduled
{${\cal H}_{\infty}$} Controllers},
journal=tac,
volume={AC-40},
number=5,
pages={853-864},
mon=may,
year=1995
}
@manual{
Kmtools,
author= {R. CHIANG and M.G. SAFONOV},
title= {Robust Control Toolbox},
organization= {The Mathworks, Inc.},
year= {1992}
}
@article{
FTD:91,
author={M.K. H. FAN and A.L. TITS and J.C. DOYLE},
title={Robustness in the presence of mixed parametric
uncertainty and unmodeled dynamics},
journal=tac,
year={1991},
volume={AC-36},
number={1},
pages={25-38},
month=jan
}
@book{ Wu:95,
author={F. WU},
title={Control of Linear Parameter Varying Systems},
publisher={Engineering-Mechanical Eng.\ Dept., University of California
Berkeley},
series={Doctoral Dissertation},
year={1995}
}
@ARTICLE{FAG:96,
author = {E. Feron, P. APKARIAN and P. GAHINET},
month = jul,
year = 1996,
title = {Analysis and Synthesis of Robust Control Systems via
Parameter-Dependent {L}yapunov Functions},
journal = tac,
volume = 41,
number = 7,
pages = {1041-1046}
}
@incollection{
SaC:93,
author="M.G. SAFONOV and R. Y. CHIANG",
title="Real/Complex {$K_m$}-Synthesis without Curve Fitting",
booktitle="Control and Dynamic Systems",
volume="56",
part="2",
pages="303--324",
editor="C. T. Leondes",
publisher="Academic Press",
address="New York",
year="1993",
}
@article{
Sch:96,
author= {C. SCHERER},
title= {Mixed {$H_2$/$H_\infty$} control for time-varying and
linear para\-metrically-varying systems},
journal= ijrnc,
year=1996,
volume = 6,
month = {Nov--Dec},
number = {9/10},
pages = {929-952}
}
@ARTICLE{GaA:94,
author = {P. GAHINET and P. APKARIAN},
year = 1994,
title = {A Linear Matrix Inequality Approach to ${H}^\infty$ Control},
journal = ijrnc,
volume = 4,
pages = {421-448},
note = {}
}
@BOOK{ZDG:96,
author = {{K. ZHOU with J. DOYLE} and K. GLOVER},
year = 1996,
title = {Robust and Optimal Control},
note = {},
publisher = {Prentice Hall}
}
@article{Ran:96,
author = {A. RANTZER},
title = {On the {Kalman}-{Yakubovich}-{Popov} {L}emma},
journal = scl,
year = 1996,
volume = 28,
number = 1,
pages = {7-10}
}
@article{ApA:98,
author = {P. APKARIAN and R.J. ADAMS},
title = {Advanced Gain-Scheduled Techniques for Uncertain Systems},
journal = tcst,
year = 1998,
month = jan,
volume = {6},
number = 1,
pages = {21-32}
}
@inproceedings{Sch:96a,
author = {C. SCHERER},
title = {Robust generalized ${H}_2$ control for uncertain and {LPV} systems with general scalings},
booktitle = cdc,
year = 1996,
month = dec,
address = { },
pages = {3970-3975}
}
@article{ChG:95,
author = {M. CHILALI and P. GAHINET},
title = {${H}_\infty$ design with pole placement constraints: An LMI approach},
journal = tac,
year = 1995,
month = mar,
volume = 40,
number = 3,
pages = {358-367}
}
@book{AnV:73,
author={B. ANDERSON and S. VONGPANITLERD},
title={Network analysis and synthesis:
a modern systems theory approach},
publisher={Prentice-Hall},
year={1973}
}
@book{
GrL:95,
author={M. GREEN and D. J. N. LIMEBEER},
title={Linear Robust Control},
publisher={Prentice Hall},
year={1995},
notes={},
volume={},
series={Information and System sciences},
address={Englewood Cliffs, NJ},
edition={},
month={}
}
@article{
Yak:62,
author={V.A. YAKUBOVICH},
title={The solution of certain matrix inequalities in automatic control
theory},
journal={Soviet Math. Dokl.},
year={1962},
note={In Russian, 1961.},
volume={3},
pages={620-623}
}
@article{
Yak:64,
author={V.A. YAKUBOVICH},
title={Solution of certain matrix inequalities
encountered in nonlinear control
theory},
journal={Soviet Math. Dokl.},
year={1964},
volume={5},
pages={652-656}
}
@article{
Kal:63,
author= {R.E. KALMAN},
title= { {L}yapunov Functions for the Problem of {L}ur'e in Automatic Control},
journal= {Proc. Nat. Acad. Sci., USA},
volume= {49},
pages= {201-205},
year= {1963}
}
@inproceedings{
Kal:63a,
author= {R.E. KALMAN},
title= {On a New Characterization of Linear Passive Systems},
booktitle= { Proc. First Annual Allerton Conf. on Communication,
Control and Computing},
pages= {456-470},
year= {1963}
}
@article{
Doy:82,
author= {J. DOYLE},
title= {Analysis of Feedback Systems with Structured Uncertainties},
journal= ieep,
volume= {129-D},
number= {6},
year= {1982},
pages= {242-250},
month= nov
}
@article{
Saf:82,
author= {M.G. SAFONOV},
title= {Stability margins of diagonally perturbed
multivariable feedback systems},
journal= ieep,
volume= {129-D},
number= {6},
year= {1982},
month= nov,
pages= {251-256}
}
# Gauss-Seidel related papers follow
@article {MR2001a:90061,
AUTHOR = {GRIPPO, L. and SCIANDRONE, M.},
TITLE = {On the convergence of the block nonlinear {G}auss-{S}eidel
method under convex constraints},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {26},
YEAR = {2000},
NUMBER = {3},
PAGES = {127--136},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {2001a:90061},
MRREVIEWER = {Zun Quan Xia},
}
@article {MR2001a:65118,
AUTHOR = {KORSAWE, J. and STARKE, G.},
TITLE = {Multilevel projection methods for nonlinear least-squares
finite element computations},
NOTE = {Multilevel methods (Copper Mountain, CO, 1999)},
JOURNAL = {Electron. Trans. Numer. Anal.},
FJOURNAL = {Electronic Transactions on Numerical Analysis},
VOLUME = {10},
YEAR = {2000},
PAGES = {56--73 (electronic)},
ISSN = {1068-9613},
MRCLASS = {65M60 (65M55)},
MRNUMBER = {2001a:65118},
}
@book {MR1931309,
AUTHOR = {Auslender, A. and Teboulle, M.},
TITLE = {Asymptotic cones and functions in optimization and
variational
inequalities},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2003},
PAGES = {xii+249},
ISBN = {0-387-95520-8},
MRCLASS = {49-02 (49J53 49K40 90C46)},
MRNUMBER = {MR1931309 (2003i:49002)},
MRREVIEWER = {Constantin Z{\u{a}}linescu},
}
@incollection {MR2000m:90027,
AUTHOR = {AUSLENDER, A. and TEBOULLE, M. and BEN-TIBA, S.},
TITLE = {Coupling the logarithmic-quadratic proximal method and the
block nonlinear {G}auss-{S}eidel algorithm for linearly
constrained convex minimization},
BOOKTITLE = {Ill-posed variational problems and regularization
techniques
(Trier, 1998)},
SERIES = {Lecture Notes in Econom. and Math. Systems},
VOLUME = {477},
PAGES = {35--47},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1999},
MRCLASS = {90C25 (90C08)},
MRNUMBER = {2000m:90027},
MRREVIEWER = {K. Zimmermann},
}
@article {MR99e:65049,
AUTHOR = {BAI, Z.Z},
TITLE = {Asynchronous parallel nonlinear symmetric {G}auss-{S}eidel
iteration methods},
JOURNAL = {Math. Numer. Sin.},
FJOURNAL = {Mathematica Numerica Sinica. Jisuan Shuxue},
VOLUME = {20},
YEAR = {1998},
NUMBER = {2},
PAGES = {187--200},
ISSN = {0254-7791},
MRCLASS = {65F10},
MRNUMBER = {99e:65049},
}
#################################start student papers##################
@inproceedings{chKruklip:02a,
AUTHOR = "E. CHENG and S. KRUK and M. LIPMAN",
TITLE = "Flow Formulations for the Student Scheduling Problem",
bookTITLE = " Proceedings of the 4th international conference on the
Practice and Theory of Automated Timetabling",
publisher = "-",
NUMBER = "298-308",
YEAR = "2002",
}
@article{chKruklip:02b,
AUTHOR = "E. CHENG and S. KRUK and M. LIPMAN",
title="An Optimization Formulation for the existence of Complete
Spheres-of-Influence graphs",
journal="Congressus Numerantium",
year="2002",
}
@TECHREPORT {DrorKruk:02,
author = "M. DROR and S. KRUK",
title = "Semidefinite Models of Centralized Inventory",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
year = "2002",
number = "2002-3"}
@TECHREPORT {BausKruk:02,
author = "H. BAUSCHKE and S. KRUK",
title = "The method of reflection-projection for convex
feasibility problems with an obtuse cone",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
note = "to appear in JOTA",
year = "2002",
number = "2002-4"}
@TECHREPORT {BausCombKruk:02,
author = "H. BAUSCHKE and P.L. COMBETTES and S. KRUK",
title = "Solving large, sparse linear programs
using projections",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
note = "to appear in JOTA",
year = "2002",
number = "2002-6"}
#################################end student papers##################
#################################procrustes references##################
@article {MR2003f:65114,
AUTHOR = {Del Buono, N. and Lopez, L.},
TITLE = {Geometric integration on manifold of square oblique
rotation
matrices},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {23},
YEAR = {2002},
NUMBER = {4},
PAGES = {974--989 (electronic)},
ISSN = {1095-7162},
MRCLASS = {65L05 (34A34 34C40 37M99 65F99)},
MRNUMBER = {2003f:65114},
}
@article {MR2003b:90071,
AUTHOR = {Trendafilov, Nickolay T. and Lippert, Ross A.},
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JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {349},
YEAR = {2002},
PAGES = {245--264},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C25 (65K10)},
MRNUMBER = {2003b:90071},
}
@article {MR95f:65072,
AUTHOR = {Watson, G. A.},
TITLE = {The solution of orthogonal {P}rocrustes problems for a
family
of orthogonally invariant norms},
JOURNAL = {Adv. Comput. Math.},
FJOURNAL = {Advances in Computational Mathematics},
VOLUME = {2},
YEAR = {1994},
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ISSN = {1019-7168},
MRCLASS = {65F10 (65F25)},
MRNUMBER = {95f:65072},
MRREVIEWER = {Hongyuan Zha},
}
@article {MR93e:62140,
AUTHOR = {Kiers, Henk A. L. and ten Berge, Jos M. F.},
TITLE = {Minimization of a class of matrix trace functions by means
of
refined majorization},
JOURNAL = {Psychometrika},
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CODEN = {PSYKA2},
MRCLASS = {62H05 (62P15)},
MRNUMBER = {93e:62140},
}
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CODEN = {SJMAEL},
MRCLASS = {65F20 (15A18)},
MRNUMBER = {93g:65055},
MRREVIEWER = {Zden{\v{e}}k Strako{\v{s}}},
}
@article {MR89g:15016,
AUTHOR = {Shapiro, A. and Botha, J. D.},
TITLE = {Dual algorithms for orthogonal {P}rocrustes rotations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {9},
YEAR = {1988},
NUMBER = {3},
PAGES = {378--383},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A42 (15A15 93B60)},
MRNUMBER = {89g:15016},
MRREVIEWER = {M. M. Konstantinov},
}
#################################end procrustes references##################
#################################partial separability
@article {MR2089056,
AUTHOR = {ALTANGEREL, L. and BO{\c{T}}, R.I. and WANKA, G.},
TITLE = {Duality for convex partially separable optimization problems},
JOURNAL = {Mong. Math. J.},
FJOURNAL = {Mongolian Mathematical Journal},
VOLUME = {7},
YEAR = {2003},
PAGES = {1--18},
MRCLASS = {90C25 (90C46)},
MRNUMBER = {MR2089056 (2005d:90089)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR1480634,
AUTHOR = {Dayd{\'e}, M.J. and L'Excellent, J.Y. and Gould,
N.I.M.},
TITLE = {Element-by-element preconditioners for large partially
separable optimization problems},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {18},
YEAR = {1997},
NUMBER = {6},
PAGES = {1767--1787},
ISSN = {1064-8275},
CODEN = {SJOCE3},
MRCLASS = {90C30},
MRNUMBER = {MR1480634 (98j:90070)},
MRREVIEWER = {K. Schittkowski},
}
@incollection {MR1307166,
AUTHOR = {Conn, A.R. and Gould, N.I.M. and Toint, Ph.L.},
TITLE = {Improving the decomposition of partially separable functions
in the context of large-scale optimization: a first approach},
BOOKTITLE = {Large scale optimization (Gainesville, FL, 1993)},
PAGES = {82--94},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1994},
MRCLASS = {90C30 (90C25)},
MRNUMBER = {MR1307166},
}
@incollection {MR1282736,
AUTHOR = {Conn, A.R. and Gould, N.I.M. and Lescrenier, M. and Toint, Ph.L.},
TITLE = {Performance of a multifrontal scheme for partially separable
optimization},
BOOKTITLE = {Advances in optimization and numerical analysis (Oaxaca,
1992)},
SERIES = {Math. Appl.},
VOLUME = {275},
PAGES = {79--96},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1994},
MRCLASS = {90C30},
MRNUMBER = {MR1282736 (95a:90118)},
}
@article {MR1152480,
AUTHOR = {SCHMIDT, J.W.},
TITLE = {Dual algorithms for solving convex partially separable
optimization problems},
JOURNAL = {Jahresber. Deutsch. Math.-Verein.},
FJOURNAL = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
VOLUME = {94},
YEAR = {1992},
NUMBER = {1},
PAGES = {40--62},
ISSN = {0012-0456},
CODEN = {JDMVA7},
MRCLASS = {90C30 (41A15 49N15 65D07)},
MRNUMBER = {MR1152480 (93c:90084)},
MRREVIEWER = {Blagun Kalchev},
}
@techreport{GrattonGurolToint:11,
AUTHOR = "S. Gratton and S. Gurol Ph.L. Toint",
TITLE = "Preconditioning and Globalizing Conjugate Gradients in Dual
Space for Quadratically Penalized Nonlinear-Least Squares Problems",
TYPE = "Technical Report",
NUMBER = "NAXYS-10-2010",
INSTITUTION = "Namur Center for Complex Systems",
YEAR = "2010",
URL =
{http://www.optimization-online.org/DB_HTML/2010/12/2855.html},
}
@article {MR866412,
AUTHOR = {Toint, Ph.L.},
TITLE = {Global convergence of the partitioned {BFGS} algorithm for
convex partially separable optimization},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {36},
YEAR = {1986},
NUMBER = {3},
PAGES = {290--306},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C25 (65K05)},
MRNUMBER = {MR866412 (88a:90160)},
MRREVIEWER = {Pierre Loridan},
}
#################################end partial separability
#################################start from Forbes Burkowski
@article{Olszewskietal:00,
author = {K.A. Olszewski and L. Yan and D. Edwards and T. Yeh},
title = {From fold
recognition to homology modeling: an analysis of protein modeling
challenges at different levels of prediction complexity},
journal = {Computers and Chemistry},
year = "2000",
volume = {24},
number = {},
pages = {499-510}
}
@article{Shapovalovetal:11,
author = {M.S. Shapovalov and R.L. Dunbrack Jr},
title = {A smoothed backbone-dependent
rotamer library for proteins derived from adaptive kernel density
estimates and regressions},
journal = {Structure},
year = "2011",
volume = {19},
number = {},
pages = {844-858}
}
@article{Lovelletal:00,
author = {S.C. Lovell and J.M. Word and J.S. Richardson and D.C. Richardson},
title = {The Penultimate Rotamer Library},
journal = {Proteins: Structure Function and Genetics},
year = "2000",
volume = {40},
number = {},
pages = {389-408}
}
@article{Desmetetal:92,
author = {J. Desmet and M. de Maeyer and B. Hazes and I. Lasters},
title = {The dead-end elimination
theorem and its use in protein side-chain positioning},
journal = {Nature},
year = "1992",
volume = {356},
number = {},
pages = {539-542}
}
#################################end from Forbes Burkowski
%-----------------------------------------------------------
% Protein Data Bank
@article{Berman00theprotein,
author = {Berman, H.M. and Westbrook, J. and Feng, Z.
and Gilliland, G. and Bhat, T.N. and Weissig, H.
and Shindyalov, I.N. and Bourne, P.E.},
title = {The Protein Data Bank},
journal = {Nucleic Acids Res},
year = {2000},
volume = {28},
pages = {235--242},
url = {http://www.pdb.org}
}
@article{banner1976ato,
title={Atomic coordinates for triose phosphate isomerase from chicken muscle.},
author={Banner, D.W. and Bloomer, A. and Petsko, G.A. and
Phillips, D.C. and Wilson, I.A.},
journal={Biochem Biophys Res Commun},
volume={72},
number={1},
pages={146-55},
year={1976},
}
@article{Pettersen598414,
address = {Computer Graphics Laboratory, Department of Pharmaceutical Chemistry, University of California, 600 16th Street, San Francisco, California 94143-2240},
author = {Pettersen, E.F. and Goddard, T.D.
and Huang, C.C. and Couch, G.S. and Greenblatt, D.M.
and Meng, E.C. and Ferrin, T.E.},
doi = {10.1002/jcc.20084},
issn = {0192-8651},
journal = {Journal of computational chemistry},
keywords = {2read},
month = oct,
number = {13},
pages = {1605--1612},
pmid = {15264254},
posted-at = {2010-10-30 03:33:07},
priority = {2},
publisher = {John Wiley \& Sons, Inc.},
title = {{UCSF Chimera--a visualization system for exploratory research and analysis.}},
url = {http://dx.doi.org/10.1002/jcc.20084},
volume = {25},
year = {2004}
}
@article{Dunbrack341254,
author = {Dunbrack, Jr., R.L. and Karplus, M.},
doi = {10.1006/jmbi.1993.1170},
journal = {Journal of Molecular Biology},
keywords = {rotamers},
month = mar,
number = {2},
pages = {543--574},
posted-at = {2007-10-08 07:25:18},
priority = {2},
title = {Backbone-dependent Rotamer Library for Proteins Application to Side-chain Prediction},
url = {http://dx.doi.org/10.1006/jmbi.1993.1170},
volume = {230},
year = {1993}
}
@article{Cornell3740715,
author = {Cornell, W.D. and Cieplak, P. and Bayly, C.I.
and Gould, I.R. and Merz, Jr., K.M. and Ferguson, D.M.
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and Kollman, P.A.},
journal = {J. Am. Chem. Soc.},
keywords = {coletta, molecular\_dynamics, resp},
number = {19},
pages = {5179--5197},
posted-at = {2008-12-03 15:12:07},
priority = {2},
title = {A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules},
url = {http://pubs.acs.org/wls/journals/query/citationFindResults.html?op=findCitation\&\#38;cit\_qjrn=jacsat\&\#38;vol=117\&\#38;spn=5179\&\#38;mscid=\&\#38;submit.x=10\&\#38;submit.y=5\&\#38;submit=FIND},
volume = {117},
year = {1995}
}
@phdthesis{Kingsford:2005:CAP:1123937,
author = {Kingsford, C.L.},
advisor = {Singh, M.},
title = {Computational approaches to problems in protein structure and function},
year = {2005},
isbn = {0-542-30656-5},
note = {AAI3188669},
school = {Princeton University},
address = {Princeton, NJ, USA},
url={http://www.cbcb.umd.edu/~carlk/papers/carlk-puthesis.pd}
}
#####################added by Dima march/2014
@incollection{Floudas:2001aa,
Author = {Laurent, M.},
Booktitle = {Encyclopedia of Optimization},
Da = {2001/01/01},
Date-Added = {2014-02-27 18:53:49 -0500},
Date-Modified = {2014-02-27 19:00:43 -0500},
La = {English},
Pages = {1311-1319},
Publisher = {Springer US},
Se = {271},
Title = {Matrix completion problems},
Ty = {CHAP},
Year = {2001},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/0-306-48332-7_271},
Bdsk-Url-2 = {http://dx.doi.org/10.1007/0-306-48332-7%7B%5C_%7D271}}
@book{Netzer:2012aa,
Author = {Netzer, T.},
Date-Added = {2014-02-28 11:12:21 -0500},
Date-Modified = {2014-02-28 11:16:06 -0500},
Doi = {10.1.1.297.5105},
Publisher = {Habilitationsschrift, Universit{\"a}t Leipzig},
Title = {Spectrahedra and Their Shadows},
Year = {2012},
Bdsk-Url-1 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.297.5105}}
@article{MR3062007,
Author = {Gouveia, J. and Parrilo, P.A. and Thomas, R.R.},
Date-Added = {2014-02-28 10:55:17 -0500},
Date-Modified = {2014-02-28 10:55:41 -0500},
Doi = {10.1287/moor.1120.0575},
Fjournal = {Mathematics of Operations Research},
Issn = {0364-765X},
Journal = {Math. Oper. Res.},
Mrclass = {90C25 (52A20)},
Mrnumber = {3062007},
Mrreviewer = {Franz Rendl},
Number = {2},
Pages = {248--264},
Title = {Lifts of convex sets and cone factorizations},
Url = {http://dx.doi.org/10.1287/moor.1120.0575},
Volume = {38},
Year = {2013},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=3062007}}
@article{MR2515796,
Author = {Helton, J.W. and Nie, J.},
Date-Added = {2014-02-28 11:04:52 -0500},
Date-Modified = {2014-02-28 11:07:38 -0500},
Doi = {10.1137/07070526X},
Fjournal = {SIAM Journal on Optimization},
Issn = {1052-6234},
Journal = {SIAM J. Optim.},
Mrclass = {14P10 (14P25 52A99 65K10 90C22 90C25 90C60)},
Mrnumber = {2515796 (2010i:14105)},
Mrreviewer = {Aris Daniilidis},
Number = {2},
Pages = {759--791},
Title = {Sufficient and necessary conditions for semidefinite representability of convex hulls and sets},
Url = {http://dx.doi.org/10.1137/07070526X},
Volume = {20},
Year = {2009},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=2515796}}
@article{MR2533752,
Author = {Helton, J.W. and Nie, J.},
Date-Added = {2014-02-28 11:04:53 -0500},
Date-Modified = {2014-02-28 11:07:29 -0500},
Doi = {10.1007/s10107-008-0240-y},
Fjournal = {Mathematical Programming. A Publication of the Mathematical Programming Society},
Issn = {0025-5610},
Journal = {Math. Program.},
Mrclass = {90C22 (90C25)},
Mrnumber = {2533752 (2010j:90103)},
Mrreviewer = {Alexander Engau},
Number = {1, Ser. A},
Pages = {21--64},
Title = {Semidefinite representation of convex sets},
Url = {http://dx.doi.org/10.1007/s10107-008-0240-y},
Volume = {122},
Year = {2010},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=2533752}}
@article{MR1404832,
Author = {Auslender, A.},
Coden = {NFADOL},
Date-Added = {2014-02-28 14:51:01 -0500},
Date-Modified = {2014-02-28 14:51:08 -0500},
Doi = {10.1080/01630569608816707},
Fjournal = {Numerical Functional Analysis and Optimization. An International Journal},
Issn = {0163-0563},
Journal = {Numer. Funct. Anal. Optim.},
Mrclass = {47N10 (47A99 49J27 54A10 57N17)},
Mrnumber = {1404832 (97j:47091)},
Mrreviewer = {Xian Zhi George Yuan},
Number = {5-6},
Pages = {503--515},
Title = {Closedness criteria for the image of a closed set by a linear operator},
Url = {http://dx.doi.org/10.1080/01630569608816707},
Volume = {17},
Year = {1996},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=1404832}}
%%%%%%%%%%%%%%%%%%%%%quantum references CK Li et al
@article {Kraus:83,
AUTHOR = {Kraus, K.},
TITLE = {States, Effects, and Operations: Fundamental Notions of Quantum
Theory},
JOURNAL = {Lecture Notes in Physics, Springer-Verlag, Berlin},
VOLUME = {190},
YEAR = {1983},
}
@book {NC:00,
editor = "M.A. Nielsen and I.L. Chuang",
Publisher="Cambridge University Press",
booktitle ="Quantum Computation and Quantum Information",
title ="Quantum Computation and Quantum Information",
year="2000"
}
@article {CJW:04,
AUTHOR = {Chefles, A. and Jozsa, R. and Winter, A.},
TITLE = {On the existence of physical transformations
between sets of quantum states},
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FJOURNAL = {International Journal Quantum Information},
VOLUME = {2},
YEAR = {2004},
PAGES = {11--21},
}
@techreport{Watrous:1207.5726,
AUTHOR = {Watrous, J},
TITLE = {Simpler semidefinite programs for
completely bounded norms},
YEAR = {2012},
institution = "School of Computer Sciences, University of
Waterloo",
URL = {http://arxiv.org/abs/1207.5726}
}
@article{Watrous:0901.4709,
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JOURNAL = {Theory of Computing},
VOLUME = {5},
YEAR = {2009},
PAGES={217-238},
URL = {http://arxiv.org/abs/0901.4709}
}
@article{Watrous:0710.0902,
AUTHOR = {Watrous, J.},
TITLE = {Distinguishing quantum operations
having few Kraus operators},
JOURNAL={Quant. Inf. Comp.},
FJOURNAL = {Quantum Information & Computation},
VOLUME = {8},
YEAR = {2008},
PAGES={819-833},
URL = {http://arxiv.org/abs/0710.0902}
}
@article{NJKr:0909.3907,
AUTHOR = {Johnston, N. and Kribs, W.},
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JOURNAL = {Journal of Mathematical Physics},
VOLUME = {51},
YEAR = {2010},
URL = {http://arxiv.org/abs/0909.3907 }
}
@article{NJKr:1006.0898,
AUTHOR = {Johnston, N. and Kribs, W.},
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VOLUME = {11},
YEAR = {2011},
PAGES= {104-123},
URL = {http://arxiv.org/abs/1006.0898 }
}
@article{NJKr:1304.2328,
AUTHOR = {Johnston, N. and Kribs, W.},
TITLE = {Duality of Entanglement Norms},
JOURNAL = {Linear and Multilinear Algebra},
VOLUME = {62},
YEAR = {2014},
PAGES= {648-658},
URL = {http://arxiv.org/abs/1304.2328 }
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@article{Watrous:0411077,
AUTHOR = {Watrous, J.},
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JOURNAL = {Quantum Information \& Computation},
VOLUME = {5},
YEAR = {2005},
PAGES={58-68},
URL = {http://arxiv.org/abs/quant-ph/0411077}
}
#######################added paper by Greg Reid 2014
@article{CurtoFialkow96,
title={Solution of the truncated complex moment problem for flat
data-Introduction},
author={Curto, RE and Fialkow, LA},
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}
@article{DavenportHeintz88,
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pages={29--35},
year={1988},
publisher={Elsevier}
}
@article{Faugere99,
title={A new efficient algorithm for computing Gr{\"o}bner bases (< i>
F< sub> 4)},
author={Faugere, Jean-Charles},
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volume={139},
number={1},
pages={61--88},
year={1999},
publisher={Elsevier}
}
@article{GerdtBlinkov:1998,
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volume={45},
number={5},
pages={519--541},
year={1998},
publisher={Elsevier}
}
@article{GTZ88,
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volume = {6},
number = {2–3},
pages = {149 - 167},
year = {1988},
author = {Patrizia Gianni and Barry Trager and Gail Zacharias},
}
@article{GrigorevVorobjov92,
title={Counting connected components of a semialgebraic set in
subexponential time},
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volume={2},
number={2},
pages={133--186},
year={1992},
publisher={Springer}
}
@article{Hauenstein12,
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volume={125},
number={1},
pages={105--119},
year={2013},
publisher={Springer}
}
@phdthesis{Hong90,
author = {Hong, Hoon},
advisor = {Collins, George E.},
title = {Improvements in Cad-based Quantifier Elimination},
year = {1990},
note = {AAI9111716},
publisher = {The Ohio State University},
}
@article{Kuranishi:1957,
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.ming.bib 0000600 0010230 0010230 00000025154 12346654604 013364 0 ustar hwolkowi hwolkowicz # This file contains bib entries related to work with/by Ming Li
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/qap.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
#
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
%AAAAAAAAAA
@techreport {AnsBri:00,
author = "K.M. ANSTREICHER and N.W. BRIXIUS",
title = "Solving quadratic assignment problems using
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institution = "University of Iowa",
address = " Iowa City, IA",
year = "2000"
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#BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
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MRCLASS = {15A42 (47A30 47A63)},
MRNUMBER = {2401646 (2009f:15041)},
MRREVIEWER = {Omar Hirzallah},
}
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MRCLASS = {15A45 (15A42 15A60 47A30)},
MRNUMBER = {1751140 (2001a:15023)},
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{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/S0024-3795(00)00048-3},
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#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
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URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2010.05.011},
}
#KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
@article{hk,
author = "F. Kittaneh",
title = "Matrix {Y}oung inequalities for the {H}ilbert-{S}chmidt norm",
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journal = "Linear and Multilinear Algebra",
volume = "to appear",
year = "2011",
pages = "--"
}
#LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
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#MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
@book{mpf,
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#NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN
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@article {MR2401644,
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MRCLASS = {15A18 (15A42)},
MRNUMBER = {2401644 (2009d:15023)},
MRREVIEWER = {Gl{\'o}ria Cravo},
DOI = {10.1016/j.laa.2007.11.016},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2007.11.016},
}
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@conference{BalMaz80,
author = "Balas, E. and Mazzola, J.B.",
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organization = "TIMS/ORSA",
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#SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
@article {MR2318667,
AUTHOR = {Stephen, T.},
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{L}aplacians},
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MRREVIEWER = {Lihua Feng},
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URL = {http://dx.doi.org/10.1137/040619594},
}
#TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
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URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2005.12.017},
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#ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
@book {MR1691203,
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ISSN = {1331-4343},
MRCLASS = {15A45},
MRNUMBER = {1859654 (2002h:15025)},
MRREVIEWER = {I. Gavrea},
}
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of Linear Algebra"} @STRING{ejc = "European Journal of
Combinatorics"} @STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@STRING{ glasgow = "Glasgow Math. J."} @STRING{ glasgowlong =
"Glasgow Mathematical Journal"} @string{jogo = "J. Global
Optim."} @string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"} @STRING{
IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"} @string{ijnme =
"International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"} @STRING{ JAMS = "J.
Australian Math. Soc."} @STRING{ JAMSlong = "J. of the
Australian Mathematical Society"} @string{ JCAM = {J. of
Comput. Appl. Mathem.}} @string{ JCAMlong = {J. of
Computational and Applied Mathematics}} @STRING{jacm = "J.
Assoc. Comput. Mach."} @STRING{JACMlong = "Journal of the
Association of Computing Machinery"} @string{jco = "J. Comb.
Optim."} @string{JCOlong = "Journal of Combinatorial
Optimization"} @STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"} @STRING{joflong= "Journal of
Finance"} @STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and
Applications"} @STRING{ JORS = "J. Oper. Res. Soc."
} @STRING{ JRAM = "J. f{\"u}r die reine und angewandte
{M}athematik"} @STRING{ JRC = "J. of Regional Science"
} @string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and
Applications"} @STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of
Standards"} @STRING{jrssa = "Journal of the Royal Statistical
Society: Series~A"} @string{laa = "Linear Algebra Appl."}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"} @STRING{ms
= "Management Sci."} @STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" } @string{mcomp =
"Math. Comp."} @string{MCOMPlong = "Mathematics of
Computation"} @STRING{ MP = "Math. Programming"
} @string{mprog = "Math. Programming"} @STRING{MPROGlong =
"Mathematical Programming"} @STRING{mp = "Math. Programming"}
@string{MPlong = {Mathematical Programming}} @STRING{mpa =
"Math. Programming, Series A"} @STRING{mps = "Math. Programming
Studies"} @STRING{mpb = "Math. Programming, Series B"} @STRING{
MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."} @STRING{ MORlong =
"Mathematics of Operations Research" } @STRING{mathz =
"Math. Z."} @STRING{ nrlq = "Naval Res. Logist. Quart."
} @STRING{ NRLQlong = "Naval Research Logistics Quarterly"
} @STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"} @STRING{ OPTI = "Optimization"
} @string{ oms = "Optim. Methods Softw."} @string{ OPSlong =
"Optimization Methods and Software"} @string{ornl = "Oak
Ridge National Laboratory"} @STRING{orl = "Operations Research
Letters"} @STRING{or = "Operations Research"} @STRING{jorlong =
"Journal of the Operations Research Society"} @STRING{jor =
"Oper. Res."} @STRING{jors = "Oper. Res."} @STRING{ ORQ =
"Operations Research Quarterly" } @STRING{pjm =
"Pacific Journal of Mathematics"} @string{pc = "Parallel
Computing"} @STRING{pams = "Proceedings of the American
Mathematical Society"} @STRING{rsue = "Regional Science and
Urban Economics"} @STRING{restud = "Review of Economics
Studies"} @STRING{ SIAM = "SIAM"
} @string{sijam = "SIAM J. Appl. Math."} @string{SIJAMlong
= "SIAM J. ON Applied Mathematics"} @STRING{siad = "SIAM J.
Algebraic Discrete Methods"} @STRING{SIADlong = "SIAM Journal
on Algebraic and Discrete Methods"} @string{sdma = "SIAM J.
Discrete Math."} @string{SDMAlong = "SIAM Journal on
Discrete Mathematics"} @string{SIAGOPT = "SIAG/OPT
Views-and-News"} @STRING{ SRev = "SIAM Review"
} @STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." } @STRING{ SJMA =
"SIAM J. Math. Anal." } @string{SJMAA = "SIAM J. Matrix Anal.
Appl."} @STRING{sijc = "SIAM J. on Computing"} @STRING{SIJClong
= "SIAM Journal on Computing"} @string{sico = "SIAM J.
Control Optim."} @string{SICOlong = "SIAM J. on Control and
Optimization"} @string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and
Applications"} @string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."} @STRING{SJNAlong = "SIAM
J. on Numerical Analysis"} @string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical
Computing"} @string{sir = "SIAM Review"} ### start strings
from Goemans @string{stoc95 = "Proc. of the 27th {ACM} Symp.
on Theory Comput."} @string{stoc97 = "Proc. of the 29th {ACM}
Symp. on Theory Comput."} @string{stoc98 = "Proc. of the 30th
{ACM} Symp. on Theory Comput."} @string{stoc99 = "Proc. of the
31st {ACM} Symp. on Theory Comput."} @string{focs97 = "Proc.
38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on Disc. Algs."}
### end strings from Goemans @STRING{tr = "Transportation
Research"} @STRING{ts = "Transportation Science"} @STRING{tams
= "Transactions of the American Mathematical Society"} @STRING{
TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."} @STRING{UTILMATHlong =
"Utilitas Mathematica"}
@STRING{ SV = "Springer-Verlag" }
@STRING{ MGH = "Mc{G}raw-Hill" }
@STRING{ W = "Wiley" }
@STRING{ JW = "John Wiley" }
@STRING{ WI = "Wiley-Interscience" }
@STRING{ PH = "Prentice-Hall" }
@STRING{ AW = "Addison-Wesley" }
@STRING{ PUP = "Princeton University Press" }
@STRING{ AP = "Academic Press" }
@STRING{ CUP = "Cambridge University Press" }
@STRING{ OUP = "Oxford University Press" }
@STRING{ ESP = "Elsevier Science Publisher B.V." }
@STRING{ KAP = "Kluwer Adademic Publishers" }
@STRING{ NY = "New York" }
@STRING{ B = "Berlin" }
@STRING{ NJ = "New Jersey" }
@STRING{ NH = "North-Holland" }
@STRING{ EIEUR = "Econometric Institute, Erasmus University
Rotterdam" } @STRING{ ROT = "Rotterdam, The Netherlands"
}
@STRING{ S = "STURM, J.F."} @STRING{ SZ = "STURM, J.F. and
Zhang, S."} @STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and
ZHANG, S."} @STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
############################################# # The following
is from V. Balakrishnan on SDP and systems control @string{
csm= {IEEE Control Syst.\ Mag.} } @string{ tac=
{IEEE Trans.\ Aut.\ Control} } @string{ scl= {Syst.\
Control Letters} } @string{ arc= {Automation and
Remote Control} } @string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
############################################# @string{ ijrnc=
{Int.\ J.\ Robust and Nonlinear Control} } @string{ acc=
{Proc.\ American Control Conf.} } @string{ aut=
{Automatica} } @string{ tcst= {IEEE Trans.\ Control
Sys.\ Tech.} } @string{ csm= {IEEE Control Syst.\
Mag.} } @string{ tac= {IEEE Trans.\ Aut.\ Control}
} @string{ scl= {Syst.\ Control Letters} } @string{
arc= {Automation and Remote Control} } @string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{ ieep= {IEE Proc.} }
#############################################
############################################# ##from Bertsimis
############################################# @string{ICTA =
{IEE Proc. -Control Theory Appl.}} @String{IROS="IEEE Int.
Conf. on Intelligent Robot Systems"} @String{ICRA="Proc. IEEE
Int. Conf. on Robotics and Automation"} @String{IJRR = {Int. J.
of Robot. Res.}} @String{ITSMC ={IEEE Trans. Syst., Man,
Cybern.}} @String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on
Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals - ####
changed in master.bib first @string{toms = "ACM Transactions
on Mathematical Software"} @STRING{aer = "American Economic
Review"} @STRING{ajae = "Americal Journal of Agricultural
Economics"} @STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."} @STRING{AMERlong = "The
American Statistician"} @STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"} @string{adm
= "Ann. Discrete Math."} @string{ADMlong = "Annals of Discrete
Mathematics"} @STRING{ams = "Annals of Mathematical
Statistics"} @STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."} @STRING{ APNUMlong =
"Applied Numerical Mathematics"} @string{bell = "The Bell
System Technical Journal"} @string{ coap = "Comput. Optim.
Appl."} @string{ coa = "Comput. Optim. Appl."} @string{
COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"} @string{cacm
= "Communications of the ACM"} @STRING{ cor = "Comput. Oper.
Res." } @STRING{ CORlong = "Computer and Operations
Research" } @string{comp = "Computing"} STRING{
CRAS = "Compt Rend Acad. Sci." } @STRING{
CM = "Contemporary Mathematics" } @STRING{ C
= "Cybernetics" } @STRING{cmj =
"Czechoslovak Math. J."} @STRING{dam = "Discrete Applied
Mathematics"} @STRING{dm = "Discrete Mathematics"} @STRING{
ECPE = "Eng. Costs and Prod. Econ." } @string{electjc =
"Electronic J. Combinatorics"} @string{ela = "Electronic J.
Linear Algebra"} @string{elalong = "The Electronic JOURNAL
of Linear Algebra"} @STRING{ejc = "European Journal of
Combinatorics"} @STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@STRING{ glasgow = "Glasgow Math. J."} @STRING{ glasgowlong =
"Glasgow Mathematical Journal"} @string{jogo = "J. Global
Optim."} @string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"} @STRING{
IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"} @string{ijnme =
"International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"} @STRING{ JAMS = "J.
Australian Math. Soc."} @STRING{ JAMSlong = "J. of the
Australian Mathematical Society"} @string{ JCAM = {J. of
Comput. Appl. Mathem.}} @string{ JCAMlong = {J. of
Computational and Applied Mathematics}} @STRING{jacm = "J.
Assoc. Comput. Mach."} @STRING{JACMlong = "Journal of the
Association of Computing Machinery"} @string{jco = "J. Comb.
Optim."} @string{JCOlong = "Journal of Combinatorial
Optimization"} @STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"} @STRING{joflong= "Journal of
Finance"} @STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and
Applications"} @STRING{ JORS = "J. Oper. Res. Soc."
} @STRING{ JRAM = "J. f{\"u}r die reine und angewandte
{M}athematik"} @STRING{ JRC = "J. of Regional Science"
} @string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and
Applications"} @STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of
Standards"} @STRING{jrssa = "Journal of the Royal Statistical
Society: Series~A"} @string{laa = "Linear Algebra Appl."}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"} @STRING{ms
= "Management Sci."} @STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" } @string{mcomp =
"Math. Comp."} @string{MCOMPlong = "Mathematics of
Computation"} @STRING{ MP = "Math. Programming"
} @string{mprog = "Math. Programming"} @STRING{MPROGlong =
"Mathematical Programming"} @STRING{mp = "Math. Programming"}
@string{MPlong = {Mathematical Programming}} @STRING{mpa =
"Math. Programming, Series A"} @STRING{mps = "Math. Programming
Studies"} @STRING{mpb = "Math. Programming, Series B"} @STRING{
MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."} @STRING{ MORlong =
"Mathematics of Operations Research" } @STRING{mathz =
"Math. Z."} @STRING{ nrlq = "Naval Res. Logist. Quart."
} @STRING{ NRLQlong = "Naval Research Logistics Quarterly"
} @STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"} @STRING{ OPTI = "Optimization"
} @string{ oms = "Optim. Methods Softw."} @string{ OPSlong =
"Optimization Methods and Software"} @string{ornl = "Oak
Ridge National Laboratory"} @STRING{orl = "Operations Research
Letters"} @STRING{or = "Operations Research"} @STRING{jorlong =
"Journal of the Operations Research Society"} @STRING{jor =
"Oper. Res."} @STRING{jors = "Oper. Res."} @STRING{ ORQ =
"Operations Research Quarterly" } @STRING{pjm =
"Pacific Journal of Mathematics"} @string{pc = "Parallel
Computing"} @STRING{pams = "Proceedings of the American
Mathematical Society"} @STRING{rsue = "Regional Science and
Urban Economics"} @STRING{restud = "Review of Economics
Studies"} @STRING{ SIAM = "SIAM"
} @string{sijam = "SIAM J. Appl. Math."} @string{SIJAMlong
= "SIAM J. ON Applied Mathematics"} @STRING{siad = "SIAM J.
Algebraic Discrete Methods"} @STRING{SIADlong = "SIAM Journal
on Algebraic and Discrete Methods"} @string{sdma = "SIAM J.
Discrete Math."} @string{SDMAlong = "SIAM Journal on
Discrete Mathematics"} @string{SIAGOPT = "SIAG/OPT
Views-and-News"} @STRING{ SRev = "SIAM Review"
} @STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." } @STRING{ SJMA =
"SIAM J. Math. Anal." } @string{SJMAA = "SIAM J. Matrix Anal.
Appl."} @STRING{sijc = "SIAM J. on Computing"} @STRING{SIJClong
= "SIAM Journal on Computing"} @string{sico = "SIAM J.
Control Optim."} @string{SICOlong = "SIAM J. on Control and
Optimization"} @string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and
Applications"} @string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."} @STRING{SJNAlong = "SIAM
J. on Numerical Analysis"} @string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical
Computing"} @string{sir = "SIAM Review"} ### start strings
from Goemans @string{stoc95 = "Proc. of the 27th {ACM} Symp.
on Theory Comput."} @string{stoc97 = "Proc. of the 29th {ACM}
Symp. on Theory Comput."} @string{stoc98 = "Proc. of the 30th
{ACM} Symp. on Theory Comput."} @string{stoc99 = "Proc. of the
31st {ACM} Symp. on Theory Comput."} @string{focs97 = "Proc.
38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on Disc. Algs."}
### end strings from Goemans @STRING{tr = "Transportation
Research"} @STRING{ts = "Transportation Science"} @STRING{tams
= "Transactions of the American Mathematical Society"} @STRING{
TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."} @STRING{UTILMATHlong =
"Utilitas Mathematica"}
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@article {MR0130159,
AUTHOR = {Walras, L{\'e}on},
TITLE = {\'{E}conomique et m\'ecanique},
JOURNAL = {Metroecon.},
VOLUME = {12},
YEAR = {1960},
PAGES = {3--13},
MRCLASS = {01.35},
MRNUMBER = {MR0130159 (24 \#A26)},
MRREVIEWER = {E. A. Robinson},
}
@inproceedings{1060601,
author = {Bruno Codenotti and Benton McCune and Kasturi Varadarajan},
title = {Market equilibrium via the excess demand function},
booktitle = {STOC '05: Proceedings of the thirty-seventh annual ACM symposium on Theory of computing},
year = {2005},
isbn = {1-58113-960-8},
pages = {74--83},
location = {Baltimore, MD, USA},
doi = {http://doi.acm.org/10.1145/1060590.1060601},
publisher = {ACM},
address = {New York, NY, USA},
}
@article {MR0103119,
AUTHOR = {Arrow, Kenneth J. and Block, H. D. and Hurwicz, Leonid},
TITLE = {On the stability of the competitive equilibrium. {II}},
JOURNAL = {Econometrica},
FJOURNAL = {Econometrica. Journal of the Econometric Society},
VOLUME = {27},
YEAR = {1959},
PAGES = {82--109},
ISSN = {0012-9682},
MRCLASS = {90.00},
MRNUMBER = {MR0103119 (21 \#1902)},
MRREVIEWER = {T. Haavelmo},
}
@article {MR0101822,
AUTHOR = {Arrow, Kenneth J. and Hurwicz, Leonid},
TITLE = {On the stability of the competitive equilibrium. {I}},
JOURNAL = {Econometrica},
FJOURNAL = {Econometrica. Journal of the Econometric Society},
VOLUME = {26},
YEAR = {1958},
PAGES = {522--552},
ISSN = {0012-9682},
MRCLASS = {90.00},
MRNUMBER = {MR0101822 (21 \#629)},
MRREVIEWER = {T. Haavelmo},
}
@article{154553,
author = {Liqun Qi},
title = {Convergence analysis of some algorithms for solving nonsmooth equations},
journal = {Math. Oper. Res.},
volume = {18},
number = {1},
year = {1993},
issn = {0364-765X},
pages = {227--244},
publisher = {INFORMS},
address = {Institute for Operations Research and the Management Sciences (INFORMS), Linthicum, Maryland, USA},
}
@article {MR0077069,
AUTHOR = {Arrow, Kenneth J. and Debreu, Gerard},
TITLE = {Existence of an equilibrium for a competitive economy},
JOURNAL = {Econometrica},
FJOURNAL = {Econometrica. Journal of the Econometric Society},
VOLUME = {22},
YEAR = {1954},
PAGES = {265--290},
ISSN = {0012-9682},
MRCLASS = {90.0X},
MRNUMBER = {MR0077069 (17,985e)},
MRREVIEWER = {S. Malmquist},
}
@ARTICLE{4218359,
title={A Survey of Dynamic Spectrum Access: Signal Processing and Networking Perspectives},
author={Qing Zhao and Swami, A.},
journal={Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on},
year={15-20 April 2007},
volume={4},
number={},
pages={IV-1349-IV-1352},
keywords={signal processing, subscriber loopsdynamic spectrum access, hierarchical access model, networking perspectives, open sharing model, signal processing},
doi={10.1109/ICASSP.2007.367328},
ISSN={1520-6149}, }
@ARTICLE{Ye2007,
title={Competitive Communication Spectrum Economy and Equilibrium (Draft)},
author={Yinyu Ye},
url={ http://www.stanford.edu/~yyye/spectrumpricing1.pdf},
year={22 October 2007}, }
@article{1288329,
author = {Zhi-Quan Luo and Jong-Shi Pang},
title = {Analysis of iterative waterfilling algorithm for multiuser power control in digital subscriber lines},
journal = {EURASIP J. Appl. Signal Process.},
volume = {2006},
number = {1},
year = {uary},
issn = {1110-8657},
pages = {80--80},
doi = {http://dx.doi.org/10.1155/ASP/2006/24012},
publisher = {Hindawi Publishing Corp.},
address = {New York, NY, United States},
}
@ARTICLE{1391031,
title={Cognitive radio: brain-empowered wireless communications},
author={Haykin, S.},
journal={Selected Areas in Communications, IEEE Journal on},
year={Feb. 2005},
volume={23},
number={2},
pages={ 201-220},
keywords={ channel estimation, cognitive systems, learning (artificial intelligence), power control, radio spectrum management, software radio, stochastic games brain-empowered wireless communication, channel-state estimation, cognitive radio, interference temperature, machine learning, predictive modeling, radio electromagnetic spectrum, radio-scene analysis, software-defined radio, stochastic games, transmit-power control, understanding-by-building},
doi={10.1109/JSAC.2004.839380},
ISSN={0733-8716}, }
@ARTICLE{1632106,
title={Optimal multiuser spectrum balancing for digital subscriber lines},
author={Cendrillon, R. and Wei Yu and Moonen, M. and Verlinden, J. and Bostoen, T.},
journal={Communications, IEEE Transactions on},
year={May 2006},
volume={54},
number={5},
pages={ 922-933},
abstract={ Crosstalk is a major issue in modern digital subscriber line (DSL) systems such as ADSL and VDSL. Static spectrum management, which is the traditional way of ensuring spectral compatibility, employs spectral masks that can be overly conservative and lead to poor performance. This paper presents a centralized algorithm for optimal spectrum balancing in DSL. The algorithm uses the dual decomposition method to optimize spectra in an efficient and computationally tractable way. The algorithm shows significant performance gains over existing dynamics spectrum management (DSM) techniques, e.g., in one of the cases studied, the proposed centralized algorithm leads to a factor-of-four increase in data rate over the distributed DSM algorithm iterative waterfilling.},
keywords={ crosstalk, digital subscriber lines, frequency allocation, iterative methods DSL, crosstalk, digital subscriber lines, dynamic spectrum management, iterative waterfilling, optimum multiuser spectrum balancing, static spectrum management},
doi={10.1109/TCOMM.2006.873096},
ISSN={0090-6778}, }
@ARTICLE{1007390,
title={Distributed multiuser power control for digital subscriber lines },
author={Wei Yu and Ginis, G. and Cioffi, J.M.},
journal={Selected Areas in Communications, IEEE Journal on},
year={Jun 2002},
volume={20},
number={5},
pages={1105-1115},
abstract={This paper considers the multiuser power control problem in a frequency-selective interference channel. The interference channel is modeled as a noncooperative game, and the existence and uniqueness of a Nash equilibrium are established for a two-player version of the game. An iterative water-filling algorithm is proposed to efficiently reach the Nash equilibrium. The iterative water-filling algorithm can be implemented distributively without the need for centralized control. It implicitly takes into account the loop transfer functions and cross couplings, and it reaches a competitively optimal power allocation by offering an opportunity for loops to negotiate the best use of power and frequency with each other. When applied to the upstream power backoff problem in very-high bit-rate digital subscriber lines and the downstream spectral compatibility problem in asymmetric digital subscriber lines, the new power control algorithm is found to give a significant performance improvement when compared with existing methods },
keywords={digital subscriber lines, distributed control, game theory, iterative methods, power control, spectral analysis, telecommunication control, transfer functionsCDMA system, Nash equilibrium, asymmetric digital subscriber lines, cross coupling, distributed multiuser power control, downstream spectral compatibility, frequency-selective interference channel, frequency-selective multiuser interference channel, iterative water-filling algorithm, loop transfer functions, noncooperative game, optimal power allocation, power control algorithm, two-player game, upstream power backoff, very-high bit-rate digital subscriber lines},
doi={10.1109/JSAC.2002.1007390},
ISSN={0733-8716}, }
@inproceedings{1070443,
author = {Bruno Codenotti and Sriram Pemmaraju and Kasturi Varadarajan},
title = {On the polynomial time computation of equilibria for certain exchange economies},
booktitle = {SODA '05: Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms},
year = {2005},
isbn = {0-89871-585-7},
pages = {72--81},
location = {Vancouver, British Columbia},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@ARTICLE{983324,
title={Efficient power control via pricing in wireless data networks},
author={Saraydar, C.U. and Mandayam, N.B. and Goodman, D.J.},
journal={Communications, IEEE Transactions on},
year={2002},
month={Feb},
volume={50},
number={2},
pages={291-303},
keywords={costing, data communication, distributed control, game theory, power control, quality of service, radio networks, tariffs, telecommunication controlNash equilibrium, Pareto improvement, QoS, base station, distributed implementation, distributed power control, efficient power control, game theory, heavily loaded system, noncooperative power control game, power control algorithms, pricing function, quality of service, radio resource management, transmit power pricing, user utilities, voice communications, wireless communications systems, wireless data networks, wireless data services, wireless terminal},
doi={10.1109/26.983324},
ISSN={0090-6778},
}
@inproceedings{nash50,
author = {Nash, John F. },
title = {Equilibrium points in n-person games},
booktitle = {Proceedings of the National Academy of Sciences of the United States of America},
year = {1950},
}
@book{1296179,
author = {Noam Nisan and Tim Roughgarden and Eva Tardos and Vijay V. Vazirani},
title = {Algorithmic Game Theory},
year = {2007},
isbn = {0521872820},
publisher = {Cambridge University Press},
address = {New York, NY, USA},
}
@ARTICLE{Goemans95,
author = {Michel X. Goemans and David P. Williamson},
title = {Improved approximation algorithms for Maximum Cut and Satisfiability problems using semidefinite programming},
journal = {Journal of the ACM},
year = {1995},
volume = {42},
pages = {1115--1145}
}
@incollection{ramesh07,
author = "Ramesh Johari",
TITLE = {The Price of Anarchy and the Design of Scalable Resource Allocation Mechanisms},
BOOKTITLE = {Algorithmic Game Theory},
PAGES = {543--567},
PUBLISHER = {Cambridge University Press},
ADDRESS = {New York, NY, USA},
YEAR = {2007},
}
@inproceedings{1132545,
author = {Sung-woo Cho and Ashish Goel},
title = {Pricing for fairness: distributed resource allocation for multiple objectives},
booktitle = {STOC '06: Proceedings of the thirty-eighth annual ACM symposium on Theory of computing},
year = {2006},
isbn = {1-59593-134-1},
pages = {197--204},
location = {Seattle, WA, USA},
doi = {http://doi.acm.org/10.1145/1132516.1132545},
publisher = {ACM},
address = {New York, NY, USA},
}
@article{635223,
author = {Yuichi Asahiro and Refael Hassin and Kazuo Iwama},
title = {Complexity of finding dense subgraphs},
journal = {Discrete Appl. Math.},
volume = {121},
number = {1-3},
year = {2002},
issn = {0166-218X},
pages = {15--26},
doi = {http://dx.doi.org/10.1016/S0166-218X(01)00243-8},
publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
}
@article{feige,
author = {Feige, Uriel and MirrokniV, Vahab S. and Vondrak, Jan},
title = {Maximizing Non-Monotone Submodular Functions},
booktitle = {FOCS '07: Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science},
year = {2007},
isbn = {0-7695-3010-9},
pages = {461--471},
doi = {http://dx.doi.org/10.1109/FOCS.2007.40},
publisher = {IEEE Computer Society},
address = {Washington, DC, USA},
}
@INPROCEEDINGS{Deng97algorithmsand,
author = {Xiaotie Deng and Toshihide Ibaraki and Hiroshi Nagamochi},
title = {Algorithms and complexity in combinatorial optimization games},
booktitle = {In SODA},
year = {1997},
pages = {720--729}
}
@inproceedings{Schulz07,
author = {Schulz, Andreas S. and Uhan, Nelson A. },
title = {Encouraging Cooperation in Sharing Supermodular Costs},
booktitle = {APPROX-RANDOM},
year = {2007},
pages = {271-285},
ee = {http://dx.doi.org/10.1007/978-3-540-74208-1_20},
crossref = {DBLP:conf/approx/2007},
bibsource = {DBLP, http://dblp.uni-trier.de}
}
@ARTICLE{Bertsimas02solvingconvex,
author = {Dimitris Bertsimas and Santosh Vempala},
title = {Solving convex programs by random walks},
journal = {Journal of the ACM},
year = {2002},
volume = {51},
pages = {540--556}
}
@ARTICLE{Chen01optimalreplenishment,
author = {Jinfa Chen and David D. Yao and Shaohui Zheng},
title = {Optimal replenishment and rework with multiple unreliable supply sources},
journal = {Operations Research},
year = {2001},
volume = {49},
pages = {430--443}
}
@inproceedings{1070484,
author = {Retsef Levi and Robin Roundy and David B. Shmoys},
title = {A constant approximation algorithm for the one-warehouse multi-retailer problem},
booktitle = {SODA '05: Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms},
year = {2005},
isbn = {0-89871-585-7},
pages = {365--374},
location = {Vancouver, British Columbia},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@article{JiaweiZhang07162008,
author = {Zhang, Jiawei},
title = {{Cost Allocation for Joint Replenishment Models}},
journal = {OPERATIONS RESEARCH},
pages = {opre.1070.0491},
doi = {10.1287/opre.1070.0491},
year = {2008},
abstract = {We consider the one-warehouse multiple retailer inventory model with a submodular joint setup cost function. The objective of this model is to determine an inventory replenishment policy that minimizes the long-run average system cost over an infinite time horizon. Although the optimal policy for this problem is still unknown, a class of easy-to-implement power-of-two policies are 98% effective. This paper focuses on how the cost, under an optimal power-of-two policy, should be allocated to the retailers. This question generates an interesting cooperative game. We prove that this cooperative game has a nonempty core. The key to our result is a strong duality theorem for the one-warehouse multiple retailer problem under power-of-two policies.
},
URL = {http://or.journal.informs.org/cgi/content/abstract/opre.1070.0491v1}
}
@inproceedings{1376663,
author = {Nan Wang and Srinivasan Parthasarathy and Kian-Lee Tan and Anthony K. H. Tung},
title = {CSV: visualizing and mining cohesive subgraphs},
booktitle = {SIGMOD '08: Proceedings of the 2008 ACM SIGMOD international conference on Management of data},
year = {2008},
isbn = {978-1-60558-102-6},
pages = {445--458},
location = {Vancouver, Canada},
doi = {http://doi.acm.org/10.1145/1376616.1376663},
publisher = {ACM},
address = {New York, NY, USA},
}
@INPROCEEDINGS{Lehmann01combinatorialauctions,
author = {Benny Lehmann and Daniel Lehmann and Noam Nisan},
title = {Combinatorial Auctions with Decreasing Marginal Utilities},
booktitle = {In ACM conference on electronic commerce},
year = {2001},
pages = {18--28}
}
@ARTICLE{Feige97thedense,
author = {Uriel Feige and Guy Kortsarz and David Peleg},
title = {The Dense k-subgraph problem},
journal = {Algorithmica},
year = {1997},
volume = {29},
pages = {2001}
}
@inproceedings{1398957,
author = {Kortsarz,, G. and Peleg,, D.},
title = {On choosing a dense subgraph},
booktitle = {SFCS '93: Proceedings of the 1993 IEEE 34th Annual Foundations of Computer Science},
year = {1993},
isbn = {0-8186-4370-6},
pages = {692--701},
doi = {http://dx.doi.org/10.1109/SFCS.1993.366818},
publisher = {IEEE Computer Society},
address = {Washington, DC, USA},
}
@MISC{Srivastav_findingdense,
author = {Anand Srivastav and Katja Wolf},
title = {Finding Dense Subgraphs with Mathematical Programming},
year = {}
}
@article{1327774,
author = {Yang,, Wan-Shiou and Dia, Jia-Ben},
title = {Discovering cohesive subgroups from social networks for targeted advertising},
journal = {Expert Syst. Appl.},
volume = {34},
number = {3},
year = {2008},
issn = {0957-4174},
pages = {2029--2038},
doi = {http://dx.doi.org/10.1016/j.eswa.2007.02.028},
publisher = {Pergamon Press, Inc.},
address = {Tarrytown, NY, USA},
}
@article {Frank27,
author = "Frank K.A.",
title = "Identifying cohesive subgroups",
journal = "Social Networks",
volume = "17",
year = "January 1995",
abstract = "Cohesive subgroups have always represented an important construct for sociologists who study individuals and organizations. In this article, I apply recent advances in the statistical modelling of social network data to the task of identifying cohesive subgroups from social network data. Further, through simulated data, I describe a process for obtaining the probability that a given sample of data could have been obtained from a network in which actors were no more likely to engage in interaction with subgroup members than with members of other subgroups. I obtain the probability for a specific data set, and then, through further simulations, develop a model which can be applied to future data sets. Also through simulated data, I characterize the extent to which a simple hill-climbing algorithm recovers known subgroup memberships. I apply the algorithm to data indicating the extent of professional discussion among teachers in a high school, and I show the relationship between membership in cohesive subgroups and teachers' orientations towards teaching.
",
pages = "27-56(30)",
url = "http://www.ingentaconnect.com/content/els/03788733/1995/00000017/00000001/art00247",
doi = "doi:10.1016/0378-8733(94)00247-8"
}
@article {colin2007,
author = "Colin Stewart",
title = "Robust Conventions and the Structure of Social Networks",
journal = "working paper",
year = "2006",
url = "http://individual.utoronto.ca/colinstewart/robust-conventions.pdf"
}
@article{Everett2000397,
title = "Peripheries of cohesive subsets",
journal = "Social Networks",
volume = "21",
number = "4",
pages = "397 - 407",
year = "2000",
note = "",
issn = "0378-8733",
doi = "DOI: 10.1016/S0378-8733(99)00020-9",
url = "http://www.sciencedirect.com/science/article/B6VD1-3YHG8BC-5/2/c241bcca9d0ff653e66345aa71817cd6",
author = "Martin G. Everett and Stephen P. Borgatti"
}
@inproceedings{roughgarden,
author = {Roughgarden, Tim and Sundararajan, Mukund},
title = {New trade-offs in cost-sharing mechanisms},
booktitle = {STOC '06: Proceedings of the thirty-eighth annual ACM symposium on Theory of computing},
year = {2006},
isbn = {1-59593-134-1},
pages = {79--88},
location = {Seattle, WA, USA},
doi = {http://doi.acm.org/10.1145/1132516.1132528},
publisher = {ACM},
address = {New York, NY, USA},
}
@inproceedings{vondrak08,
author = {Vondrak, Jan},
title = {Optimal approximation for the submodular welfare problem in the value oracle model},
booktitle = {STOC '08: Proceedings of the 40th annual ACM symposium on Theory of computing},
year = {2008},
isbn = {978-1-60558-047-0},
pages = {67--74},
location = {Victoria, British Columbia, Canada},
doi = {http://doi.acm.org/10.1145/1374376.1374389},
publisher = {ACM},
address = {New York, NY, USA},
}
@article{Bertsimas02solvingconvex,
author = {Bertsimas, Dimitris and Vempala, Santosh},
title = {Solving convex programs by random walks},
journal = {J. ACM},
volume = {51},
number = {4},
year = {2004},
issn = {0004-5411},
pages = {540--556},
doi = {http://doi.acm.org/10.1145/1008731.1008733},
publisher = {ACM},
address = {New York, NY, USA},
}
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author = {Scarf, Herbert E.},
title = {A min-max solution of an inventory problem},
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year = {1958},
pages = {201-209},
}
@article{Deng08,
author = {Deng, Xiaotie and Fang, Qizhi },
title = {Algorithmic Cooperative Game Theory},
booktitle={Pareto Optimality, Game Theory And Equilibria},
volume = {17},
year = {2008},
issn = {978-0-387-77246-2},
pages = {159--185},
doi = {10.1007/978-0-387-77247-9_7},
publisher = {Springer New York},
}
@article{edmonds70,
author = {Edmonds, Jack},
title = {Submodular functions, matroids, and certain polyhedra},
book = {Combinatorial optimization - Eureka, you shrink!},
year = {2003},
isbn = {3-540-00580-3},
pages = {11--26},
publisher = {Springer-Verlag New York, Inc.},
address = {New York, NY, USA},
}
@INPROCEEDINGS{timKLS,
author = {Shuchi Chawla and Tim Roughgarden and Mukund Sundararajan},
title = {Optimal cost-sharing mechanisms for steiner forest problems},
booktitle = {In Proceedings of the 2nd Workshop on Internet and Network Economics (WINE},
year = {2006},
}
@inproceedings{KLS,
author = {K\"{o}nemann, Jochen and Leonardi, Stefano and Sch\"{a}fer, Guido},
title = {A group-strategyproof mechanism for Steiner forests},
booktitle = {SODA '05: Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms},
year = {2005},
isbn = {0-89871-585-7},
pages = {612--619},
location = {Vancouver, British Columbia},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@article{bikhchandani97,
author={Bikhchandani, Sushil and Mamer, John W},
title={Competitive Equilibrium in an Exchange Economy with Indivisibilities},
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year=1997,
volume={74},
number={2},
pages={385-413},
month={June},
url={http://ideas.repec.org/a/eee/jetheo/v74y1997i2p385-413.html},
}
@article{chudak,
author = {Chudak, Fabi\'{a}n A. and Shmoys, David B.},
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volume = {33},
number = {1},
year = {2004},
issn = {0097-5397},
pages = {1--25},
doi = {http://dx.doi.org/10.1137/S0097539703405754},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@INPROCEEDINGS{pal-tardos-UFL,
author = {Mohammad Mahdian and Martin Pal},
title = {Universal facility location},
booktitle = {in Proc. of ESA 03},
year = {2003},
pages = {409--421}
}
@book{1296179,
author = {Nisan, Noam and Roughgarden, Tim and Tardos, Eva and Vazirani, Vijay V.},
title = {Algorithmic Game Theory, Chapter 15},
year = {2007},
isbn = {0521872820},
publisher = {Cambridge University Press},
address = {New York, NY, USA},
}
@book{1296180,
author = {Nisan, Noam and Roughgarden, Tim and Tardos, Eva and Vazirani, Vijay V.},
title = {Algorithmic Game Theory, Chapter 11},
year = {2007},
isbn = {0521872820},
publisher = {Cambridge University Press},
address = {New York, NY, USA},
}
@inproceedings{swamy,
author = {Swamy,, Chaitanya and Shmoys,, David B.},
title = {Sampling-based Approximation Algorithms for Multi-stage Stochastic},
booktitle = {FOCS '05: Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science},
year = {2005},
isbn = {0-7695-2468-0},
pages = {357--366},
doi = {http://dx.doi.org/10.1109/SFCS.2005.67},
publisher = {IEEE Computer Society},
address = {Washington, DC, USA},
}
@inproceedings{charikar,
author = {Garg,, Naveen and Gupta,, Anupam and Leonardi,, Stefano and Sankowski,, Piotr},
title = {Stochastic analyses for online combinatorial optimization problems},
booktitle = {SODA '08: Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms},
year = {2008},
pages = {942--951},
location = {San Francisco, California},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@article{1343211,
author = {Sch\"{u}tz,, Peter and Stougie,, Leen and Tomasgard,, Asgeir},
title = {Stochastic facility location with general long-run costs and convex short-run costs},
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volume = {35},
number = {9},
year = {2008},
issn = {0305-0548},
pages = {2988--3000},
doi = {http://dx.doi.org/10.1016/j.cor.2007.01.006},
publisher = {Elsevier Science Ltd.},
address = {Oxford, UK, UK},
}
@article{133783,
author = {Louveaux,, Fran\c{c}ois V. and Peeters,, D.},
title = {A dual-based procedure for stochastic facility location},
journal = {Oper. Res.},
volume = {40},
number = {3},
year = {1992},
issn = {0030-364X},
pages = {564--573},
publisher = {INFORMS},
address = {Institute for Operations Research and the Management Sciences (INFORMS), Linthicum, Maryland, USA},
}
@ARTICLE{Snyder04facilitylocation,
author = {Lawrence V. Snyder},
title = {Facility location under uncertainty: A review},
journal = {IIE Transactions},
year = {2004},
volume = {38},
pages = {547--564}
}
@BOOK{RuszczynskiShapiro03,
editor = {A. Ruszczynski and Shapiro, A.},
title = {Stochastic Programming},
year = {2003},
volume = {10},
publisher = {Elsevier},
series = {{Handbooks in Operations Research and Management Science}}
}
@article{1122493,
author = {Swamy,, Chaitanya and Shmoys,, David B.},
title = {Approximation algorithms for 2-stage stochastic optimization problems},
journal = {SIGACT News},
volume = {37},
number = {1},
year = {2006},
issn = {0163-5700},
pages = {33--46},
doi = {http://doi.acm.org/10.1145/1122480.1122493},
publisher = {ACM},
address = {New York, NY, USA},
}
@inproceedings{1431059,
author = {Khandekar,, Rohit and Kortsarz,, Guy and Mirrokni,, Vahab and Salavatipour,, Mohammad R.},
title = {Two-Stage Robust Network Design with Exponential Scenarios},
booktitle = {ESA '08: Proceedings of the 16th annual European symposium on Algorithms},
year = {2008},
isbn = {978-3-540-87743-1},
pages = {589--600},
location = {Karlsruhe, Germany},
doi = {http://dx.doi.org/10.1007/978-3-540-87744-8_49},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@ARTICLE{Kleinberg97allocatingbandwidth,
author = {Jon Kleinberg and Yuval Rabani and Eva Tardos},
title = {Allocating Bandwidth for Bursty Connections},
journal = {SIAM J. Comput},
year = {1997},
volume = {30},
pages = {2000}
}
@article{331530,
author = {M\"{o}hring,, Rolf H. and Schulz,, Andreas S. and Uetz,, Marc},
title = {Approximation in stochastic scheduling: the power of LP-based priority policies},
journal = {J. ACM},
volume = {46},
number = {6},
year = {1999},
issn = {0004-5411},
pages = {924--942},
doi = {http://doi.acm.org/10.1145/331524.331530},
publisher = {ACM},
address = {New York, NY, USA},
}
@inproceedings{roughgarden07,
author = {Roughgarden, Tim and Sundararajan, Mukund},
title = {Optimal Efficiency Guarantees for Network Design Mechanisms},
booktitle = {IPCO '07: Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization},
year = {2007},
isbn = {978-3-540-72791-0},
pages = {469--483},
location = {Ithaca, NY, USA},
doi = {http://dx.doi.org/10.1007/978-3-540-72792-7_35},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@INPROCEEDINGS{boosted,
author = {Anupam Gupta and Martin Pal and R. Ravi and Amitabh Sinha},
title = {Boosted sampling: Approximation algorithms for stochastic optimization},
booktitle = {In Proceedings of the 36th Annual ACM Symposium on Theory of Computing},
year = {2004},
pages = {417--426}
}
@ARTICLE{Kleywegt01thesample,
author = {Anton J. Kleywegt and Alexander Shapiro and Tito Homem-de-mello},
title = {The sample average approximation method for stochastic discrete optimization},
journal = {SIAM Journal of Optimization},
year = {2001},
volume = {12},
pages = {479--502}
}
@inproceedings{1419513,
author = {Shmoys,, David B. and Sozio,, Mauro},
title = {Approximation Algorithms for 2-Stage Stochastic Scheduling Problems},
booktitle = {IPCO '07: Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization},
year = {2007},
isbn = {978-3-540-72791-0},
pages = {145--157},
location = {Ithaca, NY, USA},
doi = {http://dx.doi.org/10.1007/978-3-540-72792-7_12},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@inproceedings{1419541,
author = {Feige,, Uriel and Jain,, Kamal and Mahdian,, Mohammad and Mirrokni,, Vahab},
title = {Robust Combinatorial Optimization with Exponential Scenarios},
booktitle = {IPCO '07: Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization},
year = {2007},
isbn = {978-3-540-72791-0},
pages = {439--453},
location = {Ithaca, NY, USA},
doi = {http://dx.doi.org/10.1007/978-3-540-72792-7_33},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@INPROCEEDINGS{1530729, title={How to pay, come what may:
approximation algorithms for demand-robust covering problems},
author={Dhamdhere, K. and Goyal, V. and Ravi, R. and Singh,
M.}, journal={Foundations of Computer Science, 2005. FOCS 2005.
46th Annual IEEE Symposium on}, year={2005}, month={Oct.},
pages={ 367-376}, doi={10.1109/SFCS.2005.42} }
@INPROCEEDINGS{946419, title={Distributionally robust discrete
LQR optimal cost}, author={Winstead, V.}, journal={American
Control Conference, 2001. Proceedings of the 2001},
year={2001}, volume={4}, pages={3227-3228 vol.4},
doi={10.1109/ACC.2001.946419}, }
@article{CaE06, Author =
{G. C. Calafiore and L. {El Ghaoui}}, Journal = {Jour. of
Optimization Theory and Applications}, Month = dec, Number
= {1}, Title = {On Distributionally Robust Chance-Constrained
Linear Programs}, Volume = {130}, Year = {2006},}
@article{ericye, title = {Distributionally Robust Optimization
under Moment Uncertainty with Application to Data-Driven
Problems}, author = {Erick Delage and Yinyu Ye}, year =
{2008}, Journal = {to appear in Operations Research}, }
@article{1400248,
author = {Khot,, Subhash and Lipton,, Richard J. and Markakis,, Evangelos and Mehta,, Aranyak},
title = {Inapproximability Results for Combinatorial Auctions with Submodular Utility Functions},
journal = {Algorithmica},
volume = {52},
number = {1},
year = {2008},
issn = {0178-4617},
pages = {3--18},
doi = {http://dx.doi.org/10.1007/s00453-007-9105-7},
publisher = {Springer-Verlag New York, Inc.},
address = {Secaucus, NJ, USA},
}
@inproceedings{1060681,
author = {Dobzinski,, Shahar and Nisan,, Noam and Schapira,, Michael},
title = {Approximation algorithms for combinatorial auctions with complement-free bidders},
booktitle = {STOC '05: Proceedings of the thirty-seventh annual ACM symposium on Theory of computing},
year = {2005},
isbn = {1-58113-960-8},
pages = {610--618},
location = {Baltimore, MD, USA},
doi = {http://doi.acm.org/10.1145/1060590.1060681},
publisher = {ACM},
address = {New York, NY, USA},
}
@inproceedings{1496900,
author = {So, Anthony Man--Cho},
title = {Improved approximation bound for quadratic optimization problems with orthogonality constraints},
booktitle = {SODA '09: Proceedings of the Nineteenth Annual ACM -SIAM Symposium on Discrete Algorithms},
year = {2009},
pages = {1201--1209},
location = {New York, New York},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@inproceedings{Povh09,
author = {PovhJanez },
title = {Semidefinite approximations for quadratic programs over orthogonal matrices},
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year = {2009},
location = {New York, New York},
publisher = {Springer Netherlands},
doi={10.1007/s10957-009-9539-y},
}
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publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
}
@article{1664644,
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issn = {0025-5610},
pages = {367--384},
doi = {http://dx.doi.org/10.1007/s10107-006-0040-1},
publisher = {Springer-Verlag New York, Inc.},
address = {Secaucus, NJ, USA},
}
@article{1657753,
author = {Ding, Yichuan and Wolkowicz, Henry},
title = {A Low-Dimensional Semidefinite Relaxation for the Quadratic Assignment Problem},
journal = {Math. Oper. Res.},
volume = {34},
number = {4},
year = {2009},
issn = {0364-765X},
pages = {1008--1022},
doi = {http://dx.doi.org/10.1287/moor.1090.0419},
publisher = {INFORMS},
address = {Institute for Operations Research and the Management Sciences (INFORMS), Linthicum, Maryland, USA},
}
.psd.bib 0000600 0010230 0000457 00001776750 12514230155 011775 0 ustar hwolkowi none # This file contains papers related to semidefinite programming, SDP.
# This file is also available at:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
# as part of: Bibliographies on Mathematics
# Bibliography on Semidefinite Programming
# with URL http://liinwww.ira.uka.de/bibliography/Math/psd.html
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
###########
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@mastersthesis {Aarts:99,
author = "L. AARTS",
title = "Primal-Dual Search Directions in Semidefinite
Optimization",
institution = "Delft University of Technology",
year = "1999"}
@article {MR98d:90100,
AUTHOR = {El Abdouni, B. and Thibault, L.},
TITLE = {Optimality conditions for problems with set-valued
objectives},
JOURNAL = {J. Appl. Anal.},
FJOURNAL = {Journal of Applied Analysis},
VOLUME = {2},
YEAR = {1996},
NUMBER = {2},
PAGES = {183--201},
ISSN = {1425-6908},
MRCLASS = {90C29 (49J52)},
MRNUMBER = {98d:90100},
MRREVIEWER = {Tetsuzo Tanino},
}
@TECHREPORT {AdlerAliz:95,
author = "I. ADLER and F. Alizadeh",
title = "Primal-dual interior point algorithms for convex
quadratically constrained and semidefinite optimization problems",
year = "1995",
institution = "Rutcor, Rutgers University",
address = " New Brunswick, NJ"
}
@article{AdlerMonteiro,
author = {I. ADLER and R.D.C. Monteiro},
title = {A geometric view of parametric linear
programming},
journal = {Algorithmica},
volume = 8,
pages = {161-176},
year = 1992}
@article {AgHeMc:88,
author = "J. AGLER and J.W. HELTON and S. McCULLOUGH",
title = "Positive semidefinite matrices with a given
sparsity pattern",
journal = laa,
year = "1988",
volume = "107",
number = "3",
pages = "101-149"
}
@article{214841,
author = {Alpert, C.J. and Kahng, A.B.},
title = {Recent directions in netlist partitioning: a survey},
journal = {Integr. VLSI J.},
volume = {19},
number = {1-2},
year = {1995},
issn = {0167-9260},
pages = {1--81},
doi = {http://dx.doi.org/10.1016/0167-9260(95)00008-4},
publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
}
@PHDTHESIS {Alhom:93,
author = "S. Al-Homidan",
title = "Hybrid methods for optimization problems
with positive semidefinite matrix constraints",
institution = "University of Dundee",
year = "1993"}
@techreport {homidan:03,
author = "M.M. ALSHAHRANI and S. AL-HOMIDAN",
title = "New Formulations of the Hankel Matrix Approximation
Problem",
institution = "King Fahd University of Petroleum \& Minerals",
address = "Dhahran, Saudia Arabia",
year = "2003"
}
@article {homidan:06,
author = "S. AL-HOMIDAN and R. FLETCHER",
title = "Rationalizing Foot and Ankle
Measurements to Conform to a Rigid Body Model",
journal = "Computer Methods in
Biomechanics and Biomedical",
volume = "9",
number = "2",
pages = "103-111",
year = "2006"
}
@article {Alfak:00,
author = "A. ALFAKIH",
title = "Graph rigidity via {E}uclidean distance
matrices",
journal = laa,
year = "2000",
pages = "49-165",
number = "1-3",
volume = "310",
}
@PHDTHESIS {Al:91,
author = "F. Alizadeh",
title = "Combinatorial optimization with interior
point methods and semidefinite matrices",
institution = "University of Minnesota",
year = "1991"}
@INCOLLECTION {Al:92,
author = "F. Alizadeh",
title = "Optimization Over Positive Semi-Definite Cone;
Interior-Point Methods and Combinatorial Applications",
booktitle = "Advances in Optimization and
Parallel Computing",
publisher = "North--Holland",
year = "1992",
editor = "P.M. Pardalos",
pages = "1-25",
}
@techreport {Alizadehnotes:00,
author = "F. Alizadeh",
title = "Lecture Notes on semidefinite programming",
institution = "Rutgers University",
address = " Piscataway, NJ",
note = "URL: karush.rutgers.edu/\~{ }alizadeh/",
year = "2000"
}
@article {Al:94,
author = "F. Alizadeh",
title = "Interior point methods in semidefinite
programming with applications to combinatorial optimization",
journal = siopt,
volume="5",
pages = "13-51",
year = "1995"}
@INPROCEEDINGS {Aliz:92,
author = "F. Alizadeh",
title = "Combinatorial optimization with
semidefinite matrices",
year = "1992",
booktitle = "Proceedings of the Second Annual Integer
Programming and Combinatorial Optimization Conference",
address = "Carnegie-Mellon University"}
@article {MR1971381,
author = {Alizadeh, F. and Goldfarb, D.},
TITLE = {Second-order cone programming},
NOTE = {ISMP 2000, Part 3 (Atlanta, GA)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {95},
YEAR = {2003},
NUMBER = {1, Ser. B},
PAGES = {3--51},
ISSN = {0025-5610},
MRCLASS = {90C08 (90C25)},
MRNUMBER = {MR1971381 (2004j:90060)},
}
@article {Ma11,
author = {S. Ma and D. Goldfarb and L. Chen},
TITLE = {Fixed point and Bregman
iterative methods for matrix rank minimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {128},
YEAR = {2011},
NUMBER = {1-2},
PAGES = {3-21-353},
}
@INPROCEEDINGS {MobTahSotKhan:05,
author = "A. MOBASHER and M. TAHERZADEH and R. Sotirov and
A.K. KHANDANI",
title = "An efficient quasi-maximum likelihood decoding for
finite constellations",
year = "2005",
booktitle = "Conference on Information Sciences and Systems
(CISS)",
address = ""}
@TECHREPORT {Alizadeh:92,
author = "F. Alizadeh",
title = "Semidefinite programming: duality theory,
eigenvalue optimization and combinatorial applications",
year = "1992",
institution = "Stanford University",
note = " Presented at the Fourth SIAM Conference on
Optimization, 1992"
}
@inproceedings {AlHaOv:94,
author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton",
title = "A new primal-dual interior-point method for
semidefinite programming",
booktitle="Proceedings of the Fifth SIAM Conference on Applied Linear
Algebra",
editor = "J.G. Lewis",
year = "1994",
publisher = "SIAM",
pages = "113-117",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming"
}
@article {AlHaOv:95,
author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton",
title = "Complementarity and nondegeneracy in semidefinite
programming",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = mprog,
year = "1997",
volume = "77",
pages = "111-128"
}
@TechReport{AHNOS97,
author = {F.~Alizadeh and J.--P.~Haeberly and
M.V.~NAYAKKANKUPPAM and M.L.~Overton and
S.H. SCHMIETA},
title = {{SDP}pack User's Guide -- Version 0.9 {B}eta},
institution = {Courant Institute of Mathematical Sciences, NYU},
year = 1997,
number = {TR1997--737},
address = {New York, NY},
month = {June}
}
@TechReport{ASch:98,
author = {F.~Alizadeh and S.H. SCHMIETA},
title = {Optimization with Semidefinite, Quadratic and Linear
Constraints},
institution = {RUTCOR, Rutgers University},
year = 1997,
number = {RRR23--97},
address = {New Brunswick, NJ},
month = {November}
}
@TechReport{AlkireVanden:00,
author = {B. ALKIRE and L. Vandenberghe},
title = {Handling Nonnegative Constraints in Spectral
Estimation},
institution = {Electrical Engineering Department, UCLA},
year = {2000},
address = {Los Angeles, CA},
month = {October}
}
@TechReport{AlkireVanden:01,
author = {B. ALKIRE and L. Vandenberghe},
title = {Convex optimization problems involving finite
autocorrelation sequences},
institution = {Electrical Engineering Department, UCLA},
year = {2001},
address = {Los Angeles, CA},
month = {January}
}
@article {An, author = "T. ANDO",
title = "Concavity of certain maps and positive definite
matrices and applications to {H}adamard products",
journal = laa,
year = "1979",
volume = "26",
pages = "203-241"
}
@article {Ando:04, author = "T. ANDO",
title = "Cones and norms in the tensor product of matrix
spaces",
journal = laa,
year = "2004",
volume = "379",
pages = "3-41"
}
@article {MR95k:15023,
AUTHOR = {ANDO, T. and HIAI, F.},
TITLE = {Inequality between powers of positive semidefinite
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {208/209},
YEAR = {1994},
PAGES = {65--71},
ISSN = {0024-3795},
CODEN = {LAAPAW},
}
@book {AnjosLasserre:11,
editor = "A.F. Anjos and J.B. Lasserre",
series="International Series in Operations Research \& Management
Science",
vol ="166",
PAGES = {962 p.},
Publisher="Springer-Verlag",
booktitle ="Handbook on Semidefinite, Conic and Polynomial Optimization",
title ="Handbook on Semidefinite, Conic and Polynomial Optimization",
ISBN = {978-1-4614-0768-3},
URL =
{http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-0768-3},
year="2011"
}
@incollection{Mittelmann:11,
author = "H.D. Mittelmann",
title = "The State-of-the-Art in Conic Optimization Software",
number="2009-06",
series="International Series in Operations Research \& Management
Science",
vol ="166",
PAGES = {671--686},
Publisher="Springer-Verlag",
booktitle ="Handbook on Semidefinite, Cone and Polynomial
Optimization",
ISBN = {978-1-4614-0768-3},
URL =
{http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-0768-3},
year="2011"
}
@incollection{Engau:11,
author = "A Engau",
title = "Recent progress in interior-point methods: cutting-plane
algorithms and warm starts",
number="2009-06",
series="International Series in Operations Research \& Management
Science",
vol ="166",
PAGES = {471--498},
Publisher="Springer-Verlag",
booktitle ="Handbook on Semidefinite, Cone and Polynomial
Optimization",
ISBN = {978-1-4614-0768-3},
URL =
{http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-0768-3},
year="2011"
}
@article {ArbenzDrmac:02,
AUTHOR = {P. ARBENZ and Z. DRMAC},
TITLE = {On Positive Semidefinite Matrices with Known Null Space},
JOURNAL = simax,
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {24},
YEAR = {2002},
PAGES = {132--149},
number={1},
}
@techreport {ArmandGilbertJan:01,
author = "P. ARMAND and J.C. GILBERT and S. JAN",
title = "A {BFGS-IP} algorithm for solving strongly convex
optimization problems with feasibility enforced by an exact penalty
approach ",
institution = "INRIA Rocquencourt",
address = "BP 105, 78153 Le Chesnay Cedex (France)",
year = "2000",
eprint ="www.optimization-online.org/DB_HTML/2001/02/267.html",
}
@techreport {Aspremont:05,
author = "A. d'ASPREMONT",
title = "Smooth Optimization for Sparse Semidefinite Programs",
institution = "ORFE Dept., Princeton University",
address = "Princeton, NJ",
year = "2005",
eprint ="arxiv.org/abs/math/0512344"
}
@BOOK{am77,
AUTHOR= "L. AUSLANDER AND R. E. MACKENZIE",
TITLE = "Introduction to Differentiable Manifolds",
PUBLISHER = "Dover Publications, New York",
YEAR =1977 }
@BOOK{austeb:03,
AUTHOR= "A. AUSLANDER AND M. TEBOULLE",
TITLE = {Asymptotic cones and functions in optimization and
variational
inequalities},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2003},
PAGES = {xii+249},
ISBN = {0-387-95520-8},
MRCLASS = {49-02 (49J53 49K40 90C46)},
MRNUMBER = {MR1931309 (2003i:49002)},
MRREVIEWER = {Constantin Z{\u{a}}linescu},
}
@ARTICLE{asro78,
AUTHOR ="L. ASIMOW AND B. ROTH",
TITLE ="The rigidity of graphs",
JOURNAL="Trans. Amer. Math. soc.",
VOLUME=245 ,
PAGES ={279--289} ,
YEAR=1978 }
@InProceedings{NO96a,
author = {M.V.~NAYAKKANKUPPAM and M.L.~Overton},
title = {Primal--dual interior--point methods for
semidefinite programming},
booktitle = {Proceedings of the IEEE International Symposium on
Computer--Aided Control System Design},
year = 1996,
organization = {IEEE Control Systems Society},
month = {September},
pages = {235--239}
}
@TechReport{NO97a,
author = {M.V.~NAYAKKANKUPPAM and M.L.~Overton},
title = {Conditioning of semidefinite programs},
institution = {Courant Institute of Mathematical Sciences, NYU},
year = 1997,
address = {New York, NY},
month = {March},
}
@article {MR2000f:90046,
author = {M.V.~NAYAKKANKUPPAM and M.L.~Overton},
TITLE = {Conditioning of semidefinite programs},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {85},
YEAR = {1999},
NUMBER = {3, Ser. A},
PAGES = {525--540},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C31)},
MRNUMBER = {2000f:90046},
MRREVIEWER = {Levent Tun{\c{c}}el},
}
@book {MR2724357,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {Polyhedral and semidefinite programming methods in
combinatorial optimization},
SERIES = {Fields Institute Monographs},
VOLUME = {27},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2010},
}
@article {MR1928943,
AUTHOR = {Andersen, E.D. and Roos, C. and Terlaky, T.},
TITLE = {Notes on duality in second order and {$p$}-order cone
optimization},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {51},
YEAR = {2002},
NUMBER = {4},
PAGES = {627--643},
ISSN = {0233-1934},
MRCLASS = {90C46 (90C08)},
MRNUMBER = {MR1928943 (2003j:90074)},
MRREVIEWER = {Carla Durazzi},
DOI = {10.1080/0233193021000030751},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/0233193021000030751},
}
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journal = lama,
year = "1978",
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@techreport {Ans:98,
author = "K.M. Anstreicher",
title = "On the equivalence of convex programming bounds for
{B}oolean quadratic programming",
institution = "University of Iowa",
address = " Iowa City, IA",
year = "1998"
}
@article {MR2004391,
AUTHOR = {Anstreicher, K.M.},
TITLE = {Recent advances in the solution of quadratic assignment
problems},
NOTE = {ISMP, 2003 (Copenhagen)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {97},
YEAR = {2003},
NUMBER = {1-2, Ser. B},
PAGES = {27--42},
ISSN = {0025-5610},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {MR2004391 (2005m:90094)},
}
@article {Ans:99,
author = "K.M. Anstreicher",
TITLE = {Eigenvalue bounds versus semidefinite relaxations for
the quadratic assignment problem},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {11},
YEAR = {2000},
NUMBER = {1},
PAGES = {254--265 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR1785650 (2001i:90066)},
MRREVIEWER = {Marcos Raydan},
}
@article {AnsBrix:99,
AUTHOR = {Anstreicher, K.M. and Brixius, N.W.},
TITLE = {A new bound for the quadratic assignment problem based on
convex quadratic programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2001},
NUMBER = {3, Ser. A},
PAGES = {341--357},
ISSN = {0025-5610},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {2001j:90057},
MRREVIEWER = {Marcos Raydan},
}
@article {BrixiusAnstr:01,
AUTHOR = {Brixius, N.W. and Anstreicher, K.M.},
TITLE = {Solving quadratic assignment problems using convex
quadratic programming relaxations},
NOTE = {Dedicated to Professor Laurence C. W. Dixon on the
occasion of his 65th birthday},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {16},
YEAR = {2001},
NUMBER = {1-4},
PAGES = {49--68},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {1869974 (2002h:90056)},
DOI = {10.1080/10556780108805828},
URL = {http://dx.doi.org/10.1080/10556780108805828},
}
@article {AnsBrixGouLind:04,
AUTHOR = {Anstreicher, K.M. and Brixius, N.W. and GOUX, J.-P. and
LINDEROTH, J.},
TITLE = {Solving large quadratic assignment problems on
computational grids},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {91},
YEAR = {2002},
NUMBER = {3, Ser. A},
PAGES = {563--588},
ISSN = {0025-5610}
}
@article {AnstVial:94,
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journal = oms,
year = "1994",
volume = "3",
pages = "273-283"
}
%BBBBBBBBBBBBBBBBBBBBBBBB
@inproceedings {Bachoc10,
AUTHOR = {C. Bachoc},
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BOOKTITLE = {Proceedings of {ITW}},
PAGES = {},
PUBLISHER = {IEEE Xplore},
ADDRESS = {Dublin},
YEAR = {2010},
}
@Article\{BS09,
author = "Bonnabel, Silv\`ere and Sepulchre, Rodolphe",
title = "Riemannian Metric and Geometric Mean for Positive
Semidefinite Matrices of Fixed Rank ",
journal = "SIAM. J. Matrix Anal. \& Appl.",
number = "3",
volume = "31",
pages = "1055--1070",
month = "August",
year = "2009",
url =
"http://www.montefiore.ulg.ac.be/services/stochastic/pubs/2009/BS09"
}
@incollection {MR1450160,
AUTHOR = {BA{\v{C}}{\'I}K, R. and MAHAJAN, S.},
TITLE = {Semidefinite programming and its applications to {N}{P}
problems},
BOOKTITLE = {Computing and combinatorics (Xi'an, 1995)},
PAGES = {566--575},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {959},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
}
@inproceedings {fazelhindiboyd:01,
AUTHOR = {M. Fazel and H. HINDI and S.P. Boyd},
TITLE = {A rank minimization heuristic with application to minimum
order system approximation},
BOOKTITLE = {Proceedings American Control Conference},
PAGES = {4734-4739},
PUBLISHER = {},
ADDRESS = {},
YEAR = {2001},
}
@article{FaHiBo:03,
AUTHOR = {M. Fazel and H. HINDI and S.P. Boyd},
Journal = {American Control Conference, 2003. Proceedings of
the 2003},
Month = {June},
Pages = {2156-2162},
Title = {Log-det heuristic for matrix rank minimization with
applications to {H}ankel and {E}uclidean distance matrices},
Volume = {3},
Year = {2003}}
@article {MR95j:65043,
AUTHOR = {Balakrishnan, V. and Boyd, S.},
TITLE = {Existence and uniqueness of optimal matrix scalings},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
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YEAR = {1995},
NUMBER = {1},
PAGES = {29--39},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F35 (15A12 15A60)},
MRNUMBER = {95j:65043},
MRREVIEWER = {A. Barraud},
}
@book{BaF:96,
editor ={V. Balakrishnan and E. FERON},
TITLE = {Linear matrix inequalities in control theory and
applications},
NOTE = {Internat. J. Robust Nonlinear Control {\bf 6} (1996), no.
9-10},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1996},
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%FACES of CONE faces of cones
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%CCCCCC
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%DDDDDDDDDDDDDDDDDDDDDDD
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%EEEEEEEEEEEEE
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% GGGGGGG
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# From MathSci search
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%IIIIIIIIIIIIIIIIIIII
@preamble{
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@techreport {KoKoHa:94,
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@techreport {Zhang:07,
author = "Q. Zhang",
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@techreport{AlipKrislockGhodsi:10,
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########################Noisy EDM papers
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Volume = {30},
Year = {2008}}
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Year = {2006}}
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keywords = "semidefinite programming;
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year = "2006"}
@techreport {krishnanmitchell:01,
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title = "A Linear Programming Approach to Semidefinite
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institution = "Department of Mathematical Sciences,
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keywords = "semidefinite programming;
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year = "2001"}
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%LLLLL
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year = "2007",
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number = "arXiv:0901.1821v3",
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@techreport {Henrion:08,
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@techreport {HenrionLasserre:10,
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year = "2010",
number = "arxiv.org\/abs\/1003.4608",
institution= "LAAS,Fel-Cvut",
address = ""
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@TECHREPORT {Lass:00,
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institution = "LAAS-CNRS",
year = "2000",
type = "LAAS Research Report",
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YEAR = {1997},
PAGES = {347--366},
ISSN = {0024-3795},
CODEN = {LAAPAW},
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@TECHREPORT {LiRe:99,
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institution = "Dept. Math., National Univ. of Singapore",
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%NNNNNNNNNNNNNNNNNNN
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%OOOOOOOOOOOOOOOOOO
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%QQQQQQQQQQQQQQQQQQ
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------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
%SSSSSSSSSSS
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Date-Added = {2014-08-05 16:33:06 -0400},
Date-Modified = {2014-08-05 16:33:24 -0400},
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%VVVVVVVVVVVVVVV
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% WWWWWWWWWWWWWWWWWWWWWw
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% YYYYYYYYYYYYYYYY
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MRCLASS = {90C31 (90C05)},
MRNUMBER = {2003d:90107},
MRREVIEWER = {Sven-{\AA}ke Gustafson},
}
@article {MR2002c:90079,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. Alper and Todd, Michael J.},
TITLE = {Sensitivity analysis in linear programming and
semidefinite
programming using interior-point methods},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {90},
YEAR = {2001},
NUMBER = {2, Ser. A},
PAGES = {229--261},
ISSN = {0025-5610},
MRCLASS = {90C31 (90C22 90C51)},
MRNUMBER = {2002c:90079},
MRREVIEWER = {Shu Zhong Zhang},
}
@article{YildTodd:99,
author = "E.A. YILDIRIM and M.J. Todd",
title = "Sensitivity analysis in linear programming and semidefinite
programming using interior-point methods",
year = "2001",
number = "2",
journal = mprog,
volume = "90",
pages ="229-261",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@techreport{Yild:01,
author = "E.A. YILDIRIM",
title = "An Interior-Point Perspective on Sensitivity Analysis in
Semidefinite Programming",
year = "2001",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@article {Yild:04,
AUTHOR = {YILDIRIM, E.A.},
TITLE = {Unifying optimal partition approach to sensitivity
analysis in conic optimization},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {122},
YEAR = {2004},
NUMBER = {2},
PAGES = {405--423},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C31 (90C05 90C22)},
MRNUMBER = {MR2093850 (2005e:90134)},
MRREVIEWER = {I. M. Stancu-Minasian},
}
% ZZZZZZZZZZZZZZZZZZ
@techreport {Zalinescu:10,
AUTHOR = {Z{\u{a}}linescu, Constantin},
title = "On duality gap in linear conic problems",
institution = "University of Al. I. Cusa",
URL="http://www.optimization-online.org/DB_HTML/2010/09/2737.html",
year = "2010",
address = "Iasi, Romania"
}
@article {MR2464656,
AUTHOR = {Z{\u{a}}linescu, Constantin},
TITLE = {On zero duality gap and the {F}arkas lemma for conic
programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {33},
YEAR = {2008},
NUMBER = {4},
PAGES = {991--1001},
ISSN = {0364-765X},
MRCLASS = {90C48 (90C05 90C34 90C46 91B28)},
MRNUMBER = {2464656 (2009j:90140)},
MRREVIEWER = {R. Tichatschke},
DOI = {10.1287/moor.1080.0339},
URL = {http://dx.doi.org/10.1287/moor.1080.0339},
}
@TECHREPORT {Zhang:95,
author = "Y. Zhang",
title = "Basic equalities and inequalities in primal-dual
interior-point methods for semidefinite programming",
institution = "Department of Mathematics and Statistics,
University of Maryland Baltimore County",
keywords = "semidefinite programming; cone programming;
sdp;
coneprog",
year = "1995"}
@article {MR89b:15040,
AUTHOR = {Zhang, F. Z.},
TITLE = {On the best {E}uclidean fit to a distance matrix},
JOURNAL = {Beijing Shifan Daxue Xuebao},
FJOURNAL = {Beijing Shifan Daxue Xuebao. Ziran Kexue Ban. Journal of
Beijing Normal University (Natural Science)},
YEAR = {1987},
VOLUME = {4},
PAGES = {21--24},
ISSN = {0476-0301},
}
@article{Zhu:2010,
Author = {Z. Zhu and A. M.-C. So and Y. Ye},
Journal = {SIAM J. Optim.},
Number = {6},
Pages = {3059-3081},
Title = {Universal Rigidity and Edge Sparsification for Sensor
Network Localization},
Volume = {20},
Year = {2010}}
@article {ZhuCosBeas:03,
AUTHOR = {Z. ZHU and D.C. COSTER and L.B. BEASLEY},
TITLE = {Properties of a Covariance Matrix with an Application
to {D}-optimal Design},
JOURNAL = ela,
YEAR = {2003},
VOLUME = {10},
PAGES = {65--76},
}
@techreport {Ziegler:99,
author = "G.M. ZIEGLER",
title = "Lectures on 0/1-polytopes",
institution = "Technische Universitat Berlin",
year = "1999",
address = "Berling, Germany"
}
@ARTICLE {Zieb:98,
author = "A.D. ZIEBUR",
title = "Chain rules for functions of matrices",
journal = laa,
year = "1998",
volume = "283",
pages = "87-97"}
@TECHREPORT {ZoBySch:96,
author = "Z. ZOU and R.H. BYRD and R.B. SCHNABEL",
title = "A stochastic/perturbation global optimization
algorithm for distance geometry problems",
institution = "Dept. of Computer Science, University of
Colorado",
year = "1996",
address = "Boulder, Co"}
@article {MR2219133,
AUTHOR = {Zuluaga, L.F. and Vera, J. and Pe{\~n}a, J.},
TITLE = {L{MI} approximations for cones of positive semidefinite
forms},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {16},
YEAR = {2006},
NUMBER = {4},
PAGES = {1076--1091 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C25 90C30 90C34)},
MRNUMBER = {MR2219133 (2006m:90121)},
MRREVIEWER = {Didier Henrion},
}
# distance matrix references
@INCOLLECTION{lh82,
AUTHOR ="J. De Leeuw and W. Heiser",
EDITOR ="P. R. Krishnaiah and L. N. Kanal",
TITLE ="Theory of multidimensional scaling",
BOOKTITLE ="Handbook of Statistics",
PUBLISHER ="North-Holland",
PAGES ={ 285--316} ,
YEAR=1982,
VOLUME =2 }
@ARTICLE{cri88,
AUTHOR ="F. Critchley",
TITLE ="On certain linear mappings between inner-product and squared distance
matrices",
JOURNAL=laa,
VOLUME=105 ,
PAGES ={91--107} ,
YEAR=1988 }
@ARTICLE{hwlt91,
AUTHOR ="Hayden, T.L. and Wells, J. and Liu, W.M. and Tarazaga, P.",
TITLE ="The cone of distance matrices",
JOURNAL=laa,
VOLUME=144,
PAGES ={153--169} ,
YEAR=1991 }
##### bib entries from Levent Tuncel follow
##### This will cause duplication which will be straightened out later
@article {MR2003j:90035,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {On the finite convergence of successive {SDP} relaxation
methods},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {325--341},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2003j:90035},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1932386,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Some fundamental properties of successive convex
relaxation
methods on {LCP} and related problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {24},
YEAR = {2002},
NUMBER = {3},
PAGES = {333--348},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C33 (90C09 90C11 90C20 90C48)},
MRNUMBER = {1 932 386},
MRREVIEWER = {Panos M. Pardalos},
}
@article {MR2002e:90070,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Discretization and localization in successive convex
relaxation methods for nonconvex quadratic optimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2000},
NUMBER = {1, Ser. A},
PAGES = {79--111},
ISSN = {0025-5610},
MRCLASS = {90C26 (90C08 90C34 90C51)},
MRNUMBER = {2002e:90070},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@article {AlHaOv:98,
author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton",
title = "Primal-dual interior-point methods for
semidefinite programming: Convergence rates, stability and numerical results",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "746-768"
}
@book{FarautKoranyi:94,
author = "J. FARAUT and A. KORANYI",
title = "Analysis on Symmetric Cones",
year = "1994",
series = "",
publisher = "Oxford University Press",
address = "NY, USA"
}
@book{FiaccoMcCormick:90,
author = "A.V. FIACCO and G.P. McCORMICK",
title = "Nonlinear programming sequential unconstrained
minimization techniques",
year = "1990",
series = "Classics in Applied Mathematics",
publisher = "SIAM",
address = "Philadelphia, PA, USA"
}
@techreport {Frisch:55,
author = "K.R. FRISCH",
title = "The logarithmic potential method of
convex programming",
institution = "Institute of Economics, Oslo University",
year = "1955",
address = "Oslo, Norway"
}
@article {GonzagaTodd:92,
author = "C.C. GONZAGA and M.J. Todd",
title = "An {O}$(\sqrt{n}{L})$-iteration
large-step primal-dual affine algorithm for linear
programming",
journal = siopt,
year = "1992",
volume = "2",
pages = "349-359"
}
@article {Guler:96,
author = "O. G{\" U}LER",
title = "Barrier functions in interior point
methods",
journal = mor,
year = "1996",
volume = "21",
pages = "860-885"
}
@article {Guler:97,
author = "O. G{\" U}LER",
title = "Hyperbolic polynomials and
interior point methods for convex programming",
journal = mor,
year = "1997",
volume = "22",
pages = "350-377"
}
@techreport {Guler:98,
author = "O. G{\" U}LER",
title = "Private communication",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "January 1998"
}
@techreport {GulerTuncel:97,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
title = "Manuscript",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "1997"
}
@article {GulerTuncel:98,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
TITLE = {Characterization of the barrier parameter of homogeneous
convex cones},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {81},
YEAR = {1998},
NUMBER = {1, Ser. A},
PAGES = {55--76},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C30 (49M30)},
MRNUMBER = {MR1617693 (99f:90124)},
MRREVIEWER = {Guillermo L. Hansen},
}
@article {Karmarkar:84,
author = "N.K. KARMARKAR",
title = "A new polynomial time algorithm for
linear programming",
journal = "Combinatorica",
year = "1984",
volume = "4",
pages = "373-395"
}
@book{KMNY:91,
author = "M. Kojima and N. MEGIDDO and T. NOMA and A. YOSHISE",
title = "A Unified Approach to
Interior Point Algorithms for Linear Complementarity Problems",
year = "1991",
series = "Lecture Notes in Computer Science",
publisher = "Springer-Verlag",
address = "NY, USA"
}
@article {KMY:89,
author = "M. Kojima and S. MIZUNO and A. YOSHISE",
title = "A polynomial time
algorithm for a class of linear complementarity problems",
journal = mprog,
year = "1989",
volume = "44",
pages = "1-26"
}
@article {KMY:91,
author = "M. Kojima and S. MIZUNO and A. YOSHISE",
title = "An {O}${(\sqrt{n}{L})}$ iteration
potential reduction algorithm for
linear complementarity problems",
journal = mprog,
year = "1991",
volume = "50",
pages = "331-342"
}
@techreport {KoShSh:96,
author = "M. Kojima and M. Shida and S. Shindoh",
TITLE = {A note on the {N}esterov-{T}odd and the {K}ojima-{S}hindoh-{H}ara
search directions in semidefinite programming},
note = "To appear in Optim. Methods Softw.",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
year = "1999"
}
@article{KoShSh:99,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Search directions in the {SDP} and the monotone {SDLCP}:
generalization and inexact computation",
journal = mprog,
volume = "85",
pages = "51--80",
year = "1999"
}
@article {KojimaTuncel:98,
author = "M. Kojima and L. TUN{\c{C}}EL",
title = {Monotonicity of primal-dual
interior-point algorithms for
semidefinite programming problems},
JOURNAL = oms,
VOLUME = {10},
YEAR = {1998},
PAGES = {275-296},
}
@article {Lim:79,
author = "M.H. LIM",
TITLE = {Linear transformations on symmetric matrices},
JOURNAL = {Linear and Multilinear Algebra},
VOLUME = {7},
YEAR = {1979},
PAGES = {47-57},
}
@article {MarcusMoyls:59,
author = "M. MARCUS and B.N. MOYLS",
TITLE = {Linear transformations on algebras of matrices},
JOURNAL = {Canadian J. Math.},
VOLUME = {11},
YEAR = {1959},
PAGES = {61-66}
}
@inproceedings{Megiddo:88,
author = "N. MEGIDDO",
title = "Pathways to the optimal set in linear programming",
booktitle = "Progress in Mathematical Programming,
Interior Point and Related Methods",
editor="N. Megiddo",
Publisher="Springer-Verlag",
year ={1988} }
@article {MKT:95,
author = "S. MIZUNO and M. Kojima and M.J. Todd",
title = {Infeasible-interior-point primal-dual potential-reduction
algorithms for linear programming},
JOURNAL = siopt,
VOLUME = {5},
YEAR = {1995},
PAGES = {52-67},
}
@article {MR2004397,
author = "R.D.C. Monteiro",
TITLE = {First- and second-order methods for semidefinite
programming},
NOTE = {ISMP, 2003 (Copenhagen)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {97},
YEAR = {2003},
NUMBER = {1-2, Ser. B},
PAGES = {209--244},
ISSN = {0025-5610},
MRCLASS = {90C22},
MRNUMBER = {MR2004397 (2004j:90077)},
MRREVIEWER = {Franz Rendl},
}
@article {MonteiroAdler:89,
author = "R.D.C. Monteiro and I. ADLER",
TITLE = {Interior path following
primal-dual algorithms. {Part I: Linear programming}},
JOURNAL = mprog,
VOLUME = {44},
YEAR = {1989},
PAGES = {27-42},
}
@article {MonteiroAdler:89a,
author = "R.D.C. Monteiro and I. ADLER",
TITLE = "Interior path following primal-dual algorithms.
{Part II: Convex quadratic programming}",
JOURNAL = mprog,
VOLUME = {44},
YEAR = {1989},
PAGES = {43-66},
}
@techreport{Nemirovski:97,
author = "A.S. Nemirovski",
title = "On Normal
Self-concordant barriers and long-step
interior point methods",
year = "1997",
institution = "Faculty of Industrial Engineering,
Institute of Technology, Technion",
address = "Haifa, ISRAEL"
}
@article {Nesterov:97,
author = "Y.E. Nesterov",
title={Long-step strategies in interior-point
primal-dual methods},
journal=mprog,
pages = "47-94",
volume = "76",
year={1997}
}
@article {NesterovTodd:97,
author = "Y.E. Nesterov and M.J. Todd",
TITLE = {Self-scaled barriers and interior-point methods for convex
programming},
JOURNAL = mor,
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {22},
YEAR = {1997},
NUMBER = {1},
PAGES = {1--42},
ISSN = {0364-765X},
}
@article {NesterovTodd:98,
author = "Y.E. Nesterov and M.J. Todd",
title={Primal-dual interior-point methods
for self-scaled cones},
journal=siopt,
pages = "324-364",
volume = "8",
year={1998}
}
@book{Rockafellar:70,
author = "R.T. Rockafellar",
TITLE = {Convex analysis},
SERIES = {Princeton Landmarks in Mathematics},
NOTE = {Reprint of the 1970 original,
Princeton Paperbacks},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1997},
PAGES = {xviii+451},
ISBN = {0-691-01586-4},
MRCLASS = {49-02 (26-02 46-02 58-02 90-02)},
MRNUMBER = {MR1451876 (97m:49001)},
}
@book{Rocka:70,
author = "R.T. Rockafellar",
TITLE = {Convex analysis},
SERIES = {Princeton Landmarks in Mathematics},
NOTE = {Reprint of the 1970 original,
Princeton Paperbacks},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1997},
PAGES = {xviii+451},
ISBN = {0-691-01586-4},
MRCLASS = {49-02 (26-02 46-02 58-02 90-02)},
MRNUMBER = {MR1451876 (97m:49001)},
}
@article {Rothaus:60,
author = "O.S. ROTHAUS",
title={Domains of positivity},
journal={Abh. Math. Sem. Univ. Hamburg},
pages = "189-235",
volume = "24",
year={1960}
}
@article {SeifiTuncel:98,
author = "A. SEIFI and L. TUN{\c{C}}EL",
title={A constant-potential infeasible-start
interior-point algorithm with computational experiments
and applications},
journal=coap,
pages = "107-152",
volume = "9",
year={1998}
}
@article {SturmZhang:95,
author = "J.F. Sturm and S. Zhang",
title={Symmetric primal-dual path following algorithms
for semidefinite programming},
journal=apnum,
year={1999},
volume = 29,
pages = {301--315}
}
@techreport{Tanabe:87,
author = "K. TANABE",
title = "Complementarity-enforcing centered {Newton} method for
linear programming: {Global} methods",
type = "Manuscript at the Symposium {``New Methods for Linear
Programming''}",
institution = "The Institute of Statistical Mathematics",
address = "4-6-7 Minamiazabu, Minatoku, Tokyo, Japan 106",
year = "1987",
note = "Title of revised version is: Complementarity-enforcing
centered {Newton} method for mathematical programming:
Global method"
}
@inproceedings{Tanabe:88,
author = "K. TANABE",
title = {Centered {N}ewton method for mathematical
programming},
booktitle = "System Modeling and Optimization",
editors="M. IRI and K. YAJIMA",
Publisher="Springer-Verlag",
pages = "197--206",
year = "1988",
address = "NY, USA"
}
@article {MR2294049,
AUTHOR = {Toh, K. C. and T{\"u}t{\"u}nc{\"u}, R. H. and Todd, M.
J.},
TITLE = {Inexact primal-dual path-following algorithms for a
special
class of convex quadratic {SDP} and related problems},
JOURNAL = {Pac. J. Optim.},
FJOURNAL = {Pacific Journal of Optimization. An International
Journal},
VOLUME = {3},
YEAR = {2007},
NUMBER = {1},
PAGES = {135--164},
ISSN = {1348-9151},
MRCLASS = {90C22 (65K10 90C51)},
MRNUMBER = {2294049 (2007i:90057)},
MRREVIEWER = {Didier Henrion},
}
@article {MR1976479,
AUTHOR = {T{\"u}t{\"u}nc{\"u}, R. H. and Toh, K. C. and Todd, M.
J.},
TITLE = {Solving semidefinite-quadratic-linear programs using
{SDPT}3},
NOTE = {Computational semidefinite and second order cone
programming:
the state of the art},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {95},
YEAR = {2003},
NUMBER = {2, Ser. B},
PAGES = {189--217},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C20)},
MRNUMBER = {1976479 (2004c:90036)},
DOI = {10.1007/s10107-002-0347-5},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-002-0347-5},
}
@article{ToddTohTut:98,
author = "M.J. Todd and K.C. Toh and R.H. {T\"{u}t\"{u}nc\"{u}}",
title = "On the {N}esterov-{T}odd direction in semidefinite programming",
journal=siopt,
pages = "769-796",
volume = "8",
number = "3",
year={1998}
}
@article{ToddYe:90,
author = "M.J. Todd and Y. Ye",
title = "A centered projective algorithm for linear
programming",
journal=mor,
pages = "508-529",
volume = "15",
year={1990}
}
@article{Tuncel:94,
author = "L. TUN{\c{C}}EL",
title={Constant potential primal-dual algorithms:
A framework},
journal=mprog,
pages = "145-159",
volume = "66",
year={1994}
}
@article{Tuncel:98a,
author = "L. TUN{\c{C}}EL",
title={Primal-dual symmetry and scale invariance of
interior-point algorithms for convex optimization},
journal=mor,
pages = "708-718",
volume = "23",
year={1998}
}
@techreport {Tuncel:98b,
AUTHOR = "L. TUN{\c{C}}EL",
TITLE = "Lecture Notes on
``{C}onvex Optimization: Barrier Functions and
Interior-Point Methods''",
number = "B-336",
institution = "Department of Mathematical
and Computing Sciences, Tokyo Institute of Technology",
address = "Tokyo, Japan",
year = {1998}}
@inproceedings{Tuncel:99,
author = "L. TUN{\c{C}}EL",
title = {Interior-point methods for semidefinite programming},
booktitle = "Encyclopedia of Optimization",
editors="C.A. FLOUDAS and P.M. Pardalos",
Publisher="Kluwer Academic Publishers",
year = "1999",
address = "MA, USA"
}
@article{TuncelTodd:97,
author = "L. TUN{\c{C}}EL and M.J. Todd",
title = "On the interplay among entropy, variable metrics and
potential functions in interior-point algorithms",
journal=coap,
pages = "5-19",
volume = "8",
year={1997}
}
@article {Waterhouse:89,
author={W.C. WATERHOUSE},
title={Linear transformations preserving
symmetric rank one matrices},
journal={Journal of Algebra},
volume = {125},
pages = {502-518},
year={1989}
}
@article {Ye:91,
author={Y. Ye},
title={An {O}$(n^3 {L})$ potential reduction
algorithm for linear programming},
journal=mprog,
volume = {50},
pages = {239-258},
year={1991}
}
##### From Oustry-Helmberg
@BOOK{AMR:88,
AUTHOR = {R. ABRAHAM and J.E. MARSDEN and T. RATIU},
NOTE = {Second edition},
PUBLISHER = SV,
SERIES = {Applied Mathematical Sciences},
TITLE = {Manifolds, Tensor Analysis, and Applications},
VOLUME = {75},
YEAR = {1988},
SIGNATURE = {francois O.},
LOCATION = {biblio INRIA : G1227}
}
@ARTICLE{FNO:87,
AUTHOR = {S. Friedland and J. Nocedal and M.L. Overton},
TITLE = {The formulation and analysis of numerical methods for
inverse
eigenvalue problems},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {24},
YEAR = {1987},
NUMBER = {3},
PAGES = {634--667},
ISSN = {0036-1429},
CODEN = {SJNAAM},
}
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###from Dimitris Bertsimis
### strings moved to .master.bib
% BiBTeX data base for Concurent mapping and localisation
%--------------------------------------------------------------------
%% bibtextfile{
%% author = "Ioana Popescu",
%% version = "1.0",
%% date = "February 7, 1998",
%% filename = "cml.bib",
%% address = "OR Center Rm. E40-130
%% MIT, 77 Mass. Ave,
%% Cambridge, MA 02139, USA",}
%---------------------------------------------------------------------
%------------------------- Moments / Chebyshev ---------------------------
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%------------------------- Optimization ---------------------------------
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%------------------------ Approximation Algorithms ----------------------
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%------------------------ Complexity ------------------------------
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%------------------------ Finance -----------------------------
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%---------------------- Inventory -------------------------------------
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%-------------------------------Queueing-------------------------------------
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##### From Jarre bbl file in Convex paper
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## from deKlerk et al start
@inproceedings{int:deklerk7,
author = {de Klerk, E. and C. Roos and T. Terlaky},
title = {Infeasible--start semidefinite programming algorithms via self--dual
embeddings},
editors = {P.~M. Pardalos and H.~Wolkowicz},
booktitle = {Topics in
Semidefinite and Interior-Point Methods},
volume = {18},
series = {The Fields Institute for Research in Mathematical Sciences,
Communications Series},
pages = {215--236},
publisher = {American Mathematical Society},
year = {1998}
}
@inproceedings {int:Deklerk5,
author = {de Klerk, E. and C. Roos and T. Terlaky},
title = {On primal--dual path--following algorithms in semidefinite
programming},
editors = {F.~Giannessi, S.~Koml\'{o}si, and T.~Rapcs\'{a}k},
booktitle = {New trends in Mathematical Programming},
pages = {137--157},
publisher = {Kluwer Academic Publishers},
address = {Dordrecht, The Netherlands},
year = {1998}
}
@techreport {Illes98,
author = {T.~ILL{\'E}S and J.~Peng and C.~Roos and and T.~Terlaky},
title = {A strongly polynomial rounding procedure yielding a maximally
complementary solution for {P}$^*(\kappa)$ linear complementarity problems},
number = {98--15},
institution = {Faculty of Technical Mathematics and
Computer Science},
address = {Delft University of Technology, Delft, The Netherlands},
year = {1998}
}
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author = {J.~JIANG},
TITLE = {A long-step primal-dual path-following method for
semidefinite
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VOLUME = {23},
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CODEN = {ORLED5},
MRCLASS = {90C25 (90C08)},
MRNUMBER = {99i:90071},
MRREVR = {Michael L. Dowling},
}
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author = {M. Kojima and M. Shida and S. Shindoh},
title = {A predictor-corrector interior point algorithm for the semidefinite
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author = {M.V. Ramana and P.M. Pardalos},
title = {Semidefinite programming},
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pages = {369--398},
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year = {1996}
}
@techreport{int:Stoer2,
author = {J.~STOER and M.~WECHS},
title = {Infeasible-interior-point paths for sufficient linear complementarity
problems and their analyticity},
note = {Manuscript},
institution = {Institut f\"ur Angewandte Mathematik und Statistik},
address = {Universit\"at W\"urzburg, W\"urzburg, Germany},
year = {1996}
}
## from deKlerk et al end
## from Mike Todd et al beginning
%Henry, I've been doing some work on cleaning up our chapter, though
%the text is much the same as what you have. In particular, I've been
%preparing a bib file. This has some additions to your master list,
%as well as some updates (marked by %%**). It's included below.
@techreport {Ko:95,
author = "M. Kojima",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
title = "Private communication",
year = "1995"
}
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author = "R.D.C. Monteiro",
title = "Polynomial convergence of primal-dual algorithms for
semidefinite programming based on the {Monteiro and Zhang}
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journal = siopt,
year = "1998",
volume = "8",
pages = "797-812"
}
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author = "R.D.C. Monteiro and T. TSUCHIYA",
title = "Polynomiality of Primal-Dual algorithms for semidefinite
Linear
Complementarity Problems Based on the {Kojima-Shindoh-Hara}
Family of Directions",
journal = mprog,
volume = "84",
year = "1999",
pages = "39--53"
}
@techreport{lupong:10,
AUTHOR = "Z. Lu and T.K. Pong",
Title = {Minimizing condition number via convex
programming},
institution = {University of Washington},
address = {Seattle, WA},
number = {},
Year = 2010}
@techreport{pongtseng:09,
AUTHOR = "T.K. Pong and P. Tseng",
Title = {({R}obust) edge-based semidefinite programming
relaxation of sensor network localization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Jan-09},
Year = 2009}
@article{Pong:2010,
Author = {Pong, T. AND Tseng, P.},
Journal = {Mathematical Programming},
Title = {({R}obust) {E}dge-based semidefinite programming relaxation of sensor network localization},
Year = {2010},
}
@techreport{Pong:2009,
AUTHOR = "T.K. Pong and P. Tseng",
Title = {({R}obust) edge-based semidefinite programming
relaxation of sensor network localization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Jan-09},
Year = 2009}
@techreport{tseng:96,
AUTHOR = "P. Tseng",
Title = {FURTHER NOTES ON THE EXISTENCE OF SEARCH
DIRECTIONS IN INTERIOR-POINT METHODS FOR THE MONOTONE SEMI-DEFINITE
{LCP}},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-96},
Year = 1996}
@techreport{tseng:04,
AUTHOR = "P. Tseng",
Title = {{SOCP} relaxation for nonconvex optimization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-04},
note = "presented at ICCOPT I, RPI, Troy, NY",
Year = 2004}
@article{Tse:98,
AUTHOR = "P. Tseng",
TITLE = "Search directions and convergence
analysis of some infeasible path-following methods
for the monotone semi-definite {LCP}",
journal=oms,
pages = "245-268",
volume = "9",
year={1998}
}
@article{Tsengsiam:05,
AUTHOR = {Tseng, P.},
TITLE = {Second-order cone programming relaxation of sensor network
localization},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {18},
YEAR = {2007},
NUMBER = {1},
PAGES = {156-185},
}
@article{Tseng:2007,
AUTHOR = {Tseng, P.},
TITLE = {Second-order cone programming relaxation of sensor network
localization},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {18},
YEAR = {2007},
NUMBER = {1},
PAGES = {156-185},
}
@article{YZha:98,
author = "Y. Zhang",
title = "On extending some primal-dual interior-point algorithms
from linear programming to semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "365-386"
}
## from Mike Todd et al end
## from Ragu et al end
#
@phdthesis{biswasphd07,
author="P. Biswas",
title="Semidefinite programming approaches to distance geometry
problems",
institution="Stanford University",
address="Stanford, CA",
year="2007"
}
@inproceedings{ ElB:94,
author={L. {EL~GHAOUI} and V. BALAKRISHNAN},
title={{S}ynthesis of Fixed-structure Controllers
via Numerical Optimization},
booktitle=cdc,
month=dec,
year={1994},
pages={2678-2683},
}
## from Ragu et al end
###From Laurent:
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author = {MULVEY, J.M. and Vanderbei, R.J. and ZENIOS, S.A.},
title = {Robust optimization of large-scale systems},
journal = {Operations Research},
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pages = {264-281},
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@article{BNWP,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
TITLE = {Robust convex optimization},
JOURNAL = mor,
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {23},
YEAR = {1998},
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ISSN = {0364-765X},
}
@article{RLP,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
TITLE = {Robust solutions of uncertain linear programs},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {25},
YEAR = {1999},
NUMBER = {1},
PAGES = {1--13},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C05 (90C31)},
MRNUMBER = {2001i:90037},
}
@article {MR1905762,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
TITLE = {Robust optimization---methodology and applications},
NOTE = {ISMP 2000, Part 2 (Atlanta, GA)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {92},
YEAR = {2002},
NUMBER = {3, Ser. B},
PAGES = {453--480},
ISSN = {0025-5610},
MRCLASS = {90C25 (90C31)},
MRNUMBER = {MR1905762 (2003d:90074)},
MRREVIEWER = {Stephan Dempe},
}
@article {MR2001h:90038,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.},
TITLE = {Robust solutions of linear programming problems
contaminated
with uncertain data},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {88},
YEAR = {2000},
NUMBER = {3, Ser. A},
PAGES = {411--424},
ISSN = {0025-5610},
MRCLASS = {90C05 (90C20 90C31)},
MRNUMBER = {2001h:90038},
MRREVIEWER = {Jos F. Sturm},
}
@article{BNRT,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
TITLE = {Robust truss topology design via semidefinite programming},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {4},
PAGES = {991--1016},
ISSN = {1052-6234},
CODEN = {SJOPE8},
}
@techreport{bentalnemirov:98,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
Title = {{Convex Optimization in Engineering:
Modeling, Analysis, Algorithms}},
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}
@Article{ElL:97,
AUTHOR = {EL GHAOUI, L. and LEBRET, H.},
TITLE = {Robust solutions to least-squares problems with uncertain
data},
JOURNAL = simax,
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VOLUME = {18},
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NUMBER = {4},
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CODEN = {SJMAEL},
}
@incollection {MR1447473,
AUTHOR = {EL GHAOUI, L. and LEBRET, H.},
TITLE = {Robust solutions to least squares problems with uncertain
data},
BOOKTITLE = {Recent advances in total least squares techniques and
errors-in-variables modeling (Leuven, 1996)},
PAGES = {161--170},
PUBLISHER = {SIAM},
ADDRESS = {Philadelphia, PA},
YEAR = {1997},
}
#### end from Laurent
##### from math sci search for quadratic
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optimization
problems},
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FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
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MRCLASS = {90C25},
MRNUMBER = {1 810 401},
}
@techreport{BomzeDeklerk:01,
author = {I.M. BOMZE and de Klerk, E.},
title = {Solving standard quadratic optimization problems via linear,
semidefinite and copositive programming},
institution = {{Institut fuer Statistik, Universitaet Wien}},
year = {2001},
month = {May},
number = {2001-03},
address = {{Universitaetsstrasse 5, A-1010 Wien, Austria}},
note = {{Available at: {\tt
ssor.twi.tudelft.nl/\~{ }deklerk/publications/sos$\_$copos7.ps}}}
}
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}
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}
MR98c:68145,
AUTHOR = {Faradzhev, R. G. and Fe{\u\i}ziev, F. G.},
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AUTHOR = {Faybusovich, L. and MOORE, J.B.},
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}
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AUTHOR = {FLOUDAS, C.A. and VISWESWARAN, V.},
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}
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PAGES = {1947--1971},
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MRCLASS = {90C31 (49K27 90C48)},
MRNUMBER = {MR1416495 (97i:90089)},
MRREVIEWER = {J. Fr{\'e}d{\'e}ric Bonnans},
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DOI = {10.1006/jmaa.1996.0284},
URL = {http://dx.doi.org/10.1006/jmaa.1996.0284},
}
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}
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quadratic penalty-barrier and multipliers methods for solving
constrained optimization problems. {I}},
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YEAR = {1996},
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CODEN = {JMANAK},
}
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FJOURNAL = {Mathematical Programming},
VOLUME = {63},
YEAR = {1994},
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optimization problems},
NOTE = {Conference on Computational Methods in Global Optimization, II
(Princeton, NJ, 1991)},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management and
Engineering},
VOLUME = {2},
YEAR = {1992},
NUMBER = {3},
PAGES = {229--241},
ISSN = {0925-5001},
CODEN = {JGOPEO},
}
@article {MR95b:90073,
AUTHOR = {NEUMAIER, A.},
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FJOURNAL = {Journal of Global Optimization},
VOLUME = {2},
YEAR = {1992},
NUMBER = {2},
PAGES = {201--208},
ISSN = {0925-5001},
CODEN = {JGOPEO},
}
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AUTHOR = {AL-KHAYYAL, F.A. and HORST, R. and Pardalos, P.M.},
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constraints: an application in nonlinear bilevel programming},
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}
@article {Ko:88,
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Operations Research},
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YEAR = {1988},
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PAGES = {711--721},
ISSN = {0233-1934},
}
#####additions from two chapters
## put temporary bib entries here to check for typos
#
@ARTICLE{ye-90,
author = "Y. Ye",
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journal = "SIAM J. Comput.",
volume = "19(3)",
year = "1990",
pages = "457-466"
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@ARTICLE{NS-96,
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volume = "72",
year = "1996",
pages = "273-289"
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@article{SA-01,
author = {S.H. SCHMIETA and F.~Alizadeh},
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ftp://rutcor.rutgers.edu/pub/rrr/reports99/12.ps}}}
}
@techreport{SA-99b,
author = {S.H. SCHMIETA and F. Alizadeh},
title = {Extension of Commutative Class of Primal-Dual Interior
Point
Algorithms to Symmetric Cones},
institution = {{RUTCOR, Rutgers University}},
year = 1999,
month = {July},
number = {RRR 13-99},
address = {{640 Bartholomew Road, Piscataway, NJ 08854-8803}},
note = {{Available at URL: {\tt
ftp://rutcor.rutgers.edu/pub/rrr/reports99/13.ps}}}
}
@ARTICLE{fay-97b,
author = "L. Faybusovich",
title = "Euclidean {J}ordan Algebras and Interior-Point Algorithms",
journal = "Positivity",
volume = "1",
number = "4",
pages = "331-357",
publisher = "Kluwer Academic Publishers",
year = "1997"
}
@article {MR1935854,
author = "L. Faybusovich",
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MRCLASS = {90C34 (90C32)},
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MRREVIEWER = {Oliver Stein},
}
@techreport{fay-98,
author = "L. Faybusovich",
title = "A {J}ordan-algebraic approach to potential-reduction algorithms",
institution = "Dept. of Mathematics, University of Notre Dame",
address = "Notre Dame, IN 46556-5683",
year = "April 1998"
}
@ARTICLE{fay-97a,
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MRNUMBER = {99b:90089},
MRREVIEWER = {Michael L. Dowling},
}
@BOOK{spr-73,
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@ARTICLE{jac-68,
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@TECHREPORT{tsu-98,
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@TECHREPORT{MT-98,
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Second-Order Cone Program Based on the {MZ}-Family of Directions",
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#Chapter 10 bibliography entries
@article {Mont:95,
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@techreport {Koj,
author = {M.~Kojima},
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
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%bibliography entries from Chapter 18
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ADDRESS = {New York},
YEAR = {2005},
MRCLASS = {90B18 (05C62 52B55 90C22)},
MRNUMBER = {MR2298289},
}
@inproceedings {YeRobust:06,
AUTHOR = {Ye, Y.},
TITLE = {Semidefinite programming for sensor network and graph
localization},
BOOKTITLE = {Robust Optimization-Directed Design},
PAGES = {247--275},
PUBLISHER = {Springer},
ADDRESS = {USA},
YEAR = {2006},
}
@techreport{SoYeZhang:06,
author = "So, A. and Ye, Y. and Zhang, J.",
title = "A Unified Theorem on {SDP} Rank Reduction",
year = "2006",
institution = "Operation Research, Stanford University",
address = "Stanford, CA",
}
@techreport{Ye99,
author = "Y. Ye",
year = 1999,
title = "A .699-approximation algorithm for Max-Bisection",
institution = "University of Iowa",
address = " Iowa City, IA",
}
@techreport{Skutella99,
author = "M. SKUTELLA",
year = 1999,
title = "Convex quadratic and semidefinite programming relaxations in scheduling",
institution = "Technische Universitat Berlin",
address= "Berlin, Germany",
note = "manuscript"
}
@article{PoljakT94,
author= "S. POLJAK and Z. TUZA",
title = "On the relative error of the polyhedral approximation of the
max-cut problem",
journal= orl,
year = 1994,
pages = "191--198",
volume = 16
}
@inproceedings{Hastad97,
author = "J. {HASTAD}",
title = "Some optimal inapproximability results",
year = 1997,
booktitle = stoc97
}
###extra refs from Goemans - end
###extra refs about matrix completions start
@article {MR1737244,
AUTHOR = {FALLAT, S.M. and Johnson, C.R. and SMITH, R.L.},
TITLE = {The general totally positive matrix completion problem with few
unspecified entries},
JOURNAL = {Electron. J. Linear Algebra},
FJOURNAL = {Electronic Journal of Linear Algebra},
VOLUME = {7},
YEAR = {2000},
PAGES = {1--20 (electronic)},
ISSN = {1081-3810},
MRCLASS = {15A48},
MRNUMBER = {1 737 244},
}
@article {MR2000a:15041,
AUTHOR = {Johnson, C.R. and SMITH, R.L.},
TITLE = {The symmetric inverse ${M}$-matrix completion problem},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {290},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {193--212},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57 (15A48)},
MRNUMBER = {2000a:15041},
MRREVR = {Jeffrey Stuart},
}
@article {MR99k:42020,
AUTHOR = {BAKONYI, M. and NAEVDAL, G.},
TITLE = {On the matrix completion method for multidimensional moment
problems},
JOURNAL = {Acta Sci. Math. (Szeged)},
FJOURNAL = {Acta Universitatis Szegediensis. Acta Scientiarum
Mathematicarum},
VOLUME = {64},
YEAR = {1998},
NUMBER = {3-4},
PAGES = {547--558},
ISSN = {0001-6969},
MRCLASS = {42B10 (44A60 47A57)},
MRNUMBER = {99k:42020},
}
@article {MR99k:15002,
AUTHOR = {GEELEN, J.F.},
TITLE = {Maximum rank matrix completion},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {288},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {211--217},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A03},
MRNUMBER = {99k:15002},
MRREVR = {Hugo Jan Woerdeman},
}
@article {MR2350678,
AUTHOR = {Fallat, Shaun M. and Hogben, Leslie},
TITLE = {The minimum rank of symmetric matrices described by a
graph: a
survey},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {426},
YEAR = {2007},
NUMBER = {2-3},
PAGES = {558--582},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A03 15A18)},
MRNUMBER = {2350678 (2008f:05114)},
DOI = {10.1016/j.laa.2007.05.036},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2007.05.036},
}
@article {MR99i:15035,
AUTHOR = {Hogben, L.},
TITLE = {Completions of ${M}$-matrix patterns},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {285},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {143--152},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57},
MRNUMBER = {99i:15035},
MRREVR = {Hugo Jan Woerdeman},
}
@article {MR99g:15031,
AUTHOR = {Hogben, L.},
TITLE = {Completions of inverse ${M}$-matrix patterns},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {282},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {145--160},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57},
MRNUMBER = {99g:15031},
MRREVR = {Ronald L. Smith},
}
@article {MR1823516,
AUTHOR = {Hogben, L.},
TITLE = {Graph theoretic methods for matrix completion problems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {328},
YEAR = {2001},
NUMBER = {1-3},
PAGES = {161--202},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48 (05C50)},
MRNUMBER = {MR1823516 (2001k:15031)},
MRREVIEWER = {Ronald L. Smith},
}
@book {MR97i:47002,
AUTHOR = {GOHBERG, I. and KAASHOEK, M.A. and van SCHAGEN,
F.},
TITLE = {Partially specified matrices and operators: classification,
completion, applications},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {1995},
PAGES = {viii+333},
ISBN = {3-7643-5259-0},
MRCLASS = {47-02 (15A21 47A56 47N70 93B25)},
MRNUMBER = {97i:47002},
MRREVR = {L. Rodman},
}
@article {MR97h:15028,
AUTHOR = {Johnson, C.R. and KROSCHEL, B.K.},
TITLE = {The combinatorially symmetric ${P}$-matrix completion problem},
JOURNAL = {Electron. J. Linear Algebra},
FJOURNAL = {Electronic Journal of Linear Algebra},
VOLUME = {1},
YEAR = {1996},
PAGES = {59--63 (electronic)},
ISSN = {1081-3810},
MRCLASS = {15A48},
MRNUMBER = {97h:15028},
MRREVR = {Hugo Jan Woerdeman},
}
@article {MR97g:15024,
AUTHOR = {COHEN, N. and DANCIS, J.},
TITLE = {Maximal rank {H}ermitian completions of partially specified
{H}ermitian matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {244},
YEAR = {1996},
PAGES = {265--276},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57},
MRNUMBER = {97g:15024},
MRREVR = {Shu An Hu},
}
@article {MR93f:15021,
AUTHOR = {DANCIS, J.},
TITLE = {Positive semidefinite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {175},
YEAR = {1992},
PAGES = {97--114},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57 (47A57)},
MRNUMBER = {93f:15021},
MRREVR = {L. Rodman},
}
@article {MR93e:15009,
AUTHOR = {MATHIAS, R.},
TITLE = {Matrix completions, norms and {H}adamard products},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {117},
YEAR = {1993},
NUMBER = {4},
PAGES = {905--918},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {15A60},
MRNUMBER = {93e:15009},
MRREVR = {Ronald L. Smith},
}
@article {MR90m:15010,
AUTHOR = {BARRETT, W.W. and Johnson, C.R. and LUNDQUIST,
M.},
TITLE = {Determinantal formulae for matrix completions associated with
chordal graphs},
NOTE = {Linear algebra and applications (Valencia, 1987)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {121},
YEAR = {1989},
PAGES = {265--289},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A15 (05C50)},
MRNUMBER = {90m:15010},
MRREVR = {L. Rodman},
}
@incollection {MR90k:15008,
AUTHOR = {Johnson, C.R. and RODMAN, L.},
TITLE = {Chordal inheritance principles and positive definite
completions of partial matrices over function rings},
BOOKTITLE = {Contributions to operator theory and its applications (Mesa,
AZ, 1987)},
PAGES = {107--127},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1988},
MRCLASS = {15A54 (05C50 15A60)},
MRNUMBER = {90k:15008},
MRREVR = {Robert Grone},
}
@article {MR86d:15009,
AUTHOR = {NEWMAN, M.},
TITLE = {Matrix completion theorems},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {94},
YEAR = {1985},
NUMBER = {1},
PAGES = {39--45},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {15A33 (15A57)},
MRNUMBER = {86d:15009},
MRREVR = {William H. Gustafson},
}
@article {MR86b:15026,
AUTHOR = {Johnson, C.R. and RODMAN, L.},
TITLE = {Inertia possibilities for completions of partial {H}ermitian
matrices},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {16},
YEAR = {1984},
NUMBER = {1-4},
PAGES = {179--195},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A57 (15A18)},
MRNUMBER = {86b:15026},
MRREVR = {Bryan E. Cain},
}
@incollection {MR1059486,
AUTHOR = {Johnson, C.R.},
TITLE = {Matrix completion problems: a survey},
BOOKTITLE = {Matrix theory and applications (Phoenix, AZ, 1989)},
PAGES = {171--198},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1990},
MRCLASS = {15-02 (15A03 15A15 15A57 15A60)},
MRNUMBER = {1 059 486},
}
###extra refs about matrix completions end
### correlation matrices references
@article {MR1929023,
AUTHOR = {LI, C.K. and PIERCE, S.},
TITLE = {Linear operators preserving correlation matrices},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {131},
YEAR = {2003},
NUMBER = {1},
PAGES = {55--63 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {15A04},
MRNUMBER = {1 929 023},
MRREVIEWER = {Chong Guang Cao},
}
@article {MR1896990,
AUTHOR = {Parthasarathy, K. R.},
TITLE = {On extremal correlations},
NOTE = {C. R.\ Rao 80th birthday felicitation volume, Part I},
JOURNAL = {J. Statist. Plann. Inference},
FJOURNAL = {Journal of Statistical Planning and Inference},
VOLUME = {103},
YEAR = {2002},
NUMBER = {1-2},
PAGES = {173--180},
ISSN = {0378-3758},
CODEN = {JSPIDN},
MRCLASS = {62H20 (15A48)},
MRNUMBER = {1 896 990},
}
@article {MR2002g:65045,
AUTHOR = {Davies, Philip I. and Higham, N.J.},
TITLE = {Numerically stable generation of correlation matrices and
their factors},
JOURNAL = {BIT},
FJOURNAL = {BIT. Numerical Mathematics},
VOLUME = {40},
YEAR = {2000},
NUMBER = {4},
PAGES = {640--651},
ISSN = {0006-3835},
MRCLASS = {65F18},
MRNUMBER = {2002g:65045},
MRREVIEWER = {Ram Shanmugam},
}
#
# Following are my personal publications (Henry Wolkowicz & co-authors/students)
%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Nathan Krislock at 2010-07-05 15:55:49 -0400
%% Saved with string encoding Unicode (UTF-8)
@article{Ma:2010,
Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
Adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1006.5252M},
Archiveprefix = {arXiv},
Author = {{Ma}, R. and {Cheng}, S.},
Date-Added = {2010-07-05 15:55:18 -0400},
Date-Modified = {2010-07-05 15:55:22 -0400},
Eprint = {1006.5252},
Journal = {ArXiv e-prints},
Keywords = {Mathematics - Numerical Analysis, Computer Science - Numerical Analysis},
Month = jun,
Title = {{Decomposition Approach for Low-rank Matrix Completion}},
Year = 2010}
@article{Mesbahi:1997,
Author = {Mesbahi, M. and Papavassilopoulos, G.P.},
Journal = {Automatic Control, IEEE Transactions on},
Month = {feb},
Number = {2},
Pages = {239 -243},
Title = {On the rank minimization problem over a positive
semidefinite linear matrix inequality},
Volume = {42},
Year = {1997}}
@ARTICLE{871772,
author={Parrilo, P.A. and Khatri, S.},
journal={Automatic Control, IEEE Transactions on}, title={On
cone-invariant linear matrix inequalities},
year={2000},
month={aug},
volume={45},
number={8},
pages={1558 -1563},
keywords={classical Perron-Frobenius theorem;cone-invariant linear
matrix inequalities;linear operator;optimal solution;optimal value;power
iteration-type algorithms;rank minimization problems;spectral
radius;structured singular value;iterative methods;matrix
algebra;minimisation;},
doi={10.1109/9.871772},
ISSN={0018-9286},}
####% PROTEIN DESIGN from Vris
####% Emergent strategies for inverse molecular design
@article {HuBY:09,
author = {Hu, X. and Beratan, D. and Yang, W.},
affiliation = {Department of Chemistry, Duke University, Durham, North Carolina 27708-0354, USA},
title = {Emergent strategies for inverse molecular design},
journal = {Science in China Series B: Chemistry},
publisher = {Science China Press, co-published with Springer},
issn = {1006-9291},
keyword = {Chemistry and Materials Science},
pages = {1769-1776},
volume = {52},
issue = {11},
url = {http://dx.doi.org/10.1007/s11426-009-0260-3},
note = {10.1007/s11426-009-0260-3},
year = {2009}
}
% Branch-and-terminate: a combinatorial optimization algorithm for protein design
@article{GordonM:99,
address = {Division of Chemistry and Chemical Engineering California Institute of Technology Pasadena, California, 91125, USA.},
author = {Gordon, D. B. and Mayo, S. L.},
day = {15},
issn = {0969-2126},
journal = {Structure},
keywords = {scp},
month = sep,
number = {9},
pages = {1089--1098},
pmid = {10508778},
posted-at = {2006-04-25 17:20:26},
priority = {0},
title = {{Branch-and-terminate: a combinatorial optimization algorithm for protein design.}},
url = {http://view.ncbi.nlm.nih.gov/pubmed/10508778},
volume = {7},
year = {1999}
}
%-----------------------------------------------------------
% PROTEIN-PROTEIN INTERACTION
% Protein-protein docking by simulating the process of association subject to biochemical constraints
@article{MotiejunasGWFJWW:08,
address = {EML Research gGmbH, Schloss-Wolfsbrunnenweg 33, 69118 Heidelberg, Germany; Faculty of Biosciences, Interdisciplinary Center for Scientific Computing, University of Heidelberg, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany},
author = {Motiejunas, D. and Gabdoulline, R. and Wang, T. and Feldman-Salit, A. and Johann, T. and Winn, P.J. and Wade, R.C.},
doi = {10.1002/prot.21867},
journal = {Proteins: Structure, Function, and Bioinformatics},
keywords = {bd, continuum-model, electrostatic, protein-protein},
number = {9999},
pages = {NA+},
posted-at = {2009-04-28 13:16:54},
priority = {2},
title = {{Protein-protein docking by simulating the process of association subject to biochemical constraints}},
url = {http://dx.doi.org/10.1002/prot.21867},
volume = {9999},
year = {2008}
}
% Improved side-chain modeling for protein–protein docking
@article {WangSB:05,
author = {Wang, Chu and Schueler-Furman, Ora and Baker, David},
title = {Improved side-chain modeling for protein–protein docking},
journal = {Protein Science},
volume = {14},
number = {5},
publisher = {Cold Spring Harbor Laboratory Press},
issn = {1469-896X},
url = {http://dx.doi.org/10.1110/ps.041222905},
doi = {10.1110/ps.041222905},
pages = {1328--1339},
keywords = {protein–protein docking, side-chain modeling, rotamer minimization, side-chain entropy},
keywords = {PDB, Protein Data Bank, RMSD, root-mean-square deviation.},
year = {2005},
}
% Anchor residues in protein-protein interactions
%-----------------------------------------------------------
% NP-HARDNESS OF SIDE CHAIN PACKING
@article{Akutsu1997,
title = {NP-hardness results for protein side-chain packing},
author = {Akutsu, T.},
year = {1997},
volume = {8},
pages = {180--186},
journal = {Genome Informatics},
url = {http://www.jsbi.org/journal1/gi08/},
number={},
}
%-----------------------------------------------------------
% HOMOLOGY MODELING AND FOLD RECOGNITION
% From fold recognition to homology modeling: an analysis of protein modeling challenges at different levels of prediction complexity
@article{OlszewskiYDT:04,
title = "From fold recognition to homology modeling: an analysis of protein modeling challenges at different levels of prediction complexity",
journal = "Computers & Chemistry",
volume = "24",
number = "3-4",
pages = "499 -- 510",
year = "2000",
note = "",
issn = "0097-8485",
doi = "DOI: 10.1016/S0097-8485(99)00078-9",
url = "http://www.sciencedirect.com/science/article/pii/S0097848599000789",
author = "Olszewski, K.A. and Yan, L. and Edwards, D. and Yeh, T.",
keywords = "Homology modeling",
keywords = "Fold recognition",
keywords = "CASP3"
}
%-----------------------------------------------------------
% ROTAMER LIBRARY
%A Smoothed Backbone-Dependent Rotamer Library for Proteins Derived from Adaptive Kernel Density Estimates and Regressions
@article{ShapovalovD2011,
title = "A Smoothed Backbone-Dependent Rotamer Library for Proteins Derived from Adaptive Kernel Density Estimates and Regressions",
journal = "Structure",
volume = "19",
number = "6",
pages = "844 - 858",
year = "2011",
note = "",
issn = "0969-2126",
doi = "DOI: 10.1016/j.str.2011.03.019",
url = "http://www.sciencedirect.com/science/article/pii/S0969212611001444",
author = "Shapovalov, M.V. and Dunbrack, R.L."
}
% The penultimate rotamer library
@article {LovellWRR:00,
author = {Lovell, S.C. and Word, J.M. and Richardson, J.S. and Richardson, D.C.},
title = {The penultimate rotamer library},
journal = {Proteins: Structure, Function, and Bioinformatics},
volume = {40},
number = {3},
publisher = {Wiley Subscription Services, Inc., A Wiley Company},
issn = {1097-0134},
url = {http://dx.doi.org/10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2},
doi = {10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2},
pages = {389--408},
keywords = {side-chain rotamer library, all-atom contact analysis, structure validation, reversed leucines, explicit hydrogens, van der Waals analysis},
year = {2000},
}
%-----------------------------------------------------------
% DEAD END ELIMINATION
% The dead-end elimination theorem and its use in protein side-chain positioning
@article{DesmetMHL:92,
author = {Desmet, J. and Maeyer, M.D. and Hazes, B. and Lasters, I.},
day = {09},
doi = {10.1038/356539a0},
issn = {0028-0836},
journal = {Nature},
keywords = {dee, rotamers},
month = apr,
number = {6369},
pages = {539--542},
posted-at = {2006-04-07 14:33:40},
priority = {0},
publisher = {Nature Publishing Group},
title = {{The dead-end elimination theorem and its use in protein side-chain positioning}},
url = {http://dx.doi.org/10.1038/356539a0},
volume = {356},
year = {1992}
}
% Efficient rotamer elimination applied to protein side-chains and related spin glasses
@article{Goldstein:94,
title = "Efficient rotamer elimination applied to protein side-chains and related spin glasses",
journal = "Biophysical Journal",
volume = "66",
number = "5",
pages = "1335 - 1340",
year = "1994",
note = "",
issn = "0006-3495",
doi = "DOI: 10.1016/S0006-3495(94)80923-3",
url = "http://www.sciencedirect.com/science/article/pii/S0006349594809233",
author = "Goldstein, R.F. "
}
%-----------------------------------------------------------
% ENERGY FUNCTION
% Computing van der Waals energies in the context of the rotamer approximation
@article{GrigoryanOK:07,
author = {Grigoryan, G. and Ochoa, A. and Keating, A.E.},
doi = {10.1002/prot.21470},
journal = {Proteins},
keywords = {keating-import},
month = sep,
number = {4},
pages = {863--878},
posted-at = {2009-04-08 21:33:49},
priority = {2},
title = {{Computing van der Waals energies in the context of the rotamer approximation}},
url = {http://www.hubmed.org/display.cgi?uids=17554777},
volume = {68},
year = {2007}
}
# This file contains personal publication bib entries (including
## student theses.
## The bib entries were taken from MathSci - May 10, 2000.
##
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
# An http version has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/refpubl/refpubl.html
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
#
###################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
#
#
# 1. Books and special issues first.
# 2. Chapters in Books second
# 3. Papers in refereed Journals third
# 3. Papers in refereed Conference Proceedings fourth
# 4. Technical Reports fifth
# 5. Theses (including students' theses) sixth
# 111111 BOOKS BOOKS (authored and edited)
@book{fixedpointalgs:11,
EDITOR = {
Bauschke, H.H. and Burachik, R.S. and Combettes, P.L. and Elser, V. and Luke, D.R. and Wolkowicz, H.},
TITLE = {Fixed-Point Algorithms for Inverse Problems in Science and
Engineering},
PUBLISHER = {Springer},
SERIES = {Springer Optimization and Its Applications},
ADDRESS = {},
VOLUME = {49},
YEAR = {2011},
URL =
{http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-1-4419-9568-1}
}
@book{BGKW:07,
TITLE = {12th ILAS Conference Proceeding, Regina 2005},
EDITOR = {
R. Bhatia and R. Guralnick and S. Kirkland and
H. Wolkowicz},
NOTE = {Held in Regina, SK, June 26--29, 2005},
publisher="Elsevier",
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {421,1},
YEAR = {2007},
PAGES = {1--2},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15-06},
MRNUMBER = {MR2290680},
}
@book{Sturmissue:07,
EDITOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Large Scale Nonlinear and Semidefinite Programming},
NOTE = {Dedicated to the memory of Jos Sturm,
Math. Programming, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
VOLUME = {109, 2-3, Ser. B},
YEAR = {2007},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/d4353m3642j7n008/}
}
@book{PardWo:01,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {New approaches for hard discrete optimization},
NOTE = {Papers from the Fields Workshop on Novel Approaches to
Hard
Discrete Optimization held at the University of Waterloo,
Waterloo, ON, April 26--28, 2001,
J. Comb. Optim. {\bf 6} (2002), no. 3},
PUBLISHER = {Springer},
ADDRESS = {Norwell, MA},
YEAR = {2002},
PAGES = {i--ii and 235--352},
ISSN = {1382-6905},
MRCLASS = {90-06 (90C27)},
MRNUMBER = {MR1920209},
}
@proceedings{PardWolk:02,
EDITOR = "P. Pardalos and H. Wolkowicz",
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html",
TITLE = {Novel approaches to hard discrete optimization},
SERIES = {Fields Institute Communications},
VOLUME = {37},
NOTE = {Papers from the workshop held at the University of
Waterloo,
Waterloo, ON, April 26--28, 2001},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2003},
PAGES = {viii+181},
ISBN = {0-8218-3248-4},
MRCLASS = {00B25 (68-06 90-06)},
MRNUMBER = {MR1987230 (2004a:00021)},
}
@proceedings{PardWolk:96,
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
TITLE = {Topics in Semidefinite and Interior-Point Methods},
BOOKTITLE = {Proceedings of the workshop held in Toronto, ON, May 1996},
EDITOR = "P. Pardalos and H. Wolkowicz",
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xx+250},
ISBN = {0-8218-0825-7},
MRCLASS = {90-06},
MRNUMBER = {98j:90005},
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html"
}
@book{PardWolk:97,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {Semidefinite Programming and Interior-Point Approaches for
Combinatorial Optimization Problems},
NOTE = {Papers from the workshop held at the University of Toronto,
Toronto, ON, May 15--17, 1996,
J. Comb. Optim. {\bf 2} (1998), no. 1},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Hingham, MA},
YEAR = {1998},
PAGES = {1--109},
ISSN = {1382-6905},
MRCLASS = {90-06 (90C26 90C27)},
MRNUMBER = {99a:90012},
}
@book{OvWo:96,
TITLE = {Semidefinite Programming},
EDITOR = "M.L. Overton and H. Wolkowicz",
NOTE = {Dedicated to the memory of Svatopluk Poljak,
Math. Programming {\bf 77} (1997), no. 2, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1997},
PAGES = {i--ii and 97--320},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90-06 (00B30)},
MRNUMBER = {98a:90010},
}
@book{PSWZ:94,
TITLE = {Special Issue Honoring Ingram Olkin},
EDITOR = {F. Pukelsheim and G. P. H. Styan and H. Wolkowicz and I.
Zaballa},
NOTE = {Linear Algebra and Its Applications
{\bf 199} (1994)},
PUBLISHER = {Elsevier Science Inc.},
YEAR = {1994},
PAGES = {i--viii and 445 pp.},
}
@book{PardWolk:94,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {Quadratic assignment and related problems},
NOTE = {Papers from the workshop held at Rutgers University, New
Brunswick, New Jersey, May 20--21, 1993},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1994},
PAGES = {xii+364},
ISBN = {0-8218-6607-9},
MRCLASS = {90-06 (90C27 90C30 90C35)},
MRNUMBER = {95b:90005},
}
@book{SaVaWo:97,
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
TITLE = {Handbook of semidefinite programming},
SERIES = {International Series in Operations Research \& Management
Science, 27},
NOTE = {Theory, algorithms, and applications},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Boston, MA},
YEAR = {2000},
PAGES = {xxviii+654},
ISBN = {0-7923-7771-0},
MRCLASS = {90-00 (90C22)},
MRNUMBER = {MR1778223 (2001k:90001)},
MRREVIEWER = {K. G. Murty},
}
# 222222 CHAPTERS (chapters in books)
###############################
@incollection{KrislockWolk:10,
author = "Krislock, N. and Wolkowicz, H.",
title = "Euclidean Distance Matrices and Applications",
number="2009-06",
series="International Series in Operations Research \& Management Science",
vol ="166",
PAGES = {879--914},
Publisher="Springer-Verlag",
booktitle ="Handbook on Semidefinite, Cone and Polynomial Optimization",
ISBN = {978-1-4614-0768-3},
URL =
{http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-0768-3},
year="2011"
}
@incollection{Wolkgenerat:09,
author = "H. Wolkowicz",
TITLE = {Generating eigenvalue bounds using optimization},
BOOKTITLE = {Nonlinear analysis and variational problems},
SERIES = {Springer Optim. Appl.},
VOLUME = {35},
PAGES = {465--490},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2010},
MRCLASS = {15A42 (90C31)},
MRNUMBER = {2581881},
DOI = {10.1007/978-1-4419-0158-3_29},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-0158-3_29},
}
@incollection{WoHLA:05,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "CRC Handbook of Linear Algebra (HLA)",
editor = "Leslie Hogben",
Publisher="CRC Press",
pages = {51-1--51-13},
ADDRESS = {Bacon Raton, Fl},
note = "2008 Choice Magazine Outstanding Academic Title",
URL = "www.crcpress.com/shopping\_cart/products/product\_detail.asp?sku=C5106\&parent\_id=\&pc=",
year = "2007"
}
@incollection{Wolknonlinassign:99,
author = "H. Wolkowicz",
TITLE = {Semidefinite programming approaches to the quadratic
assignment problem},
BOOKTITLE = {Nonlinear assignment problems},
SERIES = {Comb. Optim.},
VOLUME = {7},
PAGES = {143--174},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR1893727},
}
@incollection{AlWo:99,
author = "A. Alfakih and H. Wolkowicz",
TITLE = {Matrix completion problems},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {533--545},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (65F30)},
MRNUMBER = {MR1778240},
}
@incollection{NeWoYe:99,
author = "Y.E. Nesterov and H. Wolkowicz and Y. Ye",
TITLE = {Semidefinite programming relaxations of nonconvex
quadratic
optimization},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {361--419},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C26)},
MRNUMBER = {MR1778235},
}
@incollection{KrukWolk:99,
author = "S. Kruk and H. Wolkowicz",
TITLE = {Sequential, quadratic constrained, quadratic programming for
general nonlinear programming},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {563--575},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C55)},
MRNUMBER = {MR1778242},
}
@incollection{wolkcamb:99,
author = "H. Wolkowicz",
title = "Semidefinite and {L}agrangian Relaxations for hard
combinatorial problems",
booktitle = "Proceedings of 19th IFIP TC7 Conference on
System Modelling and Optimization, July, 1999, Cambridge",
editor = "M.J.D. Powell",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = {269-309},
year = "2000"
}
@incollection{Wolkapplhand:99,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "Handbook of
Applied Optimization",
editor = "P.M. Pardalos and M.G.C. Resende",
Publisher="Oxford University Press, New York",
ISBN = {0-19-512594-0},
year = "2002",
pages = {40-50},
}
@incollection{wolk:98,
author="H. Wolkowicz",
title = "Duality for Semidefinite Programming",
institution="University of Waterloo",
type="Research Report",
booktitle="Encyclopedia of Optimization",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = "",
year="2001",
}
# 333333 PAPERS in REFEREED JOURNALS
###############################
# start of journal ... PAPERS
###############################
###2015##########################
@techreport{BoBurkWolk:15,
author = "X-B Li and F. Burkowski and H. Wolkowicz",
title = "Normal Mode Analysis using Euclidean Distance Matrices",
institution="University of Waterloo",
note = "submitted Feb. 10, 2015,
Number 54, ISBRA 2015",
address="Waterloo, Ontario",
year="2015",
}
###2014##########################
@techreport{ChWosensit:14,
author = "Y.-L. Cheung and H. Wolkowicz",
title = "Sensitivity analysis of semidefinite programs without strong
duality",
institution="University of Waterloo",
note = "submitted June 2014, 37 pages",
address="Waterloo, Ontario",
year="2014",
}
@techreport{RWWW:14,
title = "Facial Reduction and {SDP} Methods for Systems of
Polynomial Equations",
author = "
G. Reid and F. Wang and H. Wolkowicz and W. Wu",
institution="University of Western Ontario",
note = "submitted Dec. 2014, 38 pages",
address="London, Ontario",
year="2014",
}
@techreport{ChDrLiPeWomatrixrepr:14,
author = "Y.-L. Cheung and D. Drusvyatskiy and
C.-K. Li and D.C. Pelejo and H. Wolkowicz",
title = "Efficient block matrix representations for the feasible trace
preserving completely positive problem",
institution="University of Waterloo",
note = "technical report - to appear",
address="Waterloo, Ontario",
year="2014",
}
@techreport{ChDrLiPeWo:14,
author = "Y.-L. Cheung and D. Drusvyatskiy and
C.-K. Li and D.C. Pelejo and H. Wolkowicz",
title = "Projection methods in quantum information science",
institution="University of Waterloo",
note = "submitted July. 2014, 15 pages, under revision Oct. 2014",
address="Waterloo, Ontario",
year="2014",
}
@techreport{DrusLiWolk:14,
author = "D. Drusvyatskiy and G. Li and H. Wolkowicz",
title = " Alternating projections for ill-posed semidenite feasibility
problems",
institution="University of Waterloo",
note = "submitted Sept. 2014, 12 pages",
address="Waterloo, Ontario",
year="2014",
}
@article{DrVaWo:14,
author = "D. Drusvyatskiy and S.A. Vavasis and H. Wolkowicz",
title = "Extreme point inequalities and geometry of the rank sparsity
ball",
institution="University of Waterloo",
pages = "23 pages",
number="submitted Nov. 2013",
volume="accepted Jul. 2014, 23 pages",
address="Waterloo, Ontario",
journal = "Mathematical Programming SERIES A and B",
year="2014",
}
@techreport{HaoWangPongWolk:14,
author = "H. Sun and N. Wang and T.K. Pong and H. Wolkowicz",
title = "Eigenvalue, Quadratic Programming, and Semidefinite
Programming Bounds for a Cut Minimization Problem",
institution="University of Waterloo",
note = "32 pages, submitted",
URL="http://www.optimization-online.org/DB_HTML/2014/01/4209.html",
address="Waterloo, Ontario",
year="2014",
}
@techreport{ChDrWo:14,
author = "Y-L. Cheung Voronin and D. Drusvyatskiy and N. Krislock and
H. Wolkowicz",
title = "Noisy sensor network localization: robust facial reduction
and the {P}areto frontier",
institution="University of Waterloo",
note = "arXiv:1410.6852, 20 pages",
address="Waterloo, Ontario",
year="2014",
}
############ YEAR 2013
@article{PongWolk:12,
author = "T.K. Pong and H. Wolkowicz",
TITLE = {The generalized trust region subproblem},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {58},
YEAR = {2014},
NUMBER = {2},
PAGES = {273--322},
ISSN = {0926-6003},
MRCLASS = {90C20 (90C26 90C55)},
MRNUMBER = {3201963},
DOI = {10.1007/s10589-013-9635-7},
URL = {http://dx.doi.org/10.1007/s10589-013-9635-7},
}
@article{LinWolkowicz:13,
author = "Lin, M-H. and Wolkowicz, H.",
title = "A general Hua-type matrix equality and its applications",
institution="University of Waterloo",
note = "7 pages, submitted Jan. 2013",
year="2013"
}
@article{LinWolkowiczHiro:13,
author = "Lin, M-H. and Wolkowicz, H.",
title = "Applications of {H}iroshima's theorem in matrix norm inequalities",
institution="University of Waterloo",
journal = "Acta Sci. Math. (Szeged)",
pages = "8 pages",
number="submitted 2013",
volume="accepted 2013",
year="to appear 2014"
}
############ YEAR 2012
@techreport{Babakmanifold:12,
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz",
title = "Large-Scale Manifold Learning by Semidefinite Facial Reduction",
institution="University of Waterloo",
URL = "http://hal.archives-ouvertes.fr/hal-00684488",
note = "19pages",
address="Waterloo, Ontario",
year="2012"
}
@incollection {Babakprotein:12,
author = {Alipanahi, Babak and Krislock, Nathan and Ghodsi, Ali and
Wolkowicz, Henry and Donaldson, Logan and Li, Ming},
affiliation = {David R. Cheriton School of Computer Science,
University of Waterloo, Waterloo, Ontario, Canada},
title = {Protein Structure by Semidefinite Facial Reduction},
booktitle = {Research in Computational Molecular Biology},
series = {Lecture Notes in Computer Science},
editor = {Chor, Benny},
publisher = {Springer Berlin / Heidelberg},
isbn = {978-3-642-29626-0},
keyword = {Computer Science},
pages = {1-11},
volume = {7262},
year = {2012}
}
@article {Alipanahi:2012,
AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and
Wolkowicz, H. and Donaldson, L. and Li, M.},
TITLE = {Determining protein structures from {NOESY} distance
constraints by semidefinite programming},
JOURNAL = {J. Comput. Biol.},
FJOURNAL = {Journal of Computational Biology},
VOLUME = {20},
YEAR = {2013},
NUMBER = {4},
PAGES = {296--310},
ISSN = {1066-5277},
MRCLASS = {92D20 (90C22)},
MRNUMBER = {3042029},
DOI = {10.1089/cmb.2012.0089},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089},
}
@conference{Babaketal:12,
title="Protein Structure by Semidefinite Facial Reduction",
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz and L. Donaldson and M. Li",
institution="University of Waterloo",
note="poster session at RECOMB2012",
booktitle="URL: recomb2012.crg.cat",
address="Waterloo, Ontario",
URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2012"
}
############ YEAR 2011
@article{MingW:11,
author = "Lin, M-H. and Wolkowicz, H.",
title = "An Eigenvalue Majorization Inequality for Positive
Semidefinite Block Matrices: In Memory of {K}y {F}an",
JOURNAL = lama,
VOLUME = {60},
PAGES = {1365-1368},
year ={2012},
number="11-12",
}
@inproceedings{ScTuWonumeric:07,
author = "Cheung, Y-L. and Schurr, S. and Wolkowicz, H.",
editor = "Bailey, D.H. and Bauschke, H.H. and Borwein, P. and Garvan, F. and Thera, M. and Vanderwerff, J. and Wolkowicz, H.",
title = "Preprocessing and Regularization for Degenerate Semidefinite
Programs",
booktitle = {Computational and {A}nalytical {M}athematics, {I}n {H}onor of
{J}onathan {B}orwein's 60th {B}irthday},
publisher="Springer",
VOLUME = {50},
Series = "Springer Proceedings in Mathematics \& Statistics",
year="2013",
ISBN = "978-1-4614-7620-7",
URL = {http://www.optimization-online.org/DB_HTML/2011/02/2929.html},
pages = "225-276",
}
@book{comanalmathbailbortherawolk:13,
editor = "Bailey, D.H. and Bauschke, H.H. and Borwein, P. and Garvan, F. and Thera, M. and Vanderwerff, J. and Wolkowicz, H.",
title = "Preprocessing and Regularization for Degenerate Semidefinite
Programs",
booktitle = {Computational and {A}nalytical {M}athematics, {I}n {H}onor of
{J}onathan {B}orwein's 60th {B}irthday},
publisher="Springer",
VOLUME = {50},
Series = "Springer Proceedings in Mathematics \& Statistics",
year="2013",
ISBN = "978-1-4614-7620-7",
URL = {http://www.optimization-online.org/DB_HTML/2011/02/2929.html},
pages = "225-276",
}
@book{companalymathBTW:13,
TITLE = {Computational and Analytical Mathematics},
EDITOR = "Heinz H. Bauschke, Michel Thra, Henry Wolkowicz",
NOTE = {Special issue in honour of Jon Borwein''s 60th birthday,
Math. Programming {\bf 139} (2013), no. 1-2},
PUBLISHER = {Springer},
ADDRESS = {},
YEAR = {2013},
PAGES = {},
}
@conference{Babaketal:11,
title="{SPROS}: An {SDP}-Based Protein Structure
Determination from {NMR} Data",
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz and L. Donaldson and M. Li",
institution="University of Waterloo",
note="poster session at RECOMB2011",
booktitle="URL: compbio.cs.sfu.ca/recomb2011",
address="Waterloo, Ontario",
URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2011"
}
@techreport{DoanW:11,
author = "Doan, X.V. and Wolkowicz, H.",
title = "Numerical Computations and the $\omega$-Condition Number",
institution="University of Waterloo",
number="CORR 2011-03",
note = "submitted in July, 2011, 19 pages",
address="Waterloo, Ontario",
year="2011"
}
@article{ForbesVrisWolk:11,
author = "Burkowski, F. and Cheung, Y-L. and Wolkowicz, H.",
title = "Efficient use of semidefinite programming for selection of
rotamers in protein conformations",
journal = "INFORMS Journal on Computing",
institution="University of Waterloo",
pages="748-766",
number="4",
volume="26",
year="2014"
}
############ YEAR 2010
@article{KrukDoanW:10,
author = "Doan, X.V. and Kruk, S. and Wolkowicz, H.",
TITLE = {A robust algorithm for semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {27},
YEAR = {2012},
NUMBER = {4-5},
PAGES = {667--693},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2946052},
MRREVIEWER = {Bogdan Dumitrescu},
DOI = {10.1080/10556788.2011.610456},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/10556788.2011.610456},
}
@article{DingGeWolk:10,
author = "Ding, Y. and Ge, D. and Wolkowicz, H.",
TITLE = {On equivalence of semidefinite relaxations for quadratic
matrix programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {36},
YEAR = {2011},
NUMBER = {1},
PAGES = {88--104},
ISSN = {0364-765X},
MRCLASS = {90C20 (90C22)},
MRNUMBER = {2799394},
DOI = {10.1287/moor.1100.0473},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.1100.0473},
}
############ YEAR 2009
@article{kriswolk:09,
author = {N. Krislock and H. Wolkowicz},
collaboration = {},
title = {Explicit Sensor Network Localization using Semidefinite
Representations and Facial Reductions},
publisher = {SIAM},
year = {2010},
journal = {SIAM Journal on Optimization},
volume = {20},
number = {5},
pages = {2679-2708},
keywords = {sensor network localization; Euclidean distance matrix
completions; semidefinite programming; loss of the Slater constraint
qualification},
url = {http://link.aip.org/link/?SJE/20/2679/1},
doi = {10.1137/090759392}
}
@article{AlfakihAnjosKPW:08,
author="A. Alfakih and M.F. Anjos and V. Piccialli and H. Wolkowicz",
title = "Euclidean Distance Matrices,
Semidefinite Programming, and Sensor Network Localization",
institution="University of Waterloo",
journal="Portug. Math.",
volume = "68",
pages="53-102",
URL =
{http://www.ems-ph.org/journals/show_abstract.php?issn=0032-5155&vol=68&iss=1&rank=4&srch=searchterm},
number="1",
address="Waterloo, Ontario",
year="2011",
}
############ YEAR 2008
@article{ScTuWominimal:07,
author = "Tun{\c{c}}el, L. and Wolkowicz, H.",
title = "Strong duality and minimal representations for cone optimization",
number="2",
volume = "53",
URL = "COAP DOI: 10.1007/s10589-012-9480-0",
journal = coap,
pages = "619-648",
year="2012",
}
@inproceedings{DiKrQiWo:08,
author = "Ding, Y. and
Krislock, N. and Qian, J. and Wolkowicz, H.",
TITLE = {Sensor network localization, {E}uclidean distance matrix
completions, and graph realization},
JOURNAL = {Optim. Eng.},
booktitle = {Optimization and Engineering. International Multidisciplinary
Journal to Promote Optimization Theory \& Applications in
Engineering Sciences},
VOLUME = {11},
YEAR = {2010},
NUMBER = {1},
PAGES = {45--66},
ISSN = {1389-4420},
MRCLASS = {90B10 (90B80 90C22)},
MRNUMBER = {2601732 (2011b:90012)},
MRREVIEWER = {Ning Ruan},
DOI = {10.1007/s11081-008-9072-0},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11081-008-9072-0},
}
@inproceedings{DiKrQiWo:06,
author = "Ding, Y. and
Krislock, N. and Qian, J. and Wolkowicz, H.",
TITLE = {Sensor network localization, {E}uclidean distance matrix
completions, and graph realization},
journal = {ACM},
booktitle = {{MELT'08}: Proceedings of the First {ACM}
International Workshop on Mobile Entity Localization and Tracking in
{GPS}-less Environments},
YEAR = {2008},
PAGES = {129--134},
}
############ YEAR 2007
############ YEAR 2006
@inproceedings{AnDeHaGrWeWolk:06,
author= "M.F. Anjos and M. Desroches and A. Haque and O.
Grodzevich and H. Wei and H. Wolkowicz",
TITLE = {Multi-Stage Investment Decision under Contingent Demand
for Networking Planning},
BOOKTITLE = {Proceedings of the 2006 IEEE GLOBECOM Conference in San
Francisco},
PAGES = {1--5 },
PUBLISHER = {},
ADDRESS = { },
URL = {http://www.ieee-globecom.org/2006/},
YEAR = {2007},
}
@article{PoTuWo:06,
author = "Potaptchik, M. and Tun{\c{c}}el, L. and H. Wolkowicz",
title = "Large Scale Portfolio Optimization with Piecewise Linear
Transaction Costs",
journal = "Optimization Methods and Software",
volume = "23",
number = "6",
pages = "929-952",
institution="University of Waterloo",
URL="orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#portfolio",
year="2008"
}
@article{DingWolk:06,
author = "Ding, Y. and H. Wolkowicz",
TITLE = {A low-dimensional semidefinite relaxation for the quadratic
assignment problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {34},
YEAR = {2009},
NUMBER = {4},
PAGES = {1008--1022},
ISSN = {0364-765X},
MRCLASS = {90C26 (65K05 65K10 90B80 90C22)},
MRNUMBER = {2573507},
MRREVIEWER = {Wei Hong Yang},
DOI = {10.1287/moor.1090.0419},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.1090.0419},
}
############ YEAR 2005
@article{AlfakihWolk:05,
author="A. Alfakih and H. Wolkowicz",
title = "Necessary and Sufficient Trace Inequalities for
{E}uclidean Distance Matrices",
institution="University of Waterloo",
address="Waterloo, Ontario",
pages = "499--506",
volume = "55",
number = "5",
journal = lama,
year="2007",
}
@article{GroWo:05,
author="O. Grodzevich and H. Wolkowicz",
title = "Regularization Using a Parameterized Trust Region Subproblem",
institution="University of Waterloo",
number="1-2",
address="Waterloo, Ontario",
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
pages = "193-220",
volume = "116",
year="2009",
}
############ YEAR 2004
@article {GoWo:04,
author="M. Gonzalez-Lima and H. Wei and H. Wolkowicz",
TITLE = {A stable primal-dual approach for linear programming under
nondegeneracy assumptions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {44},
YEAR = {2009},
NUMBER = {2},
PAGES = {213--247},
ISSN = {0926-6003},
MRCLASS = {90C05 (90C51)},
MRNUMBER = {2556851 (2010i:90056)},
MRREVIEWER = {K. Zimmermann},
DOI = {10.1007/s10589-007-9157-2},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-007-9157-2},
}
@article{homwolkA:04,
author = "Al-Homidan, S. and H. Wolkowicz",
TITLE = {Approximate and exact completion problems for {E}uclidean
distance matrices using semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {406},
YEAR = {2005},
PAGES = {109--141},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C22 (15Axx)},
MRNUMBER = {MR2156431},
}
@article{WeiWolk:06,
author = "H. Wei and H. Wolkowicz",
TITLE = {Generating and measuring instances of hard semidefinite
programs},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {125},
YEAR = {2010},
NUMBER = {1, Ser. A},
PAGES = {31--45},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2718693 (2011h:90105)},
MRREVIEWER = {Didier Henrion},
DOI = {10.1007/s10107-008-0256-3},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-008-0256-3},
}
############ YEAR 2003
@article{ScTuWolk:03,
author = "L. Tun{\c{c}}el and H. Wolkowicz",
TITLE = {Strengthened existence and uniqueness conditions for search
directions in semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {400},
YEAR = {2005},
PAGES = {31--60},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C22 (15A39)},
MRNUMBER = {MR2131915 (2006a:90070)},
MRREVIEWER = {Etienne de Klerk},
}
############ YEAR 2002
############ YEAR 2001
@article{Wolk:01,
author="H. Wolkowicz",
TITLE = {Solving semidefinite programs using preconditioned
conjugate gradients},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {19},
YEAR = {2004},
NUMBER = {6},
PAGES = {653--672},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C52)},
MRNUMBER = {MR2102220 (2005h:90091)},
MRREVIEWER = {E. Alper Y{\i} ld{\i} r{\i} m},
}
@article{AnjosWolk:01,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Geometry of semidefinite max-cut relaxations via matrix
ranks},
NOTE = {New approaches for hard discrete optimization (Waterloo,
ON,
2001)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {6},
YEAR = {2002},
NUMBER = {3},
PAGES = {237--270},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR1920210 (2003h:90057)},
MRREVIEWER = {Jos F. Sturm},
}
@article{FortinWolk:03,
author = "C. Fortin and H. Wolkowicz",
TITLE = {The trust region subproblem and semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {19},
YEAR = {2004},
NUMBER = {1},
PAGES = {41--67},
ISSN = {1055-6788},
MRCLASS = {90C22 (90-06)},
MRNUMBER = {MR2062235 (2005c:90065)},
MRREVIEWER = {Ya Xiang Yuan},
}
@article{AlWo:01,
author = "A. Alfakih and H. Wolkowicz",
TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale
transform},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {340},
YEAR = {2002},
PAGES = {149--154},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48 52B35)},
MRNUMBER = {MR1869424 (2002i:51010)},
}
############ YEAR 2000
@article{AnjosWolkb:00,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Semidefinite programming for discrete optimization and matrix
completion problems},
NOTE = {Workshop on Discrete Optimization, DO'99 (Piscataway,
NJ)},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {123},
YEAR = {2002},
NUMBER = {1-3},
PAGES = {513--577},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C22 (90C27)},
MRNUMBER = {MR1922345 (2003f:90054)},
MRREVIEWER = {Ji-Ming Peng},
}
@article{KrWo:00,
author = " S. Kruk and H. Wolkowicz",
bibsource = "http://jam.hindawi.com/volume-2003/S1110757X03301081.html",
TITLE = {Convergence of a short-step primal-dual algorithm based on
the {G}auss-{N}ewton direction},
JOURNAL = {J. Appl. Math.},
FJOURNAL = {Journal of Applied Mathematics},
YEAR = {2003},
NUMBER = {10},
volume = {2003},
PAGES = {517--534},
ISSN = {1110-757X},
MRCLASS = {90C53 (65K05)},
MRNUMBER = {MR2013788 (2005a:90193)},
MRREVIEWER = {Heinz H. Bauschke},
}
@article{AnWo:00,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Strengthened semidefinite relaxations via a second lifting for
the {M}ax-{C}ut problem},
NOTE = {Foundations of heuristics in combinatorial optimization},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {119},
YEAR = {2002},
NUMBER = {1-2},
PAGES = {79--106},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C27 (68Q99 68R10 90C22)},
MRNUMBER = {MR1892412 (2003c:90084)},
MRREVIEWER = {Konrad Engel},
}
############ YEAR 1999
@article{wolkgap:99,
author = "H. Wolkowicz",
TITLE = {A note on lack of strong duality for quadratic problems with
orthogonal constraints},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {356--364},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C20 (90C46)},
MRNUMBER = {MR1940977 (2003h:90044)},
MRREVIEWER = {Franz Rendl},
}
@article{NaWoZh:97,
author = "J.L. Nazareth and H. Wolkowicz and M. Zhu",
TITLE = {The quasi-{C}auchy relation and diagonal updating},
NOTE = {Dedicated to John E. Dennis, Jr., on his 60th birthday},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {9},
YEAR = {1999},
NUMBER = {4},
PAGES = {1192--1204 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90Cxx (65Fxx)},
MRNUMBER = {1 724 783},
}
@incollection {MR1846167,
AUTHOR = {Anjos, Miguel F. and Wolkowicz, Henry},
TITLE = {Strengthened semidefinite programming relaxations for the
max-cut problem},
BOOKTITLE = {Advances in convex analysis and global optimization
(Pythagorion, 2000)},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {54},
PAGES = {409--420},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2001},
MRCLASS = {90C22 (90C27 90C57)},
MRNUMBER = {MR1846167},
}
############ YEAR 1998
@article{AnChWoYu:98,
author="K.M. Anstreicher and X. Chen and H. Wolkowicz and Y. Yuan",
TITLE = {Strong duality for a trust-region type relaxation of the
quadratic assignment problem},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {301},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {121--136},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90Cxx},
MRNUMBER = {1 728 045}
}
@article{AnWo:98,
author="K.M. Anstreicher and H. Wolkowicz",
title = "On {L}agrangian relaxation of
quadratic matrix constraints",
journal = simax,
volume = "22",
number = "1",
institution="University of Waterloo",
address="Waterloo, Ontario",
year="2000",
pages = "41-55",
}
@article{KrMuReVaWo:98,
author = " S. Kruk and M. Muramatsu and
F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {The {G}auss-{N}ewton direction in semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {15},
YEAR = {2001},
NUMBER = {1},
PAGES = {1--28},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1891034 (2003b:90063)},
MRREVIEWER = {Marina Alex Epelman},
}
@article{KrWo:98,
AUTHOR = {Kruk, S. and Wolkowicz, H.},
TITLE = {Pseudolinear programming},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review},
VOLUME = {41},
YEAR = {1999},
NUMBER = {4},
PAGES = {795--805 (electronic)},
ISSN = {1095-7200},
MRCLASS = {90C08 (90C30)},
MRNUMBER = {2000f:90030},
}
############ YEAR 1997
@article{Wolk:image98,
author="Wolkowicz, H.",
title="Semidefiniteness of a sum: Problem Solution 19-5.5",
journal="IMAGE, The Bulletin of ILAS",
volume="20",
year="1998",
pages="30-31"
}
@article{AlKaWo:97,
author = "A. Alfakih and A. Khandani and H. Wolkowicz",
TITLE = {Solving {E}uclidean distance matrix completion problems
via
semidefinite programming},
NOTE = {A tribute to Olvi Mangasarian},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {12},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {13--30},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C22 (90C25)},
MRNUMBER = {2000e:90042},
MRREVR = {Christian Michelot},
}
@inproceedings{KrWo:97,
author="S. Kruk and H. Wolkowicz",
TITLE = {{S}{Q}$^2${P}, sequential quadratic
constrained quadratic programming},
BOOKTITLE = {Advances in {N}onlinear {P}rogramming (Beijing, 1996)},
PAGES = {177--204},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1998},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {99f:90128},
}
############ YEAR 1996
@article{WoZh:96,
author="H. Wolkowicz and Q. Zhao",
TITLE = {Semidefinite programming relaxations for the graph
partitioning
problem},
NOTE = {Selected for the special Editors' Choice, Edition 1999},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
Optimization and Computer Science},
VOLUME = {96/97},
YEAR = {1999},
PAGES = {461--479},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C35 (15A48 90C22)},
MRNUMBER = {1 724 735},
MRREVR = {Franz Rendl},
}
}
@article{KaReWoZh:94,
author="Q. Zhao and S.E. Karisch and F. Rendl and H. Wolkowicz",
TITLE = {Semidefinite programming relaxations for the quadratic
assignment problem},
NOTE = {Semidefinite programming and interior-point approaches
for
combinatorial optimization problems (Fields Institute,
Toronto, ON, 1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {71--109},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C26)},
MRNUMBER = {99f:90103},
MRREVR = {Yin Zhang},
}
############ YEAR 1995
@article{JoKrWo:95,
author = "C.R. Johnson and B. Kroschel and H. Wolkowicz",
TITLE = {An interior-point method for approximate positive
semidefinite
completions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {9},
YEAR = {1998},
NUMBER = {2},
PAGES = {175--190},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C25 (90C20)},
MRNUMBER = {99a:90154},
MRREVR = {Michael L. Dowling},
}
@article{RaTuWo:95,
author = "M.V. Ramana and L. Tun{\c{c}}el and H. Wolkowicz",
TITLE = {Strong duality for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3},
PAGES = {641--662},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (49M35 49N15)},
MRNUMBER = {98m:90147},
MRREVR = {J.M. Borwein},
}
@incollection{HePoReWo:95,
author="C. Helmberg and S. Poljak
and F. Rendl and H. Wolkowicz",
TITLE = {Combining semidefinite and polyhedral relaxations for
integer
programs},
BOOKTITLE = {Integer {P}rogramming and {C}ombinatorial {O}ptimization
(Copenhagen,
1995)},
PAGES = {124--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {1 367 976},
}
############ YEAR 1994
@article{ReWo:94,
author = "F. Rendl and H. Wolkowicz",
TITLE = {A semidefinite framework for trust region subproblems with
applications to large scale minimization},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2, Ser. B},
PAGES = {273--299},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C20 (90C33)},
MRNUMBER = {98i:90063},
MRREVR = {M. Teboulle},
}
@article {PoReWo:94,
author = "S. Poljak and F. Rendl and H. Wolkowicz",
TITLE = {A recipe for semidefinite relaxation for
$(0,1)$-quadratic
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science, Management
and
Engineering},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {51--73},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C09 (90C27)},
MRNUMBER = {96d:90053},
MRREVR = {Paulo Barcia},
}
@article {HeReVaWo:93,
author = "C. Helmberg and F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {An interior-point method for semidefinite
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {97f:90086},
MRREVR = {Tam{\'a}s Terlaky},
}
@incollection{prw:93,
author="P. Pardalos and F. Rendl and H. Wolkowicz",
TITLE = {The quadratic assignment problem: a survey and recent
developments},
editor = "P.M. Pardalos and H. Wolkowicz",
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ,
1993)},
PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90B80 (90C10 90C27)},
MRNUMBER = {95f:90040},
MRREVR = {Horst W. Hamacher},
}
############ YEAR 1993
@ARTICLE {FaReWo:92,
author = "J. Falkner and F. Rendl and H. Wolkowicz",
TITLE = {A computational study of graph partitioning},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {211--239},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
MRNUMBER = {95h:90153},
MRREVR = {Yixun Lin},
}
@article{sw5,
author="R. Stern and H. Wolkowicz",
TITLE = {Trust region problems and nonsymmetric eigenvalue
perturbations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {15},
YEAR = {1994},
NUMBER = {3},
PAGES = {755--778},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A18 (15A42 49R05)},
MRNUMBER = {95f:15009},
MRREVR = {Gerd M. Krause},
}
@article{StWo:93,
author="R. Stern and H. Wolkowicz",
TITLE = {Indefinite trust region subproblems and nonsymmetric
eigenvalue
perturbations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {2},
PAGES = {286--313},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C20 (65F15 65K05)},
MRNUMBER = {96h:90077},
MRREVR = {Panos M. Pardalos},
}
@incollection{KaReWo:93,
author="S.E. Karisch and F. Rendl and H. Wolkowicz",
editors="P. Pardalos and H. Wolkowicz",
TITLE = {Trust regions and relaxations for the quadratic
assignment problem},
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ, 1993)},
PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {95j:90053},
MRREVR = {Igor Litvinchev},
}
@article{ReWo:90,
author = "F. Rendl and H. Wolkowicz",
TITLE = {A projection technique for partitioning the nodes of a
graph},
NOTE = {Applied mathematical programming and modeling, II (APMOD
93)
(Budapest, 1993)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {58},
YEAR = {1995},
PAGES = {155--179},
ISSN = {0254-5330},
MRCLASS = {90C35 (05C99)},
MRNUMBER = {96g:90096},
MRREVR = {Xue Liang Li},
}
@article {PoWo:93,
author = "S. Poljak and H. Wolkowicz",
TITLE = {Convex relaxations of $(0,1)$-quadratic
programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {20},
YEAR = {1995},
NUMBER = {3},
PAGES = {550--561},
ISSN = {0364-765X},
MRCLASS = {90C09 (90C20)},
MRNUMBER = {97b:90078},
}
@article{w13,
author="H. Wolkowicz",
TITLE = {Measures for symmetric rank-one updates},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {19},
YEAR = {1994},
NUMBER = {4},
PAGES = {815--830},
ISSN = {0364-765X},
MRCLASS = {90C30 (65F05 65K05)},
MRNUMBER = {95h:90143},
}
@article{WoZh:93,
author="H. Wolkowicz and Q. Zhao",
TITLE = {An all-inclusive efficient region of updates for least
change
secant methods},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {1},
PAGES = {172--191},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {95k:90096},
MRREVR = {Bernd Luderer},
}
@article{Wolk:93,
author="H. Wolkowicz",
TITLE = {Explicit solutions for interval semidefinite linear
programs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {236},
YEAR = {1996},
PAGES = {95--104},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C26 (65G10 90C08)},
MRNUMBER = {96m:90058},
MRREVR = {Florian Jarre},
}
@article {ReVaWo:93b,
author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
title = "Max-min eigenvalue problems, primal-dual
interior point algorithms, and trust region subproblems",
institution = "Department of Combinatorics and Optimization",
year = "1995",
pages = "1-16",
volume = "5",
journal = oms,
address = "Waterloo, Ont"}
@article{DeWo:90,
author="J.E. {Dennis Jr.} and H. Wolkowicz",
TITLE = {Sizing and least-change secant methods},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {30},
YEAR = {1993},
NUMBER = {5},
PAGES = {1291--1314},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {90C30 (49M37 65K05)},
MRNUMBER = {94g:90107},
}
############ YEAR 1992
@article{HaReWo:89,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
TITLE = {A new lower bound via projection for the quadratic
assignment
problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {17},
YEAR = {1992},
NUMBER = {3},
PAGES = {727--739},
ISSN = {0364-765X},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {93i:90080},
MRREVR = {M. C. Puri},
}
@article{hrw2,
author="S.W. Hadley and F. Rendl and H. Wolkowicz",
TITLE = {Symmetrization of nonsymmetric quadratic assignment
problems
and the {H}offman-{W}ielandt inequality},
NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {167},
YEAR = {1992},
PAGES = {53--64},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (15A42 90B80)},
MRNUMBER = {93d:90050},
MRREVR = {Rainer Burkard},
}
@article{jw2,
author="Jeyakumar, V. and Wolkowicz, H.",
TITLE = {Generalizations of {S}later's constraint qualification for
infinite convex programs},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {1, Ser. B},
PAGES = {85--101},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48 (49N15 90C25)},
MRNUMBER = {93e:90070},
MRREVR = {Doug Ward},
}
@inproceedings{biw,
author="Ben-Israel, A. and Wolkowicz, H.",
title="A recursive volume reducing algorithm for semi-infinite
linear programming",
year="1992",
booktitle="Systems and Management Science by Extremal Methods",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
note="invited paper"
}
############ YEAR 1991
############ YEAR 1990
@inproceedings{hrw4,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
title="Bounds for the quadratic assignment problems using continuous
optimization",
year="1990",
booktitle="Integer Programming and Combinatorial Optimization",
publisher="University of Waterloo Press",
pages="237-248",
address="Waterloo, Ontario, Canada",
editors="W.R. Pulleyblank and Ravi Kannan"
}
@article{jw1,
author="Jeyakumar, V. and Wolkowicz, H.",
TITLE = {Zero duality gaps in infinite-dimensional programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {67},
YEAR = {1990},
NUMBER = {1},
PAGES = {87--108},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49N15 (90C48)},
MRNUMBER = {92a:49062},
MRREVR = {R. N. Kaul},
}
@article{stw4,
author="Stern, R.J. and Wolkowicz, H.",
title="Results on invariant cones",
journal=laa,
note="Proceedings from the Haifa Matrix Theory Conference, June 1990",
year="1991",
volume="166",
pages="1-26"
}
############ YEAR 1989
@article{BeatsonWolk:89,
author="R. BEATSON and H. Wolkowicz",
TITLE = {Post-processing piecewise cubics for monotonicity},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {26},
YEAR = {1989},
NUMBER = {2},
PAGES = {480--502},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {65D07 (41A05 41A25)},
MRNUMBER = {90i:65019},
MRREVR = {Zhen Xiang Xiong},
}
@article{ReWo:89,
author="Rendl, F. and Wolkowicz, H.",
TITLE = {Applications of parametric programming and eigenvalue
maximization to the quadratic assignment problem},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {53},
YEAR = {1992},
NUMBER = {1, Ser. A},
PAGES = {63--78},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (90C20 90C30)},
MRNUMBER = {93c:90098},
MRREVR = {M. C. Puri},
}
############ YEAR 1988
@article{swz,
author="Sutherland, W.R.S. and Wolkowicz, H. and Zeidan, V.",
TITLE = {An explicit linear solution for the quadratic dynamic
programming problem},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {58},
YEAR = {1988},
NUMBER = {2},
PAGES = {319--330},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49C20 (49D40 90C39 93C55)},
MRNUMBER = {89e:49023},
}
############ YEAR 1987
@incollection{ws5,
author="Wolkowicz, H. and Styan, G.P.H.",
title= "{S}amuelson's Inequality",
booktitle="Encyclopedia of Statistical Sciences",
year="1987",
editor=" S. Kotz and N. Johnson",
publisher="Wiley-Interscience",
Volume="8",
note="invited paper"
}
@article{gjmw4,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Normal matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {87},
YEAR = {1987},
PAGES = {213--225},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57},
MRNUMBER = {88a:15045},
MRREVR = {L. Rodman},
}
############ YEAR 1986
@article{smw2,
author="SMITH, P.W. and Wolkowicz, H.",
TITLE = {A nonlinear equation for linear programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {34},
YEAR = {1986},
NUMBER = {2},
PAGES = {235--238},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C05},
MRNUMBER = {87j:90082},
}
@article{BoWo:86,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {A simple constraint qualification in infinite-dimensional
programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {35},
YEAR = {1986},
NUMBER = {1},
PAGES = {83--96},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48},
MRNUMBER = {87i:90321},
MRREVR = {W. W. Breckner},
}
@article{gjmw3,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and
Wolkowicz, H.",
TITLE = {A note on maximizing the permanent of a positive definite
{H}ermitian matrix, given the eigenvalues},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {19},
YEAR = {1986},
NUMBER = {4},
PAGES = {389--393},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A15},
MRNUMBER = {88b:15006},
MRREVR = {H. Minc},
}
############ YEAR 1985
@article{mw,
author="J. Merikoski and H. Wolkowicz",
TITLE = {Improving eigenvalue bounds using extra bounds},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {68},
YEAR = {1985},
PAGES = {93--113},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {87e:15038},
}
@article{lw,
author="M. Lamoureux and H. Wolkowicz",
TITLE = {Numerical decomposition of a convex function},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {47},
YEAR = {1985},
NUMBER = {1},
PAGES = {51--64},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25 (26A51)},
MRNUMBER = {87a:90107},
MRREVR = {Jacques A. Ferland},
}
@article{jkw,
author="Johnson, C.R. and Kumar, R. and Wolkowicz, H.",
TITLE = {Lower bounds for the spread of a matrix},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {71},
YEAR = {1985},
PAGES = {161--173},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42},
MRNUMBER = {87a:15027},
MRREVR = {Thomas L. Markham},
}
@article{bjw,
author="Butler, G. and Johnson, C.R. and Wolkowicz, H.",
TITLE = {Nonnegative solutions of a quadratic matrix equation
arising
from comparison theorems in ordinary differential
equations},
JOURNAL = {SIAM J. Algebraic Discrete Methods},
FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Algebraic and Discrete Methods},
VOLUME = {6},
YEAR = {1985},
NUMBER = {1},
PAGES = {47--53},
ISSN = {0196-5212},
CODEN = {STAMDU},
MRCLASS = {34C11 (15A48)},
MRNUMBER = {86f:34072},
MRREVR = {G. J. Etgen},
}
############ YEAR 1984
@article{smw1,
author="Smith, P.W. and Wolkowicz, H.",
TITLE = {Dimensionality of bi-infinite systems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {57},
YEAR = {1984},
PAGES = {115--130},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A21 15A54 41A05)},
MRNUMBER = {86c:15010},
}
@article{gjmw2,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Improving {H}adamard's inequality},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {16},
YEAR = {1984},
NUMBER = {1-4},
PAGES = {305--322},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A42 (15A15 15A45)},
MRNUMBER = {87b:15024},
}
@article{GrJoSaWo:84,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
@article{Grone,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
############ YEAR 1983
@article{msw,
author="Merikoski, J. and Styan, G.P.H. and Wolkowicz, H.",
TITLE = {Bounds for ratios of eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {55},
YEAR = {1983},
PAGES = {105--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {85a:15019},
MRREVR = {Ludwig Elsner},
}
@incollection{w5,
author ="H. Wolkowicz",
TITLE = {Optimality conditions and shadow prices},
BOOKTITLE = {Mathematical programming with data perturbations, II
(Washington, D.C., 1980)},
PAGES = {49--63},
PUBLISHER = {Dekker},
ADDRESS = {New York},
YEAR = {1983},
MRCLASS = {90C25},
MRNUMBER = {85b:90056},
MRREVR = {J. E. Spingarn},
}
@article{w4,
author="H. Wolkowicz",
TITLE = {Method of reduction in convex programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {40},
YEAR = {1983},
NUMBER = {3},
PAGES = {349--378},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {85d:90077},
MRREVR = {S. Zlobec},
}
@article{w3,
author="H. Wolkowicz",
TITLE = {An optimality condition for a nondifferentiable convex
program},
JOURNAL = {Naval Res. Logist. Quart.},
FJOURNAL = {Naval Research Logistics Quarterly},
VOLUME = {30},
YEAR = {1983},
NUMBER = {3},
PAGES = {415--418},
ISSN = {0028-1441},
CODEN = {NRLQAR},
MRCLASS = {90C25},
MRNUMBER = {85a:90181},
}
############ YEAR 1982
@article{bw4,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterizations of optimality without constraint
qualification for the abstract convex program},
NOTE = {Optimality and stability in mathematical programming},
JOURNAL = {Math. Programming Stud.},
FJOURNAL = {Mathematical Programming Study},
volume = {19},
YEAR = {1982},
PAGES = {77--100},
ISSN = {0303-3929},
CODEN = {MPSTDF},
MRCLASS = {90C25},
DOI = {10.1007/BFb0120983},
MRNUMBER = {83k:90083},
URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/q484808423l21876/}
}
############ YEAR 1981
@article{w12,
author="H. Wolkowicz",
TITLE = {A strengthened test for optimality},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {35},
YEAR = {1981},
NUMBER = {4},
PAGES = {497--515},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {84d:90088},
MRREVR = {Szymon Dolecki},
}
@article{bw1,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Facial reduction for a cone-convex programming problem},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {3},
PAGES = {369--380},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C25},
MRNUMBER = {83b:90121},
MRREVR = {B. T. Polyak},
}
@article{bw2,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterization of optimality for the abstract convex
program
with finite-dimensional range},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {4},
PAGES = {390--411},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C48},
MRNUMBER = {83i:90156},
MRREVR = {R. L. Graves},
}
@article{bw3,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Regularizing the abstract convex program},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {83},
YEAR = {1981},
NUMBER = {2},
PAGES = {495--530},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C48 (90C25)},
MRNUMBER = {83d:90236},
MRREVR = {S. Zlobec},
}
@article{w11,
author="H. Wolkowicz",
TITLE = {Some applications of optimization in matrix theory},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {40},
YEAR = {1981},
PAGES = {101--118},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C25 (15A48 65K05 90C05)},
MRNUMBER = {84a:90067},
}
@inproceedings{bw6,
author="J.M. Borwein and H. Wolkowicz",
title="Cone-convex programming stability and affine constraint functions",
year="1981",
booktitle="Generalized Concavity in Optimization and Economics",
publisher="Academic Press",
pages="379-397",
note="invited paper",
organization="NATO conference"
}
############ YEAR 1980
@article{w8,
author="H. Wolkowicz",
TITLE = {Geometry of optimality conditions and constraint
qualifications: the convex case},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {19},
YEAR = {1980},
NUMBER = {1},
PAGES = {32--60},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C25},
MRNUMBER = {83b:90130},
}
@article{ws3,
author="Wolkowicz, H. and Styan, G.P.H",
title="A history of {S}amuelson's inequality",
journal=amers,
year="1980",
volume="34",
pages="250"
}
@article{w10,
author="H. Wolkowicz",
TITLE = {Shadow prices for an unstable convex program},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied
Mathematics, Computer Science, and Statistics},
VOLUME = {18},
YEAR = {1980},
PAGES = {119--139},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {90C25},
MRNUMBER = {82d:90100},
MRREVR = {Roger Hartley},
}
@article{ws1,
author="Wolkowicz, H. and Styan, G.P.H",
TITLE = {More bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {31},
YEAR = {1980},
PAGES = {1--17},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18 (65F15)},
MRNUMBER = {81k:15016},
MRREVR = {J. Segethov{\'a}},
}
@article{ws2,
author="Wolkowicz, H. and Styan, G.P.H.",
TITLE = {Bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {29},
YEAR = {1980},
PAGES = {471--506},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18},
MRNUMBER = {81k:15015},
MRREVR = {M. Shafqat Ali},
}
@article{w2,
author="H. Wolkowicz",
TITLE = {Convex programs with equivalent duals},
JOURNAL = {Appl. Math. Notes},
FJOURNAL = {Applied Mathematics Notes},
VOLUME = {5},
YEAR = {1980},
NUMBER = {2},
PAGES = {45--62},
ISSN = {0700-9224},
MRCLASS = {90C25},
MRNUMBER = {81h:90121},
}
############ YEAR 1979
@article{ws4,
author="Wolkowicz, H. and Styan, G.P.H.",
TITLE = {Extensions of {S}amuelson's inequality},
JOURNAL = {Amer. Statist.},
FJOURNAL = {The American Statistician},
VOLUME = {33},
YEAR = {1979},
NUMBER = {3},
PAGES = {143--144},
ISSN = {0003-1305},
CODEN = {ASTAAJ},
MRCLASS = {62G30 (60E15)},
MRNUMBER = {80h:62038},
}
@article{w1,
author="H. Wolkowicz",
TITLE = {Calculating the cone of directions of constancy},
JOURNAL = {J. Optim. Theory Appl.},
VOLUME = {25},
YEAR = {1978},
NUMBER = {3},
PAGES = {451--457},
MRCLASS = {90C25},
MRNUMBER = {58 #25996},
}
@article{wz,
author="Wolkowicz, H. and Zlobec, S.",
TITLE = {Calculating the best approximate solution of an operator
equation},
JOURNAL = {Math. Comp.},
VOLUME = {32},
YEAR = {1978},
NUMBER = {144},
PAGES = {1183--1213},
MRCLASS = {65J05 (47A50)},
MRNUMBER = {58 #13701},
MRREVR = {P. M. Anselone},
}
@article{stw3,
author="Stern, R.J. and H. Wolkowicz",
TITLE = {A note on generalized invariant cones and the {K}ronecker
canonical form},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {147},
YEAR = {1991},
PAGES = {97--100},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A18 15A48)},
MRNUMBER = {92e:15018},
}
@article{stw2,
author="Stern, R.J. and Wolkowicz, H.",
TITLE = {Exponential nonnegativity on the ice cream cone},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {12},
YEAR = {1991},
NUMBER = {1},
PAGES = {160--165},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A48},
MRNUMBER = {92j:15013},
MRREVR = {Raphael Loewy},
}
@article{stw1,
author="Stern, R.J. and Wolkowicz, H.",
TITLE = {Invariant ellipsoidal cones},
BOOKTITLE = {Proceedings of the First Conference of the International
Linear
Algebra Society (Provo, UT, 1989)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {150},
YEAR = {1991},
PAGES = {81--106},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {92h:15014},
MRREVR = {Raphael Loewy},
}
############
#### Problems and Solutions
######
%Refereed Problems and Solutions
@article{Wolk:siam94,
author="Wolkowicz, H.",
title="Problem Solution 93-17",
journal="SIAM Review",
volume="36",
number="4",
year="1994",
pages="657-659"
}
@article{jww,
author="Johnson, C.R. and Wolkowicz, G. and Wolkowicz, H.",
title= "Elem. Prob. E. 3234",
journal=amerm,
year="1987",
volume="94",
pages="877"
}
@article{bsw,
author="Borwein, J.M. and Styan, G.P.H. and Wolkowicz, H.",
title="Some inequalities involving statistical expressions",
journal="SIAM Review",
year="1982",
volume="24",
pages="340-342"
}
@article{w14,
author="H. Wolkowicz",
title="A constrained matrix optimization problem",
journal="SIAM Review 23",
year="1981",
volume="101"
}
############
#### THESES
######
@phdthesis{w15,
author="H. Wolkowicz",
title="Constructive approaches to approximate solutions of
operator equations and convex programming",
school="McGill University",
year="1978"
}
@mastersthesis{w9,
author="H. Wolkowicz",
title= "Kantorovich's general theory of approximation methods",
school="McGill University",
year="1975",
note="M.Sc. Thesis"
}
############
#### Unpublished Research Reports... book reviews ... problems ...
######
@article{piccwolk:05,
author="Piccialli, V. and Wolkowicz, H.",
title= "Solution to Problem 34-6.1",
journal="{IMAGE}-The Bulletin of the International
Linear Algebra Society",
year="2005",
volume="35",
pages="33-34"
}
@article{wolkieee:2006,
author="H. Wolkowicz",
title = "Book Review of: {O}ptimization: {I}nsights and {A}pplications, by
{B}rinkhuis and {T}ikhomirov",
journal="IEEE Control Systems Magazine",
pages = "",
year="2007",
}
@techreport{AlWo:98,
author = "A. Alfakih and H. Wolkowicz",
title = "On the embeddability of weighted graphs in
{E}uclidean spaces",
institution = "University of Waterloo",
number = "CORR 98-12",
year = "1998",
}
@techreport{Wo:00,
author = "A. Alfakih and H. Wolkowicz",
title = "A New Semidefinite Programming Model
for Large Sparse
{E}uclidean Distance Matrix Completion Problems",
institution = "University of Waterloo",
number = "CORR 2000-37",
year = "2000",
address = "Waterloo, Canada"
}
@techreport{CheungKrislWo:10,
author = "Cheung, Y-L. and Krislock, N. and Wolkowicz, H.",
title = "Facial Reduction for Compressive Sensing",
institution="University of Waterloo",
number="CORR 2010",
note = "in progress",
address="Waterloo, Ontario",
year="2010"
}
@techreport{AnWo:99,
author="M.F. Anjos and H. Wolkowicz",
title = "A STRENGTHENED {SDP} RELAXATION via a SECOND LIFTING
for the {M}AX-{C}UT PROBLEM",
institution="University of Waterloo",
number="CORR 99-55",
note = "28 pages",
address="Waterloo, Ontario",
year="1999",
}
@techreport{GrKrReWo:98,
author="G. Gruber and S. Kruk and F. Rendl and H. Wolkowicz",
title = "Presolving for
Semidefinite Programs Without
Constraint Qualifications",
institution="University of Waterloo",
number="CORR 98-32",
address="Waterloo, Ontario",
year="1998",
}
@techreport{AnjosHighWolk:01,
author="M.F. Anjos and N. Krislock and M. Takouda and H. Wolkowicz",
title = "A semidefinite programming approach for the closest
correlation matrix problem",
institution="University of Waterloo",
number="in progress",
address="Waterloo, Ontario",
year="2009",
}
@techreport{KrislockRendlWolk:10,
author = "Krislock, N. and Rendl, F. and Wolkowicz, H.",
title = "Noisy Sensor Network Localization
using Semidefinite Representations and Facial Reduction",
institution="University of Waterloo",
number="CORR 2010-01, in progress",
address="Waterloo, Ontario",
year="2010"
}
@article {MR2295140forward,
AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
}
@techreport{hw,
author="Hadley, S.W. and Wolkowicz, H.",
title="The {H}essian of a function of the eigenvalues",
institution="University of Waterloo",
year="1988",
type="Unpublished Research Report"
}
@techreport{wb2,
author="Wolkowicz, H. and Ben-Israel, A.",
title="Taking advantage of degeneracy in linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-23"
}
@techreport{wb1,
author="Wolkowicz, H. and Ben-Israel, A.",
title="A volume and constraint reducing algorithm for linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-29"
}
@techreport{h9,
author="H. Wolkowicz",
title="Generating eigenvalue bounds using optimization",
institution="University of Waterloo",
year="1985",
type="Unpublished Research Report"
}
@techreport{scw,
author="Schoettle, C. and Wolkowicz, H.",
title="The teaching assignment problem",
institution="Emory University",
year="1985",
type="Unpublished Research Report"
}
@techreport{gjmw5,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
title="Constrained ranges of sesquilinear forms",
institution="University of Waterloo",
year="1983",
type="Unpublished Research Report"
}
@techreport{w7,
author="H. Wolkowicz",
title="Bounds for the {K}antorovich ratio",
institution="The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{maw,
author="H. Massam and H. Wolkowicz",
title= "Regularization and convex approximation",
institution=" The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{w6,
author="H. Wolkowicz",
title="Optimality and the cone of affine directions",
institution=" The University of Alberta",
year="1980",
type="Unpublished Research Report"
}
%Other:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%Research Reports and Preface and Book Reviews etc...%%%%%%%%%%%%%%%%%
@techreport{FortinWolk:01,
author = "C. Fortin and H. Wolkowicz",
title = "A Survey of the Trust Region Subproblem Within a
Semidefinite Programming Framework",
institution = "University of Waterloo",
number = "CORR 2002-22",
year = "2002",
note="URL:http://orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#surveytrs",
address = "Waterloo, Canada"
}
@techreport{AlWolk:02,
author = "A. Alfakih and H. Wolkowicz",
title = "{E}uclidean Distance Matrices and the
Molecular Conformation Problem",
institution="University of Waterloo",
number="17",
address="Waterloo, Ontario",
year="2002"
}
@techreport{Wolk:02,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
institution="University of Waterloo",
number="4",
address="Waterloo, Ontario",
year="2002"
}
@techreport{ReSoWo:02,
author = "F. Rendl and R. Sotirov and H. Wolkowicz",
title = "A Note on a Simplified {HKM} Direction
for Special Classes of {SDP}",
institution = "University of Waterloo",
number = "CORR Report 2002-16",
year = "2002",
address = "Waterloo, Canada"
}
@techreport{KrPiWo:06,
author = "Krislock, N. and Piccialli, V. and H. Wolkowicz",
title = "Robust Semidefinite Programming Approaches for
Sensor Network Localization with Anchors",
institution="University of Waterloo",
number="CORR 2006-12",
note="URL:orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#sensorKPW",
address="Waterloo, Ontario",
year="2006"
}
@article {MR2295140,
AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
}
@article {MR2290680,
AUTHOR = {
R. Bhatia and R. Guralnick and S. Kirkland and
H. Wolkowicz},
TITLE = {Preface to the 12th {ILAS} {C}onference {P}roceedings,
{R}egina 2005},
NOTE = {Held in Regina, SK, June 26--29, 2005},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {421},
YEAR = {2007},
NUMBER = {1},
PAGES = {1--2},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15-06},
MRNUMBER = {MR2290680},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Graduate Students Theses:
@phdthesis{Cheung:2013,
author="Y.-L. Cheung",
title="Preprocessing and Reduction for Semidefinite Programming via
Facial Reduction: Theory and Practice",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisvrisnov13.pdf},
year="2013"
}
@phdthesis{Lin:2013,
author="M. Lin",
title="Angles, Majorization, Wielandt Inequality and Applications",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesismingmay613.pdf},
year="2013"
}
@phdthesis{krislock:2010,
author="N. Krislock",
title="Semidefinite Facial Reduction for Low-Rank Euclidean Distance
Matrix Completion",
school="University of Waterloo",
URL={http://uwspace.uwaterloo.ca/handle/10012/5093},
year="2010"
}
@phdthesis{wei:2005,
author="H. Wei",
title="Numerical Stability in
Linear Programming and Semidefinite Programming",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#weithesis},
year="2006"
}
@phdthesis{MarinaThesis,
author="M. Potaptchik",
title="Portfolio Selection Under Nonsmooth Convex
Transaction Costs",
school="University of Waterloo",
year="2006"
}
@phdthesis{Kruk:01,
author="S. Kruk",
title="High Accuracy Algorithms for the Solutions of Semidefinite
Linear Programs",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01},
year="2001"
}
@mastersthesis{Oleg:04,
author="O. Grodzevich",
title="Regularization Using a Parameterized Trust Region Subproblem",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#regularizthesis},
year="2004"
}
@mastersthesis{Yichuan:07,
author="Y. Ding",
title="On Efficient Semidefinite Relaxations for Quadratically
Constrained Quadratic Programming",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#yichuanthesis},
year="2007"
}
@mastersthesis{Danielc:10,
author="X. Cui",
title="Computing the Nearest Correlation Matrix using Difference Map
Method",
school="University of Waterloo",
year="2010"
}
@mastersthesis{HengYe:11,
author="H. Ye",
title="Efficient Trust Region Subproblem Algorithms",
school="University of Waterloo",
year="2011"
}
@mastersthesis{Fortin:00,
author="C. Fortin",
title="A Survey of the Trust Region Subproblem within a Semidefinite
Framework",
school="University of Waterloo",
year="2000"
}
@mastersthesis{Froh:03,
author="M. Froh",
title="Trust Region Subproblems and Linear Least-Squares
Regularization",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#mikefroh03},
year="2003"
}
@mastersthesis{Kruk:96,
author="S. Kruk",
title="Semidefinite Programming Applied to Nonlinear Programming",
school="University of Waterloo",
year="1996"
}
@phdthesis{zhao:96,
author="Q. Zhao",
title="Semidefinite Programming for Assignment and Partitioning Problems",
school="University of Waterloo",
year="1996"
}
@phdthesis{Anjosthesis,
author="M.F. Anjos",
title="New Convex Relaxations for the Maximum Cut and VLSI Layout
Problems",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01},
year="2001"
}
@mastersthesis{qz,
author="Q. Zhao",
title="Measures for Least Change Secant Methods",
school="University of Waterloo",
year="1993",
}
@mastersthesis{schaecke:04,
author="K. Schaecke",
title="Essay on: The {K}ronecker Product",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#kron04},
year="2004",
}
@mastersthesis{skarisch:92,
author="S.E. Karisch",
title="Trust Regions and the Quadratic Assignment Problem",
school="University of Waterloo",
year="1992"
}
@phdthesis{hadley:89,
author="S.W. Hadley",
title="Continuous Optimization Approaches to the Quadratic Assignment Problem",
school="University of Waterloo",
year="1989"
}
@mastersthesis{lund:88,
author="J. Lund",
title="Optimal Vehicle Replacement Policy",
school="University of Waterloo",
year="1988"
}
@mastersthesis{stephan:85,
author="P. Stephan",
title="An Explicit Solution to the Quadratic Dynamic Programming Problem",
school="Emory University",
year="1985"
}
@mastersthesis{schoettle:85,
author="C. Schoettle",
title="The Teaching Assignment Problem",
school="Emory University",
year="1985"
}
@mastersthesis{kumar:84,
author="R. Kumar",
title="Bounds for Eigenvalues",
school="University of Alberta",
year="1984"
}
.psdpriv.bib 0000600 0010230 0000457 00001536347 12510251621 012667 0 ustar hwolkowi none # This file contains papers related to semidefinite programming, SDP.
# This file is also available at:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
# as part of: Bibliographies on Mathematics
# Bibliography on Semidefinite Programming
# with URL http://liinwww.ira.uka.de/bibliography/Math/psd.html
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
###########
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@mastersthesis {Aarts:99,
author = "L. AARTS",
title = "Primal-Dual Search Directions in Semidefinite
Optimization",
institution = "Delft University of Technology",
year = "1999"}
@article {MR98d:90100,
AUTHOR = {El Abdouni, B. and Thibault, L.},
TITLE = {Optimality conditions for problems with set-valued
objectives},
JOURNAL = {J. Appl. Anal.},
FJOURNAL = {Journal of Applied Analysis},
VOLUME = {2},
YEAR = {1996},
NUMBER = {2},
PAGES = {183--201},
ISSN = {1425-6908},
MRCLASS = {90C29 (49J52)},
MRNUMBER = {98d:90100},
MRREVIEWER = {Tetsuzo Tanino},
}
@TECHREPORT {AdlerAliz:95,
author = "I. ADLER and F. Alizadeh",
title = "Primal-dual interior point algorithms for convex
quadratically constrained and semidefinite optimization problems",
year = "1995",
institution = "Rutcor, Rutgers University",
address = " New Brunswick, NJ"
}
@article{AdlerMonteiro,
author = {I. ADLER and R.D.C. Monteiro},
title = {A geometric view of parametric linear
programming},
journal = {Algorithmica},
volume = 8,
pages = {161-176},
year = 1992}
@article {AgHeMc:88,
author = "J. AGLER and J.W. HELTON and S. McCULLOUGH",
title = "Positive semidefinite matrices with a given
sparsity pattern",
journal = laa,
year = "1988",
volume = "107",
number = "3",
pages = "101-149"
}
@article{214841,
author = {Alpert, C.J. and Kahng, A.B.},
title = {Recent directions in netlist partitioning: a survey},
journal = {Integr. VLSI J.},
volume = {19},
number = {1-2},
year = {1995},
issn = {0167-9260},
pages = {1--81},
doi = {http://dx.doi.org/10.1016/0167-9260(95)00008-4},
publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
}
@PHDTHESIS {Alhom:93,
author = "S. Al-Homidan",
title = "Hybrid methods for optimization problems
with positive semidefinite matrix constraints",
institution = "University of Dundee",
year = "1993"}
@techreport {homidan:03,
author = "M.M. ALSHAHRANI and S. AL-HOMIDAN",
title = "New Formulations of the Hankel Matrix Approximation
Problem",
institution = "King Fahd University of Petroleum \& Minerals",
address = "Dhahran, Saudia Arabia",
year = "2003"
}
@article {homidan:06,
author = "S. AL-HOMIDAN and R. FLETCHER",
title = "Rationalizing Foot and Ankle
Measurements to Conform to a Rigid Body Model",
journal = "Computer Methods in
Biomechanics and Biomedical",
volume = "9",
number = "2",
pages = "103-111",
year = "2006"
}
@article {Alfak:00,
author = "A. ALFAKIH",
title = "Graph rigidity via {E}uclidean distance
matrices",
journal = laa,
year = "2000",
pages = "49-165",
number = "1-3",
volume = "310",
}
@PHDTHESIS {Al:91,
author = "F. Alizadeh",
title = "Combinatorial optimization with interior
point methods and semidefinite matrices",
institution = "University of Minnesota",
year = "1991"}
@INCOLLECTION {Al:92,
author = "F. Alizadeh",
title = "Optimization Over Positive Semi-Definite Cone;
Interior-Point Methods and Combinatorial Applications",
booktitle = "Advances in Optimization and
Parallel Computing",
publisher = "North--Holland",
year = "1992",
editor = "P.M. Pardalos",
pages = "1-25",
}
@techreport {Alizadehnotes:00,
author = "F. Alizadeh",
title = "Lecture Notes on semidefinite programming",
institution = "Rutgers University",
address = " Piscataway, NJ",
note = "URL: karush.rutgers.edu/\~{ }alizadeh/",
year = "2000"
}
@article {Al:94,
author = "F. Alizadeh",
title = "Interior point methods in semidefinite
programming with applications to combinatorial optimization",
journal = siopt,
volume="5",
pages = "13-51",
year = "1995"}
@INPROCEEDINGS {Aliz:92,
author = "F. Alizadeh",
title = "Combinatorial optimization with
semidefinite matrices",
year = "1992",
booktitle = "Proceedings of the Second Annual Integer
Programming and Combinatorial Optimization Conference",
address = "Carnegie-Mellon University"}
@article {MR1971381,
author = {Alizadeh, F. and Goldfarb, D.},
TITLE = {Second-order cone programming},
NOTE = {ISMP 2000, Part 3 (Atlanta, GA)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {95},
YEAR = {2003},
NUMBER = {1, Ser. B},
PAGES = {3--51},
ISSN = {0025-5610},
MRCLASS = {90C08 (90C25)},
MRNUMBER = {MR1971381 (2004j:90060)},
}
@article {Ma11,
author = {S. Ma and D. Goldfarb and L. Chen},
TITLE = {Fixed point and Bregman
iterative methods for matrix rank minimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {128},
YEAR = {2011},
NUMBER = {1-2},
PAGES = {3-21-353},
}
@INPROCEEDINGS {MobTahSotKhan:05,
author = "A. MOBASHER and M. TAHERZADEH and R. Sotirov and
A.K. KHANDANI",
title = "An efficient quasi-maximum likelihood decoding for
finite constellations",
year = "2005",
booktitle = "Conference on Information Sciences and Systems
(CISS)",
address = ""}
@TECHREPORT {Alizadeh:92,
author = "F. Alizadeh",
title = "Semidefinite programming: duality theory,
eigenvalue optimization and combinatorial applications",
year = "1992",
institution = "Stanford University",
note = " Presented at the Fourth SIAM Conference on
Optimization, 1992"
}
@inproceedings {AlHaOv:94,
author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton",
title = "A new primal-dual interior-point method for
semidefinite programming",
booktitle="Proceedings of the Fifth SIAM Conference on Applied Linear
Algebra",
editor = "J.G. Lewis",
year = "1994",
publisher = "SIAM",
pages = "113-117",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming"
}
@article {AlHaOv:95,
author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton",
title = "Complementarity and nondegeneracy in semidefinite
programming",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = mprog,
year = "1997",
volume = "77",
pages = "111-128"
}
@TechReport{AHNOS97,
author = {F.~Alizadeh and J.--P.~Haeberly and
M.V.~NAYAKKANKUPPAM and M.L.~Overton and
S.H. SCHMIETA},
title = {{SDP}pack User's Guide -- Version 0.9 {B}eta},
institution = {Courant Institute of Mathematical Sciences, NYU},
year = 1997,
number = {TR1997--737},
address = {New York, NY},
month = {June}
}
@TechReport{ASch:98,
author = {F.~Alizadeh and S.H. SCHMIETA},
title = {Optimization with Semidefinite, Quadratic and Linear
Constraints},
institution = {RUTCOR, Rutgers University},
year = 1997,
number = {RRR23--97},
address = {New Brunswick, NJ},
month = {November}
}
@TechReport{AlkireVanden:00,
author = {B. ALKIRE and L. Vandenberghe},
title = {Handling Nonnegative Constraints in Spectral
Estimation},
institution = {Electrical Engineering Department, UCLA},
year = {2000},
address = {Los Angeles, CA},
month = {October}
}
@TechReport{AlkireVanden:01,
author = {B. ALKIRE and L. Vandenberghe},
title = {Convex optimization problems involving finite
autocorrelation sequences},
institution = {Electrical Engineering Department, UCLA},
year = {2001},
address = {Los Angeles, CA},
month = {January}
}
@article {An, author = "T. ANDO",
title = "Concavity of certain maps and positive definite
matrices and applications to {H}adamard products",
journal = laa,
year = "1979",
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%BBBBBBBBBBBBBBBBBBBBBBBB
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%FACES of CONE faces of cones
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%EEEEEEEEEEEEE
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%FFFFFFFFFFFFFF
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% GGGGGGG
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MRNUMBER = {2067190 (2005d:68155)},
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# From MathSci search
------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
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%HHHHHHHHHHHHHHHHH
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Bundle Method},
INSTITUTION = {Konrad-Zuse-Zentrum f\"ur Informationstechnik Berlin},
YEAR = 2000,
MONTH = oct,
TYPE = {{ZIB} Preprint 00-35},
ADDRESS = {Takustra{\ss}e 7, 14195 Berlin, Germany},
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AUTHOR = {C. Helmberg and K.C. KIWIEL},
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MONTH = nov,
TYPE = {{ZIB} Preprint SC-99-37},
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%IIIIIIIIIIIIIIIIIIII
@preamble{
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########################Noisy EDM papers
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%LLLLL
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%NNNNNNNNNNNNNNNNNNN
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%OOOOOOOOOOOOOOOOOO
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%PPPPPPPPPPPPPPPP
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%QQQQQQQQQQQQQQQQQQ
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------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
%SSSSSSSSSSS
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%SSSSSSSSSSS
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%TTTTTTT
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%VVVVVVVVVVVVVVV
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% WWWWWWWWWWWWWWWWWWWWWw
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title = "Exploiting sparsity in {SDP} relaxation for sensor
network localization",
journal = siopt,
year = "2009",
volume = "20",
number ="1",
pages = "192--215",
}
@techreport {KimKojimaWakiYama:09,
author = "S. Kim and M. Kojima and H. Waki and M. Yamashita",
title = "A sparse version of full semidefinite programming
relaxation for sensor network localization problems",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
number = "B-457",
year = "2009"
}
@techreport {Kim:2009a,
author = "S. Kim and M. Kojima and H. Waki and M. Yamashita",
title = "A sparse version of full semidefinite programming
relaxation for sensor network localization problems",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
number = "B-457",
year = "2009"
}
@article {MR2735941,
AUTHOR = {Wang, C. and Sun, D. and Toh, K.-C.},
TITLE = {Solving log-determinant optimization problems by a
{N}ewton-{CG} primal proximal point algorithm},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {20},
YEAR = {2010},
NUMBER = {6},
PAGES = {2994--3013},
ISSN = {1052-6234},
MRCLASS = {90C06 (65F10 65K10 90C22 90C25)},
MRNUMBER = {2735941},
DOI = {10.1137/090772514},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/090772514},
}
@article {WangZhengBoydYe:06,
author = "Z. Wang and S. Zheng and S. Boyd and Y. Ye",
TITLE = {Further relaxations of the semidefinite programming
approach
to sensor network localization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {19},
YEAR = {2008},
NUMBER = {2},
PAGES = {655--673},
ISSN = {1052-6234},
MRCLASS = {90C22 (65K05)},
MRNUMBER = {MR2425034},
}
@article {Wang:2008,
author = "Z. Wang and S. Zheng and S. Boyd and Y. Ye",
TITLE = {Further relaxations of the semidefinite programming
approach
to sensor network localization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {19},
YEAR = {2008},
NUMBER = {2},
PAGES = {655--673},
ISSN = {1052-6234},
MRCLASS = {90C22 (65K05)},
MRNUMBER = {MR2425034},
}
@techreport{Waterousnotes:11,
author = "J. Watrous",
year = 2011,
title = "Theory of Quantum Information",
institution = "University of Waterloo",
address= "Waterloo, Canada",
note = "Lecture Notes"
}
@inproceedings{1015345,
AUTHOR = {K. WEINBERGER and F. SHA and L. SAUL},
title = {Learning a kernel matrix for nonlinear dimensionality
reduction},
booktitle = {ICML '04: Proceedings of the twenty-first international
conference on Machine learning},
year = {2004},
isbn = {1-58113-828-5},
pages = {106},
location = {Banff, Alberta, Canada},
doi = {doi.acm.org/10.1145/1015330.1015345},
publisher = {ACM Press},
address = {New York, NY, USA},
}
@PHDTHESIS {Wells:95,
author = "C.P. Wells",
title = "An Improved Method for Sampling
of Molecular Conformation Space",
institution = "University of Kentucky",
year = "1995",
}
@techreport {WenYin:10,
author = "Z. Wen and W. Yin",
title = "A FEASIBLE METHOD FOR OPTIMIZATION WITH
ORTHOGONALITY CONSTRAINTS",
institution = "Rice University",
address = "Houston, Tx",
year = "2010"
}
@article {MR2741485,
AUTHOR = {Wen, Z. and Goldfarb, D. and Yin, W.},
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semidefinite programming},
JOURNAL = {Math. Program. Comput.},
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YEAR = {2010},
NUMBER = {3-4},
PAGES = {203--230},
ISSN = {1867-2949},
MRCLASS = {90C22 (90C06)},
MRNUMBER = {2741485},
DOI = {10.1007/s12532-010-0017-1},
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{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s12532-010-0017-1},
}
@PHDTHESIS {William:93,
author = "D.P. Williamson",
title = "On the design of
approximation algorithms for a class of Graph Problems",
institution = "MIT",
year = "1993",
}
@article {MR97a:93032,
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{R}iccati equation of discrete-time optimal control},
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YEAR = {1996},
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PAGES = {660--671},
ISSN = {0018-9286},
CODEN = {IETAA9},
}
@techreport {Wu:98,
author = "Z. WU",
title = "A subgradient algorithm for nonlinear integer
programming",
institution = "Rice University",
address = "Houston, Tx",
keywords = "nonlinear, integer programming",
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}
% XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
@techreport {XuYao:10,
author = "J. Xu, Y. Yao",
title = "A complete algorithm for determining copositive matrices",
institution = "Southest University of Nationalities",
address = "Chengdu, China",
year = "2010"
}
% YYYYYYYYYYYYYYYY
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Yak:65,
author={V.A. Yakubovich},
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theory of nonlinear control systems, {$I$, $II$, $III$}},
journal=arc,
year={1967},
volume={25-26},
number={4},
pages={905-917, 577-592, 753-763},
month=apr
}
@article {MR93g:49026,
AUTHOR = {Yakubovich, V.A.},
TITLE = {Nonconvex optimization problem: the infinite-horizon
linear-quadratic control problem with quadratic
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YEAR = 1992,
NUMBER = 1,
PAGES = {13--22},
ISSN = {0167-6911},
CODEN = {SCLEDC},
}
@article {Ya:73,
AUTHOR = {Yakubovich, V.A.},
TITLE = {Minimization of quadratic functionals under the
quadratic constraints and the necessity of a
frequency condition in the quadratic criterion for
absolute stability of nonlinear control systems},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {209},
YEAR = {1973},
NUMBER = {14},
PAGES = {1039--1042},
}
@article {Ya:71,
AUTHOR = {Yakubovich, V.A.},
TITLE = {The {S}-procedure and duality theorems for nonconvex
problems of quadratic programming},
JOURNAL = {Vestnik Leningrad. Univ.},
FJOURNAL = {Vestnik Leningradskogo Universiteta},
VOLUME = 1973,
YEAR = {1973},
NUMBER = 1,
PAGES = {81--87},
}
@article {Ya:71b,
AUTHOR = {Yakubovich, V.A.},
TITLE = {The {S}-procedure in nonlinear control theory},
JOURNAL = {Vestnik Leningrad. Univ.},
FJOURNAL = {Vestnik Leningradskogo Universiteta},
VOLUME = {4},
YEAR = {1977},
PAGES = {73--93},
note= "English Translation, original Russian publication in Vestnik
Leningradskogo Universiteta, Seriya
Mathematika 62-77, 1971",
}
@article {MR95m:68087,
AUTHOR = {YANNAKAKIS, M.},
TITLE = {On the approximation of maximum satisfiability},
NOTE = {Third Annual ACM-SIAM Symposium on Discrete Algorithms
(Orlando, FL, 1992)},
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YEAR = {1994},
NUMBER = {3},
PAGES = {475--502},
ISSN = {0196-6774},
CODEN = {JOALDV},
}
@article {Yinye:97,
author = "Y. Ye",
title = "Approximating quadratic programming with
bound and quadratic constraints",
institution = "Department of Management Sciences
The University of Iowa",
address = "Iowa city, IA 522542",
keywords = "semidefinite programming;
quadratic programming, cone programming; sdp; coneprog",
VOLUME = {84},
journal = mp,
PAGES = {219-226},
year = "1999"}
@article {Ye-1,
author = "Y. Ye",
TITLE = "On affine scaling algorithms for nonconvex quadratic
programming",
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {56},
YEAR = {1992},
PAGES = {285--300},
}
@book {Yinye:97b,
author = "Y. Ye",
title = "Interior Point Algorithms: Theory and
Analysis",
publisher = "John Wiley \& Sons",
series = "Wiley-Interscience series in
Discrete Mathematics and Optimization",
address = "New York",
year = "1997"}
@incollection {MR2191577,
AUTHOR = {Biswas, P. and Ye, Y.},
TITLE = {A distributed method for solving semidefinite programs
arising
from ad hoc wireless sensor network localization},
BOOKTITLE = {Multiscale optimization methods and applications},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {82},
PAGES = {69--84},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2006},
MRCLASS = {90C22 (90B10)},
MRNUMBER = {MR2191577},
}
@inproceedings {BiswasYe:04,
AUTHOR = {Biswas, P. and Ye, Y.},
TITLE = {Semidefinite programming for ad hoc wireless sensor
network localization},
BOOKTITLE = {Information Processing In Sensor Networks,
Proceedings of the third international symposium on Information
processing in sensor networks},
PAGES = {46--54},
PUBLISHER = {ACM},
isbn = {1-58113-846-6},
ADDRESS = {Berkeley, Calif.},
YEAR = {2004},
}
@inproceedings {Biswas:2004,
AUTHOR = {Biswas, P. and Ye, Y.},
TITLE = {Semidefinite programming for ad hoc wireless sensor
network localization},
BOOKTITLE = {Information Processing In Sensor Networks,
Proceedings of the third international symposium on Information
processing in sensor networks},
PAGES = {46--54},
PUBLISHER = {},
ADDRESS = {Berkeley, Calif.},
YEAR = {2004},
}
@article{biswasliangtohwangye,
author = "Biswas, P. and Liang, T.-C. and Toh, K.-C. and Wang, T.-C.
and Ye, Y.",
title = "Semidefinite Programming Approaches for Sensor Network
Localization with Noisy Distance Measurements",
journal = "IEEE Trans. Autom. Sc. Eng.",
year = "2006",
volume ="3",
pages="360-371",
institution = "Operation Research, Stanford University",
address = "Stanford, CA",
}
@article {MR2398864,
author = "Biswas, P. and Toh, K.-C. and Ye, Y.",
TITLE = {A distributed {SDP} approach for large-scale noisy
anchor-free
graph reailzation with applications to molecular
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JOURNAL = {SIAM J. Sci. Comput.},
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VOLUME = {30},
YEAR = {2008},
NUMBER = {3},
PAGES = {1251--1277},
ISSN = {1064-8275},
MRCLASS = {90C06 (90C22 90C26)},
MRNUMBER = {MR2398864},
}
@techreport{biswasliangtohye:05,
author = "Biswas, P. and Liang, T.-C. and Toh, K.-C. and Ye, Y.",
title = "An {SDP} based approach for anchor-free {3D} graph
realization",
year = "2005",
institution = "Operation Research, Stanford University",
address = "Stanford, CA",
}
@article {MR2015907,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. A.},
TITLE = {An interior-point perspective on sensitivity analysis in
semidefinite programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {28},
YEAR = {2003},
NUMBER = {4},
PAGES = {649--676},
ISSN = {0364-765X},
MRCLASS = {90C31 (90C05 90C22)},
MRNUMBER = {2 015 907},
}
@article {MR2003b:90137,
AUTHOR = {Yildirim, E. Alper and Wright, Stephen J.},
TITLE = {Warm-start strategies in interior-point methods for linear
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {782--810 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C51 (90C05)},
MRNUMBER = {2003b:90137},
MRREVIEWER = {Carla Durazzi},
}
@article {MR2003d:90107,
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TITLE = {An interior-point approach to sensitivity analysis in
degenerate linear programs},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {692--714 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C31 (90C05)},
MRNUMBER = {2003d:90107},
MRREVIEWER = {Sven-{\AA}ke Gustafson},
}
@article {MR2002c:90079,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. Alper and Todd, Michael J.},
TITLE = {Sensitivity analysis in linear programming and
semidefinite
programming using interior-point methods},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {90},
YEAR = {2001},
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ISSN = {0025-5610},
MRCLASS = {90C31 (90C22 90C51)},
MRNUMBER = {2002c:90079},
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}
@article{YildTodd:99,
author = "E.A. YILDIRIM and M.J. Todd",
title = "Sensitivity analysis in linear programming and semidefinite
programming using interior-point methods",
year = "2001",
number = "2",
journal = mprog,
volume = "90",
pages ="229-261",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@techreport{Yild:01,
author = "E.A. YILDIRIM",
title = "An Interior-Point Perspective on Sensitivity Analysis in
Semidefinite Programming",
year = "2001",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@article {Yild:04,
AUTHOR = {YILDIRIM, E.A.},
TITLE = {Unifying optimal partition approach to sensitivity
analysis in conic optimization},
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PAGES = {405--423},
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CODEN = {JOTABN},
MRCLASS = {90C31 (90C05 90C22)},
MRNUMBER = {MR2093850 (2005e:90134)},
MRREVIEWER = {I. M. Stancu-Minasian},
}
% ZZZZZZZZZZZZZZZZZZ
@techreport {Zalinescu:10,
AUTHOR = {Z{\u{a}}linescu, Constantin},
title = "On duality gap in linear conic problems",
institution = "University of Al. I. Cusa",
URL="http://www.optimization-online.org/DB_HTML/2010/09/2737.html",
year = "2010",
address = "Iasi, Romania"
}
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AUTHOR = {Z{\u{a}}linescu, Constantin},
TITLE = {On zero duality gap and the {F}arkas lemma for conic
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}
@TECHREPORT {Zhang:95,
author = "Y. Zhang",
title = "Basic equalities and inequalities in primal-dual
interior-point methods for semidefinite programming",
institution = "Department of Mathematics and Statistics,
University of Maryland Baltimore County",
keywords = "semidefinite programming; cone programming;
sdp;
coneprog",
year = "1995"}
@article {MR89b:15040,
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Beijing Normal University (Natural Science)},
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Author = {Z. Zhu and A. M.-C. So and Y. Ye},
Journal = {SIAM J. Optim.},
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Pages = {3059-3081},
Title = {Universal Rigidity and Edge Sparsification for Sensor
Network Localization},
Volume = {20},
Year = {2010}}
@article {ZhuCosBeas:03,
AUTHOR = {Z. ZHU and D.C. COSTER and L.B. BEASLEY},
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to {D}-optimal Design},
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YEAR = {2003},
VOLUME = {10},
PAGES = {65--76},
}
@techreport {Ziegler:99,
author = "G.M. ZIEGLER",
title = "Lectures on 0/1-polytopes",
institution = "Technische Universitat Berlin",
year = "1999",
address = "Berling, Germany"
}
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author = "A.D. ZIEBUR",
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journal = laa,
year = "1998",
volume = "283",
pages = "87-97"}
@TECHREPORT {ZoBySch:96,
author = "Z. ZOU and R.H. BYRD and R.B. SCHNABEL",
title = "A stochastic/perturbation global optimization
algorithm for distance geometry problems",
institution = "Dept. of Computer Science, University of
Colorado",
year = "1996",
address = "Boulder, Co"}
@article {MR2219133,
AUTHOR = {Zuluaga, L.F. and Vera, J. and Pe{\~n}a, J.},
TITLE = {L{MI} approximations for cones of positive semidefinite
forms},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {16},
YEAR = {2006},
NUMBER = {4},
PAGES = {1076--1091 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C25 90C30 90C34)},
MRNUMBER = {MR2219133 (2006m:90121)},
MRREVIEWER = {Didier Henrion},
}
# distance matrix references
@INCOLLECTION{lh82,
AUTHOR ="J. De Leeuw and W. Heiser",
EDITOR ="P. R. Krishnaiah and L. N. Kanal",
TITLE ="Theory of multidimensional scaling",
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YEAR=1982,
VOLUME =2 }
@ARTICLE{cri88,
AUTHOR ="F. Critchley",
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YEAR=1988 }
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AUTHOR ="Hayden, T.L. and Wells, J. and Liu, W.M. and Tarazaga, P.",
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JOURNAL=laa,
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PAGES ={153--169} ,
YEAR=1991 }
##### bib entries from Levent Tuncel follow
##### This will cause duplication which will be straightened out later
@article {MR2003j:90035,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {On the finite convergence of successive {SDP} relaxation
methods},
NOTE = {Interior point methods (Budapest, 2000)},
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FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {325--341},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2003j:90035},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1932386,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Some fundamental properties of successive convex
relaxation
methods on {LCP} and related problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
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Seeking
Global Optima and Their Applications in Science,
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VOLUME = {24},
YEAR = {2002},
NUMBER = {3},
PAGES = {333--348},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C33 (90C09 90C11 90C20 90C48)},
MRNUMBER = {1 932 386},
MRREVIEWER = {Panos M. Pardalos},
}
@article {MR2002e:90070,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Discretization and localization in successive convex
relaxation methods for nonconvex quadratic optimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2000},
NUMBER = {1, Ser. A},
PAGES = {79--111},
ISSN = {0025-5610},
MRCLASS = {90C26 (90C08 90C34 90C51)},
MRNUMBER = {2002e:90070},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@article {AlHaOv:98,
author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton",
title = "Primal-dual interior-point methods for
semidefinite programming: Convergence rates, stability and numerical results",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "746-768"
}
@book{FarautKoranyi:94,
author = "J. FARAUT and A. KORANYI",
title = "Analysis on Symmetric Cones",
year = "1994",
series = "",
publisher = "Oxford University Press",
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}
@book{FiaccoMcCormick:90,
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year = "1990",
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@techreport {Frisch:55,
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@article {GonzagaTodd:92,
author = "C.C. GONZAGA and M.J. Todd",
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year = "1996",
volume = "21",
pages = "860-885"
}
@article {Guler:97,
author = "O. G{\" U}LER",
title = "Hyperbolic polynomials and
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journal = mor,
year = "1997",
volume = "22",
pages = "350-377"
}
@techreport {Guler:98,
author = "O. G{\" U}LER",
title = "Private communication",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "January 1998"
}
@techreport {GulerTuncel:97,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
title = "Manuscript",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "1997"
}
@article {GulerTuncel:98,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
TITLE = {Characterization of the barrier parameter of homogeneous
convex cones},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {81},
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###from Dimitris Bertsimis
### strings moved to .master.bib
% BiBTeX data base for Concurent mapping and localisation
%--------------------------------------------------------------------
%% bibtextfile{
%% author = "Ioana Popescu",
%% version = "1.0",
%% date = "February 7, 1998",
%% filename = "cml.bib",
%% address = "OR Center Rm. E40-130
%% MIT, 77 Mass. Ave,
%% Cambridge, MA 02139, USA",}
%---------------------------------------------------------------------
%------------------------- Moments / Chebyshev ---------------------------
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%------------------------- Optimization ---------------------------------
@article {MR2192588,
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semidefinite
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VOLUME = {32},
YEAR = {2006},
NUMBER = {1},
PAGES = {24--43},
ISSN = {0167-8191},
CODEN = {PACOEJ},
MRCLASS = {90C22 (65K05 90C51)},
MRNUMBER = {2193820 (2006h:90043)},
MRREVIEWER = {Didier Henrion},
DOI = {10.1016/j.parco.2005.07.002},
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VOLUME = {29},
YEAR = {2003},
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PAGES = {1053--1067},
ISSN = {0167-8191},
CODEN = {PACOEJ},
MRCLASS = {90B22 (65K05 90-04)},
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}
@article {MR2019042,
AUTHOR = {Yamashita, M. and Fujisawa, K. and Kojima, M.},
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programming algorithm 6.0)},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {18},
YEAR = {2003},
NUMBER = {4},
PAGES = {491--505},
ISSN = {1055-6788},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {MR2019042 (2004j:90079)},
note = "sdpa.indsys.chuo-u.ac.jp/sdpa/",
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semidefinite programming {SDPA} (semidefinite programming
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ISSN = {0916-1600},
MRCLASS = {90C22 (90-04)},
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M.
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BOOKTITLE = {High performance optimization},
SERIES = {Appl. Optim.},
VOLUME = {33},
PAGES = {267--301},
PUBLISHER = {Kluwer Acad. Publ.},
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YEAR = {2000},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {MR1748770 (2002a:90050)},
}
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NOTE = {Continuous and discrete mathematics for optimization
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%------------------------ Approximation Algorithms ----------------------
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%------------------------ Complexity ------------------------------
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%------------------------ Finance -----------------------------
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%---------------------- Inventory -------------------------------------
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%-------------------------------Queueing-------------------------------------
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##### From Jarre bbl file in Convex paper
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%Oxford University Press (1965).
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MRREVR = {Alexander Shapiro},
}
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YEAR = {2000},
PAGES = {xviii+601},
ISBN = {0-387-98705-3},
MRCLASS = {90-02 (49-02 49K40 90C31)},
MRNUMBER = {MR1756264 (2001g:90003)},
MRREVIEWER = {T. Zolezzi},
}
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author = "J.F. Bonnans and A. Shapiro",
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YEAR = {1998},
NUMBER = {2},
PAGES = {228--264 (electronic)},
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YEAR = {1998},
NUMBER = {4},
PAGES = {940--946 (electronic)},
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}
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## from deKlerk et al start
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author = {de Klerk, E. and C. Roos and T. Terlaky},
title = {Infeasible--start semidefinite programming algorithms via self--dual
embeddings},
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booktitle = {Topics in
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@techreport {Illes98,
author = {T.~ILL{\'E}S and J.~Peng and C.~Roos and and T.~Terlaky},
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institution = {Faculty of Technical Mathematics and
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address = {Delft University of Technology, Delft, The Netherlands},
year = {1998}
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MRREVR = {Michael L. Dowling},
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@techreport{int:Stoer2,
author = {J.~STOER and M.~WECHS},
title = {Infeasible-interior-point paths for sufficient linear complementarity
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institution = {Institut f\"ur Angewandte Mathematik und Statistik},
address = {Universit\"at W\"urzburg, W\"urzburg, Germany},
year = {1996}
}
## from deKlerk et al end
## from Mike Todd et al beginning
%Henry, I've been doing some work on cleaning up our chapter, though
%the text is much the same as what you have. In particular, I've been
%preparing a bib file. This has some additions to your master list,
%as well as some updates (marked by %%**). It's included below.
@techreport {Ko:95,
author = "M. Kojima",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
title = "Private communication",
year = "1995"
}
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semidefinite programming based on the {Monteiro and Zhang}
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year = "1998",
volume = "8",
pages = "797-812"
}
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author = "R.D.C. Monteiro and T. TSUCHIYA",
title = "Polynomiality of Primal-Dual algorithms for semidefinite
Linear
Complementarity Problems Based on the {Kojima-Shindoh-Hara}
Family of Directions",
journal = mprog,
volume = "84",
year = "1999",
pages = "39--53"
}
@techreport{lupong:10,
AUTHOR = "Z. Lu and T.K. Pong",
Title = {Minimizing condition number via convex
programming},
institution = {University of Washington},
address = {Seattle, WA},
number = {},
Year = 2010}
@techreport{pongtseng:09,
AUTHOR = "T.K. Pong and P. Tseng",
Title = {({R}obust) edge-based semidefinite programming
relaxation of sensor network localization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Jan-09},
Year = 2009}
@article{Pong:2010,
Author = {Pong, T. AND Tseng, P.},
Journal = {Mathematical Programming},
Title = {({R}obust) {E}dge-based semidefinite programming relaxation of sensor network localization},
Year = {2010},
}
@techreport{Pong:2009,
AUTHOR = "T.K. Pong and P. Tseng",
Title = {({R}obust) edge-based semidefinite programming
relaxation of sensor network localization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Jan-09},
Year = 2009}
@techreport{tseng:96,
AUTHOR = "P. Tseng",
Title = {FURTHER NOTES ON THE EXISTENCE OF SEARCH
DIRECTIONS IN INTERIOR-POINT METHODS FOR THE MONOTONE SEMI-DEFINITE
{LCP}},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-96},
Year = 1996}
@techreport{tseng:04,
AUTHOR = "P. Tseng",
Title = {{SOCP} relaxation for nonconvex optimization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-04},
note = "presented at ICCOPT I, RPI, Troy, NY",
Year = 2004}
@article{Tse:98,
AUTHOR = "P. Tseng",
TITLE = "Search directions and convergence
analysis of some infeasible path-following methods
for the monotone semi-definite {LCP}",
journal=oms,
pages = "245-268",
volume = "9",
year={1998}
}
@article{Tsengsiam:05,
AUTHOR = {Tseng, P.},
TITLE = {Second-order cone programming relaxation of sensor network
localization},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {18},
YEAR = {2007},
NUMBER = {1},
PAGES = {156-185},
}
@article{Tseng:2007,
AUTHOR = {Tseng, P.},
TITLE = {Second-order cone programming relaxation of sensor network
localization},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {18},
YEAR = {2007},
NUMBER = {1},
PAGES = {156-185},
}
@article{YZha:98,
author = "Y. Zhang",
title = "On extending some primal-dual interior-point algorithms
from linear programming to semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "365-386"
}
## from Mike Todd et al end
## from Ragu et al end
#
@phdthesis{biswasphd07,
author="P. Biswas",
title="Semidefinite programming approaches to distance geometry
problems",
institution="Stanford University",
address="Stanford, CA",
year="2007"
}
@inproceedings{ ElB:94,
author={L. {EL~GHAOUI} and V. BALAKRISHNAN},
title={{S}ynthesis of Fixed-structure Controllers
via Numerical Optimization},
booktitle=cdc,
month=dec,
year={1994},
pages={2678-2683},
}
## from Ragu et al end
###From Laurent:
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@techreport{bentalnemirov:98,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
Title = {{Convex Optimization in Engineering:
Modeling, Analysis, Algorithms}},
institution = {Delft University of Technology},
address = {Delft, The Netherlands},
number = {on notes from course given by A. Nemirovski},
Year = 1998}
@book {MR1857264,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
TITLE = {Lectures on modern convex optimization},
SERIES = {MPS/SIAM Series on Optimization},
NOTE = {Analysis, algorithms, and engineering applications},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2001},
PAGES = {xvi+488},
ISBN = {0-89871-491-5},
MRCLASS = {90-01 (49-01 90C05 90C22 90C51)},
MRNUMBER = {MR1857264 (2003b:90002)},
MRREVIEWER = {Jos F. Sturm},
}
@article{BNRT:00,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
title = "On the quality of semidefinite approximations of uncertain
semidefinite programs affected by box uncertainty",
year = "2000",
institution = "MINERVA Optimization Center, Technion -
Israel Institute of Technology",
address = "Technion City, Haifa 32000, Israel",
number = {2/00},
}
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YEAR = {1999},
NUMBER = {4},
PAGES = {813 - 832},
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@incollection {MR1447473,
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TITLE = {Robust solutions to least squares problems with uncertain
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BOOKTITLE = {Recent advances in total least squares techniques and
errors-in-variables modeling (Leuven, 1996)},
PAGES = {161--170},
PUBLISHER = {SIAM},
ADDRESS = {Philadelphia, PA},
YEAR = {1997},
}
#### end from Laurent
##### from math sci search for quadratic
@article {MR1673454,
AUTHOR = {BOMZE, I. M.},
TITLE = {On standard quadratic optimization problems},
NOTE = {Workshop on Global Optimization (Trier, 1997)},
JOURNAL = {J. Global Optim.},
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TITLE = {On copositive programming and standard quadratic
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NOTE = {GO'99 Firenze},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
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YEAR = {2000},
NUMBER = {4},
PAGES = {301--320},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C25},
MRNUMBER = {1 810 401},
}
@techreport{BomzeDeklerk:01,
author = {I.M. BOMZE and de Klerk, E.},
title = {Solving standard quadratic optimization problems via linear,
semidefinite and copositive programming},
institution = {{Institut fuer Statistik, Universitaet Wien}},
year = {2001},
month = {May},
number = {2001-03},
address = {{Universitaetsstrasse 5, A-1010 Wien, Austria}},
note = {{Available at: {\tt
ssor.twi.tudelft.nl/\~{ }deklerk/publications/sos$\_$copos7.ps}}}
}
@article {MR99f:90073,
AUTHOR = {GUU, S.M. and LIOU, Y.C.},
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YEAR = {1998},
NUMBER = {3},
PAGES = {733--741},
ISSN = {0022-3239},
CODEN = {JOTABN},
}
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DOI = {10.1007/BF02055201},
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quadratic penalty-barrier and multipliers methods for solving
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YEAR = {1996},
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#####additions from two chapters
## put temporary bib entries here to check for typos
#
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#Chapter 10 bibliography entries
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%bibliography entries from Chapter 18
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###extra refs about matrix completions start
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@incollection {MR90k:15008,
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###extra refs about matrix completions end
### correlation matrices references
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PAGES = {55--63 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {15A04},
MRNUMBER = {1 929 023},
MRREVIEWER = {Chong Guang Cao},
}
@article {MR1896990,
AUTHOR = {Parthasarathy, K. R.},
TITLE = {On extremal correlations},
NOTE = {C. R.\ Rao 80th birthday felicitation volume, Part I},
JOURNAL = {J. Statist. Plann. Inference},
FJOURNAL = {Journal of Statistical Planning and Inference},
VOLUME = {103},
YEAR = {2002},
NUMBER = {1-2},
PAGES = {173--180},
ISSN = {0378-3758},
CODEN = {JSPIDN},
MRCLASS = {62H20 (15A48)},
MRNUMBER = {1 896 990},
}
@article {MR2002g:65045,
AUTHOR = {Davies, Philip I. and Higham, N.J.},
TITLE = {Numerically stable generation of correlation matrices and
their factors},
JOURNAL = {BIT},
FJOURNAL = {BIT. Numerical Mathematics},
VOLUME = {40},
YEAR = {2000},
NUMBER = {4},
PAGES = {640--651},
ISSN = {0006-3835},
MRCLASS = {65F18},
MRNUMBER = {2002g:65045},
MRREVIEWER = {Ram Shanmugam},
}
#
# Following are my personal publications (Henry Wolkowicz & co-authors/students)
%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Nathan Krislock at 2010-07-05 15:55:49 -0400
%% Saved with string encoding Unicode (UTF-8)
@article{Ma:2010,
Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
Adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1006.5252M},
Archiveprefix = {arXiv},
Author = {{Ma}, R. and {Cheng}, S.},
Date-Added = {2010-07-05 15:55:18 -0400},
Date-Modified = {2010-07-05 15:55:22 -0400},
Eprint = {1006.5252},
Journal = {ArXiv e-prints},
Keywords = {Mathematics - Numerical Analysis, Computer Science - Numerical Analysis},
Month = jun,
Title = {{Decomposition Approach for Low-rank Matrix Completion}},
Year = 2010}
@article{Mesbahi:1997,
Author = {Mesbahi, M. and Papavassilopoulos, G.P.},
Journal = {Automatic Control, IEEE Transactions on},
Month = {feb},
Number = {2},
Pages = {239 -243},
Title = {On the rank minimization problem over a positive
semidefinite linear matrix inequality},
Volume = {42},
Year = {1997}}
@ARTICLE{871772,
author={Parrilo, P.A. and Khatri, S.},
journal={Automatic Control, IEEE Transactions on}, title={On
cone-invariant linear matrix inequalities},
year={2000},
month={aug},
volume={45},
number={8},
pages={1558 -1563},
keywords={classical Perron-Frobenius theorem;cone-invariant linear
matrix inequalities;linear operator;optimal solution;optimal value;power
iteration-type algorithms;rank minimization problems;spectral
radius;structured singular value;iterative methods;matrix
algebra;minimisation;},
doi={10.1109/9.871772},
ISSN={0018-9286},}
####% PROTEIN DESIGN from Vris
####% Emergent strategies for inverse molecular design
@article {HuBY:09,
author = {Hu, X. and Beratan, D. and Yang, W.},
affiliation = {Department of Chemistry, Duke University, Durham, North Carolina 27708-0354, USA},
title = {Emergent strategies for inverse molecular design},
journal = {Science in China Series B: Chemistry},
publisher = {Science China Press, co-published with Springer},
issn = {1006-9291},
keyword = {Chemistry and Materials Science},
pages = {1769-1776},
volume = {52},
issue = {11},
url = {http://dx.doi.org/10.1007/s11426-009-0260-3},
note = {10.1007/s11426-009-0260-3},
year = {2009}
}
% Branch-and-terminate: a combinatorial optimization algorithm for protein design
@article{GordonM:99,
address = {Division of Chemistry and Chemical Engineering California Institute of Technology Pasadena, California, 91125, USA.},
author = {Gordon, D. B. and Mayo, S. L.},
day = {15},
issn = {0969-2126},
journal = {Structure},
keywords = {scp},
month = sep,
number = {9},
pages = {1089--1098},
pmid = {10508778},
posted-at = {2006-04-25 17:20:26},
priority = {0},
title = {{Branch-and-terminate: a combinatorial optimization algorithm for protein design.}},
url = {http://view.ncbi.nlm.nih.gov/pubmed/10508778},
volume = {7},
year = {1999}
}
%-----------------------------------------------------------
% PROTEIN-PROTEIN INTERACTION
% Protein-protein docking by simulating the process of association subject to biochemical constraints
@article{MotiejunasGWFJWW:08,
address = {EML Research gGmbH, Schloss-Wolfsbrunnenweg 33, 69118 Heidelberg, Germany; Faculty of Biosciences, Interdisciplinary Center for Scientific Computing, University of Heidelberg, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany},
author = {Motiejunas, D. and Gabdoulline, R. and Wang, T. and Feldman-Salit, A. and Johann, T. and Winn, P.J. and Wade, R.C.},
doi = {10.1002/prot.21867},
journal = {Proteins: Structure, Function, and Bioinformatics},
keywords = {bd, continuum-model, electrostatic, protein-protein},
number = {9999},
pages = {NA+},
posted-at = {2009-04-28 13:16:54},
priority = {2},
title = {{Protein-protein docking by simulating the process of association subject to biochemical constraints}},
url = {http://dx.doi.org/10.1002/prot.21867},
volume = {9999},
year = {2008}
}
% Improved side-chain modeling for protein–protein docking
@article {WangSB:05,
author = {Wang, Chu and Schueler-Furman, Ora and Baker, David},
title = {Improved side-chain modeling for protein–protein docking},
journal = {Protein Science},
volume = {14},
number = {5},
publisher = {Cold Spring Harbor Laboratory Press},
issn = {1469-896X},
url = {http://dx.doi.org/10.1110/ps.041222905},
doi = {10.1110/ps.041222905},
pages = {1328--1339},
keywords = {protein–protein docking, side-chain modeling, rotamer minimization, side-chain entropy},
keywords = {PDB, Protein Data Bank, RMSD, root-mean-square deviation.},
year = {2005},
}
% Anchor residues in protein-protein interactions
%-----------------------------------------------------------
% NP-HARDNESS OF SIDE CHAIN PACKING
@article{Akutsu1997,
title = {NP-hardness results for protein side-chain packing},
author = {Akutsu, T.},
year = {1997},
volume = {8},
pages = {180--186},
journal = {Genome Informatics},
url = {http://www.jsbi.org/journal1/gi08/},
number={},
}
%-----------------------------------------------------------
% HOMOLOGY MODELING AND FOLD RECOGNITION
% From fold recognition to homology modeling: an analysis of protein modeling challenges at different levels of prediction complexity
@article{OlszewskiYDT:04,
title = "From fold recognition to homology modeling: an analysis of protein modeling challenges at different levels of prediction complexity",
journal = "Computers & Chemistry",
volume = "24",
number = "3-4",
pages = "499 -- 510",
year = "2000",
note = "",
issn = "0097-8485",
doi = "DOI: 10.1016/S0097-8485(99)00078-9",
url = "http://www.sciencedirect.com/science/article/pii/S0097848599000789",
author = "Olszewski, K.A. and Yan, L. and Edwards, D. and Yeh, T.",
keywords = "Homology modeling",
keywords = "Fold recognition",
keywords = "CASP3"
}
%-----------------------------------------------------------
% ROTAMER LIBRARY
%A Smoothed Backbone-Dependent Rotamer Library for Proteins Derived from Adaptive Kernel Density Estimates and Regressions
@article{ShapovalovD2011,
title = "A Smoothed Backbone-Dependent Rotamer Library for Proteins Derived from Adaptive Kernel Density Estimates and Regressions",
journal = "Structure",
volume = "19",
number = "6",
pages = "844 - 858",
year = "2011",
note = "",
issn = "0969-2126",
doi = "DOI: 10.1016/j.str.2011.03.019",
url = "http://www.sciencedirect.com/science/article/pii/S0969212611001444",
author = "Shapovalov, M.V. and Dunbrack, R.L."
}
% The penultimate rotamer library
@article {LovellWRR:00,
author = {Lovell, S.C. and Word, J.M. and Richardson, J.S. and Richardson, D.C.},
title = {The penultimate rotamer library},
journal = {Proteins: Structure, Function, and Bioinformatics},
volume = {40},
number = {3},
publisher = {Wiley Subscription Services, Inc., A Wiley Company},
issn = {1097-0134},
url = {http://dx.doi.org/10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2},
doi = {10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2},
pages = {389--408},
keywords = {side-chain rotamer library, all-atom contact analysis, structure validation, reversed leucines, explicit hydrogens, van der Waals analysis},
year = {2000},
}
%-----------------------------------------------------------
% DEAD END ELIMINATION
% The dead-end elimination theorem and its use in protein side-chain positioning
@article{DesmetMHL:92,
author = {Desmet, J. and Maeyer, M.D. and Hazes, B. and Lasters, I.},
day = {09},
doi = {10.1038/356539a0},
issn = {0028-0836},
journal = {Nature},
keywords = {dee, rotamers},
month = apr,
number = {6369},
pages = {539--542},
posted-at = {2006-04-07 14:33:40},
priority = {0},
publisher = {Nature Publishing Group},
title = {{The dead-end elimination theorem and its use in protein side-chain positioning}},
url = {http://dx.doi.org/10.1038/356539a0},
volume = {356},
year = {1992}
}
% Efficient rotamer elimination applied to protein side-chains and related spin glasses
@article{Goldstein:94,
title = "Efficient rotamer elimination applied to protein side-chains and related spin glasses",
journal = "Biophysical Journal",
volume = "66",
number = "5",
pages = "1335 - 1340",
year = "1994",
note = "",
issn = "0006-3495",
doi = "DOI: 10.1016/S0006-3495(94)80923-3",
url = "http://www.sciencedirect.com/science/article/pii/S0006349594809233",
author = "Goldstein, R.F. "
}
%-----------------------------------------------------------
% ENERGY FUNCTION
% Computing van der Waals energies in the context of the rotamer approximation
@article{GrigoryanOK:07,
author = {Grigoryan, G. and Ochoa, A. and Keating, A.E.},
doi = {10.1002/prot.21470},
journal = {Proteins},
keywords = {keating-import},
month = sep,
number = {4},
pages = {863--878},
posted-at = {2009-04-08 21:33:49},
priority = {2},
title = {{Computing van der Waals energies in the context of the rotamer approximation}},
url = {http://www.hubmed.org/display.cgi?uids=17554777},
volume = {68},
year = {2007}
}
.publs.bib 0000600 0010230 0000457 00000240401 12501275222 012306 0 ustar hwolkowi none # This file contains personal publication bib entries (including
## student theses.
## The bib entries were taken from MathSci - May 10, 2000.
##
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
# An http version has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/refpubl/refpubl.html
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
#
###################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
#
#
# 1. Books and special issues first.
# 2. Chapters in Books second
# 3. Papers in refereed Journals third
# 3. Papers in refereed Conference Proceedings fourth
# 4. Technical Reports fifth
# 5. Theses (including students' theses) sixth
# 111111 BOOKS BOOKS (authored and edited)
@book{fixedpointalgs:11,
EDITOR = {
Bauschke, H.H. and Burachik, R.S. and Combettes, P.L. and Elser, V. and Luke, D.R. and Wolkowicz, H.},
TITLE = {Fixed-Point Algorithms for Inverse Problems in Science and
Engineering},
PUBLISHER = {Springer},
SERIES = {Springer Optimization and Its Applications},
ADDRESS = {},
VOLUME = {49},
YEAR = {2011},
URL =
{http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-1-4419-9568-1}
}
@book{BGKW:07,
TITLE = {12th ILAS Conference Proceeding, Regina 2005},
EDITOR = {
R. Bhatia and R. Guralnick and S. Kirkland and
H. Wolkowicz},
NOTE = {Held in Regina, SK, June 26--29, 2005},
publisher="Elsevier",
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {421,1},
YEAR = {2007},
PAGES = {1--2},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15-06},
MRNUMBER = {MR2290680},
}
@book{Sturmissue:07,
EDITOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Large Scale Nonlinear and Semidefinite Programming},
NOTE = {Dedicated to the memory of Jos Sturm,
Math. Programming, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
VOLUME = {109, 2-3, Ser. B},
YEAR = {2007},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/d4353m3642j7n008/}
}
@book{PardWo:01,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {New approaches for hard discrete optimization},
NOTE = {Papers from the Fields Workshop on Novel Approaches to
Hard
Discrete Optimization held at the University of Waterloo,
Waterloo, ON, April 26--28, 2001,
J. Comb. Optim. {\bf 6} (2002), no. 3},
PUBLISHER = {Springer},
ADDRESS = {Norwell, MA},
YEAR = {2002},
PAGES = {i--ii and 235--352},
ISSN = {1382-6905},
MRCLASS = {90-06 (90C27)},
MRNUMBER = {MR1920209},
}
@proceedings{PardWolk:02,
EDITOR = "P. Pardalos and H. Wolkowicz",
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html",
TITLE = {Novel approaches to hard discrete optimization},
SERIES = {Fields Institute Communications},
VOLUME = {37},
NOTE = {Papers from the workshop held at the University of
Waterloo,
Waterloo, ON, April 26--28, 2001},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2003},
PAGES = {viii+181},
ISBN = {0-8218-3248-4},
MRCLASS = {00B25 (68-06 90-06)},
MRNUMBER = {MR1987230 (2004a:00021)},
}
@proceedings{PardWolk:96,
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
TITLE = {Topics in Semidefinite and Interior-Point Methods},
BOOKTITLE = {Proceedings of the workshop held in Toronto, ON, May 1996},
EDITOR = "P. Pardalos and H. Wolkowicz",
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xx+250},
ISBN = {0-8218-0825-7},
MRCLASS = {90-06},
MRNUMBER = {98j:90005},
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html"
}
@book{PardWolk:97,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {Semidefinite Programming and Interior-Point Approaches for
Combinatorial Optimization Problems},
NOTE = {Papers from the workshop held at the University of Toronto,
Toronto, ON, May 15--17, 1996,
J. Comb. Optim. {\bf 2} (1998), no. 1},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Hingham, MA},
YEAR = {1998},
PAGES = {1--109},
ISSN = {1382-6905},
MRCLASS = {90-06 (90C26 90C27)},
MRNUMBER = {99a:90012},
}
@book{OvWo:96,
TITLE = {Semidefinite Programming},
EDITOR = "M.L. Overton and H. Wolkowicz",
NOTE = {Dedicated to the memory of Svatopluk Poljak,
Math. Programming {\bf 77} (1997), no. 2, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1997},
PAGES = {i--ii and 97--320},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90-06 (00B30)},
MRNUMBER = {98a:90010},
}
@book{PSWZ:94,
TITLE = {Special Issue Honoring Ingram Olkin},
EDITOR = {F. Pukelsheim and G. P. H. Styan and H. Wolkowicz and I.
Zaballa},
NOTE = {Linear Algebra and Its Applications
{\bf 199} (1994)},
PUBLISHER = {Elsevier Science Inc.},
YEAR = {1994},
PAGES = {i--viii and 445 pp.},
}
@book{PardWolk:94,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {Quadratic assignment and related problems},
NOTE = {Papers from the workshop held at Rutgers University, New
Brunswick, New Jersey, May 20--21, 1993},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1994},
PAGES = {xii+364},
ISBN = {0-8218-6607-9},
MRCLASS = {90-06 (90C27 90C30 90C35)},
MRNUMBER = {95b:90005},
}
@book{SaVaWo:97,
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
TITLE = {Handbook of semidefinite programming},
SERIES = {International Series in Operations Research \& Management
Science, 27},
NOTE = {Theory, algorithms, and applications},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Boston, MA},
YEAR = {2000},
PAGES = {xxviii+654},
ISBN = {0-7923-7771-0},
MRCLASS = {90-00 (90C22)},
MRNUMBER = {MR1778223 (2001k:90001)},
MRREVIEWER = {K. G. Murty},
}
# 222222 CHAPTERS (chapters in books)
###############################
@incollection{KrislockWolk:10,
author = "Krislock, N. and Wolkowicz, H.",
title = "Euclidean Distance Matrices and Applications",
number="2009-06",
series="International Series in Operations Research \& Management Science",
vol ="166",
PAGES = {879--914},
Publisher="Springer-Verlag",
booktitle ="Handbook on Semidefinite, Cone and Polynomial Optimization",
ISBN = {978-1-4614-0768-3},
URL =
{http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-0768-3},
year="2011"
}
@incollection{Wolkgenerat:09,
author = "H. Wolkowicz",
TITLE = {Generating eigenvalue bounds using optimization},
BOOKTITLE = {Nonlinear analysis and variational problems},
SERIES = {Springer Optim. Appl.},
VOLUME = {35},
PAGES = {465--490},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2010},
MRCLASS = {15A42 (90C31)},
MRNUMBER = {2581881},
DOI = {10.1007/978-1-4419-0158-3_29},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-0158-3_29},
}
@incollection{WoHLA:05,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "CRC Handbook of Linear Algebra (HLA)",
editor = "Leslie Hogben",
Publisher="CRC Press",
pages = {51-1--51-13},
ADDRESS = {Bacon Raton, Fl},
note = "2008 Choice Magazine Outstanding Academic Title",
URL = "www.crcpress.com/shopping\_cart/products/product\_detail.asp?sku=C5106\&parent\_id=\&pc=",
year = "2007"
}
@incollection{Wolknonlinassign:99,
author = "H. Wolkowicz",
TITLE = {Semidefinite programming approaches to the quadratic
assignment problem},
BOOKTITLE = {Nonlinear assignment problems},
SERIES = {Comb. Optim.},
VOLUME = {7},
PAGES = {143--174},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR1893727},
}
@incollection{AlWo:99,
author = "A. Alfakih and H. Wolkowicz",
TITLE = {Matrix completion problems},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {533--545},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (65F30)},
MRNUMBER = {MR1778240},
}
@incollection{NeWoYe:99,
author = "Y.E. Nesterov and H. Wolkowicz and Y. Ye",
TITLE = {Semidefinite programming relaxations of nonconvex
quadratic
optimization},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {361--419},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C26)},
MRNUMBER = {MR1778235},
}
@incollection{KrukWolk:99,
author = "S. Kruk and H. Wolkowicz",
TITLE = {Sequential, quadratic constrained, quadratic programming for
general nonlinear programming},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {563--575},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C55)},
MRNUMBER = {MR1778242},
}
@incollection{wolkcamb:99,
author = "H. Wolkowicz",
title = "Semidefinite and {L}agrangian Relaxations for hard
combinatorial problems",
booktitle = "Proceedings of 19th IFIP TC7 Conference on
System Modelling and Optimization, July, 1999, Cambridge",
editor = "M.J.D. Powell",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = {269-309},
year = "2000"
}
@incollection{Wolkapplhand:99,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "Handbook of
Applied Optimization",
editor = "P.M. Pardalos and M.G.C. Resende",
Publisher="Oxford University Press, New York",
ISBN = {0-19-512594-0},
year = "2002",
pages = {40-50},
}
@incollection{wolk:98,
author="H. Wolkowicz",
title = "Duality for Semidefinite Programming",
institution="University of Waterloo",
type="Research Report",
booktitle="Encyclopedia of Optimization",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = "",
year="2001",
}
# 333333 PAPERS in REFEREED JOURNALS
###############################
# start of journal ... PAPERS
###############################
###2015##########################
@techreport{BoBurkWolk:15,
author = "X-B Li and F. Burkowski and H. Wolkowicz",
title = "Normal Mode Analysis using Euclidean Distance Matrices",
institution="University of Waterloo",
note = "submitted Feb. 10, 2015,
Number 54, ISBRA 2015",
address="Waterloo, Ontario",
year="2015",
}
###2014##########################
@techreport{ChWosensit:14,
author = "Y.-L. Cheung and H. Wolkowicz",
title = "Sensitivity analysis of semidefinite programs without strong
duality",
institution="University of Waterloo",
note = "submitted June 2014, 37 pages",
address="Waterloo, Ontario",
year="2014",
}
@techreport{RWWW:14,
title = "Facial Reduction and {SDP} Methods for Systems of
Polynomial Equations",
author = "
G. Reid and F. Wang and H. Wolkowicz and W. Wu",
institution="University of Western Ontario",
note = "submitted Dec. 2014, 38 pages",
address="London, Ontario",
year="2014",
}
@techreport{ChDrLiPeWomatrixrepr:14,
author = "Y.-L. Cheung and D. Drusvyatskiy and
C.-K. Li and D.C. Pelejo and H. Wolkowicz",
title = "Efficient block matrix representations for the feasible trace
preserving completely positive problem",
institution="University of Waterloo",
note = "technical report - to appear",
address="Waterloo, Ontario",
year="2014",
}
@techreport{ChDrLiPeWo:14,
author = "Y.-L. Cheung and D. Drusvyatskiy and
C.-K. Li and D.C. Pelejo and H. Wolkowicz",
title = "Projection methods in quantum information science",
institution="University of Waterloo",
note = "submitted July. 2014, 15 pages, under revision Oct. 2014",
address="Waterloo, Ontario",
year="2014",
}
@techreport{DrusLiWolk:14,
author = "D. Drusvyatskiy and G. Li and H. Wolkowicz",
title = " Alternating projections for ill-posed semidenite feasibility
problems",
institution="University of Waterloo",
note = "submitted Sept. 2014, 12 pages",
address="Waterloo, Ontario",
year="2014",
}
@article{DrVaWo:14,
author = "D. Drusvyatskiy and S.A. Vavasis and H. Wolkowicz",
title = "Extreme point inequalities and geometry of the rank sparsity
ball",
institution="University of Waterloo",
pages = "23 pages",
number="submitted Nov. 2013",
volume="accepted Jul. 2014, 23 pages",
address="Waterloo, Ontario",
journal = "Mathematical Programming SERIES A and B",
year="2014",
}
@techreport{HaoWangPongWolk:14,
author = "H. Sun and N. Wang and T.K. Pong and H. Wolkowicz",
title = "Eigenvalue, Quadratic Programming, and Semidefinite
Programming Bounds for a Cut Minimization Problem",
institution="University of Waterloo",
note = "32 pages, submitted",
URL="http://www.optimization-online.org/DB_HTML/2014/01/4209.html",
address="Waterloo, Ontario",
year="2014",
}
@techreport{ChDrWo:14,
author = "Y-L. Cheung Voronin and D. Drusvyatskiy and N. Krislock and
H. Wolkowicz",
title = "Noisy sensor network localization: robust facial reduction
and the {P}areto frontier",
institution="University of Waterloo",
note = "arXiv:1410.6852, 20 pages",
address="Waterloo, Ontario",
year="2014",
}
############ YEAR 2013
@article{PongWolk:12,
author = "T.K. Pong and H. Wolkowicz",
TITLE = {The generalized trust region subproblem},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {58},
YEAR = {2014},
NUMBER = {2},
PAGES = {273--322},
ISSN = {0926-6003},
MRCLASS = {90C20 (90C26 90C55)},
MRNUMBER = {3201963},
DOI = {10.1007/s10589-013-9635-7},
URL = {http://dx.doi.org/10.1007/s10589-013-9635-7},
}
@article{LinWolkowicz:13,
author = "Lin, M-H. and Wolkowicz, H.",
title = "A general Hua-type matrix equality and its applications",
institution="University of Waterloo",
note = "7 pages, submitted Jan. 2013",
year="2013"
}
@article{LinWolkowiczHiro:13,
author = "Lin, M-H. and Wolkowicz, H.",
title = "Applications of {H}iroshima's theorem in matrix norm inequalities",
institution="University of Waterloo",
journal = "Acta Sci. Math. (Szeged)",
pages = "8 pages",
number="submitted 2013",
volume="accepted 2013",
year="to appear 2014"
}
############ YEAR 2012
@techreport{Babakmanifold:12,
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz",
title = "Large-Scale Manifold Learning by Semidefinite Facial Reduction",
institution="University of Waterloo",
URL = "http://hal.archives-ouvertes.fr/hal-00684488",
note = "19pages",
address="Waterloo, Ontario",
year="2012"
}
@incollection {Babakprotein:12,
author = {Alipanahi, Babak and Krislock, Nathan and Ghodsi, Ali and
Wolkowicz, Henry and Donaldson, Logan and Li, Ming},
affiliation = {David R. Cheriton School of Computer Science,
University of Waterloo, Waterloo, Ontario, Canada},
title = {Protein Structure by Semidefinite Facial Reduction},
booktitle = {Research in Computational Molecular Biology},
series = {Lecture Notes in Computer Science},
editor = {Chor, Benny},
publisher = {Springer Berlin / Heidelberg},
isbn = {978-3-642-29626-0},
keyword = {Computer Science},
pages = {1-11},
volume = {7262},
year = {2012}
}
@article {Alipanahi:2012,
AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and
Wolkowicz, H. and Donaldson, L. and Li, M.},
TITLE = {Determining protein structures from {NOESY} distance
constraints by semidefinite programming},
JOURNAL = {J. Comput. Biol.},
FJOURNAL = {Journal of Computational Biology},
VOLUME = {20},
YEAR = {2013},
NUMBER = {4},
PAGES = {296--310},
ISSN = {1066-5277},
MRCLASS = {92D20 (90C22)},
MRNUMBER = {3042029},
DOI = {10.1089/cmb.2012.0089},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089},
}
@conference{Babaketal:12,
title="Protein Structure by Semidefinite Facial Reduction",
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz and L. Donaldson and M. Li",
institution="University of Waterloo",
note="poster session at RECOMB2012",
booktitle="URL: recomb2012.crg.cat",
address="Waterloo, Ontario",
URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2012"
}
############ YEAR 2011
@article{MingW:11,
author = "Lin, M-H. and Wolkowicz, H.",
title = "An Eigenvalue Majorization Inequality for Positive
Semidefinite Block Matrices: In Memory of {K}y {F}an",
JOURNAL = lama,
VOLUME = {60},
PAGES = {1365-1368},
year ={2012},
number="11-12",
}
@inproceedings{ScTuWonumeric:07,
author = "Cheung, Y-L. and Schurr, S. and Wolkowicz, H.",
editor = "Bailey, D.H. and Bauschke, H.H. and Borwein, P. and Garvan, F. and Thera, M. and Vanderwerff, J. and Wolkowicz, H.",
title = "Preprocessing and Regularization for Degenerate Semidefinite
Programs",
booktitle = {Computational and {A}nalytical {M}athematics, {I}n {H}onor of
{J}onathan {B}orwein's 60th {B}irthday},
publisher="Springer",
VOLUME = {50},
Series = "Springer Proceedings in Mathematics \& Statistics",
year="2013",
ISBN = "978-1-4614-7620-7",
URL = {http://www.optimization-online.org/DB_HTML/2011/02/2929.html},
pages = "225-276",
}
@book{comanalmathbailbortherawolk:13,
editor = "Bailey, D.H. and Bauschke, H.H. and Borwein, P. and Garvan, F. and Thera, M. and Vanderwerff, J. and Wolkowicz, H.",
title = "Preprocessing and Regularization for Degenerate Semidefinite
Programs",
booktitle = {Computational and {A}nalytical {M}athematics, {I}n {H}onor of
{J}onathan {B}orwein's 60th {B}irthday},
publisher="Springer",
VOLUME = {50},
Series = "Springer Proceedings in Mathematics \& Statistics",
year="2013",
ISBN = "978-1-4614-7620-7",
URL = {http://www.optimization-online.org/DB_HTML/2011/02/2929.html},
pages = "225-276",
}
@book{companalymathBTW:13,
TITLE = {Computational and Analytical Mathematics},
EDITOR = "Heinz H. Bauschke, Michel Thra, Henry Wolkowicz",
NOTE = {Special issue in honour of Jon Borwein''s 60th birthday,
Math. Programming {\bf 139} (2013), no. 1-2},
PUBLISHER = {Springer},
ADDRESS = {},
YEAR = {2013},
PAGES = {},
}
@conference{Babaketal:11,
title="{SPROS}: An {SDP}-Based Protein Structure
Determination from {NMR} Data",
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz and L. Donaldson and M. Li",
institution="University of Waterloo",
note="poster session at RECOMB2011",
booktitle="URL: compbio.cs.sfu.ca/recomb2011",
address="Waterloo, Ontario",
URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2011"
}
@techreport{DoanW:11,
author = "Doan, X.V. and Wolkowicz, H.",
title = "Numerical Computations and the $\omega$-Condition Number",
institution="University of Waterloo",
number="CORR 2011-03",
note = "submitted in July, 2011, 19 pages",
address="Waterloo, Ontario",
year="2011"
}
@article{ForbesVrisWolk:11,
author = "Burkowski, F. and Cheung, Y-L. and Wolkowicz, H.",
title = "Efficient use of semidefinite programming for selection of
rotamers in protein conformations",
journal = "INFORMS Journal on Computing",
institution="University of Waterloo",
pages="748-766",
number="4",
volume="26",
year="2014"
}
############ YEAR 2010
@article{KrukDoanW:10,
author = "Doan, X.V. and Kruk, S. and Wolkowicz, H.",
TITLE = {A robust algorithm for semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {27},
YEAR = {2012},
NUMBER = {4-5},
PAGES = {667--693},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2946052},
MRREVIEWER = {Bogdan Dumitrescu},
DOI = {10.1080/10556788.2011.610456},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/10556788.2011.610456},
}
@article{DingGeWolk:10,
author = "Ding, Y. and Ge, D. and Wolkowicz, H.",
TITLE = {On equivalence of semidefinite relaxations for quadratic
matrix programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {36},
YEAR = {2011},
NUMBER = {1},
PAGES = {88--104},
ISSN = {0364-765X},
MRCLASS = {90C20 (90C22)},
MRNUMBER = {2799394},
DOI = {10.1287/moor.1100.0473},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.1100.0473},
}
############ YEAR 2009
@article{kriswolk:09,
author = {N. Krislock and H. Wolkowicz},
collaboration = {},
title = {Explicit Sensor Network Localization using Semidefinite
Representations and Facial Reductions},
publisher = {SIAM},
year = {2010},
journal = {SIAM Journal on Optimization},
volume = {20},
number = {5},
pages = {2679-2708},
keywords = {sensor network localization; Euclidean distance matrix
completions; semidefinite programming; loss of the Slater constraint
qualification},
url = {http://link.aip.org/link/?SJE/20/2679/1},
doi = {10.1137/090759392}
}
@article{AlfakihAnjosKPW:08,
author="A. Alfakih and M.F. Anjos and V. Piccialli and H. Wolkowicz",
title = "Euclidean Distance Matrices,
Semidefinite Programming, and Sensor Network Localization",
institution="University of Waterloo",
journal="Portug. Math.",
volume = "68",
pages="53-102",
URL =
{http://www.ems-ph.org/journals/show_abstract.php?issn=0032-5155&vol=68&iss=1&rank=4&srch=searchterm},
number="1",
address="Waterloo, Ontario",
year="2011",
}
############ YEAR 2008
@article{ScTuWominimal:07,
author = "Tun{\c{c}}el, L. and Wolkowicz, H.",
title = "Strong duality and minimal representations for cone optimization",
number="2",
volume = "53",
URL = "COAP DOI: 10.1007/s10589-012-9480-0",
journal = coap,
pages = "619-648",
year="2012",
}
@inproceedings{DiKrQiWo:08,
author = "Ding, Y. and
Krislock, N. and Qian, J. and Wolkowicz, H.",
TITLE = {Sensor network localization, {E}uclidean distance matrix
completions, and graph realization},
JOURNAL = {Optim. Eng.},
booktitle = {Optimization and Engineering. International Multidisciplinary
Journal to Promote Optimization Theory \& Applications in
Engineering Sciences},
VOLUME = {11},
YEAR = {2010},
NUMBER = {1},
PAGES = {45--66},
ISSN = {1389-4420},
MRCLASS = {90B10 (90B80 90C22)},
MRNUMBER = {2601732 (2011b:90012)},
MRREVIEWER = {Ning Ruan},
DOI = {10.1007/s11081-008-9072-0},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11081-008-9072-0},
}
@inproceedings{DiKrQiWo:06,
author = "Ding, Y. and
Krislock, N. and Qian, J. and Wolkowicz, H.",
TITLE = {Sensor network localization, {E}uclidean distance matrix
completions, and graph realization},
journal = {ACM},
booktitle = {{MELT'08}: Proceedings of the First {ACM}
International Workshop on Mobile Entity Localization and Tracking in
{GPS}-less Environments},
YEAR = {2008},
PAGES = {129--134},
}
############ YEAR 2007
############ YEAR 2006
@inproceedings{AnDeHaGrWeWolk:06,
author= "M.F. Anjos and M. Desroches and A. Haque and O.
Grodzevich and H. Wei and H. Wolkowicz",
TITLE = {Multi-Stage Investment Decision under Contingent Demand
for Networking Planning},
BOOKTITLE = {Proceedings of the 2006 IEEE GLOBECOM Conference in San
Francisco},
PAGES = {1--5 },
PUBLISHER = {},
ADDRESS = { },
URL = {http://www.ieee-globecom.org/2006/},
YEAR = {2007},
}
@article{PoTuWo:06,
author = "Potaptchik, M. and Tun{\c{c}}el, L. and H. Wolkowicz",
title = "Large Scale Portfolio Optimization with Piecewise Linear
Transaction Costs",
journal = "Optimization Methods and Software",
volume = "23",
number = "6",
pages = "929-952",
institution="University of Waterloo",
URL="orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#portfolio",
year="2008"
}
@article{DingWolk:06,
author = "Ding, Y. and H. Wolkowicz",
TITLE = {A low-dimensional semidefinite relaxation for the quadratic
assignment problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {34},
YEAR = {2009},
NUMBER = {4},
PAGES = {1008--1022},
ISSN = {0364-765X},
MRCLASS = {90C26 (65K05 65K10 90B80 90C22)},
MRNUMBER = {2573507},
MRREVIEWER = {Wei Hong Yang},
DOI = {10.1287/moor.1090.0419},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.1090.0419},
}
############ YEAR 2005
@article{AlfakihWolk:05,
author="A. Alfakih and H. Wolkowicz",
title = "Necessary and Sufficient Trace Inequalities for
{E}uclidean Distance Matrices",
institution="University of Waterloo",
address="Waterloo, Ontario",
pages = "499--506",
volume = "55",
number = "5",
journal = lama,
year="2007",
}
@article{GroWo:05,
author="O. Grodzevich and H. Wolkowicz",
title = "Regularization Using a Parameterized Trust Region Subproblem",
institution="University of Waterloo",
number="1-2",
address="Waterloo, Ontario",
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
pages = "193-220",
volume = "116",
year="2009",
}
############ YEAR 2004
@article {GoWo:04,
author="M. Gonzalez-Lima and H. Wei and H. Wolkowicz",
TITLE = {A stable primal-dual approach for linear programming under
nondegeneracy assumptions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {44},
YEAR = {2009},
NUMBER = {2},
PAGES = {213--247},
ISSN = {0926-6003},
MRCLASS = {90C05 (90C51)},
MRNUMBER = {2556851 (2010i:90056)},
MRREVIEWER = {K. Zimmermann},
DOI = {10.1007/s10589-007-9157-2},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-007-9157-2},
}
@article{homwolkA:04,
author = "Al-Homidan, S. and H. Wolkowicz",
TITLE = {Approximate and exact completion problems for {E}uclidean
distance matrices using semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {406},
YEAR = {2005},
PAGES = {109--141},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C22 (15Axx)},
MRNUMBER = {MR2156431},
}
@article{WeiWolk:06,
author = "H. Wei and H. Wolkowicz",
TITLE = {Generating and measuring instances of hard semidefinite
programs},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {125},
YEAR = {2010},
NUMBER = {1, Ser. A},
PAGES = {31--45},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2718693 (2011h:90105)},
MRREVIEWER = {Didier Henrion},
DOI = {10.1007/s10107-008-0256-3},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-008-0256-3},
}
############ YEAR 2003
@article{ScTuWolk:03,
author = "L. Tun{\c{c}}el and H. Wolkowicz",
TITLE = {Strengthened existence and uniqueness conditions for search
directions in semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {400},
YEAR = {2005},
PAGES = {31--60},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C22 (15A39)},
MRNUMBER = {MR2131915 (2006a:90070)},
MRREVIEWER = {Etienne de Klerk},
}
############ YEAR 2002
############ YEAR 2001
@article{Wolk:01,
author="H. Wolkowicz",
TITLE = {Solving semidefinite programs using preconditioned
conjugate gradients},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {19},
YEAR = {2004},
NUMBER = {6},
PAGES = {653--672},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C52)},
MRNUMBER = {MR2102220 (2005h:90091)},
MRREVIEWER = {E. Alper Y{\i} ld{\i} r{\i} m},
}
@article{AnjosWolk:01,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Geometry of semidefinite max-cut relaxations via matrix
ranks},
NOTE = {New approaches for hard discrete optimization (Waterloo,
ON,
2001)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {6},
YEAR = {2002},
NUMBER = {3},
PAGES = {237--270},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR1920210 (2003h:90057)},
MRREVIEWER = {Jos F. Sturm},
}
@article{FortinWolk:03,
author = "C. Fortin and H. Wolkowicz",
TITLE = {The trust region subproblem and semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {19},
YEAR = {2004},
NUMBER = {1},
PAGES = {41--67},
ISSN = {1055-6788},
MRCLASS = {90C22 (90-06)},
MRNUMBER = {MR2062235 (2005c:90065)},
MRREVIEWER = {Ya Xiang Yuan},
}
@article{AlWo:01,
author = "A. Alfakih and H. Wolkowicz",
TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale
transform},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {340},
YEAR = {2002},
PAGES = {149--154},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48 52B35)},
MRNUMBER = {MR1869424 (2002i:51010)},
}
############ YEAR 2000
@article{AnjosWolkb:00,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Semidefinite programming for discrete optimization and matrix
completion problems},
NOTE = {Workshop on Discrete Optimization, DO'99 (Piscataway,
NJ)},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {123},
YEAR = {2002},
NUMBER = {1-3},
PAGES = {513--577},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C22 (90C27)},
MRNUMBER = {MR1922345 (2003f:90054)},
MRREVIEWER = {Ji-Ming Peng},
}
@article{KrWo:00,
author = " S. Kruk and H. Wolkowicz",
bibsource = "http://jam.hindawi.com/volume-2003/S1110757X03301081.html",
TITLE = {Convergence of a short-step primal-dual algorithm based on
the {G}auss-{N}ewton direction},
JOURNAL = {J. Appl. Math.},
FJOURNAL = {Journal of Applied Mathematics},
YEAR = {2003},
NUMBER = {10},
volume = {2003},
PAGES = {517--534},
ISSN = {1110-757X},
MRCLASS = {90C53 (65K05)},
MRNUMBER = {MR2013788 (2005a:90193)},
MRREVIEWER = {Heinz H. Bauschke},
}
@article{AnWo:00,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Strengthened semidefinite relaxations via a second lifting for
the {M}ax-{C}ut problem},
NOTE = {Foundations of heuristics in combinatorial optimization},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {119},
YEAR = {2002},
NUMBER = {1-2},
PAGES = {79--106},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C27 (68Q99 68R10 90C22)},
MRNUMBER = {MR1892412 (2003c:90084)},
MRREVIEWER = {Konrad Engel},
}
############ YEAR 1999
@article{wolkgap:99,
author = "H. Wolkowicz",
TITLE = {A note on lack of strong duality for quadratic problems with
orthogonal constraints},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {356--364},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C20 (90C46)},
MRNUMBER = {MR1940977 (2003h:90044)},
MRREVIEWER = {Franz Rendl},
}
@article{NaWoZh:97,
author = "J.L. Nazareth and H. Wolkowicz and M. Zhu",
TITLE = {The quasi-{C}auchy relation and diagonal updating},
NOTE = {Dedicated to John E. Dennis, Jr., on his 60th birthday},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {9},
YEAR = {1999},
NUMBER = {4},
PAGES = {1192--1204 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90Cxx (65Fxx)},
MRNUMBER = {1 724 783},
}
@incollection {MR1846167,
AUTHOR = {Anjos, Miguel F. and Wolkowicz, Henry},
TITLE = {Strengthened semidefinite programming relaxations for the
max-cut problem},
BOOKTITLE = {Advances in convex analysis and global optimization
(Pythagorion, 2000)},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {54},
PAGES = {409--420},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2001},
MRCLASS = {90C22 (90C27 90C57)},
MRNUMBER = {MR1846167},
}
############ YEAR 1998
@article{AnChWoYu:98,
author="K.M. Anstreicher and X. Chen and H. Wolkowicz and Y. Yuan",
TITLE = {Strong duality for a trust-region type relaxation of the
quadratic assignment problem},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {301},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {121--136},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90Cxx},
MRNUMBER = {1 728 045}
}
@article{AnWo:98,
author="K.M. Anstreicher and H. Wolkowicz",
title = "On {L}agrangian relaxation of
quadratic matrix constraints",
journal = simax,
volume = "22",
number = "1",
institution="University of Waterloo",
address="Waterloo, Ontario",
year="2000",
pages = "41-55",
}
@article{KrMuReVaWo:98,
author = " S. Kruk and M. Muramatsu and
F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {The {G}auss-{N}ewton direction in semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {15},
YEAR = {2001},
NUMBER = {1},
PAGES = {1--28},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1891034 (2003b:90063)},
MRREVIEWER = {Marina Alex Epelman},
}
@article{KrWo:98,
AUTHOR = {Kruk, S. and Wolkowicz, H.},
TITLE = {Pseudolinear programming},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review},
VOLUME = {41},
YEAR = {1999},
NUMBER = {4},
PAGES = {795--805 (electronic)},
ISSN = {1095-7200},
MRCLASS = {90C08 (90C30)},
MRNUMBER = {2000f:90030},
}
############ YEAR 1997
@article{Wolk:image98,
author="Wolkowicz, H.",
title="Semidefiniteness of a sum: Problem Solution 19-5.5",
journal="IMAGE, The Bulletin of ILAS",
volume="20",
year="1998",
pages="30-31"
}
@article{AlKaWo:97,
author = "A. Alfakih and A. Khandani and H. Wolkowicz",
TITLE = {Solving {E}uclidean distance matrix completion problems
via
semidefinite programming},
NOTE = {A tribute to Olvi Mangasarian},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {12},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {13--30},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C22 (90C25)},
MRNUMBER = {2000e:90042},
MRREVR = {Christian Michelot},
}
@inproceedings{KrWo:97,
author="S. Kruk and H. Wolkowicz",
TITLE = {{S}{Q}$^2${P}, sequential quadratic
constrained quadratic programming},
BOOKTITLE = {Advances in {N}onlinear {P}rogramming (Beijing, 1996)},
PAGES = {177--204},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1998},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {99f:90128},
}
############ YEAR 1996
@article{WoZh:96,
author="H. Wolkowicz and Q. Zhao",
TITLE = {Semidefinite programming relaxations for the graph
partitioning
problem},
NOTE = {Selected for the special Editors' Choice, Edition 1999},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
Optimization and Computer Science},
VOLUME = {96/97},
YEAR = {1999},
PAGES = {461--479},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C35 (15A48 90C22)},
MRNUMBER = {1 724 735},
MRREVR = {Franz Rendl},
}
}
@article{KaReWoZh:94,
author="Q. Zhao and S.E. Karisch and F. Rendl and H. Wolkowicz",
TITLE = {Semidefinite programming relaxations for the quadratic
assignment problem},
NOTE = {Semidefinite programming and interior-point approaches
for
combinatorial optimization problems (Fields Institute,
Toronto, ON, 1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {71--109},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C26)},
MRNUMBER = {99f:90103},
MRREVR = {Yin Zhang},
}
############ YEAR 1995
@article{JoKrWo:95,
author = "C.R. Johnson and B. Kroschel and H. Wolkowicz",
TITLE = {An interior-point method for approximate positive
semidefinite
completions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {9},
YEAR = {1998},
NUMBER = {2},
PAGES = {175--190},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C25 (90C20)},
MRNUMBER = {99a:90154},
MRREVR = {Michael L. Dowling},
}
@article{RaTuWo:95,
author = "M.V. Ramana and L. Tun{\c{c}}el and H. Wolkowicz",
TITLE = {Strong duality for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3},
PAGES = {641--662},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (49M35 49N15)},
MRNUMBER = {98m:90147},
MRREVR = {J.M. Borwein},
}
@incollection{HePoReWo:95,
author="C. Helmberg and S. Poljak
and F. Rendl and H. Wolkowicz",
TITLE = {Combining semidefinite and polyhedral relaxations for
integer
programs},
BOOKTITLE = {Integer {P}rogramming and {C}ombinatorial {O}ptimization
(Copenhagen,
1995)},
PAGES = {124--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {1 367 976},
}
############ YEAR 1994
@article{ReWo:94,
author = "F. Rendl and H. Wolkowicz",
TITLE = {A semidefinite framework for trust region subproblems with
applications to large scale minimization},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2, Ser. B},
PAGES = {273--299},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C20 (90C33)},
MRNUMBER = {98i:90063},
MRREVR = {M. Teboulle},
}
@article {PoReWo:94,
author = "S. Poljak and F. Rendl and H. Wolkowicz",
TITLE = {A recipe for semidefinite relaxation for
$(0,1)$-quadratic
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science, Management
and
Engineering},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {51--73},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C09 (90C27)},
MRNUMBER = {96d:90053},
MRREVR = {Paulo Barcia},
}
@article {HeReVaWo:93,
author = "C. Helmberg and F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {An interior-point method for semidefinite
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {97f:90086},
MRREVR = {Tam{\'a}s Terlaky},
}
@incollection{prw:93,
author="P. Pardalos and F. Rendl and H. Wolkowicz",
TITLE = {The quadratic assignment problem: a survey and recent
developments},
editor = "P.M. Pardalos and H. Wolkowicz",
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ,
1993)},
PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90B80 (90C10 90C27)},
MRNUMBER = {95f:90040},
MRREVR = {Horst W. Hamacher},
}
############ YEAR 1993
@ARTICLE {FaReWo:92,
author = "J. Falkner and F. Rendl and H. Wolkowicz",
TITLE = {A computational study of graph partitioning},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {211--239},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
MRNUMBER = {95h:90153},
MRREVR = {Yixun Lin},
}
@article{sw5,
author="R. Stern and H. Wolkowicz",
TITLE = {Trust region problems and nonsymmetric eigenvalue
perturbations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {15},
YEAR = {1994},
NUMBER = {3},
PAGES = {755--778},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A18 (15A42 49R05)},
MRNUMBER = {95f:15009},
MRREVR = {Gerd M. Krause},
}
@article{StWo:93,
author="R. Stern and H. Wolkowicz",
TITLE = {Indefinite trust region subproblems and nonsymmetric
eigenvalue
perturbations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {2},
PAGES = {286--313},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C20 (65F15 65K05)},
MRNUMBER = {96h:90077},
MRREVR = {Panos M. Pardalos},
}
@incollection{KaReWo:93,
author="S.E. Karisch and F. Rendl and H. Wolkowicz",
editors="P. Pardalos and H. Wolkowicz",
TITLE = {Trust regions and relaxations for the quadratic
assignment problem},
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ, 1993)},
PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {95j:90053},
MRREVR = {Igor Litvinchev},
}
@article{ReWo:90,
author = "F. Rendl and H. Wolkowicz",
TITLE = {A projection technique for partitioning the nodes of a
graph},
NOTE = {Applied mathematical programming and modeling, II (APMOD
93)
(Budapest, 1993)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {58},
YEAR = {1995},
PAGES = {155--179},
ISSN = {0254-5330},
MRCLASS = {90C35 (05C99)},
MRNUMBER = {96g:90096},
MRREVR = {Xue Liang Li},
}
@article {PoWo:93,
author = "S. Poljak and H. Wolkowicz",
TITLE = {Convex relaxations of $(0,1)$-quadratic
programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {20},
YEAR = {1995},
NUMBER = {3},
PAGES = {550--561},
ISSN = {0364-765X},
MRCLASS = {90C09 (90C20)},
MRNUMBER = {97b:90078},
}
@article{w13,
author="H. Wolkowicz",
TITLE = {Measures for symmetric rank-one updates},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {19},
YEAR = {1994},
NUMBER = {4},
PAGES = {815--830},
ISSN = {0364-765X},
MRCLASS = {90C30 (65F05 65K05)},
MRNUMBER = {95h:90143},
}
@article{WoZh:93,
author="H. Wolkowicz and Q. Zhao",
TITLE = {An all-inclusive efficient region of updates for least
change
secant methods},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {1},
PAGES = {172--191},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {95k:90096},
MRREVR = {Bernd Luderer},
}
@article{Wolk:93,
author="H. Wolkowicz",
TITLE = {Explicit solutions for interval semidefinite linear
programs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {236},
YEAR = {1996},
PAGES = {95--104},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C26 (65G10 90C08)},
MRNUMBER = {96m:90058},
MRREVR = {Florian Jarre},
}
@article {ReVaWo:93b,
author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
title = "Max-min eigenvalue problems, primal-dual
interior point algorithms, and trust region subproblems",
institution = "Department of Combinatorics and Optimization",
year = "1995",
pages = "1-16",
volume = "5",
journal = oms,
address = "Waterloo, Ont"}
@article{DeWo:90,
author="J.E. {Dennis Jr.} and H. Wolkowicz",
TITLE = {Sizing and least-change secant methods},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {30},
YEAR = {1993},
NUMBER = {5},
PAGES = {1291--1314},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {90C30 (49M37 65K05)},
MRNUMBER = {94g:90107},
}
############ YEAR 1992
@article{HaReWo:89,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
TITLE = {A new lower bound via projection for the quadratic
assignment
problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {17},
YEAR = {1992},
NUMBER = {3},
PAGES = {727--739},
ISSN = {0364-765X},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {93i:90080},
MRREVR = {M. C. Puri},
}
@article{hrw2,
author="S.W. Hadley and F. Rendl and H. Wolkowicz",
TITLE = {Symmetrization of nonsymmetric quadratic assignment
problems
and the {H}offman-{W}ielandt inequality},
NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {167},
YEAR = {1992},
PAGES = {53--64},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (15A42 90B80)},
MRNUMBER = {93d:90050},
MRREVR = {Rainer Burkard},
}
@article{jw2,
author="Jeyakumar, V. and Wolkowicz, H.",
TITLE = {Generalizations of {S}later's constraint qualification for
infinite convex programs},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {1, Ser. B},
PAGES = {85--101},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48 (49N15 90C25)},
MRNUMBER = {93e:90070},
MRREVR = {Doug Ward},
}
@inproceedings{biw,
author="Ben-Israel, A. and Wolkowicz, H.",
title="A recursive volume reducing algorithm for semi-infinite
linear programming",
year="1992",
booktitle="Systems and Management Science by Extremal Methods",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
note="invited paper"
}
############ YEAR 1991
############ YEAR 1990
@inproceedings{hrw4,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
title="Bounds for the quadratic assignment problems using continuous
optimization",
year="1990",
booktitle="Integer Programming and Combinatorial Optimization",
publisher="University of Waterloo Press",
pages="237-248",
address="Waterloo, Ontario, Canada",
editors="W.R. Pulleyblank and Ravi Kannan"
}
@article{jw1,
author="Jeyakumar, V. and Wolkowicz, H.",
TITLE = {Zero duality gaps in infinite-dimensional programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {67},
YEAR = {1990},
NUMBER = {1},
PAGES = {87--108},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49N15 (90C48)},
MRNUMBER = {92a:49062},
MRREVR = {R. N. Kaul},
}
@article{stw4,
author="Stern, R.J. and Wolkowicz, H.",
title="Results on invariant cones",
journal=laa,
note="Proceedings from the Haifa Matrix Theory Conference, June 1990",
year="1991",
volume="166",
pages="1-26"
}
############ YEAR 1989
@article{BeatsonWolk:89,
author="R. BEATSON and H. Wolkowicz",
TITLE = {Post-processing piecewise cubics for monotonicity},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {26},
YEAR = {1989},
NUMBER = {2},
PAGES = {480--502},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {65D07 (41A05 41A25)},
MRNUMBER = {90i:65019},
MRREVR = {Zhen Xiang Xiong},
}
@article{ReWo:89,
author="Rendl, F. and Wolkowicz, H.",
TITLE = {Applications of parametric programming and eigenvalue
maximization to the quadratic assignment problem},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {53},
YEAR = {1992},
NUMBER = {1, Ser. A},
PAGES = {63--78},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (90C20 90C30)},
MRNUMBER = {93c:90098},
MRREVR = {M. C. Puri},
}
############ YEAR 1988
@article{swz,
author="Sutherland, W.R.S. and Wolkowicz, H. and Zeidan, V.",
TITLE = {An explicit linear solution for the quadratic dynamic
programming problem},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {58},
YEAR = {1988},
NUMBER = {2},
PAGES = {319--330},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49C20 (49D40 90C39 93C55)},
MRNUMBER = {89e:49023},
}
############ YEAR 1987
@incollection{ws5,
author="Wolkowicz, H. and Styan, G.P.H.",
title= "{S}amuelson's Inequality",
booktitle="Encyclopedia of Statistical Sciences",
year="1987",
editor=" S. Kotz and N. Johnson",
publisher="Wiley-Interscience",
Volume="8",
note="invited paper"
}
@article{gjmw4,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Normal matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {87},
YEAR = {1987},
PAGES = {213--225},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57},
MRNUMBER = {88a:15045},
MRREVR = {L. Rodman},
}
############ YEAR 1986
@article{smw2,
author="SMITH, P.W. and Wolkowicz, H.",
TITLE = {A nonlinear equation for linear programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {34},
YEAR = {1986},
NUMBER = {2},
PAGES = {235--238},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C05},
MRNUMBER = {87j:90082},
}
@article{BoWo:86,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {A simple constraint qualification in infinite-dimensional
programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {35},
YEAR = {1986},
NUMBER = {1},
PAGES = {83--96},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48},
MRNUMBER = {87i:90321},
MRREVR = {W. W. Breckner},
}
@article{gjmw3,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and
Wolkowicz, H.",
TITLE = {A note on maximizing the permanent of a positive definite
{H}ermitian matrix, given the eigenvalues},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {19},
YEAR = {1986},
NUMBER = {4},
PAGES = {389--393},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A15},
MRNUMBER = {88b:15006},
MRREVR = {H. Minc},
}
############ YEAR 1985
@article{mw,
author="J. Merikoski and H. Wolkowicz",
TITLE = {Improving eigenvalue bounds using extra bounds},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {68},
YEAR = {1985},
PAGES = {93--113},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {87e:15038},
}
@article{lw,
author="M. Lamoureux and H. Wolkowicz",
TITLE = {Numerical decomposition of a convex function},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {47},
YEAR = {1985},
NUMBER = {1},
PAGES = {51--64},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25 (26A51)},
MRNUMBER = {87a:90107},
MRREVR = {Jacques A. Ferland},
}
@article{jkw,
author="Johnson, C.R. and Kumar, R. and Wolkowicz, H.",
TITLE = {Lower bounds for the spread of a matrix},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {71},
YEAR = {1985},
PAGES = {161--173},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42},
MRNUMBER = {87a:15027},
MRREVR = {Thomas L. Markham},
}
@article{bjw,
author="Butler, G. and Johnson, C.R. and Wolkowicz, H.",
TITLE = {Nonnegative solutions of a quadratic matrix equation
arising
from comparison theorems in ordinary differential
equations},
JOURNAL = {SIAM J. Algebraic Discrete Methods},
FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Algebraic and Discrete Methods},
VOLUME = {6},
YEAR = {1985},
NUMBER = {1},
PAGES = {47--53},
ISSN = {0196-5212},
CODEN = {STAMDU},
MRCLASS = {34C11 (15A48)},
MRNUMBER = {86f:34072},
MRREVR = {G. J. Etgen},
}
############ YEAR 1984
@article{smw1,
author="Smith, P.W. and Wolkowicz, H.",
TITLE = {Dimensionality of bi-infinite systems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {57},
YEAR = {1984},
PAGES = {115--130},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A21 15A54 41A05)},
MRNUMBER = {86c:15010},
}
@article{gjmw2,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Improving {H}adamard's inequality},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {16},
YEAR = {1984},
NUMBER = {1-4},
PAGES = {305--322},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A42 (15A15 15A45)},
MRNUMBER = {87b:15024},
}
@article{GrJoSaWo:84,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
@article{Grone,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
############ YEAR 1983
@article{msw,
author="Merikoski, J. and Styan, G.P.H. and Wolkowicz, H.",
TITLE = {Bounds for ratios of eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {55},
YEAR = {1983},
PAGES = {105--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {85a:15019},
MRREVR = {Ludwig Elsner},
}
@incollection{w5,
author ="H. Wolkowicz",
TITLE = {Optimality conditions and shadow prices},
BOOKTITLE = {Mathematical programming with data perturbations, II
(Washington, D.C., 1980)},
PAGES = {49--63},
PUBLISHER = {Dekker},
ADDRESS = {New York},
YEAR = {1983},
MRCLASS = {90C25},
MRNUMBER = {85b:90056},
MRREVR = {J. E. Spingarn},
}
@article{w4,
author="H. Wolkowicz",
TITLE = {Method of reduction in convex programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {40},
YEAR = {1983},
NUMBER = {3},
PAGES = {349--378},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {85d:90077},
MRREVR = {S. Zlobec},
}
@article{w3,
author="H. Wolkowicz",
TITLE = {An optimality condition for a nondifferentiable convex
program},
JOURNAL = {Naval Res. Logist. Quart.},
FJOURNAL = {Naval Research Logistics Quarterly},
VOLUME = {30},
YEAR = {1983},
NUMBER = {3},
PAGES = {415--418},
ISSN = {0028-1441},
CODEN = {NRLQAR},
MRCLASS = {90C25},
MRNUMBER = {85a:90181},
}
############ YEAR 1982
@article{bw4,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterizations of optimality without constraint
qualification for the abstract convex program},
NOTE = {Optimality and stability in mathematical programming},
JOURNAL = {Math. Programming Stud.},
FJOURNAL = {Mathematical Programming Study},
volume = {19},
YEAR = {1982},
PAGES = {77--100},
ISSN = {0303-3929},
CODEN = {MPSTDF},
MRCLASS = {90C25},
DOI = {10.1007/BFb0120983},
MRNUMBER = {83k:90083},
URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/q484808423l21876/}
}
############ YEAR 1981
@article{w12,
author="H. Wolkowicz",
TITLE = {A strengthened test for optimality},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {35},
YEAR = {1981},
NUMBER = {4},
PAGES = {497--515},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {84d:90088},
MRREVR = {Szymon Dolecki},
}
@article{bw1,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Facial reduction for a cone-convex programming problem},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {3},
PAGES = {369--380},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C25},
MRNUMBER = {83b:90121},
MRREVR = {B. T. Polyak},
}
@article{bw2,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterization of optimality for the abstract convex
program
with finite-dimensional range},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {4},
PAGES = {390--411},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C48},
MRNUMBER = {83i:90156},
MRREVR = {R. L. Graves},
}
@article{bw3,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Regularizing the abstract convex program},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {83},
YEAR = {1981},
NUMBER = {2},
PAGES = {495--530},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C48 (90C25)},
MRNUMBER = {83d:90236},
MRREVR = {S. Zlobec},
}
@article{w11,
author="H. Wolkowicz",
TITLE = {Some applications of optimization in matrix theory},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {40},
YEAR = {1981},
PAGES = {101--118},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C25 (15A48 65K05 90C05)},
MRNUMBER = {84a:90067},
}
@inproceedings{bw6,
author="J.M. Borwein and H. Wolkowicz",
title="Cone-convex programming stability and affine constraint functions",
year="1981",
booktitle="Generalized Concavity in Optimization and Economics",
publisher="Academic Press",
pages="379-397",
note="invited paper",
organization="NATO conference"
}
############ YEAR 1980
@article{w8,
author="H. Wolkowicz",
TITLE = {Geometry of optimality conditions and constraint
qualifications: the convex case},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {19},
YEAR = {1980},
NUMBER = {1},
PAGES = {32--60},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C25},
MRNUMBER = {83b:90130},
}
@article{ws3,
author="Wolkowicz, H. and Styan, G.P.H",
title="A history of {S}amuelson's inequality",
journal=amers,
year="1980",
volume="34",
pages="250"
}
@article{w10,
author="H. Wolkowicz",
TITLE = {Shadow prices for an unstable convex program},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied
Mathematics, Computer Science, and Statistics},
VOLUME = {18},
YEAR = {1980},
PAGES = {119--139},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {90C25},
MRNUMBER = {82d:90100},
MRREVR = {Roger Hartley},
}
@article{ws1,
author="Wolkowicz, H. and Styan, G.P.H",
TITLE = {More bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {31},
YEAR = {1980},
PAGES = {1--17},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18 (65F15)},
MRNUMBER = {81k:15016},
MRREVR = {J. Segethov{\'a}},
}
@article{ws2,
author="Wolkowicz, H. and Styan, G.P.H.",
TITLE = {Bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {29},
YEAR = {1980},
PAGES = {471--506},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18},
MRNUMBER = {81k:15015},
MRREVR = {M. Shafqat Ali},
}
@article{w2,
author="H. Wolkowicz",
TITLE = {Convex programs with equivalent duals},
JOURNAL = {Appl. Math. Notes},
FJOURNAL = {Applied Mathematics Notes},
VOLUME = {5},
YEAR = {1980},
NUMBER = {2},
PAGES = {45--62},
ISSN = {0700-9224},
MRCLASS = {90C25},
MRNUMBER = {81h:90121},
}
############ YEAR 1979
@article{ws4,
author="Wolkowicz, H. and Styan, G.P.H.",
TITLE = {Extensions of {S}amuelson's inequality},
JOURNAL = {Amer. Statist.},
FJOURNAL = {The American Statistician},
VOLUME = {33},
YEAR = {1979},
NUMBER = {3},
PAGES = {143--144},
ISSN = {0003-1305},
CODEN = {ASTAAJ},
MRCLASS = {62G30 (60E15)},
MRNUMBER = {80h:62038},
}
@article{w1,
author="H. Wolkowicz",
TITLE = {Calculating the cone of directions of constancy},
JOURNAL = {J. Optim. Theory Appl.},
VOLUME = {25},
YEAR = {1978},
NUMBER = {3},
PAGES = {451--457},
MRCLASS = {90C25},
MRNUMBER = {58 #25996},
}
@article{wz,
author="Wolkowicz, H. and Zlobec, S.",
TITLE = {Calculating the best approximate solution of an operator
equation},
JOURNAL = {Math. Comp.},
VOLUME = {32},
YEAR = {1978},
NUMBER = {144},
PAGES = {1183--1213},
MRCLASS = {65J05 (47A50)},
MRNUMBER = {58 #13701},
MRREVR = {P. M. Anselone},
}
@article{stw3,
author="Stern, R.J. and H. Wolkowicz",
TITLE = {A note on generalized invariant cones and the {K}ronecker
canonical form},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {147},
YEAR = {1991},
PAGES = {97--100},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A18 15A48)},
MRNUMBER = {92e:15018},
}
@article{stw2,
author="Stern, R.J. and Wolkowicz, H.",
TITLE = {Exponential nonnegativity on the ice cream cone},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {12},
YEAR = {1991},
NUMBER = {1},
PAGES = {160--165},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A48},
MRNUMBER = {92j:15013},
MRREVR = {Raphael Loewy},
}
@article{stw1,
author="Stern, R.J. and Wolkowicz, H.",
TITLE = {Invariant ellipsoidal cones},
BOOKTITLE = {Proceedings of the First Conference of the International
Linear
Algebra Society (Provo, UT, 1989)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {150},
YEAR = {1991},
PAGES = {81--106},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {92h:15014},
MRREVR = {Raphael Loewy},
}
############
#### Problems and Solutions
######
%Refereed Problems and Solutions
@article{Wolk:siam94,
author="Wolkowicz, H.",
title="Problem Solution 93-17",
journal="SIAM Review",
volume="36",
number="4",
year="1994",
pages="657-659"
}
@article{jww,
author="Johnson, C.R. and Wolkowicz, G. and Wolkowicz, H.",
title= "Elem. Prob. E. 3234",
journal=amerm,
year="1987",
volume="94",
pages="877"
}
@article{bsw,
author="Borwein, J.M. and Styan, G.P.H. and Wolkowicz, H.",
title="Some inequalities involving statistical expressions",
journal="SIAM Review",
year="1982",
volume="24",
pages="340-342"
}
@article{w14,
author="H. Wolkowicz",
title="A constrained matrix optimization problem",
journal="SIAM Review 23",
year="1981",
volume="101"
}
############
#### THESES
######
@phdthesis{w15,
author="H. Wolkowicz",
title="Constructive approaches to approximate solutions of
operator equations and convex programming",
school="McGill University",
year="1978"
}
@mastersthesis{w9,
author="H. Wolkowicz",
title= "Kantorovich's general theory of approximation methods",
school="McGill University",
year="1975",
note="M.Sc. Thesis"
}
############
#### Unpublished Research Reports... book reviews ... problems ...
######
@article{piccwolk:05,
author="Piccialli, V. and Wolkowicz, H.",
title= "Solution to Problem 34-6.1",
journal="{IMAGE}-The Bulletin of the International
Linear Algebra Society",
year="2005",
volume="35",
pages="33-34"
}
@article{wolkieee:2006,
author="H. Wolkowicz",
title = "Book Review of: {O}ptimization: {I}nsights and {A}pplications, by
{B}rinkhuis and {T}ikhomirov",
journal="IEEE Control Systems Magazine",
pages = "",
year="2007",
}
@techreport{AlWo:98,
author = "A. Alfakih and H. Wolkowicz",
title = "On the embeddability of weighted graphs in
{E}uclidean spaces",
institution = "University of Waterloo",
number = "CORR 98-12",
year = "1998",
}
@techreport{Wo:00,
author = "A. Alfakih and H. Wolkowicz",
title = "A New Semidefinite Programming Model
for Large Sparse
{E}uclidean Distance Matrix Completion Problems",
institution = "University of Waterloo",
number = "CORR 2000-37",
year = "2000",
address = "Waterloo, Canada"
}
@techreport{CheungKrislWo:10,
author = "Cheung, Y-L. and Krislock, N. and Wolkowicz, H.",
title = "Facial Reduction for Compressive Sensing",
institution="University of Waterloo",
number="CORR 2010",
note = "in progress",
address="Waterloo, Ontario",
year="2010"
}
@techreport{AnWo:99,
author="M.F. Anjos and H. Wolkowicz",
title = "A STRENGTHENED {SDP} RELAXATION via a SECOND LIFTING
for the {M}AX-{C}UT PROBLEM",
institution="University of Waterloo",
number="CORR 99-55",
note = "28 pages",
address="Waterloo, Ontario",
year="1999",
}
@techreport{GrKrReWo:98,
author="G. Gruber and S. Kruk and F. Rendl and H. Wolkowicz",
title = "Presolving for
Semidefinite Programs Without
Constraint Qualifications",
institution="University of Waterloo",
number="CORR 98-32",
address="Waterloo, Ontario",
year="1998",
}
@techreport{AnjosHighWolk:01,
author="M.F. Anjos and N. Krislock and M. Takouda and H. Wolkowicz",
title = "A semidefinite programming approach for the closest
correlation matrix problem",
institution="University of Waterloo",
number="in progress",
address="Waterloo, Ontario",
year="2009",
}
@techreport{KrislockRendlWolk:10,
author = "Krislock, N. and Rendl, F. and Wolkowicz, H.",
title = "Noisy Sensor Network Localization
using Semidefinite Representations and Facial Reduction",
institution="University of Waterloo",
number="CORR 2010-01, in progress",
address="Waterloo, Ontario",
year="2010"
}
@article {MR2295140forward,
AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
}
@techreport{hw,
author="Hadley, S.W. and Wolkowicz, H.",
title="The {H}essian of a function of the eigenvalues",
institution="University of Waterloo",
year="1988",
type="Unpublished Research Report"
}
@techreport{wb2,
author="Wolkowicz, H. and Ben-Israel, A.",
title="Taking advantage of degeneracy in linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-23"
}
@techreport{wb1,
author="Wolkowicz, H. and Ben-Israel, A.",
title="A volume and constraint reducing algorithm for linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-29"
}
@techreport{h9,
author="H. Wolkowicz",
title="Generating eigenvalue bounds using optimization",
institution="University of Waterloo",
year="1985",
type="Unpublished Research Report"
}
@techreport{scw,
author="Schoettle, C. and Wolkowicz, H.",
title="The teaching assignment problem",
institution="Emory University",
year="1985",
type="Unpublished Research Report"
}
@techreport{gjmw5,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
title="Constrained ranges of sesquilinear forms",
institution="University of Waterloo",
year="1983",
type="Unpublished Research Report"
}
@techreport{w7,
author="H. Wolkowicz",
title="Bounds for the {K}antorovich ratio",
institution="The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{maw,
author="H. Massam and H. Wolkowicz",
title= "Regularization and convex approximation",
institution=" The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{w6,
author="H. Wolkowicz",
title="Optimality and the cone of affine directions",
institution=" The University of Alberta",
year="1980",
type="Unpublished Research Report"
}
%Other:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%Research Reports and Preface and Book Reviews etc...%%%%%%%%%%%%%%%%%
@techreport{FortinWolk:01,
author = "C. Fortin and H. Wolkowicz",
title = "A Survey of the Trust Region Subproblem Within a
Semidefinite Programming Framework",
institution = "University of Waterloo",
number = "CORR 2002-22",
year = "2002",
note="URL:http://orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#surveytrs",
address = "Waterloo, Canada"
}
@techreport{AlWolk:02,
author = "A. Alfakih and H. Wolkowicz",
title = "{E}uclidean Distance Matrices and the
Molecular Conformation Problem",
institution="University of Waterloo",
number="17",
address="Waterloo, Ontario",
year="2002"
}
@techreport{Wolk:02,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
institution="University of Waterloo",
number="4",
address="Waterloo, Ontario",
year="2002"
}
@techreport{ReSoWo:02,
author = "F. Rendl and R. Sotirov and H. Wolkowicz",
title = "A Note on a Simplified {HKM} Direction
for Special Classes of {SDP}",
institution = "University of Waterloo",
number = "CORR Report 2002-16",
year = "2002",
address = "Waterloo, Canada"
}
@techreport{KrPiWo:06,
author = "Krislock, N. and Piccialli, V. and H. Wolkowicz",
title = "Robust Semidefinite Programming Approaches for
Sensor Network Localization with Anchors",
institution="University of Waterloo",
number="CORR 2006-12",
note="URL:orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#sensorKPW",
address="Waterloo, Ontario",
year="2006"
}
@article {MR2295140,
AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
}
@article {MR2290680,
AUTHOR = {
R. Bhatia and R. Guralnick and S. Kirkland and
H. Wolkowicz},
TITLE = {Preface to the 12th {ILAS} {C}onference {P}roceedings,
{R}egina 2005},
NOTE = {Held in Regina, SK, June 26--29, 2005},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {421},
YEAR = {2007},
NUMBER = {1},
PAGES = {1--2},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15-06},
MRNUMBER = {MR2290680},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Graduate Students Theses:
@phdthesis{Cheung:2013,
author="Y.-L. Cheung",
title="Preprocessing and Reduction for Semidefinite Programming via
Facial Reduction: Theory and Practice",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisvrisnov13.pdf},
year="2013"
}
@phdthesis{Lin:2013,
author="M. Lin",
title="Angles, Majorization, Wielandt Inequality and Applications",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesismingmay613.pdf},
year="2013"
}
@phdthesis{krislock:2010,
author="N. Krislock",
title="Semidefinite Facial Reduction for Low-Rank Euclidean Distance
Matrix Completion",
school="University of Waterloo",
URL={http://uwspace.uwaterloo.ca/handle/10012/5093},
year="2010"
}
@phdthesis{wei:2005,
author="H. Wei",
title="Numerical Stability in
Linear Programming and Semidefinite Programming",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#weithesis},
year="2006"
}
@phdthesis{MarinaThesis,
author="M. Potaptchik",
title="Portfolio Selection Under Nonsmooth Convex
Transaction Costs",
school="University of Waterloo",
year="2006"
}
@phdthesis{Kruk:01,
author="S. Kruk",
title="High Accuracy Algorithms for the Solutions of Semidefinite
Linear Programs",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01},
year="2001"
}
@mastersthesis{Oleg:04,
author="O. Grodzevich",
title="Regularization Using a Parameterized Trust Region Subproblem",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#regularizthesis},
year="2004"
}
@mastersthesis{Yichuan:07,
author="Y. Ding",
title="On Efficient Semidefinite Relaxations for Quadratically
Constrained Quadratic Programming",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#yichuanthesis},
year="2007"
}
@mastersthesis{Danielc:10,
author="X. Cui",
title="Computing the Nearest Correlation Matrix using Difference Map
Method",
school="University of Waterloo",
year="2010"
}
@mastersthesis{HengYe:11,
author="H. Ye",
title="Efficient Trust Region Subproblem Algorithms",
school="University of Waterloo",
year="2011"
}
@mastersthesis{Fortin:00,
author="C. Fortin",
title="A Survey of the Trust Region Subproblem within a Semidefinite
Framework",
school="University of Waterloo",
year="2000"
}
@mastersthesis{Froh:03,
author="M. Froh",
title="Trust Region Subproblems and Linear Least-Squares
Regularization",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#mikefroh03},
year="2003"
}
@mastersthesis{Kruk:96,
author="S. Kruk",
title="Semidefinite Programming Applied to Nonlinear Programming",
school="University of Waterloo",
year="1996"
}
@phdthesis{zhao:96,
author="Q. Zhao",
title="Semidefinite Programming for Assignment and Partitioning Problems",
school="University of Waterloo",
year="1996"
}
@phdthesis{Anjosthesis,
author="M.F. Anjos",
title="New Convex Relaxations for the Maximum Cut and VLSI Layout
Problems",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01},
year="2001"
}
@mastersthesis{qz,
author="Q. Zhao",
title="Measures for Least Change Secant Methods",
school="University of Waterloo",
year="1993",
}
@mastersthesis{schaecke:04,
author="K. Schaecke",
title="Essay on: The {K}ronecker Product",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#kron04},
year="2004",
}
@mastersthesis{skarisch:92,
author="S.E. Karisch",
title="Trust Regions and the Quadratic Assignment Problem",
school="University of Waterloo",
year="1992"
}
@phdthesis{hadley:89,
author="S.W. Hadley",
title="Continuous Optimization Approaches to the Quadratic Assignment Problem",
school="University of Waterloo",
year="1989"
}
@mastersthesis{lund:88,
author="J. Lund",
title="Optimal Vehicle Replacement Policy",
school="University of Waterloo",
year="1988"
}
@mastersthesis{stephan:85,
author="P. Stephan",
title="An Explicit Solution to the Quadratic Dynamic Programming Problem",
school="Emory University",
year="1985"
}
@mastersthesis{schoettle:85,
author="C. Schoettle",
title="The Teaching Assignment Problem",
school="Emory University",
year="1985"
}
@mastersthesis{kumar:84,
author="R. Kumar",
title="Bounds for Eigenvalues",
school="University of Alberta",
year="1984"
}
.qap.bib 0000600 0010230 0000457 00000330316 12514230074 011747 0 ustar hwolkowi none # This file contains bib entries related to the quadratic assignment problem
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/qap.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
#
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
%AAAAAAAAAA
@techreport {AnsBri:00,
author = "K.M. ANSTREICHER and N.W. BRIXIUS",
title = "Solving quadratic assignment problems using
convex quadratic programming relaxations",
institution = "University of Iowa",
address = " Iowa City, IA",
year = "2000"
}
@article{ArmBuf63,
author = "Armour, G.C. and Buffa, E.S.",
title = "Heuristic algorithm and simulation approach to relative
location of facilities",
journal = ms,
volume = "9",
year = "1963",
pages = "294--309"
}
@article{AssXu85,
author = "ASSAD, A.A. and XU, W.",
title = "On lower bounds for a class of quadratic $\{0,1\}$
programs",
journal = "Operations Research Letters",
volume = "4",
pages = "175--180",
year = "1985"
}
%BBBBBBBBBBBBBB
@conference{BalMaz80,
author = "Balas, E. and Mazzola, J.B.",
title = "Quadratic 0-1 programming by a new linearization",
booktitle = "Proceedings of the TIMS/ORSA",
organization = "TIMS/ORSA",
address = "{Washington D.c.}",
month = "May",
year = "1980"
}
@article{BalSal89,
author = "Balas, E. and Saltzman, M.J.",
title = "Facets of the three-index assignment polytope",
journal="Discrete Applied Mathematics",
vol = "23",
year = "1989",
pages="201-229"
}
@article{BaSa91,
author = "Balas, E. and Saltzman, M.J.",
title = "An algorithm for the three-index assignment problem",
journal = or,
volume = "39",
pages = "150--161",
year = "1991"
}
@article{BalQi93,
author = "Balas, E. and Qi, L.",
title = "Linear-time separation algorithms for the three-index
assignment polytope",
journal="Discrete Applied Mathematics",
vol = "43",
year = "1993",
pages="1-12"
}
@article{BaCrSp91,
author = "Bandelt, H.-J. and Crama, Y. and Spieksma, F.C.R. ",
title = " Approximation algorithms for
multidimensional assignment problems with decomposable costs",
journal = " Discrete Applied Mathematics",
note="to appear",
year = "1991"
}
@article{BazShe79,
author = "Bazaraa, M.S. and Sherali, H.D.",
TITLE = "New approaches for solving the quadratic assignment problem", journal = orv,
volume = "32",
pages = "29--46",
year = "1979"
}
@article{BazShe80,
author = "Bazaraa, M.S. and Sherali, H.D.",
title = "Bender's partitioning scheme applied to a new formulation
of the quadratic assignment problem",
journal = nrlq,
volume = "27",
pages = "29--41",
year = "1980"
}
@article{BazShe82,
author = "Bazaraa, M.S. and Sherali, H.D.",
title = "On the use of exact and heuristic cutting plane methods for
the quadratic assignment problem",
journal = jors,
volume = "33",
pages = "991--1003",
year = "1982"
}
@article{Be:94,
author = "J.E.Beasley",
title = "Obtaining test problems using e-mail",
journal = "Journal of global optimization",
year = "1994",
note = "to appear"
}
@article{Birk:46,
author = "Birkoff, G.",
title = "Tres observaciones sobre el algebra lineal",
journal = "Univ. Nac. Tucuman Rev.",
volume = "Ser. A",
pages = "147--151",
year = "1946"
}
@article{Bok81,
author = "Bokhari, S.H.",
title = "On the mapping problem",
journal = "IEEE Transactions on Computers",
volume = "C-30",
number = 3,
pages = "207--214",
year = "1981"
}
@book{Bok87,
author = "Bokhari, S.H.",
title = "Assignment Problems in Parallel and Distributed
Computing",
publisher = "Kluwer Academic Publishers",
address = "Boston",
year = "1987"
}
@book{BrRy:91,
author = "Brualdi, R.A. and Ryser, H.J.",
title = "Combinatorial Matrix Theory",
publisher = "Cambridge University Press",
address = "New York",
year = "1991"
}
@inproceedings(ipps97.qap,
author="Adrian Br{\"u}ngger and Ambros Marzetta and Jens Clausen and
Michael Perregaard",
title="Joining Forces in Solving Large-Scale Quadratic Assignment
Problems
in Parallel",
booktitle="Proceedings of the 11th International
Parallel Processing Symposium (IPPS'97)",
year="1997",
pages="418--427",
url="http://wwwjn.inf.ethz.ch/ambros/ipps97_qap_zram.ps.gz")
@article{BufArmVol62,
author = "Buffa, E.S. and Armour, G.C. and Vollmann, T.E.",
title = "Allocating facilities with {CRAFT}",
journal = "Harvard Business Review",
volume = "42",
pages = "136--158",
year = "1962"
}
@article{BufArmVol64,
author = "Buffa, E.S. and Armour, G.C. and Vollman, T.E.",
title = "Allocating facilities with CRAFT",
journal = "Harvard Business Review",
volume = "42",
pages = "136--158",
year = "1964"
}
@article{Bur73,
author = "Burkard, R.E.",
title = "Die St$\ddot{o}$rungsmethode zur L$\ddot{o}$sung quadratischer
Zuordnungsprobleme",
journal = orv,
volume = "16",
pages = "84--108",
year = "1973"
}
@incollection{Bur84,
author = "Burkard, R.E.",
title = "Some recent advances in quadratic assignment problems",
booktitle = mp,
editors = "Cottle, R.W. and Kelmanson, M.L. and Korte, B.",
publisher = "Elsevier Publishers B.V. North-Holland",
pages = "53--68",
year = "1984"
}
@ARTICLE{burbo83,
AUTHOR = "R.E. Burkard and T. Bonniger",
TITLE = "A heuristic for quadratic Boolean programs with applications to quadratic assignment problems",
JOURNAL = "European Journal of Operational Research ",
VOLUME = 13,
YEAR = 1983,
PAGES = "374-386"
}
@TECHREPORT{BuCe:96,
author = "R.E. BURKARD and E. \c{C}ELA",
title = {Quadratic and three-dimensional assignment problems},
Number = {SFB Report63},
Institution = {Institute of Mathematics},
Address = {University of Technology Graz},
Year = {1996},
comment = {to appear in: M.~Dell'Amico, F.~Maffioli, and S.~Martello,
editors, {\em
Annotated Bibliographies in Combinatorial Optimization}}
}
@article {MR1738716,
AUTHOR = {KARISCH, S.E. and {\c{C}}ELA, E. and CLAUSEN, J. and
ESPERSEN, T.},
TITLE = {A dual framework for lower bounds of the quadratic
assignment
problem based on linearization},
JOURNAL = {Computing},
FJOURNAL = {Computing. Archives for Scientific Computing},
VOLUME = {63},
YEAR = {1999},
NUMBER = {4},
PAGES = {351--403},
ISSN = {0010-485X},
CODEN = {CMPTA2},
MRCLASS = {90C20 (90C31)},
MRNUMBER = {MR1738716 (2000i:90038)},
}
@incollection {MR1665418,
AUTHOR = {BURKARD, R.E. and {\c{C}}ELA, E. and PARDALOS,
P.M. and PITSOULIS, L.S.},
TITLE = {The quadratic assignment problem},
BOOKTITLE = {Handbook of combinatorial optimization, Vol.\ 3},
PAGES = {241--237},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1998},
MRCLASS = {90C27 (90-02 90C10)},
MRNUMBER = {MR1665418},
}
@book {MR1490831,
AUTHOR = {{\c{C}}ELA, E.},
TITLE = {The quadratic assignment problem},
SERIES = {Combinatorial Optimization},
VOLUME = {1},
NOTE = {Theory and algorithms},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {1998},
PAGES = {xvi+287},
ISBN = {0-7923-4878-8},
MRCLASS = {90-02 (65F30 90C27 90C35)},
MRNUMBER = {MR1490831 (99a:90001)},
MRREVIEWER = {Rainer Burkard},
}
@TECHREPORT{BuCeKl:94,
author = "R.E. Burkard and E. Cela and B. Klinz",
title = {On the biquadratic assignment problem},
Number = {260},
Institution = {Institute of Mathematics},
Address = {University of Technology Graz},
Year = {1993},
comment = {to appear in: DIMACS workshop on qap},
}
@book{burde80,
author = "Burkard, R.E. and Derigs, U.",
title = "Assignment and matching problems: Solution methods with
Fortran programs",
series = "Lecture Notes in Economics and Mathematical Systems",
volume = "184",
publisher = "Springer",
address = "Berlin",
year = "1980"
}
@article{BurOff77,
author = "Burkhard, R.E. and Offerman, J.",
title = "Entwurf von Schreibmaschinentastaturen mittels quadratischer
Zuordnungsprobleme",
journal = "Z. Operations Res.",
volume = "21",
pages = "B121--B132",
year = "1977"
}
@article{BurKarRen91,
author = "BURKARD, R.E. and KARISCH, S. and RENDL, F.",
title = "{QAPLIB} -- A quadratic assignment problem library",
journal = ejor,
volume = "55",
pages = "115--119",
year = "1991",
note = "www.opt.math.tu-graz.ac.at/qaplib/",
url = "www.opt.math.tu-graz.ac.at/qaplib/"
}
@article{BurRen84,
author = "Burkard, R.E. and Rendl, F.",
title = "A thermodynamically motivated simulation procedure for
combinatorial optimization problems",
journal = ejor,
volume = "17",
pages = "169--174",
year = "1984"
}
@techreport{BuRu93,
author = "R.E. Burkard and R. Rudolf",
title =
"Computational investigations on
3-dimensional axial assignment problems",
note="to appear in: Belgian Journal of Operations Research",
Institution = "Technische Universit{\"a}t Graz, Austria",
year = "1993"
}
@techreport{BuRuWo92,
author = "R.E. Burkard and R. Rudolf and G. Woeginer",
title =
"Three-dimensional axial assignment problems with decomposable
cost-coefficients",
number="Report 238",
year = "1992",
Institution = "Technische Universit{\"a}t Graz, Austria"
}
@article{BurStr78,
author = "Burkard, R.E. and Stratmann, K.{-H}.",
title = "Numerical investigations on quadratic assignment problems",
journal = nrlq,
volume = "25",
pages = "129--148",
year = "1978"
}
@article{BurFr80,
author = "Burkard, R.E. and K. Fr{\"o}hlich",
title = "Some remarks on three-dimensional assignment
problem",
journal = "Method of Oper. Res.",
volume = "36",
pages = "31--36",
year = "1980"
}
%CCCCCCCCCCCCCCCCCC
@article{ChaSko92a,
author = "Chakrapani,J. and Skorin-Kapov, J.",
title = "A Connectionist Approaches to the Quadratic Assignment Problem",
journal = "Computers and Operations Research",
volume = "19",
number = "3/4",
pages = "287-295",
year = "1992",
}
@article{ChaSko92b,
author = "Chakrapani,J. and Skorin-Kapov, J.",
title =
"Massively Parallel Tabu Search for the Quadratic Assignment problem",
journal =
"Annals of Operations Research",
volume = "forthcoming",
year = "1992",
}
@techreport{ChaSko92c,
author = "Chakrapani,J. and Skorin-Kapov, J.",
title =
"A Constructive Method to Improve Lower Bounds for the Quadratic
Assignment Problem",
institution = "State University of New York at Stony Brook",
type = "Working Paper",
year = "1992"
}
\@ARTICLE {chv...81,
author = "P.Z. Chinn, J. Chvatalova, A.K. Dewdney and N.E. Gibbs",
title = "The bandwidth problem for graphs and matrices: a survey",
journal = "Journal of Graph Theory",
year = "1982 ",
volume = "6",
pages = "223-254"}
@techreport {ClKaPeRe:96,
author = "J. CLAUSEN and S.E. KARISCH and M. PERREGARD
and F. RENDL",
title = "On the applicability of lower bounds for solvin
rectilinear quadratic assignment problems in parallel",
Institution = {Institute of Mathematics},
Address = {University of Technology Graz},
Year = {1996}}
@techreport {BrClPe:96,
author = "J. CLAUSEN and A. BRUENGGER and M. PERREGARD
and A. MARZATRA",
title = "Joining forces in problem solving:
Combining problem-specific knowledge and high-performance hardware by a
parallel search library to solve large-scale quadratic assignment
problems",
Institution = {University of Copenhagen},
Year = {1996}}
@ARTICLE {ClPe:94,
author = "J. CLAUSEN and M. PERREGARD",
title = "Solving large quadratic assignment problems in
parallel",
journal = coap,
pages = "to appear"}
\@ARTICLE {Con:90,
author = "D.T. Connolly",
title = "An improved annealing scheme fro the QAP",
journal = "Journal of Operational Research",
year = "1990 ",
volume = "46",
pages = "93-100"}
@article{CrSp92,
author = "Crama, Y. and Spieksma, F.C.R.",
title = " Approximation algorithms for three-dimensional
assignment problems with triangle inequalities",
Journal = "European Journal of
Operational Research",
volume = "60",
pages = "273--279",
year = "1992"
}
@techreport{ChrGer76,
author = "Christofides, N. and Gerrard, M.",
title = "Special cases of the quadratic assignment problem",
institution = "Carnegie Mellon University",
type = "Management Science Research Report",
number = "391",
month = "April",
year = "1976"
}
@incollection{ChrGer81,
author = "Christofides, N. and Gerrard, M.",
title = "A graph theoretic analysis of bounds for the
quadratic assignment problem",
editor = "P. Hansen",
booktitle = "Studies on graphs and discrete programming",
publisher = "North-Holland",
pages = "61--68",
year = "1981"
}
@article{ChrBen89,
author = "Christofides, N. and Benavent, E.",
title = "An exact algorithm for the quadrtic assignment problem",
Journal = or,
volume = "37",
number = "5",
pages = "760--768",
year = "1989"
}
@article{ChrMinTot80,
author = "Christofides, N. and Mingozzi, A. and Toth, P.",
title = "Contributions to the quadratic assignment problem",
journal = ejor,
volume = "4",
pages = "243--247",
year = "1980"
}
%DDDDDDDDDDDDDDD
@book{Davis:79,
author = "Davis, P.J.",
title = "Circulant matrices",
publisher = "John Wiley \& Sons",
address = "New York",
year = "1979"
}
@article{DicHop72,
author = "Dicky, J.W. and Hopkins, J.W.",
title = "Campus building arrangement using {TOPAZ}",
journal = "Transportation Research",
volume = "6",
pages = "59--68",
year = "1972"
}
@inproceedings{Do92,
author = "W. Domschke, P. Forst and S. Voss",
title = "Tabu search techniques for the quadratic
semi-assignment problem",
booktitle = "New Directions for Operations Research in
Manufacturing",
editors = "G. Fandel, T. Gulledge and A. Jones",
publisher = "Springer, Berlin",
pages = "389--405",
year = "1992"
}
@article {MR1329602,
AUTHOR = {DREZNER, Z.},
TITLE = {Lower bounds based on linear programming for the quadratic
assignment problem},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {4},
YEAR = {1995},
NUMBER = {2},
PAGES = {159--165},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C05 (90C27)},
MRNUMBER = {MR1329602 (95m:90062)},
}
%EEEEEEEEEEEEEEEEEE
@article{Edw77,
author = "Edwards, C.S.",
title = "The derivation of a greedy approximator for the
Koopmans-Beckmann quadratic assignment problem",
journal = "Proc. CP77 Combinatorial Prog. Conf.",
pages = "55--86",
year = "1977"
}
@article{Edw80,
author = "Edwards, C.S.",
title = "A branch and bound algorithm for the {K}oopmans-{B}eckman
quadratic assignment problem",
journal = mps,
volume = "13",
pages = "35--52",
year = "1980"
}
@article{Els77,
author = "Elshafei, A.N.",
title = "Hospital layout as a quadratic assignment problem",
journal = orq,
volume = "28",
pages = "167--179",
year = "1977"
}
@inproceedings{EscWun90,
author = "Eschermann, B. and Wunderlich, H.J.",
title
= "Optimized synthesis of self-testable finite state machines",
booktitle = "20th International Symposium on Fault-Tolerant
Computing (FFTCS 20)",
city = "Newcastle upon Tyne",
year = "1990"
}
@article {Eu87,
author = "R. Euler",
title = "Odd cycles and a class of facets of the axial
3-index assignment polytope",
journal = "Applicationes Mathematicae (Zastosowania
Matematyki)",
year = "1987",
volume = "XIX",
pages = "375--386"}
%FFFFFFFFFFFFFFFF
@article {Fan:51,
author = "K.~Fan",
title = "Maximum properties and inequalities for the
eigenvalues of completely continuous operators",
journal = "Proc.\ Nat.\ Acad.\ Sci.\ U.S.A.",
year = "1951",
volume = "35",
pages = "1951"}
@article{FiRoWe92,
author = "C.N. Fiechter, A. Rogger and D. de Werra",
title = "Basic ideas of tabu search
with an application to traveling salesman and quadratic assignment",
journal = "Ricerca Operativa",
volume = "62",
pages = "5--28",
year = "1992"
}
@article{FinBurRen87,
author = "FINKE, G. and BURKARD, R.E. and RENDL, F.",
title = "Quadratic assignment problems",
journal = adm,
volume = "31",
pages = "61--82",
year = "1987"
}
@book{FloPar90,
author = "Floudas, C.A. and PARDALOS, P.M.",
title = "A collection of test problems for constrained global optimization algorithms",
Publisher = "Springer-Verlag, Lecture Notes in Computer Science, No. 455",
year = "1990"
}
@techreport{FreHouRin82,
author = "Frenk, J.C.B. and Houweninge, M. van and Rinnoony Kan, A.H.G. ",
title = "Asymptotic properties of assignment problems",
institution = "Erasmus University, Rotterdam",
year = "1982"
}
@book{FraWhi74,
author = "Francis, R.L. and White, J.A.",
title = "Facility Layout and Location",
publisher = "Prentice-Hall",
address = "Englewood Cliffs, N.J.",
year = "1974"
}
@article{Fri83,
author = "A.M. Frieze",
title = "Complexity of a 3-dimensional assignment problem",
journal = ejor,
volume = "13",
pages = "161--164",
year = "1983"
}
@article{FriYad81,
author = "Frieze, A.M. and Yadegar, J.",
title = "an algorithm for solving 3-dimensional assignment
problem with application to scheduling a teaching practice",
journal = or,
volume = "32",
pages = "989--995",
year = "1981"
}
@article{FriYad83,
author = "Frieze, A.M. and Yadegar, J.",
title = "On the quadratic assignment problem",
journal = dam,
volume = "5",
pages = "89--98",
year = "1983"
}
@phdthesis{Fr79,
author = "K. Fr{\"o}hlich",
title = "Dreidimensionale Zuordnungsprobleme",
school = "Math. Institut, Universit{\"a}t K{\"o}ln",
note = "Masters Thesis",
year = "1979"
}
@phdthesis{RongZhu:07,
author = "Y-R. Zhu",
title = "Recent Advances and Challenges
in Quadratic Assignment and Related Problems",
school = "University of Pennsylvania",
note = "PhD Thesis",
year = "2007"
}
%GGGGGGGGGGGGGG
@book{GarJoh79,
author = "Garey, M.R. and Johnson, D.S.",
title = "Computers and intractability: A guide to the theory
of NP-completeness",
publisher = "W.H. Freeman and Company",
address = "New York",
year = "1979"
}
@article{GavPly66,
author = "Gavett, J.W. and Plyter, N.V.",
title = "The optimal assignment of facilities to locations by branch
and bound",
journal = or,
volume = "14",
pages = "210--232",
year = "1966"
}
@article{GeoGra76,
author = "Geoffrion, A.M. and Graves, G.W.",
title = "Scheduling parallel production lines with changeover costs:
Practical applications of a quadratic assignment/{LP} Approach",
journal = or,
volume = "24",
pages = "595--610",
year = "1976"
}
@article{PolGerRad76b,
author = "N.~Gershoni, M.A. Pollatschek and Y.T. Radday",
title = "A better Hebrew typewritter?",
journal = "Industrial Engineering",
volume = "October",
pages = "35--37",
year = "1976"
}
@article{GiPo86,
author = "I.Gilar and M.A. Pollatschek",
title = "Layout simulation for keyboard",
journal = "Behaviour and Information Technology",
volume = "5",
pages = "273--281",
year = "1986"
}
@article{Gil62,
author = "Gilmore, P.C.",
title = "Optimal and suboptimal algorithms for the quadratic assignment problem",
journal = "J. SIAM",
volume = "10",
pages = "305--313",
year = "1962"
}
@article{Glo89A,
author = "Glover, F.",
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%HHHHHHHHHHHHHHH
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%JJJJJJJJJJJJJJJ
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%KKKKKKKKKKKKKKKKK
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%LLLLLLLLLLLLL
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author = "LI, Y. and PARDALOS, P.M. and RAMAKRISHNAN, K.G. and
RESENDE, M.G.C.",
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author = {P.M. PARDALOS and K.G. RAMAKRISHNAN and M.G.C. RESENDE
and Y. LI},
title = {Implementation of a variance reduction based lower
bound
in a branch and bound algorithm for the quadratic
assignment problem},
journal = siopt,
year = {1995},
note = {To appear},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/qapbb.ps.Z}
}
@article{LiParRamRes94,
author = {Y. LI and P.M. PARDALOS and K.G. RAMAKRISHNAN and
M.G.C. RESENDE},
title = {Lower bounds for the quadratic assignment problem},
journal = {Annals of Operations Research},
volume = {50},
pages = {387--411},
year = {1994},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/qapbnd.ps.Z}
}
\incollection{LiParRes94,
author = {Y. LI and P.M. PARDALOS and M.G.C. RESENDE},
title = {A Greedy Randomized Adaptive Search Procedure for
the Quadratic Assignment Problem},
booktitle = {Quadratic assignment and related problems},
editor = {P.M. PARDALOS and H. Wolkowicz},
series = {{DIMACS} Series on Discrete Mathematics and
Theoretical
Computer Science},
publisher = {American Mathematical Society},
volume = {16},
pages = {237--261},
year = {1994},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/grpqap.ps.Z}
}
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author = {P.M. PARDALOS and L.S. PITSOULIS and M.G.C. RESENDE},
title = {A parallel {GRASP} implementation for the quadratic
assignment problem},
booktitle = {Parallel Algorithms for Irregularly
Structured Problems~-- Irregular'94},
editor = {A. Ferreira and J. Rolim},
publisher = {Kluwer Academic Publishers},
year = {1995},
pages = {111--130},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/gqaps-parallel.ps.Z}
}
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with heuristic methods},
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number = {1},
year = {1995},
pages = {9--32},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/guidelines.ps.Z}
}
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author = {M.G.C. RESENDE and K.G. RAMAKRISHNAN and Z. DREZNER},
title = {Computing lower bounds for the quadratic assignment
problem with an interior point algorithm for linear
programming},
journal = {Operations Research},
volume = {43},
number = {5},
year = {1995},
pages = {781--791},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/qaplp.ps.Z}
}
@article{ResParLi94,
author = {M.G.C. RESENDE and P.M. PARDALOS and Y. LI},
title = {Algorithm 754: {F}ortran subroutines for approximate
solution of
dense quadratic assignment problems using {GRASP}},
journal = {ACM Transactions on Mathematical Software},
note = {To appear},
volume = {22},
number = {1},
month = {March},
year = {1996},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
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}
@inproceedings{RamResPar95,
author = {K.G. RAMAKRISHNAN and M.G.C. RESENDE and P.M.
PARDALOS},
title = {A branch and bound algorithm for the quadratic
assignment
problem using a lower bound based on linear
programming},
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Computational
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editor = {C. Floudas and P.M. PARDALOS},
publisher = {Kluwer Academic Publishers},
year = {1995},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/qaplpbb.ps.Z}
}
@inproceedings{RaRePa:95,
author = {K.G. RAMAKRISHNAN and M.G.C. RESENDE and P.M.
PARDALOS},
title = {A branch and bound algorithm for the quadratic
assignment
problem using a lower bound based on linear
programming},
booktitle = {State of the Art in Global Optimization:
Computational
Methods and Applications},
editor = {C. Floudas and P.M. PARDALOS},
publisher = {Kluwer Academic Publishers},
year = {1995},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/qaplpbb.ps.Z}
}
\incollection{LiParRes94,
author = {Y. LI and P.M. PARDALOS and M.G.C. RESENDE},
title = {A Greedy Randomized Adaptive Search Procedure for
the Quadratic Assignment Problem},
booktitle = {Quadratic assignment and related problems},
editor = {P.M. PARDALOS and H. Wolkowicz},
series = {{DIMACS} Series on Discrete Mathematics and
Theoretical
Computer Science},
publisher = {American Mathematical Society},
volume = {16},
pages = {237--261},
year = {1994},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/grpqap.ps.Z}
}
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%NNNNNNNNNNNNNNNN
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%OOOOOOOOOOOOOOOOOOO
%PPPPPPPPPPPPPPPPPPP
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year = "1989"
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%QQQQQQQQQQQQQ
@techreport{QiBa90,
author = "L. Qi and E. Balas",
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%RRRRRRRRRRRRRRR
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%SSSSSSSSSSS
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%VVVVVVVVV
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%WWWWWWWWW
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% alpha done till here alphabetize
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% end of database
% beginning of scott's bib file data
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JOURNAL = "Operational Research Quarterly ",
VOLUME = 14,
YEAR = 1963,
PAGES = "185-198"
}
@ARTICLE{Law:63,
AUTHOR = "E. LAWLER ",
TITLE = "The Quadratic Assignment Problem",
JOURNAL = ms,
VOLUME = 9,
YEAR = 1963,
PAGES = "586-599"
}
@ARTICLE{las80,
AUTHOR = "R. S. Lashkari and S. C. Jaisingh ",
TITLE = "An Heuristic Approach to Quadratic Assignment Problem",
JOURNAL = "Journal of the Operational Research Society",
VOLUME = 31,
NUMBER = 9,
YEAR = 1980,
PAGES = "845-850"
}
@BOOK{lmw88,
AUTHOR = "Robert F. Love and James G. Morris and George O. Wesolowsky",
TITLE = "Facilities Location: Models and Methods ",
PUBLISHER = "North-Holland ",
YEAR = 1988
}
@ARTICLE{lovwo76a,
AUTHOR = "R. F. Love and J. Y. Wong ",
TITLE = "Solving Quadratic Assignment Problems with Rectangular Distances and Integer Programming",
JOURNAL = "Naval Research Logistics Quarterly",
VOLUME = 23,
YEAR = 1976,
PAGES = "623-627"
}
@ARTICLE{lovwo76b,
AUTHOR = "R. F. Love and J. Y. Wong ",
TITLE = "On Solving A One-dimensional Space Allocation Problem with Integer Programming",
JOURNAL = "INFOR",
VOLUME = 14,
YEAR = 1976,
PAGES = "139-143"
}
@ARTICLE{mirsky,
AUTHOR = "L. Mirsky ",
TITLE = "The Spread of a Matrix",
JOURNAL = "Mathematika",
VOLUME = 3,
YEAR = 1956,
PAGES = "127-130"
}
@BOOK{mo79,
AUTHOR = "A.W. MARSHALL and I. OLKIN",
TITLE = "Inequalities:Theory of Majorization and its Applications",
PUBLISHER = "Academic Press ",
ADDRESS = "New York",
YEAR = 1979
}
@INPROCEEDINGS{noc83,
AUTHOR = "J. Nocedal and M.L. Overton",
TITLE = "Numerical Methods for Solving Inverse Eigenvalue Problems",
BOOKTITLE = "Numerical Methods : Proceedings of the International Workshop held at Caracus, June 14-18, 1982",
YEAR = 1982,
PAGES = "55-86"
}
@ARTICLE{Nug:68,
AUTHOR = "C.E. Nugent and T.E. Vollman and J. Ruml",
TITLE = "An Experimental Comparison of Techniques for the Assignment of Facilities to Locations ",
JOURNAL = "Operations Research ",
VOLUME = 16,
YEAR = 1968,
PAGES = "150-173"
}
@TECHREPORT{ove87,
AUTHOR = "M.L. Overton ",
TITLE = "On Minimizing the Maximum Eigenvalue of a Symmetric Matrix ",
YEAR = 1987,
INSTITUTION = "Centre for Mathematical Analysis, Australian National University",
NUMBER = "CMA-R03-87"
}
@TECHREPORT{parcr89,
AUTHOR = "P.M. PARDALOS and J.V. Crouse ",
TITLE = "A Parallel Algorithm for the Quadratic Assignment Problem ",
YEAR = 1989,
INSTITUTION = "The Pennsylvania State University, University Park, PA."
}
@ARTICLE{peg66,
AUTHOR = "C.C. Pegels ",
TITLE = "Plant Layout and Discrete Optimizing ",
JOURNAL = "International Journal of Production Research",
VOLUME = 5,
YEAR = 1966,
PAGES = "81-92"
}
@INBOOK{pulleyart,
AUTHOR = "W.R. Pulleyblank ",
TITLE = "Mathematical Programming The State of the Art ",
PUBLISHER = "Springer-Verlag ",
YEAR = 1982,
PAGES = "312-345"
}
@ARTICLE{rw89,
AUTHOR = "F. RENDL and H. WOLKOWICZ ",
TITLE = "Applications of Parametric Programming and Eigenvalue Maximization to the Quadratic Assignment Problem",
YEAR = 1991,
VOLUME = 53,
JOURNAL = mprog,
PAGES = "63-73"
}
@ARTICLE{rendlsotirov:06,
AUTHOR = "F. RENDL and R. SOTIROV",
TITLE = {Bounds for the quadratic assignment problem using the
bundle
method},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {505--524},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C27 90C51)},
MRNUMBER = {MR2295153 (2008c:90043)},
MRREVIEWER = {Etienne de Klerk},
}
@ARTICLE{Rou:87,
AUTHOR = "C. ROUCAIROL ",
TITLE = "A Parallel Branch and Bound Algorithm for the Quadratic Assignment Problem",
JOURNAL = "Discrete Applied Mathematics",
VOLUME = 15,
YEAR = 1987,
PAGES = "211-225"
}
@ARTICLE{roua79,
AUTHOR = "C. Roucairol ",
TITLE = "A Reduction Method for Quadratic Assignment Problems",
JOURNAL = "Operations Research Verfahren ",
VOLUME = 32,
YEAR = 1979,
PAGES = "183-187"
}
@ARTICLE{roub79,
AUTHOR = "C. Roucairol ",
TITLE = "Un nouvel algorithme pour le probleme d'affectation quadratique",
JOURNAL = "R.A.I.R.O. ",
VOLUME = 13,
YEAR = 1979,
PAGES = "275-301"
}
@ARTICLE{SahGon:76,
AUTHOR = "S. Sahni and T.~Gonzales",
TITLE = "P-complete Approximation Problems ",
JOURNAL = "Journal of ACM ",
VOLUME = 23,
YEAR = 1976,
PAGES = "555-565"
}
@ARTICLE{shera86,
AUTHOR = "H.D. Sherali and P. Rajgopal ",
TITLE = "A flexible polynomial-time, construction and improvement heuristic for the quadratic assignment problem ",
JOURNAL = "Computers and Operations Research ",
VOLUME = 13,
NUMBER = 5,
YEAR = 1986,
PAGES = "587-600"
}
@ARTICLE{s61,
AUTHOR = "L. Steinberg ",
TITLE = "The Backboard Wiring Problem: A Placement Algorithm",
JOURNAL = "SIAM Review ",
VOLUME = 3,
YEAR = 1961,
PAGES = "37-50"
}
@ARTICLE{ugi79,
AUTHOR = "I. Ugi and J. Bauer and J. Friedrich and J. Gasteiger and C. Jochum and W. Schubert ",
TITLE = "Neue Anwendungsgebiete fur Computer in der Chemie",
JOURNAL = "Angew. Chemie ",
VOLUME = 91,
YEAR = 1979,
PAGES = "99-184"
}
@INPROCEEDINGS{vanro,
AUTHOR = "A. Vannelli and G. S. Rowan ",
TITLE = "An eigenvector based approach for efficient multi-stack layout in VLSI design",
BOOKTITLE = "29th Midwest Symposium on Circuits and Systems ",
EDITOR = "M. Ismail",
PUBLISHER = "Noth Holland, New York",
YEAR = 1986,
PAGES = "435-439"
}
@ARTICLE{vb66,
AUTHOR = "T. E. Vollman and E. S. Buffa ",
TITLE = "The Facilities Layout Problem in Perspective",
JOURNAL = ms,
VOLUME = 12,
YEAR = 1966,
PAGES = "450-468"
}
@ARTICLE{we64,
AUTHOR = "B. Whitehead and M. Z. Elders ",
TITLE = "An Approach to the Optimum Layout of Single-Story Buildings ",
JOURNAL = "Architect's Journal ",
VOLUME = 139,
YEAR = 1964,
PAGES = "1373-1380"
}
@ARTICLE{wilwa87,
AUTHOR = "M.R. Wilhelm and T.L. Ward ",
TITLE = "Solving Quadratic Assignment Problems by Simulated Annealing ",
JOURNAL = "IIE Transactions ",
VOLUME = 19,
YEAR = 1987,
PAGES = "107-119"
}
@ARTICLE{xia07,
AUTHOR = "Y. XIA",
TITLE = "New Semidefinite Relaxations for the Quadratic Assignment Problem ",
JOURNAL = "Private Communications ",
YEAR = 2007,
}
@techreport{peng07,
AUTHOR = "H. MITTELMANN and J. PENG",
TITLE = "Estimating Bounds for Quadratic Assignment Problems Associated with Hamming and Manhattan Distance Matrices based on Semidefinite Programming",
institution = "University of Illinois at Urbana-Champaign",
address = "Urbana IL",
YEAR = 2007
}
@inproceedings{mobasher07,
AUTHOR = "A. MOBASHER and A.K. KHANDANI",
TITLE = "Matrix-lifting Semi-Definite Programming for Decoding in Multiple Antenna Systems",
booktitle= "10th Canadian Workshop on Information Theory, CWIT",
pages = "136-139",
YEAR = 2007,
}
.quasi.bib 0000600 0010230 0000457 00000011170 12346654604 012316 0 ustar hwolkowi none # This file contains papers related to quasi-Newton methods
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/quasi.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
%AAAAAAAAAAAA
%EEEEEEEEEEEEEEEEEE
@article {MR91k:90162,
AUTHOR = {Engels, John R. and Mart{\'\i}nez, H{\'e}ctor J.},
TITLE = {Local and superlinear convergence for partially known
quasi-{N}ewton methods},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {1},
YEAR = {1991},
NUMBER = {1},
PAGES = {42--56},
ISSN = {1052-6234},
CODEN = {SJOPE8},
}
%PPPPPPPPPPPPPPPPPPP
@article {MR86h:49038,
AUTHOR = {Passy, U. and Prisman, E. Z.},
TITLE = {Secant relations versus positive definiteness in
quasi-{N}ewton
methods},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {44},
YEAR = {1984},
NUMBER = {4},
PAGES = {681--687},
ISSN = {0022-3239},
keywords = "linear least squares",
CODEN = {JOTABN},
}
%SSSSSSSSSSSSSSSSSS
@incollection {MR91b:90191,
AUTHOR = {Schittkowski, K.},
TITLE = {Solving constrained nonlinear least squares problems by a
general purpose {S}{Q}{P}-method},
BOOKTITLE = {Trends in mathematical optimization (Irsee, 1986)},
PAGES = {295--309},
SERIES = {Internat. Schriftenreihe Numer. Math.},
VOLUME = {84},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1988},
}
% XXXXXXXXXXXXXXXx
@article {MR97j:65103,
AUTHOR = {Xu, Chengxian and Ma, Xiaofang},
TITLE = {Factorized updating methods for nonlinear least squares},
NOTE = {Conference on Scientific Computation '94 (Shatin, 1994)},
JOURNAL = {Southeast Asian Bull. Math.},
FJOURNAL = {Southeast Asian Mathematical Society. Southeast Asian
Bulletin
of Mathematics},
VOLUME = {20},
YEAR = {1996},
NUMBER = {3},
PAGES = {97--102},
ISSN = {0218-0006},
}
% YYYYYYYYYYYYYYYY
@article {MR93a:90051,
AUTHOR = {Yabe, Hiroshi and Takahashi, Toshihiko},
TITLE = {Numerical comparison among structured quasi-{N}ewton
methods
for nonlinear least squares problems},
JOURNAL = {J. Oper. Res. Soc. Japan},
FJOURNAL = {Journal of the Operations Research Society of Japan},
VOLUME = {34},
YEAR = {1991},
NUMBER = {3},
PAGES = {287--305},
ISSN = {0453-4514},
CODEN = {JORJAS},
}
.rendlW.bib 0000600 0010230 0000457 00000024353 12346654604 012436 0 ustar hwolkowi none # This file contains papers related to semidefinite programming, SDP.
# This file is also available at:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
# as part of: Bibliographies on Mathematics
# Bibliography on Semidefinite Programming
# with URL http://liinwww.ira.uka.de/bibliography/Math/psd.html
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
###########
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
@article {MR1891034,
AUTHOR = {Kruk, Serge and Muramatsu, Masakazu and Rendl, Franz and
Vanderbei, Robert J. and Wolkowicz, Henry},
TITLE = {The {G}auss-{N}ewton direction in semidefinite
programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {15},
YEAR = {2001},
NUMBER = {1},
PAGES = {1--28},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1891034 (2003b:90063)},
MRREVIEWER = {Marina Alex Epelman},
}
@article {MR1616871,
AUTHOR = {Zhao, Qing and Karisch, Stefan E. and Rendl, Franz and
Wolkowicz, Henry},
TITLE = {Semidefinite programming relaxations for the quadratic
assignment problem},
NOTE = {Semidefinite programming and interior-point approaches
for
combinatorial optimization problems (Toronto, ON,
1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {71--109},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C26)},
MRNUMBER = {MR1616871 (99f:90103)},
MRREVIEWER = {Yin Zhang},
}
@article {MR1461384,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {A semidefinite framework for trust region subproblems
with
applications to large scale minimization},
NOTE = {Semidefinite programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2, Ser. B},
PAGES = {273--299},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C20 (90C33)},
MRNUMBER = {MR1461384 (98i:90063)},
MRREVIEWER = {M. Teboulle},
}
@article {MR1387330,
AUTHOR = {Helmberg, Christoph and Rendl, Franz and Vanderbei,
Robert J.
and Wolkowicz, Henry},
TITLE = {An interior-point method for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {MR1387330 (97f:90086)},
MRREVIEWER = {Tam{\'a}s Terlaky},
}
@incollection {MR1367976,
AUTHOR = {Helmberg, C. and Poljak, S. and Rendl, F. and Wolkowicz,
H.},
TITLE = {Combining semidefinite and polyhedral relaxations for
integer
programs},
BOOKTITLE = {Integer programming and combinatorial optimization
(Copenhagen, 1995)},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {920},
PAGES = {124--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {MR1367976},
}
@article {MR1349612,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {A projection technique for partitioning the nodes of a
graph},
NOTE = {Applied mathematical programming and modeling, II (APMOD
93)
(Budapest, 1993)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {58},
YEAR = {1995},
PAGES = {155--179},
ISSN = {0254-5330},
MRCLASS = {90C35 (05C99)},
MRNUMBER = {MR1349612 (96g:90096)},
MRREVIEWER = {Xueliang Li},
}
@article {MR1342935,
AUTHOR = {Poljak, S. and Rendl, F. and Wolkowicz, H.},
TITLE = {A recipe for semidefinite relaxation for
{$(0,1)$}-quadratic
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {51--73},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C09 (90C27)},
MRNUMBER = {MR1342935 (96d:90053)},
MRREVIEWER = {Paulo Barcia},
}
@article {MR1297064,
AUTHOR = {Falkner, Julie and Rendl, Franz and Wolkowicz, Henry},
TITLE = {A computational study of graph partitioning},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {211--239},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
MRNUMBER = {MR1297064 (95h:90153)},
MRREVIEWER = {Yixun Lin},
}
@incollection {MR1290354,
AUTHOR = {Karisch, Stefan E. and Rendl, Franz and Wolkowicz,
Henry},
TITLE = {Trust regions and relaxations for the quadratic
assignment
problem},
BOOKTITLE = {Quadratic assignment and related problems (New
Brunswick, NJ,
1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {16},
PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {MR1290354 (95j:90053)},
MRREVIEWER = {Igor Litvinchev},
}
@incollection {MR1290345,
AUTHOR = {Pardalos, Panos M. and Rendl, Franz and Wolkowicz,
Henry},
TITLE = {The quadratic assignment problem: a survey and recent
developments},
BOOKTITLE = {Quadratic assignment and related problems (New
Brunswick, NJ,
1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {16},
PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90B80 (90C10 90C27)},
MRNUMBER = {MR1290345 (95f:90040)},
MRREVIEWER = {Horst W. Hamacher},
}
@article {MR1177733,
AUTHOR = {Hadley, S. W. and Rendl, F. and Wolkowicz, H.},
TITLE = {A new lower bound via projection for the quadratic
assignment
problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {17},
YEAR = {1992},
NUMBER = {3},
PAGES = {727--739},
ISSN = {0364-765X},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {MR1177733 (93i:90080)},
MRREVIEWER = {M. C. Puri},
}
@article {MR1155441,
AUTHOR = {Hadley, S. W. and Rendl, F. and Wolkowicz, H.},
TITLE = {Symmetrization of nonsymmetric quadratic assignment
problems
and the {H}offman-{W}ielandt inequality},
NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {167},
YEAR = {1992},
PAGES = {53--64},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (15A42 90B80)},
MRNUMBER = {MR1155441 (93d:90050)},
MRREVIEWER = {Rainer Burkard},
}
@article {MR1151765,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {Applications of parametric programming and eigenvalue
maximization to the quadratic assignment problem},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {53},
YEAR = {1992},
NUMBER = {1, Ser. A},
PAGES = {63--78},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (90C20 90C30)},
MRNUMBER = {MR1151765 (93c:90098)},
MRREVIEWER = {M. C. Puri},
}
.resende.bib 0000600 0010230 0000457 00000062221 12346654604 012624 0 ustar hwolkowi none @inproceedings{Res83,
author = {M.G.C. Resende},
title = {Implementation and testing of a primal-dual algorithm
for the assignment problem},
booktitle = {XIII Brazilian Operations Research Symposium},
month = {October},
year = {1980},
pages = {284--299},
note = {In Portuguese}
}
@article{CamCouRes84,
author = {R.E. Campello and L.H. Coutinho and M.G.C. Resende},
title = {A generation dispatching system for the analysis
of transmission and energy interchange in {B}razil},
journal = {Chilean Journal of Systems Engineering},
volume = {4},
pages = {45--68},
year = {1984},
note = {In Spanish}
}
@techreport{Res85,
author = {M.G.C. Resende},
title = {Computer simulation of semiconductor wafer
fabrication},
number = {ORC 86-14},
institution = {Operations Research Center,
University of California},
address = {Berkeley, CA},
month = {December},
year = {1985}
}
@article{Res86,
author = {M.G.C. Resende},
title = {A computer program for reliability evaluation of
large-scale networks via polygon-to-chain reductions},
journal = {IEEE Transactions on Reliability},
volume = {R-35},
pages = {24--29},
year = {1986}
}
@phdthesis{Res87,
author = {M.G.C. Resende},
title = {Shop floor scheduling of semiconductor wafer
manufacturing},
school = {University of California},
address = {Berkeley, CA},
month = {August},
year = {1987}
}
@article{GlaRes88a,
author = {C.R. Glassey and M.G.C. Resende},
title = {Closed-loop job release control for {VLSI} circuit
manufacturing},
journal = {IEEE Transactions on Semiconductor Manufacturing},
volume = {1},
pages = {36--46},
year = {1988}
}
@article{GlaRes88b,
author = {C.R. Glassey and M.G.C. Resende},
title = {A scheduling rule for job release in semiconductor
fabrication},
journal = {Operations Research Letters},
volume = {7},
pages = {213--217},
year = {1988}
}
@article{FeoRes89,
author = {T.A. Feo and M.G.C. Resende},
title = {A probabilistic heuristic for a computationally
difficult set covering problem},
journal = {Operations Research Letters},
volume = {8},
pages = {67--71},
year = {1989}
}
@article{AdlKarResVei89,
author = {I. Adler and N.K. Karmarkar and M.G.C. Resende and G. Veiga},
title = {Data structures and programming techniques for the
implementation of {K}armarkar's algorithm},
journal = {ORSA Journal on Computing},
volume = {1},
pages = {84--106},
year = {1989}
}
@article{AdlResVeiKar89,
author = {I. Adler and M.G.C. Resende and G. Veiga and N. Karmarkar},
title = {An implementation of {K}armarkar's algorithm for
linear programming},
journal = {Mathematical Programming},
volume = {44},
pages = {297--335},
year = {1989},
URL = {http://www.research.att.com/~mgcr/doc/das.ps.Z}
}
@inproceedings{KarResRam89,
author = {N. Karmarkar and M.G.C. Resende and K.G. Ramakrishnan},
title = {An interior point approach to the maximum independent set
problem in dense random graphs},
booktitle = {XIII Latin American Conference on Informatics},
address = {Santiago, Chile},
volume = {1},
pages = {241--260},
month = {July},
year = {1989},
URL = {http://www.research.att.com/~mgcr/doc/intmis.ps.Z}
}
@inproceedings{KamKarRamRes90a,
author = {A.P. Kamath and N. Karmarkar and K.G. Ramakrishnan
and M.G.C. Resende},
title = {Computational experience with an interior point algorithm
on the {S}atisfiability {P}roblem},
booktitle = {MPS Conference on Integer Programming and
Combinatorial Optimization},
address = {Waterloo University, Waterloo, Canada},
pages = {333--349},
month = {May},
year = {1990}
}
@article{KamKarRamRes90b,
author = {A.P. Kamath and N. Karmarkar and K.G. Ramakrishnan and
M.G.C. Resende},
title = {Computational experience with an interior point algorithm
on the {S}atisfiability {P}roblem},
journal = {Annals of Operations Research},
volume = {25},
pages = {43--58},
year = {1990}
}
@article{MonAdlRes90,
author = {R.D.C. Monteiro and I. Adler and M.G.C. Resende},
title = {A polynomial-time primal-dual affine scaling algorithm
for linear and convex quadratic programming and its
power series extension},
journal = {Mathematics of Operations Research},
volume = {15},
pages = {191--214},
year = {1990},
URL = {http://www.research.att.com/~mgcr/doc/pdas.ps.Z}
}
@article{KarResRam91,
author = {N. Karmarkar and M.G.C. Resende and K.G. Ramakrishnan},
title = {An interior point algorithm to solve computationally
difficult set covering problems},
journal = {Mathematical Programming},
volume = {52},
pages = {597--618},
year = {1991},
URL = {http://www.research.att.com/~mgcr/doc/stn.ps.Z}
}
@article{KamKarRamRes92,
author = {A.P. Kamath and N. Karmarkar and K.G. Ramakrishnan and
M.G.C. Resende},
title = {A continuous approach to inductive inference},
journal = {Mathematical Programming},
volume = {57},
pages = {215--238},
year = {1992},
URL = {http://www.research.att.com/~mgcr/doc/indinf.ps.Z}
}
@article{ParRes92,
author = {P.M. Pardalos and M.G.C. Resende},
title = {Computational Aspects of Combinatorial Optimization},
journal = {COAL Bulletin, Mathematical Programming Society},
volume = {21},
year = {1992}
}
@inproceedings{KamKarRamRes93,
author = {A.P. Kamath and N. Karmarkar and K.G. Ramakrishnan
and M.G.C. Resende},
title = {An interior point approach to {B}oolean vector function
synthesis},
booktitle = {36th MSCAS},
pages = {185--189},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/vector.ps.Z}
}
@article{ResVei93a,
author = {M.G.C. Resende and G.Veiga},
title = {An implementation of the dual affine scaling algorithm
for minimum cost flow on bipartite uncapacitated networks},
journal = {SIAM Journal on Optimization},
volume = {3},
pages = {516--537},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/dlasg.ps.Z}
}
@techreport{ResTsuVei93,
author = {M.G.C. Resende and T. Tsuchiya and G. Veiga},
title = {Identifying the optimal face of a network linear program
with a globally convergent interior point method},
booktitle = {NETFLOW93},
number = {TR-21/93},
institution = {Dipartimento di Informatica, Universit\`a di Pisa},
pages = {196--206},
month = {October},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/optface.ps.Z}
}
@article{ResVei93b,
author = {M.G.C. Resende and G. Veiga},
title = {Computing the projection in an interior point algorithm:
An experimental comparison},
journal = {Investigaci\'on Operativa},
volume = {3},
pages = {81--92},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/cgvsdf.ps.Z}
}
@incollection{ResVei93c,
author = {M.G.C. Resende and G. Veiga},
title = {An efficient implementation of a network interior
point method},
booktitle = {Network Flows and Matching: First {DIMACS}
Implementation Challenge},
editor = {D.S. Johnson and C.C. McGeoch},
series = {{DIMACS} Series on Discrete Mathematics and
Theoretical Computer Science},
publisher = {American Mathematical Society},
volume = {12},
pages = {299--348},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/dlnet.ps.Z}
}
@article{FeoResSmi94,
author = {T.A. Feo and M.G.C. Resende and S.H. Smith},
title = {A greedy randomized adaptive search procedure for
maximum independent set},
journal = {Operations Research},
volume = {42},
pages = {860--878},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/gmis.ps.Z}
}
@article{LiParRamRes94,
author = {Y. Li and P.M. Pardalos and K.G. Ramakrishnan and
M.G.C. Resende},
title = {Lower bounds for the quadratic assignment problem},
journal = {Annals of Operations Research},
volume = {50},
pages = {387--411},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/qapbnd.ps.Z}
}
@article{ParRamResLi94,
author = {P.M. Pardalos and K.G. Ramakrishnan and M.G.C. Resende
and Y. Li},
title = {Implementation of a variance reduction based lower bound
in a branch and bound algorithm for the quadratic
assignment problem},
journal = {SIAM Journal on Optimization},
year = {1997},
volume = {7},
pages = {196--208},
URL = {http://www.research.att.com/~mgcr/doc/qapbb.ps.Z}
}
@techreport{ParResRam94,
author = {P.M. Pardalos and M.G.C. Resende and K.G. Ramakrishnan},
title = {{DIMACS} workshop on parallel processing of
discrete optimization problems},
number = {94-20},
institution = {Center for Discrete Mathematics and Theoretical
Computer Science},
address = {Piscataway, NJ},
month = {April},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/ppdop.ps.Z}
}
incollection{ResFeo95,
author = {M.G.C. Resende and T.A. Feo},
title = {A {GRASP} for Satisfiability},
booktitle = {The Second {DIMACS} Implementation Chellenge},
editor = {M.A. Trick},
series = {{DIMACS} Series on Discrete Mathematics and
Theoretical Computer Science},
year = {1995},
URL = {http://www.research.att.com/~mgcr/doc/grpsat-long.ps.Z}
}
@incollection{ResTsuVei94,
author = {M.G.C. Resende and T. Tsuchiya and G. Veiga},
title = {Identifying the optimal face of a network linear program
with a globally convergent interior point method},
booktitle = {Large Scale Optimization: State of the Art},
editor = {W.W. Hager and D.W. Hearn and P.M. Pardalos},
publisher = {Kluwer Academic Publishers},
pages = {362--387},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/optface.ps.Z}
}
incollection{LiParRes94,
author = {Y. Li and P.M. Pardalos and M.G.C. Resende},
title = {A Greedy Randomized Adaptive Search Procedure for
the Quadratic Assignment Problem},
booktitle = {Quadratic assignment and related problems},
editor = {P.M. Pardalos and H. Wolkowicz},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
volume = {16},
pages = {237--261},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/grpqap.ps.Z} }
@article{FeoRes95,
author = {T.A. Feo and M.G.C. Resende},
title = {Greedy randomized adaptive search procedures},
journal = {Journal of Global Optimization},
volume = {6},
pages = {109--133},
year = {1995},
URL = {http://www.research.att.com/~mgcr/doc/gtut.ps.Z}
}
@inproceedings{ParPitRes95,
author = {P.M. Pardalos and L.S. Pitsoulis and M.G.C. Resende},
title = {A parallel {GRASP} implementation for the quadratic
assignment problem},
booktitle = {Parallel Algorithms for Irregularly
Structured Problems~-- Irregular'94},
editor = {A. Ferreira and J. Rolim},
publisher = {Kluwer Academic Publishers},
year = {1995},
pages = {111--130},
URL = {http://www.research.att.com/~mgcr/doc/gqaps-parallel.ps.Z}
}
@book{ParResRam95,
author = {P.M. Pardalos and M.G.C. Resende and K.G. Ramakrishnan},
title = {Parallel Processing of Discrete Optimization Problems},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
volume = {22},
year = {1995}
}
@inproceedings{RamResPar95,
author = {K.G. Ramakrishnan and M.G.C. Resende and P.M. Pardalos},
title = {A branch and bound algorithm for the quadratic assignment
problem using a lower bound based on linear programming},
booktitle = {State of the Art in Global Optimization: Computational
Methods and Applications},
editor = {C. Floudas and P.M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1995},
pages = {57--73},
URL = {http://www.research.att.com/~mgcr/doc/qaplpbb.ps.Z}
}
@incollection{ResPar95,
author = {M.G.C. Resende and P.M. Pardalos},
title = {Interior point algorithms for network flow problems},
booktitle = {Advances in linear and integer programming},
editor = {J.E. Beasley},
publisher = {Oxford University Press},
year = {1996},
pages = {149--189},
URL = {http://www.research.att.com/~mgcr/doc/ipnf.ps.Z}
}
@article{ResParLi94,
author = {M.G.C. Resende and P.M. Pardalos and Y. Li},
title = {Algorithm 754: {F}ortran subroutines for approximate
solution of
dense quadratic assignment problems using {GRASP}},
journal = {ACM Transactions on Mathematical Software},
volume = {22},
pages = {104--118},
month = {March},
year = {1996},
URL = {http://www.research.att.com/~mgcr/doc/gqapd.ps.Z}
}
@article{ResRamDre95,
author = {M.G.C. Resende and K.G. Ramakrishnan and Z. Drezner},
title = {Computing lower bounds for the quadratic assignment
problem with an interior point algorithm for linear
programming},
journal = {Operations Research},
volume = {43},
number = {5},
year = {1995},
pages = {781--791},
URL = {http://www.research.att.com/~mgcr/doc/qaplp.ps.Z}
}
@inproceedings{MarParPitRes95a,
author = {P.M. Pardalos and L. Pitsoulis and
T. Mavridou and M.G.C. Resende},
title = {Parallel search for combinatorial optimization: Genetic
algorithms, simulated annealing, tabu search, and {GRASP}},
booktitle = {Parallel Algorithms for Irregularly
Structured Problems, Proceedings of
the Second International Workshop --Irregular'95},
editor = {A. Ferreira and J. Rolim},
series = {Lecture Notes in Computer Science},
publisher = {Springer-Verlag},
volume = {980},
year = {1995},
pages = {317--331},
URL = {http://www.research.att.com/~mgcr/doc/irregular95.ps.Z} }
@article{BarGolKelResSte95,
author = {R.S. Barr and B.L. Golden and J.P. Kelly and
M.G.C. Resende and W.R. Stewart},
title = {Designing and reporting on computational experiments
with heuristic methods},
journal = {Journal of Heuristics},
volume = {1},
number = {1},
year = {1995},
pages = {9--32},
URL = {http://www.research.att.com/~mgcr/doc/guidelines.ps.Z}
}
@article{ResRib95,
author = {M.G.C. Resende and C.C. Ribeiro},
title = {A {GRASP} for graph planarization},
journal = {Networks},
volume = {29},
pages = {173--189},
year = {1997},
URL = {http://www.research.att.com/~mgcr/doc/gmpsg.ps.Z}
}
@article{ParPitRes97,
author = {P.M. Pardalos and L.S. Pitsoulis and
M.G.C. Resende},
title = {Algorithm 769: {FORTRAN} subroutines for
approximate solution of
sparse quadratic assignment problems using {GRASP}},
journal = {ACM Trans. Math. Software},
year = {1997},
volume = {23},
number = {2},
pages = {196--208}
}
@article{MavParPitRes98,
author = {T. Mavridou and P.M. Pardalos and L.S. Pitsoulis and
M.G.C. Resende},
title = {A {GRASP} for the biquadratic assignment problem},
journal = {European Journal of Operational Research},
volumne = {105},
year = {1998},
pages = {613--621},
URL = {http://www.research.att.com/~mgcr/doc/gbiqap.ps.Z}
}
@incollection{ParRes96,
author = {P.M. Pardalos and M.G.C. Resende},
title = {Interior point methods for global optimization},
booktitle = {Interior point methods in mathematical programming},
editor = {T. Terlaky},
publisher = {Kluwer Academic Publishers},
year = {1996},
pages = {467--500},
URL = {http://www.research.att.com/~mgcr/doc/ipgo.ps.Z}
}
@incollection{RamResRamPek96,
author = {K.G. Ramakrishnan and M.G.C. Resende and B. Ramachandran
and J.F. Pekny},
title = {Tight {QAP} bounds vias linear programming},
booktitle = {From local to global optimization},
editor = {A. Migdalas and P. M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1998},
note = {To appear},
URL = {http://www.research.att.com/~mgcr/doc/qaplp3rd.ps.Z}
}
@incollection{ResPitPar96,
author = {M.G.C. Resende and L.S. Pitsoulis and P.M. Pardalos},
title = {Approximate solution of weighted {MAX-SAT} problems using
{GRASP}},
booktitle = {Satisfiability Problem: Theory and Applications},
editor = {J. Gu and P.M. Pardalos},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
year = {1997},
pages = {393--405},
URL = {http://www.research.att.com/~mgcr/doc/gmaxsat.ps.Z}
}
@article{ParPitRes96,
author = {P. M. Pardalos and L. S. Pitsoulis and M. G. C. Resende},
title = {{A parallel GRASP for MAX-SAT problems}},
journal = {Lecture Notes in Computer Science},
volume = {1180},
pages = {575--585},
year = {1996},
URL = {http://www.research.att.com/~mgcr/doc/gpmaxsat.ps.Z}
}
@article{ResFeoSmi98,
author = {M. G. C. Resende and T. A. Feo and S. H. Smith},
title = {{Algorithm 786: FORTRAN subroutines for approximate solution
of maximum independent set problems using GRASP}},
journal = {ACM Transactions on Mathematical Software},
volume = {24},
number = {4},
pages = {386--394},
year = {1998},
URL = {http://www.research.att.com/~mgcr/doc/gmissubr.ps.Z}
}
@article{ParQiaRes98,
author = {P.M. Pardalos and T. Qian and
M.G.C. Resende},
title = {A greedy randomized adaptive search procedure for the
feedback vertex set problem},
journal = {Journal of Combinatorial Optimization},
year = {1998},
volume = {2},
number = {3},
note = {To appear},
URL = {http://www.research.att.com/~mgcr/doc/gfvs.ps.Z}
}
@article{RibRes98,
author = {C. C. Ribeiro and M. G. C. Resende},
title = {{FORTRAN subroutines for approximate solution of graph
planarization problems using GRASP}},
journal = {ACM Transactions on Mathematical Software},
note = {To appear},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/planarsubr.ps.Z}
}
@techreport{FosLeeResRes97,
author = {L. Fossett and D. N. Lee and L. I. P. Resende and
M. G. C. Resende},
title = {{A multicomodity flow approach to global facility planning}},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@techreport{Res97,
author = {M. G. C. Resende},
title = {{PoP placement to maximize coverage}},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@article{Res98,
author = {M. G. C. Resende},
title = {{Computing approximate solutions of the maximum covering
problem using GRASP}},
journal = {Journal of Heuristics},
volume = {4},
year = {1998},
URL = {http://www.research.att.com/~mgcr/doc/gmcov.ps.Z},
pages = {161--171}
}
@techreport{CacEtAl97,
author = {Caceres, R. and Cary-Brown, E. and Drucker, H. and
Duffield, N. and Eckberg, T. and Feldmann, A. and
Greer, R. and Friedmann, J. and Greenberg, A. and
Jagadish, H.V. and Lavelle, D. and Johnson, T. and
Mishra, P. and Mocenigo, J. and Ramakrishnan, K.K. and
Rao, B. and Resende, M.G.C. and Rexford, J. and
Sorensen, C.},
title = {{WINGS: WorldNet Information Gargantuan Store}},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@techreport{ResUlu97,
author = {M. G. C. Resende and O. Ulular},
title = {{SMART}: {A} tool for {AT\&T} {W}orld{N}et access design~--
{C}ascade 9000 {C}oncentrators},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@techreport{ResRes97,
author = {L. I. P. Resende and M. G. C. Resende},
title = {A {GRASP} for frame relay {PVC} routing},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@inproceedings{PorResVeiJud97,
author = {L.F. Portugal and M.G.C. Resende and G. Veiga and
J.J. J\'udice},
title = {A truncated interior point method for the solution of
minimum cost flow problems on an undirected multicommodity
flow network},
booktitle = {Proceedings of {F}irst {P}ortuguese {N}ational
{T}elecommunications {C}onference},
year = {1997},
month = {April}
}
@incollection{MitParRes98,
author = {J. E. Mitchell and P. M. Pardalos and M. G. C. Resende},
title = {Interior point algorithms for combinatorial optimization},
booktitle = {Handbook of combinatorial optimization},
editor = {D.-Z. Du and P. M. Pardalos},
publisher = {Kluwer Academic Publishers},
volume = {1},
year = {1998},
pages = {189--298},
URL = {http://www.research.att.com/~mgcr/doc/ipmsuv.ps.Z}
}
@inproceedings{AbeParRes98a,
author = {J. Abello and P.M. Pardalos and M.G.C. Resende},
title = {On very large maximum clique problems},
booktitle = {Proceedings of Algorithms and Experiments ({ALEX98})},
editor = {R. Battiti and A. Bertossi},
pages = {175--183},
year = {1998},
URL = {http://www.research.att.com/~mgcr/doc/alex98.ps.Z} }
@incollection{ParRapRes98,
author = {P.M. Pardalos and J. Rappe and M.G.C. Resende},
title = {An exact parallel algorithm for the maximum clique problem},
booktitle = {High performance algorithms and software in
nonlinear optimization},
editor = {R. de~Leone and A. Murli and P.M. Pardalos and G. Toraldo},
publisher = {Kluwer Academic Publishers},
year = {1998},
pages = {279--300},
URL = {http://www.research.att.com/~mgcr/doc/parclq.ps.Z}
}
@article{ResPitPar98,
author = {M.G.C. Resende and L.S. Pitsoulis and P.M. Pardalos},
title = {{FORTRAN subroutines for computing approximate solutions
of weighted MAX-SAT problems using GRASP}},
journal = {Discrete Applied Mathematics},
year = {1999},
note = {To appear},
URL = {http://www.research.att.com/~mgcr/doc/gmsatsub.ps.Z}
}
@incollection{MarParResRib98a,
author = {S.L. Martins and P.M. Pardalos and M.G.C. Resende and
C.C. Ribeiro},
title = {Greedy randomized adaptive search procedures for the
{S}teiner problem in graphs},
booktitle = {Randomization methods in algorithm design},
editor = {P.M. Pardalos and S. Rajasekaran},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
volume = {43},
year = {1998},
pages = {133--145},
URL = {http://www.research.att.com/~mgcr/doc/gspg.ps.Z}
}
@article {MR1954024,
AUTHOR = {J{\'U}DICE, J.J. and PATRICIO, J. and PORTUGAL,
L.F. and RESENDE, M.G.C. and VEIGA, G.},
TITLE = {A study of preconditioners for network interior point
methods},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {24},
YEAR = {2003},
NUMBER = {1},
PAGES = {5--35},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C51 (90B10)},
MRNUMBER = {1 954 024},
}
@article{PorResVeiJud94,
author = {L.F. Portugal and M.G.C. Resende and G. Veiga and
J.J. J\'udice},
title = {A truncated primal-infeasible dual-feasible
interior point network flow method},
journal = {Networks},
year = {To appear},
URL = {http://www.research.att.com/~mgcr/doc/pdnet.ps.Z}
}
@incollection{RibRes98a,
author = {C.C. Ribeiro and M.G.C. Resende},
title = {Graph planarization},
booktitle = {Encyclopedia of Optimization},
editor = {C. Floudas and P.M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/splanar.ps.Z},
note = {To appear}
}
@incollection{MurParRes98a,
author = {R.A. Murphey and P.M. Pardalos and M.G.C. Resende},
title = {Frequency assignment problems},
booktitle = {Handbook of combinatorial optimization},
editor = {D.-Z. Du and P. M. Pardalos},
publisher = {Kluwer Academic Publishers},
volume = {3},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/sfap.ps.Z},
note = {To appear}
}
@incollection{AbeParRes98b,
author = {J. Abello and P.M. Pardalos and M.G.C. Resende},
title = {On maximum clique problems in very large graphs},
booktitle = {External memory algorithms and visualization},
editor = {J. Abello and J. Vitter},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/vlclq.ps.Z},
note = {To appear}
}
@incollection{Res98b,
author = {M.G.C. Resende},
title = {Greedy randomized adaptive search procedures ({GRASP})},
booktitle = {Encyclopedia of Optimization},
editor = {C. Floudas and P.M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/sgrasp.ps.Z},
note = {To appear}
}
@incollection{FesParRes99,
author = {P. Festa and P.M. Pardalos and M.G.C. Resende},
title = {Feedback set problems},
booktitle = {Handbook of combinatorial optimization},
editor = {D.-Z. Du and P. M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/sfsp.ps},
note = {To appear}
}
.setcover.bib 0000600 0010230 0000457 00000016667 12346654604 013046 0 ustar hwolkowi none # This file contains bib entries related to set covering problems
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/setcover.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#
@article {ArFeStTe:69,
author = "J. ARABEYRE and J. FEARNLEY and F. STEIGER and
W. TEATHER",
title = "The airline crew scheduling problem: a survey",
journal = "Transportation Science",
year = "1969",
volume = "2",
pages = "140-163"}
@article {BaFi:81,
author = "E. BAKER and M. FISHER",
title = "Computational results for very large air crew
scheduling problems",
journal = "OMEGA",
year = "1981",
volume = "9(6)",
pages = "613-618"}
@article {Bal:77,
author = "E. BALAS",
title = "Some Valid Inequalities for the Set Partitioning
Problems",
journal = "Annals of Discrete Mathematics",
year = "1977",
volume = "1",
pages = "13-47"}
@article {BalPad:76,
author = "E. BALAS and M.W. PADBERG",
title = "Set Partitioning: A Survey",
journal = "SIAM Review",
year = "1976",
volume = "18",
pages = "710-760"}
@article {BarHul:90,
author = "J. BARUTT and T. HULL",
title = "Airline crew scheduling: aupercomputers and
algorithms",
journal = "SIAM News",
year = "1990",
volume = "23(6)" }
@TECHREPORT {ChuBea:95,
author = "P. C. CHU and J. E. BEASLEY",
title = "A Genetic Algorithm for the Set Partitioning
Problem",
INSTITUTION = "Imperial College",
YEAR = "1995",
note = "URL: http://mscmga.ms.ic.ac.uk/pchu/pchu.html",
ADDRESS = "The Management School, London, England" }
@ARTICLE {ChaYan:92,
author = "T. J. CHAN and C. A. YANO",
title = "A Multiplier Adjustment Approach for the Set
Partitioning
Problem",
journal = "Operations Research",
year = "1992",
volume = "40",
pages = "S40-S47"}
@phdthesis{pchin:95,
author="PAULINA CHIN",
title="Iterative Algorithm for Solving Linear Programming from
Engineering
Applications",
school="University of Waterloo",
year="1995"
}
@ARTICLE {ColPot:86,
author = "T.F. COLEMAN and A. POTHEN",
title = "The null space problem 1. complexity",
journal = "SIAM J. ALG. DISC. METH.",
year = "1986",
volume = "7",
pages = "527-537"}
@ARTICLE{FisKed:90,
AUTHOR = "M. L. FISHER and P. KEDIA",
TITLE = "Optimal Solution of Set Covering/Partitioning Problems
Using Dual Heuristics",
JOURNAL = ms,
VOLUME = 36,
YEAR = 1990,
PAGES = "674-688"
}
@article {GarNem:69,
author = "R.S. GARFINKEL and G.L. NEMHAUSER",
title = "The Set Partitioning Problem: Set Covering with
Equality Constraints",
journal = "Operations Research",
year = "1969",
volume = "17",
pages = "848-856"}
@ARTICLE {Ger:89,
author = "I. GERSHKOFF",
title ="Optimizaing flight crew schedules",
journal = "Interfaces",
volume = "19",
pages = "29-43",
year = "1989" }
@TECHREPORT {GroWoo:95,
author = "T. GROSSMAN and A. WOOL",
title = "Computational experience with approximation
algorithms for the set covering problem",
INSTITUTION = "Weizmann Institute",
YEAR = "1995",
note = "URL: http://www.wisdom.weizmann.ac.il/people/homepages/yash/home.html",
ADDRESS = "Dept. of Appl. Math. and C.S." }
%HHHHHHHHHHHHHHHHHHHHHHHHHHHH
@ARTICLE {HaBaJoMaNeSi:95,
author = "C.A. HANE and C. BARNHART and E.L. JOHNSON and
R.E. MARSTEN and G.L. NEMHAUSER and G. SIGISMONDI ",
title ="The fleet assignment problem: solving a
large-scale integer program",
journal = mprog,
volume = "70",
pages = "211-232",
year = "1995" }
@ARTICLE {HarTho:94,
author = "F. HARCHE and G.L. THOMPSON",
title ="The column subtraction algorithm: an exact method
for solving weighted set covering, packing and partitioning problems",
journal = "Computers \& operations Research",
volume = "21(6)",
pages = "689-705",
year = "1994" }
@ARTICLE {HofPad:92,
author = "K. L. HOFFMAN and M. PADBERG",
title ="Solving Large Set-Partitioning Problems with Side
Constraints",
journal = "ORSA/TIMS Joint National Meeting, San Francisco",
year = "November 2-4, 1992"}
@ARTICLE {HofPad:93,
author = "K. L. HOFFMAN and M. PADBERG",
title ="Solving airline crew-scheduling problems by
branch-and-cut",
journal = ms,
pages = "657-682",
volume = "6",
year = " 1993"}
@article {Mar:74,
author = "R.E. MARSTEN",
title = "An Algorithm for Large Set Partitioning Problems",
journal = ms,
year = "1974",
volume = "20",
pages = "774-787"}
@ARTICLE {NemWeb:79,
author = "G.L. NEMHAUSER and G. M. WEBER",
title = "Optimal Set Partitioning, Matchings and Lagrangean
Duality",
journal = "Naval Research Logistics Quarterly",
year = "1979",
volume = "26",
pages = "553-563"}
@ARTICLE {RyaFal:88,
author = "D.M. RYAN and J.C. FALKNER",
title = "On the integer properties of scheduling and set
partitioning models",
journal = "European Journal of Operational Research",
year = "1988",
volume = "35",
pages = "422-456"}
@TECHREPORT {SheLee:95,
author = "H.D. SHERALI and Y. LEE",
title = "Tighter representations for set
partitioning problems",
INSTITUTION = "Virginia Polytechnic Institute",
YEAR = "1995",
note = "URL: http://www.ise.vt.edu/ise/staff/listing/sherali.hanif.html",
ADDRESS = "Dept. of Ind. and Sys. Eng." }
@unpublished{wol:62,
author="P. WOLFE",
title="The reduced gradient method",
institution = "the RAND Corporation",
year = "1962",
note="Unpublished manuscript"
}
.sqp.bib 0000600 0010230 0000457 00000012615 12346654604 012004 0 ustar hwolkowi none # This file contains sequential quadratic programming bib entries
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/sqp.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
%AAAAAAAAAAAA
%BBBBBBBBBBBBBBBBBBBBBBBBBB
@TECHREPORT {ByrHriNoc:97,
author = "R.H. BYRD and M.B. HRIBAR and R.H. Nocedal",
title = "An Interior Point Algorithm for Large Scale
Nonlinear Programming",
institution = "Optimization Technology
Center, Northwestern University",
number = "Report OTC 97/02",
year = "1997",
address = "Evanston Il 60208"}
%FFFFFFFFFFFFFFFFFFFFFFFFFFff
@TECHREPORT {Fischer:97,
author = "A. FISCHER",
title = "Modified {W}ilson method for nonlinear programs
with nonunique multipliers",
institution = "Institute of Numerical Mathematics,
Technical University of Dresden",
year = "1997",
address = "Dresden, Germany"}
@TECHREPORT {FletLeyf:97,
author = "R. FLETCHER and S. LEYFFER",
title = "
NONLINEAR PROGRAMMING WITHOUT A PENALTY FUNCTION",
institution = "Department of Mathematics \& Computer
Science, University of Dundee",
year = "1997",
address = "Dundee, Scotland"}
@article {MR97g:65084,
AUTHOR = {FORSGREN, A.},
TITLE = {On linear least-squares problems with diagonally dominant
weight matrices},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {17},
YEAR = {1996},
NUMBER = {4},
PAGES = {763--788},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F20 (65F35 65K05)},
MRNUMBER = {97g:65084},
}
%GGGGGGGGGGGGGGGGGGGGGGGGGGGGG
@TECHREPORT {GillMurSaun:97,
author = "P. E. GILL, W. MURRAY and M. A. SAUNDERS",
title = "{SNOPT}: AN {SQP} ALGORITHM FOR LARGE-SCALE
CONSTRAINED OPTIMIZATION",
institution = "Department of Mathematics, UC San Diego",
year = "1997"}
@phdthesis{goldsmith:99,
author = "M.J. GOLDSMITH",
year = 1999,
title = "Sequential Quadratic Programming Methods Based on Indefinite
{H}essian Approximations",
school = "Department of Operations Research,
Stanford University, California",
URL= "http://keywest.stanford.edu/\~{ }mgold/abstract.html"
}
@TECHREPORT {LinMore:97,
author = "C. LIN and J. J. MOR\'{E}",
title = "Incomplete Cholesky Factorizations with Limited
Memory",
institution = "Mathematics and Computer Science Division,
Argonne National Laboratory",
year = "1997"}
@article {MR91c:90104,
AUTHOR = {SHANNO, D.F. and PHUA, K.H.},
TITLE = {Numerical experience with sequential quadratic programming
algorithms for equality constrained nonlinear programming},
JOURNAL = {ACM Trans. Math. Software},
FJOURNAL = {Association for Computing Machinery. Transactions on
Mathematical Software},
VOLUME = {15},
YEAR = {1989},
NUMBER = {1},
PAGES = {49--63},
ISSN = {0098-3500},
CODEN = {ACMSCU},
}
.strings.bib 0000600 0010230 0000457 00000032543 12346654604 012674 0 ustar hwolkowi none # This file contains miscellaneous (mathematical) bib entries
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### I will also include these in the dedicated file .strings.bib
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
####
#### The string definitions are in this file .master.bib
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/master.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
###################################
###################################
###################################
####string definitions start - always in .master.bib file first.
#### i.e. changes are made in this file and copied to .strings.bib
#############
#############
########### definitions from Sturm start here
#### definitions are put at start - others follow below.
@STRING{ SV = "Springer-Verlag" }
@STRING{ MGH = "Mc{G}raw-Hill" }
@STRING{ W = "Wiley" }
@STRING{ JW = "John Wiley" }
@STRING{ WI = "Wiley-Interscience" }
@STRING{ PH = "Prentice-Hall" }
@STRING{ AW = "Addison-Wesley" }
@STRING{ PUP = "Princeton University Press" }
@STRING{ AP = "Academic Press" }
@STRING{ CUP = "Cambridge University Press" }
@STRING{ OUP = "Oxford University Press" }
@STRING{ ESP = "Elsevier Science Publisher B.V." }
@STRING{ KAP = "Kluwer Adademic Publishers" }
@STRING{ NY = "New York" }
@STRING{ B = "Berlin" }
@STRING{ NJ = "New Jersey" }
@STRING{ NH = "North-Holland" }
@STRING{ EIEUR = "Econometric Institute, Erasmus University Rotterdam" }
@STRING{ ROT = "Rotterdam, The Netherlands" }
@STRING{ S = "STURM, J.F."}
@STRING{ SZ = "STURM, J.F. and Zhang, S."}
@STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and ZHANG, S."}
@STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
#############################################
# The following is from V. Balakrishnan on SDP and systems control
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
#############################################
@string{
ijrnc=
{Int.\ J.\ Robust and Nonlinear Control}
}
@string{
acc=
{Proc.\ American Control Conf.}
}
@string{
aut=
{Automatica}
}
@string{
tcst=
{IEEE Trans.\ Control Sys.\ Tech.}
}
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{
ieep=
{IEE Proc.}
}
#############################################
#############################################
##from Bertsimis
#############################################
@string{ICTA = {IEE Proc. -Control Theory Appl.}}
@String{IROS="IEEE Int. Conf. on Intelligent Robot Systems"}
@String{ICRA="Proc. IEEE Int. Conf. on Robotics and Automation"}
@String{IJRR = {Int. J. of Robot. Res.}}
@String{ITSMC ={IEEE Trans. Syst., Man, Cybern.}}
@String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals -
#### changed in master.bib first
@string{toms = "ACM Transactions on Mathematical Software"}
@STRING{aer = "American Economic Review"}
@STRING{ajae = "Americal Journal of Agricultural Economics"}
@STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."}
@STRING{AMERlong = "The American Statistician"}
@STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"}
@string{adm = "Ann. Discrete Math."}
@string{ADMlong = "Annals of Discrete Mathematics"}
@STRING{ams = "Annals of Mathematical Statistics"}
@STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."}
@STRING{ APNUMlong = "Applied Numerical Mathematics"}
@string{bell = "The Bell System Technical Journal"}
@string{ coap = "Comput. Optim. Appl."}
@string{ coa = "Comput. Optim. Appl."}
@string{ COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"}
@string{cacm = "Communications of the ACM"}
@STRING{ cor = "Comput. Oper. Res." }
@STRING{ CORlong = "Computer and Operations Research" }
@string{comp = "Computing"}
STRING{ CRAS = "Compt Rend Acad. Sci." }
@STRING{ CM = "Contemporary Mathematics" }
@STRING{ C = "Cybernetics" }
@STRING{cmj = "Czechoslovak Math. J."}
@STRING{dam = "Discrete Applied Mathematics"}
@STRING{dm = "Discrete Mathematics"}
@STRING{ ECPE = "Eng. Costs and Prod. Econ." }
@string{electjc = "Electronic J. Combinatorics"}
@STRING{ejc = "European Journal of Combinatorics"}
@STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@string{jogo = "J. Global Optim."}
@string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"}
@STRING{ IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"}
@string{ijnme = "International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"}
@STRING{ JAMS = "J. Australian Math. Soc."}
@STRING{ JAMSlong = "J. of the Australian Mathematical Society"}
@string{ JCAM = {J. of Comput. Appl. Mathem.}}
@string{ JCAMlong = {J. of Computational and Applied Mathematics}}
@STRING{jacm = "J. Assoc. Comput. Mach."}
@STRING{JACMlong = "Journal of the Association of Computing Machinery"}
@string{jco = "J. Comb. Optim."}
@string{JCOlong = "Journal of Combinatorial Optimization"}
@STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"}
@STRING{joflong= "Journal of Finance"}
@STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and Applications"}
@STRING{ JORS = "J. Oper. Res. Soc." }
@STRING{ JRAM = "J. f{\"u}r die reine und angewandte {M}athematik"}
@STRING{ JRC = "J. of Regional Science" }
@string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and Applications"}
@STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of Standards"}
@STRING{jrssa = "Journal of the Royal Statistical Society: Series~A"}
@string{laa = "Linear Algebra Appl."}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"}
@STRING{ms = "Management Sci."}
@STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" }
@string{mcomp = "Math. Comp."}
@string{MCOMPlong = "Mathematics of Computation"}
@STRING{ MP = "Math. Programming" }
@string{mprog = "Math. Programming"}
@STRING{MPROGlong = "Mathematical Programming"}
@STRING{mp = "Math. Programming"}
@string{MPlong = {Mathematical Programming}}
@STRING{mpa = "Math. Programming, Series A"}
@STRING{mps = "Math. Programming Studies"}
@STRING{mpb = "Math. Programming, Series B"}
@STRING{ MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."}
@STRING{ MORlong = "Mathematics of Operations Research" }
@STRING{mathz = "Math. Z."}
@STRING{ nrlq = "Naval Res. Logist. Quart." }
@STRING{ NRLQlong = "Naval Research Logistics Quarterly" }
@STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"}
@STRING{ OPTI = "Optimization" }
@string{ oms = "Optim. Methods Softw."}
@string{ OPSlong = "Optimization Methods and Software"}
@string{ornl = "Oak Ridge National Laboratory"}
@STRING{orl = "Operations Research Letters"}
@STRING{or = "Operations Research"}
@STRING{jorlong = "Journal of the Operations Research Society"}
@STRING{jor = "Oper. Res."}
@STRING{jors = "Oper. Res."}
@STRING{ ORQ = "Operations Research Quarterly" }
@STRING{pjm = "Pacific Journal of Mathematics"}
@string{pc = "Parallel Computing"}
@STRING{pams = "Proceedings of the American Mathematical Society"}
@STRING{rsue = "Regional Science and Urban Economics"}
@STRING{restud = "Review of Economics Studies"}
@STRING{ SIAM = "SIAM" }
@string{sijam = "SIAM J. Appl. Math."}
@string{SIJAMlong = "SIAM J. ON Applied Mathematics"}
@STRING{siad = "SIAM J. Algebraic Discrete Methods"}
@STRING{SIADlong = "SIAM Journal on Algebraic and Discrete Methods"}
@string{sdma = "SIAM J. Discrete Math."}
@string{SDMAlong = "SIAM Journal on Discrete Mathematics"}
@string{SIAGOPT = "SIAG/OPT Views-and-News"}
@STRING{ SRev = "SIAM Review" }
@STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." }
@STRING{ SJMA = "SIAM J. Math. Anal." }
@string{SJMAA = "SIAM J. Matrix Anal. Appl."}
@STRING{sijc = "SIAM J. on Computing"}
@STRING{SIJClong = "SIAM Journal on Computing"}
@string{sico = "SIAM J. Control Optim."}
@string{SICOlong = "SIAM J. on Control and Optimization"}
@string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and Applications"}
@string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."}
@STRING{SJNAlong = "SIAM J. on Numerical Analysis"}
@string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical Computing"}
@string{sir = "SIAM Review"}
### start strings from Goemans
@string{stoc95 = "Proc. of the 27th {ACM} Symp. on
Theory Comput."}
@string{stoc97 = "Proc. of the 29th {ACM} Symp. on
Theory Comput."}
@string{stoc98 = "Proc. of the 30th {ACM} Symp. on
Theory Comput."}
@string{stoc99 = "Proc. of the 31st {ACM} Symp. on
Theory Comput."}
@string{focs97 = "Proc. 38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on
Disc. Algs."}
### end strings from Goemans
@STRING{tr = "Transportation Research"}
@STRING{ts = "Transportation Science"}
@STRING{tams = "Transactions of the American Mathematical Society"}
@STRING{ TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."}
@STRING{UTILMATHlong = "Utilitas Mathematica"}
########################end of string definitions#########
.years9096publs.bib 0000600 0010230 0010230 00000033322 12346654604 015147 0 ustar hwolkowi hwolkowicz # This file contains personal publication bib entries (including
## student theses.
## The bib entries were taken from MathSci - FEb/12
## and deal with only years 1990-95
@article {MR1387330,
AUTHOR = {Helmberg, Christoph and Rendl, Franz and Vanderbei, Robert J.
and Wolkowicz, Henry},
TITLE = {An interior-point method for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {1387330 (97f:90086)},
MRREVIEWER = {Tam{\'a}s Terlaky},
DOI = {10.1137/0806020},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0806020},
}
@article {MR1375607,
AUTHOR = {Wolkowicz, Henry},
TITLE = {Explicit solutions for interval semidefinite linear programs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {236},
YEAR = {1996},
PAGES = {95--104},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C26 (65G10 90C08)},
MRNUMBER = {1375607 (96m:90058)},
MRREVIEWER = {Florian Jarre},
DOI = {10.1016/0024-3795(94)00130-8},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(94)00130-8},
}
@incollection {MR1367976,
AUTHOR = {Helmberg, C. and Poljak, S. and Rendl, F. and Wolkowicz, H.},
TITLE = {Combining semidefinite and polyhedral relaxations for integer
programs},
BOOKTITLE = {Integer programming and combinatorial optimization
({C}openhagen, 1995)},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {920},
PAGES = {124--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {1367976},
}
@article {MR1354768,
AUTHOR = {Poljak, Svatopluk and Wolkowicz, Henry},
TITLE = {Convex relaxations of {$(0,1)$}-quadratic programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {20},
YEAR = {1995},
NUMBER = {3},
PAGES = {550--561},
ISSN = {0364-765X},
MRCLASS = {90C09 (90C20)},
MRNUMBER = {1354768 (97b:90078)},
DOI = {10.1287/moor.20.3.550},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.20.3.550},
}
@article {MR1349612,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {A projection technique for partitioning the nodes of a graph},
NOTE = {Applied mathematical programming and modeling, II (APMOD 93)
(Budapest, 1993)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {58},
YEAR = {1995},
PAGES = {155--179},
ISSN = {0254-5330},
MRCLASS = {90C35 (05C99)},
MRNUMBER = {1349612 (96g:90096)},
MRREVIEWER = {Xueliang Li},
DOI = {10.1007/BF02032130},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF02032130},
}
@article {MR1342935,
AUTHOR = {Poljak, S. and Rendl, F. and Wolkowicz, H.},
TITLE = {A recipe for semidefinite relaxation for {$(0,1)$}-quadratic
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {51--73},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C09 (90C27)},
MRNUMBER = {1342935 (96d:90053)},
MRREVIEWER = {Paulo Barcia},
DOI = {10.1007/BF01100205},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01100205},
}
@article {MR1330199,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {Indefinite trust region subproblems and nonsymmetric
eigenvalue perturbations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {2},
PAGES = {286--313},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C20 (65F15 65K05)},
MRNUMBER = {1330199 (96h:90077)},
MRREVIEWER = {Panos M. Pardalos},
DOI = {10.1137/0805016},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0805016},
}
@article {MR1315710,
AUTHOR = {Wolkowicz, Henry and Zhao, Qing},
TITLE = {An all-inclusive efficient region of updates for least change
secant methods},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {1},
PAGES = {172--191},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {1315710 (95k:90096)},
MRREVIEWER = {Bernd Luderer},
DOI = {10.1137/0805009},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0805009},
}
@article {MR1304626,
AUTHOR = {Wolkowicz, Henry},
TITLE = {Measures for symmetric rank-one updates},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {19},
YEAR = {1994},
NUMBER = {4},
PAGES = {815--830},
ISSN = {0364-765X},
MRCLASS = {90C30 (65F05 65K05)},
MRNUMBER = {1304626 (95h:90143)},
DOI = {10.1287/moor.19.4.815},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.19.4.815},
}
@article {MR1297064,
AUTHOR = {Falkner, Julie and Rendl, Franz and Wolkowicz, Henry},
TITLE = {A computational study of graph partitioning},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {211--239},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
MRNUMBER = {1297064 (95h:90153)},
MRREVIEWER = {Yixun Lin},
DOI = {10.1007/BF01581147},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01581147},
}
@incollection {MR1290354,
AUTHOR = {Karisch, Stefan E. and Rendl, Franz and Wolkowicz, Henry},
TITLE = {Trust regions and relaxations for the quadratic assignment
problem},
BOOKTITLE = {Quadratic assignment and related problems ({N}ew {B}runswick,
{NJ}, 1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {16},
PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {1290354 (95j:90053)},
MRREVIEWER = {Igor Litvinchev},
}
@incollection {MR1290345,
AUTHOR = {Pardalos, Panos M. and Rendl, Franz and Wolkowicz, Henry},
TITLE = {The quadratic assignment problem: a survey and recent
developments},
BOOKTITLE = {Quadratic assignment and related problems ({N}ew {B}runswick,
{NJ}, 1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {16},
PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90B80 (90C10 90C27)},
MRNUMBER = {1290345 (95f:90040)},
MRREVIEWER = {Horst W. Hamacher},
}
@article {MR1282693,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {Trust region problems and nonsymmetric eigenvalue
perturbations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {15},
YEAR = {1994},
NUMBER = {3},
PAGES = {755--778},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A18 (15A42 49R05)},
MRNUMBER = {1282693 (95f:15009)},
MRREVIEWER = {Gerd M. Krause},
DOI = {10.1137/S0895479891199719},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/S0895479891199719},
}
@article {MR1239822,
AUTHOR = {Dennis, Jr., J. E. and Wolkowicz, H.},
TITLE = {Sizing and least-change secant methods},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {30},
YEAR = {1993},
NUMBER = {5},
PAGES = {1291--1314},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {90C30 (49M37 65K05)},
MRNUMBER = {1239822 (94g:90107)},
DOI = {10.1137/0730067},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0730067},
}
@article {MR1553028,
AUTHOR = {Wolkowicz, Henry},
TITLE = {Preface},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {1, Ser. B},
PAGES = {vii--ix},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {Contributed Item},
MRNUMBER = {1553028},
DOI = {10.1007/BF01581070},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01581070},
}
@article {MR1177733,
AUTHOR = {Hadley, S. W. and Rendl, F. and Wolkowicz, H.},
TITLE = {A new lower bound via projection for the quadratic assignment
problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {17},
YEAR = {1992},
NUMBER = {3},
PAGES = {727--739},
ISSN = {0364-765X},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {1177733 (93i:90080)},
MRREVIEWER = {M. C. Puri},
DOI = {10.1287/moor.17.3.727},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.17.3.727},
}
@article {MR1167408,
AUTHOR = {Jeyakumar, V. and Wolkowicz, Henry},
TITLE = {Generalizations of {S}later's constraint qualification for
infinite convex programs},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {1, Ser. B},
PAGES = {85--101},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48 (49N15 90C25)},
MRNUMBER = {1167408 (93e:90070)},
MRREVIEWER = {Doug Ward},
DOI = {10.1007/BF01581074},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01581074},
}
@article {MR1155441,
AUTHOR = {Hadley, S. W. and Rendl, F. and Wolkowicz, H.},
TITLE = {Symmetrization of nonsymmetric quadratic assignment problems
and the {H}offman-{W}ielandt inequality},
NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {167},
YEAR = {1992},
PAGES = {53--64},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (15A42 90B80)},
MRNUMBER = {1155441 (93d:90050)},
MRREVIEWER = {Rainer Burkard},
DOI = {10.1016/0024-3795(92)90338-B},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(92)90338-B},
}
@article {MR1151765,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {Applications of parametric programming and eigenvalue
maximization to the quadratic assignment problem},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {53},
YEAR = {1992},
NUMBER = {1, Ser. A},
PAGES = {63--78},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (90C20 90C30)},
MRNUMBER = {1151765 (93c:90098)},
MRREVIEWER = {M. C. Puri},
DOI = {10.1007/BF01585694},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01585694},
}
@inproceedings {MR1102058,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {Invariant ellipsoidal cones},
BOOKTITLE = {Proceedings of the {F}irst {C}onference of the {I}nternational
{L}inear {A}lgebra {S}ociety ({P}rovo, {UT}, 1989)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {150},
YEAR = {1991},
PAGES = {81--106},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {1102058 (92h:15014)},
MRREVIEWER = {Raphael Loewy},
DOI = {10.1016/0024-3795(91)90161-O},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(91)90161-O},
}
@article {MR1088661,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {A note on generalized invariant cones and the {K}ronecker
canonical form},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {147},
YEAR = {1991},
PAGES = {97--100},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A18 15A48)},
MRNUMBER = {1088661 (92e:15018)},
DOI = {10.1016/0024-3795(91)90231-K},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(91)90231-K},
}
@article {MR1082333,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {Exponential nonnegativity on the ice cream cone},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {12},
YEAR = {1991},
NUMBER = {1},
PAGES = {160--165},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A48},
MRNUMBER = {1082333 (92j:15013)},
MRREVIEWER = {Raphael Loewy},
DOI = {10.1137/0612012},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0612012},
}
@article {MR1080267,
AUTHOR = {Jeyakumar, V. and Wolkowicz, H.},
TITLE = {Zero duality gaps in infinite-dimensional programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {67},
YEAR = {1990},
NUMBER = {1},
PAGES = {87--108},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49N15 (90C48)},
MRNUMBER = {1080267 (92a:49062)},
MRREVIEWER = {R. N. Kaul},
DOI = {10.1007/BF00939737},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF00939737},
}
.haesol.bib 0000640 0010230 0010230 00000157007 14375233156 013713 0 ustar hwolkowi hwolkowicz %%% The below are used to include references for AAAI
@article{LeeJayYoon2019GIfN,
pages = {4147-4154},
author = {Lee, Jay Yoon and Mehta, Sanket Vaibhav and Wick, Michael and Tristan, Jean-Baptiste and Carbonell, Jaime},
issn = {2159-5399},
journal = {Proceedings of the ... AAAI Conference on Artificial Intelligence},
language = {eng},
volume = {33},
year = {2019},
title = {Gradient-Based Inference for Networks with Output Constraints},
}
@article{ZhitingHu2020HDNN,
publisher = {Cornell University Library, arXiv.org},
author = {Zhiting Hu and Xuezhe Ma and Zhengzhong Liu and Eduard Hovy and Eric Xing},
address = {Ithaca},
booktitle = {arXiv.org},
copyright = {2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.},
issn = {2331-8422},
journal = {arXiv.org},
keywords = {Data mining ; Distillation ; Iterative methods ; Joint ventures ; Logic ; Neural networks},
language = {eng},
year = {2020},
title = {Harnessing Deep Neural Networks with Logic Rules},
}
%%% The below are for the thesis.
@article {MR3420805,
AUTHOR = {Eckstein, J. and Yao, W.},
TITLE = {Understanding the convergence of the alternating direction
method of multipliers: theoretical and computational
perspectives},
JOURNAL = {Pac. J. Optim.},
FJOURNAL = {Pacific Journal of Optimization. An International Journal},
VOLUME = {11},
YEAR = {2015},
NUMBER = {4},
PAGES = {619--644},
ISSN = {1348-9151},
MRCLASS = {90C25 (49M37 90C06)},
MRNUMBER = {3420805},
MRREVIEWER = {Wim van Ackooij},
}
@article{FreunndToddAlwaysActive,
author = {Freund, R. and Roundy, R. and Todd, M.},
year = {1985},
month = {02},
pages = {},
title = {Identifying the set of always-active constraints in a system of linear inequalities by a single linear program}
}
@article {MR718053,
AUTHOR = {Telgen, J.},
TITLE = {Identifying redundant constraints and implicit equalities in
systems of linear constraints},
JOURNAL = {Management Sci.},
FJOURNAL = {Management Science. Journal of the Institute of Management
Science. Application and Theory Series},
VOLUME = {29},
YEAR = {1983},
NUMBER = {10},
PAGES = {1209--1222},
ISSN = {0025-1909},
MRCLASS = {90C05},
MRNUMBER = {718053},
DOI = {10.1287/mnsc.29.10.1209},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/mnsc.29.10.1209},
}
@article {MR1716685,
AUTHOR = {V.V. Kovacevic-Vujcic and A.D. Miroslav},
TITLE = {Stabilization of interior-point methods for linear
programming},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {14},
YEAR = {1999},
NUMBER = {3},
PAGES = {331--346},
ISSN = {0926-6003},
MRCLASS = {90C05 (65F10)},
MRNUMBER = {1716685},
MRREVIEWER = {Shu Zhong Zhang},
DOI = {10.1023/A:1026452506999},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1023/A:1026452506999},
}
@article{DBLP:journals/corr/abs-2108-04734,
author = {Lee, Y.T. and Vempala, S.S.},
title = {Tutorial on the Robust Interior Point Method},
journal = {CoRR},
volume = {abs/2108.04734},
year = {2021},
url = {https://arxiv.org/abs/2108.04734},
eprinttype = {arXiv},
eprint = {2108.04734},
timestamp = {Wed, 11 Aug 2021 15:24:08 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2108-04734.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@misc{https://doi.org/10.48550/arxiv.2202.08380,
doi = {10.48550/ARXIV.2202.08380},
url = {https://arxiv.org/abs/2202.08380},
author = {Leditzky, F. and Leung, D. and Siddhu, V. and Smith, G. and Smolin, J.A.},
keywords = {Quantum Physics (quant-ph), Information Theory (cs.IT), FOS: Physical sciences, FOS: Physical sciences, FOS: Computer and information sciences, FOS: Computer and information sciences},
title = {The platypus of the quantum channel zoo},
publisher = {arXiv},
year = {2022},
copyright = {arXiv.org perpetual, non-exclusive license}
}
@article {MR4054120,
AUTHOR = {Schork, L. and Gondzio, J.},
TITLE = {Rank revealing {G}aussian elimination by the maximum volume
concept},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {592},
YEAR = {2020},
PAGES = {1--19},
ISSN = {0024-3795},
MRCLASS = {15A12 (15A18 15A23 65F35 65F40)},
MRNUMBER = {4054120},
MRREVIEWER = {Ctirad Matonoha},
DOI = {10.1016/j.laa.2019.12.037},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2019.12.037},
}
@article {MR2072929,
AUTHOR = {Hall, J.A.J. and McKinnon, K.I.M.},
TITLE = {The simplest examples where the simplex method cycles and
conditions where {EXPAND} fails to prevent cycling},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {100},
YEAR = {2004},
NUMBER = {1, Ser. B},
PAGES = {133--150},
ISSN = {0025-5610},
MRCLASS = {90C05},
MRNUMBER = {2072929},
MRREVIEWER = {S. S. Chadha},
DOI = {10.1007/s10107-003-0488-1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-003-0488-1},
}
@phdthesis{LinJie2021,
author={Lin, J.},
title={Security Analysis of Quantum Key Distribution: Methods and Applications},
year={2021},
publisher = {UWSpace},
url={http://hdl.handle.net/10012/17550}
}
@article{MR141799,
pages = {591-597},
author = {Zhadan, V.},
journal = {Proceedings of the VIII International Conference on Optimization and Applications},
language = {eng},
year = {2017},
title = {Two-Phase Dual Simplex Method for Linear Semidefinite Optimization},
}
@article{CartisGouldRelint06,
pages = {1-59},
author = {Cartis, C. and Gould, N.},
issn = {1358-6254},
journal = {Council for the Central Laboratory of the Research Councils},
language = {eng},
year = {2006},
title = {Finding a point in the relative interior of a polyhedron},
}
@article {MR3555713,
AUTHOR = {Zhadan, V.G.},
TITLE = {A variant of the dual simplex method for a linear semidefinite
programming problem},
JOURNAL = {Tr. Inst. Mat. Mekh.},
FJOURNAL = {Trudy Instituta Matematiki i Mekhaniki},
VOLUME = {22},
YEAR = {2016},
NUMBER = {3},
PAGES = {90--100},
ISSN = {0134-4889},
MRCLASS = {90C05 (90C22 90C49)},
MRNUMBER = {3555713},
MRREVIEWER = {Christiane Tammer},
DOI = {10.1134/s0081543817090267},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1134/s0081543817090267},
}
@article {MR1035183,
AUTHOR = {Megiddo, N. and Chandrasekaran, R.},
TITLE = {On the {$\epsilon$}-perturbation method for avoiding
degeneracy},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {8},
YEAR = {1989},
NUMBER = {6},
PAGES = {305--308},
ISSN = {0167-6377},
MRCLASS = {90C05},
MRNUMBER = {1035183},
MRREVIEWER = {Manjusri Basu},
DOI = {10.1016/0167-6377(89)90014-X},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0167-6377(89)90014-X},
}
@article{PhysRevResearch.3.013274,
title = {Numerical calculations of the finite key rate for general quantum key distribution protocols},
author = {George, I. and Lin, J. and L\"utkenhaus, N.},
journal = {Phys. Rev. Research},
volume = {3},
issue = {1},
pages = {013274},
numpages = {25},
year = {2021},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRevResearch.3.013274},
url = {https://link.aps.org/doi/10.1103/PhysRevResearch.3.013274}
}
@incollection {MR3971970,
AUTHOR = {Bo\c{t}, R.I. and Csetnek, E.R. and Meier, D.},
TITLE = {Variable metric {ADMM} for solving variational inequalities
with monotone operators over affine sets},
BOOKTITLE = {Splitting algorithms, modern operator theory, and
applications},
PAGES = {91--112},
PUBLISHER = {Springer, Cham},
YEAR = {[2019] \copyright 2019},
MRCLASS = {49M29 (47H05 65K05 90C25 90C48)},
MRNUMBER = {3971970},
MRREVIEWER = {J. Y. Bello Cruz},
}
@article {MR4080946,
AUTHOR = {Pe\~{n}a, J. and Roshchina, V.},
TITLE = {A data-independent distance to infeasibility for linear conic
systems},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {30},
YEAR = {2020},
NUMBER = {2},
PAGES = {1049--1066},
ISSN = {1052-6234},
MRCLASS = {90C31 (65F22 65K10 90C25)},
MRNUMBER = {4080946},
MRREVIEWER = {Minghua Li},
DOI = {10.1137/18M1189464},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/18M1189464},
}
@article {MR551319,
AUTHOR = {Lions, P.L. and Mercier, B.},
TITLE = {Splitting algorithms for the sum of two nonlinear operators},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {16},
YEAR = {1979},
NUMBER = {6},
PAGES = {964--979},
ISSN = {0036-1429},
MRCLASS = {47H17 (35K55 35R35 49D25 65J15)},
MRNUMBER = {551319},
MRREVIEWER = {D. Pascali},
DOI = {10.1137/0716071},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0716071},
}
@article {MR4027840,
AUTHOR = {Pataki, G.},
TITLE = {Characterizing bad semidefinite programs: normal forms and
short proofs},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review},
VOLUME = {61},
YEAR = {2019},
NUMBER = {4},
PAGES = {839--859},
ISSN = {0036-1445},
MRCLASS = {90C22 (90C46)},
MRNUMBER = {4027840},
MRREVIEWER = {Yan Gao},
DOI = {10.1137/17M1140844},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/17M1140844},
}
@article {MR388811,
AUTHOR = {Glowinski, R. and Marrocco, A.},
TITLE = {Sur l'approximation, par \'{e}l\'{e}ments finis d'ordre un, et la
r\'{e}solution, par p\'{e}nalisation-dualit\'{e}, d'une classe de
probl\`emes de {D}irichlet non lin\'{e}aires},
JOURNAL = {Rev. Fran\c{c}aise Automat. Informat. Recherche Op\'{e}rationnelle
S\'{e}r. Rouge Anal. Num\'{e}r.},
FJOURNAL = {Revue Fran\c{c}aise d'Automatique, Informatique et Recherche
Op\'{e}rationnelle S\'{e}rie Rouge. Analyse Num\'{e}rique},
VOLUME = {9},
YEAR = {1975},
NUMBER = {{\rm R}-2},
PAGES = {41--76},
ISSN = {0397-9342},
MRCLASS = {65N35},
MRNUMBER = {388811},
MRREVIEWER = {J. R. Cannon},
}
@book {MR3587821,
TITLE = {Splitting methods in communication, imaging, science, and
engineering},
SERIES = {Scientific Computation},
EDITOR = {Glowinski, R. and Osher, S.J.},
PUBLISHER = {Springer, Cham},
YEAR = {2016},
PAGES = {xviii+820},
ISBN = {978-3-319-41587-1; 978-3-319-41589-5},
MRCLASS = {65-06 (49-06 68U10 90-06)},
MRNUMBER = {3587821},
DOI = {10.1007/978-3-319-41589-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-319-41589-5},
}
@article {MR262827,
AUTHOR = {Rockafellar, R. T.},
TITLE = {On the maximal monotonicity of subdifferential mappings},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {33},
YEAR = {1970},
PAGES = {209--216},
ISSN = {0030-8730},
MRCLASS = {46.45},
MRNUMBER = {262827},
MRREVIEWER = {K. Sundaresan},
URL = {http://projecteuclid.org.proxy.lib.uwaterloo.ca/euclid.pjm/1102977253},
}
@misc{alma9950972833505162,
publisher = {University of Waterloo},
author = {Lin, J.},
address = {Waterloo, Ontario, Canada},
booktitle = {Security proofs for quantum key distribution protocols by numerical approaches},
keywords = {Quantum communication -- Security measures},
language = {eng},
year = {2017},
title = {Security proofs for quantum key distribution protocols by numerical approaches },
}
@book {MR1438308,
TITLE = {Advances in linear and integer programming},
SERIES = {Oxford Lecture Series in Mathematics and its Applications},
VOLUME = {4},
EDITOR = {Beasley, J.E.},
NOTE = {Oxford Science Publications},
PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
YEAR = {1996},
PAGES = {xiv+288},
ISBN = {0-19-853856-1},
MRCLASS = {90-06 (90C05 90C10)},
MRNUMBER = {1438308},
}
@article {MR1168183,
AUTHOR = {Eckstein, J. and Bertsekas, D.P.},
TITLE = {On the {D}ouglas-{R}achford splitting method and the proximal
point algorithm for maximal monotone operators},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {55},
YEAR = {1992},
NUMBER = {3, Ser. A},
PAGES = {293--318},
ISSN = {0025-5610},
MRCLASS = {90C25 (65K05)},
MRNUMBER = {1168183},
MRREVIEWER = {F. Giannessi},
DOI = {10.1007/BF01581204},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01581204},
}
%%% The below are for the nuerIPS SIP problem
@article {MR1398266,
AUTHOR = {Price, C.J. and Coope, I.D.},
TITLE = {Numerical experiments in semi-infinite programming},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {169--189},
ISSN = {0926-6003},
MRCLASS = {90C34 (90-08)},
MRNUMBER = {1398266},
DOI = {10.1007/BF00249645},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF00249645},
}
@article {MR2002135,
AUTHOR = {Stein, O. and Still, G.},
TITLE = {Solving semi-infinite optimization problems with interior
point techniques},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {SIAM Journal on Control and Optimization},
VOLUME = {42},
YEAR = {2003},
NUMBER = {3},
PAGES = {769--788},
ISSN = {0363-0129},
MRCLASS = {90C32 (65K05 90C51)},
MRNUMBER = {2002135},
MRREVIEWER = {Sven-\AA ke Gustafson},
DOI = {10.1137/S0363012901398393},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0363012901398393},
}
@article{DBLP:journals/corr/abs-2005-10691,
author = {Andrea, B and
Federico B. and
Michela M.},
title = {Improving Deep Learning Models via Constraint-Based Domain Knowledge:
a Brief Survey},
journal = {CoRR},
volume = {abs/2005.10691},
year = {2020},
url = {https://arxiv.org/abs/2005.10691},
eprinttype = {arXiv},
eprint = {2005.10691},
timestamp = {Fri, 22 May 2020 16:21:28 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2005-10691.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@ARTICLE{9429985,
author={von Rueden, L. and Mayer, S. and Beckh, K. and Georgiev, B. and Giesselbach, S. and Heese, R. and Kirsch, B. and Walczak, M. and Pfrommer, J. and Pick, A. and Ramamurthy, R. and Garcke, J. and Bauckhage, C. and Schuecker, J.},
journal={IEEE Transactions on Knowledge and Data Engineering},
title={Informed Machine Learning - A Taxonomy and Survey of Integrating Prior Knowledge into Learning Systems},
year={2021},
volume={},
number={},
pages={1-1},
doi={10.1109/TKDE.2021.3079836}
}
@inproceedings{NEURIPS2019_cf708fc1,
author = {Nandwani, Y. and Pathak, A. and Mausam and Singla, P.},
booktitle = {Advances in Neural Information Processing Systems},
editor = {H. Wallach and H. Larochelle and A. Beygelzimer and F. d\textquotesingle Alch\'{e}-Buc and E. Fox and R. Garnett},
pages = {},
publisher = {Curran Associates, Inc.},
title = {A Primal Dual Formulation For Deep Learning With Constraints},
url = {https://proceedings.neurips.cc/paper/2019/file/cf708fc1decf0337aded484f8f4519ae-Paper.pdf},
volume = {32},
year = {2019}
}
@article{LauerFabien2008Ipki,
author = {Lauer, F. and Bloch, G.},
copyright = {2007 Elsevier B.V.},
issn = {0925-2312},
journal = {Neurocomputing (Amsterdam)},
keywords = {Classification ; Computer Science ; Invariance ; Machine Learning ; Pattern recognition ; Prior knowledge ; Support vector machine (SVM)},
language = {eng},
number = {7},
pages = {1578-1594},
publisher = {Elsevier B.V},
title = {Incorporating prior knowledge in support vector machines for classification: A review},
volume = {71},
year = {2008},
}
@article{PopescuAndrei2021Aoom,
author = {Popescu, A. and Polat-Erdeniz, S. and Felfernig, A. and Uta, M. and Atas, M. and Le, V.M. and Pilsl, K. and Enzelsberger, M. and Tran, T.N.T},
address = {New York},
copyright = {The Author(s) 2021},
issn = {0925-9902},
journal = {Journal of intelligent information systems},
keywords = {Algorithms ; Analysis ; Article ; Artificial Intelligence ; Computer Science ; Configurations ; Constraint modelling ; Data mining ; Data Structures and Information Theory ; Declarative programming ; Heuristic ; Information Storage and Retrieval ; Information systems ; IT in Business ; Machine learning ; Mathematical programming ; Methods ; Natural Language Processing (NLP) ; Production scheduling ; State-of-the-art reviews ; Web portals},
language = {eng},
number = {1},
pages = {91-118},
publisher = {Springer US},
title = {An overview of machine learning techniques in constraint solving},
volume = {58},
year = {2021},
}
% The below are imported for the LP lack of Slater point paper
@article{AndersenErlingD95,
author = {Andersen, E.D.},
copyright = {Copyright Taylor \& Francis Group, LLC 1995},
issn = {1055-6788},
journal = {Optimization methods \& software},
language = {eng},
number = {3},
pages = {219-227},
publisher = {Gordon and Breach Science Publishers},
title = {Finding all linearly dependent rows in large-scale linear programming},
volume = {6},
year = {1995},
}
@article {MR668279,
AUTHOR = {Chandrasekaran, R. and Kabadi, Santosh N. and Murty, Katta G.},
TITLE = {Some {NP}-complete problems in linear programming},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {1},
YEAR = {1981/82},
NUMBER = {3},
PAGES = {101--104},
ISSN = {0167-6377},
MRCLASS = {90C05},
MRNUMBER = {668279},
DOI = {10.1016/0167-6377(82)90006-2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0167-6377(82)90006-2},
}
@article{GouldNicholas2016ANoP,
abstract = {In recent years, performance profiles have become a popular and widely used tool for benchmarking and evaluating the performance of several solvers when run on a large test set. Here we use data from a real application as well as a simple artificial example to illustrate that caution should be exercised when trying to interpret performance profiles to assess the relative performance of the solvers.},
author = {Gould, N. and Scott, J.},
copyright = {COPYRIGHT 2017 Association for Computing Machinery, Inc.},
issn = {0098-3500},
journal = {ACM transactions on mathematical software},
keywords = {Algorithms ; benchmarking ; Benchmarks ; Evaluation ; Mathematical software ; Methods ; Performance profiles ; Research ; testing},
language = {eng},
number = {2},
pages = {1-5},
publisher = {ACM},
title = {A Note on Performance Profiles for Benchmarking Software},
volume = {43},
year = {2016},
}
@article{FreundRobertM2005OaEo,
address = {Linthicum},
copyright = {Copyright 2005 Institute for Operations Research and the Management Sciences},
issn = {0364-765X},
journal = {Mathematics of operations research},
keywords = {Cephalopelvic disproportion ; condition number ; conic optimization ; Conic sections ; convex optimization ; duality ; Geometric properties ; Mathematical duality ; Mathematical inequalities ; Mathematical optimization ; Mathematical theorems ; Number theory ; Objective functions ; Optimal solutions ; Optimization ; Perturbation (Mathematics) ; perturbation theory ; Research ; Sensitivity analysis ; Studies},
language = {eng},
number = {1},
pages = {173-194},
publisher = {INFORMS},
title = {On an Extension of Condition Number Theory to Nonconic Convex Optimization},
abstract = {The purpose of this paper is to extend, as much as possible, the modern theory of condition numbers for conic convex optimization:
z * min x c t x , s.t. Axb C Y , x C X ,
to the more general nonconic format:
z * min x c t x , ( GP d ) s.t. Ax b C Y , x P ,
where P is any closed convex set, not necessarily a cone, which we call the ground-set. Although any convex problem can be transformed to conic form, such transformations are neither unique nor natural given the natural description of many problems, thereby diminishing the relevance of data-based condition number theory. Herein we extend the modern theory of condition numbers to the problem format ( GP d ). As a byproduct, we are able to state and prove natural extensions of many theorems from the conic-based theory of condition numbers to this broader problem format.},
author = {Freund, R.M. and Ordonez, F.},
volume = {30},
year = {2005},
}
@article{ForsgrenAnders2015Pada,
author = {Forsgren, A. and Gill, P.E. and Wong, E.},
address = {Berlin/Heidelberg},
copyright = {Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society 2015},
issn = {0025-5610},
journal = {Mathematical programming},
keywords = {90C20 ; Active-set methods ; Beräkningsmatematik ; Calculus of Variations and Optimal Control; Optimization ; Combinatorics ; Computational Mathematics ; Convex quadratic programming ; Dual active-set methods ; Full Length Paper ; Matematik ; Mathematical and Computational Physics ; Mathematical Methods in Physics ; Mathematics ; Mathematics - Optimization and Control ; Mathematics and Statistics ; Mathematics of Computing ; Natural Sciences ; Naturvetenskap ; Numerical Analysis ; Primal active-set methods ; Quadratic programming ; Theoretical ; Theoretical, Mathematical and Computational Physics},
language = {eng},
number = {1-2},
pages = {469-508},
publisher = {Springer Berlin Heidelberg},
title = {Primal and dual active-set methods for convex quadratic programming},
volume = {159},
year = {2015},
}
@article{WolfePhilip1959TSMf,
abstract = {A computational procedure is given for finding the minimum of a quadratic function of variables subject to linear inequality constraints. The procedure is analogous to the Simplex Method for linear programming, being based on the Barankin-Dorfman procedure for this problem.},
author = {Wolfe, P.},
address = {Menasha, Wis},
copyright = {Copyright 1959 The Econometric Society},
issn = {0012-9682},
journal = {Econometrica},
keywords = {Algorithms ; Coefficients ; Inequality constraints ; Linear inequalities ; Linear programming ; Mathematical minima ; Quadratic functions ; Quadratic programming ; Recursion ; Simplex method},
language = {eng},
number = {3},
pages = {382-398},
publisher = {The Econometric Society},
title = {The Simplex Method for Quadratic Programming},
volume = {27},
year = {1959},
}
@article{GauvinJacques1977Anas,
author = {Gauvin, J.},
issn = {0025-5610},
journal = {Mathematical programming},
language = {eng},
number = {1},
pages = {136-138},
title = {A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming},
volume = {12},
year = {1977},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% most of the entries below are used for BP bound papers.
@article {MR3658454,
AUTHOR = {Mare\v{c}ek, J. and Tak\'{a}\v{c}, M.},
TITLE = {A low-rank coordinate-descent algorithm for semidefinite
programming relaxations of optimal power flow},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {32},
YEAR = {2017},
NUMBER = {4},
PAGES = {849--871},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C29)},
MRNUMBER = {3658454},
DOI = {10.1080/10556788.2017.1288729},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556788.2017.1288729},
}
@article{MolzahnDanielK2014ASCf,
AUTHOR = {D. Molzahn and B. Lesieutre and C. DeMarco},
address = {PISCATAWAY},
copyright = {Copyright 2014 Elsevier B.V., All rights reserved.},
issn = {0885-8950},
journal = {IEEE transactions on power systems},
keywords = {Reactive power ; Global optimization ; optimal power flow ;
Educational institutions ; Polynomials ; Admittance ; Programming
profession ; Engineering, Electrical \& Electronic ; Engineering ;
Technology ; Science \& Technology ; Measurement ; Usage ; Innovations ; Voltage ; Linear programming ; Electric power systems ; Mathematical optimization},
language = {eng},
number = {2},
pages = {978-979},
publisher = {IEEE},
title = {A Sufficient Condition for Global Optimality of Solutions to the Optimal Power Flow Problem},
volume = {29},
year = {2014},
}
@article {MR2519666,
AUTHOR = {Grippo, L. and Palagi, L. and Piccialli, V.},
TITLE = {Necessary and sufficient global optimality conditions for
{NLP} reformulations of linear {SDP} problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {44},
YEAR = {2009},
NUMBER = {3},
PAGES = {339--348},
ISSN = {0925-5001},
MRCLASS = {90C22 (90C20)},
MRNUMBER = {2519666},
MRREVIEWER = {Yunbin Zhao},
DOI = {10.1007/s10898-008-9328-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-008-9328-4},
}
@article {MR3395545,
AUTHOR = {Fawzi, H. and Gouveia, J. and Parrilo, P.A. and
Robinson, R.Z. and Thomas, R.R.},
TITLE = {Positive semidefinite rank},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {153},
YEAR = {2015},
NUMBER = {1, Ser. B},
PAGES = {133--177},
ISSN = {0025-5610},
MRCLASS = {90C22 (15A23 68Q17)},
MRNUMBER = {3395545},
MRREVIEWER = {Marek Niezgoda},
DOI = {10.1007/s10107-015-0922-1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-015-0922-1},
}
@article {MR3372106,
AUTHOR = {Minghui, L. and Pataki, G.},
TITLE = {Exact duality in semidefinite programming based on elementary
reformulations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {25},
YEAR = {2015},
NUMBER = {3},
PAGES = {1441--1454},
ISSN = {1052-6234},
MRCLASS = {90C46 (49N15)},
MRNUMBER = {3372106},
DOI = {10.1137/140972354},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/140972354},
}
@book{HillierFrederickS2008LaNP,
year = {2008},
abstract = {This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area. The book also has a new co-author, who has written extra material including some on Interior Point Methods.},
author = {Hillier, F.S and Luenberger, D.G and Ye, Y.},
address = {Boston},
isbn = {9781441945044},
keywords = {Linear programming ; Nonlinear programming},
language = {eng},
publisher = {Springer},
series = {International series in operations research \& management science},
title = {Linear and Nonlinear Programming},
volume = {116},
}
@article{cvxquad,
title={Semidefinite approximations of the matrix logarithm},
author={Fawzi, H. and Saunderson, J. and Parrilo, P.A.},
year={2018},
journal={Foundations of Computational Mathematics},
note={Package cvxquad at \url{https://github.com/hfawzi/cvxquad}}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@book{BurkowskiForbesJ2015CaVT,
abstract = {A Step-by-Step Guide to Describing Biomolecular StructureComputational and Visualization Techniques for Structural Bioinformatics Using Chimera shows how to perform computations with Python scripts in the Chimera environment. It focuses on the three core areas needed to study structural bioinformatics: biochemistry, mathematics, and computation.Und},
author = {Burkowski, F.J.},
address = {London},
booktitle = {Computational and Visualization Techniques for Structural Bioinformatics Using Chimera},
copyright = {2015 by Taylor \&; Francis Group, LLC},
isbn = {9781439836613},
keywords = {Bioinformatics ; Biophysics ; Proteins ; Structural bioinformatics ; Molecular structure ; Analysis ; Data processing ; Mathematical models ; Simulation methods},
language = {eng},
publisher = {Chapman and Hall/CRC},
series = {Chapman \& Hall/CRC mathematical and computational biology series},
title = {Computational and Visualization Techniques for Structural Bioinformatics Using Chimera},
year = {2015},
}
@article{XuJinbo2006Faaa,
abstract = {This article studies the protein side-chain packing problem using the tree-decomposition of a protein structure. To obtain fast and accurate protein side-chain packing, protein structures are modeled using a geometric neighborhood graph, which can be easily decomposed into smaller blocks. Therefore, the side-chain assignment of the whole protein can be assembled from the assignment of the small blocks. Although we will show that the side-chain packing problem is still NP -hard, we can achieve a tree-decomposition-based globally optimal algorithm with time complexity of O ( Nn rot tw + 1) and several polynomial-time approximation schemes (PTAS), where N is the number of residues contained in the protein, n rot the average number of rotamers for each residue, and tw = O ( N 2/3 log N ) the treewidth of the protein structure graph. Experimental results indicate that after Goldstein dead-end elimination is conducted, n rot is very small and tw is equal to 3 or 4 most of the time. Based on the globally optimal algorithm, we developed a protein side-chain assignment program TreePack, which runs up to 90 times faster than SCWRL 3.0, a widely-used side-chain packing program, on some large test proteins in the SCWRL benchmark database and an average of five times faster on all the test proteins in this database. There are also some real-world instances that TreePack can solve but that SCWRL 3.0 cannot. The TreePack program is available at http://ttic.uchicago.edu/~jinbo/TreePack.htm.},
author = {Xu, J. and Berger, B.},
issn = {0004-5411},
journal = {Journal of the ACM (JACM)},
keywords = {Protein side-chain packing ; polynomial-time approximation scheme ; approximate algorithm ; tree decomposition},
language = {eng},
number = {4},
pages = {533-557},
publisher = {ACM},
title = {Fast and accurate algorithms for protein side-chain packing},
volume = {53},
year = {2006},
}
@article{Camerini1975,
AUTHOR = {Camerini, P.M. and Fratta, L. and Maffioli, F.},
TITLE = {On improving relaxation methods by modified gradient
techniques},
NOTE = {Nondifferentiable optimization},
JOURNAL = {Math. Programming Stud.},
FJOURNAL = {Mathematical Programming Study},
NUMBER = {3},
YEAR = {1975},
PAGES = {26--34},
ISSN = {0303-3929},
MRCLASS = {65K05},
MRNUMBER = {445822},
DOI = {10.1007/bfb0120697},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/bfb0120697},
}
####from Jie's Bib.bib file
@inproceedings{dupuis2014generalized,
title={Generalized entropies},
author={Dupuis, F. and Kraemer, L. and Faist, P. and Renes, J.M. and
Renner, R.},
booktitle={XVIIth International Congress on Mathematical Physics},
pages={134--153},
year={2014},
organization={World Scientific}
}
@article{Wang2019asymmetric,
title={Resource theory of asymmetric distinguishability},
author={Wang, X. and Wilde, M.M.},
journal={arXiv preprint arXiv:1905.11629},
year={2019}
}
@article{Berta2017,
title={On variational expressions for quantum relative entropies},
author={Berta, M. and Fawzi, O. and Tomamichel, M.},
journal={Letters in Mathematical Physics},
volume={107},
number={12},
pages={2239--2265},
year={2017},
publisher={Springer}
}
@article{Faybusovich2019on,
abstract = {We consider computational aspects of the long-step path-following algorithm developed in our previous work. We show that a broad class of complicated optimization problems arising in quantum information theory can be solved using this approach. As a very difficult example, we consider one important optimization problem in quantum key distribution (QKD) and show that our method allows one to solve problems of this type much faster in comparison with (very few) available options.},
archivePrefix = {arXiv},
arxivId = {1906.00037},
author = {Faybusovich, L. and Zhou, C.},
eprint = {1906.00037},
keywords = {long-step path-following algorithm,matrix,monotone functions,quantum information theory,quantum key distribution,self-concordant functions},
title = {{On Implementation of Long-Step Path-Following Algorithms for Convex Optimization Problems in Quantum Information Theory}},
url = {http://arxiv.org/abs/1906.00037},
year = {2019}
}
@article{Faybusovich2019,
author = {Faybusovich, L. and Zhou, C.},
doi = {10.1007/s10589-018-0054-7},
issn = {15732894},
journal = {Computational Optimization and Applications},
keywords = {Convex optimization,Interior-point methods,Matrix monotonicity,Nonlinear objective functions,Self-concordance,Symmetric programming,Von Neumann entropy},
number = {3},
pages = {769--795},
title = {{Long-step path-following algorithm for solving symmetric programming problems with nonlinear objective functions}},
volume = {72},
year = {2019}
}
@article{Coles2012,
author = " P.J. Coles",
title = "Unification of different views of decoherence and discord",
journal= "Phys. Rev. A",
year = "2012",
volume = "85",
pages = "042103",
doi={10.1103/PhysRevA.85.042103}
}
@article{Ferenczi2012,
author = {A. Ferenczi and N. L{\"u}tkenhaus},
title = "Symmetries in Quantum Key Distribution and the Connection between Optimal Attacks and Optimal Cloning",
journal= "Phys. Rev. A",
year = "2012",
volume = "85",
pages = "052310",
doi = {10.1103/PhysRevA.85.052310}
}
@article{Fawzi2016,
title={Lieb's concavity theorem, matrix geometric means, and semidefinite optimization},
author={Fawzi, H. and Saunderson, J.},
journal={Linear Algebra and its Applications},
volume={513},
pages={240--263},
year={2017},
publisher={Elsevier}
}
@article{coles2016numerical,
title={Numerical approach for unstructured quantum key distribution},
author={Coles, P.J. and Metodiev, E. M. and L{\"u}tkenhaus, N.},
journal={Nature communications},
volume={7},
pages={11712},
year={2016},
publisher={Nature Publishing Group}
}
@article{Lucamarini2018,
author = "M. Lucamarini and Z.L. Yuan and J.F. Dynes and A.J. Shields",
title = "Overcoming the rate-distance limit of quantum key distribution without quantum repeaters",
journal= "Nature",
year = "2018",
volume = "557",
pages = "400--403",
doi = {10.1038/s41586-018-0066-6}
}
@article{Lo2012,
author = "H.-K. Lo and M. Curty and B. Qi",
title = "Measurement-device-independent quantum key distribution",
journal= "Phys. Rev. Lett. ",
year = "2012",
volume = "108",
pages = "130503",
doi = {10.1103/PhysRevLett.108.130503}
}
@article{Curty2019,
Author = {M. Curty and K. Azuma and H.-K. Lo},
Title = {Simple security proof of twin-field type quantum key distribution protocol},
Year = {2019},
journal = {npj. Quantum Inf.},
volume = {5},
pages = {64},
doi = {10.1038/s41534-019-0175-6}
}
@article{fang2019geometric,
title={Geometric {R}\'enyi Divergence and its Applications in Quantum Channel Capacities},
author={Fang, K. and Fawzi, H.},
journal={arXiv preprint arXiv:1909.05758},
year={2019}
}
@InProceedings{Bennett1984,
author = {Bennett, C.H. and Brassard, G.},
title = {{Quantum cryptography: Public key distribution and coin tossing}},
booktitle = {International Conference on Computers, Systems {\&} Signal Processing, Bangalore, India, Dec 9-12, 1984},
year = {1984},
pages = {175--179}
}
@Article{Bennett2002,
author = {Bennett, C.H. and Shor, P.W. and Smolin, J.A. and Thapliyal, A.V.},
title = {{Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem}},
journal = {IEEE Transactions on Information Theory},
year = {2002},
volume = {48},
number = {10},
pages = {2637--2655},
month = {oct},
doi = {10.1109/TIT.2002.802612},
isbn = {0018-9448},
issn = {0018-9448},
url = {http://ieeexplore.ieee.org/document/1035117/}
}
@Article{Bennett2003bidirectional,
author = {Bennett, C.H. and Harrow, A.W. and Leung, D.W. and Smolin, J.A.},
title = {{On the capacities of bipartite hamiltonians and unitary gates}},
journal = {IEEE Transactions on Information Theory},
year = {2003},
volume = {49},
number = {8},
pages = {1895--1911},
month = {aug},
abstract = {We consider interactions as bidirectional channels. We investigate the capacities for interaction Hamil-tonians and nonlocal unitary gates to generate entanglement and transmit classical information. We give analytic expressions for the entanglement generating capacity and entanglement-assisted one-way classical communication capacity of interactions, and show that these quantities are additive, so that the asymptotic capacities equal the corresponding 1-shot capacities. We give general bounds on other capacities , discuss some examples, and conclude with some open questions.},
doi = {10.1109/TIT.2003.814935},
issn = {0018-9448},
mendeley-groups = {Quantum network},
url = {https://arxiv.org/pdf/quant-ph/0205057.pdf http://ieeexplore.ieee.org/document/1214070/}
}
@Article{Bennett2014,
author = {Bennett, C.H. and Devetak, I and Harrow, A.W. and Shor, P.W. and Winter, A},
title = {{The Quantum Reverse Shannon Theorem and Resource Tradeoffs for Simulating Quantum Channels}},
journal = {IEEE Transactions on Information Theory},
year = {2014},
volume = {60},
number = {5},
pages = {2926--2959},
doi = {10.1109/TIT.2014.2309968},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Bennett et al. - 2014 - The Quantum Reverse Shannon Theorem and Resource Tradeoffs for Simulating Quantum Channels.pdf:pdf},
isbn = {0018-9448},
keywords = {Noise measurement,Quantum computing,Receivers,Standards,auxiliary resources,backward communication,channel capacity,channel coding,channel inputs,coherent feedback simulations,communication resources,entanglement-assisted capacity theorem,entanglement-embezzling states,forward communication cost,information theory,memoryless source quantum generalization,noiseless channels,noisy channel coding problem,nontensor-power sources,quantum channel simulation,quantum communication,quantum entanglement,quantum reverse Shannon theorem,rate-distortion,resource tradeoffs,standard ebits,tensor power sources}
}
@Book{bhatia_psd_book,
title = {Positive Definite Matrices},
publisher = {Princeton University Press},
year = {2007},
author = {Bhatia, R.}
}
@Article{Lin2019,
author = {J. Lin and T. Upadhyaya and N. L{\"u}tkenhaus},
title = {Asymptotic Security Analysis of Discrete-Modulated Continuous-Variable Quantum Key Distribution},
journal = {Phys. Rev. X},
year = {2019},
volume = {9},
pages = {041064},
doi = {10.1103/PhysRevX.9.041064},
publisher = {American Physical Society},
}
@Article{Doherty2002,
author = {Doherty, A.C. and Parrilo, P.A. and Spedalieri, F.M.},
title = {{Distinguishing separable and entangled states}},
journal = {Physical Review Letters},
year = {2002},
volume = {88},
number = {18},
pages = {187904},
annote = {NULL},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Doherty, Parrilo, Spedalieri - 2002 - Distinguishing separable and entangled states.pdf:pdf},
publisher = {APS}
}
@Article{Fang2019,
author = {Fang, K. and Fawzi, H.},
title = {The sum-of-squares hierarchy on the sphere, and applications in quantum information theory},
journal = {arXiv:1908.05155},
year = {2019}
}
@Article{Fawzi2017,
author = {Fawzi, H. and Saunderson, J. and Parrilo, P.A.},
title = {{Semidefinite Approximations of the Matrix Logarithm}},
journal = {Foundations of Computational Mathematics},
year = {2018},
month = {mar},
abstract = {We propose a new way to treat the exponential/relative entropy cone using symmetric cone solvers. Our approach is based on highly accurate rational (Pad$\backslash$'e) approximations of the logarithm function. The key to this approach is that our rational approximations, by construction, inherit the (operator) concavity of the logarithm. Importantly, our method extends to the matrix logarithm and other derived functions such as the matrix relative entropy, giving new semidefinite optimization-based tools for convex optimization involving these functions. We include an implementation of our method for the MATLAB-based parser CVX. We compare our method to the existing successive approximation scheme in CVX, and show that it can be much faster, especially for large problems.},
archiveprefix = {arXiv},
arxivid = {1705.00812},
doi = {10.1007/s10208-018-9385-0},
eprint = {1705.00812},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Fawzi, Saunderson, Parrilo - 2018 - Semidefinite Approximations of the Matrix Logarithm.pdf:pdf},
issn = {1615-3375},
url = {http://link.springer.com/10.1007/s10208-018-9385-0}
}
@Article{fawzi2017lieb,
author = {Fawzi, H. and Saunderson, J.},
title = {Lieb's concavity theorem, matrix geometric means, and semidefinite optimization},
journal = {Linear Algebra and its Applications},
year = {2017},
volume = {513},
pages = {240--263},
publisher = {Elsevier}
}
@Article{fawzi2018efficient,
author = {Fawzi, H. and Fawzi, O.},
title = {Efficient optimization of the quantum relative entropy},
journal = {Journal of Physics A: Mathematical and Theoretical},
year = {2018},
volume = {51},
number = {15},
pages = {154003},
publisher = {IOP Publishing}
}
@Article{fawzi2019set,
author = {Fawzi, H.},
title = {The set of separable states has no finite semidefinite representation except in dimension 3 by 2},
journal = {arXiv:1905.02575},
year = {2019}
}
@Article{Holevo1998,
author = {Holevo, A.S.},
title = {{The capacity of the quantum channel with general signal states}},
journal = {IEEE Transactions on Information Theory},
year = {1998},
volume = {44},
number = {1},
pages = {269--273},
doi = {10.1109/18.651037},
issn = {00189448},
publisher = {IEEE},
url = {http://ieeexplore.ieee.org/document/651037/}
}
@Article{Holevo2001,
author = {Holevo, A. and Werner, R.},
title = {{Evaluating capacities of bosonic Gaussian channels}},
journal = {Physical Review A},
year = {2001},
volume = {63},
number = {3},
pages = {032312},
month = {feb},
doi = {10.1103/PhysRevA.63.032312},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Holevo, Werner - 2001 - Evaluating capacities of bosonic Gaussian channels.pdf:pdf},
issn = {1050-2947},
publisher = {APS},
url = {https://link.aps.org/doi/10.1103/PhysRevA.63.032312}
}
@Article{Horodecki1996,
author = {Horodecki, M. and Horodecki, P. and Horodecki, R.},
title = {{Separability of mixed states: necessary and sufficient conditions}},
journal = {Physics Letters A},
year = {1996},
volume = {223},
number = {1-2},
pages = {1--8},
month = {nov},
doi = {10.1016/S0375-9601(96)00706-2},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Horodecki, Horodecki, Horodecki - 1996 - Separability of mixed states necessary and sufficient conditions.pdf:pdf},
isbn = {0375-9601},
issn = {03759601},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0375960196007062}
}
@Article{Kubo1980,
author = {Kubo, F. and Ando, T.},
title = {{Means of positive linear operators}},
journal = {Mathematische Annalen},
year = {1980},
volume = {246},
number = {3},
pages = {205--224},
month = {oct},
doi = {10.1007/BF01371042},
file = {:Users/K.Fang/Documents/Mendeley{\_}Kun/Kubo, Ando - 1980 - Means of positive linear operators.pdf:pdf},
issn = {0025-5831},
mendeley-groups = {Entropy},
url = {https://link.springer.com/content/pdf/10.1007{\%}2FBF01371042.pdf http://link.springer.com/10.1007/BF01371042}
}
@InProceedings{matsumoto2015new,
author = {Matsumoto, K.},
title = {A new quantum version of f-divergence},
booktitle = {Nagoya Winter Workshop: Reality and Measurement in Algebraic Quantum Theory},
year = {2015},
pages = {229--273},
organization = {Springer}
}
@Article{muller2013quantum,
author = {M{\"u}ller-Lennert, M. and Dupuis, F. and Szehr, O. and
Fehr, S. and Tomamichel, M.},
title = {On quantum R{\'e}nyi entropies: A new generalization and some properties},
journal = {Journal of Mathematical Physics},
year = {2013},
volume = {54},
number = {12},
pages = {122203},
publisher = {AIP}
}
@Article{Muller-Hermes2016,
author = {M{\"{u}}ller-Hermes, A. and Reeb, D. and Wolf, M.M.},
title = {{Positivity of linear maps under tensor powers}},
journal = {Journal of Mathematical Physics},
year = {2016},
volume = {57},
number = {1},
pages = {1--25},
abstract = {We investigate linear maps between matrix algebras that remain positive under tensor powers, i.e., under tensoring with {\$}n{\$} copies of themselves. Completely positive and completely co-positive maps are trivial examples of this kind. We show that for every {\$}n\backslashin\backslashmathbb{\{}N{\}}{\$} there exist non-trivial maps with this property and that for two-dimensional Hilbert spaces there is no non-trivial map for which this holds for all {\$}n{\$}. For higher dimensions we reduce the existence question of such non-trivial "tensor-stable positive maps" to a one-parameter family of maps and show that an affirmative answer would imply the existence of NPPT bound entanglement. As an application we show that any tensor-stable positive map that is not completely positive yields an upper bound on the quantum channel capacity, which for the transposition map gives the well-known cb-norm bound. We furthermore show that the latter is an upper bound even for the LOCC-assisted quantum capacity, and that moreover it is a strong converse rate for this task.},
archiveprefix = {arXiv},
arxivid = {1502.05630},
doi = {10.1063/1.4927070},
eprint = {1502.05630},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/M{\"{u}}ller-Hermes, Reeb, Wolf - 2016 - Positivity of linear maps under tensor powers.pdf:pdf},
issn = {00222488}
}
@Article{Pirandola2015b,
author = {Pirandola, S. and Laurenza, R. and Ottaviani, C. and
Banchi, L.},
title = {{Fundamental limits of repeaterless quantum communications}},
journal = {Nature Communications},
year = {2017},
volume = {8},
pages = {15043},
month = {apr},
abstract = {Quantum communications promises reliable transmission of quantum information, efficient distribution of entanglement and generation of completely secure keys. For all these tasks, we need to determine the optimal point-to-point rates that are achievable by two remote parties at the ends of a quantum channel, without restrictions on their local operations and classical communication, which can be unlimited and two-way. These two-way assisted capacities represent the ultimate rates that are reachable without quantum repeaters. By constructing an upperbound based on the relative entropy of entanglement and devising a dimension-independent technique dubbed "teleportation stretching", we establish these capacities for many fundamental channels, namely bosonic lossy channels, quantum-limited amplifiers, dephasing and erasure channels in arbitrary dimension. In particular, we determine the fundamental rate-loss trade-off affecting any protocol of quantum key distribution. Our findings set the ultimate limits of point-to-point quantum communications and provide the most precise and general benchmarks for quantum repeaters.},
doi = {10.1038/ncomms15043},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Pirandola et al. - 2017 - Fundamental limits of repeaterless quantum communications.pdf:pdf},
issn = {2041-1723},
url = {http://www.nature.com/doifinder/10.1038/ncomms15043}
}
@Article{Renner2005,
author = {Renner, R.},
title = {{Security of quantum key distribution}},
journal = {PhD thesis, ETH Zurich},
year = {2005},
volume = {6},
number = {01},
pages = {1--127},
annote = {NULL},
doi = {10.3929/ethz-a-005115027},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Renner - 2005 - Security of quantum key distribution.pdf:pdf},
issn = {0219-7499},
publisher = {World Scientific}
}
@Article{Shannon1948,
author = {Shannon, C.E.},
title = {{A Mathematical Theory of Communication}},
journal = {Bell System Technical Journal},
year = {1948},
volume = {27},
number = {3},
pages = {379--423},
month = {jul},
doi = {10.1002/j.1538-7305.1948.tb01338.x},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Shannon - 1948 - A Mathematical Theory of Communication.pdf:pdf},
isbn = {1559-1662},
issn = {00058580},
url = {http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6773024}
}
@Article{Sion1958,
author = {Sion, M.},
title = {{On general minimax theorems}},
journal = {Pacific Journal of Mathematics},
year = {1958},
volume = {8},
number = {1},
pages = {171--176},
month = {mar},
doi = {10.2140/pjm.1958.8.171},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Sion - 1958 - On general minimax theorems.pdf:pdf},
issn = {0030-8730},
url = {http://msp.org/pjm/1958/8-1/p14.xhtml}
}
@Article{Smith2008a,
author = {Smith, G. and Smolin, J.A. and Winter, A.},
title = {{The Quantum Capacity With Symmetric Side Channels}},
journal = {IEEE Transactions on Information Theory},
year = {2008},
volume = {54},
number = {9},
pages = {4208--4217},
month = {sep},
doi = {10.1109/TIT.2008.928269},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Smith, Smolin, Winter - 2008 - The Quantum Capacity With Symmetric Side Channels.pdf:pdf},
issn = {0018-9448},
publisher = {IEEE},
url = {http://ieeexplore.ieee.org/document/4608993/}
}
@InProceedings{Smith2008b,
author = {Smith, G. and Smolin, J.A.},
title = {{Additive extensions of a quantum channel}},
booktitle = {Proceedings of IEEE Information Theory Workshop (ITW)},
year = {2008},
pages = {368--372},
publisher = {IEEE},
annote = {NULL},
file = {:Users/xinwang/Library/Application Support/Mendeley Desktop/Downloaded/Smith, Smolin - 2008 - Additive extensions of a quantum channel.pdf:pdf},
isbn = {1424422698}
}
@Article{Smith2008structured,
author = {Smith, G. and Renes, J.M. and Smolin, J.A.},
title = {{Structured codes improve the Bennett-Brassard-84 quantum key rate}},
journal = {Physical Review Letters},
year = {2008},
volume = {100},
number = {17},
pages = {1--4},
abstract = {A central goal in information theory and cryptography is finding simple characterizations of optimal communication rates subject to various restrictions and security requirements. Ideally, the optimal key rate for a quantum key distribution (QKD) protocol would be given by {\{}$\backslash$em single-letter formula{\}} involving a simple optimization over a single use of an effective channel. We explore the possibility of such a formula for one of the simplest and most widely used QKD protocols--Bennett-Brassard-84 (BB84) with one way classical post-processing. We show that a conjectured single-letter key-rate formula is false, uncovering a deep ignorance about asymptotically good private codes and pointing towards unfortunate complications in the theory of QKD. These complications are not without benefit--with added complexity comes better key rates than previously thought possible. We improve the threshold for secure key generation from a bit error rate of 0.124 to 0.129.},
doi = {10.1103/PhysRevLett.100.170502},
file = {:Users/K.Fang/Documents/Mendeley{\_}Kun/Smith, Renes, Smolin - 2008 - Structured Codes Improve the Bennett-Brassard-84 Quantum Key Rate.pdf:pdf},
issn = {00319007},
mendeley-groups = {Resource theory}
}
@Article{Takeoka2014,
author = {Takeoka, M. and Guha, S. and Wilde, M.M.},
title = {{The squashed entanglement of a quantum channel}},
journal = {IEEE Transactions on Information Theory},
year = {2014},
volume = {60},
number = {8},
pages = {4987--4998},
issn = {0018-9448},
publisher = {IEEE}
}
@article{Devetak2005,
author = {I. Devetak and A. Winter},
title = "Distillation of Secret Key and Entanglement from Quantum States",
journal= "Proc. R. Soc. A",
year = "2005",
volume = "461",
pages = "207--235",
doi = {10.1098/rspa.2004.1372}
}
@Article{george2020finite,
Author = {I. George and J. Lin and N. L\"utkenhaus},
Title = {Numerical calculations of the finite key rate for general quantum key distribution protocols},
Year = {2021},
journal = {Physical Review Research},
volume={3},
pages = {013274},
doi = {10.1103/PhysRevResearch.3.013274}
}
@Article{upadhyaya2021dimension,
author = {T. Upadhyaya and T. van Himbeeck and J. Lin and N. L\"utkenhaus},
title = {Dimension reduction in quantum key distribution for continuous- and discrete-variable protocols},
year = {2021},
journal = {arXiv:2101.05799},
archiveprefix = {arXiv},
arxivid = {2101.05799},
eprint = {2101.05799},
url = {http://arxiv.org/abs/2101.05799}
}
@article{zhang2021security,
title={Security Proof of Practical Quantum Key Distribution with Detection-Efficiency Mismatch},
author={Zhang, Y. and Coles, P. J. and Winick, A. and Lin, J. and L\"utkenhaus, N.},
year={2021},
journal = {Phys. Rev. Research},
volume={3},
pages = {013076},
doi = {10.1103/PhysRevResearch.3.013076}
}
@article{Scarani2009,
author = {V. Scarani and H. Bechmann-Pasquinucci and N. J. Cerf and M. Du{\v s}ek and N. L{\"u}tkenhaus and M. Peev},
title = "The Security of Practical Quantum Key Distribution",
year = "2009",
journal = "Rev. Mod. Phys.",
volume="81",
pages = "1301",
doi={10.1103/RevModPhys.81.1301}
}
@article{Xu2020,
title={Secure Quantum Key Distribution with Realistic Devices},
author={Xu, F. and Ma, X. and Zhang, Q. and Lo, H.-K. and Pan, J.-W.},
journal={Rev. Mod. Phys.},
volume={92},
number={2},
pages={025002},
year={2020},
publisher={APS},
doi = {10.1103/RevModPhys.92.025002}
}
@article{cao2015discrete,
author = " Z. Cao and Z. Zhang and H.-K. Lo and X. Ma ",
title = "Discrete-phase-randomized coherent state source and its application in quantum key distribution",
journal= "New J. Phys.",
year = "2015",
volume = "17",
pages = "053014",
doi = {10.1088/1367-2630/17/5/053014}
}
.haoh.bib 0000640 0010230 0010230 00000033067 14274736043 013357 0 ustar hwolkowi hwolkowicz # This file contains papers from Hao Hu started Apr/18
@article{eldar2003semidefinite,
title={A semidefinite programming approach to optimal unambiguous discrimination of quantum states},
author={Eldar, Yonina C},
journal={IEEE Transactions on information theory},
volume={49},
number={2},
pages={446--456},
year={2003},
publisher={IEEE}
}
@article{li2020efficient,
title={On the efficient computation of a generalized {J}acobian of the
projector over the {B}irkhoff polytope},
author={Li, X and Sun, D and Toh, K.C.},
journal={Mathematical Programming},
volume={179},
number={1},
pages={419--446},
year={2020},
publisher={Springer}
}
@article{dan2002convergence,
title={Convergence properties of the inexact Levenberg-Marquardt method under local error bound conditions},
author={Dan, Hiroshige and Yamashita, Nobuo and Fukushima, Masao},
journal={Optimization methods and software},
volume={17},
number={4},
pages={605--626},
year={2002},
publisher={Taylor \& Francis}
}
@book{fernandez2017newton,
title={Newton's method: an updated approach of {K}antorovich's theory},
author={Fern{\'a}ndez, J.A.E. and Ver{\'o}n, M.{\'A}.H.},
year={2017},
publisher={Birkh{\"a}user}
}
@book{mordukhovich2006variational,
title={Variational analysis and generalized differentiation I: Basic theory},
author={Mordukhovich, Boris S},
volume={330},
year={2006},
publisher={Springer Science \& Business Media}
}
@misc{grant2008cvx,
title={CVX: Matlab software for disciplined convex programming},
author={Grant, Michael and Boyd, Stephen and Ye, Yinyu},
year={2008}
}
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%%%%%%%%%%%%%%% renata added::
% url = {https://doi.org/10.1007/s10107-019-01372-5},
% doi = {10.1007/s10107-019-01372-5},
% timestamp = {Wed, 13 May 2020 14:24:18 +0200},
% biburl = {https://dblp.org/rec/journals/mp/PermenterP20.bib},
% bibsource = {dblp computer science bibliography, https://dblp.org}
.hare.bib 0000640 0010230 0010230 00000071210 14256047046 013345 0 ustar hwolkowi hwolkowicz # This file contains papers from Warren Hare as of Dec/18
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@article {MR3877640,
AUTHOR = {Hare, Warren and Loeppky, Jason and Xie, Shangwei},
TITLE = {Methods to compare expensive stochastic optimization
algorithms with random restarts},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {72},
YEAR = {2018},
NUMBER = {4},
PAGES = {781--801},
ISSN = {0925-5001},
MRCLASS = {90C26 (90C15)},
MRNUMBER = {3877640},
DOI = {10.1007/s10898-018-0673-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-018-0673-7},
}
@article {MR3842179,
AUTHOR = {Hare, W. and Planiden, C.},
TITLE = {Computing proximal points of convex functions with inexact
subgradients},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis},
VOLUME = {26},
YEAR = {2018},
NUMBER = {3},
PAGES = {469--492},
ISSN = {1877-0533},
MRCLASS = {90C25 (49M30 65K05 90C56)},
MRNUMBER = {3842179},
MRREVIEWER = {Kurt Marti},
DOI = {10.1007/s11228-016-0394-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-016-0394-3},
}
@article {MR3842177,
AUTHOR = {Audet, Charles and Hare, Warren},
TITLE = {Algorithmic construction of the subdifferential from
directional derivatives},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis},
VOLUME = {26},
YEAR = {2018},
NUMBER = {3},
PAGES = {431--447},
ISSN = {1877-0533},
MRCLASS = {52B12 (49M37 65K15 90C30 90C56)},
MRNUMBER = {3842177},
DOI = {10.1007/s11228-016-0388-1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-016-0388-1},
}
@article {MR3813363,
AUTHOR = {Hare, W. and Jaberipour, M.},
TITLE = {Adaptive interpolation strategies in derivative-free
optimization: a case study},
JOURNAL = {Pac. J. Optim.},
FJOURNAL = {Pacific Journal of Optimization. An International Journal},
VOLUME = {14},
YEAR = {2018},
NUMBER = {2},
PAGES = {327--347},
ISSN = {1348-9151},
MRCLASS = {90C56 (49M25 65K05)},
MRNUMBER = {3813363},
}
@book {MR3729457,
AUTHOR = {Audet, Charles and Hare, Warren},
TITLE = {Derivative-free and blackbox optimization},
SERIES = {Springer Series in Operations Research and Financial
Engineering},
NOTE = {With a foreword by John E. Dennis Jr.},
PUBLISHER = {Springer, Cham},
YEAR = {2017},
PAGES = {xviii+300},
ISBN = {978-3-319-68912-8; 978-3-319-68913-5},
MRCLASS = {90-01 (49J52 65K05 90C30 90C56)},
MRNUMBER = {3729457},
MRREVIEWER = {Olga Brezhneva},
DOI = {10.1007/978-3-319-68913-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-319-68913-5},
}
@article {MR3719098,
AUTHOR = {Beiranvand, V. and Hare, W. and Lucet, Y.},
TITLE = {Best practices for comparing optimization algorithms},
JOURNAL = {Optim. Eng.},
FJOURNAL = {Optimization and Engineering. International Multidisciplinary
Journal to Promote Optimization Theory \& Applications in
Engineering Sciences},
VOLUME = {18},
YEAR = {2017},
NUMBER = {4},
PAGES = {815--848},
ISSN = {1389-4420},
MRCLASS = {68W40 (90-08 90C60)},
MRNUMBER = {3719098},
DOI = {10.1007/s11081-017-9366-1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11081-017-9366-1},
}
@article {MR3702936,
AUTHOR = {Hare, W.},
TITLE = {Compositions of convex functions and fully linear models},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {11},
YEAR = {2017},
NUMBER = {7},
PAGES = {1217--1227},
ISSN = {1862-4472},
MRCLASS = {90C56 (49J52 90C25)},
MRNUMBER = {3702936},
MRREVIEWER = {Minh N. Dao},
DOI = {10.1007/s11590-017-1117-x},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-017-1117-x},
}
@article {MR3681455,
AUTHOR = {Beiranvand, Vahid and Hare, Warren and Lucet, Yves and
Hossain, Shahadat},
TITLE = {Multi-haul quasi network flow model for vertical alignment
optimization},
JOURNAL = {Eng. Optim.},
FJOURNAL = {Engineering Optimization},
VOLUME = {49},
YEAR = {2017},
NUMBER = {10},
PAGES = {1777--1795},
ISSN = {0305-215X},
MRCLASS = {90B10 (90C90)},
MRNUMBER = {3681455},
DOI = {10.1080/0305215X.2016.1271880},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/0305215X.2016.1271880},
}
@article {MR3636584,
AUTHOR = {Bajaj, Anuj and Hare, Warren and Lucet, Yves},
TITLE = {Visualization of the {$\varepsilon$}-subdifferential of
piecewise linear--quadratic functions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {67},
YEAR = {2017},
NUMBER = {2},
PAGES = {421--442},
ISSN = {0926-6003},
MRCLASS = {49J52 (90C25)},
MRNUMBER = {3636584},
DOI = {10.1007/s10589-017-9892-y},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-017-9892-y},
}
@article {MR3533173,
AUTHOR = {Hare, W. and Planiden, C.},
TITLE = {Thresholds of prox-boundedness of {PLQ} functions},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {23},
YEAR = {2016},
NUMBER = {3},
PAGES = {691--718},
ISSN = {0944-6532},
MRCLASS = {49J52 (49N10)},
MRNUMBER = {3533173},
MRREVIEWER = {Jean-No\"{e}l Corvellec},
}
@article {MR3520755,
AUTHOR = {Bauschke, Heinz H. and Hare, Warren L. and Moursi, Walaa M.},
TITLE = {On the range of the {D}ouglas-{R}achford operator},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {41},
YEAR = {2016},
NUMBER = {3},
PAGES = {884--897},
ISSN = {0364-765X},
MRCLASS = {47A12 (49J52 90C25)},
MRNUMBER = {3520755},
MRREVIEWER = {Matthew K. Tam},
DOI = {10.1287/moor.2015.0759},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.2015.0759},
}
@article {MR3477367,
AUTHOR = {Hare, W. and Song, H.},
TITLE = {On the cardinality of positively linearly independent sets},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {10},
YEAR = {2016},
NUMBER = {4},
PAGES = {649--654},
ISSN = {1862-4472},
MRCLASS = {15A03 (90C27)},
MRNUMBER = {3477367},
MRREVIEWER = {Dominique Fortin},
DOI = {10.1007/s11590-015-0959-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-015-0959-3},
}
@article {MR3463152,
AUTHOR = {Hare, Warren and Williams, Brian J. and Loeppky, Jason L.},
TITLE = {Comment: the {N}o{M}ax strategy and correlated outputs [
{MR}3464148]},
JOURNAL = {Technometrics},
FJOURNAL = {Technometrics. A Journal of Statistics for the Physical,
Chemical and Engineering Sciences},
VOLUME = {58},
YEAR = {2016},
NUMBER = {1},
PAGES = {22--25},
ISSN = {0040-1706},
MRCLASS = {Expansion},
MRNUMBER = {3463152},
DOI = {10.1080/00401706.2015.1077163},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/00401706.2015.1077163},
}
@article {MR3459252,
AUTHOR = {Bigdeli, K. and Hare, W. and Nutini, J. and Tesfamariam, S.},
TITLE = {Optimizing damper connectors for adjacent buildings},
JOURNAL = {Optim. Eng.},
FJOURNAL = {Optimization and Engineering. International Multidisciplinary
Journal to Promote Optimization Theory \& Applications in
Engineering Sciences},
VOLUME = {17},
YEAR = {2016},
NUMBER = {1},
PAGES = {47--75},
ISSN = {1389-4420},
MRCLASS = {90C56 (86A15 90C26)},
MRNUMBER = {3459252},
DOI = {10.1007/s11081-015-9299-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11081-015-9299-5},
}
@article {MR3441341,
AUTHOR = {Hare, W. and Sagastiz\'{a}bal, C. and Solodov, M.},
TITLE = {A proximal bundle method for nonsmooth nonconvex functions
with inexact information},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {63},
YEAR = {2016},
NUMBER = {1},
PAGES = {1--28},
ISSN = {0926-6003},
MRCLASS = {90C26 (49J52 65K10 90C56)},
MRNUMBER = {3441341},
DOI = {10.1007/s10589-015-9762-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-015-9762-4},
}
@article {MR3401654,
AUTHOR = {Pushak, Yasha and Hare, Warren and Lucet, Yves},
TITLE = {Multiple-path selection for new highway alignments using
discrete algorithms},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {248},
YEAR = {2016},
NUMBER = {2},
PAGES = {415--427},
ISSN = {0377-2217},
MRCLASS = {90C90 (05C85 90C35)},
MRNUMBER = {3401654},
MRREVIEWER = {Laura Ciupal\u{a}},
DOI = {10.1016/j.ejor.2015.07.039},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.ejor.2015.07.039},
}
@article {MR3376056,
AUTHOR = {Mondal, Sukanto and Lucet, Yves and Hare, Warren},
TITLE = {Optimizing horizontal alignment of roads in a specified
corridor},
JOURNAL = {Comput. Oper. Res.},
FJOURNAL = {Computers \& Operations Research},
VOLUME = {64},
YEAR = {2015},
PAGES = {130--138},
ISSN = {0305-0548},
MRCLASS = {90C90 (90C56)},
MRNUMBER = {3376056},
DOI = {10.1016/j.cor.2015.05.018},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.cor.2015.05.018},
}
@article {MR3375670,
AUTHOR = {Bauschke, Heinz H. and Hare, Warren L. and Moursi, Walaa M.},
TITLE = {A derivative-free comirror algorithm for convex optimization},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {30},
YEAR = {2015},
NUMBER = {4},
PAGES = {706--726},
ISSN = {1055-6788},
MRCLASS = {90C25 (49M30 65K10 90C56)},
MRNUMBER = {3375670},
MRREVIEWER = {Vivek Laha},
DOI = {10.1080/10556788.2014.968158},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556788.2014.968158},
}
@article {MR3282278,
AUTHOR = {Hare, Warren and Lucet, Yves and Rahman, Faisal},
TITLE = {A mixed-integer linear programming model to optimize the
vertical alignment considering blocks and side-slopes in road
construction},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {241},
YEAR = {2015},
NUMBER = {3},
PAGES = {631--641},
ISSN = {0377-2217},
MRCLASS = {90C90 (90C11)},
MRNUMBER = {3282278},
DOI = {10.1016/j.ejor.2014.08.035},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.ejor.2014.08.035},
}
@article {MR3331202,
AUTHOR = {Hare, W. and Planiden, C.},
TITLE = {Parametrically prox-regular functions},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {21},
YEAR = {2014},
NUMBER = {4},
PAGES = {901--923},
ISSN = {0944-6532},
MRCLASS = {49J52 (26B25)},
MRNUMBER = {3331202},
MRREVIEWER = {J\"{o}rg Thierfelder},
}
@article {MR3274377,
AUTHOR = {Hare, W.},
TITLE = {Numerical analysis of {$\scr{VU}$}-decomposition, {$\scr
U$}-gradient, and {$\scr U$}-{H}essian approximations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {24},
YEAR = {2014},
NUMBER = {4},
PAGES = {1890--1913},
ISSN = {1052-6234},
MRCLASS = {90C56 (49K35 49M25 58C06 65K10 90C25)},
MRNUMBER = {3274377},
MRREVIEWER = {Paulo Sergio Marques dos Santos},
DOI = {10.1137/130933691},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/130933691},
}
@article {MR3181697,
AUTHOR = {Bauschke, Heinz H. and Hare, Warren L. and Moursi, Walaa M.},
TITLE = {Generalized solutions for the sum of two maximally monotone
operators},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {SIAM Journal on Control and Optimization},
VOLUME = {52},
YEAR = {2014},
NUMBER = {2},
PAGES = {1034--1047},
ISSN = {0363-0129},
MRCLASS = {47H05 (47H09 49M37 90C25 90C46)},
MRNUMBER = {3181697},
MRREVIEWER = {G\'{e}rard Lebourg},
DOI = {10.1137/130924214},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/130924214},
}
@article {MR3170572,
AUTHOR = {Hare, W. and Planiden, C.},
TITLE = {The {NC}-proximal average for multiple functions},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {8},
YEAR = {2014},
NUMBER = {3},
PAGES = {849--860},
ISSN = {1862-4472},
MRCLASS = {49J53 (47J25)},
MRNUMBER = {3170572},
MRREVIEWER = {Giorgio Giorgi},
DOI = {10.1007/s11590-013-0641-6},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-013-0641-6},
}
@article {MR3149124,
AUTHOR = {Hare, W. L. and Lucet, Y.},
TITLE = {Derivative-free optimization via proximal point methods},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {160},
YEAR = {2014},
NUMBER = {1},
PAGES = {204--220},
ISSN = {0022-3239},
MRCLASS = {90C56 (90C26)},
MRNUMBER = {3149124},
MRREVIEWER = {Olga Brezhneva},
DOI = {10.1007/s10957-013-0354-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10957-013-0354-0},
}
@article {MR3146233,
AUTHOR = {Hare, Warren and Hossain, Shahadat and Lucet, Yves and Rahman,
Faisal},
TITLE = {Models and strategies for efficiently determining an optimal
vertical alignment of roads},
JOURNAL = {Comput. Oper. Res.},
FJOURNAL = {Computers \& Operations Research},
VOLUME = {44},
YEAR = {2014},
PAGES = {161--173},
ISSN = {0305-0548},
MRCLASS = {90B10 (90C11)},
MRNUMBER = {3146233},
DOI = {10.1016/j.cor.2013.11.005},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.cor.2013.11.005},
}
@article {MR3125912,
AUTHOR = {Davis, Chad and Hare, Warren},
TITLE = {Exploiting known structures to approximate normal cones},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {38},
YEAR = {2013},
NUMBER = {4},
PAGES = {665--681},
ISSN = {0364-765X},
MRCLASS = {49J52 (90C46)},
MRNUMBER = {3125912},
MRREVIEWER = {Alberto Seeger},
DOI = {10.1287/moor.2013.0590},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.2013.0590},
}
@article {MR3073588,
AUTHOR = {Hare, W. and Nutini, J.},
TITLE = {A derivative-free approximate gradient sampling algorithm for
finite minimax problems},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {56},
YEAR = {2013},
NUMBER = {1},
PAGES = {1--38},
ISSN = {0926-6003},
MRCLASS = {90C47 (90C56)},
MRNUMBER = {3073588},
MRREVIEWER = {Joydeep Dutta},
DOI = {10.1007/s10589-013-9547-6},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-013-9547-6},
}
@article {MR3003145,
AUTHOR = {Hare, Warren and Macklem, Mason},
TITLE = {Derivative-free optimization methods for finite minimax
problems},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {28},
YEAR = {2013},
NUMBER = {2},
PAGES = {300--312},
ISSN = {1055-6788},
MRCLASS = {90C47 (90C56)},
MRNUMBER = {3003145},
MRREVIEWER = {Yunbin Zhao},
DOI = {10.1080/10556788.2011.638923},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556788.2011.638923},
}
@article {MR2935445,
AUTHOR = {Bauschke, Heinz H. and Bo\c{t}, Radu I. and Hare, Warren L. and
Moursi, Walaa M.},
TITLE = {Attouch-{T}h\'{e}ra duality revisited: paramonotonicity and
operator splitting},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {164},
YEAR = {2012},
NUMBER = {8},
PAGES = {1065--1084},
ISSN = {0021-9045},
MRCLASS = {47H05 (41A50 49N15)},
MRNUMBER = {2935445},
MRREVIEWER = {Shoham Sabach},
DOI = {10.1016/j.jat.2012.05.008},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jat.2012.05.008},
}
@article {MR2861336,
AUTHOR = {Goebel, Rafal and Hare, Warren and Wang, Xianfu},
TITLE = {The optimal value and optimal solutions of the proximal
average of convex functions},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
VOLUME = {75},
YEAR = {2012},
NUMBER = {3},
PAGES = {1290--1304},
ISSN = {0362-546X},
MRCLASS = {49J53 (49K40 90C25)},
MRNUMBER = {2861336},
MRREVIEWER = {Julian Revalski},
DOI = {10.1016/j.na.2011.06.017},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.na.2011.06.017},
}
@incollection {MR2858841,
AUTHOR = {Hare, W. L.},
TITLE = {Identifying active manifolds in regularization problems},
BOOKTITLE = {Fixed-point algorithms for inverse problems in science and
engineering},
SERIES = {Springer Optim. Appl.},
VOLUME = {49},
PAGES = {261--271},
PUBLISHER = {Springer, New York},
YEAR = {2011},
MRCLASS = {49K40 (65J20 65K10 90C53)},
MRNUMBER = {2858841},
DOI = {10.1007/978-1-4419-9569-8_13},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-9569-8_13},
}
@article {MR2826498,
AUTHOR = {Hare, Warren L. and Koch, Valentin R. and Lucet, Yves},
TITLE = {Models and algorithms to improve earthwork operations in road
design using mixed integer linear programming},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {215},
YEAR = {2011},
NUMBER = {2},
PAGES = {470--480},
ISSN = {0377-2217},
MRCLASS = {90C90 (90C11)},
MRNUMBER = {2826498},
DOI = {10.1016/j.ejor.2011.06.011},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.ejor.2011.06.011},
}
@article {MR2678400,
AUTHOR = {Hare, Warren and Sagastiz\'{a}bal, Claudia},
TITLE = {A redistributed proximal bundle method for nonconvex
optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {20},
YEAR = {2010},
NUMBER = {5},
PAGES = {2442--2473},
ISSN = {1052-6234},
MRCLASS = {90C26 (49J52 65K10 90C56)},
MRNUMBER = {2678400},
MRREVIEWER = {Marko M. M\"{a}kel\"{a}},
DOI = {10.1137/090754595},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/090754595},
}
@article {MR2600892,
AUTHOR = {Hare, W. L. and Liu, M. J. J. and Terlaky, T.},
TITLE = {Efficient preprocessing for {VLSI} optimization problems},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {45},
YEAR = {2010},
NUMBER = {3},
PAGES = {475--493},
ISSN = {0926-6003},
MRCLASS = {90C90 (90C05)},
MRNUMBER = {2600892},
DOI = {10.1007/s10589-008-9175-8},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-008-9175-8},
}
@article {MR2515790,
AUTHOR = {Hare, W. L.},
TITLE = {A proximal average for nonconvex functions: a proximal
stability perspective},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {20},
YEAR = {2009},
NUMBER = {2},
PAGES = {650--666},
ISSN = {1052-6234},
MRCLASS = {26B25 (58C06 90C31)},
MRNUMBER = {2515790},
MRREVIEWER = {Alberto Seeger},
DOI = {10.1137/07070913X},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/07070913X},
}
@article {MR2506254,
AUTHOR = {Hare, W. L.},
TITLE = {A proximal method for identifying active manifolds},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {43},
YEAR = {2009},
NUMBER = {2},
PAGES = {295--306},
ISSN = {0926-6003},
MRCLASS = {90C30 (90C26)},
MRNUMBER = {2506254},
MRREVIEWER = {Jan-J. R\"{u}ckmann},
DOI = {10.1007/s10589-007-9139-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-007-9139-4},
}
@article {MR2421280,
AUTHOR = {Hare, Warren and Sagastiz\'{a}bal, Claudia},
TITLE = {Computing proximal points of nonconvex functions},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {116},
YEAR = {2009},
NUMBER = {1-2, Ser. B},
PAGES = {221--258},
ISSN = {0025-5610},
MRCLASS = {49J52 (90C26)},
MRNUMBER = {2421280},
MRREVIEWER = {Shawn Xianfu Wang},
DOI = {10.1007/s10107-007-0124-6},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-007-0124-6},
}
@article {MR2341305,
AUTHOR = {Hare, W. L. and Poliquin, R. A.},
TITLE = {Prox-regularity and stability of the proximal mapping},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {14},
YEAR = {2007},
NUMBER = {3},
PAGES = {589--606},
ISSN = {0944-6532},
MRCLASS = {49J53 (49K40)},
MRNUMBER = {2341305},
MRREVIEWER = {Fredi Tr\"{o}ltzsch},
}
@article {MR2338356,
AUTHOR = {Hare, W. L. and Lewis, A. S.},
TITLE = {Identifying active manifolds},
JOURNAL = {Algorithmic Oper. Res.},
FJOURNAL = {Algorithmic Operations Research},
VOLUME = {2},
YEAR = {2007},
NUMBER = {2},
PAGES = {75--82},
ISSN = {1718-3235},
MRCLASS = {49J53 (49J52 90C53)},
MRNUMBER = {2338356},
}
@article {MR2274921,
AUTHOR = {Daniilidis, Aris and Hare, Warren and Malick, J\'{e}r\^{o}me},
TITLE = {Geometrical interpretation of the predictor-corrector type
algorithms in structured optimization problems},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {55},
YEAR = {2006},
NUMBER = {5-6},
PAGES = {481--503},
ISSN = {0233-1934},
MRCLASS = {90C30 (49J52 90C55)},
MRNUMBER = {2274921},
MRREVIEWER = {Adam B. Levy},
DOI = {10.1080/02331930600815884},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/02331930600815884},
}
@article {MR2265754,
AUTHOR = {Hare, Warren and Sagastiz\'{a}bal, Claudia},
TITLE = {Benchmark of some nonsmooth optimization solvers for computing
nonconvex proximal points},
JOURNAL = {Pac. J. Optim.},
FJOURNAL = {Pacific Journal of Optimization. An International Journal},
VOLUME = {2},
YEAR = {2006},
NUMBER = {3},
PAGES = {545--573},
ISSN = {1348-9151},
MRCLASS = {90C26 (90C30)},
MRNUMBER = {2265754},
}
@article {MR2208819,
AUTHOR = {Hare, W. L.},
TITLE = {Functions and sets of smooth substructure: relationships and
examples},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {33},
YEAR = {2006},
NUMBER = {2-3},
PAGES = {249--270},
ISSN = {0926-6003},
MRCLASS = {49J52 (90C46)},
MRNUMBER = {2208819},
MRREVIEWER = {Phan Qu\cfac{o}c Kh\'{a}nh},
DOI = {10.1007/s10589-005-3059-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-005-3059-4},
}
@article {MR2185815,
AUTHOR = {Hare, W. L. and Lewis, A. S.},
TITLE = {Estimating tangent and normal cones without calculus},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {30},
YEAR = {2005},
NUMBER = {4},
PAGES = {785--799},
ISSN = {0364-765X},
MRCLASS = {49J52 (90C46)},
MRNUMBER = {2185815},
DOI = {10.1287/moor.1050.0163},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.1050.0163},
}
@book {MR2707417,
AUTHOR = {Hare, Warren L.},
TITLE = {Nonsmooth optimization with smooth substructure},
NOTE = {Thesis (Ph.D.)--Simon Fraser University (Canada)},
PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
YEAR = {2004},
PAGES = {12},
ISBN = {978-0494-03126-1},
MRCLASS = {Thesis},
MRNUMBER = {2707417},
URL =
{http://gateway.proquest.com.proxy.lib.uwaterloo.ca/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:NR03126},
}
@article {MR2158904,
AUTHOR = {Hare, W. L. and Lewis, A. S.},
TITLE = {Identifying active constraints via partial smoothness and
prox-regularity},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {11},
YEAR = {2004},
NUMBER = {2},
PAGES = {251--266},
ISSN = {0944-6532},
MRCLASS = {90C30 (49K40 65K10)},
MRNUMBER = {2158904},
MRREVIEWER = {Adam B. Levy},
}
@inproceedings {MR1970723,
AUTHOR = {Hare, W. L. and Poliquin, R. A.},
TITLE = {The quadratic sub-{L}agrangian of a prox-regular function},
BOOKTITLE = {Proceedings of the {T}hird {W}orld {C}ongress of {N}onlinear
{A}nalysts, {P}art 2 ({C}atania, 2000)},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
VOLUME = {47},
YEAR = {2001},
NUMBER = {2},
PAGES = {1117--1128},
ISSN = {0362-546X},
MRCLASS = {49J52 (90C46)},
MRNUMBER = {1970723},
DOI = {10.1016/S0362-546X(01)00251-6},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0362-546X(01)00251-6},
}
.heinz.bib 0000640 0010230 0010230 00000174465 14320642017 013552 0 ustar hwolkowi hwolkowicz ### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
###########
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
@article {MR4455155,
AUTHOR = {Bauschke, Heinz H. and Krishan Lal, Manish and Wang, Xianfu},
TITLE = {The projection onto the cross},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis. Theory and Applications},
VOLUME = {30},
YEAR = {2022},
NUMBER = {3},
PAGES = {997--1009},
ISSN = {1877-0533},
MRCLASS = {90C26 (41A50 46C05 90C33 90C48)},
MRNUMBER = {4455155},
DOI = {10.1007/s11228-022-00630-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-022-00630-7},
}
@article {MR4438723,
AUTHOR = {Wang, Xianfu and Bauschke, Heinz H.},
TITLE = {The {B}regman proximal average},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {32},
YEAR = {2022},
NUMBER = {2},
PAGES = {1379--1401},
ISSN = {1052-6234},
MRCLASS = {49J53 (47H05 49J52 52A01 90C26)},
MRNUMBER = {4438723},
DOI = {10.1137/21M1442474},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/21M1442474},
}
@article {MR4415188,
AUTHOR = {Bauschke, Heinz H. and DiBerardino, Peter A. V.},
TITLE = {Minimal angle spread in the probability simplex with respect
to the uniform distribution},
JOURNAL = {J. Nonsmooth Anal. Optim.},
FJOURNAL = {Journal of Nonsmooth Analysis and Optimization},
VOLUME = {3},
YEAR = {2022},
PAGES = {Paper No. 7492, 10},
MRCLASS = {52B55},
MRNUMBER = {4415188},
DOI = {10.1086/286395},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1086/286395},
}
@article {MR4359472,
AUTHOR = {Bauschke, Heinz H. and Singh, Shambhavi and Wang, Xianfu},
TITLE = {Finding best approximation pairs for two intersections of
closed convex sets},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {81},
YEAR = {2022},
NUMBER = {1},
PAGES = {289--308},
ISSN = {0926-6003},
MRCLASS = {65K05 (47H09 65K10 90C25)},
MRNUMBER = {4359472},
DOI = {10.1007/s10589-021-00324-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-021-00324-0},
}
@article {MR4409552,
AUTHOR = {Alwadani, Salihah and Bauschke, Heinz H. and Revalski, Julian
P. and Wang, Xianfu},
TITLE = {The difference vectors for convex sets and a resolution of the
geometry conjecture},
JOURNAL = {Open J. Math. Optim.},
FJOURNAL = {Open Journal of Mathematical Optimization (OJMO)},
VOLUME = {2},
YEAR = {2021},
PAGES = {Art. No. 5, 18},
MRCLASS = {47N10 (47H05 49J53 49N15)},
MRNUMBER = {4409552},
DOI = {10.5802/ojmo.7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.5802/ojmo.7},
}
@article {MR4352914,
AUTHOR = {Alwadani, Salihah T. and Bauschke, Heinz H. and Wang, Xianfu},
TITLE = {Fixed points of compositions of nonexpansive mappings:
finitely many linear reflectors},
JOURNAL = {Pure Appl. Funct. Anal.},
FJOURNAL = {Pure and Applied Functional Analysis},
VOLUME = {6},
YEAR = {2021},
NUMBER = {6},
PAGES = {1071--1080},
ISSN = {2189-3756},
MRCLASS = {47H09 (47H10 90C25 90C48)},
MRNUMBER = {4352914},
}
@article {MR4348135,
AUTHOR = {Bauschke, Heinz H. and Singh, Shambhavi and Wang, Xianfu},
TITLE = {Projecting onto rectangular matrices with prescribed row and
column sums},
JOURNAL = {Fixed Point Theory Algorithms Sci. Eng.},
FJOURNAL = {Fixed Point Theory and Algorithms for Sciences and
Engineering},
YEAR = {2021},
PAGES = {Paper No. 23, 20},
MRCLASS = {47N10 (15A10 15B51 47B10 90C25 90C48)},
MRNUMBER = {4348135},
DOI = {10.1186/s13663-021-00708-1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1186/s13663-021-00708-1},
}
@article {MR4335042,
AUTHOR = {Bauschke, Heinz H. and Gretchko, Sylvain and Moursi, Walaa M.
and Saurette, Matthew},
TITLE = {Edelstein's astonishing affine isometry},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {American Mathematical Monthly},
VOLUME = {128},
YEAR = {2021},
NUMBER = {9},
PAGES = {796--809},
ISSN = {0002-9890},
MRCLASS = {47H09 (47H05 90C25)},
MRNUMBER = {4335042},
DOI = {10.1080/00029890.2021.1962151},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/00029890.2021.1962151},
}
@article {MR2403060,
AUTHOR = {Bauschke, Heinz H. and Lucet, Yves and Trienis, Michael},
TITLE = {How to transform one convex function continuously into
another},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review},
VOLUME = {50},
YEAR = {2008},
NUMBER = {1},
PAGES = {115--132},
ISSN = {0036-1445},
MRCLASS = {90C25 (26A51)},
MRNUMBER = {2403060},
MRREVIEWER = {Ion Cojocaru},
DOI = {10.1137/060664513},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/060664513},
}
@article {MR4306066,
AUTHOR = {Bauschke, Heinz H. and Moursi, Walaa M. and Wang, Xianfu},
TITLE = {Generalized monotone operators and their averaged resolvents},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {189},
YEAR = {2021},
NUMBER = {1-2, Ser. B},
PAGES = {55--74},
ISSN = {0025-5610},
MRCLASS = {47H05 (47H09 49N15 90C25)},
MRNUMBER = {4306066},
MRREVIEWER = {Mohsen Rahimi Piranfar},
DOI = {10.1007/s10107-020-01500-6},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-020-01500-6},
}
@article {MR4295330,
AUTHOR = {Alwadani, Salihah and Bauschke, Heinz H. and Revalski, Julian
P. and Wang, Xianfu},
TITLE = {Resolvents and {Y}osida approximations of displacement
mappings of isometries},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis. Theory and Applications},
VOLUME = {29},
YEAR = {2021},
NUMBER = {3},
PAGES = {721--733},
ISSN = {1877-0533},
MRCLASS = {47H05 (47H09 90C25 90C48)},
MRNUMBER = {4295330},
DOI = {10.1007/s11228-021-00584-2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-021-00584-2},
}
@article {MR4292312,
AUTHOR = {Alwadani, Salihah and Bauschke, Heinz and Wang, Xianfu},
TITLE = {Attouch-{T}h\'{e}ra duality, generalized cycles, and gap vectors},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {31},
YEAR = {2021},
NUMBER = {3},
PAGES = {1926--1946},
ISSN = {1052-6234},
MRCLASS = {47N10 (47A06 47H05 47H09 47J25 49J53 90C25 90C48)},
MRNUMBER = {4292312},
DOI = {10.1137/21M1392085},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/21M1392085},
}
@article {MR4247035,
AUTHOR = {Bauschke, Heinz H. and Ouyang, Hui and Wang, Xianfu},
TITLE = {On angles between convex sets in {H}ilbert spaces},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {502},
YEAR = {2021},
NUMBER = {1},
PAGES = {Paper No. 125239, 19},
ISSN = {0022-247X},
MRCLASS = {46C05 (46N10 52A20)},
MRNUMBER = {4247035},
MRREVIEWER = {Jittisak Rakbud},
DOI = {10.1016/j.jmaa.2021.125239},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jmaa.2021.125239},
}
@article {MR4246752,
AUTHOR = {Bauschke, Heinz H. and Ouyang, Hui and Wang, Xianfu},
TITLE = {On circumcenter mappings induced by nonexpansive operators},
JOURNAL = {Pure Appl. Funct. Anal.},
FJOURNAL = {Pure and Applied Functional Analysis},
VOLUME = {6},
YEAR = {2021},
NUMBER = {2},
PAGES = {257--288},
ISSN = {2189-3756},
MRCLASS = {47H09 (47H04 47H10 90C25 90C48)},
MRNUMBER = {4246752},
}
@article {MR4242592,
AUTHOR = {Bauschke, Heinz H. and Ouyang, Hui and Wang, Xianfu},
TITLE = {On the linear convergence of circumcentered isometry methods},
JOURNAL = {Numer. Algorithms},
FJOURNAL = {Numerical Algorithms},
VOLUME = {87},
YEAR = {2021},
NUMBER = {1},
PAGES = {263--297},
ISSN = {1017-1398},
MRCLASS = {47J25 (41A50 47N10 65B99 90C25)},
MRNUMBER = {4242592},
DOI = {10.1007/s11075-020-00966-x},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11075-020-00966-x},
}
@article {MR4201718,
AUTHOR = {Bartz, Sedi and Bauschke, Heinz H. and Phan, Hung M. and Wang,
Xianfu},
TITLE = {Multi-marginal maximal monotonicity and convex analysis},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {185},
YEAR = {2021},
NUMBER = {1-2, Ser. A},
PAGES = {385--408},
ISSN = {0025-5610},
MRCLASS = {49Q22 (26B25 47H05 49N15 52A01)},
MRNUMBER = {4201718},
MRREVIEWER = {Paul Manns},
DOI = {10.1007/s10107-019-01433-9},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-019-01433-9},
}
@article {MR4179953,
AUTHOR = {Bauschke, Heinz H. and Moursi, Walaa M.},
TITLE = {On the minimal displacement vector of compositions and convex
combinations of nonexpansive mappings},
JOURNAL = {Found. Comput. Math.},
FJOURNAL = {Foundations of Computational Mathematics. The Journal of the
Society for the Foundations of Computational Mathematics},
VOLUME = {20},
YEAR = {2020},
NUMBER = {6},
PAGES = {1653--1666},
ISSN = {1615-3375},
MRCLASS = {47H05 (47H09 47H10 49J40 90C25 90C48)},
MRNUMBER = {4179953},
MRREVIEWER = {Omar Mu\~{n}iz-P\'{e}rez},
DOI = {10.1007/s10208-020-09449-w},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10208-020-09449-w},
}
@article {MR4163596,
AUTHOR = {Bauschke, Heinz H. and Burachik, Regina S. and Herman, Daniel
B. and Kaya, C. Yal\c{c}\i n},
TITLE = {On {D}ykstra's algorithm: finite convergence, stalling, and
the method of alternating projections},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {14},
YEAR = {2020},
NUMBER = {8},
PAGES = {1975--1987},
ISSN = {1862-4472},
MRCLASS = {47N10 (47N40 90C25 90C48)},
MRNUMBER = {4163596},
MRREVIEWER = {Ian Raymond Doust},
DOI = {10.1007/s11590-020-01600-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-020-01600-4},
}
@article {MR4163549,
AUTHOR = {Bauschke, Heinz H. and Bui, Minh N. and Wang, Xianfu},
TITLE = {Applying {FISTA} to optimization problems (with or) without
minimizers},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {184},
YEAR = {2020},
NUMBER = {1-2, Ser. A},
PAGES = {349--381},
ISSN = {0025-5610},
MRCLASS = {90C25 (65K05 90C48)},
MRNUMBER = {4163549},
MRREVIEWER = {Ching-pei Lee},
DOI = {10.1007/s10107-019-01415-x},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-019-01415-x},
}
@article {MR4158592,
AUTHOR = {Bauschke, Heinz H. and Lindstrom, Scott B.},
TITLE = {Proximal averages for minimization of entropy functionals},
JOURNAL = {Pure Appl. Funct. Anal.},
FJOURNAL = {Pure and Applied Functional Analysis},
VOLUME = {5},
YEAR = {2020},
NUMBER = {3},
PAGES = {505--531},
ISSN = {2189-3756},
MRCLASS = {49J53 (65D20 90C25)},
MRNUMBER = {4158592},
MRREVIEWER = {Emilio Vilches},
}
@article {MR4152679,
AUTHOR = {Bauschke, Heinz H. and Moursi, Walaa M.},
TITLE = {On the behavior of the {D}ouglas-{R}achford algorithm for
minimizing a convex function subject to a linear constraint},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {30},
YEAR = {2020},
NUMBER = {3},
PAGES = {2559--2576},
ISSN = {1052-6234},
MRCLASS = {90C25 (47H14 49M27 49M29 65K10 90C48)},
MRNUMBER = {4152679},
MRREVIEWER = {Qiao-Li Dong},
DOI = {10.1137/19M1281538},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/19M1281538},
}
@article {MR4134187,
AUTHOR = {Bauschke, Heinz H. and Ouyang, Hui and Wang, Xianfu},
TITLE = {Circumcentered methods induced by isometries},
JOURNAL = {Vietnam J. Math.},
FJOURNAL = {Vietnam Journal of Mathematics},
VOLUME = {48},
YEAR = {2020},
NUMBER = {3},
PAGES = {471--508},
ISSN = {2305-221X},
MRCLASS = {65J05 (41A50 47H09 65K05 65K10 90C25 90C48)},
MRNUMBER = {4134187},
DOI = {10.1007/s10013-020-00417-z},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10013-020-00417-z},
}
@article {MR4078087,
AUTHOR = {Bauschke, Heinz H. and Moursi, Walaa M. and Wang, Xianfu},
TITLE = {Maximally monotone operators with ranges whose closures are
not convex and an answer to a recent question by {S}tephen
{S}imons},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {148},
YEAR = {2020},
NUMBER = {5},
PAGES = {2035--2044},
ISSN = {0002-9939},
MRCLASS = {47H05 (46B20 47A05)},
MRNUMBER = {4078087},
MRREVIEWER = {Omar Mu\~{n}iz-P\'{e}rez},
DOI = {10.1090/proc/14859},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/proc/14859},
}
@article {MR3982150,
AUTHOR = {Bauschke, Heinz H. and Bolte, J\'{e}r\^{o}me and Chen, Jiawei and
Teboulle, Marc and Wang, Xianfu},
TITLE = {On linear convergence of non-{E}uclidean gradient methods
without strong convexity and {L}ipschitz gradient continuity},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {182},
YEAR = {2019},
NUMBER = {3},
PAGES = {1068--1087},
ISSN = {0022-3239},
MRCLASS = {65K05 (65K10 90C26 90C30)},
MRNUMBER = {3982150},
DOI = {10.1007/s10957-019-01516-9},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10957-019-01516-9},
}
@incollection {MR3971969,
AUTHOR = {Bauschke, Heinz H. and Gretchko, Sylvain and Moursi, Walaa M.},
TITLE = {Numerical explorations of feasibility algorithms for finding
points in the intersection of finite sets},
BOOKTITLE = {Splitting algorithms, modern operator theory, and
applications},
PAGES = {69--90},
PUBLISHER = {Springer, Cham},
YEAR = {[2019] \copyright 2019},
MRCLASS = {49M20 (49M27 49M37 65K10)},
MRNUMBER = {3971969},
}
@incollection {MR3971968,
AUTHOR = {Bauschke, Heinz H. and Burachik, Regina S. and Kaya, C.
Yal\c{c}in},
TITLE = {Constraint splitting and projection methods for optimal
control of double integrator},
BOOKTITLE = {Splitting algorithms, modern operator theory, and
applications},
PAGES = {45--68},
PUBLISHER = {Springer, Cham},
YEAR = {[2019] \copyright 2019},
MRCLASS = {49M27 (49J15 49N10)},
MRNUMBER = {3971968},
MRREVIEWER = {Thomas Haberkorn},
}
@article {MR3943616,
AUTHOR = {Bauschke, Heinz H. and Dao, Minh N. and Lindstrom, Scott B.},
TITLE = {The {D}ouglas-{R}achford algorithm for a hyperplane and a
doubleton},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {74},
YEAR = {2019},
NUMBER = {1},
PAGES = {79--93},
ISSN = {0925-5001},
MRCLASS = {49M27 (47J25 65K05 65K10 90C26)},
MRNUMBER = {3943616},
MRREVIEWER = {Aviv Gibali},
DOI = {10.1007/s10898-019-00744-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-019-00744-7},
}
@article {MR3922165,
AUTHOR = {Bauschke, Heinz H. and Bui, Minh N. and Wang, Xianfu},
TITLE = {On sums and convex combinations of projectors onto convex
sets},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {242},
YEAR = {2019},
PAGES = {31--57},
ISSN = {0021-9045},
MRCLASS = {47H05 (46A32 47H09 47L07 52A05 52A41 90C25)},
MRNUMBER = {3922165},
MRREVIEWER = {Radu Ioan Bo\c{t}},
DOI = {10.1016/j.jat.2019.02.001},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jat.2019.02.001},
}
@article {MR3914677,
AUTHOR = {Bauschke, Heinz H. and Ouyang, Hui and Wang, Xianfu},
TITLE = {On circumcenters of finite sets in {H}ilbert spaces},
JOURNAL = {Linear Nonlinear Anal.},
FJOURNAL = {Linear and Nonlinear Analysis. An International Journal},
VOLUME = {4},
YEAR = {2018},
NUMBER = {2},
PAGES = {271--295},
ISSN = {2188-8159},
MRCLASS = {51N20 (41A65 90C25)},
MRNUMBER = {3914677},
}
@article {MR3881951,
AUTHOR = {Bauschke, Heinz H. and Wang, Caifang and Wang, Xianfu and Xu,
Jia},
TITLE = {Subgradient projectors: extensions, theory, and
characterizations},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis. Theory and Applications},
VOLUME = {26},
YEAR = {2018},
NUMBER = {4},
PAGES = {1009--1078},
ISSN = {1877-0533},
MRCLASS = {49J52 (47H04 47H05 47H09 49J53)},
MRNUMBER = {3881951},
MRREVIEWER = {Nicolas Hadjisavvas},
DOI = {10.1007/s11228-017-0415-x},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-017-0415-x},
}
@article {MR3880263,
AUTHOR = {Bauschke, Heinz H. and Dao, Minh N. and Lindstrom, Scott B.},
TITLE = {Regularizing with {B}regman-{M}oreau envelopes},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {28},
YEAR = {2018},
NUMBER = {4},
PAGES = {3208--3228},
ISSN = {1052-6234},
MRCLASS = {90C25 (26A51 26B25 47H05 47H09)},
MRNUMBER = {3880263},
MRREVIEWER = {Yekini Shehu},
DOI = {10.1137/17M1130745},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/17M1130745},
}
@article {MR3873881,
AUTHOR = {Alwadani, Salihah and Bauschke, Heinz H. and Moursi, Walaa M.
and Wang, Xianfu},
TITLE = {On the asymptotic behaviour of the {A}rag\'{o}n {A}rtacho-{C}ampoy
algorithm},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {46},
YEAR = {2018},
NUMBER = {6},
PAGES = {585--587},
ISSN = {0167-6377},
MRCLASS = {47J25 (47H10 90C25)},
MRNUMBER = {3873881},
MRREVIEWER = {Chayne Planiden},
DOI = {10.1016/j.orl.2018.10.003},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.orl.2018.10.003},
}
@article {MR3857014,
AUTHOR = {Bauschke, Heinz H. and Moursi, Walaa M.},
TITLE = {The magnitude of the minimal displacement vector for
compositions and convex combinations of firmly nonexpansive
mappings},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {12},
YEAR = {2018},
NUMBER = {7},
PAGES = {1465--1474},
ISSN = {1862-4472},
MRCLASS = {47H09},
MRNUMBER = {3857014},
DOI = {10.1007/s11590-018-1259-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-018-1259-5},
}
@article {MR3835600,
AUTHOR = {Bauschke, Heinz H. and Bui, Minh N. and Wang, Xianfu},
TITLE = {Projecting onto the intersection of a cone and a sphere},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {28},
YEAR = {2018},
NUMBER = {3},
PAGES = {2158--2188},
ISSN = {1052-6234},
MRCLASS = {47H09 (15B48 47H04 47J25 52A05 90C25 90C26)},
MRNUMBER = {3835600},
MRREVIEWER = {Nicolas Hadjisavvas},
DOI = {10.1137/17M1141849},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/17M1141849},
}
@article {MR3803979,
AUTHOR = {Bauschke, Heinz H. and Mordukhovich, Boris S. and
Sagastiz\'{a}bal, Claudia S. and Th\'{e}ra, Michel A.},
TITLE = {Preface [{A} tribute to {J}onathan {B}orwein ({P}art 2)]},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis. Theory and Applications},
VOLUME = {26},
YEAR = {2018},
NUMBER = {2},
PAGES = {205--206},
ISSN = {1877-0533},
MRCLASS = {49-06},
MRNUMBER = {3803979},
DOI = {10.1007/s11228-018-0484-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-018-0484-5},
}
@article {MR3767740,
AUTHOR = {Bauschke, Heinz H. and Schaad, Jason and Wang, Xianfu},
TITLE = {On {D}ouglas-{R}achford operators that fail to be proximal
mappings},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {168},
YEAR = {2018},
NUMBER = {1-2, Ser. B},
PAGES = {55--61},
ISSN = {0025-5610},
MRCLASS = {47H09 (47H05 90C25)},
MRNUMBER = {3767740},
MRREVIEWER = {Matthew K. Tam},
DOI = {10.1007/s10107-016-1076-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-016-1076-5},
}
@article {MR3759544,
AUTHOR = {Bartz, Sedi and Bauschke, Heinz H. and Wang, Xianfu},
TITLE = {A class of multi-marginal {$c$}-cyclically monotone sets with
explicit {$c$}-splitting potentials},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {461},
YEAR = {2018},
NUMBER = {1},
PAGES = {333--348},
ISSN = {0022-247X},
MRCLASS = {49Q20},
MRNUMBER = {3759544},
MRREVIEWER = {Erik J. Balder},
DOI = {10.1016/j.jmaa.2018.01.015},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jmaa.2018.01.015},
}
@article {MR3743764,
AUTHOR = {Bauschke, Heinz and Burachik, Regina and Huynh Van Ngai and
Hoang Xuan Phu},
TITLE = {Preface: {S}pecial issue on recent progress in optimization
and variational analysis for applications dedicated to
{M}ichel {T}h\'{e}ra's 70th birthday},
JOURNAL = {Vietnam J. Math.},
FJOURNAL = {Vietnam Journal of Mathematics},
VOLUME = {46},
YEAR = {2018},
NUMBER = {1},
PAGES = {1--3},
ISSN = {2305-221X},
MRCLASS = {49-06 (90-06)},
MRNUMBER = {3743764},
DOI = {10.1007/s10013-017-0269-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10013-017-0269-4},
}
@article {MR3694874,
AUTHOR = {Bauschke, Heinz H. and Lukens, Brett and Moursi, Walaa M.},
TITLE = {Affine nonexpansive operators, {A}ttouch-{T}h\'{e}ra duality and
the {D}ouglas-{R}achford algorithm},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis. Theory and Applications},
VOLUME = {25},
YEAR = {2017},
NUMBER = {3},
PAGES = {481--505},
ISSN = {1877-0533},
MRCLASS = {47H05 (47H09 49M27 49M29 49N15 90C25)},
MRNUMBER = {3694874},
MRREVIEWER = {Minh N. Dao},
DOI = {10.1007/s11228-016-0399-y},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-016-0399-y},
}
@article {MR3661032,
AUTHOR = {Bauschke, Heinz H. and Moursi, Walaa M.},
TITLE = {On the {D}ouglas-{R}achford algorithm},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {164},
YEAR = {2017},
NUMBER = {1-2, Ser. A},
PAGES = {263--284},
ISSN = {0025-5610},
MRCLASS = {47H05 (47H09 47J25 49N15 90C25)},
MRNUMBER = {3661032},
MRREVIEWER = {Radu Ioan Bo\c{t}},
DOI = {10.1007/s10107-016-1086-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-016-1086-3},
}
@article {MR3651994,
AUTHOR = {Bauschke, Heinz H. and Bolte, J\'{e}r\^{o}me and Teboulle, Marc},
TITLE = {A descent lemma beyond {L}ipschitz gradient continuity:
first-order methods revisited and applications},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {42},
YEAR = {2017},
NUMBER = {2},
PAGES = {330--348},
ISSN = {0364-765X},
MRCLASS = {90C25 (49M20 65K10)},
MRNUMBER = {3651994},
MRREVIEWER = {Yekini Shehu},
DOI = {10.1287/moor.2016.0817},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.2016.0817},
}
@article {MR3628318,
AUTHOR = {Bauschke, Heinz H. and Dao, Minh N.},
TITLE = {On the finite convergence of the {D}ouglas-{R}achford
algorithm for solving (not necessarily convex) feasibility
problems in {E}uclidean spaces},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {27},
YEAR = {2017},
NUMBER = {1},
PAGES = {507--537},
ISSN = {1052-6234},
MRCLASS = {90C25 (47H09 49M27 65K10)},
MRNUMBER = {3628318},
MRREVIEWER = {Matthew K. Tam},
DOI = {10.1137/16M1071079},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/16M1071079},
}
@article {MR3623701,
AUTHOR = {Bartz, Sedi and Bauschke, Heinz H. and Wang, Xianfu},
TITLE = {The resolvent order: a unification of the orders by
{Z}arantonello, by {L}oewner, and by {M}oreau},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {27},
YEAR = {2017},
NUMBER = {1},
PAGES = {466--477},
ISSN = {1052-6234},
MRCLASS = {47H05 (06A06 15B57 26B25 47H09 47L07 52A41 90C25)},
MRNUMBER = {3623701},
MRREVIEWER = {Radu Ioan Bo\c{t}},
DOI = {10.1137/16M1082172},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/16M1082172},
}
@book {MR3616647,
AUTHOR = {Bauschke, Heinz H. and Combettes, Patrick L.},
TITLE = {Convex analysis and monotone operator theory in {H}ilbert
spaces},
SERIES = {CMS Books in Mathematics/Ouvrages de Math\'{e}matiques de la SMC},
EDITION = {Second},
NOTE = {With a foreword by H\'{e}dy Attouch},
PUBLISHER = {Springer, Cham},
YEAR = {2017},
PAGES = {xix+619},
ISBN = {978-3-319-48310-8; 978-3-319-48311-5},
MRCLASS = {49-02 (41A65 46B20 46C05 47H05 90C25)},
MRNUMBER = {3616647},
DOI = {10.1007/978-3-319-48311-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-319-48311-5},
}
@article {MR3539531,
AUTHOR = {Bauschke, Heinz H. and Bello Cruz, J. Y. and Nghia, Tran T. A.
and Phan, Hung M. and Wang, Xianfu},
TITLE = {Optimal rates of linear convergence of relaxed alternating
projections and generalized {D}ouglas-{R}achford methods for
two subspaces},
JOURNAL = {Numer. Algorithms},
FJOURNAL = {Numerical Algorithms},
VOLUME = {73},
YEAR = {2016},
NUMBER = {1},
PAGES = {33--76},
ISSN = {1017-1398},
MRCLASS = {65F10 (15A18 65B05 65F15 65K05 90C25)},
MRNUMBER = {3539531},
MRREVIEWER = {Ninoslav Truhar},
DOI = {10.1007/s11075-015-0085-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11075-015-0085-4},
}
@article {MR3527941,
AUTHOR = {Bauschke, Heinz H. and Lucet, Yves and Phan, Hung M.},
TITLE = {On the convexity of piecewise-defined functions},
JOURNAL = {ESAIM Control Optim. Calc. Var.},
FJOURNAL = {ESAIM. Control, Optimisation and Calculus of Variations},
VOLUME = {22},
YEAR = {2016},
NUMBER = {3},
PAGES = {728--742},
ISSN = {1292-8119},
MRCLASS = {26B25 (52A41 65D07 90C25)},
MRNUMBER = {3527941},
MRREVIEWER = {P\'{a}l Burai},
DOI = {10.1051/cocv/2015023},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1051/cocv/2015023},
}
@article {MR3520755,
AUTHOR = {Bauschke, Heinz H. and Hare, Warren L. and Moursi, Walaa M.},
TITLE = {On the range of the {D}ouglas-{R}achford operator},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {41},
YEAR = {2016},
NUMBER = {3},
PAGES = {884--897},
ISSN = {0364-765X},
MRCLASS = {47A12 (49J52 90C25)},
MRNUMBER = {3520755},
MRREVIEWER = {Matthew K. Tam},
DOI = {10.1287/moor.2015.0759},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.2015.0759},
}
@article {MR3510222,
AUTHOR = {Bauschke, Heinz H. and Dao, Minh N. and Noll, Dominikus and
Phan, Hung M.},
TITLE = {Proximal point algorithm, {D}ouglas-{R}achford algorithm and
alternating projections: a case study},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {23},
YEAR = {2016},
NUMBER = {1},
PAGES = {237--261},
ISSN = {0944-6532},
MRCLASS = {65K05 (47J25 65J15 90C25)},
MRNUMBER = {3510222},
MRREVIEWER = {Radu Ioan Bo\c{t}},
}
@article {MR3506289,
AUTHOR = {Bauschke, Heinz H. and Douglas, Graeme R. and Moursi, Walaa
M.},
TITLE = {On a result of {P}azy concerning the asymptotic behaviour of
nonexpansive mappings},
JOURNAL = {J. Fixed Point Theory Appl.},
FJOURNAL = {Journal of Fixed Point Theory and Applications},
VOLUME = {18},
YEAR = {2016},
NUMBER = {2},
PAGES = {297--307},
ISSN = {1661-7738},
MRCLASS = {47H09 (90C25)},
MRNUMBER = {3506289},
MRREVIEWER = {Behzad Djafari-Rouhani},
DOI = {10.1007/s11784-015-0278-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11784-015-0278-4},
}
@article {MR3503118,
AUTHOR = {Bauschke, Heinz H. and Dao, Minh N. and Moursi, Walaa M.},
TITLE = {The {D}ouglas-{R}achford algorithm in the affine-convex case},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {44},
YEAR = {2016},
NUMBER = {3},
PAGES = {379--382},
ISSN = {0167-6377},
MRCLASS = {90C25 (65K05)},
MRNUMBER = {3503118},
MRREVIEWER = {Juan Peypouquet},
DOI = {10.1016/j.orl.2016.03.010},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.orl.2016.03.010},
}
@article {MR3498570,
AUTHOR = {Bauschke, Heinz H. and Dao, Minh N. and Noll, Dominikus and
Phan, Hung M.},
TITLE = {On {S}later's condition and finite convergence of the
{D}ouglas-{R}achford algorithm for solving convex feasibility
problems in {E}uclidean spaces},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {65},
YEAR = {2016},
NUMBER = {2},
PAGES = {329--349},
ISSN = {0925-5001},
MRCLASS = {47H09 (47H05 49M27 65F10 65K05 65K10 90C25)},
MRNUMBER = {3498570},
MRREVIEWER = {Matthew K. Tam},
DOI = {10.1007/s10898-015-0373-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-015-0373-5},
}
@article {MR3485977,
AUTHOR = {Bauschke, Heinz H. and Moursi, Walaa M.},
TITLE = {The {D}ouglas-{R}achford algorithm for two (not necessarily
intersecting) affine subspaces},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {26},
YEAR = {2016},
NUMBER = {2},
PAGES = {968--985},
ISSN = {1052-6234},
MRCLASS = {65J15 (47H05 47H09 47H14 49M27 49M29 49N15)},
MRNUMBER = {3485977},
MRREVIEWER = {Livia D'Apuzzo},
DOI = {10.1137/15M1016989},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/15M1016989},
}
@article {MR3463703,
AUTHOR = {Bartz, Sedi and Bauschke, Heinz H. and Moffat, Sarah M. and
Wang, Xianfu},
TITLE = {The resolvent average of monotone operators: dominant and
recessive properties},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {26},
YEAR = {2016},
NUMBER = {1},
PAGES = {602--634},
ISSN = {1052-6234},
MRCLASS = {47H05 (15A09 26A51 26B25 26E60 47H09 52A41 90C25)},
MRNUMBER = {3463703},
MRREVIEWER = {Behzad Djafari-Rouhani},
DOI = {10.1137/15M1020964},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/15M1020964},
}
@article {MR3463507,
AUTHOR = {Bauschke, Heinz H. and Moursi, Walaa M.},
TITLE = {On the order of the operators in the {D}ouglas-{R}achford
algorithm},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {10},
YEAR = {2016},
NUMBER = {3},
PAGES = {447--455},
ISSN = {1862-4472},
MRCLASS = {47H09 (47H05 49M27 65K05 90C25)},
MRNUMBER = {3463507},
MRREVIEWER = {Szil\'{a}rd Csaba L\'{a}szl\'{o}},
DOI = {10.1007/s11590-015-0920-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-015-0920-5},
}
@article {MR3463272,
AUTHOR = {Bauschke, Heinz H. and Koch, Valentin R. and Phan, Hung M.},
TITLE = {Stadium norm and {D}ouglas-{R}achford splitting: a new
approach to road design optimization},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research},
VOLUME = {64},
YEAR = {2016},
NUMBER = {1},
PAGES = {201--218},
ISSN = {0030-364X},
MRCLASS = {90C90 (65K05 90B20 90C25 90C29)},
MRNUMBER = {3463272},
MRREVIEWER = {K. Zimmermann},
DOI = {10.1287/opre.2015.1427},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/opre.2015.1427},
}
@article {MR3572060,
AUTHOR = {Bauschke, Heinz H. and Dao, Minh N. and Moursi, Walaa M.},
TITLE = {On {F}ej\'{e}r monotone sequences and nonexpansive mappings},
JOURNAL = {Linear Nonlinear Anal.},
FJOURNAL = {Linear and Nonlinear Analysis. An International Journal},
VOLUME = {1},
YEAR = {2015},
NUMBER = {2},
PAGES = {287--295},
ISSN = {2188-8159},
MRCLASS = {47J25 (90C25)},
MRNUMBER = {3572060},
MRREVIEWER = {Eric Uwadiegwu Ofoedu},
}
@article {MR3375670,
AUTHOR = {Bauschke, Heinz H. and Hare, Warren L. and Moursi, Walaa M.},
TITLE = {A derivative-free comirror algorithm for convex optimization},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {30},
YEAR = {2015},
NUMBER = {4},
PAGES = {706--726},
ISSN = {1055-6788},
MRCLASS = {90C25 (49M30 65K10 90C56)},
MRNUMBER = {3375670},
MRREVIEWER = {Vivek Laha},
DOI = {10.1080/10556788.2014.968158},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556788.2014.968158},
}
@article {MR3353135,
AUTHOR = {Bauschke, Heinz H. and Wang, Caifang and Wang, Xianfu and Xu,
Jia},
TITLE = {On subgradient projectors},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {25},
YEAR = {2015},
NUMBER = {2},
PAGES = {1064--1082},
ISSN = {1052-6234},
MRCLASS = {90C25 (47H04 47H05 47H09 47N10)},
MRNUMBER = {3353135},
MRREVIEWER = {Shoham Sabach},
DOI = {10.1137/14096267X},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/14096267X},
}
@article {MR3341672,
AUTHOR = {Bauschke, Heinz H. and Wang, Caifang and Wang, Xianfu and Xu,
Jia},
TITLE = {On the finite convergence of a projected cutter method},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {165},
YEAR = {2015},
NUMBER = {3},
PAGES = {901--916},
ISSN = {0022-3239},
MRCLASS = {90C25 (47H04 47H05 47H09 65K10)},
MRNUMBER = {3341672},
MRREVIEWER = {Jun Li},
DOI = {10.1007/s10957-014-0659-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10957-014-0659-7},
}
@article {MR3295075,
AUTHOR = {Bauschke, Heinz H. and Chen, Jiawei and Wang, Xianfu},
TITLE = {A {B}regman projection method for approximating fixed points
of quasi-{B}regman nonexpansive mappings},
JOURNAL = {Appl. Anal.},
FJOURNAL = {Applicable Analysis. An International Journal},
VOLUME = {94},
YEAR = {2015},
NUMBER = {1},
PAGES = {75--84},
ISSN = {0003-6811},
MRCLASS = {47H09 (65J15 90C25)},
MRNUMBER = {3295075},
MRREVIEWER = {Francisco J. Arag\'{o}n Artacho},
DOI = {10.1080/00036811.2013.868443},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/00036811.2013.868443},
}
@article {MR3250462,
AUTHOR = {Bauschke, Heinz H. and Noll, Dominikus and Phan, Hung M.},
TITLE = {Linear and strong convergence of algorithms involving averaged
nonexpansive operators},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {421},
YEAR = {2015},
NUMBER = {1},
PAGES = {1--20},
ISSN = {0022-247X},
MRCLASS = {47J25 (47H09)},
MRNUMBER = {3250462},
MRREVIEWER = {Shawn Xianfu Wang},
DOI = {10.1016/j.jmaa.2014.06.075},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jmaa.2014.06.075},
}
@incollection {MR3155358,
AUTHOR = {Bauschke, Heinz H. and Koch, Valentin R.},
TITLE = {Projection methods: {S}wiss army knives for solving
feasibility and best approximation problems with halfspaces},
BOOKTITLE = {Infinite products of operators and their applications},
SERIES = {Contemp. Math.},
VOLUME = {636},
PAGES = {1--40},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {2015},
MRCLASS = {65K05 (41A29 49M37 90C25)},
MRNUMBER = {3155358},
MRREVIEWER = {Etienne de Klerk},
DOI = {10.1090/conm/636/12726},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/conm/636/12726},
}
@incollection {MR3445550,
AUTHOR = {Bauschke, Heinz H. and Iorio, Francesco and Koch, Valentin R.},
TITLE = {The method of cyclic intrepid projections: convergence
analysis and numerical experiments},
BOOKTITLE = {The impact of applications on mathematics},
SERIES = {Math. Ind. (Tokyo)},
VOLUME = {1},
PAGES = {187--200},
PUBLISHER = {Springer, Tokyo},
YEAR = {2014},
MRCLASS = {90C25 (65K05 90C48)},
MRNUMBER = {3445550},
MRREVIEWER = {S. Kutateladze},
DOI = {10.1007/978-4-431-54907-9\_14},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-4-431-54907-9_14},
}
@article {MR3286694,
AUTHOR = {Bauschke, Heinz H. and Phan, Hung M. and Wang, Xianfu},
TITLE = {The method of alternating relaxed projections for two
nonconvex sets},
JOURNAL = {Vietnam J. Math.},
FJOURNAL = {Vietnam Journal of Mathematics},
VOLUME = {42},
YEAR = {2014},
NUMBER = {4},
PAGES = {421--450},
ISSN = {2305-221X},
MRCLASS = {65K10 (47N10 49J52 49M20 65K05 90C25 90C26)},
MRNUMBER = {3286694},
MRREVIEWER = {J. S\'{a}ndor},
DOI = {10.1007/s10013-013-0049-8},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10013-013-0049-8},
}
@article {MR3235313,
AUTHOR = {Bauschke, Heinz H. and Sarada, Joshua and Wang, Xianfu},
TITLE = {On moving averages},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {21},
YEAR = {2014},
NUMBER = {1},
PAGES = {219--235},
ISSN = {0944-6532},
MRCLASS = {47J25 (26E60 39A06)},
MRNUMBER = {3235313},
MRREVIEWER = {Patrick L. Combettes},
}
@article {MR3233066,
AUTHOR = {Bauschke, Heinz H. and Bello Cruz, J. Y. and Nghia, Tran T. A.
and Phan, Hung M. and Wang, Xianfu},
TITLE = {The rate of linear convergence of the {D}ouglas-{R}achford
algorithm for subspaces is the cosine of the {F}riedrichs
angle},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {185},
YEAR = {2014},
PAGES = {63--79},
ISSN = {0021-9045},
MRCLASS = {47J25 (49J53 49M27)},
MRNUMBER = {3233066},
MRREVIEWER = {Patrick L. Combettes},
DOI = {10.1016/j.jat.2014.06.002},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jat.2014.06.002},
}
@article {MR3227480,
AUTHOR = {Bauschke, H. H. and Noll, D.},
TITLE = {On the local convergence of the {D}ouglas-{R}achford
algorithm},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {102},
YEAR = {2014},
NUMBER = {6},
PAGES = {589--600},
ISSN = {0003-889X},
MRCLASS = {47J25 (52A20 90C26)},
MRNUMBER = {3227480},
MRREVIEWER = {Shoham Sabach},
DOI = {10.1007/s00013-014-0652-2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s00013-014-0652-2},
}
@article {MR3195991,
AUTHOR = {Bauschke, Heinz H. and Wang, Xianfu and Yao, Liangjin},
TITLE = {Rectangularity and paramonotonicity of maximally monotone
operators},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {63},
YEAR = {2014},
NUMBER = {4},
PAGES = {487--504},
ISSN = {0233-1934},
MRCLASS = {47H05 (47A06 47B25 47H09)},
MRNUMBER = {3195991},
MRREVIEWER = {Radu Ioan Bo\c{t}},
DOI = {10.1080/02331934.2012.707653},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/02331934.2012.707653},
}
@article {MR3181697,
AUTHOR = {Bauschke, Heinz H. and Hare, Warren L. and Moursi, Walaa M.},
TITLE = {Generalized solutions for the sum of two maximally monotone
operators},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {SIAM Journal on Control and Optimization},
VOLUME = {52},
YEAR = {2014},
NUMBER = {2},
PAGES = {1034--1047},
ISSN = {0363-0129},
MRCLASS = {47H05 (47H09 49M37 90C25 90C46)},
MRNUMBER = {3181697},
MRREVIEWER = {G\'{e}rard Lebourg},
DOI = {10.1137/130924214},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/130924214},
}
@article {MR3160707,
AUTHOR = {Bauschke, Heinz H. and Luke, D. Russell and Phan, Hung M. and
Wang, Xianfu},
TITLE = {Restricted normal cones and sparsity optimization with affine
constraints},
JOURNAL = {Found. Comput. Math.},
FJOURNAL = {Foundations of Computational Mathematics. The Journal of the
Society for the Foundations of Computational Mathematics},
VOLUME = {14},
YEAR = {2014},
NUMBER = {1},
PAGES = {63--83},
ISSN = {1615-3375},
MRCLASS = {49J52 (47H09 65K10 90C30 94A12)},
MRNUMBER = {3160707},
MRREVIEWER = {Nicolas Hadjisavvas},
DOI = {10.1007/s10208-013-9161-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10208-013-9161-0},
}
@article {MR3157331,
AUTHOR = {Bauschke, Heinz H. and Chen, Jiawei and Wang, Xianfu},
TITLE = {A projection method for approximating fixed points of quasi
nonexpansive mappings without the usual demiclosedness
condition},
JOURNAL = {J. Nonlinear Convex Anal.},
FJOURNAL = {Journal of Nonlinear and Convex Analysis. An International
Journal},
VOLUME = {15},
YEAR = {2014},
NUMBER = {1},
PAGES = {129--135},
ISSN = {1345-4773},
MRCLASS = {47H09 (47J25 52B55)},
MRNUMBER = {3157331},
MRREVIEWER = {Jos\'{e} Mendoza},
}
@article {MR3204655,
AUTHOR = {Bauschke, Heinz H. and Noll, Dominikus},
TITLE = {On cluster points of alternating projections},
JOURNAL = {Serdica Math. J.},
FJOURNAL = {Serdica. Mathematical Journal. Serdika. Matematichesko
Spisanie},
VOLUME = {39},
YEAR = {2013},
NUMBER = {3-4},
PAGES = {355--364},
ISSN = {1310-6600},
MRCLASS = {47J25 (49J53 65K10 90C30)},
MRNUMBER = {3204655},
MRREVIEWER = {Shawn Xianfu Wang},
}
@incollection {MR3108420,
AUTHOR = {Bauschke, Heinz H.},
TITLE = {New demiclosedness principles for (firmly) nonexpansive
operators},
BOOKTITLE = {Computational and analytical mathematics},
SERIES = {Springer Proc. Math. Stat.},
VOLUME = {50},
PAGES = {19--28},
PUBLISHER = {Springer, New York},
YEAR = {2013},
MRCLASS = {47H05 (47H09 47J25 49J53 65J15 90C25)},
MRNUMBER = {3108420},
MRREVIEWER = {Patrick L. Combettes},
DOI = {10.1007/978-1-4614-7621-4\_2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-7621-4_2},
}
@article {MR3089433,
AUTHOR = {Bauschke, Heinz H. and Luke, D. Russell and Phan, Hung M. and
Wang, Xianfu},
TITLE = {Restricted normal cones and the method of alternating
projections: applications},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis. Theory and Applications},
VOLUME = {21},
YEAR = {2013},
NUMBER = {3},
PAGES = {475--501},
ISSN = {1877-0533},
MRCLASS = {49J52 (49M20 49M37 90C26 90C30)},
MRNUMBER = {3089433},
MRREVIEWER = {Constantin Z\u{a}linescu},
DOI = {10.1007/s11228-013-0238-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-013-0238-3},
}
@article {MR3089432,
AUTHOR = {Bauschke, Heinz H. and Luke, D. Russell and Phan, Hung M. and
Wang, Xianfu},
TITLE = {Restricted normal cones and the method of alternating
projections: theory},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis. Theory and Applications},
VOLUME = {21},
YEAR = {2013},
NUMBER = {3},
PAGES = {431--473},
ISSN = {1877-0533},
MRCLASS = {49J52 (47H09 90C26)},
MRNUMBER = {3089432},
MRREVIEWER = {Constantin Z\u{a}linescu},
DOI = {10.1007/s11228-013-0239-2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-013-0239-2},
}
@article {MR3086445,
AUTHOR = {Bauschke, Heinz H. and Borwein, Jonathan M. and Wang, Xianfu
and Yao, Liangjin},
TITLE = {Monotone operators and ``bigger conjugate'' functions},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {20},
YEAR = {2013},
NUMBER = {1},
PAGES = {143--155},
ISSN = {0944-6532},
MRCLASS = {47H05 (47N10 49J53)},
MRNUMBER = {3086445},
MRREVIEWER = {Aris Daniilidis},
}
@article {MR3070092,
AUTHOR = {Bauschke, Heinz H. and Moffat, Sarah M. and Wang, Xianfu},
TITLE = {Near equality, near convexity, sums of maximally monotone
operators, and averages of firmly nonexpansive mappings},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {139},
YEAR = {2013},
NUMBER = {1-2, Ser. B},
PAGES = {55--70},
ISSN = {0025-5610},
MRCLASS = {47H05 (47H10 52A30 90C25)},
MRNUMBER = {3070092},
MRREVIEWER = {Radu Ioan Bo\c{t}},
DOI = {10.1007/s10107-013-0659-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-013-0659-7},
}
@article {MR3070089,
AUTHOR = {Bauschke, Heinz H. and Th\'{e}ra, Michel and Wolkowicz, Henry},
TITLE = {Preface [{S}pecial issue: {C}omputational and analytical
mathematics]},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {139},
YEAR = {2013},
NUMBER = {1-2, Ser. B},
PAGES = {1--3},
ISSN = {0025-5610},
MRCLASS = {90-06 (49-06)},
MRNUMBER = {3070089},
DOI = {10.1007/s10107-013-0656-x},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-013-0656-x},
}
@article {MR2996490,
AUTHOR = {Bauschke, Heinz H. and Borwein, Jonathan M. and Wang, Xianfu
and Yao, Liangjin},
TITLE = {Every maximally monotone operator of {F}itzpatrick-{P}helps
type is actually of dense type},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {6},
YEAR = {2012},
NUMBER = {8},
PAGES = {1875--1881},
ISSN = {1862-4472},
MRCLASS = {47H05 (47H04 49J53)},
MRNUMBER = {2996490},
MRREVIEWER = {Patrick L. Combettes},
DOI = {10.1007/s11590-011-0383-2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-011-0383-2},
}
@article {MR2954538,
AUTHOR = {Bauschke, Heinz H. and Mart\'{\i}n-M\'{a}rquez, Victoria and Moffat,
Sarah M. and Wang, Xianfu},
TITLE = {Compositions and convex combinations of asymptotically regular
firmly nonexpansive mappings are also asymptotically regular},
JOURNAL = {Fixed Point Theory Appl.},
FJOURNAL = {Fixed Point Theory and Applications},
YEAR = {2012},
PAGES = {2012:53, 11},
ISSN = {1687-1820},
MRCLASS = {47H10 (90C25)},
MRNUMBER = {2954538},
DOI = {10.1186/1687-1812-2012-53},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1186/1687-1812-2012-53},
}
@article {MR2949634,
AUTHOR = {Bauschke, Heinz H. and Borwein, Jonathan M. and Wang, Xianfu
and Yao, Liangjin},
TITLE = {Construction of pathological maximally monotone operators on
non-reflexive {B}anach spaces},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis. Theory and Applications},
VOLUME = {20},
YEAR = {2012},
NUMBER = {3},
PAGES = {387--415},
ISSN = {1877-0533},
MRCLASS = {47H05 (47A06 47B65)},
MRNUMBER = {2949634},
MRREVIEWER = {Simeon Reich},
DOI = {10.1007/s11228-012-0209-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-012-0209-0},
}
@article {MR2935445,
AUTHOR = {Bauschke, Heinz H. and Bo\c{t}, Radu I. and Hare, Warren L. and
Moursi, Walaa M.},
TITLE = {Attouch-{T}h\'{e}ra duality revisited: paramonotonicity and
operator splitting},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {164},
YEAR = {2012},
NUMBER = {8},
PAGES = {1065--1084},
ISSN = {0021-9045},
MRCLASS = {47H05 (41A50 49N15)},
MRNUMBER = {2935445},
MRREVIEWER = {Shoham Sabach},
DOI = {10.1016/j.jat.2012.05.008},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jat.2012.05.008},
}
@article {MR1914365,
AUTHOR = {Bauschke, Heinz H. and Combettes, Patrick L. and Luke, D.
Russell},
TITLE = {Phase retrieval, error reduction algorithm, and {F}ienup
variants: a view from convex optimization},
JOURNAL = {J. Opt. Soc. Amer. A},
FJOURNAL = {Journal of the Optical Society of America A. Optics, Image
Science, and Vision},
VOLUME = {19},
YEAR = {2002},
NUMBER = {7},
PAGES = {1334--1345},
ISSN = {1084-7529},
MRCLASS = {94A12},
MRNUMBER = {1914365},
MRREVIEWER = {Michael M. Dediu},
DOI = {10.1364/JOSAA.19.001334},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1364/JOSAA.19.001334},
}
@article {MR1409591,
AUTHOR = {Bauschke, Heinz H. and Borwein, Jonathan M.},
TITLE = {On projection algorithms for solving convex feasibility
problems},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review. A Publication of the Society for Industrial and
Applied Mathematics},
VOLUME = {38},
YEAR = {1996},
NUMBER = {3},
PAGES = {367--426},
ISSN = {0036-1445},
MRCLASS = {90C25 (47N10 49M45 65J10)},
MRNUMBER = {1409591},
MRREVIEWER = {F. Deutsch},
DOI = {10.1137/S0036144593251710},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0036144593251710},
}
@article {MR2916057,
AUTHOR = {Bauschke, Heinz H. and Borwein, Jonathan M. and Wang, Xianfu
and Yao, Liangjin},
TITLE = {The {B}rezis-{B}rowder theorem in a general {B}anach space},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {262},
YEAR = {2012},
NUMBER = {12},
PAGES = {4948--4971},
ISSN = {0022-1236},
MRCLASS = {47H05 (47H04 49N15)},
MRNUMBER = {2916057},
MRREVIEWER = {Simeon Reich},
DOI = {10.1016/j.jfa.2012.03.023},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jfa.2012.03.023},
}
@incollection {MR2908450,
AUTHOR = {Bauschke, Heinz H. and Wang, Xianfu and Yao, Liangjin},
TITLE = {On the maximal monotonicity of the sum of a maximal monotone
linear relation and the subdifferential operator of a
sublinear function},
BOOKTITLE = {Optimization theory and related topics},
SERIES = {Contemp. Math.},
VOLUME = {568},
PAGES = {19--26},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {2012},
MRCLASS = {47A05 (47H05)},
MRNUMBER = {2908450},
MRREVIEWER = {Radu Ioan Bo\c{t}},
DOI = {10.1090/conm/568/11273},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/conm/568/11273},
}
@article {MR2908159,
AUTHOR = {Bauschke, Heinz H. and Lucet, Yves},
TITLE = {What is {$\ldots$} a {F}enchel conjugate?},
JOURNAL = {Notices Amer. Math. Soc.},
FJOURNAL = {Notices of the American Mathematical Society},
VOLUME = {59},
YEAR = {2012},
NUMBER = {1},
PAGES = {44--46},
ISSN = {0002-9920},
MRCLASS = {49N15 (49J53 90C25)},
MRNUMBER = {2908159},
MRREVIEWER = {Patrick L. Combettes},
DOI = {10.1090/noti788},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/noti788},
}
@article {MR2902683,
AUTHOR = {Bauschke, Heinz H. and Wang, Xianfu and Wylie, Calvin J. S.},
TITLE = {Fixed points of averages of resolvents: geometry and
algorithms},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {22},
YEAR = {2012},
NUMBER = {1},
PAGES = {24--40},
ISSN = {1052-6234},
MRCLASS = {47H05 (47H09 65J15 90C25)},
MRNUMBER = {2902683},
MRREVIEWER = {Simeon Reich},
DOI = {10.1137/110823778},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/110823778},
}
@article {MR2886508,
AUTHOR = {Bauschke, Heinz H. and Moffat, Sarah M. and Wang, Xianfu},
TITLE = {Firmly nonexpansive mappings and maximally monotone operators:
correspondence and duality},
JOURNAL = {Set-Valued Var. Anal.},
FJOURNAL = {Set-Valued and Variational Analysis. Theory and Applications},
VOLUME = {20},
YEAR = {2012},
NUMBER = {1},
PAGES = {131--153},
ISSN = {1877-0533},
MRCLASS = {47H09 (47H05 49N15 90C25)},
MRNUMBER = {2886508},
MRREVIEWER = {Simeon Reich},
DOI = {10.1007/s11228-011-0187-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11228-011-0187-7},
}
@incollection {MR2858830,
AUTHOR = {Bauschke, Heinz H. and Moffat, Sarah M. and Wang, Xianfu},
TITLE = {Self-dual smooth approximations of convex functions via the
proximal average},
BOOKTITLE = {Fixed-point algorithms for inverse problems in science and
engineering},
SERIES = {Springer Optim. Appl.},
VOLUME = {49},
PAGES = {23--32},
PUBLISHER = {Springer, New York},
YEAR = {2011},
MRCLASS = {49J52 (47J30 90C25)},
MRNUMBER = {2858830},
MRREVIEWER = {Dariusz Zagrodny},
DOI = {10.1007/978-1-4419-9569-8\_2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-9569-8_2},
}
@incollection {MR2858829,
AUTHOR = {Bauschke, Heinz H. and Macklem, Mason S. and Wang, Xianfu},
TITLE = {Chebyshev sets, {K}lee sets, and {C}hebyshev centers with
respect to {B}regman distances: recent results and open
problems},
BOOKTITLE = {Fixed-point algorithms for inverse problems in science and
engineering},
SERIES = {Springer Optim. Appl.},
VOLUME = {49},
PAGES = {1--21},
PUBLISHER = {Springer, New York},
YEAR = {2011},
MRCLASS = {41A65 (46B20 46N10 49J53 54E52 58C06 90C25)},
MRNUMBER = {2858829},
MRREVIEWER = {Alexey R. Alimov},
DOI = {10.1007/978-1-4419-9569-8\_1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-9569-8_1},
}
@article {MR2810750,
AUTHOR = {Wang, Xianfu and Bauschke, Heinz H.},
TITLE = {Compositions and averages of two resolvents: relative geometry
of fixed points sets and a partial answer to a question by
{C}. {B}yrne},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
VOLUME = {74},
YEAR = {2011},
NUMBER = {13},
PAGES = {4550--4572},
ISSN = {0362-546X},
MRCLASS = {47H10 (47J10 49J40)},
MRNUMBER = {2810750},
MRREVIEWER = {Nan-Jing Huang},
DOI = {10.1016/j.na.2011.04.024},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.na.2011.04.024},
}
@book {MR2798533,
AUTHOR = {Bauschke, Heinz H. and Combettes, Patrick L.},
TITLE = {Convex analysis and monotone operator theory in {H}ilbert
spaces},
SERIES = {CMS Books in Mathematics/Ouvrages de Math\'{e}matiques de la SMC},
NOTE = {With a foreword by H\'{e}dy Attouch},
PUBLISHER = {Springer, New York},
YEAR = {2011},
PAGES = {xvi+468},
ISBN = {978-1-4419-9466-0},
MRCLASS = {49-02 (41A65 46B20 46C05 47H05 90C25 90C30 90C48)},
MRNUMBER = {2798533},
MRREVIEWER = {Simeon Reich},
DOI = {10.1007/978-1-4419-9467-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-9467-7},
}
@article {MR2731278,
AUTHOR = {Bauschke, Heinz H. and Combettes, Patrick L.},
TITLE = {The {B}aillon-{H}addad theorem revisited},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {17},
YEAR = {2010},
NUMBER = {3-4},
PAGES = {781--787},
ISSN = {0944-6532},
MRCLASS = {90C25 (26A51 26B25 47H09 52A41)},
MRNUMBER = {2731278},
MRREVIEWER = {Maicon Marques Alves},
}
@article {MR2678408,
AUTHOR = {Bauschke, Heinz H. and Wang, Xianfu and Yao, Liangjin},
TITLE = {On {B}orwein-{W}iersma decompositions of monotone linear
relations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {20},
YEAR = {2010},
NUMBER = {5},
PAGES = {2636--2652},
ISSN = {1052-6234},
MRCLASS = {47H05 (47N10 90C25)},
MRNUMBER = {2678408},
MRREVIEWER = {Teemu Pennanen},
DOI = {10.1137/09078016X},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/09078016X},
}
@incollection {MR2668238,
AUTHOR = {Bauschke, Heinz H. and Wang, Xianfu},
TITLE = {Firmly nonexpansive and {K}irszbraun-{V}alentine extensions: a
constructive approach via monotone operator theory},
BOOKTITLE = {Nonlinear analysis and optimization {I}. {N}onlinear analysis},
SERIES = {Contemp. Math.},
VOLUME = {513},
PAGES = {55--64},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {2010},
MRCLASS = {47H09 (47H05 49J53)},
MRNUMBER = {2668238},
MRREVIEWER = {Russell Luke},
DOI = {10.1090/conm/513/10075},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/conm/513/10075},
}
@article {MR2651141,
AUTHOR = {Bauschke, Heinz H. and Wang, Xianfu and Yao, Liangjin},
TITLE = {Examples of discontinuous maximal monotone linear operators
and the solution to a recent problem posed by {B}. {F}.
{S}vaiter},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {370},
YEAR = {2010},
NUMBER = {1},
PAGES = {224--241},
ISSN = {0022-247X},
MRCLASS = {49J53 (47H05 52A41)},
MRNUMBER = {2651141},
MRREVIEWER = {Genaro Lopez},
DOI = {10.1016/j.jmaa.2010.04.029},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jmaa.2010.04.029},
}
@article {MR2643727,
AUTHOR = {Bauschke, Heinz H. and Macklem, Mason S. and Sewell, Jason B.
and Wang, Xianfu},
TITLE = {Klee sets and {C}hebyshev centers for the right {B}regman
distance},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {162},
YEAR = {2010},
NUMBER = {6},
PAGES = {1225--1244},
ISSN = {0021-9045},
MRCLASS = {49J53 (41A50 52A41 68T05 93C41)},
MRNUMBER = {2643727},
MRREVIEWER = {Aris Daniilidis},
DOI = {10.1016/j.jat.2010.01.001},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jat.2010.01.001},
}
@article {MR2592915,
AUTHOR = {Bauschke, Heinz H. and Moffat, Sarah M. and Wang, Xianfu},
TITLE = {The resolvent average for positive semidefinite matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {432},
YEAR = {2010},
NUMBER = {7},
PAGES = {1757--1771},
ISSN = {0024-3795},
MRCLASS = {15B48 (47A64)},
MRNUMBER = {2592915},
MRREVIEWER = {Mohammad Sal Moslehian},
DOI = {10.1016/j.laa.2009.11.028},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2009.11.028},
}
@article {MR2577319,
AUTHOR = {Bauschke, Heinz H. and Wang, Xianfu and Yao, Liangjin},
TITLE = {Autoconjugate representers for linear monotone operators},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {123},
YEAR = {2010},
NUMBER = {1, Ser. B},
PAGES = {5--24},
ISSN = {0025-5610},
MRCLASS = {47H05 (49J53 49N15 90C25)},
MRNUMBER = {2577319},
MRREVIEWER = {Radu Ioan Bo\c{t}},
DOI = {10.1007/s10107-009-0319-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-009-0319-0},
}
@article {MR2583887,
AUTHOR = {Bauschke, Heinz H. and Wang, Xianfu and Yao, Liangjin},
TITLE = {Monotone linear relations: maximality and {F}itzpatrick
functions},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {16},
YEAR = {2009},
NUMBER = {3-4},
PAGES = {673--686},
ISSN = {0944-6532},
MRCLASS = {47H05 (26B25 47A06 52A41)},
MRNUMBER = {2583887},
MRREVIEWER = {Aris Daniilidis},
}
@article {MR2583883,
AUTHOR = {Bauschke, Heinz and Th\'{e}ra, Michel},
TITLE = {Stephen {S}imons},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {16},
YEAR = {2009},
NUMBER = {3-4},
PAGES = {i},
ISSN = {0944-6532},
MRCLASS = {01A70},
MRNUMBER = {2583883},
}
@article {MR2556354,
AUTHOR = {Bauschke, Heinz H.},
TITLE = {A note on the paper by {E}ckstein and {S}vaiter on ``{G}eneral
projective splitting methods for sums of maximal monotone
operators'' [MR2486094]},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {SIAM Journal on Control and Optimization},
VOLUME = {48},
YEAR = {2009},
NUMBER = {4},
PAGES = {2513--2515},
ISSN = {0363-0129},
MRCLASS = {47H05 (49M27 90C25)},
MRNUMBER = {2556354},
DOI = {10.1137/090759690},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/090759690},
}
.hla.bib 0000640 0010230 0010230 00003162147 14040071356 013177 0 ustar hwolkowi hwolkowicz
# This file contains miscellaneous (mathematical) bib entries
## with emphasis on Optimization and Matrix Theory.
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in this file .master.bib.
####
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
#### as part of:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
###
### I will also include these in the dedicated file .strings.bib
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
####
#### The string definitions are in this file .master.bib
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/master.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
###################################
###################################
###################################
####string definitions start - always in .master.bib file first.
#### i.e. changes are made in this file and copied to .strings.bib
#############
#############
########### definitions from Sturm start here
#### definitions are put at start - others follow below.
@STRING{ SV = "Springer-Verlag" }
@STRING{ MGH = "Mc{G}raw-Hill" }
@STRING{ W = "Wiley" }
@STRING{ JW = "John Wiley" }
@STRING{ WI = "Wiley-Interscience" }
@STRING{ PH = "Prentice-Hall" }
@STRING{ AW = "Addison-Wesley" }
@STRING{ PUP = "Princeton University Press" }
@STRING{ AP = "Academic Press" }
@STRING{ CUP = "Cambridge University Press" }
@STRING{ OUP = "Oxford University Press" }
@STRING{ ESP = "Elsevier Science Publisher B.V." }
@STRING{ KAP = "Kluwer Adademic Publishers" }
@STRING{ NY = "New York" }
@STRING{ B = "Berlin" }
@STRING{ NJ = "New Jersey" }
@STRING{ NH = "North-Holland" }
@STRING{ EIEUR = "Econometric Institute, Erasmus University Rotterdam" }
@STRING{ ROT = "Rotterdam, The Netherlands" }
@STRING{ S = "STURM, J.F."}
@STRING{ SZ = "STURM, J.F. and Zhang, S."}
@STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and ZHANG, S."}
@STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
#############################################
# The following is from V. Balakrishnan on SDP and systems control
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
#############################################
@string{
ijrnc=
{Int.\ J.\ Robust and Nonlinear Control}
}
@string{
acc=
{Proc.\ American Control Conf.}
}
@string{
aut=
{Automatica}
}
@string{
tcst=
{IEEE Trans.\ Control Sys.\ Tech.}
}
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{
ieep=
{IEE Proc.}
}
#############################################
#############################################
##from Bertsimis
#############################################
@string{ICTA = {IEE Proc. -Control Theory Appl.}}
@String{IROS="IEEE Int. Conf. on Intelligent Robot Systems"}
@String{ICRA="Proc. IEEE Int. Conf. on Robotics and Automation"}
@String{IJRR = {Int. J. of Robot. Res.}}
@String{ITSMC ={IEEE Trans. Syst., Man, Cybern.}}
@String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals -
#### changed in master.bib first
@string{toms = "ACM Transactions on Mathematical Software"}
@STRING{aer = "American Economic Review"}
@STRING{ajae = "Americal Journal of Agricultural Economics"}
@STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."}
@STRING{AMERlong = "The American Statistician"}
@STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"}
@string{adm = "Ann. Discrete Math."}
@string{ADMlong = "Annals of Discrete Mathematics"}
@STRING{ams = "Annals of Mathematical Statistics"}
@STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."}
@STRING{ APNUMlong = "Applied Numerical Mathematics"}
@string{bell = "The Bell System Technical Journal"}
@string{ coap = "Comput. Optim. Appl."}
@string{ coa = "Comput. Optim. Appl."}
@string{ COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"}
@string{cacm = "Communications of the ACM"}
@STRING{ cor = "Comput. Oper. Res." }
@STRING{ CORlong = "Computer and Operations Research" }
@string{comp = "Computing"}
STRING{ CRAS = "Compt Rend Acad. Sci." }
@STRING{ CM = "Contemporary Mathematics" }
@STRING{ C = "Cybernetics" }
@STRING{cmj = "Czechoslovak Math. J."}
@STRING{dam = "Discrete Applied Mathematics"}
@STRING{dm = "Discrete Mathematics"}
@STRING{ ECPE = "Eng. Costs and Prod. Econ." }
@string{electjc = "Electronic J. Combinatorics"}
@string{ela = "Electronic J. Linear Algebra"}
@string{elalong = "The Electronic JOURNAL of Linear Algebra"}
@STRING{ejc = "European Journal of Combinatorics"}
@STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@STRING{ glasgow = "Glasgow Math. J."}
@STRING{ glasgowlong = "Glasgow Mathematical Journal"}
@string{jogo = "J. Global Optim."}
@string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"}
@STRING{ IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"}
@string{ijnme = "International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"}
@STRING{ JAMS = "J. Australian Math. Soc."}
@STRING{ JAMSlong = "J. of the Australian Mathematical Society"}
@string{ JCAM = {J. of Comput. Appl. Mathem.}}
@string{ JCAMlong = {J. of Computational and Applied Mathematics}}
@STRING{jacm = "J. Assoc. Comput. Mach."}
@STRING{JACMlong = "Journal of the Association of Computing Machinery"}
@string{jco = "J. Comb. Optim."}
@string{JCOlong = "Journal of Combinatorial Optimization"}
@STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"}
@STRING{joflong= "Journal of Finance"}
@STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and Applications"}
@STRING{ JORS = "J. Oper. Res. Soc." }
@STRING{ JRAM = "J. f{\"u}r die reine und angewandte {M}athematik"}
@STRING{ JRC = "J. of Regional Science" }
@string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and Applications"}
@STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of Standards"}
@STRING{jrssa = "Journal of the Royal Statistical Society: Series~A"}
@string{laa = "Linear Algebra Appl."}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"}
@STRING{ms = "Management Sci."}
@STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" }
@string{mcomp = "Math. Comp."}
@string{MCOMPlong = "Mathematics of Computation"}
@STRING{ MP = "Math. Programming" }
@string{mprog = "Math. Programming"}
@STRING{MPROGlong = "Mathematical Programming"}
@STRING{mp = "Math. Programming"}
@string{MPlong = {Mathematical Programming}}
@STRING{mpa = "Math. Programming, Series A"}
@STRING{mps = "Math. Programming Studies"}
@STRING{mpb = "Math. Programming, Series B"}
@STRING{ MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."}
@STRING{ MORlong = "Mathematics of Operations Research" }
@STRING{mathz = "Math. Z."}
@STRING{ nrlq = "Naval Res. Logist. Quart." }
@STRING{ NRLQlong = "Naval Research Logistics Quarterly" }
@STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"}
@STRING{ OPTI = "Optimization" }
@string{ oms = "Optim. Methods Softw."}
@string{ OPSlong = "Optimization Methods and Software"}
@string{ornl = "Oak Ridge National Laboratory"}
@STRING{orl = "Operations Research Letters"}
@STRING{or = "Operations Research"}
@STRING{jorlong = "Journal of the Operations Research Society"}
@STRING{jor = "Oper. Res."}
@STRING{jors = "Oper. Res."}
@STRING{ ORQ = "Operations Research Quarterly" }
@STRING{pjm = "Pacific Journal of Mathematics"}
@string{pc = "Parallel Computing"}
@STRING{pams = "Proceedings of the American Mathematical Society"}
@STRING{rsue = "Regional Science and Urban Economics"}
@STRING{restud = "Review of Economics Studies"}
@STRING{ SIAM = "SIAM" }
@string{sijam = "SIAM J. Appl. Math."}
@string{SIJAMlong = "SIAM J. ON Applied Mathematics"}
@STRING{siad = "SIAM J. Algebraic Discrete Methods"}
@STRING{SIADlong = "SIAM Journal on Algebraic and Discrete Methods"}
@string{sdma = "SIAM J. Discrete Math."}
@string{SDMAlong = "SIAM Journal on Discrete Mathematics"}
@string{SIAGOPT = "SIAG/OPT Views-and-News"}
@STRING{ SRev = "SIAM Review" }
@STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." }
@STRING{ SJMA = "SIAM J. Math. Anal." }
@string{SJMAA = "SIAM J. Matrix Anal. Appl."}
@STRING{sijc = "SIAM J. on Computing"}
@STRING{SIJClong = "SIAM Journal on Computing"}
@string{sico = "SIAM J. Control Optim."}
@string{SICOlong = "SIAM J. on Control and Optimization"}
@string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and Applications"}
@string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."}
@STRING{SJNAlong = "SIAM J. on Numerical Analysis"}
@string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical Computing"}
@string{sir = "SIAM Review"}
### start strings from Goemans
@string{stoc95 = "Proc. of the 27th {ACM} Symp. on
Theory Comput."}
@string{stoc97 = "Proc. of the 29th {ACM} Symp. on
Theory Comput."}
@string{stoc98 = "Proc. of the 30th {ACM} Symp. on
Theory Comput."}
@string{stoc99 = "Proc. of the 31st {ACM} Symp. on
Theory Comput."}
@string{focs97 = "Proc. 38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on
Disc. Algs."}
### end strings from Goemans
@STRING{tr = "Transportation Research"}
@STRING{ts = "Transportation Science"}
@STRING{tams = "Transactions of the American Mathematical Society"}
@STRING{ TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."}
@STRING{UTILMATHlong = "Utilitas Mathematica"}
########################end of string definitions#########
#######################################
@article{AlKaWo:97,
author = "A. Alfakih and A. Khandani and H. Wolkowicz",
TITLE = {Solving {E}uclidean distance matrix completion problems
via
semidefinite programming},
NOTE = {Computational optimization---a tribute to Olvi
Mangasarian,
Part I},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {12},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {13--30},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C22 (90C25)},
MRNUMBER = {2000e:90042},
MRREVR = {Christian Michelot},
}
@article {Al:94,
author = "F. Alizadeh",
title = "Interior point methods in semidefinite
programming with applications to combinatorial optimization",
journal = siopt,
volume="5",
pages = "13-51",
year = "1995"}
@ARTICLE {BaCa:75,
author = "G.P. Barker and D. Carlson",
title = "Cones of diagonally dominant matrices",
journal = "Pacific J. of Math.",
year = "1975",
volume = "57",
keywords = "faces, cones, geometry-levent",
pages = "15-32"}
@BOOK {BoGhFeBa:94,
author={S. Boyd and L. {El~{G}haoui} and E. Feron and
V. Balakrishnan},
title={Linear Matrix Inequalities
in System and Control Theory},
publisher = {{SIAM}},
month = jun,
address={Philadelphia, PA},
volume = 15,
series={Studies in Applied Mathematics},
year={1994},
ISBN={0-89871-334-X}
}
@BOOK {Ber:73,
author = "A. Berman",
title = "Cones, Matrices and Mathematical Programming",
publisher = "Springer-Verlag",
year = "1973",
keywords = "faces, cones, geometry-levent",
address = "Berlin, New York"}
@incollection {FanBell:63,
author = "R. Bellman and K. Fan",
TITLE = {On systems of linear inequalities in {H}ermitian matrix
variables},
BOOKTITLE = {Convexity, Proc. Sympos. Pure Math., Vol. VII},
Editor = {V.L. Klee},
PAGES = {1--11},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, R.I.},
YEAR = {1963},
MRCLASS = {15.50},
MRNUMBER = {MR0154876 (27 \#4820)},
MRREVIEWER = {B. J. Stone},
}
@article {MR87m:15045,
AUTHOR = {Barker, G. P. and Laidacker, M. and Poole,
G.},
TITLE = {Projectionally exposed cones},
JOURNAL = {SIAM J. Algebraic Discrete Methods},
FJOURNAL = {Society for Industrial and Applied Mathematics. J. on
Algebraic and Discrete Methods},
VOLUME = {8},
YEAR = {1987},
NUMBER = {1},
PAGES = {100--105},
ISSN = {0196-5212},
CODEN = {SJAMDU},
}
@article {BurMontZhang:02,
author = "S. Burer and R.D.C. Monteiro and Y. Zhang",
TITLE = {Solving a class of semidefinite programs via nonlinear
programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {93},
YEAR = {2002},
NUMBER = {1, Ser. A},
PAGES = {97--122},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C30 90C51)},
MRNUMBER = {MR1912269 (2003d:90071)},
MRREVIEWER = {Jos F. Sturm},
}
@techreport {Bohnen:48, author = "F. Bohnenblust",
title = "Joint positiveness of matrices",
note = "Manuscript",
institution = "UCLA",
year = "1948"
}
@article{bw3,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Regularizing the abstract convex program},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {83},
YEAR = {1981},
NUMBER = {2},
PAGES = {495--530},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C48 (90C25)},
MRNUMBER = {83d:90236},
MRREVR = {S. Zlobec},
}
@article{bw2,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterization of optimality for the abstract convex
program
with finite-dimensional range},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {4},
PAGES = {390--411},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C48},
MRNUMBER = {83i:90156},
MRREVR = {R. L. Graves},
}
@ARTICLE {DymGoh:81,
author = "H. Dym and I. Gohberg",
title = "Extensions of band matrices with band inverses",
journal = laa,
year = "1981",
volume = "36",
pages = "1-24"}
@ARTICLE{fay-97b,
author = "L. Faybusovich",
title = "Euclidean {J}ordan Algebras and Interior-Point Algorithms",
journal = "Positivity",
volume = "1",
number = "4",
pages = "331-357",
publisher = "Kluwer Academic Publishers",
year = "1997"
}
@article {FuKoKaNa:99a,
author = "K. Fukuda and M. Kojima and K. Murota and K. Nakata",
TITLE = {Exploiting sparsity in semidefinite programming via matrix
completion. {I}. {G}eneral framework},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {11},
YEAR = {2000/01},
NUMBER = {3},
PAGES = {647--674 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C22 (15A48 90C51)},
MRNUMBER = {2002a:90051},
MRREVIEWER = {Franz Rendl},
}
@article{GrJoSaWo:84,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
@incollection{GoemRendhandb:99,
author = "Goemans, M.X. and Rendl, F.",
title = "Combinatorial optimization",
booktitle = "HANDBOOK OF SEMIDEFINITE PROGRAMMING:
Theory, Algorithms, and Applications",
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
year = "2000",
}
@article {MR2000881,
AUTHOR = {Henrion, D. and Lasserre, J.B.},
TITLE = {Glopti{P}oly: global optimization over polynomials with
{M}atlab and {S}e{D}u{M}i},
JOURNAL = {ACM Trans. Math. Software},
FJOURNAL = {Association for Computing Machinery. Transactions on
Mathematical Software},
VOLUME = {29},
YEAR = {2003},
NUMBER = {2},
PAGES = {165--194},
ISSN = {0098-3500},
CODEN = {ACMSCU},
MRCLASS = {90C26 (90-04)},
MRNUMBER = {2 000 881},
}
@incollection {MR21:633,
AUTHOR = {Goldman, A.J. and Tucker, A.W.},
TITLE = {Theory of linear programming},
YEAR = {1956},
BOOKTITLE = {Linear inequalities and related systems},
PAGES = {53--97},
NOTE = {Annals of Mathematics Studies, no. 38},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N.J.},
}
@InProceedings{GoWi:93,
author = "M.X. Goemans and D.P. Williamson",
title = ".878-Approximation Algorithms for {MAX} {CUT} and
{MAX} 2{SAT}",
booktitle = "ACM Symposium on Theory of Computing (STOC)",
year = "1994",
}
@Article{GoeWil94,
author = "M.X. GOEMANS and D.P. WILLIAMSON",
title = "New 3/4-Approximation Algorithms for the Maximum
Satisfiability Problem",
journal = "SIAM J. on Discrete Mathematics",
volume = "7",
year = "1994",
}
@BOOK{HoJo:91,
AUTHOR = "R.A. Horn and C.R. Johnson",
TITLE = {Topics in matrix analysis},
NOTE = {Corrected reprint of the 1991 original},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1994},
PAGES = {viii+607},
ISBN = {0-521-46713-6},
MRCLASS = {15-02 (15-01 65-02 65Fxx)},
MRNUMBER = {95c:15001},
}
@incollection{HelmOustr:00,
author = "C. Helmberg and F. Oustry",
title = "Bundle methods to minimize the maximum eigenvalue
function",
booktitle = "HANDBOOK OF SEMIDEFINITE PROGRAMMING:
Theory, Algorithms, and Applications",
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
year = "2000",
}
@BOOK{Hol:75,
AUTHOR = "R.B. Holmes",
TITLE = "Geometric Functional Analysis and its Applications",
PUBLISHER = "Springer-Verlag",
ADDRESS = "Berlin",
YEAR = 1975
}
@article {HeReVaWo:93,
author = "C. Helmberg and F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {An interior-point method for semidefinite
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {97f:90086},
MRREVR = {Tam{\'a}s Terlaky},
}
@BOOK {Ja:86,
author = "J. Jahn",
title = "Mathematical Vector Optimization in Partially
Ordered Linear Spaces",
publisher = "Peter Lang",
year = "1986",
address = "Frankfurt am Main"}
@BOOK {Jame:70,
author = "G. Jameson",
title = "Ordered linear spaces",
publisher = "Springer-Verlag",
year = "1970",
address = "New York"}
@PHDTHESIS {Jin:05,
author = "H. Jin",
title = "Scalable Sensor Localization Algorithms for
Wireless Sensor Networks",
school = "Toronto University",
year = "2005",
address = "Toronto, Ontario, Canada"}
@incollection {MR1059486,
AUTHOR = {Johnson, C.R.},
TITLE = {Matrix completion problems: a survey},
BOOKTITLE = {Matrix theory and applications (Phoenix, AZ, 1989)},
PAGES = {171--198},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1990},
MRCLASS = {15-02 (15A03 15A15 15A57 15A60)},
MRNUMBER = {1 059 486},
}
@article{KrMuReVaWo:98,
author = " S. Kruk and M. Muramatsu and
F. Rendl and R.J. Vanderbei and H. Wolkowicz",
title = "The {G}auss-{N}ewton direction
in linear and semidefinite programming",
JOURNAL = {Optimization Methods and Software},
VOLUME = {15},
YEAR = {2001},
NUMBER = {1},
pages = {1-27}
}
@article {KoShHa:94,
author = "M. Kojima and S. Shindoh and S. Hara",
TITLE = {Interior-point methods for the monotone semidefinite linear
complementarity problem in symmetric matrices},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {1},
PAGES = {86--125},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C33 (90C05 90C25)},
MRNUMBER = {97m:90088},
MRREVIEWER = {Jos F. Sturm},
}
@inproceedings {infieldsLaur:97,
author = "M. Laurent",
title = "A tour d'horizon on positive semidefinite
and {E}uclidean distance matrix completion problems",
booktitle="Topics in Semidefinite and Interior-Point Methods",
editors="P. Pardalos and H. Wolkowicz",
publisher="American Mathematical Society",
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
pages = "51-76",
volume = "18",
address="Providence, Rhode Island",
year="1998" }
@ARTICLE {Lo:79,
author = "L. Lov{\'{a}}sz",
title = "On the {S}hannon capacity of a graph",
journal = "IEEE Transactions on Information Theory",
volume = "25",
pages = "1-7",
year = "1979"}
@BOOK {Lu:69,
author = "D.G. Luenberger",
title = "Optimization by Vector Space Methods",
publisher = "John Wiley",
year = "1969"}
@book{
Lya:47,
author={A.M. Lyapunov},
title={Probl\`eme g\'en\'eral de la stabilit\'e du mouvement},
publisher={Princeton University Press},
year={1947},
volume={17},
series={Annals of Mathematics Studies},
address= {Princeton}
}
@article {Mont:95,
author = "R.D.C. Monteiro",
TITLE = {Primal-dual path-following algorithms for semidefinite
programming},
JOURNAL = siopt,
FJOURNAL = {SIAM J. on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3},
PAGES = {663--678},
ISSN = {1052-6234},
CODEN = {SJOPE8},
}
@incollection {MR1778232,
AUTHOR = {Monteiro, R.D.C. and Todd, M.J.},
TITLE = {Path-following methods},
editors = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
BOOKTITLE = {Handbook of {S}emidefinite {P}rogramming},
PAGES = {267--306},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {1 778 232},
}
@article {MontZhang:96,
author = "R.D.C. Monteiro and Y. Zhang",
TITLE = {A unified analysis for a class of long-step primal-dual
path-following interior-point algorithms for semidefinite
programming},
JOURNAL = mprog,
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#######################################end of current additions
#######################################
%AAAAAAAAAAAA
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@preamble{
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@ARTICLE {ByrSchnSchu:87,
author = "R.H. BYRD and R.B. SCHNABEL and G.A. SCHULTZ",
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journal = "SIAM J. Numer. Anal.",
year = "1987",
volume = "24",
pages = "1152-1170",
note = "Also available as Technical Report CU-CS-313-85,
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author = "R.H. BYRD and R.B. SCHNABEL and G.A. SCHULTZ",
title = "Approximate solution of the trust region problem by
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journal = "Math. Prog.",
year = "1988",
volume = "40",
pages = "247-263"}
@ARTICLE {ByrSchnSchu:88b,
author = "R.H. BYRD and R.B. SCHNABEL and G.A. SCHULTZ",
title = "Using parallel function evaluations to improve
{H}essian approximations for unconstrained
optimization",
journal = "Annals of Operations Research",
year = "1988",
volume = "14",
pages = "167-193",
note = "Also available as Technical Report CU-CS-361-87,
Department of Computer Science, University of
Colorado, Boulder, CO"}
@ARTICLE {ByrSchnSchu:88c,
author = "R.H. BYRD and R.B. SCHNABEL and G.A. SCHULTZ",
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journal = "Math. Prog.",
year = "1988",
volume = "42",
pages = "273-306",
note = "Also available as Technical Report CU-CS-396-88,
Department of Computer Science, University of
Colorado, Boulder, CO"}
@MISC {ByrSchnZhan:88,
author = "R.H. BYRD and R.B. SCHNABEL and X. ZHANG",
title = "Parallel methods for block bordered nonlinear problems",
note = "To appear in Proceedings of the Sixth Army Conference
on Applied Mathematics and Computing, June 1988"}
@MISC {ByrSchnZhan:89,
author = "R.H. BYRD and R.B. SCHNABEL and X. ZHANG",
title = "Solving nonlinear block bordered circuit equations on a
hypercube multiprocessor",
note = "To appear in Proceedings of the Fourth Conference on
Hypercubes, Concurrent Computers and Applications,
Monterey, CA, Mar. 1989"}
%CCCCCCC
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year = "1987",
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for the nonlinear programming problem",
institution = "Department of Computer Science, Cornell University",
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number = "TR 82-509",
address = "Ithaca, NY"}
@MISC {ColFen:85,
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@ARTICLE {Co:90,
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title = "Solving systems of nonlinear equations on a
message-passing multiprocessor",
institution = "Faculty of Mathematics, University of Waterloo",
year = "1987",
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title = "A new method for solving triangular systems on a
distributed memory message-passing multiprocessor",
institution = "Department of Computer Science, Cornell University",
year = "1987",
number = "CS-87-812",
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institution = "Department of Computer Science, Cornell University",
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INSTITUTION = "Dept.\ of Computer Science, Cornell University",
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author = "A.R. CONN and N.I.M. GOULD and P.L. TOINT",
title ="LANCELOT: a Fortran package for
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AUTHOR = "CONN, A.R. and GOULD, N. and TOINT, Ph.L. ",
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TYPE = "Report",
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YEAR = "1996",
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author = "A.R. CONN and N.I.M. GOULD and P.L. TOINT",
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%DDDDDDDDDDDDD
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institution = "Computer and Information
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address= "University of Florida, Gainsville",
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author = "J.P. DELAHAYE and J. DENEL",
title = "Equivalences des continuit\'{e}s des applications
multivoques dans les espaces topologiques",
institution = "Laboratoire de Calcul, University of Lille I",
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number = "111"}
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year = "1993"}
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year = "1982",
volume = "19",
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AUTHOR = "R.S. DEMBO and S.C. EISENSTAT and T.
STEIHAUG",
TITLE = "Inexact {{N}ewton} methods",
JOURNAL = sinum,
YEAR = 1982,
VOLUME = 19,
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MONTH = apr,
PAGES = "190--212"
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AUTHOR = "R.S. DEMBO and T. STEIHAUG",
TITLE = "Truncated {Newton} algorithms for large scale
unconstrained
optimization",
JOURNAL = mp,
YEAR = 1983,
VOLUME = 26,
NUMBER = 72,
PAGES = "190--212"
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@TECHREPORT{dembo83a,
AUTHOR = "R. S. DEMBO",
TITLE = "A primal truncated newton algorithm with application
to large-scale nonlinear network optimization",
INSTITUTION = "Yale University",
YEAR = 1983,
TYPE = "Working Paper: Series B",
NUMBER = 72,
ADDRESS = "Yale School of Organization and Management"
}
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author = "S.N. DEMING and S.L. MORGAN",
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year = "1973",
volume = "45",
number = "3",
pages = "278-283"}
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title = "Simplex optimization of analytical chemical methods",
journal = "Anal. Chem.",
year = "1974",
volume = "46",
number = "9",
pages = "1170-1181"}
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journal = "Russian Math. Soc.",
year = "1971",
volume = "26",
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@BOOK {DemMa:74qq,
author = "V.F. DEM'JANOV and V.N. MALOZEMOV",
title = "On the theory of nonlinear minimax problems",
city = "New York - Toronto",
year = "1974",
publisher = "John Wiley and Sons"}
@BOOK {DemMa:74,
author = "V.F. DEM'JANOV and V.N. MALOZEMOV",
title = "Introduction to Minimax",
city = "New York",
year = "1974",
note = "translated from Russian",
publisher = "Dover Publications"}
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author = "V.F. DEM'JANOV and A.M. RUBINOV",
title = "On quasidifferentiable functionals",
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AUTHOR = {DEMMEL, J.W.},
TITLE = {Accurate singular value decompositions of structured matrices},
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VOLUME = {21},
YEAR = {1999},
NUMBER = {2},
PAGES = {562--580 (electronic)},
ISSN = {1095-7162},
MRCLASS = {65F10 (65F20)},
MRNUMBER = {2001h:65036},
MRREVIEWER = {Stefano Serra Capizzano},
}
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AUTHOR = {DEMMEL, J.W. and GU, M. and EISENSTAT, S. and
SLAPNI{\v{C}}AR, I. and VESELI{\'C}, K. and
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FJOURNAL = {Linear Algebra and its Applications},
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YEAR = {1999},
NUMBER = {1-3},
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ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F15 (15A18 65G99)},
MRNUMBER = {2000j:65044},
MRREVIEWER = {Jan Z{\'{\i}}tko},
}
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AUTHOR = {DEMMEL, J.W.},
TITLE = {Steve {S}male and the geometry of ill-conditioning},
BOOKTITLE = {From Topology to Computation: Proceedings of the Smalefest
(Berkeley, CA, 1990)},
PAGES = {305--316},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1993},
MRCLASS = {65Y20 (65R30)},
MRNUMBER = {94m:65212},
}
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PAGES = {203--217},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F30 (15A18)},
MRNUMBER = {94h:65044},
}
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NUMBER = {1},
PAGES = {10--19},
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CODEN = {SJMAEL},
MRCLASS = {65F35},
MRNUMBER = {92k:65079},
}
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TITLE = {Nearest defective matrices and the geometry of
ill-conditioning},
BOOKTITLE = {Reliable numerical computation},
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PUBLISHER = {Oxford Univ. Press},
ADDRESS = {New York},
YEAR = {1990},
MRCLASS = {65F35},
MRNUMBER = {91m:65124},
}
@article {MR88m:65066,
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NUMBER = {1},
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CODEN = {SJNAAM},
MRCLASS = {65F20 (15A09 15A12)},
MRNUMBER = {88m:65066},
MRREVIEWER = {Mario Arioli},
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AUTHOR = {DEMMEL, J.W.},
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FJOURNAL = {Numerische Mathematik},
VOLUME = {51},
YEAR = {1987},
NUMBER = {3},
PAGES = {251--289},
ISSN = {0029-599X},
CODEN = {NUMMA7},
MRCLASS = {15A12 (15A42 15A45 65F35)},
MRNUMBER = {88i:15014},
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YEAR = {1987},
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MRCLASS = {65F35 (12D10)},
MRNUMBER = {88h:65091},
MRREVIEWER = {Henry Wolkowicz},
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@book {MR98m:65001,
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PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
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YEAR = {1997},
PAGES = {xii+419},
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MRCLASS = {65-01 (65Fxx)},
MRNUMBER = {98m:65001},
MRREVIEWER = {William W. Hager},
}
@techreport{deka:84,
author = "J.W. DEMMEL and B. KAGSTR{\"O}M",
year = "1984",
title = "Stable Eigendecompositions of Matrix Pencils",
institution = "Institute of Information Processing, University
of Umea",
type = "Report",
number = "UMINF-118.84",
kwds = "nla, geig, matrix pencil"
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AUTHOR = {DEMPE, S.},
TITLE = {On generalized differentiability of optimal solutions in
nonlinear parametric optimization},
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YEAR = {1998},
MRCLASS = {90C31 (49J52)},
MRNUMBER = {99b:90129},
MRREVR = {D. Klatte},
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@incollection {MR98e:90180,
AUTHOR = {DEMPE, S.},
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optimization
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BOOKTITLE = {Recent advances in nonsmooth optimization},
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YEAR = {1995},
MRCLASS = {90C31 (90D65)},
MRNUMBER = {98e:90180},
MRREVR = {Stefan Scholtes},
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YEAR = {1993},
NUMBER = {1, Ser. A},
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pages = "157-175"}
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author = "J. DENNEL",
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to optimization",
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year = "1977"}
@INCOLLECTION {Denn:71,
author = "J.E. {DENNIS Jr.}",
title = "Toward a unified convergence theory for {N}ewton-like
methods",
booktitle = "Nonlinear Functional Analysis and Applications",
publisher = "Academic Press",
year = "1971",
editor = "L.B. Rall",
address = "New York, NY"}
@INCOLLECTION {Denn:73,
author = "J.E. {DENNIS Jr.}",
title = "Some computational techniques for the nonlinear
least squares problem",
booktitle = "Numerical Solutions of Systems of Nonlinear Equations",
publisher = "Academic Press",
year = "1973",
editor = "G.D. Byrne and C.A. Hall",
pages = "157-183",
address = "New York, NY"}
@INCOLLECTION {Denn:77,
author = "J.E. {DENNIS Jr.}",
title = "Nonlinear least squares and equations",
booktitle = "The State of the Art in Numerical Analysis",
publisher = "Academic Press",
year = "1977",
editor = "D. Jacobs",
pages = "269-312",
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@INCOLLECTION {Denn:78,
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year = "1978",
editor = "G.H. Golub and J. Oliger",
pages = "19-52",
address = "Providence, Rhode Island"}
@INPROCEEDINGS {Denn:84,
author = "J.E. {DENNIS Jr.}",
title = "A user's guide to nonlinear optimization algorithms",
booktitle = "Proceedings of the IEEE, vol. 72 \#12",
year = "1984"}
@ARTICLE {DennGaWe:81a,
author = "J.E. {DENNIS Jr.} and D.M. GAY and R.E. WELSCH",
title = "An adaptive nonlinear least-squares algorithm",
journal = "TOMS",
year = "1981",
volume = "7",
pages = "348-368"}
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title = "Algorithm 573 {NL2SOL} - {A}n adaptive nonlinear
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journal = "TOMS",
year = "1981",
volume = "7",
pages = "369-383"}
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journal = "Math. Comp.",
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pages = "459-474"}
@ARTICLE {DennMei:79,
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journal = "J. Optim. Theory Appl.",
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pages = "453-482"}
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year = "1974",
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author = "J.E. {DENNIS Jr.} and J.J. MOR\'{E}",
title = "Quasi-{N}ewton methods, motivation and theory",
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year = "1977",
volume = "19",
pages = "46-89"}
@techreport{DennStei:98,
author = "J.E. DENNIS and T. STEIHAUG",
year = "1998",
title = "A {F}erris-{M}angasarian technique applied to linear least
squares problems",
institution = "Rice University",
type = "CRPC Report",
keywords = "least squares, parallel",
number = "MS41" }
@ARTICLE {DennSch:79,
author = "J.E. {DENNIS Jr.} and R.B. SCHNABEL",
title = "Least change secant updates for quasi-{N}ewton methods",
journal = "SIAM Review",
year = "1979",
volume = "21",
pages = "443-459"}
@INCOLLECTION {DennSch:81,
author = "J.E. {DENNIS Jr.} and R.B. SCHNABEL",
title = "A new derivation of symmetric and positive definite
secant updates",
booktitle = "Nonlinear Programming 4",
publisher = "Academic Press",
year = "1981",
editor = "O.L. Mangasarian and R.R. Meyer and S.M. Robinson",
pages = "167-199",
address = "New York, NY"}
@BOOK {DennSch:83,
AUTHOR = {{DENNIS Jr.}, J.E. and SCHNABEL, R.B.},
TITLE = {Numerical methods for unconstrained optimization and
nonlinear
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NOTE = {Corrected reprint of the 1983 original},
SERIES = {Classics in Applied Mathematics},
VOLUME = {16},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1996},
PAGES = {xvi+378},
ISBN = {0-89871-364-1},
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@TECHREPORT {DennSch:87,
author = "J.E. {DENNIS Jr.} and R.B. SCHNABEL",
title = "A view of unconstrained optimization",
institution = "Department of Computer Science, University of
Colorado",
year = "1987",
number = "CU-CS-376-87",
address = "Boulder, CO",
note = "To appear in Handbooks in Operations Research and
Management Science. Handbook 1: Optimization.
G.L. Nemhauser, A.H.G. Rinnooy Kan and M.J. Todd,
editors"}
@TECHREPORT {DennShVu:85,
author = "J.E. {DENNIS Jr.} and S. SHENG and P.H. VU",
title = "A memoryless augmented {G}auss-{N}ewton method
for nonlinear least-squares problems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1985",
number = "TR85-1",
address = "Houston, TX"}
@ARTICLE {DennTap:76,
author = "J.E. {DENNIS Jr.} and R.A. TAPIA",
title = "Supplementary terminology for nonlinear iterative
methods",
journal = "SIGNUM Newsletter",
year = "1976",
volume = "11",
number = "4",
pages = "4-6"}
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author = "J.E. {DENNIS Jr.} and H.F. WALKER",
title = "Convergence theorems for least-change secant update
methods",
journal = "SIAM J. Numer. Anal.",
year = "1981",
volume = "18",
pages = "949-987"}
@TECHREPORT {DennWal:83,
author = "J.E. {DENNIS Jr.} and H.F. WALKER",
title = "Inaccuracy in quasi-{N}ewton methods: local improvement
theorems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1983",
number = "TR83-11",
address = "Houston, TX"}
@ARTICLE {DennWal:85,
author = "J.E. {DENNIS Jr.} and H.F. WALKER",
title = "Least-change sparse secant update methods with
inaccurate secant conditions",
journal = "SIAM J. Numer. Anal.",
year = "1985",
volume = "22",
pages = "760-778"}
@INCOLLECTION {DennWoo:87,
author = "J.E. {DENNIS Jr.} and D.J. WOODS",
title = "Optimization and microcomputers: {T}he {N}elder-{M}ead
simplex algorithm",
booktitle = "New Computing Environments: Microcomputers in
Large-Scale Computing",
publisher = "SIAM",
year = "1987",
editor = "A. Wouk",
pages = "116-122",
address = "Philadelphia"}
@TECHREPORT {DennHeinkVic:95,
author = "J.E. {DENNIS Jr.} and M. HEINKENSCHLOSS and L.N.
VICENTE",
title = "Trust-region interior-point SQP algorithms for a
class of nonlinear programming problems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1995",
number = "CRPC-TR95512",
address = "Houston, TX"}
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title = "Performance of the super modified {S}implex",
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@BOOK {Deuf:96,
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publisher = "Academic Press,Inc.",
note = "(To be published)",
year = "1996"}
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SERIES = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
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PAGES = {107--130},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1995},
MRCLASS = {46C05 (47A05 65J05)},
MRNUMBER = {96e:46027},
}
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year = "1988",
volume = "29",
publisher = "Birkhauser Verlag Basel",
pages = "97-116"}
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JOURNAL = {J. Global Optim.},
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Seeking
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VOLUME = {5},
YEAR = {1994},
NUMBER = {4},
PAGES = {359--370},
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CODEN = {JGOPEO},
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year = "1967",
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@article {Di,
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@ARTICLE {DipGri:79,
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year = "1979",
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@ARTICLE{deuermeyer,
AUTHOR = "D. DEUERMEYER",
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JOURNAL = "CRAY Channels",
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PAGES = "15 - 17",
YEAR = "1990"}
@ARTICLE {Dix1:72a,
author = "L.C.W. DIXON",
title = "Quasi-{N}ewton family generate identical points,
part {I}",
journal = "Math. Prog.",
year = "1972",
volume = "2",
pages = "383-387"}
@ARTICLE {Dix2:72b,
author = "L.C.W. DIXON",
title = "Quasi-{N}ewton family generate identical points,
part {II}",
journal = "Math. Prog.",
year = "1972",
volume = "3",
pages = "345-358"}
@INCOLLECTION {Dix:72,
author = "L.C.W. DIXON",
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performance of variable metric algorithms",
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publisher = "Academic Press",
year = "1972",
editor = "F. Lootsma",
pages = "149-170",
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@TECHREPORT {DHM:84,
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%EEEEEEEEEEEEE
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MRREVIEWER = {Jian-Ping Zhu},
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institution = "Yale University",
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institution = "Department of Computer Science, University of
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%FFFFFFFFF
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MRCLASS = {15A23},
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}
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TITLE = {State of the art in global optimization},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Computational methods and applications,
Papers from the conference held at Princeton University,
Princeton, New Jersey, April 28--30, 1995},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {1996},
PAGES = {x+651},
ISBN = {0-7923-3838-3},
MRCLASS = {90-06 (65K05 90C30)},
MRNUMBER = {97a:90004},
}
@book {MR96f:90013,
TITLE = {State of the art in global optimization: computational
methods
and applications},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Papers from the conference held at Princeton University,
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J. Global Optim. {\bf 7} (1995), no. 2},
PUBLISHER = {Kluwer Academic Publishers Group},
ADDRESS = {Dordrecht},
YEAR = {1995},
PAGES = {i--ii and 113--227},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90-06 (65K05 90C30)},
MRNUMBER = {96f:90013},
}
@book {MR96f:90005,
TITLE = {State of the art in global optimization: computational
methods
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EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Selected papers from the conference held at Princeton
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MRCLASS = {90-02 (65K05 90-06 90C30)},
MRNUMBER = {96f:90005},
}
@book {MR95d:90006,
TITLE = {Conference on {C}omputational {M}ethods in {G}lobal
{O}ptimization. {I}{I}},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Papers from the conference held at Princeton University,
Princeton, New Jersey, May 10--11, 1991,
J. Global Optim. {\bf 2} (1992), no. 3},
PUBLISHER = {Kluwer Academic Publishers Group},
ADDRESS = {Dordrecht},
YEAR = {1992},
PAGES = {i--iv and 229--311},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90-06 (65K05 90C30)},
MRNUMBER = {95d:90006},
}
@book {MR95d:90005,
TITLE = {Conference on {C}omputational {M}ethods in {G}lobal
{O}ptimization. {I}},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Papers from the conference held at Princeton University,
Princeton, New Jersey, May 10--11, 1991,
J. Global Optim. {\bf 2} (1992), no. 1},
PUBLISHER = {Kluwer Academic Publishers Group},
ADDRESS = {Dordrecht},
YEAR = {1992},
PAGES = {iii--vi and 1--112},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90-06 (90C30)},
MRNUMBER = {95d:90005},
}
@book {MR92i:90010,
TITLE = {Recent advances in global optimization},
EDITOR = {Floudas, Christodoulos A. and Pardalos, Panos M.},
NOTE = {Papers from the conference held at Princeton University,
Princeton, New Jersey, May 10--11, 1991},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, NJ},
YEAR = {1992},
PAGES = {x+633},
ISBN = {0-691-08740-7; 0-691-02527-4},
MRCLASS = {90-06 (65K10 90C10 90C30 90C90)},
MRNUMBER = {92i:90010},
}
@book {MR2001a:90001,
AUTHOR = {Floudas, Christodoulos A.},
TITLE = {Deterministic global optimization},
NOTE = {Theory, methods and applications},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {2000},
PAGES = {xviii+739},
ISBN = {0-7923-6014-1},
MRCLASS = {90-02 (90C26 90C57 90C59)},
MRNUMBER = {2001a:90001},
MRREVIEWER = {Harold P. Benson},
}
@BOOK {FoVan:82,
author = "J.D. FOLEY and A. {VAN DAM}",
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author = "R. FONTECILLA",
title = "The lack of positive definiteness in the {H}essian
in constrained optimization",
institution = "Department of Computer Science, University of Maryland", year = "1983",
number = "TR 1334",
address = "College Park, Maryland"}
@TECHREPORT {FonSteiTa:83,
author = "R. FONTECILLA and T. STEIHAUG and R.A. TAPIA",
title = "A convergence theory for a class of quasi-{N}ewton
methods for constrained optimization",
institution = "Department of Mathematical Sciences, Rice University",
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%GGGGGGGGGG
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YEAR = {1997},
MRCLASS = {65F22 (65J20)},
MRNUMBER = {2000k:65080},
MRREVIEWER = {Otmar Scherzer},
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month = mar,
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title = "Note on the weighting of {S}chubert's update for
discretizations of ordinary differential equations",
institution = "Department of Mathematics, Southern Methodist
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%HHHHHHHH
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institution = "Department of Mathematical Sciences, Rice University",
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%IIIIIIIIIIIII
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%JJJJJJJJJJJJ
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%KKKKKKKKKKKK
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%LLLLLLLLLLLL
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%MMMMMMMMMMMM
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author = "N. KREJI\'C and J.M. MARTINEZ",
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author = "P. MATSTOMS",
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title = "Sparse QR Factorization with Applications to Linear
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MRREVIEWER = {Vanita Verma},
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month = mar,
year = "2001",
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URL =
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%NNNNNNNNNNNNNNNNNNNNN
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%OOOOO
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%PPPPPPPPPPPPP
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author = "PEREZ-GARCIA, S.",
title=" Alternative Iterative Primal-Dual
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school = "Simon Bolivar University, Center for Statistics and
Mathematical Software (CESMa)",
number="Report 2003-05",
address="Venezuela",
URL="http://www.cesma.usb.ve",
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MRNUMBER = {99i:90069},
MRREVIEWER = {T. Zolezzi},
}
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author = "S. POLJAK and F. RENDL",
title = "Computing the max--cut by eigenvalues",
institution = "Institut fur Diskrete Mathematik, Universitat Bonn",
year = "1991",
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author = "J.J. JUDICE and J. PATRICIO and
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and G. VEIGA",
title = "A study of preconditioners for network interior
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institution = "Universidade de Coimbra",
keywords = "interior point, primal-dual",
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address = "Coimbra, Portugal"}
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institution = "Department of Mathematical Sciences, Rice University",
year = "1983",
number = "TR83-29",
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@INCOLLECTION {Pow:69,
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problems",
booktitle = "Optimization",
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year = "1969",
editor = "R. Fletcher",
pages = "283-298",
address = "New York, NY"}
@INCOLLECTION {Pow:70a,
author = "M.J.D. POWELL",
title = "A hybrid method for nonlinear equations",
booktitle = "Numerical Methods for Nonlinear Algebraic Equations",
publisher = "Gordon \& Breach",
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editor = "P. Rabinowitz",
pages = "87-114",
address = "London"}
@INCOLLECTION {Pow:70b,
author = "M.J.D. POWELL",
title = "A new algorithm for unconstrained optimization",
booktitle = "Nonlinear Programming",
publisher = "Academic Press",
year = "1970",
editor = "J.B. Rosen and O.L. Mangasarian and K. Ritter",
pages = "31-65",
address = "New York, NY"}
@INCOLLECTION {Pow:70c,
author = "M.J.D. POWELL",
title = "A {F}ortran subroutine for solving systems of
nonlinear algebraic equations",
booktitle = "Numerical Methods for Nonlinear Algebraic Equations",
publisher = "Gordon \& Breach",
year = "1970",
editor = "P. Rabinowitz",
pages = "115-149",
address = "London"}
@INCOLLECTION {Pow:75,
author = "M.J.D. POWELL",
title = "Convergence properties of a class of minimization
algorithms",
booktitle = "Nonlinear Programming 2",
publisher = "Academic Press",
year = "1975",
editor = "O.L. Mangasarian and R.R. Meyer and S.M. Robinson",
pages = "1-27",
address = "New York, NY"}
@INCOLLECTION {Pow:76,
author = "M.J.D. POWELL",
title = "Some global convergence properties of a variable
metric algorithm without exact line searches",
booktitle = "Nonlinear Programming",
publisher = "AMS",
year = "1976",
editor = "R. Cottle and C. Lemke",
pages = "53-72",
address = "Providence, Rhode Island"}
@INCOLLECTION {Pow:77a,
author = "M.J.D. POWELL",
title = "A fast algorithm for nonlinearly constrained
optimization calculations",
booktitle = "Lecture notes in Mathematics, Numerical Analysis,
Dundee 1977",
publisher = "Springer-Verlag",
year = "1978",
editor = "G.A. Watson",
pages = "144-157"}
@TECHREPORT {Pow:77b,
author = "M.J.D. POWELL",
title = "Constrained optimization by a variable metric method",
institution = "University of Cambridge",
year = "1977",
type = "DAMTP Report",
number = "1977/NA6",
address = "Cambridge, England"}
@INCOLLECTION {Pow:78,
author = "M.J.D. POWELL",
title = "The convergence of variable metric methods for
nonlinearly constrained optimization problems",
booktitle = "Nonlinear Programming 3",
publisher = "Academic Press",
year = "1978",
editor = "O.L. Mangasarian and R.R. Meyer and S.M. Robinson",
pages = "27-63",
address = "New York, NY"}
@INCOLLECTION {Pow:81a,
author = "M.J.D. POWELL",
title = "An upper triangular matrix method for quadratic
programming",
booktitle = "Nonlinear Programming 4",
publisher = "Academic Press",
year = "1981",
pages = "1-24",
address = "New York, NY"}
@ARTICLE {Pow:81b,
author = "M.J.D. POWELL",
title = "A note on quasi-{N}ewton formulae for sparse second
derivative matrices",
journal = "Math. Prog.",
year = "1981",
volume = "20",
pages = "144-151"}
@TECHREPORT {Pow:83,
author = "M.J.D. POWELL",
title = "General algorithms for discrete nonlinear
approximation calculations",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
year = "1983",
type = "DAMTP Report",
number = "1983/NA2",
address = "Cambridge, England"}
@ARTICLE {Pow:84a,
author = "M.J.D. POWELL",
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journal = "Math. Prog.",
year = "1984",
volume = "29",
pages = "297-303"}
@TECHREPORT {Pow:84b,
author = "M.J.D. POWELL",
title = "The performance of two subroutines for constrained
optimization on some difficult test problems",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
year = "1984",
type = "DAMTP Report",
number = "1984/NA6",
address = "Cambridge, England"}
@ARTICLE {Pow:86,
author = "M.J.D. POWELL",
title = "How bad are the {BFGS} and {DFP} methods when the
objective function is quadratic",
journal = "Math. Prog.",
year = "1986",
volume = "34",
pages = "34-47"}
@TECHREPORT {Pow:92,
author = "M.J.D. POWELL",
title = "Overview of constrained optimization",
institution = "Siam Conference on Optimization",
year = "1992",
type = "Introductory Address",
address = "Chicago, Ill."}
@incollection {Pow:97,
AUTHOR = {POWELL, M. J. D.},
TITLE = {The use of band matrices for second derivative
approximations
in trust region algorithms},
BOOKTITLE = {Advances in nonlinear programming (Beijing, 1996)},
PAGES = {3--28},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1998},
MRCLASS = {90C30 (65F30)},
MRNUMBER = {99g:90133},
MRREVR = {Yin Zhang},
}
@techreport{powell2,
AUTHOR = "M.J.D. POWELL",
TITLE = "Trust region calculations revisited",
NOTE = "Presented at the 17th Biennial Conference on Numerical
Analysis
(Dundee)",
TYPE = "Report",
NUMBER = "DAMTP 1997/NA18",
INSTITUTION = "Cambridge University",
YEAR = "1997",
}
@ARTICLE {PowToi:79,
author = "M.J.D. POWELL and PH.L. TOINT ",
title = "On the estimation of sparse {H}essian matrices",
journal = "SIAM J. Numer. Anal.",
year = "1979",
volume = "16",
pages = "1060-1074"}
@TECHREPORT {PowYua:83,
author = "M.J.D. POWELL and Y. YUAN",
title = "Conditions for superlinear convergence in
$l_{1}$ and $l_{\infty}$ solutions of overdetermined
nonlinear equations",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
year = "1983",
type = "DAMTP Report",
number = "1983/NA8",
address = "Cambridge, England"}
\@ARTICLE {Po:88,
author = "D.L. POWERS",
title = "Graph partitioning by eigenvectors",
journal = laa,
year = "1988 ",
volume = "101",
pages = "121-133"}
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author = "J.W. PRATT",
title = "When to stop a quasi-{N}ewton search for a maximum
likelihood estimate",
institution = "Harvard School of Business",
year = "1977",
number = "WP 77-16"}
@book {Puk:93,
author = "F. PUKELSHEIM",
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NOTE = {A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1993},
PAGES = {xxvi+454},
ISBN = {0-471-61971-X},
}
@article {MR97c:90134,
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YEAR = {1996},
NUMBER = {3},
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CODEN = {SJCODE},
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@article {MR2000b:14078,
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Math\'ematique},
VOLUME = {328},
YEAR = {1999},
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@article {MR95h:47014,
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%QQQQQQQQQQQQQQQ
@article {MR85e:15016,
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MRCLASS = {15A18 (15A42 65F15)},
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journal = "Bull. Amer. Math. Soc.",
year = "1942",
pages = "883-890"}
@techreport{sz,
AUTHOR = "R.W.H.\ SARGENT and X.\ ZHANG",
TITLE = "An interior-point algorithm for general nonlinear
complementarity
problems and nonlinear programs",
TYPE = "Report",
INSTITUTION = "Centre for Process Systems Engineering, Imperial
College",
ADDRESS = "London",
YEAR = "1998",
}
@article{ssb,
AUTHOR = " SHULTZ, G.A. and SCHNABEL, R.B. and BYRD, R.H. ",
TITLE = "A family of trust-region based algorithms for unconstrained
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NUMBER ="1",
YEAR = "1985",
PAGES = "47--67",
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volume = "15",
pages = "182-188"}
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author = "K. SCHITTKOWSKIK",
title = "The nonlinear programming method of {W}ilson, {H}an
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journal = "Numer. Math.",
year = "1981",
volume = "38",
pages = "115-127"}
@TECHREPORT {Schi:82,
author = "K. SCHITTKOWSKIK",
title = "On the convergence of a sequential quadratic
programming method with an augmented {L}agrangian
line search function",
institution = "Department of Operations Research, Stanford University",
year = "1982",
number = "SOL 82-4",
address = "Stanford, CA"}
@PHDTHESIS {Schna:77,
author = "R.B. SCHNABEL",
title = "Analysing and improving quasi-{N}ewton methods
for unconstrained optimization",
school = "Department of Computer Science, Cornell University",
year = "1977",
address = "Ithaca, NY",
note = "Also available as TR-77-320"}
@ARTICLE {Schna:78a,
author = "R.B. SCHNABEL",
title = "Minimum norm symmetric quasi-{N}ewton updates restricted
to subspaces",
journal = "Math. Comp.",
year = "1978",
pages = "829-837"}
@ARTICLE {Schna:78b,
author = "R.B. SCHNABEL",
title = "Optimal conditioning in the convex class of rank-two
updates",
journal = "Math. Prog.",
year = "1978",
pages = "247-260"}
@TECHREPORT {Schna:78c,
author = "R.B. SCHNABEL",
title = "Q-superlinear convergence of {Biggs'} method and
related methods for unconstrained optimization",
institution = "Department of Computer Science, University of
Colorado",
year = "1978",
number = "CU-CS-133-78",
address = "Boulder, CO"}
@TECHREPORT {Schna:78d,
author = "R.B. SCHNABEL",
title = "On the {Q}-superlinear convergence of self-scaling
quasi-{N}ewton methods",
institution = "Department of Computer Science, University of
Colorado",
year = "1978",
number = "CU-CS-144-78",
address = "Boulder, CO"}
@INCOLLECTION {Schna:79,
author = "R.B. SCHNABEL",
title = "Developing modular software for unconstrained
optimization",
booktitle = "Performance Evaluation of Numerical Software",
publisher = "North-Holland",
year = "1979",
editor = "L.D. Fosdick",
pages = "245-251",
address = "Amsterdam"}
@ARTICLE {Schna:82a,
author = "R.B. SCHNABEL",
title = "Determining feasibility of a set of nonlinear
inequality constraints",
journal = "Math. Programming Studies",
year = "1982",
volume = "16",
pages = "137-148"}
@INCOLLECTION {Schna:82b,
author = "R.B. SCHNABEL",
title = "Comments on evaluating algorithms and codes for
mathematical programming",
booktitle = "Evaluating Mathematical Programming Techniques",
publisher = "Springer-Verlag",
year = "1982",
editor = "J.M. Mulvey",
pages = "166-169",
address = "Berlin"}
@INCOLLECTION {Schna:82c,
author = "R.B. SCHNABEL",
title = "Unconstrained Optimization in 1981",
booktitle = "Nonlinear Optimization 1981",
publisher = "Academic Press",
year = "1982",
editor = "M.J.D. Powell",
pages = "3-16",
address = "London"}
@TECHREPORT {Schna:82d,
author = "R.B. SCHNABEL",
title = "Finite difference derivatives - theory and practice",
institution = "National Bureau of Standards",
year = "1982"}
@ARTICLE {Schna:83a,
author = "R.B. SCHNABEL",
title = "Forcing sparsity by projecting with respect to a
non-diagonally weighted {F}robenius norm",
journal = "Math. Prog.",
year = "1983",
volume = "25",
pages = "125-129"}
@INCOLLECTION {Schna:83b,
author = "R.B. SCHNABEL",
title = "Conic methods for unconstrained minimization and
tensor methods for nonlinear equations",
booktitle = "Mathematical Programming, The State of the Art",
publisher = "Springer-Verlag",
year = "1983",
editor = "A. Bachem and M. Grotschel and B. Korte",
pages = "417-438",
address = "Berlin"}
@TECHREPORT {Schna:83c,
author = "R.B. SCHNABEL",
title = "Quasi-{N}ewton methods using multiple secant
equations",
institution = "Department of Computer Science, University of
Colorado",
year = "1983",
number = "CU-CS-247-83",
address = "Boulder, CO"}
@INCOLLECTION {Schna:85,
author = "R.B. SCHNABEL",
title = "Parallel computing in optimization",
booktitle = "Computational Mathematical Programming",
publisher = "Springer-Verlag",
year = "1985",
editor = "K. Schittkowski",
pages = "357-381",
address = "Berlin"}
@ARTICLE {Schna:87,
author = "R.B. SCHNABEL",
title = "Concurrent function evaluations in local and global
optimization",
journal = "Computer Methods in Applied Mechanics and Engineering",
year = "1987",
volume = "64",
pages = "537-552"}
@TECHREPORT {Schna:88a,
author = "R.B. SCHNABEL",
title = "Sequential and parallel methods for unconstrained
optimization",
institution = "Department of Computer Science, University of
Colorado",
year = "1988",
number = "CU-CS-414-88",
address = "Boulder, CO",
note = "To appear in book of plenary and survey talks from
13th International Conference on Mathematical
Programming, Tokyo, Japan, Aug. 1988"}
@INPROCEEDINGS {Schna:88b,
author = "R.B. SCHNABEL",
title = "Why are all us parallel numerical analysts doing parallel
software tools?",
booktitle = "Proceedings of IBM/NSF Workshop on Opportunities and
Constraints of Parallel Computing",
year = "1988"}
@article {MR14:1055a,
AUTHOR = {SCHNEIDER, H.},
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with
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YEAR = {1953},
PAGES = {8--20},
MRCLASS = {09.0X},
MRNUMBER = {14,1055a},
MRREVIEWER = {G. E. Forsythe},
}
\@INCOLLECTION{Zo:88,
AUTHOR = "H. SCHRAMM and J. ZOWE",
TITLE = "A Combination of the Bundle approach and the
Trust Region Concept",
BOOKTITLE = "Advances in Mathematical Optimization",
PUBLISHER = "Akademie Verlag Berlin",
YEAR = 1988,
EDITOR = "J. Guddat et al."
}
@ARTICLE{SZ:92,
AUTHOR = "H. SCHRAMM and J. ZOWE",
TITLE = "A version of the Bundle idea for Minimizing a
Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results",
JOURNAL = siopt,
VOLUME = 2,
YEAR = 1992,
PAGES = "121-152"
}
@ARTICLE{Z0:92,
AUTHOR = "H. SCHRAMM and J. ZOWE",
TITLE = "A version of the Bundle idea for Minimizing a
Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results",
JOURNAL = siopt,
VOLUME = 2,
YEAR = 1992,
PAGES = "121-152"}
@ARTICLE{Sch:79,
AUTHOR = "A. SCHRIJVER",
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YEAR = "1979",
PAGES = "425-429"}
@ARTICLE {Schu:70,
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journal = "Math. Comp.",
year = "1970",
volume = "24",
pages = "27-30"}
@TECHREPORT {Scolnik,
author = "H.D. SCOLNIK",
title = "Test functions for unconstrained optimization",
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Exactas y Naturales, Universidad de Buenos Aires",
year = "1989",
number = "1-89"}
@TECHREPORT {Sc:79,
author = "D.S. SCOTT",
title = "Block Lanczos software for symmetric eigenvalue
problems",
institution = "Oak Ridge National laboratory",
number = "84-08",
year = "1979"}
@BOOK {Shae:71,
author = "H. SHAEFER",
title = "Topological Vector Spaces",
publisher = "Springer-Verlag",
address = "New York",
year = "1971"}
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author = "D.F. SHANNO",
title = "Conditioning of quasi-{N}ewton methods for function
minimization",
journal = "Math. Comp.",
year = "1970",
volume = "24",
pages = "647-657"}
@ARTICLE {Shan:78a,
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journal = "Math. Oper. Res.",
year = "1978",
volume = "3",
number = "3",
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volume = "15",
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journal = "Math. Comp.",
year = "1980",
volume = "34",
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@TECHREPORT {Shan:84,
author = "D.F. SHANNO",
title = "Globally convergent conjugate gradient algorithms",
institution = "Graduate School of Administration, University of
California at Davis",
year = "1984",
type = "Working Paper",
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author = "A. SHAPIRO",
title = "Optimal block diagonal $l_2$-scaling of
matrices",
journal = sinum,
year = "1985",
volume = "22",
pages = "81-94"
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year = "1991",
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PUBLISHER = {Springer-Verlag},
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YEAR = {1985},
PAGES = {viii+162},
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MRCLASS = {90C30 (49D07 65K10)},
MRNUMBER = {86f:90138},
MRREVR = {K. G. Murty},
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pages = "45-78",
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author = "G.L. SILVER",
title = "Non-{E}uclidean simplex optimization",
institution = "USDOE",
year = "1978",
number = "MlM-2427"}
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author = "H. SIMON",
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institution = "NASA Ames Research Center",
year = "1993",
address = "Moffett Field, CA"}
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AUTHOR = "SIMON, H. D.",
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YEAR = "1991"}
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AUTHOR = "BARNARD, S. T. and SIMON, H. D.",
TITLE = "A Fast Multilevel Implementation of Recursive Spectral
Bisection
for Partitioning Unstructured Problems",
INSTITUTION = "NASA Ames Research Center",
ADDRESS = "Moffett Field, CA 94035",
NUMBER = "RNR-092-033",
MONTH = "November",
NOTE = "(To appear in Concurrency: Practice and Experience)",
YEAR = "1992"}
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author = "J. SKORIN-KAPOV",
title = "Tabu search applied to the quadratic assignment
problem",
journal = " ORSA Journal on Computing",
year = "1990",
volume = "2(1)",
pages = "33-45"}
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VOLUME = {14},
YEAR = {1969/1970},
PAGES = {246--251},
ISSN = {0029-599X},
MRCLASS = {65.35},
MRNUMBER = {MR0256546 (41 \#1202)},
MRREVIEWER = {J. D. P. Donnelly},
}
@article {MR40:6760,
AUTHOR = {VAN der SLUIS, A.},
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JOURNAL = {Numer. Math.},
VOLUME = {14},
YEAR = {1969/1970},
PAGES = {14--23},
MRCLASS = {65.35},
MRNUMBER = {40 \#6760},
MRREVIEWER = {R. P. Tewarson},
}
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AUTHOR = {SOLOVIOV, V.},
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NUMBER = {4},
PAGES = {297--315},
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CODEN = {ANMADK},
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@PHDTHESIS {Sor:77a,
author = "D.C. SORENSEN",
title = "Updating the symmetric indefinite factorization
with applications in a modified {N}ewton's method",
school = "University of California at San Diego",
year = "1977"}
@TECHREPORT {Sor:77b,
author = "D.C. SORENSEN",
title = "Updating the symmetric indefinite factorization
with applications in a modified {N}ewton's method",
institution = "Argonne National Labs",
year = "1977",
number = "ANL-77-49",
address = "Argonne, IL"}
@ARTICLE {Sor:80,
author = "D.C. SORENSEN",
title = "The {Q}-superlinear convergence of a collinear scaling
algorithm for unconstrained optimization",
journal = "SIAM J. Numer. Anal.",
year = "1980",
volume = "17",
number = "1",
pages = "84-114"}
@ARTICLE {Sor:81,
author = "D.C. SORENSEN",
title = "An example concerning quasi-{N}ewton estimation of a
sparse {H}essian",
journal = "SIGNUM Newsletter",
year = "1981",
volume = "16",
pages = "8-10"}
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author = "D.C. SORENSEN",
title = "{N}ewton's method with a model trust region modification",
journal = "SIAM J. Numer. Anal.",
year = "1982",
volume = "19",
pages = "409-426"}
@INCOLLECTION {Sor:82b,
author = "D.C. SORENSEN",
title = "Trust region methods for unconstrained minimization",
booktitle = "Nonlinear Optimization 1981",
publisher = "Academic Press",
year = "1982",
editor = "M.J.D. Powell",
address = "London"}
@article {Sor:94,
author = "D.C. SORENSEN",
title = {Minimization of a large-scale quadratic function
subject to a
spherical constraint},
journal = {SIAM Journal on Optimization},
year = {1997},
volume = {7},
number = {1},
pages = {141-161},
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@ARTICLE{ Sorensen92,
AUTHOR = {D.C. SORENSEN},
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{A}rnoldi Method},
JOURNAL = simax,
YEAR = 1992,
VOLUME = 13,
NUMBER = 1,
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author = "T. STEIHAUG",
title = "Quasi-{N}ewton methods for large scale nonlinear
problems",
institution = "Yale University",
year = "1980",
type = "SOM Technical Report",
number = "49",
address = "New Haven, CT"}
@TECHREPORT {Stei:81,
author = "T. STEIHAUG",
title = "The conjugate gradient method and trust region
in large scale optimization",
institution = "Department of Mathematical Sciences, Rice University",
year = "1981",
number = "TR81-1",
address = "Houston, TX"}
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author = "T. STEIHAUG",
title = "The conjugate gradient method and trust regions in large
scale optimization",
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year = "1983",
volume = "20",
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author = "R.J. STERN and J.J. YE",
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problem},
BOOKTITLE = {Proceedings of the Workshop ``Nonnegative Matrices,
Applications and Generalizations'' and the Eighth Haifa
Matrix
Theory Conference (Haifa, 1993)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {220},
YEAR = {1995},
PAGES = {391--417},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {49J52 (15A18)},
MRNUMBER = {96c:49031},
MRREVIEWER = {Henry Wolkowicz},
}
}
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author = "R.E. STEUER",
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year = "1986",
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@incollection {MR1250182,
AUTHOR = {STEWART, G.W.},
TITLE = {Determining rank in the presence of error},
BOOKTITLE = {Linear algebra for large scale and real-time applications
(Leuven, 1992)},
SERIES = {NATO Adv. Sci. Inst. Ser. E Appl. Sci.},
VOLUME = {232},
PAGES = {275--291},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1993},
MRCLASS = {65F10},
MRNUMBER = {MR1250182},
}
@article {MR1211802,
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VOLUME = {14},
YEAR = {1993},
NUMBER = {2},
PAGES = {494--499},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F05},
MRNUMBER = {MR1211802 (93m:65039)},
}
@article {MR740857,
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YEAR = {1984},
NUMBER = {2},
PAGES = {403--413},
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CODEN = {SIJCD4},
MRCLASS = {65F25 (65F15)},
MRNUMBER = {MR740857 (85h:65086)},
MRREVIEWER = {G. C. Barozzi},
}
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@BOOK {Stew:73,
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@article{stew:89,
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@TECHREPORT {StewSch:92,
author = "E. SCHR{\"O}DER",
title = "On infinitely many algorithms for solving
equations",
institution = "University of Maryland",
address = "College Park, MD",
year = "1992",
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@ARTICLE {splinebib:97,
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@INCOLLECTION {St:85,
author = "J. STOER",
title = "Principles of sequential quadratic programming
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publisher = "Springer-Verlag",
year = "1985",
editor = "K. Schittkowski",
pages = "165-207",
address = "Berlin"}
@BOOK {StoBul:80,
author = "J. STOER and R. BULIRSCH",
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%TTTTTTTTTTTTTTTTTTTT
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%XXXXXXXXXXXXXXXXXXXXXXXXXXX
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%YYYYYYYYYYYYYYY
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author = "POWELL, M. J. D.",
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title = {The Convergence of Variable Metric Methods for Nonlinearly
Constrained Optimization Calculations},
booktitle = "Nonlinear Programming 3",
editor = "O.L. Mangasrian, R. R. Meyer and S. M.
Robinson",
publisher ="Academic Press, London and New York",
pages = "27-63"
}
@incollection{kn:powell2,
author = "POWELL, M. J. D.",
year = 1978,
title = {
A Fast Algorithm for Nonlinearly Constrained Optimization Calculations,
},
editor =
"G.A. Watson" ,
booktitle = " Numerical Analysis, Lecture Notes in Mathematics,
no. 630",
publisher = " Springer Verlag",
pages ="144-157"
}
@book{kn:powell,
author = "POWELL, M. J. D.",
year = 1981,
title = {Approximation Theory and Methods},
publisher =" Cambridge University Press"
}
@article{kn:rice1,
author = "J. R. Rice",
year = 1964,
title = {On the Existence and Characterisation of Best Nonlinear
{Tchebyshev} Approximation},
journal = "Tran. Am. Math. Soc.",
volume = 110,
pages = "88-97"
}
@book{kn:rice0,
author = "J. R. Rice",
year = 1964,
title = { The Approximation of Functions 1, Linear Theory},
publisher = "Addison-Wesley"
}
@book{kn:rice2,
author = "J. R. Rice",
year = 1969,
title = {The Approximation of Functions 2, Nonlinear Theory},
publisher = "Addison-Wesley"
}
@inproceedings{kn:stf,
author = "Stiefel, E. L. ",
year = 1959,
title = { Numerical Methods of {Tchebycheff} Approximation},
booktitle = "Proceedings of a symposium",
organization= " math. research center",
publisher = "Univ. of Wisconsin Press"
}
@article{kn:torn,
author = "L. Tornheim",
year = 1950,
title = {On N-parameter Families of Functions and Associated Convex Functions},
journal = "Trans. Amer. Math. Soc.",
volume = 69,
pages = "457-467"
}
@book{kn:val,
author = "S. Vajda",
year = 1961,
title = mprog,
publisher = " Addison-Wesley"
}
@article{kn:bdmd,
author = "J. W. Bandler and P. A. McDobald",
year = 1969,
title = {Optimization of Microwave Networks by Razor Research},
journal = "IEEE Trans. Microwave Theory Tech.",
volume = 17,
pages = "552-562"
}
@article{kn:watson76,
author = "Watson, G. A.",
year = 1976,
title = {A Method for Calculating Best Non-linear {Chebyshev} Approximations},
journal = "J. Inst. Math. Appl.",
volume = 18,
pages = "351-360"
}
@article{kn:wat,
author = " Watson, G. A.",
year = 1979,
title = {The Minimax Solution of an Overdetermined System of Non-linear
Equations},
journal = "J. Inst. Math. Appl.",
volume = 23,
pages = "167-180"
}
@article{kn:wmf,
author = "R. S. Womersley and R. FLETCHER",
title = {An Algorithm for Composite Nonsmooth Optimization Problems},
journal = "J. Opt. Theory and Applis.",
volume = 48,
year = 1986,
pages ="493-523"
}
@article{kn:cheby,
author = "Chebyshev",
title = " \em Sur les questions de minimum qui se rattachent \`{a}
la r\'{e}pr\'{e}sentation approximative des fonctions",
journal = " Oeuvres",
volume = 1,
address = " St. Petersburg",
year = 1899,
pages = "273-378"
}
@article{kn:mo,
author = "W. Murray and M.L. Overton",
title = {A Projected {Lagrangian} Algorithm for Nonlinear Minimax Optimization},
journal = "SIAM. J. Sci. Stat. Comput.",
volume = 1,
year = 1980,
pages = " 345-370"
}
@book{kn:watson3,
author = "G. A. Watson",
title = " Approximation Theory and Numerical Methods",
publisher = "John Wiley",
year = 1980
}
@book{f,
author = "R. FLETCHER",
year = 1987,
title = "Practical Methods of Optimization",
edition = "second",
publisher = "Wiley-Interscience"
}
@article{w,
author = "P. Wolfe",
title = {A technique for resolving degeneracy in linear programming},
journal = "SIAM Journal",
volume = 11,
year = 1963,
pages = "205-211"
}
@article{ro,
author = "D. M. Ryan and M. R. Osborne",
title = {On the solution of highly degenerate linear programmes},
journal = mprog,
volume = 41,
year = 1988,
pages = "385-392"
}
% addbib - additions from Serge Kruk for China proceedings
@TECHREPORT {St:93,
author = "G.W. STEWART",
title = "On Infinitely Many Algorithms for Solving Equations",
institution = "University of Maryland",
year = "1993",
number = "TR-92-121",
note = "Translation of the 1870 Schr{\"o}der paper"}
@TECHREPORT {PY:86,
author = "M.J.D. POWELL and Y. YUAN",
title = "A trust region algorithm for equality
constrained optimization",
institution = "Department of Applied Mathematics and Theoretical
Physics, University of Cambridge",
year = "1986",
number = "DAMTP 1986/NA2",
address = "Cambridge, England"}
@ARTICLE {VM:90,
author = "G.G. VINING and R.H. MYERS",
title = "Combining Taguchi and Response Surface
Philosophies: A Dual Response Approach" ,
journal = "Journal of Quality Technology",
year = "1990",
volume = "22",
pages = "38-45"}
@ARTICLE {Da:49,
author = "G.B. DANTZIG",
title = "Programming in a linear structure",
journal = "Econometrica",
year = "1949",
volume = "17"}
@ARTICLE {KuTu:51,
author = "H.W. KUHN and A.W. TUCKER",
title = "Nonlinear programming",
journal = "Econometrica",
year = "1951",
volume = "19"}
@BOOK{Be:95,
AUTHOR = "M. J. BEST and K. RITTER ",
TITLE = "Quadratic Programming Active Set Analysis
and Computer Programs",
publisher = "University of Waterloo",
YEAR = 1995
}
@ARTICLE {ElAl:91,
author = "M. EL-ALEM",
title = "A Global convergence theory for the {CDT}
trust-region algorithm for constrained optimization" ,
journal = sinum,
year = "1991",
volume = "28",
pages = "266-290"}
@ARTICLE {FuKo:95b,
author = "T. FUJIE and M. KOJIMA",
title = "Semidefinite Programming Relaxation for
Nonconvex Quadratic Programs" ,
journal = "Technical report",
institution = "Dept. of Information Sciences",
address= "Tokyo Institute of Technology, Tokyo, Japan",
year = "1995",
volume = "",
pages = ""}
@ARTICLE {LySz:94,
author = "S. LYLE and M. SZULARZ",
title = "Local Minima of the Trust Region Problem" ,
journal = jota,
year = "1994",
volume = "80",
pages = "117-134"}
@ARTICLE {Dr:63,
author = "N.R. DRAPER",
title = "Ridge analysis of surface response" ,
journal = "Technometrics",
year = "1959",
volume = "5",
pages = "469-479"}
@ARTICLE {Ho:59,
author = "A.E. HOERL",
title = "Optimal solution of many-variable equations" ,
journal = "Chemical engineering progress",
year = "1959",
volume = "55",
pages = "69-78"}
@ARTICLE {MyCa:73,
author = "R.H. MYERS and W.H. CARTER",
title = "Response surface techniques for Dual Response
Systems",
journal = "Technometrics",
year = "1973",
volume = "15",
pages = "301-317"}
@ARTICLE {PoYu:86,
author = "M.J.D. POWELL and Y. YUAN",
title = "A recursive quadratic programming algorithm that
uses differentiable penalty functions",
journal = "Math. Prog.",
year = "1986",
volume = "7",
pages = "265-278"}
@ARTICLE {Rocka:73,
author = "R.T. ROCKAFELLAR",
title = "Augmented Lagrange Multipliers Functions and
Duality in Nonconvex Programming",
journal = "SIAM Journal on Control",
year = "1973",
volume = "12",
pages = "268-285"}
@ARTICLE {Han:77b,
author = "S.P. HAN",
title = "A globally convergent method for nonlinear programming",
journal = jota,
year = "1977",
volume = "22",
pages = "297-309"}
@article {MaMa:95,
AUTHOR = {MATHIS, F.H. and MATHIS, L.J.},
TITLE = {A nonlinear programming algorithm for hospital management},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review. A Publication of the Society for Industrial and
Applied Mathematics},
VOLUME = {37},
YEAR = {1995},
NUMBER = {2},
PAGES = {230--234},
ISSN = {0036-1445},
CODEN = {SIREAD},
}
@incollection {MR96m:90100,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Fractional programming},
BOOKTITLE = {Handbook of global optimization},
PAGES = {495--608},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {2},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1995},
}
@article {MR84m:90122,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Fractional programming},
JOURNAL = {Z. Oper. Res. Ser. A-B},
FJOURNAL = {Zeitschrift f\"ur Operations Research. Serie A. Serie
B},
VOLUME = {27},
YEAR = {1983},
NUMBER = {1},
PAGES = {39--54},
ISSN = {0340-9422},
MRCLASS = {90C32},
MRNUMBER = {84m:90122},
}
@article {MR84c:90091,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Bibliography in fractional programming},
JOURNAL = {Z. Oper. Res. Ser. A-B},
FJOURNAL = {Zeitschrift f\"ur Operations Research. Serie A. Serie
B},
VOLUME = {26},
YEAR = {1982},
NUMBER = {7},
PAGES = {A211--A241},
ISSN = {0340-9422},
MRCLASS = {90C32 (00A15)},
MRNUMBER = {84c:90091},
}
@incollection {MR83e:90153,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Fractional programming---state of the art},
BOOKTITLE = {Operational research '81 (Hamburg, 1981)},
PAGES = {479--493},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1981},
MRCLASS = {90C32},
MRNUMBER = {83e:90153},
}
@article {Sc:77,
AUTHOR = {SCHAIBLE, S.},
TITLE = {A Note on the Sum of a Linear and a Linear-Fractional Function},
JOURNAL = {Naval Research Logistics Quarterly},
VOLUME = {24},
YEAR = {1977},
PAGES = {691--693},
}
@proceedings {MR83g:90075,
TITLE = {Generalized Concavity in Optimization and Economics},
BOOKTITLE = {Proceedings of the NATO Advanced Study Institute held at
the
University of British Columbia, Vancouver, B.C., August
4--15,
1980},
EDITOR = {SCHAIBLE, S. and ZIEMBA, W.T.},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich
Publishers]},
ADDRESS = {New York},
YEAR = {1981},
PAGES = {xiv+767},
ISBN = {0-12-621120-5},
}
@incollection {MR95g:90004,
AUTHOR = {SCHAIBLE, S.},
TITLE = {Generalized monotonicity---a survey},
BOOKTITLE = {Generalized convexity (P\'ecs, 1992)},
PAGES = {229--249},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1994},
MRCLASS = {90-02 (47N10 49J40 90C33)},
MRNUMBER = {95g:90004},
MRREVR = {Michel Th{\'e}ra},
}
@book {MR89e:90155,
AUTHOR = {AVRIEL, M. and DIEWERT, W.E. and SCHAIBLE,
S. and ZANG, I.},
TITLE = {Generalized concavity},
PUBLISHER = {Plenum Press},
ADDRESS = {New York},
YEAR = {1988},
PAGES = {x+332},
ISBN = {0-306-42656-0},
MRCLASS = {90C25 (26B25 90A10 90A11 90C32)},
MRNUMBER = {89e:90155},
MRREVR = {Jean-Pierre Crouzeix},
}
# The following strings from V. Balakrishnan on SDP and systems control
## were moved to top of file
@book{
Lur:57,
author={A.I. LUR'E},
title={Some Nonlinear Problems in the Theory of Automatic
Control},
publisher={H. M. Stationery Off.},
year={1957},
note={In Russian, 1951.},
address= {London}
}
@article{
Wil:71a,
author="J. C. WILLEMS",
title="Least Squares Stationary Optimal Control and the Algebraic
{R}iccati Equation",
journal=tac,
year=1971,
pages= "621-634",
volume="AC-16",
number=6,
month=dec
}
@article{
PyS:82,
author= {E. S. PYATNITSKII and V. I. SKORODINSKII},
title= {Numerical Methods of {L}yapunov Function Construction and Their
Application to the Absolute Stability Problem},
journal= scl,
year= {1982},
volume= {2},
number= {2},
pages= {130-135},
month= aug
}
@article{
HoB:76,
author= {H. P. HORISBERGER and P. R. B\'ELANGER},
title= {Regulators for Linear, Time Invariant Plants with Uncertain Parameters},
journal= tac,
year= {1976},
volume= {AC-21},
pages= {705-708}
}
@BOOK{Vid:93,
author = {M. VIDYASAGAR},
year = 1993,
title = {Nonlinear Systems Analysis},
edition = {second},
publisher = {Prentice-Hall},
address = {Englewood Cliffs}
}
@book{
DeV:75,
author= {C.A. DESOER and M. VIDYASAGAR},
title= {Feedback Systems: {I}nput-Output Properties},
publisher= {Academic Press},
address= {New York},
year= {1975},
}
# Now from Jon lee
@article {Pad:89,
AUTHOR = {PADBERG, M. W.},
TITLE = {The {B}oolean quadric polytope: {S}ome characteristics, facets
and relatives},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {Ser. B, 45},
YEAR = {1989},
NUMBER = {1},
PAGES = {139--172},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@incollection {AFLW:96,
AUTHOR = {K.M. ANSTREICHER and FAMPA, M. and LEE, J. and
WILLIAMS, J.},
TITLE = {Continuous relaxations for constrained maximum-entropy
sampling},
BOOKTITLE = {Integer Programming and Combinatorial Optimization (Vancouver,
BC, 1996)},
editor = {W.H. Cunningham and T. McCormick and M. Queyranne},
PAGES = {234--248},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {1084},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1996},
}
@article {AFLW:97,
AUTHOR = {K.M. ANSTREICHER and FAMPA, M. and LEE, J. and
WILLIAMS, J.},
title = {Using continuous nonlinear relaxations to
solve constrained maximum-entropy sampling problems},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {Ser. A, 85},
YEAR = {1999},
NUMBER = {2},
PAGES = {221-240},
}
@article {KLQ:95,
AUTHOR = {KO, C.-W. and LEE, J. and QUEYRANNE, M.},
TITLE = {An exact algorithm for maximum entropy sampling},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research. The Journal of the Operations Research
Society of America},
VOLUME = {43},
YEAR = {1995},
NUMBER = {4},
PAGES = {684--691},
ISSN = {0030-364X},
CODEN = {OPREAI},
}
@article {Lee:98,
AUTHOR = {LEE, J.},
TITLE = {Constrained maximum-entropy sampling},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research. The Journal of the Operations Research
Society of America},
VOLUME = {46},
pages = "655-664",
YEAR = {1998},
}
@incollection {KLW:98,
AUTHOR = {KO, C.-W. and LEE, J. and WAYNE, K.},
title = {A spectral bound for {D}-optimality},
BOOKTITLE = {MODA 5 - Advances in Model-Oriented Data
Analysis and Experimental Design (Marseilles, 1998)},
SERIES = {Contributions to Statistics},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
year = {1998},
editor = {A.C. Atkinson and L. Pronzato and H.P. Wynn},
}
@article {Wel:82b,
AUTHOR = {WELCH, W.J.},
TITLE = {Branch-and-bound search for experimental designs based on
{D}-optimality and other criteria},
JOURNAL = {Technometrics},
FJOURNAL = {Technometrics. A Journal of Statistics for the Physical,
Chemical and Engineering Sciences},
VOLUME = {24},
YEAR = {1982},
NUMBER = {1},
PAGES = {41--48},
ISSN = {0040-1706},
CODEN = {TCMTA2},
}
@article {Wel:82a,
AUTHOR = {WELCH, W.J.},
TITLE = {Algorithmic complexity: {T}hree {N}{P}-hard problems in
computational statistics},
JOURNAL = {J. Statist. Comput. Simulation},
FJOURNAL = {Journal of Statistical Computation and Simulation},
VOLUME = {15},
YEAR = {1982},
NUMBER = {1},
PAGES = {17--25},
ISSN = {0094-9655},
CODEN = {JSCSAT},
}
%%% from F. Jarre - start
@incollection{so85,
AUTHOR = "G.\ SONNEVEND",
TITLE = "An {`analytical centre'} for polyhedrons and new classes of
global algorithms for linear {(smooth, convex)} programming",
BOOKTITLE = "System Modelling and Optimization",
NOTE = "Lecture Notes in Control and Information Sciences No. 84",
PUBLISHER = "Springer",
ADDRESS = "Berlin",
YEAR = "1986",
PAGES = "866--875",
}
@techreport{utl,
AUTHOR = " URBAN, T. and TITS, A.L. and LAWRENCE, C.T. ",
TITLE = "A primal-dual interior-point method for nonconvex optimization
with multiple logarithmic barrier parameters and with strong
convergence properties",
TYPE = "Report",
INSTITUTION = "University of Maryland",
ADDRESS = "College Park",
YEAR = "1998",
}
@techreport{vs,
AUTHOR = "R.J.\ VANDERBEI and D.F.\ SHANNO",
TITLE = "An interior point algorithm for nonconvex nonlinear programming",
TYPE = "Report",
NUMBER = "SOR-97-21",
INSTITUTION = "Dept.\ of Statistics and OR, Princeton University",
YEAR = "1997",
}
#%%% from F. Jarre - end
# some from Serge
@book {MR95i:90003, AUTHOR = {Nazareth, J. L.}, TITLE = {The {N}ewton-{C}auchy framework}, NOTE = {A unified approach to unconstrained nonlinear minimization},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {769},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {xii+101},
ISBN = {3-540-57671-1},
}
@article {MR2093387,
AUTHOR = {OBUCHOWSKA, WIES{\L}AWA T.},
TITLE = {Remarks on the analytic centers of convex sets},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {29},
YEAR = {2004},
NUMBER = {1},
PAGES = {60--90},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {52A41 (90C25 90C30)},
MRNUMBER = {MR2093387},
}
@article {MR2031625,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {On the minimizing trajectory of convex functions with
unbounded level sets},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {27},
YEAR = {2004},
NUMBER = {1},
PAGES = {37--52},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C25},
MRNUMBER = {MR2031625 (2004m:90114)},
}
@article {MR95j:90054,
AUTHOR = {OBUCHOWSKA, W.T. and Caron, R.J.},
TITLE = {Minimal representation of quadratically constrained convex
feasible regions},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {68},
YEAR = {1995},
NUMBER = {2, Ser. A},
PAGES = {169--186},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@article {MR1761152,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Minimal representation of convex regions defined by analytic
functions},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {246},
YEAR = {2000},
NUMBER = {1},
PAGES = {100--121},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90Cxx (52A41)},
MRNUMBER = {1 761 152},
}
@article {MR2000f:90049,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Convex constrained programmes with unattained infima},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {234},
YEAR = {1999},
NUMBER = {2},
PAGES = {675--694},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C25 (52A41)},
MRNUMBER = {2000f:90049},
MRREVR = {Jean-Pierre Crouzeix},
}
@article {MR2000e:90083,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {On infeasibility of systems of convex analytic inequalities},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {234},
YEAR = {1999},
NUMBER = {1},
PAGES = {223--245},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C31 (90C08 90C25)},
MRNUMBER = {2000e:90083},
MRREVR = {Henry Wolkowicz},
}
@article {MR99i:90098,
AUTHOR = {ISAC, G. and OBUCHOWSKA, W.T.},
TITLE = {Functions without exceptional family of elements and
complementarity problems},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {99},
YEAR = {1998},
NUMBER = {1},
PAGES = {147--163},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C33},
MRNUMBER = {99i:90098},
MRREVR = {Siegfried Schaible},
}
@article {MR97c:90111,
AUTHOR = {OBUCHOWSKA, W.T. and Caron, R.J.},
TITLE = {Improving the rate of convergence of the logarithmic barrier
function method},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {35},
YEAR = {1995},
NUMBER = {4},
PAGES = {317--332},
ISSN = {0233-1934},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {97c:90111},
}
@article {MR85d:90073,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Certain relations between the global and the conditional
extremum in convex programming},
JOURNAL = {Przeglpolhk ad Statyst.},
FJOURNAL = {Polska Akademia Nauk. Komitet Statystyki i Ekonometrii.
Przeglpolhk ad Statystyczny},
VOLUME = {29},
YEAR = {1982},
NUMBER = {1-2},
PAGES = {231--238 (1983)},
ISSN = {0033-2372},
CODEN = {PZSTAD},
MRCLASS = {90C25},
MRNUMBER = {85d:90073},
}
@article {MR84h:62093,
AUTHOR = {OBUCHOWSKA, WIES{\L}AWA},
TITLE = {Some properties of a correlation matrix which is majorized and
minorized by a neutral matrix},
JOURNAL = {Przeglpolhk ad Statyst.},
FJOURNAL = {Polska Akademia Nauk. Komitet Statystyki i Ekonometrii.
Przeglpolhk ad Statystyczny},
VOLUME = {27},
YEAR = {1980},
NUMBER = {3-4},
PAGES = {271--278 (1982)},
ISSN = {0033-2372},
CODEN = {PZSTAD},
MRCLASS = {62H20 (62H05)},
MRNUMBER = {84h:62093},
MRREVR = {M. Hu{\v{s}}kov{\'a}},
}
@book {MR56:17985,
AUTHOR = {Jacobson, David H.},
TITLE = {Extensions of linear-quadratic control, optimization
and matrix theory},
NOTE = {Mathematics in Science and Engineering, Vol. 133},
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich
Publishers]},
ADDRESS = {London},
YEAR = 1977,
PAGES = {x+217},
}
@article {MR88e:49045,
AUTHOR = {Rockafellar, R. T.},
TITLE = {Linear-quadratic programming and optimal control},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {Society for Industrial and Applied
Mathematics. Journal on Control and Optimization},
VOLUME = 25,
YEAR = 1987,
NUMBER = 3,
PAGES = {781--814},
ISSN = {0363-0129},
CODEN = {SJCODC},
}
@incollection {MR91j:93083,
AUTHOR = {Rapoport, L. B.},
TITLE = {Positive definiteness of a quadratic form under
quadratic constraints and absolute stability of
nonlinear control systems},
BOOKTITLE = {Qualitative theory of differential equations
(Szeged, 1988)},
PAGES = {567--576},
SERIES = {Colloq. Math. Soc. J\'anos Bolyai},
VOLUME = 53,
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = 1990,
}
@article {MR97d:90069,
AUTHOR = {Preisig, J. C.},
TITLE = {Copositivity and the minimization of quadratic
functions with nonnegativity and quadratic equality
constraints},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {SIAM Journal on Control and Optimization},
VOLUME = 34,
YEAR = 1996,
NUMBER = 4,
PAGES = {1135--1150},
ISSN = {0363-0129},
CODEN = {SJCODE},
}
@article {MR96m:49066,
AUTHOR = {Matveev, A. S.},
TITLE = {Lagrangian duality in the theory of nonconvex
optimization, and modifications of the
{T}oeplitz-{H}ausdorff theorem},
JOURNAL = {Algebra i Analiz},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
VOLUME = 7,
YEAR = 1995,
NUMBER = 5,
PAGES = {143--181},
ISSN = {0234-0852},
}
@Article{Park:1988:RNG,
author = "Stephen K. Park and Keith W. Miller",
title = "Random Number Generators: Good Ones are Hard to Find",
journal = "Communications of the ACM",
volume = "31",
number = "10",
pages = "1192--1201",
month = oct,
year = "1988",
coden = "CACMA2",
ISSN = "0001-0782",
mrclass = "65C10 (11K45)",
mrnumber = "91h:65012",
bibdate = "Sat Apr 06 08:06:30 1996",
url = "http://www.acm.org/pubs/toc/Abstracts/0001-0782/63042.html",
acknowledgement = ack-nhfb,
annote = "Practical and theoretical issues are presented
concerning the design, implementation, and use of a
good, minimal standard random number generator that
will port to virtually all systems.",
country = "USA",
descriptors = "Random number; random number testing; Pseudo-random
generator",
keywords = "algorithms; design; performance; standardization;
theory",
language = "English",
references = "47",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Random number generation. {\bf D.2.0}:
Software, SOFTWARE ENGINEERING, General, Standards.
{\bf K.6.2}: Computing Milieux, MANAGEMENT OF COMPUTING
AND INFORMATION SYSTEMS, Installation Management.",
}
@Article{BlBlSh86,
author = "M. Blum and L. Blum and M. Shub",
title = "A simple and secure pseudo-random number generator",
journal = "SIAM Journal on Computing",
year = "1986",
pages = "364--383",
volume = "15",
note = "Two pseudo-random sequence generators are presented
which, from small seeds, generate long well-distributed
sequences. The first, $1/P$ generator, is completely
predictable from a small segment of its output. The
second, $x^2 \pmod N$ generator, is {\it
cryptographically secure} as its sequence is
polynomial-time unpredictable (if quadratic residuacity
problem is indeed hard).",
}
@Article{BlMi84,
author = "M. Blum and S. Micali",
title = "How to generate cryptographically strong sequence of
pseudo-random bits",
journal = "SIAM Journal on Computing",
year = "1984",
pages = "850--864",
volume = "13",
note = "This paper introduces the notion of cryptographically
secure pseudo-random number generator.",
}
@Article{Marsaglia93,
author = "G. Marsaglia",
title = "Remarks on choosing and implementing random number
generators.",
journal = "Comm. A.C.M.",
volume = "36",
number = "7",
pages = "105--110",
month = jul,
year = "1993",
keywords = "random number generator, RNG, pseudo PRNG",
abstract = "via enews",
}
@article {MR52:5711,
AUTHOR = {MARSAGLIA, G. and STYAN, G.P.H.},
TITLE = {Equalities and inequalities for ranks of matrices},
JOURNAL = {Linear and Multilinear Algebra},
VOLUME = {2},
YEAR = {1974/75},
PAGES = {269--292},
MRCLASS = {15A45},
MRNUMBER = {52 \#5711},
MRREVIEWER = {A. R. Amir-Moez},
}
@article {MR52:5699,
AUTHOR = {Marsaglia, George and Styan, George P. H.},
TITLE = {Rank conditions for generalized inverses of partitioned
matrices},
JOURNAL = {Sankhy\=a Ser. A},
VOLUME = {36},
YEAR = {1974},
NUMBER = {4},
PAGES = {437--442},
MRCLASS = {15A09},
MRNUMBER = {52 \#5699},
MRREVIEWER = {Thomas L. Boullion},
}
@article {MR47:236,
AUTHOR = {Marsaglia, G. and Styan, G. P. H.},
TITLE = {When does ${\rm rank}\ ({A}+{B})={\rm rank}({A})+{\rm
rank}({B})$?},
JOURNAL = {Canad. Math. Bull.},
VOLUME = {15},
YEAR = {1972},
PAGES = {451--452},
MRCLASS = {15A03},
MRNUMBER = {47 \#236},
MRREVIEWER = {A. R. Amir-Moez},
}
@Article{Mitchell93a,
author = "Mitchell",
title = "A Nonlinear Random Number Generator with Known, Long
Cycle Length",
journal = "CRYPTOLOGIA: Cryptologia",
volume = "17",
year = "1993",
}
@proceedings {MR97k:94002,
TITLE = {Advances in cryptology---{C}{R}{Y}{P}{T}{O} '95},
BOOKTITLE = {Proceedings of the 15th Annual International Cryptology
Conference held at the University of California, Santa Barbara,
CA, August 27--31, 1995},
EDITOR = {Coppersmith, Don},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {963},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1995},
PAGES = {xii+467},
ISBN = {3-540-60221-6},
}
@incollection {MR91d:68051,
AUTHOR = {Micali, S. and Schnorr, C.-P.},
TITLE = {Efficient, perfect random number generators},
BOOKTITLE = {Advances in cryptology---CRYPTO '88 (Santa Barbara, CA, 1988)},
PAGES = {173--198},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {403},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1990},
}
@incollection {MR85i:94017,
AUTHOR = {Sloane, N. J. A.},
TITLE = {Encrypting by random rotations},
BOOKTITLE = {Cryptography (Burg Feuerstein, 1982)},
PAGES = {71--128},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {149},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1983},
}
@article {MR90g:94015,
AUTHOR = {Matthews, Robert},
TITLE = {On the derivation of a ``chaotic'' encryption algorithm},
JOURNAL = {Cryptologia},
FJOURNAL = {Cryptologia},
VOLUME = {13},
YEAR = {1989},
NUMBER = {1},
PAGES = {29--42},
ISSN = {0161-1194},
}
@article {MR92b:94035,
AUTHOR = {Ritter, Terry},
TITLE = {The efficient generation of cryptographic confusion sequences},
JOURNAL = {Cryptologia},
FJOURNAL = {Cryptologia},
VOLUME = {15},
YEAR = {1991},
NUMBER = {2},
PAGES = {81--139},
ISSN = {0161-1194},
}
@Book{knut:81,
author = "D. E. Knuth",
year = "1981",
title = "The Art of Computer Programming {II}: Seminumerical
Algorithms",
edition = "Second",
publisher = "Addison--Wesley",
address = "Reading, Massachusetts",
kwds = "cs, na, book, random numbers, computer arithmetic",
}
@InProceedings{Plumstead83b,
oldtag = "Plumstead83",
author = "Joan B. Plumstead",
title = "Inferring a Sequence Produced by a Linear Congruence",
pages = "317--319",
booktitle = "Proc.\ CRYPTO 82",
editor = "R. L. Rivest and A. Sherman and D. Chaum",
publisher = "Plenum Press",
address = "New York",
year = "1983",
comment = "Abstract of the FOCS '82 paper",
}
@Article{Shamir83,
author = "A. Shamir",
title = "On the Generation of Cryptographically Strong
Pseudorandom Sequences",
journal = "ACM Trans. on Computer Sys.",
volume = "1",
number = "1",
pages = "38",
month = feb,
year = "1983",
keywords = "TOCS",
}
@InCollection{KnuYao76,
author = "Knuth and Yao",
title = "The Complexity of Nonuniform Random Number
Generation",
booktitle = "Algorithms and Complexity: New Directions and Recent
Results, Ed. J. F. Traub, Academic Press",
year = "1976",
}
@incollection {MR780384,
AUTHOR = {Yao, Andrew C.},
TITLE = {Theory and applications of trapdoor functions},
BOOKTITLE = {23rd annual symposium on foundations of computer science
(Chicago, Ill., 1982)},
PAGES = {80--91},
PUBLISHER = {IEEE},
ADDRESS = {New York},
YEAR = {1982},
}
@TechReport{BeYeZh:98,
author = {Benson, S. J. and Ye, Y. and Zhang, X.},
title = {Solving Large-Scale Semidefinite Programs for Combinatorial Optimization},
institution = {University of Iowa},
year = {1998},
month = {May},
}
@TechReport{MoTs:98,
author = {Monteiro, R and Tsuchiya T},
title = {Polynomial Convergence of a New Family of Primal-Dual Algorithms for Semidefinite Programming},
institution = {Georgia Institute of Technology},
year = {1998},
month = {January},
}
@BOOK{Vid:93,
author = {M. Vidyasagar},
year = 1993,
title = {Nonlinear Systems Analysis},
edition = {second},
publisher = {Prentice-Hall},
address = {Englewood Cliffs}
}
@ARTICLE{GAC:96,
author = {P. GAHINET and P. APKARIAN and M. CHILALI},
month = mar,
year = 1996,
title = {Affine Parameter-Dependent {L}yapunov Functions for Real Parameter
Uncertainty},
journal = tac,
volume = 41,
number = 3,
pages = {436-442}
}
@article{AGB:95,
author={P. APKARIAN and P. GAHINET and G. BECKER},
title={Self-Scheduled {${\cal H}_{\infty}$} Control of Linear
Parameter-Varying Systems: A Design Example},
journal=aut,
mon=sep,
year=1995,
volume=31,
number=9,
pages={1251-1261}
}
@phdthesis{Bec:93,
author= {G. BECKER},
title= { Quadratic Stability and Performance
of Linear Parameter Dependent Systems},
school= {University of California, Berkeley},
year= {1993}
}
@ARTICLE{YuS:97,
author = {{J. YU and A. SIDERIS}},
year = 1997,
title = {{$H_\infty$ control with parametric {L}yapunov functions}},
journal = scl,
volume = 30,
pages = {57-69}
}
@ARTICLE{ElS:96,
author = {L.~EL~GHAOUI and G. SCORLETTI},
month = sep,
year = 1996,
title = {Control of Rational Systems using {L}inear-{F}ractional
{R}epresentations and {L}inear {M}atrix {I}nequalities},
journal = {Automatica},
volume = 32,
number = 9
}
@phdthesis{You:93,
author={P. M. Young},
title= {{R}obustness with {P}arametric and
{D}ynamic {U}ncertainty},
school={California Institute of Technology},
year={1993},
address={Pasadena, CA 91125},
month=may
}
@article{
Pac:94,
author={A. PACKARD},
title={Gain Scheduling via Linear Fractional Transformations},
journal=scl,
volume = {22},
pages={79-92},
year={1994}
}
@manual{mutools,
author= {G. BALAS and J. C. DOYLE and K. GLOVER and A. PACKARD
and R. SMITH},
title= {$\mu$-analysis and synthesis},
organization= {MUSYN, inc., and The Mathworks, Inc.},
year= {1991}
}
@ARTICLE{MeR:97,
author = {A. MEGRETSKI and A. RANTZER},
month = Jun,
year = 1997,
title = {System Analysis via Integral Quadratic Constraints},
journal = tac,
volume = {42},
number = {6},
pages = {819-830},
}
@inproceedings{EBFB:92,
author={L. {EL~GHAOUI} and V. BALAKRISH and E. FERON and S. BOYD},
title={On Maximizing a Robustness Measure for Structured Nonlinear
Perturbations},
booktitle=acc,
year={1992},
pages={2923-2924},
volume = {4},
address={Chicago},
month=jun
}
@ARTICLE{Bal:95,
author = {V. BALAKRISH},
year = 1995,
title = {Linear Matrix Inequalities in Robustness Analysis with Multipliers},
journal = scl,
volume = 25,
number = 4,
pages = {265-272}
}
@techreport{CTB1:97,
author={Y.S. CHOU and A.L. TITS and V. BALAKRISH},
title= {Absolute Stability
Theory, Theory, and State-Space Verification of Frequency-Domain
Conditions: Connections and Implications for
Computation},
institution={Institute for Systems Research, University of
Maryland},
number = {TR 97-23},
note = {Accepted for publication in {\it IEEE Trans.\ Aut.\
Control}, 1998.},
year=1997
}
@article{ShA:90,
author={J. S. SHAMMA and M. ATHANS},
title={Analysis of Gain Scheduled Control for Nonlinear Plants},
journal=tac,
number = 8,
volume=35,
pages = {898-907},
year = 1990,
month = Aug
}
@article{ShA:92,
author={J. S. SHAMMA and M. ATHANS},
title={Gain Scheduling: Potential Hazards and Possible Remedies},
journal= csm,
pages = {101-107},
year = {1992},
month = "June"
}
@article{
WYPB:94,
author={F. WU and X. H. YANG and A. PACKARD and G. BECKER},
title={Induced {${\bf L}_2$}-Norm Control for {LPV} System
with Bounded Parameter Variation Rates},
journal=ijrnc,
month=dec,
year=1994,
}
@article{
AG:95,
author={P. APKARIAN and P. GAHINET},
title={A Convex Characterization of Gain-Scheduled
{${\cal H}_{\infty}$} Controllers},
journal=tac,
volume={AC-40},
number=5,
pages={853-864},
mon=may,
year=1995
}
@manual{
Kmtools,
author= {R. CHIANG and M.G. SAFONOV},
title= {Robust Control Toolbox},
organization= {The Mathworks, Inc.},
year= {1992}
}
@article{
FTD:91,
author={M.K. H. FAN and A.L. TITS and J.C. DOYLE},
title={Robustness in the presence of mixed parametric
uncertainty and unmodeled dynamics},
journal=tac,
year={1991},
volume={AC-36},
number={1},
pages={25-38},
month=jan
}
@book{ Wu:95,
author={F. WU},
title={Control of Linear Parameter Varying Systems},
publisher={Engineering-Mechanical Eng.\ Dept., University of California
Berkeley},
series={Doctoral Dissertation},
year={1995}
}
@ARTICLE{FAG:96,
author = {E. FERON, P. APKARIAN and P. GAHINET},
month = jul,
year = 1996,
title = {Analysis and Synthesis of Robust Control Systems via
Parameter-Dependent {L}yapunov Functions},
journal = tac,
volume = 41,
number = 7,
pages = {1041-1046}
}
@incollection{
SaC:93,
author="M.G. SAFONOV and R. Y. CHIANG",
title="Real/Complex {$K_m$}-Synthesis without Curve Fitting",
booktitle="Control and Dynamic Systems",
volume="56",
part="2",
pages="303--324",
editor="C. T. Leondes",
publisher="Academic Press",
address="New York",
year="1993",
}
@article{
Sch:96,
author= {C. SCHERER},
title= {Mixed {$H_2$/$H_\infty$} control for time-varying and
linear para\-metrically-varying systems},
journal= ijrnc,
year=1996,
volume = 6,
month = {Nov--Dec},
number = {9/10},
pages = {929-952}
}
@ARTICLE{GaA:94,
author = {P. GAHINET and P. APKARIAN},
year = 1994,
title = {A Linear Matrix Inequality Approach to ${H}^\infty$ Control},
journal = ijrnc,
volume = 4,
pages = {421-448},
note = {}
}
@BOOK{ZDG:96,
author = {{K. ZHOU with J. DOYLE} and K. GLOVER},
year = 1996,
title = {Robust and Optimal Control},
note = {},
publisher = {Prentice Hall}
}
@article{Ran:96,
author = {A. RANTZER},
title = {On the {Kalman}-{Yakubovich}-{Popov} {L}emma},
journal = scl,
year = 1996,
volume = 28,
number = 1,
pages = {7-10}
}
@article{ApA:98,
author = {P. APKARIAN and R.J. ADAMS},
title = {Advanced Gain-Scheduled Techniques for Uncertain Systems},
journal = tcst,
year = 1998,
month = jan,
volume = {6},
number = 1,
pages = {21-32}
}
@inproceedings{Sch:96a,
author = {C. SCHERER},
title = {Robust generalized ${H}_2$ control for uncertain and {LPV} systems with general scalings},
booktitle = cdc,
year = 1996,
month = dec,
address = { },
pages = {3970-3975}
}
@article{ChG:95,
author = {M. CHILALI and P. GAHINET},
title = {${H}_\infty$ design with pole placement constraints: An LMI approach},
journal = tac,
year = 1995,
month = mar,
volume = 40,
number = 3,
pages = {358-367}
}
@book{AnV:73,
author={B. ANDERSON and S. VONGPANITLERD},
title={Network analysis and synthesis:
a modern systems theory approach},
publisher={Prentice-Hall},
year={1973}
}
@book{
GrL:95,
author={M. GREEN and D. J. N. LIMEBEER},
title={Linear Robust Control},
publisher={Prentice Hall},
year={1995},
notes={},
volume={},
series={Information and System sciences},
address={Englewood Cliffs, NJ},
edition={},
month={}
}
@article{
Yak:64,
author={V.A. YAKUBOVICH},
title={Solution of certain matrix inequalities
encountered in nonlinear control
theory},
journal={Soviet Math. Dokl.},
year={1964},
volume={5},
pages={652-656}
}
@article{
Kal:63,
author= {R.E. KALMAN},
title= { {L}yapunov Functions for the Problem of {L}ur'e in Automatic Control},
journal= {Proc. Nat. Acad. Sci., USA},
volume= {49},
pages= {201-205},
year= {1963}
}
@inproceedings{
Kal:63a,
author= {R.E. KALMAN},
title= {On a New Characterization of Linear Passive Systems},
booktitle= { Proc. First Annual Allerton Conf. on Communication,
Control and Computing},
pages= {456-470},
year= {1963}
}
@article{
Doy:82,
author= {J. DOYLE},
title= {Analysis of Feedback Systems with Structured Uncertainties},
journal= ieep,
volume= {129-D},
number= {6},
year= {1982},
pages= {242-250},
month= nov
}
@article{
Saf:82,
author= {M.G. SAFONOV},
title= {Stability margins of diagonally perturbed
multivariable feedback systems},
journal= ieep,
volume= {129-D},
number= {6},
year= {1982},
month= nov,
pages= {251-256}
}
# Gauss-Seidel related papers follow
@article {MR2001a:90061,
AUTHOR = {GRIPPO, L. and SCIANDRONE, M.},
TITLE = {On the convergence of the block nonlinear {G}auss-{S}eidel
method under convex constraints},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {26},
YEAR = {2000},
NUMBER = {3},
PAGES = {127--136},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {2001a:90061},
MRREVIEWER = {Zun Quan Xia},
}
@article {MR2001a:65118,
AUTHOR = {Korsawe, Johannes and Starke, Gerhard},
TITLE = {Multilevel projection methods for nonlinear least-squares
finite element computations},
NOTE = {Multilevel methods (Copper Mountain, CO, 1999)},
JOURNAL = {Electron. Trans. Numer. Anal.},
FJOURNAL = {Electronic Transactions on Numerical Analysis},
VOLUME = {10},
YEAR = {2000},
PAGES = {56--73 (electronic)},
ISSN = {1068-9613},
MRCLASS = {65M60 (65M55)},
MRNUMBER = {2001a:65118},
}
@incollection {MR2000m:90027,
AUTHOR = {Auslender, Alfred and Teboulle, Marc and Ben-Tiba, Sami},
TITLE = {Coupling the logarithmic-quadratic proximal method and the
block nonlinear {G}auss-{S}eidel algorithm for linearly
constrained convex minimization},
BOOKTITLE = {Ill-posed variational problems and regularization
techniques
(Trier, 1998)},
SERIES = {Lecture Notes in Econom. and Math. Systems},
VOLUME = {477},
PAGES = {35--47},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1999},
MRCLASS = {90C25 (90C08)},
MRNUMBER = {2000m:90027},
MRREVIEWER = {K. Zimmermann},
}
@article {MR99e:65049,
AUTHOR = {Bai, Zhong Zhi},
TITLE = {Asynchronous parallel nonlinear symmetric {G}auss-{S}eidel
iteration methods},
JOURNAL = {Math. Numer. Sin.},
FJOURNAL = {Mathematica Numerica Sinica. Jisuan Shuxue},
VOLUME = {20},
YEAR = {1998},
NUMBER = {2},
PAGES = {187--200},
ISSN = {0254-7791},
MRCLASS = {65F10},
MRNUMBER = {99e:65049},
}
#################################start student papers##################
@inproceedings{chKruklip:02a,
AUTHOR = "E. CHENG and S. KRUK and M. LIPMAN",
TITLE = "Flow Formulations for the Student Scheduling Problem",
bookTITLE = " Proceedings of the 4th international conference on the
Practice and Theory of Automated Timetabling",
publisher = "-",
NUMBER = "298-308",
YEAR = "2002",
}
@article{chKruklip:02b,
AUTHOR = "E. CHENG and S. KRUK and M. LIPMAN",
title="An Optimization Formulation for the existence of Complete
Spheres-of-Influence graphs",
journal="Congressus Numerantium",
year="2002",
}
@TECHREPORT {DrorKruk:02,
author = "M. DROR and S. KRUK",
title = "Semidefinite Models of Centralized Inventory",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
year = "2002",
number = "2002-3"}
@TECHREPORT {BausKruk:02,
author = "H. BAUSCHKE and S. KRUK",
title = "The method of reflection-projection for convex
feasibility problems with an obtuse cone",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
note = "to appear in JOTA",
year = "2002",
number = "2002-4"}
@TECHREPORT {BausCombKruk:02,
author = "H. BAUSCHKE and P.L. COMBETTES and S. KRUK",
title = "Solving large, sparse linear programs
using projections",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
note = "to appear in JOTA",
year = "2002",
number = "2002-6"}
#################################end student papers##################
#################################procrustes references##################
@article {MR2003f:65114,
AUTHOR = {Del Buono, N. and Lopez, L.},
TITLE = {Geometric integration on manifold of square oblique
rotation
matrices},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {23},
YEAR = {2002},
NUMBER = {4},
PAGES = {974--989 (electronic)},
ISSN = {1095-7162},
MRCLASS = {65L05 (34A34 34C40 37M99 65F99)},
MRNUMBER = {2003f:65114},
}
@article {MR2003b:90071,
AUTHOR = {Trendafilov, Nickolay T. and Lippert, Ross A.},
TITLE = {The multimode {P}rocrustes problem},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {349},
YEAR = {2002},
PAGES = {245--264},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C25 (65K10)},
MRNUMBER = {2003b:90071},
}
@article {MR95f:65072,
AUTHOR = {Watson, G. A.},
TITLE = {The solution of orthogonal {P}rocrustes problems for a
family
of orthogonally invariant norms},
JOURNAL = {Adv. Comput. Math.},
FJOURNAL = {Advances in Computational Mathematics},
VOLUME = {2},
YEAR = {1994},
NUMBER = {4},
PAGES = {393--405},
ISSN = {1019-7168},
MRCLASS = {65F10 (65F25)},
MRNUMBER = {95f:65072},
MRREVIEWER = {Hongyuan Zha},
}
@article {MR93e:62140,
AUTHOR = {Kiers, Henk A. L. and ten Berge, Jos M. F.},
TITLE = {Minimization of a class of matrix trace functions by means
of
refined majorization},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal of Quantitative Psychology},
VOLUME = {57},
YEAR = {1992},
NUMBER = {3},
PAGES = {371--382},
ISSN = {0033-3123},
CODEN = {PSYKA2},
MRCLASS = {62H05 (62P15)},
MRNUMBER = {93e:62140},
}
@article {MR93g:65055,
AUTHOR = {Arun, K. S.},
TITLE = {A unitarily constrained total least squares problem in
signal
processing},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {13},
YEAR = {1992},
NUMBER = {3},
PAGES = {729--745},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F20 (15A18)},
MRNUMBER = {93g:65055},
MRREVIEWER = {Zden{\v{e}}k Strako{\v{s}}},
}
@article {MR89g:15016,
AUTHOR = {Shapiro, A. and Botha, J. D.},
TITLE = {Dual algorithms for orthogonal {P}rocrustes rotations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {9},
YEAR = {1988},
NUMBER = {3},
PAGES = {378--383},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A42 (15A15 93B60)},
MRNUMBER = {89g:15016},
MRREVIEWER = {M. M. Konstantinov},
}
#################################end procrustes references##################
#################################partial separability
@article {MR2089056,
AUTHOR = {Altangerel, L. and Bo{\c{t}}, R. I. and Wanka, G.},
TITLE = {Duality for convex partially separable optimization problems},
JOURNAL = {Mong. Math. J.},
FJOURNAL = {Mongolian Mathematical Journal},
VOLUME = {7},
YEAR = {2003},
PAGES = {1--18},
MRCLASS = {90C25 (90C46)},
MRNUMBER = {MR2089056 (2005d:90089)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR1480634,
AUTHOR = {Dayd{\'e}, Michel J. and L'Excellent, Jean-Yves and Gould,
N.I.M.},
TITLE = {Element-by-element preconditioners for large partially
separable optimization problems},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {18},
YEAR = {1997},
NUMBER = {6},
PAGES = {1767--1787},
ISSN = {1064-8275},
CODEN = {SJOCE3},
MRCLASS = {90C30},
MRNUMBER = {MR1480634 (98j:90070)},
MRREVIEWER = {K. Schittkowski},
}
@incollection {MR1307166,
AUTHOR = {Conn, Andrew R. and Gould, Nick and Toint, Philippe L.},
TITLE = {Improving the decomposition of partially separable functions
in the context of large-scale optimization: a first approach},
BOOKTITLE = {Large scale optimization (Gainesville, FL, 1993)},
PAGES = {82--94},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1994},
MRCLASS = {90C30 (90C25)},
MRNUMBER = {MR1307166},
}
@incollection {MR1282736,
AUTHOR = {Conn, A. R. and Gould, Nick and Lescrenier, M. and Toint, Ph.
L.},
TITLE = {Performance of a multifrontal scheme for partially separable
optimization},
BOOKTITLE = {Advances in optimization and numerical analysis (Oaxaca,
1992)},
SERIES = {Math. Appl.},
VOLUME = {275},
PAGES = {79--96},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1994},
MRCLASS = {90C30},
MRNUMBER = {MR1282736 (95a:90118)},
}
@article {MR1152480,
AUTHOR = {Schmidt, J. W.},
TITLE = {Dual algorithms for solving convex partially separable
optimization problems},
JOURNAL = {Jahresber. Deutsch. Math.-Verein.},
FJOURNAL = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
VOLUME = {94},
YEAR = {1992},
NUMBER = {1},
PAGES = {40--62},
ISSN = {0012-0456},
CODEN = {JDMVA7},
MRCLASS = {90C30 (41A15 49N15 65D07)},
MRNUMBER = {MR1152480 (93c:90084)},
MRREVIEWER = {Blagun Kalchev},
}
@article {MR866412,
AUTHOR = {Toint, Ph. L.},
TITLE = {Global convergence of the partitioned {BFGS} algorithm for
convex partially separable optimization},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {36},
YEAR = {1986},
NUMBER = {3},
PAGES = {290--306},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C25 (65K05)},
MRNUMBER = {MR866412 (88a:90160)},
MRREVIEWER = {Pierre Loridan},
}
#################################end partial separability
# This file contains papers related to semidefinite programming, SDP.
# This file is also available at:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
# as part of: Bibliographies on Mathematics
# Bibliography on Semidefinite Programming
# with URL http://liinwww.ira.uka.de/bibliography/Math/psd.html
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
###########
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@mastersthesis {Aarts:99,
author = "L. AARTS",
title = "Primal-Dual Search Directions in Semidefinite
Optimization",
school = "Delft University of Technology",
year = "1999"}
@article {MR98d:90100,
AUTHOR = {El Abdouni, B. and Thibault, L.},
TITLE = {Optimality conditions for problems with set-valued
objectives},
JOURNAL = {J. Appl. Anal.},
FJOURNAL = {Journal of Applied Analysis},
VOLUME = {2},
YEAR = {1996},
NUMBER = {2},
PAGES = {183--201},
ISSN = {1425-6908},
MRCLASS = {90C29 (49J52)},
MRNUMBER = {98d:90100},
MRREVIEWER = {Tetsuzo Tanino},
}
@TECHREPORT {AdlerAliz:95,
author = "I. ADLER and F. ALIZADEH",
title = "Primal-dual interior point algorithms for convex
quadratically constrained and semidefinite optimization problems",
year = "1995",
institution = "Rutcor, Rutgers University",
address = " New Brunswick, NJ"
}
@article{AdlerMonteiro,
author = {I. ADLER and R.D.C. MONTEIRO},
title = {A geometric view of parametric linear
programming},
journal = {Algorithmica},
volume = 8,
pages = {161-176},
year = 1992}
@article {AgHeMc:88,
author = "J. AGLER and J.W. HELTON and S. McCULLOUGH",
title = "Positive semidefinite matrices with a given
sparsity pattern",
journal = laa,
year = "1988",
volume = "107",
number = "3",
pages = "101-149"
}
@PHDTHESIS {Alhom:93,
author = "S. AL-HOMIDAN",
title = "Hybrid methods for optimization problems
with positive semidefinite matrix constraints",
school = "University of Dundee",
year = "1993"}
@techreport {homidan:03,
author = "M.M. ALSHAHRANI and S. AL-HOMIDAN",
title = "New Formulations of the Hankel Matrix Approximation
Problem",
institution = "King Fahd University of Petroleum \& Minerals",
address = "Dhahran, Saudia Arabia",
year = "2003"
}
@article {Alfak:00,
author = "A. ALFAKIH",
title = "Graph rigidity via {E}uclidean distance
matrices",
journal = laa,
year = "2000",
pages = "49-165",
number = "1-3",
volume = "310",
}
@PHDTHESIS {Al:91,
author = "F. ALIZADEH",
title = "Combinatorial optimization with interior
point methods and semidefinite matrices",
school = "University of Minnesota",
year = "1991"}
@INCOLLECTION {Al:92,
author = "F. ALIZADEH",
title = "Optimization Over Positive Semi-Definite Cone;
Interior-Point Methods and Combinatorial Applications",
booktitle = "Advances in Optimization and
Parallel Computing",
publisher = "North--Holland",
year = "1992",
editor = "P.M. Pardalos",
pages = "1-25",
}
@techreport {Alizadehnotes:00,
author = "F. ALIZADEH",
title = "Lecture Notes on semidefinite programming",
institution = "Rutgers University",
address = " Piscataway, NJ",
note = "URL: http://karush.rutgers.edu/\~{ }alizadeh/",
year = "2000"
}
@INPROCEEDINGS {Aliz:92,
author = "F. ALIZADEH",
title = "Combinatorial optimization with
semidefinite matrices",
year = "1992",
booktitle = "Proceedings of the Second Annual Integer
Programming and Combinatorial Optimization Conference",
address = "Carnegie-Mellon University"}
@INPROCEEDINGS {MobTahSotKhan:05,
author = "A. MOBASHER and M. TAHERZADEH and R. SOTIROV and
A.K. KHANDANI",
title = "An efficient quasi-maximum likelihood decoding for
finite constellations",
year = "2005",
booktitle = "Conference on Information Sciences and Systems
(CISS)",
address = ""}
@TECHREPORT {Alizadeh:92,
author = "F. ALIZADEH",
title = "Semidefinite programming: duality theory,
eigenvalue optimization and combinatorial applications",
year = "1992",
institution = "Stanford University",
note = " Presented at the Fourth SIAM Conference on
Optimization, 1992"
}
@inproceedings {AlHaOv:94,
author = "F. ALIZADEH and J-P.A. HAEBERLY and M.L. Overton",
title = "A new primal-dual interior-point method for
semidefinite programming",
booktitle="Proceedings of the Fifth SIAM Conference on Applied Linear
Algebra",
editor = "J.G. Lewis",
year = "1994",
publisher = "SIAM",
pages = "113-117",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming"
}
@article {AlHaOv:95,
author = "F. ALIZADEH and J-P.A. HAEBERLY and M.L. Overton",
title = "Complementarity and nondegeneracy in semidefinite
programming",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = mprog,
year = "1997",
volume = "77",
pages = "111-128"
}
@TechReport{AHNOS97,
author = {F.~ALIZADEH and J.--P.~HAEBERLY and
M.V.~Nayakkankuppam and M.L.~Overton and
S.H. SCHMIETA},
title = {{SDP}pack User's Guide -- Version 0.9 {B}eta},
institution = {Courant Institute of Mathematical Sciences, NYU},
year = 1997,
number = {TR1997--737},
address = {New York, NY},
month = {June}
}
@TechReport{ASch:98,
author = {F.~ALIZADEH and S.H. SCHMIETA},
title = {Optimization with Semidefinite, Quadratic and Linear
Constraints},
institution = {RUTCOR, Rutgers University},
year = 1997,
number = {RRR23--97},
address = {New Brunswick, NJ},
month = {November}
}
@TechReport{AlkireVanden:00,
author = {B. ALKIRE and L. VANDENBERGHE},
title = {Handling Nonnegative Constraints in Spectral
Estimation},
institution = {Electrical Engineering Department, UCLA},
year = {2000},
address = {Los Angeles, CA},
month = {October}
}
@TechReport{AlkireVanden:01,
author = {B. ALKIRE and L. VANDENBERGHE},
title = {Convex optimization problems involving finite
autocorrelation sequences},
institution = {Electrical Engineering Department, UCLA},
year = {2001},
address = {Los Angeles, CA},
month = {January}
}
@article {An, author = "T. ANDO",
title = "Concavity of certain maps and positive definite
matrices and applications to {H}adamard products",
journal = laa,
year = "1979",
volume = "26",
pages = "203-241"
}
@article {Ando:04, author = "T. ANDO",
title = "Cones and norms in the tensor product of matrix
spaces",
journal = laa,
year = "2004",
volume = "379",
pages = "3-41"
}
@article {MR95k:15023,
AUTHOR = {ANDO, T. and HIAI, F.},
TITLE = {Inequality between powers of positive semidefinite
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {208/209},
YEAR = {1994},
PAGES = {65--71},
ISSN = {0024-3795},
CODEN = {LAAPAW},
}
@article {ArbenzDrmac:02,
AUTHOR = {P. ARBENZ and Z. DRMAC},
TITLE = {On Positive Semidefinite Matrices with Known Null Space},
JOURNAL = simax,
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {24},
YEAR = {2002},
PAGES = {132--149},
number={1},
}
@techreport {ArmandGilbertJan:01,
author = "P. ARMAND and J.C. GILBERT and S. JAN",
title = "A {BFGS-IP} algorithm for solving strongly convex
optimization problems with feasibility enforced by an exact penalty
approach ",
institution = "INRIA Rocquencourt",
address = "BP 105, 78153 Le Chesnay Cedex (France)",
year = "2000",
eprint ="http://www.optimization-online.org/DB_HTML/2001/02/267.html",
}
@techreport {Aspremont:05,
author = "A. d'ASPREMONT",
title = "Smooth Optimization for Sparse Semidefinite Programs",
institution = "ORFE Dept., Princeton University",
address = "Princeton, NJ",
year = "2005",
eprint ="http://arxiv.org/abs/math/0512344"
}
@BOOK{am77,
AUTHOR= "L. AUSLANDER AND R. E. MACKENZIE",
TITLE = "Introduction to Differentiable Manifolds",
PUBLISHER = "Dover Publications, New York",
YEAR =1977 }
@ARTICLE{asro78,
AUTHOR ="L. ASIMOW AND B. ROTH",
TITLE ="The rigidity of graphs",
JOURNAL="Trans. Amer. Math. soc.",
VOLUME=245 ,
PAGES ={279--289} ,
YEAR=1978 }
@InProceedings{NO96a,
author = {M.V.~Nayakkankuppam and M.L.~Overton},
title = {Primal--dual interior--point methods for
semidefinite programming},
booktitle = {Proceedings of the IEEE International Symposium on
Computer--Aided Control System Design},
year = 1996,
organization = {IEEE Control Systems Society},
month = {September},
pages = {235--239}
}
@TechReport{NO97a,
author = {M.V.~Nayakkankuppam and M.L.~Overton},
title = {Conditioning of semidefinite programs},
institution = {Courant Institute of Mathematical Sciences, NYU},
year = 1997,
address = {New York, NY},
month = {March},
}
@article {MR2000f:90046,
author = {M.V.~Nayakkankuppam and M.L.~Overton},
TITLE = {Conditioning of semidefinite programs},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {85},
YEAR = {1999},
NUMBER = {3, Ser. A},
PAGES = {525--540},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C31)},
MRNUMBER = {2000f:90046},
MRREVIEWER = {Levent Tun{\c{c}}el},
}
@article {AnOl:78,
author = "T.W. ANDERSON and I. OLKIN",
title = "An extremal problem for positive definite matrices",
journal = lama,
year = "1978",
volume = "6",
pages = "257-262"
}
@techreport {Ans:98,
author = "K.M. ANSTREICHER",
title = "On the equivalence of convex programming bounds for
{B}oolean quadratic programming",
institution = "University of Iowa",
address = " Iowa City, IA",
year = "1998"
}
@techreport {Ans:99,
author = "K.M. ANSTREICHER",
title = "Eigenvalue bounds versus semidefinite relaxations
for the quadratic assignment problem",
institution = "University of Iowa",
address = " Iowa City, IA",
year = "1999"
}
@article {AnsBrix:99,
AUTHOR = {ANSTREICHER, K.M. and BRIXIUS, N.W.},
TITLE = {A new bound for the quadratic assignment problem based on
convex quadratic programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2001},
NUMBER = {3, Ser. A},
PAGES = {341--357},
ISSN = {0025-5610},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {2001j:90057},
MRREVIEWER = {Marcos Raydan},
}
@article {AnstVial:94,
author = "K.M. ANSTREICHER and J.-P. VIAL",
title = "On the convergence of an infeasible primal-dual
interior-point method for convex programming",
journal = oms,
year = "1994",
volume = "3",
pages = "273-283"
}
%BBBBBBBBBBBBBBBBBBBBBBBB
@incollection {MR1450160,
AUTHOR = {BA{\v{C}}{\'I}K, R. and MAHAJAN, S.},
TITLE = {Semidefinite programming and its applications to {N}{P}
problems},
BOOKTITLE = {Computing and combinatorics (Xi'an, 1995)},
PAGES = {566--575},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {959},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
}
@inproceedings {fazelhindiboyd:01,
AUTHOR = {M. FAZEL and H. HINDI and S.P. BOYD},
TITLE = {A rank minimization heuristic with application to minimum
order system approximation},
BOOKTITLE = {Proceedings American Control Conference},
PAGES = {4734-4739},
PUBLISHER = {},
ADDRESS = {},
YEAR = {2001},
}
@article {MR95j:65043,
AUTHOR = {BALAKRISH, V. and BOYD, S.},
TITLE = {Existence and uniqueness of optimal matrix scalings},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {16},
YEAR = {1995},
NUMBER = {1},
PAGES = {29--39},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F35 (15A12 15A60)},
MRNUMBER = {95j:65043},
MRREVIEWER = {A. Barraud},
}
@book{BaF:96,
editor ={V. BALAKRISH and E. FERON},
TITLE = {Linear matrix inequalities in control theory and
applications},
NOTE = {Internat. J. Robust Nonlinear Control {\bf 6} (1996), no.
9-10},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1996},
PAGES = {i--ii and 895--1095},
ISSN = {1049-8923},
CODEN = {IJRCEA},
MRCLASS = {93-06 (15-06 93C05)},
MRNUMBER = {97g:93008},
}
@article {MR99k:90101,
AUTHOR = {BALAS, E.},
TITLE = {Disjunctive programming: properties of the convex hull of
feasible points},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
Optimization and Computer Science},
VOLUME = {89},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {3--44},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C08 (90C10 90C11)},
MRNUMBER = {99k:90101},
MRREVR = {K. G. Murty},
}
@article {MR558566,
AUTHOR = {BALAS, E.},
TITLE = {Disjunctive programming},
NOTE = {Discrete optimization (Proc. Adv. Res. Inst. Discrete
Optimization and Systems Appl., Banff, Alta., 1977), II},
JOURNAL = {Ann. Discrete Math.},
FJOURNAL = {Annals of Discrete Mathematics},
VOLUME = {5},
YEAR = {1979},
PAGES = {3--51},
MRCLASS = {90C10},
MRNUMBER = {558 566},
}
@article {MR94c:90070,
AUTHOR = {BALAS, E. and FISCHETTI, M.},
TITLE = {A lifting procedure for the asymmetric traveling salesman
polytope and a large new class of facets},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {58},
YEAR = {1993},
NUMBER = {3, Ser. A},
PAGES = {325--352},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@article {MR90k:90106,
AUTHOR = {BALAS, E. and NG, S. M.},
TITLE = {On the set covering polytope. {I}{I}. {L}ifting the facets with
coefficients in $\{0,1,2\}$},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {45},
YEAR = {1989},
NUMBER = {1 (Ser. B)},
PAGES = {1--20},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@incollection {MR85f:90075,
AUTHOR = {BALAS, E. and ZEMEL, E.},
TITLE = {Lifting and complementing yields all the facets of positive
zero-one programming polytopes},
BOOKTITLE = {Mathematical programming (Rio de Janeiro, 1981)},
PAGES = {13--24},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1984},
}
@article {BaCeCo:93,
author = "E. BALAS and S. CERIA and G. CORNUEJOLS",
title = "A lift-and-project cutting plane algorithm for mixed 0-1
programs",
journal = mprog,
year = "1993",
volume = "58",
pages = "295-324"
}
@article {MR98f:90038,
AUTHOR = {BALAS, E.},
TITLE = {A modified lift-and-project procedure},
NOTE = {Lectures on Mathematical Programming (ismp97) (Lausanne,
1997)},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {79},
YEAR = {1997},
NUMBER = {1-3, Ser. B},
PAGES = {19--31},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@inproceedings {MR1213236,
AUTHOR = {BALAS, E. and CERIA, S. and CORNU{\'E}JOLS,
G.},
TITLE = {Solving mixed $0$-$1$ programs by a lift-and-project method},
BOOKTITLE = {Proceedings of the Fourth Annual ACM-SIAM Symposium on Discrete
Algorithms (Austin, TX, 1993)},
PAGES = {232--242},
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%DDDDDDDDDDDDDDDDDDDDDDD
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%EEEEEEEEEEEEE
@article {MR97g:65077,
AUTHOR = {EDELMAN, A. and SMITH, S.T.},
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@article {EdArSm:98,
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YEAR = {1999},
NUMBER = {2},
PAGES = {303--353 (electronic)},
ISSN = {1095-7162},
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###extra refs from El Ghaoui start
@InProceedings{robust:ElC:99a,
author = "L. {EL GHAOUI} and G. CALAFIORE",
title = "Confidence Ellipsoids for Uncertain Linear Equations with
Structure",
booktitle = {Proc.\ IEEE Conf.\ on Decision and Control},
year = "1999"
}
@InProceedings{robust:ElC:99,
author = "L. {EL GHAOUI} and G. CALAFIORE",
title = "Deterministic State Prediction under
Structured Uncertainty",
booktitle = acc,
year = "1999"
}
@InCollection{robust:ElC:99c,
author = "L. {EL GHAOUI} and G. CALAFIORE",
title = "Worst-Case Simulation of Uncertain Systems",
booktitle = "Robustness in Identification and Control",
publisher = "Springer",
year = "1999",
editor = "A. Garulli, A. Tesi and A. Vicino",
series = "Lecture Notes in Control and Information Sciences",
note = "To appear"
}
###extra refs from El Ghaoui end
%FFFFFFFFFFFFFF
@article {FanGong:97,
author = "M.K.H. FAN and Y. GONG",
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YEAR = {1995},
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VOLUME = {6},
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Interior-point methods",
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Dame",
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@TECHREPORT {Feron:99,
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MRCLASS = {65F20},
MRNUMBER = {96m:65044},
MRREVR = {Roy Mathias},
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institution = {Department of Mathematics, Royal Institute of
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@techreport {FrVe:97,
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@incollection {Frieze,
AUTHOR = {FRIEZE, A. and JERRUM, M.},
TITLE = {Improved approximation algorithms for {M}{A}{X}
$k$-{C}{U}{T}
and {M}{A}{X} {B}{I}{S}{E}{C}{T}{I}{O}{N}},
BOOKTITLE = {Integer programming and combinatorial optimization
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PAGES = {1--13},
SERIES = {Lecture Notes in Comput. Sci.},
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PUBLISHER = {Springer},
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}
@article {FuLuoYe:98,
author = "M. FU and Z. LUO and Y. YE",
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NUMBER = {1},
PAGES = {29--50},
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programs},
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Seeking
Global Optima and Their Applications in Science, Management
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ISSN = {0925-5001},
CODEN = {JGOPEO},
}
@techreport {FuKoNa:95,
author = "K. FUJISAWA and M. KOJIMA and K. NAKATA",
title = "{SDPA} Semidefinite Programming Algorithm",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
year = "1995"
}
@techreport {YaFuKo:03,
author = "M. YAMASHITA and K. FUJISAWA and M. KOJIMA",
title = "{SDPARA} : SemiDefinite Programming Algorithm PARAllel
Version",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
year = "1995"
}
@inproceedings {FuFuKoNa:97,
author = "K. FUJISAWA and M. KOJIMA and K. NAKATA",
title = "Numerical Evaluation of {SDPA} (SemiDefinite
Programming Algorithm)",
BOOKTITLE = {Proceedings of the Second Workshop on High Performance
Optimization Techniques, Rotterdam},
year = "To appear",
}
@article {FuFuKoNa:97a,
author = "K. FUJISAWA and M. KOJIMA and K. NAKATA",
title = "Exploiting sparsity in primal-dual interior-point
methods for semidefinite programming",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
volume = "79",
journal = mprog,
series = "B",
pages = "235-253",
year = "1997"
}
@techreport {NaFuFuKoMu:01,
author = "K. NAKATA and K. FUJISAWA and M. FUKUDA and M. KOJIMA
and K. MUROTA",
title = "Exploiting sparsity in semidefinite programming
via matrix completion {II}: implementation and numerical
results",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
number = "B-368",
year = "2001"
}
@techreport {NaYaFuKo:03,
author = "K. NAKATA, M. YAMASHITA, K. FUJISAWA and M. KOJIMA",
title = "A Parallel Primal-Dual Interior-Point Method for
Semidefinite Programs
Using Positive Definite Matrix Completion",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
number = "B-398",
year = "2003"
}
% GGGGGGG
@article {MR1461380,
AUTHOR = {GAHINET, P. and NEMIROVSKI, A.S.},
TITLE = {The projective method for solving linear matrix
inequalities},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {77},
YEAR = {1997},
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ISSN = {0025-5610},
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VOLUME = {288},
YEAR = {1999},
NUMBER = {1-3},
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@techreport{GenHachNestvandooren:00,
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title = "Optimization problems over positive pseudo-polynomial
matrices",
year = "2000",
institution = "CORE, Universite Catholique de Louvain",
address = "Belgium"
}
@techreport{GlineurTerlaky:01,
author = "F. GLINEUR and T. TERLAKY",
title = "A conic formulation for $l_p$-norm optimization",
year = "2001",
institution = "Faculte Polytechnique de Mons",
address = "Mons, Belgium",
note="URL: http://www.optimization-online.org/DB\_HTML/2001/03/292.html"
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@article {MR1670594,
AUTHOR = {GLUNT, W. and HAYDEN, T.L. and JOHNSON, C.R. and
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JOURNAL = {Linear Algebra Appl.},
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VOLUME = {288},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {1--10},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A15 (15A48)},
MRNUMBER = {1 670 594},
}
@article {MR95g:05048b,
AUTHOR = {GODSIL, C.},
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[{E}lectron.\ {J}.\ {C}ombin.\ {\bf 1} (1994), {A}rticle 1,
approx.\ 48 pp.\ (electronic); {M}{R} 95g:05048a]},
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FJOURNAL = {Electronic J. of Combinatorics},
VOLUME = {1},
YEAR = {1994},
PAGES = {Article 1, Comment 1, approx.\ 1 p. (electronic)},
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@article {Goem:97,
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year = "1997",
volume = "79",
series = "B",
pages = "143-162"
}
@article{Goemans98,
author = "M.X. GOEMANS",
title= "Semidefinite Programming and Combinatorial Optimization",
journal = "Documenta Mathematica",
year = 1998,
pages = "657--666",
volume ="Extra Volume ICM 1998",
note = "Invited talk at the International Congress of Mathematicians,
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}
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author = "M.X. GOEMANS and F. RENDL",
title = "Semidefinite Programs and Association Schemes",
journal = "Computing",
year = 1999,
note = "To appear"
}
@article {MR99b:90104,
AUTHOR = {Kleinberg, Jon and Goemans, Michel X.},
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programming
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YEAR = {1998},
NUMBER = {2},
PAGES = {196--204 (electronic)},
ISSN = {1095-7146},
MRCLASS = {90C27 (05C85 68Q25 90C25)},
MRNUMBER = {99b:90104},
}
# From MathSci search
------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
@incollection {MR19:446g,
AUTHOR = {GOLDMAN, A. J. and TUCKER, A. W.},
TITLE = {Polyhedral convex cones},
BOOKTITLE = {Linear equalities and related systems},
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NOTE = {Annals of Mathematics Studies, no. 38},
PUBLISHER = {Princeton University Press},
ADDRESS = {Princeton, N. J.},
YEAR = {1956},
}
@InProceedings{GoSch:96,
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title = "On parametric semidefinite programming",
booktitle = "Proceedings of the Stieltjes Workshop on High
Performance Optimization Techniques",
year = "1996",
}
@article {int:Goldfarb15,
author = "D. GOLDFARB and K. SCHEINBERG",
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JOURNAL = siopt,
FJOURNAL = {SIAM J. on Optimization},
VOLUME = {8},
YEAR = {1998},
NUMBER = {4},
PAGES = {871--886},
ISSN = {1095-7189},
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%HHHHHHHHHHHHHHHHH
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%IIIIIIIIIIIIIIIIIIII
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%MMMMMMMMMMMM
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%NNNNNNNNNNNNNNNNNNN
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%OOOOOOOOOOOOOOOOOO
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%PPPPPPPPPPPPPPPP
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author = "G. PATAKI",
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%QQQQQQQQQQQQQQQQQQ
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%RRRRRRRRRRRRRRR
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------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
%SSSSSSSSSSS
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%SSSSSSSSSSS
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author = "J.F. STURM",
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school = "Erasmus University Rotterdam",
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%TTTTTTT
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title = " Generalization of primal-dual interior-point
methods to convex optimization problems in conic form",
journal = "Foundations of Computational Mathematics",
year = 2001,
volume = "1",
number = "3",
pages = {229-254},
}
@TECHREPORT {Tun:01,
author = "L. TUN{\c{C}}EL",
TITLE = {On the {S}later condition for the {SDP} relaxations of
nonconvex sets},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {29},
YEAR = {2001},
NUMBER = {4},
PAGES = {181--186},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C22 (90C27 90C46)},
MRNUMBER = {MR1876975 (2002k:90076)},
MRREVIEWER = {Klaus Hofstedt},
}
@TECHREPORT {TunXu:99,
author = "L. TUN{\c{C}}EL and S. XU",
title = "On homogeneous convex cones,
{C}aratheodory number, and duality mapping semidefinite liftings",
year = "1999",
institution = "Department of Combinatorics and Optimization",
number = "CORR 99-21",
address = "Waterloo, Ont"}
@TECHREPORT {TunXu:99b,
author = "L. TUN{\c{C}}EL and S. XU",
title = "Complexity analyses of discretized
successive convex relaxation methods",
year = "1999",
institution = "Department of Combinatorics and Optimization",
number = "CORR 99-37",
address = "Waterloo, Ont"}
%VVVVVVVVVVVVVVV
@article{VaB1:97,
author = {L. VANDENBERGHE and V. BALAKRISH},
title = {Algorithms and Software for {LMI} Problems in
Control},
journal = csm,
year = 1997,
month = oct,
pages = {89-95},
}
@techreport{VaB1:99,
author = {L. VANDENBERGHE and V. BALAKRISH},
title = "Semidefinite programming duality and linear system
theory: connections and implications for computation",
institution = "UCLA",
address = "Los Angeles, CA",
keywords = "SDP, system theory",
note = "To appear in the Proceedings of the 1999 Conference on
Decision and Control",
year = "1999"
}
@techreport{VanbeiBens:99,
AUTHOR = {VANDERBEI, R.J. and BENSON, H.Y.},
title = "On formulating semidefinite programming problems
as smooth convex nonlinear optimization problems",
institution = "Statistics and Operations Research,
Princeton University",
address = "Princeton, NJ",
keywords = "SDP, NLP",
year = "1999"
}
@article {MR1976482,
AUTHOR = {BENSON, H.Y. and VANDERBEI, R.J.},
TITLE = {Solving problems with semidefinite and related constraints
using interior-point methods for nonlinear programming},
NOTE = {Computational semidefinite and second order cone
programming:
the state of the art},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {95},
YEAR = {2003},
NUMBER = {2, Ser. B},
PAGES = {279--302},
ISSN = {0025-5610},
MRCLASS = {90C51 (90C30)},
MRNUMBER = {1 976 482},
}
@article {MR97b:90077,
AUTHOR = {VANDERBEI, R.J. and BING, Y.},
TITLE = {The simplest semidefinite programs are trivial},
JOURNAL = mor,
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {20},
YEAR = {1995},
NUMBER = {3},
PAGES = {590--596},
ISSN = {0364-765X},
}
@TECHREPORT {Vava:99,
author = "S.A. VAVASIS",
title = "A note on efficient computation of the gradient in
semidefinite programming",
institution = "Cornell University",
year = "1999",
address = "Ithaca, NY"}
@article {Vial:94,
author = "J.-P. VIAL",
title = "Computational experience with a primal-dual
interior-point method for smooth convex programming",
journal = oms,
year = "1994",
volume = "3",
pages = "285-316"
}
@article {Vin:65,
author = "E.B. VINBERG",
title = "The theory of homogeneous cones",
journal = "Trans. Moscow Math.",
year = "1965",
volume = "12",
pages = "340-403"
}
% WWWWWWWWWWWWWWWWWWWWWw
@inproceedings{1015345,
AUTHOR = {K. WEINBERGER and F. SHA and L. SAUL},
title = {Learning a kernel matrix for nonlinear dimensionality
reduction},
booktitle = {ICML '04: Proceedings of the twenty-first international
conference on Machine learning},
year = {2004},
isbn = {1-58113-828-5},
pages = {106},
location = {Banff, Alberta, Canada},
doi = {http://doi.acm.org/10.1145/1015330.1015345},
publisher = {ACM Press},
address = {New York, NY, USA},
}
@PHDTHESIS {Wells:95,
author = "C.P. WELLS",
title = "An Improved Method for Sampling
of Molecular Conformation Space",
school = "University of Kentucky",
year = "1995",
}
@PHDTHESIS {William:93,
author = "D.P. WILLIAMSON",
title = "On the design of
approximation algorithms for a class of Graph Problems",
school = "MIT",
year = "1993",
}
@article {MR97a:93032,
AUTHOR = {WIMMER, H.K.},
TITLE = {The set of positive semidefinite solutions of the algebraic
{R}iccati equation of discrete-time optimal control},
JOURNAL = {IEEE Trans. Automat. Control},
FJOURNAL = {Institute of Electrical and Electronics Engineers.
Transactions
on Automatic Control},
VOLUME = {41},
YEAR = {1996},
NUMBER = {5},
PAGES = {660--671},
ISSN = {0018-9286},
CODEN = {IETAA9},
}
@techreport {Wu:98,
author = "Z. WU",
title = "A subgradient algorithm for nonlinear integer
programming",
institution = "Rice University",
address = "Houston, Tx",
keywords = "nonlinear, integer programming",
year = "1998"
}
% YYYYYYYYYYYYYYYY
@article{
Yak:65,
author={V.A. YAKUBOVICH},
title={The method of matrix inequalities in the stability
theory of nonlinear control systems, {$I$, $II$, $III$}},
journal=arc,
year={1967},
volume={25-26},
number={4},
pages={905-917, 577-592, 753-763},
month=apr
}
@article {MR93g:49026,
AUTHOR = {YAKUBOVICH, V.A.},
TITLE = {Nonconvex optimization problem: the infinite-horizon
linear-quadratic control problem with quadratic
constraints},
JOURNAL = {Systems Control Lett.},
FJOURNAL = {Systems \& Control Letters},
VOLUME = 19,
YEAR = 1992,
NUMBER = 1,
PAGES = {13--22},
ISSN = {0167-6911},
CODEN = {SCLEDC},
}
@article {Ya:73,
AUTHOR = {YAKUBOVICH, V.A.},
TITLE = {Minimization of quadratic functionals under the
quadratic constraints and the necessity of a
frequency condition in the quadratic criterion for
absolute stability of nonlinear control systems},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {209},
YEAR = {1973},
NUMBER = {14},
PAGES = {1039--1042},
}
@article {Ya:71,
AUTHOR = {YAKUBOVICH, V.A.},
TITLE = {The {S}-procedure and duality theorems for nonconvex
problems of quadratic programming},
JOURNAL = {Vestnik Leningrad. Univ.},
FJOURNAL = {Vestnik Leningradskogo Universiteta},
VOLUME = 1973,
YEAR = {1973},
NUMBER = 1,
PAGES = {81--87},
}
@article {MR95m:68087,
AUTHOR = {YANNAKAKIS, M.},
TITLE = {On the approximation of maximum satisfiability},
NOTE = {Third Annual ACM-SIAM Symposium on Discrete Algorithms
(Orlando, FL, 1992)},
JOURNAL = {J. Algorithms},
FJOURNAL = {Journal of Algorithms},
VOLUME = {17},
YEAR = {1994},
NUMBER = {3},
PAGES = {475--502},
ISSN = {0196-6774},
CODEN = {JOALDV},
}
@article {Yinye:97,
author = "Y. YE",
title = "Approximating quadratic programming with
bound and quadratic constraints",
institution = "Department of Management Sciences
The University of Iowa",
address = "Iowa city, IA 522542",
keywords = "semidefinite programming;
quadratic programming, cone programming; sdp; coneprog",
VOLUME = {84},
journal = mp,
PAGES = {219-226},
year = "1999"}
@article {Ye-1,
author = "Y. YE",
TITLE = "On affine scaling algorithms for nonconvex quadratic
programming",
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {56},
YEAR = {1992},
PAGES = {285--300},
}
@book {Yinye:97b,
author = "Y. YE",
title = "Interior Point Algorithms: Theory and
Analysis",
publisher = "John Wiley \& Sons",
series = "Wiley-Interscience series in
Discrete Mathematics and Optimization",
address = "New York",
year = "1997"}
@techreport{biswasliangtohwangye,
author = "BISWAS, P. and LIANG, T.C. and TOH, K.C. and WANG, T.C.
and YE, Y.",
title = "Semidefinite Programming Approaches for Sensor Network
Localization with Noisy Distance Measurements",
year = "2005",
institution = "Operation Research, Stanford University",
address = "Stanford, CA",
}
@article {MR2015907,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. A.},
TITLE = {An interior-point perspective on sensitivity analysis in
semidefinite programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {28},
YEAR = {2003},
NUMBER = {4},
PAGES = {649--676},
ISSN = {0364-765X},
MRCLASS = {90C31 (90C05 90C22)},
MRNUMBER = {2 015 907},
}
@article {MR2003b:90137,
AUTHOR = {Yildirim, E. Alper and Wright, Stephen J.},
TITLE = {Warm-start strategies in interior-point methods for linear
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {782--810 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C51 (90C05)},
MRNUMBER = {2003b:90137},
MRREVIEWER = {Carla Durazzi},
}
@article {MR2003d:90107,
AUTHOR = {Yildirim, E. Alper and Todd, Michael J.},
TITLE = {An interior-point approach to sensitivity analysis in
degenerate linear programs},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {692--714 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C31 (90C05)},
MRNUMBER = {2003d:90107},
MRREVIEWER = {Sven-{\AA}ke Gustafson},
}
@article {MR2002c:90079,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. Alper and Todd, Michael J.},
TITLE = {Sensitivity analysis in linear programming and
semidefinite
programming using interior-point methods},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {90},
YEAR = {2001},
NUMBER = {2, Ser. A},
PAGES = {229--261},
ISSN = {0025-5610},
MRCLASS = {90C31 (90C22 90C51)},
MRNUMBER = {2002c:90079},
MRREVIEWER = {Shu Zhong Zhang},
}
@article{YildTodd:99,
author = "E.A. YILDIRIM and M.J. TODD",
title = "Sensitivity analysis in linear programming and semidefinite
programming using interior-point methods",
year = "1999",
number = "TR1253",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@techreport{Yild:01,
author = "E.A. YILDIRIM",
title = "An Interior-Point Perspective on Sensitivity Analysis in
Semidefinite Programming",
year = "2001",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@techreport{Yild:04,
author = "E.A. YILDIRIM",
title = "Unifying optimal partition approach to sensitivity analysis in
conic optimization",
year = "2004",
institution = "Stony Brook University",
address = "Stony Brook, NY",
}
% ZZZZZZZZZZZZZZZZZZ
@TECHREPORT {Zhang:95,
author = "Y. ZHANG",
title = "Basic equalities and inequalities in primal-dual
interior-point methods for semidefinite programming",
institution = "Department of Mathematics and Statistics,
University of Maryland Baltimore County",
keywords = "semidefinite programming; cone programming;
sdp;
coneprog",
year = "1995"}
@article {MR89b:15040,
AUTHOR = {ZHANG, F. Z.},
TITLE = {On the best {E}uclidean fit to a distance matrix},
JOURNAL = {Beijing Shifan Daxue Xuebao},
FJOURNAL = {Beijing Shifan Daxue Xuebao. Ziran Kexue Ban. Journal of
Beijing Normal University (Natural Science)},
YEAR = {1987},
VOLUME = {4},
PAGES = {21--24},
ISSN = {0476-0301},
}
@article {ZhuCosBeas:03,
AUTHOR = {Z. ZHU and D.C. COSTER and L.B. BEASLEY},
TITLE = {Properties of a Covariance Matrix with an Application
to {D}-optimal Design},
JOURNAL = ela,
YEAR = {2003},
VOLUME = {10},
PAGES = {65--76},
}
@techreport {Ziegler:99,
author = "G.M. ZIEGLER",
title = "Lectures on 0/1-polytopes",
institution = "Technische Universitat Berlin",
year = "1999",
address = "Berling, Germany"
}
@ARTICLE {Zieb:98,
author = "A.D. ZIEBUR",
title = "Chain rules for functions of matrices",
journal = laa,
year = "1998",
volume = "283",
pages = "87-97"}
@TECHREPORT {ZoBySch:96,
author = "Z. ZOU and R.H. BYRD and R.B. SCHNABEL",
title = "A stochastic/perturbation global optimization
algorithm for distance geometry problems",
institution = "Dept. of Computer Science, University of
Colorado",
year = "1996",
address = "Boulder, Co"}
# distance matrix references
@BOOK{ch88,
AUTHOR= "G.M. CRIPPEN AND T.F. HAVEL",
TITLE = "Distance Geometry and Molecular Conformation",
PUBLISHER = "Wiley, New York",
YEAR =1988 }
@INCOLLECTION{con93,
AUTHOR ="R. CONNELLY",
EDITOR ="Gruber P. M. and Wills J. M.",
TITLE ="Rigidity",
BOOKTITLE ="Handbook of Convex Geometry",
PAGES ={223--271},
YEAR =1993 }
@ARTICLE{cri88,
AUTHOR ="F. CRITCHLEY",
TITLE ="On certain linear mappings between inner-product and squared distance
matrices",
JOURNAL=laa,
VOLUME=105 ,
PAGES ={91--107} ,
YEAR=1988 }
##### bib entries from Levent Tuncel follow
##### This will cause duplication which will be straightened out later
@article {MR2003j:90035,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {On the finite convergence of successive {SDP} relaxation
methods},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {325--341},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2003j:90035},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1932386,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Some fundamental properties of successive convex
relaxation
methods on {LCP} and related problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {24},
YEAR = {2002},
NUMBER = {3},
PAGES = {333--348},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C33 (90C09 90C11 90C20 90C48)},
MRNUMBER = {1 932 386},
MRREVIEWER = {Panos M. Pardalos},
}
@article {MR2002e:90070,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Discretization and localization in successive convex
relaxation methods for nonconvex quadratic optimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2000},
NUMBER = {1, Ser. A},
PAGES = {79--111},
ISSN = {0025-5610},
MRCLASS = {90C26 (90C08 90C34 90C51)},
MRNUMBER = {2002e:90070},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@article {AlHaOv:98,
author = "F. ALIZADEH and J-P.A. HAEBERLY and M.L. Overton",
title = "Primal-dual interior-point methods for
semidefinite programming: Convergence rates, stability and numerical results",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "746-768"
}
@book{FarautKoranyi:94,
author = "J. FARAUT and A. KORANYI",
title = "Analysis on Symmetric Cones",
year = "1994",
series = "",
publisher = "Oxford University Press",
address = "NY, USA"
}
@book{FiaccoMcCormick:90,
author = "A.V. FIACCO and G.P. McCORMICK",
title = "Nonlinear programming sequential unconstrained
minimization techniques",
year = "1990",
series = "Classics in Applied Mathematics",
publisher = "SIAM",
address = "Philadelphia, PA, USA"
}
@techreport {Frisch:55,
author = "K.R. FRISCH",
title = "The logarithmic potential method of
convex programming",
institution = "Institute of Economics, Oslo University",
year = "1955",
address = "Oslo, Norway"
}
@article {GonzagaTodd:92,
author = "C.C. GONZAGA and M.J. TODD",
title = "An {O}$(\sqrt{n}{L})$-iteration
large-step primal-dual affine algorithm for linear
programming",
journal = siopt,
year = "1992",
volume = "2",
pages = "349-359"
}
@article {Guler:96,
author = "O. G{\" U}LER",
title = "Barrier functions in interior point
methods",
journal = mor,
year = "1996",
volume = "21",
pages = "860-885"
}
@article {Guler:97,
author = "O. G{\" U}LER",
title = "Hyperbolic polynomials and
interior point methods for convex programming",
journal = mor,
year = "1997",
volume = "22",
pages = "350-377"
}
@techreport {Guler:98,
author = "O. G{\" U}LER",
title = "Private communication",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "January 1998"
}
@techreport {GulerTuncel:97,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
title = "Manuscript",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "1997"
}
@article {GulerTuncel:98,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
title = "Characterization of the barrier parameter of
homogeneous convex cones",
journal = mprog,
year = "1998",
volume = "81",
pages = "55-76"
}
@article {Karmarkar:84,
author = "N.K. KARMARKAR",
title = "A new polynomial time algorithm for
linear programming",
journal = "Combinatorica",
year = "1984",
volume = "4",
pages = "373-395"
}
@book{KMNY:91,
author = "M. KOJIMA and N. MEGIDDO and T. NOMA and A. YOSHISE",
title = "A Unified Approach to
Interior Point Algorithms for Linear Complementarity Problems",
year = "1991",
series = "Lecture Notes in Computer Science",
publisher = "Springer-Verlag",
address = "NY, USA"
}
@article {KMY:89,
author = "M. KOJIMA and S. MIZUNO and A. YOSHISE",
title = "A polynomial time
algorithm for a class of linear complementarity problems",
journal = mprog,
year = "1989",
volume = "44",
pages = "1-26"
}
@article {KMY:91,
author = "M. KOJIMA and S. MIZUNO and A. YOSHISE",
title = "An {O}${(\sqrt{n}{L})}$ iteration
potential reduction algorithm for
linear complementarity problems",
journal = mprog,
year = "1991",
volume = "50",
pages = "331-342"
}
@techreport {KoShSh:96,
author = "M. KOJIMA and M. SHIDA and S. SHINDOH",
TITLE = {A note on the {N}esterov-{T}odd and the {K}ojima-{S}hindoh-{H}ara
search directions in semidefinite programming},
note = "To appear in Optim. Methods Softw.",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
year = "1999"
}
@article{KoShSh:99,
author = "M. KOJIMA and M. SHIDA and S. SHINDOH",
title = "Search directions in the {SDP} and the monotone {SDLCP}:
generalization and inexact computation",
journal = mprog,
volume = "85",
pages = "51--80",
year = "1999"
}
@article {KojimaTuncel:98,
author = "M. KOJIMA and L. TUN{\c{C}}EL",
title = {Monotonicity of primal-dual
interior-point algorithms for
semidefinite programming problems},
JOURNAL = oms,
VOLUME = {10},
YEAR = {1998},
PAGES = {275-296},
}
@article {Lim:79,
author = "M.H. LIM",
TITLE = {Linear transformations on symmetric matrices},
JOURNAL = {Linear and Multilinear Algebra},
VOLUME = {7},
YEAR = {1979},
PAGES = {47-57},
}
@article {MarcusMoyls:59,
author = "M. MARCUS and B.N. MOYLS",
TITLE = {Linear transformations on algebras of matrices},
JOURNAL = {Canadian J. Math.},
VOLUME = {11},
YEAR = {1959},
PAGES = {61-66}
}
@inproceedings{Megiddo:88,
author = "N. MEGIDDO",
title = "Pathways to the optimal set in linear programming",
booktitle = "Progress in Mathematical Programming,
Interior Point and Related Methods",
editor="N. Megiddo",
Publisher="Springer-Verlag",
year ={1988} }
@article {MKT:95,
author = "S. MIZUNO and M. KOJIMA and M.J. TODD",
title = {Infeasible-interior-point primal-dual potential-reduction
algorithms for linear programming},
JOURNAL = siopt,
VOLUME = {5},
YEAR = {1995},
PAGES = {52-67},
}
@article {MonteiroAdler:89,
author = "R.D.C. MONTEIRO and I. ADLER",
TITLE = {Interior path following
primal-dual algorithms. {Part I: Linear programming}},
JOURNAL = mprog,
VOLUME = {44},
YEAR = {1989},
PAGES = {27-42},
}
@article {MonteiroAdler:89a,
author = "R.D.C. MONTEIRO and I. ADLER",
TITLE = "Interior path following primal-dual algorithms.
{Part II: Convex quadratic programming}",
JOURNAL = mprog,
VOLUME = {44},
YEAR = {1989},
PAGES = {43-66},
}
@techreport{Nemirovski:97,
author = "A.S. NEMIROVSKI",
title = "On Normal
Self-concordant barriers and long-step
interior point methods",
year = "1997",
institution = "Faculty of Industrial Engineering,
Institute of Technology, Technion",
address = "Haifa, ISRAEL"
}
@article {Nesterov:97,
author = "Y.E. Nesterov",
title={Long-step strategies in interior-point
primal-dual methods},
journal=mprog,
pages = "47-94",
volume = "76",
year={1997}
}
@article {NesterovTodd:97,
author = "Y.E. Nesterov and M.J. TODD",
TITLE = {Self-scaled barriers and interior-point methods for convex
programming},
JOURNAL = mor,
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {22},
YEAR = {1997},
NUMBER = {1},
PAGES = {1--42},
ISSN = {0364-765X},
}
@article {NesterovTodd:98,
author = "Y.E. Nesterov and M.J. TODD",
title={Primal-dual interior-point methods
for self-scaled cones},
journal=siopt,
pages = "324-364",
volume = "8",
year={1998}
}
@book{Rockafellar:70,
author = "R.T. ROCKAFELLAR",
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##### From Oustry-Helmberg
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###from Dimitris Bertsimis
### strings moved to .master.bib
% BiBTeX data base for Concurent mapping and localisation
%--------------------------------------------------------------------
%% bibtextfile{
%% author = "Ioana Popescu",
%% version = "1.0",
%% date = "February 7, 1998",
%% filename = "cml.bib",
%% address = "OR Center Rm. E40-130
%% MIT, 77 Mass. Ave,
%% Cambridge, MA 02139, USA",}
%---------------------------------------------------------------------
%------------------------- Moments / Chebyshev ---------------------------
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%------------------------- Optimization ---------------------------------
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%------------------------ Approximation Algorithms ----------------------
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%------------------------ Complexity ------------------------------
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%------------------------ Finance -----------------------------
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%---------------------- Inventory -------------------------------------
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%-------------------------------Queueing-------------------------------------
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MRNUMBER = {MR1756264 (2001g:90003)},
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}
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## from deKlerk et al start
@inproceedings{int:deklerk7,
author = {de KLERK, E. and C. ROOS and T. TERLAKY},
title = {Infeasible--start semidefinite programming algorithms via self--dual
embeddings},
editors = {P.~M. Pardalos and H.~Wolkowicz},
booktitle = {Topics in
Semidefinite and Interior-Point Methods},
volume = {18},
series = {The Fields Institute for Research in Mathematical Sciences,
Communications Series},
pages = {215--236},
publisher = {American Mathematical Society},
year = {1998}
}
@inproceedings {int:Deklerk5,
author = {de KLERK, E. and C. ROOS and T. TERLAKY},
title = {On primal--dual path--following algorithms in semidefinite
programming},
editors = {F.~Giannessi, S.~Koml\'{o}si, and T.~Rapcs\'{a}k},
booktitle = {New trends in Mathematical Programming},
pages = {137--157},
publisher = {Kluwer Academic Publishers},
address = {Dordrecht, The Netherlands},
year = {1998}
}
@techreport {Illes98,
author = {T.~ILL{\'E}S and J.~PENG and C.~ROOS and and T.~TERLAKY},
title = {A strongly polynomial rounding procedure yielding a maximally
complementary solution for {P}$^*(\kappa)$ linear complementarity problems},
number = {98--15},
institution = {Faculty of Technical Mathematics and
Computer Science},
address = {Delft University of Technology, Delft, The Netherlands},
year = {1998}
}
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author = {J.~JIANG},
TITLE = {A long-step primal-dual path-following method for
semidefinite
programming},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {23},
YEAR = {1998},
NUMBER = {1-2},
PAGES = {53--61},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C25 (90C08)},
MRNUMBER = {99i:90071},
MRREVR = {Michael L. Dowling},
}
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author = {M.~KOJIMA and M.~SHIDA and S.~SHINDOH},
title = {A predictor-corrector interior point algorithm for the semidefinite
linear complementarity problem using the {Alizadeh-Haeberley-Overton} search
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volume="9",
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pages = "444-465",
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journal = siopt,
}
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author = {M.V. RAMANA and P.M. PARDALOS},
title = {Semidefinite programming},
editor = {T.~Terlaky},
booktitle = {Interior Point Methods of Mathematical programming},
pages = {369--398},
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address = {Dordrecht, The Netherlands},
year = {1996}
}
@techreport{int:Stoer2,
author = {J.~STOER and M.~WECHS},
title = {Infeasible-interior-point paths for sufficient linear complementarity
problems and their analyticity},
note = {Manuscript},
institution = {Institut f\"ur Angewandte Mathematik und Statistik},
address = {Universit\"at W\"urzburg, W\"urzburg, Germany},
year = {1996}
}
## from deKlerk et al end
## from Mike Todd et al beginning
%Henry, I've been doing some work on cleaning up our chapter, though
%the text is much the same as what you have. In particular, I've been
%preparing a bib file. This has some additions to your master list,
%as well as some updates (marked by %%**). It's included below.
@techreport {Ko:95,
author = "M. KOJIMA",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
title = "Private communication",
year = "1995"
}
@article {Mont:98,
author = "R.D.C. MONTEIRO",
title = "Polynomial convergence of primal-dual algorithms for
semidefinite programming based on the {Monteiro and Zhang}
family of directions",
journal = siopt,
year = "1998",
volume = "8",
pages = "797-812"
}
@article{MoTu:96,
author = "R.D.C. MONTEIRO and T. TSUCHIYA",
title = "Polynomiality of Primal-Dual algorithms for semidefinite
Linear
Complementarity Problems Based on the {Kojima-Shindoh-Hara}
Family of Directions",
journal = mprog,
volume = "84",
year = "1999",
pages = "39--53"
}
@techreport{tseng:96,
AUTHOR = "P. TSENG",
Title = {FURTHER NOTES ON THE EXISTENCE OF SEARCH
DIRECTIONS IN INTERIOR-POINT METHODS FOR THE MONOTONE SEMI-DEFINITE
{LCP}},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-96},
Year = 1996}
@article{Tse:98,
AUTHOR = "P. TSENG",
TITLE = "Search directions and convergence
analysis of some infeasible path-following methods
for the monotone semi-definite {LCP}",
journal=oms,
pages = "245-268",
volume = "9",
year={1998}
}
@article{YZha:98,
author = "Y. ZHANG",
title = "On extending some primal-dual interior-point algorithms
from linear programming to semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "365-386"
}
## from Mike Todd et al end
## from Ragu et al end
#
@inproceedings{ ElB:94,
author={L. {EL~GHAOUI} and V. BALAKRISH},
title={{S}ynthesis of Fixed-structure Controllers
via Numerical Optimization},
booktitle=cdc,
month=dec,
year={1994},
pages={2678-2683},
}
## from Ragu et al end
###From Laurent:
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AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
TITLE = {Robust convex optimization},
JOURNAL = mor,
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {23},
YEAR = {1998},
NUMBER = {4},
PAGES = {769--805},
ISSN = {0364-765X},
}
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AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
TITLE = {Robust solutions of uncertain linear programs},
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FJOURNAL = {Operations Research Letters},
VOLUME = {25},
YEAR = {1999},
NUMBER = {1},
PAGES = {1--13},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C05 (90C31)},
MRNUMBER = {2001i:90037},
}
@article {MR1905762,
AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
TITLE = {Robust optimization---methodology and applications},
NOTE = {ISMP 2000, Part 2 (Atlanta, GA)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {92},
YEAR = {2002},
NUMBER = {3, Ser. B},
PAGES = {453--480},
ISSN = {0025-5610},
MRCLASS = {90C25 (90C31)},
MRNUMBER = {MR1905762 (2003d:90074)},
MRREVIEWER = {Stephan Dempe},
}
@article {MR2001h:90038,
AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.},
TITLE = {Robust solutions of linear programming problems
contaminated
with uncertain data},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {88},
YEAR = {2000},
NUMBER = {3, Ser. A},
PAGES = {411--424},
ISSN = {0025-5610},
MRCLASS = {90C05 (90C20 90C31)},
MRNUMBER = {2001h:90038},
MRREVIEWER = {Jos F. Sturm},
}
@article{BNRT,
AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
TITLE = {Robust truss topology design via semidefinite programming},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {4},
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}
@techreport{bentalnemirov:98,
AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
Title = {{Convex Optimization in Engineering:
Modeling, Analysis, Algorithms}},
institution = {Delft University of Technology},
address = {Delft, The Netherlands},
number = {on notes from course given by A. Nemirovski},
Year = 1998}
@article{BNRT:00,
AUTHOR = {BEN-TAL, A. and NEMIROVSKI, A.S.},
title = "On the quality of semidefinite approximations of uncertain
semidefinite programs affected by box uncertainty",
year = "2000",
institution = "MINERVA Optimization Center, Technion -
Israel Institute of Technology",
address = "Technion City, Haifa 32000, Israel",
number = {2/00},
}
@article{BenKocNemZow:99,
AUTHOR = {BEN-TAL, A. and KOCVARA, M. and NEMIROVSKI, A.S. and ZOWE, J.},
TITLE = {Free Material Design via Semidefinite Programming: The Multiload
Case with Contact Conditions},
JOURNAL = siopt,
VOLUME = {9},
YEAR = {1999},
NUMBER = {4},
PAGES = {813 - 832},
}
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year = "1996"
}
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author = "R.E. MOORE",
title = "Methods and Applications of Interval Analysis",
publisher = "{SIAM}",
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journal=laa,
year={1989},
note={},
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number={},
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author = "J. ROHN",
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linear equations",
journal = laa,
year = "1997",
volume = "262",
pages = "55--66",
month = sep
}
@Book{VHV:91,
author = "S. {VAN HUFFEL} and J. VANDEWALLE",
title = "The total least squares problem: computational
aspects and analysis",
publisher = "SIAM",
year = "1991",
volume = "9",
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series = "Frontiers in applied Math.",
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author = {L. {EL GHAOUI} and F. OUSTRY and H. LEBRET},
TITLE = {Robust solutions to uncertain semidefinite programs},
JOURNAL = {SIAM J. of Optim.},
VOLUME = {9},
YEAR = {1999},
NUMBER = {1},
PAGES = {33--52},
}
@Article{ElL:97,
AUTHOR = {EL GHAOUI, L. and LEBRET, H.},
TITLE = {Robust solutions to least-squares problems with uncertain
data},
JOURNAL = simax,
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {18},
YEAR = {1997},
NUMBER = {4},
PAGES = {1035--1064},
ISSN = {0895-4798},
CODEN = {SJMAEL},
}
@incollection {MR1447473,
AUTHOR = {EL GHAOUI, L. and LEBRET, H.},
TITLE = {Robust solutions to least squares problems with uncertain
data},
BOOKTITLE = {Recent advances in total least squares techniques and
errors-in-variables modeling (Leuven, 1996)},
PAGES = {161--170},
PUBLISHER = {SIAM},
ADDRESS = {Philadelphia, PA},
YEAR = {1997},
}
#### end from Laurent
##### from math sci search for quadratic
@article {MR1673454,
AUTHOR = {BOMZE, I. M.},
TITLE = {On standard quadratic optimization problems},
NOTE = {Workshop on Global Optimization (Trier, 1997)},
JOURNAL = {J. Global Optim.},
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ISSN = {0925-5001},
CODEN = {JGOPEO},
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E.
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T.},
TITLE = {On copositive programming and standard quadratic
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JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {18},
YEAR = {2000},
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PAGES = {301--320},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C25},
MRNUMBER = {1 810 401},
}
@techreport{BomzeDeklerk:01,
author = {I.M. BOMZE and de KLERK, E.},
title = {Solving standard quadratic optimization problems via linear,
semidefinite and copositive programming},
institution = {{Institut fuer Statistik, Universitaet Wien}},
year = {2001},
month = {May},
number = {2001-03},
address = {{Universitaetsstrasse 5, A-1010 Wien, Austria}},
note = {{Available at URL: {\tt
http://ssor.twi.tudelft.nl/\~{ }deklerk/publications/sos$\_$copos7.ps}}}
}
@article {MR99f:90073,
AUTHOR = {GUU, S.M. and LIOU, Y.C.},
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YEAR = {1998},
NUMBER = {3},
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#####additions from two chapters
## put temporary bib entries here to check for typos
#
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#Chapter 10 bibliography entries
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%bibliography entries from Chapter 18
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###extra refs about matrix completions start
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###extra refs about matrix completions end
### correlation matrices references
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AUTHOR = {Jeyakumar, V. and Srisatkunarajah, S.},
TITLE = {New sufficiency for global optimality and duality of
mathematical programming problems via underestimators},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {140},
YEAR = {2009},
NUMBER = {2},
PAGES = {239--247},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C30 (90C46)},
MRNUMBER = {MR2472207},
}
@article {jeyaleelisiopt:09,
AUTHOR = {Jeyakumar, V. and Lee, G.M. and Li, G.},
TITLE = {Alternative theorems for quadratic inequality systems and
global quadratic optimization},
JOURNAL = siopt,
VOLUME = {},
YEAR = {2009},
NUMBER = {},
PAGES = {},
note = {DOI:...}
}
@article {jeyahuyliopte:09,
AUTHOR = {Jeyakumar, V. and Huy, N.Q. and Li, G.},
TITLE = {Necessary and sufficient conditions for S-lemma and
nonconvex optimization},
JOURNAL = {Optimization and Engineering},
VOLUME = {},
YEAR = {2009},
NUMBER = {},
PAGES = {},
note = {DOI:...}
}
@article {MR2468453,
AUTHOR = {Jeyakumar, V. and Srisatkunarajah, S.},
TITLE = {Geometric conditions for {K}uhn-{T}ucker sufficiency of global
optimality in mathematical programming},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {194},
YEAR = {2009},
NUMBER = {2},
PAGES = {363--367},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C30},
MRNUMBER = {MR2468453},
}
@article {MR2453502,
AUTHOR = {Jeyakumar, V. and Srisatkunarajah, S.},
TITLE = {Lagrange multiplier necessary conditions for global optimality
for non-convex minimization over a quadratic constraint via
{S}-lemma},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {3},
YEAR = {2009},
NUMBER = {1},
PAGES = {23--33},
ISSN = {1862-4472},
MRCLASS = {90C26 (90C32)},
MRNUMBER = {MR2453502},
}
@article {MR2444492,
AUTHOR = {Jeyakumar, Vaithilingam and Srisatkunarajah, Sivakolundu and
Huy, Nguyen Quang},
TITLE = {Unified global optimality conditions for smooth minimization
problems with mixed variables},
JOURNAL = {RAIRO Oper. Res.},
FJOURNAL = {RAIRO Operations Research. RO Recherche Op\'erationnelle},
VOLUME = {42},
YEAR = {2008},
NUMBER = {3},
PAGES = {361--370},
ISSN = {0399-0559},
MRCLASS = {90C26 (90C11)},
MRNUMBER = {MR2444492},
}
@article {MR2373071,
AUTHOR = {Jeyakumar, V.},
TITLE = {Constraint qualifications characterizing {L}agrangian duality
in convex optimization},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {136},
YEAR = {2008},
NUMBER = {1},
PAGES = {31--41},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25 (90C46)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR2381664,
AUTHOR = {Goberna, M. A. and Jeyakumar, V. and L{\'o}pez, M. A.},
TITLE = {Necessary and sufficient constraint qualifications for
solvability of systems of infinite convex inequalities},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {68},
YEAR = {2008},
NUMBER = {5},
PAGES = {1184--1194},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {90C25 (49M29)},
MRREVIEWER = {Mohamed Laghdir},
}
@article {MR2372662,
AUTHOR = {Jeyakumar, V. and Huy, N. Q.},
TITLE = {Global minimization of difference of quadratic and convex
functions over box or binary constraints},
JOURNAL = {Optim. Lett.},
FJOURNAL = {Optimization Letters},
VOLUME = {2},
YEAR = {2008},
NUMBER = {2},
PAGES = {223--238},
ISSN = {1862-4472},
MRCLASS = {90C26 (90C46)},
MRREVIEWER = {Xiaoqi Yang},
}
@book {MR2354918,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {Nonsmooth vector functions and continuous optimization},
SERIES = {Springer Optimization and Its Applications},
VOLUME = {10},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2008},
PAGES = {x+269},
ISBN = {978-0-387-73716-4},
MRCLASS = {90-02 (49-02 49J50 49J52 49J53 90C30 90C33)},
MRNUMBER = {MR2354918},
}
@article {MR2362711,
AUTHOR = {Jeyakumar, V. and Huy, N. Q.},
TITLE = {Global optimality of quadratic minimization over symmetric
polytopes},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {56},
YEAR = {2007},
NUMBER = {5-6},
PAGES = {633--640},
ISSN = {0233-1934},
MRCLASS = {90C20 (41A29 41A65 90C46)},
MRNUMBER = {MR2362711 (2009b:90084)},
MRREVIEWER = {Paul H. Calamai},
}
@article {MR2345500,
AUTHOR = {Jeyakumar, V. and Srisatkunrajah, S. and Huy, N. Q.},
TITLE = {Kuhn-{T}ucker sufficiency for global minimum of multi-extremal
mathematical programming problems},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {335},
YEAR = {2007},
NUMBER = {2},
PAGES = {779--788},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C46 (90C20 90C30)},
MRNUMBER = {MR2345500 (2008g:90135)},
MRREVIEWER = {Wei Hong Yang},
}
@article {MR2328861,
AUTHOR = {Jeyakumar, V. and Wu, Z. Y.},
TITLE = {A dual criterion for maximal monotonicity of composition
operators},
JOURNAL = {Set-Valued Anal.},
FJOURNAL = {Set-Valued Analysis. An International Journal Devoted to the
Theory of Multifunctions and its Applications},
VOLUME = {15},
YEAR = {2007},
NUMBER = {3},
PAGES = {265--273},
ISSN = {0927-6947},
CODEN = {SVANEG},
MRCLASS = {47H05 (46B99 46N10 47H04)},
MRNUMBER = {MR2328861 (2008f:47078)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR2336771,
AUTHOR = {Wu, Z. Y. and Jeyakumar, V. and Rubinov, A. M.},
TITLE = {Sufficient conditions for global optimality of bivalent
nonconvex quadratic programs with inequality constraints},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {133},
YEAR = {2007},
NUMBER = {1},
PAGES = {123--130},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C20 (90C46)},
MRNUMBER = {MR2336771 (2008m:90048)},
MRREVIEWER = {Riccardo Cambini},
}
@article {MR2333520,
AUTHOR = {Jeyakumar, V. and Rubinov, A. M. and Wu, Z. Y.},
TITLE = {Generalized {F}enchel's conjugation formulas and duality for
abstract convex functions},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {132},
YEAR = {2007},
NUMBER = {3},
PAGES = {441--458},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49J53 (47N10 52A41 90C25)},
MRNUMBER = {MR2333520 (2008f:49030)},
MRREVIEWER = {S{\'a}ndor Z. N{\'e}meth},
}
@article {MR2324960,
AUTHOR = {Jeyakumar, V. and Rubinov, A. M. and Wu, Z. Y.},
TITLE = {Non-convex quadratic minimization problems with quadratic
constraints: global optimality conditions},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {110},
YEAR = {2007},
NUMBER = {3, Ser. A},
PAGES = {521--541},
ISSN = {0025-5610},
MRCLASS = {90C20 (90C26)},
MRNUMBER = {MR2324960 (2008c:90039)},
MRREVIEWER = {Stefan Mititelu},
}
@article {MR2320102,
AUTHOR = {Jeyakumar, Vaithilingam and Wu, Zhiyou},
TITLE = {Conditions for global optimality of quadratic minimization
problems with {LMI} constraints},
JOURNAL = {Asia-Pac. J. Oper. Res.},
FJOURNAL = {Asia-Pacific Journal of Operational Research},
VOLUME = {24},
YEAR = {2007},
NUMBER = {2},
PAGES = {149--160},
ISSN = {0217-5959},
MRCLASS = {90C20 (90C26 90C46)},
MRNUMBER = {MR2320102 (2008c:90038)},
MRREVIEWER = {Rafa{\l}K. Goebel},
}
@article {MR2291565,
AUTHOR = {Jeyakumar, V. and Wu, Z. Y.},
TITLE = {A qualification free sequential {P}shenichnyi-{R}ockafellar
lemma and convex semidefinite programming},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {13},
YEAR = {2006},
NUMBER = {3-4},
PAGES = {773--784},
ISSN = {0944-6532},
MRCLASS = {90C25 (90C22)},
MRNUMBER = {MR2291565 (2007m:90063)},
MRREVIEWER = {Renata Sotirov},
}
@article {MR2265756,
AUTHOR = {Jeyakumar, V. and Th{\'e}ra, M. and Wu, Z. Y.},
TITLE = {Asymptotic sums of monotone operators},
JOURNAL = {Pac. J. Optim.},
FJOURNAL = {Pacific Journal of Optimization. An International Journal},
VOLUME = {2},
YEAR = {2006},
NUMBER = {3},
PAGES = {591--598},
ISSN = {1348-9151},
MRCLASS = {47H05 (47N10 49J53)},
MRNUMBER = {MR2265756 (2007f:47048)},
MRREVIEWER = {Teemu Pennanen},
}
@article {MR2263179,
AUTHOR = {Jeyakumar, V. and Rubinov, A. M. and Wu, Z. Y.},
TITLE = {Sufficient global optimality conditions for non-convex
quadratic minimization problems with box constraints},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {36},
YEAR = {2006},
NUMBER = {3},
PAGES = {471--481},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C26 (90C46)},
MRNUMBER = {MR2263179 (2007j:90050)},
MRREVIEWER = {Josef Haberl},
}
@article {MR2256887,
AUTHOR = {Jeyakumar, V. and Wu, Z. Y. and Lee, G. M. and Dinh, N.},
TITLE = {Liberating the subgradient optimality conditions from
constraint qualifications},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {36},
YEAR = {2006},
NUMBER = {1},
PAGES = {127--137},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C46 (90C25)},
MRNUMBER = {MR2256887 (2007f:90142)},
MRREVIEWER = {Costel M. B{\u{a}}lc{\u{a}}u},
}
@article {MR2254316,
AUTHOR = {Jeyakumar, V. and Lee, G. M. and Dinh, N.},
TITLE = {Characterizations of solution sets of convex vector
minimization problems},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {174},
YEAR = {2006},
NUMBER = {3},
PAGES = {1380--1395},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C29 (90C25 90C31 90C46 90C47)},
MRNUMBER = {MR2254316 (2007d:90091)},
MRREVIEWER = {Enrico Miglierina},
}
@article {MR2238652,
AUTHOR = {Jeyakumar, V. and Ormerod, J. and Womersley, R. S.},
TITLE = {Knowledge-based semidefinite linear programming classifiers},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {21},
YEAR = {2006},
NUMBER = {5},
PAGES = {693--706},
ISSN = {1055-6788},
MRCLASS = {90C22 (62H30 68T05)},
MRNUMBER = {MR2238652 (2007c:90065)},
MRREVIEWER = {On{\'e}simo Hern{\'a}ndez Lerma},
}
@article {MR2238413,
AUTHOR = {Dinh, N. and Jeyakumar, V. and Lee, G. M.},
TITLE = {Lagrange multiplier characterizations of solution sets of
constrained pseudolinear optimization problems},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {55},
YEAR = {2006},
NUMBER = {3},
PAGES = {241--250},
ISSN = {0233-1934},
MRCLASS = {90C26 (90C46)},
MRNUMBER = {MR2238413 (2007e:90080)},
MRREVIEWER = {Bienvenido Jim{\'e}nez},
}
@article {MR2234014,
AUTHOR = {Huy, N. Q. and Jeyakumar, V. and Lee, G. M.},
TITLE = {Sufficient global optimality conditions for multi-extremal
smooth minimisation problems with bounds and linear matrix
inequality constraints},
JOURNAL = {ANZIAM J.},
FJOURNAL = {The ANZIAM Journal. The Australian \& New Zealand Industrial
and Applied Mathematics Journal},
VOLUME = {47},
YEAR = {2006},
NUMBER = {4},
PAGES = {439--450},
ISSN = {1446-1811},
MRCLASS = {90C30 (90C22 90C46)},
MRNUMBER = {MR2234014 (2007c:90088)},
MRREVIEWER = {Wei Hong Yang},
}
@article {MR2211195,
AUTHOR = {Burachik, R. S. and Jeyakumar, V. and Wu, Z.-Y.},
TITLE = {Necessary and sufficient conditions for stable conjugate
duality},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {64},
YEAR = {2006},
NUMBER = {9},
PAGES = {1998--2006},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {49N15 (52A41 90C25 90C46)},
MRNUMBER = {MR2211195 (2006k:49097)},
MRREVIEWER = {Juan-Enrique Mart{\'{\i}}nez-Legaz},
}
@article {MR2196849,
AUTHOR = {Goberna, M. A. and Jeyakumar, V. and Dinh, N.},
TITLE = {Dual characterizations of set containments with strict convex
inequalities},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {34},
YEAR = {2006},
NUMBER = {1},
PAGES = {33--54},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C46 (90C25)},
MRNUMBER = {MR2196849 (2006k:90160)},
MRREVIEWER = {Virginia N. Vera de Serio},
}
@article {MR2195618,
AUTHOR = {Jeyakumar, V.},
TITLE = {The strong conical hull intersection property for convex
programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {106},
YEAR = {2006},
NUMBER = {1, Ser. A},
PAGES = {81--92},
ISSN = {0025-5610},
MRCLASS = {90C25 (49J53)},
MRNUMBER = {MR2195618 (2006i:90049)},
MRREVIEWER = {Aris Daniilidis},
}
@article {MR2197287,
AUTHOR = {Burachik, R. S. and Jeyakumar, V.},
TITLE = {A dual condition for the convex subdifferential sum formula
with applications},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {12},
YEAR = {2005},
NUMBER = {2},
PAGES = {279--290},
ISSN = {0944-6532},
MRCLASS = {49J52 (46N10 90C46)},
MRNUMBER = {MR2197287 (2006m:49027)},
MRREVIEWER = {Fabi{\'a}n Flores-Baz{\'a}n},
}
@article {MR2179236,
AUTHOR = {Burachik, Regina Sandra and Jeyakumar, Vaithilingam},
TITLE = {A new geometric condition for {F}enchel's duality in infinite
dimensional spaces},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {104},
YEAR = {2005},
NUMBER = {2-3, Ser. B},
PAGES = {229--233},
ISSN = {0025-5610},
MRCLASS = {90C46 (49J52 49N15 90C48)},
MRNUMBER = {MR2179236 (2006g:90164)},
MRREVIEWER = {Nicolas Hadjisavvas},
}
@article {MR2178933,
AUTHOR = {Dinh, N. and Jeyakumar, V. and Lee, G. M.},
TITLE = {Sequential {L}agrangian conditions for convex programs with
applications to semidefinite programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {125},
YEAR = {2005},
NUMBER = {1},
PAGES = {85--112},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C22 (90C25 90C46)},
MRNUMBER = {MR2178933 (2006k:90093)},
MRREVIEWER = {Christiane Tammer},
}
@article {MR2158527,
AUTHOR = {Jeyakumar, V. and Mohebi, H.},
TITLE = {Limiting {$\epsilon$}-subgradient characterizations of
constrained best approximation},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {135},
YEAR = {2005},
NUMBER = {2},
PAGES = {145--159},
ISSN = {0021-9045},
CODEN = {JAXTAZ},
MRCLASS = {41A29 (49J52 90C30)},
MRNUMBER = {MR2158527 (2006k:41030)},
MRREVIEWER = {Wu Li},
}
@article {MR2150897,
AUTHOR = {Jeyakumar, V. and Mohebi, H.},
TITLE = {A global approach to nonlinearly constrained best
approximation},
JOURNAL = {Numer. Funct. Anal. Optim.},
FJOURNAL = {Numerical Functional Analysis and Optimization. An
International Journal},
VOLUME = {26},
YEAR = {2005},
NUMBER = {2},
PAGES = {205--227},
ISSN = {0163-0563},
CODEN = {NFADOL},
MRCLASS = {90C46 (41A29 41A65 90C48)},
MRNUMBER = {MR2150897 (2006b:90103)},
MRREVIEWER = {Hans Benker},
}
@article {MR2120273,
AUTHOR = {Burachik, Regina Sandra and Jeyakumar, Vaithilingam},
TITLE = {A simple closure condition for the normal cone intersection
formula},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {133},
YEAR = {2005},
NUMBER = {6},
PAGES = {1741--1748 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {49J52 (46N10 90C31)},
MRNUMBER = {MR2120273 (2006a:49021)},
MRREVIEWER = {Didier Aussel},
}
@article {MR2112966,
AUTHOR = {Jeyakumar, V. and Yen, N. D.},
TITLE = {Solution stability of nonsmooth continuous systems with
applications to cone-constrained optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {14},
YEAR = {2004},
NUMBER = {4},
PAGES = {1106--1127 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C31 (49J53 49K40)},
MRNUMBER = {MR2112966 (2005h:90138)},
MRREVIEWER = {Oliver Stein},
}
@article {MR2100264,
AUTHOR = {Jeyakumar, V. and Lee, G. M. and Dinh, N.},
TITLE = {Lagrange multiplier conditions characterizing the optimal
solution sets of cone-constrained convex programs},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {123},
YEAR = {2004},
NUMBER = {1},
PAGES = {83--103},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25 (90C22 90C32 90C46 90C48)},
MRNUMBER = {MR2100264 (2005i:90044)},
MRREVIEWER = {Marco Antonio L{\'o}pez-Cerd{\'a}},
}
@article {MR2048156,
AUTHOR = {Jeyakumar, V. and Lee, G. M. and Dinh, N.},
TITLE = {New sequential {L}agrange multiplier conditions characterizing
optimality without constraint qualification for convex
programs},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {14},
YEAR = {2003},
NUMBER = {2},
PAGES = {534--547 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C46 (90C22 90C25 90C34 90C48)},
MRNUMBER = {MR2048156 (2005a:90178)},
MRREVIEWER = {Doug Ward},
}
@article {MR2005911,
AUTHOR = {Jeyakumar, V.},
TITLE = {Characterizing set containments involving infinite convex
constraints and reverse-convex constraints},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {13},
YEAR = {2003},
NUMBER = {4},
PAGES = {947--959 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C25 (90C30)},
MRNUMBER = {MR2005911 (2004f:90104)},
MRREVIEWER = {Hubertus Th. Jongen},
}
@article {MR1972221,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {Sharp variational conditions for convex composite nonsmooth
functions},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {13},
YEAR = {2002},
NUMBER = {3},
PAGES = {904--920 (electronic) (2003)},
ISSN = {1052-6234},
MRCLASS = {49J52 (90C46)},
MRNUMBER = {MR1972221 (2004d:49038)},
MRREVIEWER = {Dariusz Zagrodny},
}
@article {MR1924770,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {Convex interior mapping theorems for continuous nonsmooth
functions and optimization},
JOURNAL = {J. Nonlinear Convex Anal.},
FJOURNAL = {Journal of Nonlinear and Convex Analysis. An International
Journal},
VOLUME = {3},
YEAR = {2002},
NUMBER = {2},
PAGES = {251--266},
ISSN = {1345-4773},
MRCLASS = {49J52 (90C46)},
MRNUMBER = {MR1924770 (2003e:49029)},
MRREVIEWER = {Giorgio Giorgi},
}
@article {MR1910909,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {An open mapping theorem using unbounded generalized
{J}acobians},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {50},
YEAR = {2002},
NUMBER = {5, Ser. A: Theory Methods},
PAGES = {647--663},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {49J53 (26B10 49J52 58C15)},
MRNUMBER = {MR1910909 (2003d:49027)},
MRREVIEWER = {Asen L. Dontchev},
}
@preamble{
"\def\cprime{$'$} "
}
@article {MR1892302,
AUTHOR = {Jeyakumar, V. and Luc, D. T. and Tinh, P. N.},
TITLE = {Convex composite non-{L}ipschitz programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {92},
YEAR = {2002},
NUMBER = {1, Ser. A},
PAGES = {177--195},
ISSN = {0025-5610},
MRCLASS = {90C46 (49J52)},
MRNUMBER = {MR1892302 (2002m:90100)},
MRREVIEWER = {V. F. Dem{\cprime}yanov},
}
@article {MR1854013,
AUTHOR = {Fischer, A. and Jeyakumar, V. and Luc, D. T.},
TITLE = {Solution point characterizations and convergence analysis of a
descent algorithm for nonsmooth continuous complementarity
problems},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {110},
YEAR = {2001},
NUMBER = {3},
PAGES = {493--513},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C33 (49J52)},
MRNUMBER = {MR1854013 (2002f:90133)},
MRREVIEWER = {Stephen C. Billups},
}
@incollection {MR1777622,
AUTHOR = {Jeyakumar, Vaithilingam and Nealon, Michael J.},
TITLE = {Complete dual characterizations of optimality for convex
semidefinite programming},
BOOKTITLE = {Constructive, experimental, and nonlinear analysis ({L}imoges,
1999)},
SERIES = {CMS Conf. Proc.},
VOLUME = {27},
PAGES = {165--173},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2000},
MRCLASS = {90C22 (90C08 90C49)},
MRNUMBER = {MR1777622 (2001i:90054)},
MRREVIEWER = {Levent Tun{\c{c}}el},
}
@article {MR1777084,
AUTHOR = {Wang, X. and Jeyakumar, V.},
TITLE = {A sharp {L}agrange multiplier rule for nonsmooth mathematical
programming problems involving equality constraints},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {10},
YEAR = {2000},
NUMBER = {4},
PAGES = {1136--1148 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C46 (49J52 49K35)},
MRNUMBER = {MR1777084 (2001i:90115)},
MRREVIEWER = {Doug Ward},
}
@article {MR1692196,
AUTHOR = {Jeyakumar, V. and Luc, D. T.},
TITLE = {Nonsmooth calculus, minimality, and monotonicity of
convexificators},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {101},
YEAR = {1999},
NUMBER = {3},
PAGES = {599--621},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49J52 (47N10 90C48)},
MRNUMBER = {MR1692196 (2000e:49023)},
MRREVIEWER = {Peter Recht},
}
@article {MR1687256,
AUTHOR = {Glover, B. M. and Jeyakumar, V. and Rubinov, A. M.},
TITLE = {Dual conditions characterizing optimality for convex
multi-objective programs},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {84},
YEAR = {1999},
NUMBER = {1, Ser. A},
PAGES = {201--217},
ISSN = {0025-5610},
MRCLASS = {90C29 (49J52 90C25)},
MRNUMBER = {MR1687256 (2000b:90070)},
MRREVIEWER = {Christiane Tammer},
}
@article {MR1688236,
AUTHOR = {Jeyakumar, V. and Yang, X. Q.},
TITLE = {Approximate generalized {H}essians and {T}aylor's expansions
for continuously {G}\^ateaux differentiable functions},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {36},
YEAR = {1999},
NUMBER = {3, Ser. A: Theory Methods},
PAGES = {353--368},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {49J53 (49J52 58C20 90C46)},
MRNUMBER = {MR1688236 (2000f:49018)},
MRREVIEWER = {Lionel Thibault},
}
@article {MR1674597,
AUTHOR = {Jeyakumar, V. and Wang, X.},
TITLE = {Approximate {H}essian matrices and second-order optimality
conditions for nonlinear programming problems with {$C\sp
1$}-data},
JOURNAL = {J. Austral. Math. Soc. Ser. B},
FJOURNAL = {Australian Mathematical Society. Journal. Series B. Applied
Mathematics},
VOLUME = {40},
YEAR = {1999},
NUMBER = {3},
PAGES = {403--420},
ISSN = {0334-2700},
CODEN = {JAMMDU},
MRCLASS = {49J52 (90C31)},
MRNUMBER = {MR1674597 (99k:49036)},
MRREVIEWER = {Doug Ward},
}
.lanlan.bib 0000640 0010230 0010230 00000001260 14274736043 013673 0 ustar hwolkowi hwolkowicz # This file contains bib entries
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
####
#####
# author: Lanlan Yu
# personal URL:
#
#
#
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
%AAAAAAAAAA
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author = { hadf ahsdfas },
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.leventmay08.bib 0000640 0010230 0010230 00000054415 12346654602 014612 0 ustar hwolkowi hwolkowicz %% GI.bib
%% =============================================
%% Bibliography of Levent Tuncel
%% may/08
%% ============================================
%% Abbreviations of Journal names:
@string{AMEMM = "Amer. Math. Monthly"}
@string{ANNIS = "Ann. Inst. Statist. Math."}
@string{APPMC = "Appl. Math. Comput."}
@string{BULAM1 = "Bull. Amer. Math. Soc."}
@string{COMMA1 = "Comm. ACM"}
@string{COMPJ = "Comput. J."}
@string{COMPU = "Computing"}
@string{DOKAN2 = "Dokl. Akad. Nauk SSSR"}
@string{IEETA5 = "IEEE Trans. Automatic Control"}
@string{IEETS2 = "IEEE Trans. Systems Man Cybernet."}
@string{INDJM1 = "Indian J. Math."}
@string{ISRJM = "Israel J. Math."}
@string{JAMES = "J. Amer. Statist. Assoc."}
@string{JAPPT1 = "J. Approximation Theory"}
@string{JASSC = "J. Assoc. Comput. Mach."}
@string{JAUSMA = "J. Austral. Math. Soc. Ser. A"}
@string{JFRAI = "J. Franklin Inst."}
@string{JLONM1 = "J. London Math. Soc."}
@string{JMATA = "J. Math. Anal. Appl."}
@string{JOPTT2 = "J. Optim. Theory Appl."}
@string{LINAA1 = "Linear Algebra and its Applications"}
@string{LINMA = "Linear and Multilinear Algebra"}
@string{MATHC2 = "Math. Comput."}
@string{MATPC = "Math. Proc. Cambridge Philos. Soc."}
@string{NUMEM = "Numer. Math."}
@string{OPERR1 = "Operations Res."}
@string{PACJM = "Pacific J. Math."}
@string{PROAM = "Proc. Amer. Math. Soc."}
@string{PROCPS = "Proceedings of the Cambridge Philosophical Society"}
@string{PRONA = "Proc. Nat. Acad. Sci. U.S.A."}
@string{REVRM = "Rev. Roumaine Math. Pures Appl."}
@string{PRRSLA = "Proc. Roy. Soc. London Ser. A"}
@string{QUAAM = "Quart. Appl. Math."}
@string{SANKA = "Sankhy{\=a} Ser. A"}
@string{SANKB = "Sankhy{\=a} Ser. B"}
@string{SIAJA1 = "SIAM J. Algebraic Discrete Methods"}
@string{SIAJA = "SIAM J. Appl. Math."}
@string{SIAJC1 = "SIAM J. Comput."}
@string{SIAJC3 = "SIAM J. Control Optim."}
@string{SIAJC2 = "SIAM J. Control Optimization"}
@string{SIAJD = "SIAM J. Discrete Math."}
@string{SIAJM = "SIAM J. Math. Anal."}
@string{SIAJM1 = "SIAM J. Matrix Anal. Appl."}
@string{SIAJN = "SIAM J. Numer. Anal."}
@string{SIAJO = "SIAM J. Optim."}
@string{SIAJS1 = "SIAM J. Sci. Comput."}
@string{SIAJS = "SIAM J. Sci. Statist. Comput."}
@string{SIAMR = "SIAM Rev."}
@string{SOVMD = "Soviet Math. Dokl."}
@string{TRAAM = "Trans. Amer. Math. Soc."}
@string{ZANGM1 = "Z. Angew. Math. Mech."}
@string{ZANGM2 = "Z. Angew. Math. Phys."}
@string{ZVYCM1 = "Zh. Vychisl. Mat. i Mat. Fiz."}
%% =====================================================
@preamble{
"\def\polhk#1{\setbox0=\hbox{#1}{\ooalign{\hidewidth
\lower1.5ex\hbox{`}\hidewidth\crcr\unhbox0}}} "
}
@article {MR2363454,
AUTHOR = {Hong, Sung-Pil and Tun{\c{c}}el, Levent},
TITLE = {Unification of lower-bound analyses of the lift-and-project
rank of combinatorial optimization polyhedra},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {156},
YEAR = {2008},
NUMBER = {1},
PAGES = {25--41},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C10 (90C22 90C27)},
MRNUMBER = {MR2363454},
}
@article {MR2322886,
AUTHOR = {Chua, Chek Beng and Tun{\c{c}}el, Levent},
TITLE = {Invariance and efficiency of convex representations},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {111},
YEAR = {2008},
NUMBER = {1-2, Ser. B},
PAGES = {113--140},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C25 90C51)},
MRNUMBER = {MR2322886},
MRREVIEWER = {Qingzhi Yang},
}
@article {MR2335097,
AUTHOR = {Shioda, Romy and Tun{\c{c}}el, Levent},
TITLE = {Clustering via minimum volume ellipsoids},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {37},
YEAR = {2007},
NUMBER = {3},
PAGES = {247--295},
ISSN = {0926-6003},
MRCLASS = {90C22 (62H30 90C11)},
MRNUMBER = {MR2335097 (2008f:90072)},
}
@article {MR2295140,
AUTHOR = {Andersen, Erling and de Klerk, Etienne and Tun{\c{c}}el,
Levent and Wolkowicz, Henry and Zhang, Shuzhong},
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
}
@article {MR2131915,
AUTHOR = {Tun{\c{c}}el, Levent and Wolkowicz, Henry},
TITLE = {Strengthened existence and uniqueness conditions for search
directions in semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {400},
YEAR = {2005},
PAGES = {31--60},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C22 (15A39)},
MRNUMBER = {MR2131915 (2006a:90070)},
MRREVIEWER = {Etienne de Klerk},
}
@article {MR2124446,
AUTHOR = {Nemirovski, Arkadi and Tun{\c{c}}el, Levent},
TITLE = {``{C}one-free'' primal-dual path-following and
potential-reduction polynomial time interior-point methods},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {102},
YEAR = {2005},
NUMBER = {2, Ser. A},
PAGES = {261--294},
ISSN = {0025-5610},
MRCLASS = {90C51 (90C25)},
MRNUMBER = {MR2124446 (2006d:90235)},
MRREVIEWER = {Serge G. Kruk},
}
@article {MR2091033,
AUTHOR = {Lipt{\'a}k, L{\'a}szl{\'o} and Tun{\c{c}}el, Levent},
TITLE = {Lift-and-project ranks and antiblocker duality},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {33},
YEAR = {2005},
NUMBER = {1},
PAGES = {35--41},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C10 (05C69 90C22 90C27)},
MRNUMBER = {MR2091033 (2005e:90076)},
MRREVIEWER = {J{\"u}rgen K{\"o}hler},
}
@article {MR2062929,
AUTHOR = {Truong, Van Anh and Tun{\c{c}}el, Levent},
TITLE = {Geometry of homogeneous convex cones, duality mapping, and
optimal self-concordant barriers},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {100},
YEAR = {2004},
NUMBER = {2, Ser. A},
PAGES = {295--316},
ISSN = {0025-5610},
MRCLASS = {90C25 (49M37 52A41 65K05 90C05 90C51)},
MRNUMBER = {MR2062929 (2005a:90124)},
}
@article {MR2021059,
AUTHOR = {Lipt{\'a}k, L{\'a}szl{\'o} and Tun{\c{c}}el, Levent},
TITLE = {The stable set problem and the lift-and-project ranks of
graphs},
NOTE = {Integer programming (Pittsburgh, PA, 2002)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {98},
YEAR = {2003},
NUMBER = {1-3, Ser. B},
PAGES = {319--353},
ISSN = {0025-5610},
MRCLASS = {90C09 (05C69 90C27 90C57)},
MRNUMBER = {MR2021059 (2004j:90063)},
MRREVIEWER = {Mechthild Opperud},
}
@incollection {MR2021980,
AUTHOR = {Ho, Jackie C. K. and Tun{\c{c}}el, Levent},
TITLE = {Reconciliation of various complexity and condition measures
for linear programming problems and a generalization of
{T}ardos' theorem},
BOOKTITLE = {Foundations of computational mathematics (Hong Kong, 2000)},
PAGES = {93--147},
PUBLISHER = {World Sci. Publ., River Edge, NJ},
YEAR = {2002},
MRCLASS = {90C60 (65Y20 90C05)},
MRNUMBER = {MR2021980 (2004m:90243)},
MRREVIEWER = {E. Alper Y{\i} ld{\i} r{\i} m},
}
@article {MR1940975,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {On the finite convergence of successive {SDP} relaxation
methods},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {325--341},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1940975 (2003j:90035)},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1932386,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Some fundamental properties of successive convex relaxation
methods on {LCP} and related problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {24},
YEAR = {2002},
NUMBER = {3},
PAGES = {333--348},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C33 (90C09 90C11 90C20 90C48)},
MRNUMBER = {MR1932386 (2004b:90125)},
MRREVIEWER = {Panos M. Pardalos},
}
@article {MR1895826,
AUTHOR = {Tun{\c{c}}el, Levent and Xu, Song},
TITLE = {On homogeneous convex cones, the {C}arath\'eodory number, and
the duality mapping},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {26},
YEAR = {2001},
NUMBER = {2},
PAGES = {234--247},
ISSN = {0364-765X},
MRCLASS = {90C25 (52A41 90C51)},
MRNUMBER = {MR1895826 (2003c:90080)},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1876975,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {On the {S}later condition for the {SDP} relaxations of
nonconvex sets},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {29},
YEAR = {2001},
NUMBER = {4},
PAGES = {181--186},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C22 (90C27 90C46)},
MRNUMBER = {MR1876975 (2002k:90076)},
MRREVIEWER = {Klaus Hofstedt},
}
@article {MR1870745,
AUTHOR = {Goemans, Michel X. and Tun{\c{c}}el, Levent},
TITLE = {When does the positive semidefiniteness constraint help in
lifting procedures?},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {26},
YEAR = {2001},
NUMBER = {4},
PAGES = {796--815},
ISSN = {0364-765X},
MRCLASS = {90C09 (90C22 90C27)},
MRNUMBER = {MR1870745 (2002h:90036)},
MRREVIEWER = {Didier Henrion},
}
@article {MR1838754,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {Generalization of primal-dual interior-point methods to convex
optimization problems in conic form},
JOURNAL = {Found. Comput. Math.},
FJOURNAL = {Foundations of Computational Mathematics. The Journal of the
Society for the Foundations of Computational Mathematics},
VOLUME = {1},
YEAR = {2001},
NUMBER = {3},
PAGES = {229--254},
ISSN = {1615-3375},
MRCLASS = {90C51 (65K05 90C25)},
MRNUMBER = {MR1838754 (2002c:90105)},
MRREVIEWER = {Shu Zhong Zhang},
}
@article {MR1819786,
AUTHOR = {Todd, Michael J. and Tun{\c{c}}el, Levent and Ye, Yinyu},
TITLE = {Characterizations, bounds, and probabilistic analysis of two
complexity measures for linear programming problems},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {90},
YEAR = {2001},
NUMBER = {1, Ser. A},
PAGES = {59--69},
ISSN = {0025-5610},
MRCLASS = {90C05 (68Q25 90C51 90C60)},
MRNUMBER = {MR1819786 (2002f:90059)},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@article {MR1814549,
AUTHOR = {Pataki, G{\'a}bor and Tun{\c{c}}el, Levent},
TITLE = {On the generic properties of convex optimization problems in
conic form},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2001},
NUMBER = {3, Ser. A},
PAGES = {449--457},
ISSN = {0025-5610},
MRCLASS = {90C25 (90C31)},
MRNUMBER = {MR1814549 (2001k:90049)},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1795058,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Discretization and localization in successive convex
relaxation methods for nonconvex quadratic optimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2000},
NUMBER = {1, Ser. A},
PAGES = {79--111},
ISSN = {0025-5610},
MRCLASS = {90C26 (90C08 90C34 90C51)},
MRNUMBER = {MR1795058 (2002e:90070)},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@incollection {MR1778231,
AUTHOR = {Tuncel, Levent},
TITLE = {Potential reduction and primal-dual methods},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {235--265},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1778231},
}
@article {MR1774772,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Cones of matrices and successive convex relaxations of
nonconvex sets},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {10},
YEAR = {2000},
NUMBER = {3},
PAGES = {750--778 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C26 (52A41 90C20)},
MRNUMBER = {MR1774772 (2001i:90062)},
MRREVIEWER = {Jos F. Sturm},
}
@article {MR1712481,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {Approximating the complexity measure of {V}avasis-{Y}e
algorithm is {NP}-hard},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {86},
YEAR = {1999},
NUMBER = {1, Ser. A},
PAGES = {219--223},
ISSN = {0025-5610},
MRCLASS = {90C60 (65Y20)},
MRNUMBER = {MR1712481 (2000f:90114)},
MRREVIEWER = {Klaus Meer},
}
@article {MR1696861,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {On the condition numbers for polyhedra in {K}armarkar's form},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {24},
YEAR = {1999},
NUMBER = {4},
PAGES = {149--155},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C51 (90C05)},
MRNUMBER = {MR1696861 (2000f:90100)},
MRREVIEWER = {Shu Zhong Zhang},
}
@article {MR1679051,
AUTHOR = {Stephen, Tamon and Tun{\c{c}}el, Levent},
TITLE = {On a representation of the matching polytope via semidefinite
liftings},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {24},
YEAR = {1999},
NUMBER = {1},
PAGES = {1--7},
ISSN = {0364-765X},
MRCLASS = {90C35 (05C70 05C85 90C60)},
MRNUMBER = {MR1679051 (2000d:90102)},
MRREVIEWER = {Valentin E. Brimkov},
}
@article {MR1754742,
AUTHOR = {Kojima, Masakazu and Tun{\c{c}}el, Levent},
TITLE = {Monotonicity of primal-dual interior-point algorithms for
semidefinite programming problems},
NOTE = {Dedicated to Professor Masao Iri on the occasion of his 65th
birthday},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {10},
YEAR = {1998},
NUMBER = {2},
PAGES = {275--296},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1754742 (2000m:90026)},
}
@article {MR1653730,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {Primal-dual symmetry and scale invariance of interior-point
algorithms for convex optimization},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {23},
YEAR = {1998},
NUMBER = {3},
PAGES = {708--718},
ISSN = {0364-765X},
MRCLASS = {90C25 (52A41 90C60)},
MRNUMBER = {MR1653730 (99k:90119)},
MRREVIEWER = {Shinji Mizuno},
}
@article {MR1617693,
AUTHOR = {G{\"u}ler, Osman and Tun{\c{c}}el, Levent},
TITLE = {Characterization of the barrier parameter of homogeneous
convex cones},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {81},
YEAR = {1998},
NUMBER = {1, Ser. A},
PAGES = {55--76},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C30 (49M30)},
MRNUMBER = {MR1617693 (99f:90124)},
MRREVIEWER = {Guillermo L. Hansen},
}
@article {MR1601884,
AUTHOR = {Seifi, Abbas and Tun{\c{c}}el, Levent},
TITLE = {A constant-potential infeasible-start interior-point algorithm
with computational experiments and applications},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {9},
YEAR = {1998},
NUMBER = {2},
PAGES = {107--152},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C05},
MRNUMBER = {MR1601884 (98m:90083)},
MRREVIEWER = {K. Schittkowski},
}
@article {MR1462059,
AUTHOR = {Ramana, Motakuri V. and Tun{\c{c}}el, Levent and Wolkowicz,
Henry},
TITLE = {Strong duality for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3},
PAGES = {641--662},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (49M35 49N15)},
MRNUMBER = {MR1462059 (98m:90147)},
MRREVIEWER = {J. Borwein},
}
@article {MR1451702,
AUTHOR = {Tun{\c{c}}el, Levent and Todd, Michael J.},
TITLE = {On the interplay among entropy, variable metrics and potential
functions in interior-point algorithms},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {8},
YEAR = {1997},
NUMBER = {1},
PAGES = {5--19},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C05 (65K05)},
MRNUMBER = {MR1451702 (98h:90044)},
MRREVIEWER = {Yin Zhang},
}
@incollection {MR1423149,
AUTHOR = {Cheriyan, J. and Cunningham, W. H. and Tun{\c{c}}el, L. and
Wang, Y.},
TITLE = {A linear programming and rounding approach to max 2-sat},
BOOKTITLE = {Cliques, coloring, and satisfiability (New Brunswick, NJ,
1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {26},
PAGES = {395--414},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {90C09 (68Q25 90C27)},
MRNUMBER = {MR1423149 (97i:90044)},
}
@article {MR1397219,
AUTHOR = {Tun{\c{c}}el, Levent and Todd, Michael J.},
TITLE = {Asymptotic behavior of interior-point methods: a view from
semi-infinite programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {21},
YEAR = {1996},
NUMBER = {2},
PAGES = {354--381},
ISSN = {0364-765X},
MRCLASS = {90C05 (65K05)},
MRNUMBER = {MR1397219 (97e:90038)},
MRREVIEWER = {John J. Dinkel},
}
@article {MR1321918,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {On the convergence of primal-dual interior-point methods with
wide neighborhoods},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {4},
YEAR = {1995},
NUMBER = {2},
PAGES = {139--158},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C05},
MRNUMBER = {MR1321918 (96c:90050)},
MRREVIEWER = {S. R. Mohan},
}
@article {MR1297059,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {Constant potential primal-dual algorithms: a framework},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {145--159},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C05},
MRNUMBER = {MR1297059 (95f:90045)},
MRREVIEWER = {Florian Jarre},
}
@article {MR1287819,
AUTHOR = {Mizuno, Shinji and Todd, Michael J. and Tun{\c{c}}el, Levent},
TITLE = {Monotonicity of primal and dual objective values in
primal-dual interior-point algorithms},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {4},
YEAR = {1994},
NUMBER = {3},
PAGES = {613--625},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C05 (90C60)},
MRNUMBER = {MR1287819 (95e:90053)},
MRREVIEWER = {S.-C. Fang},
}
@article {MR1264268,
AUTHOR = {Tun{\c{c}}el, Levent},
TITLE = {On the complexity of preflow-push algorithms for maximum-flow
problems},
JOURNAL = {Algorithmica},
FJOURNAL = {Algorithmica. An International Journal in Computer Science},
VOLUME = {11},
YEAR = {1994},
NUMBER = {4},
PAGES = {353--359},
ISSN = {0178-4617},
CODEN = {ALGOEJ},
MRCLASS = {90B10 (05C85 68Q25 68R10)},
MRNUMBER = {MR1264268 (94m:90041)},
}
@article {MR1201998,
AUTHOR = {Todd, Michael J. and Tun{\c{c}}el, Levent},
TITLE = {A new triangulation for simplicial algorithms},
JOURNAL = {SIAM J. Discrete Math.},
FJOURNAL = {SIAM Journal on Discrete Mathematics},
VOLUME = {6},
YEAR = {1993},
NUMBER = {1},
PAGES = {167--180},
ISSN = {0895-4801},
CODEN = {SJDMEC},
MRCLASS = {65H20 (57Q15)},
MRNUMBER = {MR1201998 (93i:65062)},
}
@article {MR1183675,
AUTHOR = {Tun{\c{c}}el, Levent and Jackson, Peter L.},
TITLE = {On the convexity of a function related to the
{W}agner-{W}hitin model},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {11},
YEAR = {1992},
NUMBER = {4},
PAGES = {255--259},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90A11 (90B80)},
MRNUMBER = {MR1183675},
}
.lovasz.bib 0000640 0010230 0010230 00000000464 13103416304 013732 0 ustar hwolkowi hwolkowicz @Inbook{Lovasz2003,
author="Lov{\'a}sz, L.",
editor="Reed, Bruce A.
and Sales, Cl{\'a}udia L.",
chapter="Semidefinite Programs and Combinatorial Optimization",
title="Recent Advances in Algorithms and Combinatorics",
year="2003",
publisher="Springer New York",
address="New York, NY",
pages="137--194"
}
.lowner.bib 0000640 0010230 0010230 00000022771 13157540104 013734 0 ustar hwolkowi hwolkowicz # This file contains papers related to the Lowner partial order
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/lowner.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
@article {MR98f:47022,
AUTHOR = {Furuta, Takayuki},
TITLE = {Equivalence relations among {R}eid, {L}\"owner-{H}einz and
{H}einz-{K}ato inequalities, and extensions of these
inequalities},
JOURNAL = {Integral Equations Operator Theory},
FJOURNAL = {Integral Equations and Operator Theory},
VOLUME = {29},
YEAR = {1997},
NUMBER = {1},
PAGES = {1--9},
ISSN = {0378-620X},
}
@article {MR98d:62101,
AUTHOR = {Tsai, Ming-Tien},
TITLE = {Estimation of covariance matrices under {L}\"owner order
restrictions},
JOURNAL = {Sankhy\=a Ser. A},
FJOURNAL = {Sankhy\=a. The Indian Journal of Statistics. Series A},
VOLUME = {57},
YEAR = {1995},
NUMBER = {3},
PAGES = {433--439},
ISSN = {0581-572X},
}
@article {MR98c:15071,
AUTHOR = {Gro{\ss}, J{\"u}rgen},
TITLE = {Some remarks on the {L}\"owner partial ordering of {H}ermitian
matrices},
JOURNAL = {Discuss. Math. Algebra Stochastic Methods},
FJOURNAL = {Discussiones Mathematicae. Algebra and Stochastic Methods},
VOLUME = {16},
YEAR = {1996},
NUMBER = {2},
PAGES = {191--195},
ISSN = {1234-3080},
}
@article {MR98c:15015,
AUTHOR = {Liski, Erkki P.},
TITLE = {On {L}\"owner-ordering antitonicity of matrix inversion},
JOURNAL = {Acta Math. Appl. Sinica (English Ser.)},
FJOURNAL = {Acta Mathematicae Applicatae Sinica. English Series. Yingyong
Shuxue Xuebao},
VOLUME = {12},
YEAR = {1996},
NUMBER = {4},
PAGES = {435--442},
ISSN = {0168-9673},
CODEN = {AASSEE},
}
@article {MR98b:15018,
AUTHOR = {Zhuang, Wa Jin},
TITLE = {Some results on {L}\"owner's partial ordering of matrices over
the division ring of real quaternions},
JOURNAL = {Zhangzhou Shiyuan Xuebao (Ziran Kexue Ban)},
FJOURNAL = {Zhangzhou Shiyuan Xuebao (Ziran Kexue Ban). Journal of
Zhangzhou Teachers College (Natural Science Edition)},
VOLUME = {10},
YEAR = {1996},
NUMBER = {4},
PAGES = {1--6},
ISSN = {1004-468X},
}
@article {MR97f:15009,
AUTHOR = {Zhuang, Wa Jin},
TITLE = {L\"owner's partial ordering of generalized inverses
${A}\{i,\cdots,j;*\}$ of selfadjoint quaternion matrices},
JOURNAL = {J. Math. Study},
FJOURNAL = {Journal of Mathematical Study. Shuxue Yanjiu},
VOLUME = {28},
YEAR = {1995},
NUMBER = {1},
PAGES = {61--68},
ISSN = {1006-6837},
}
@article {MR97d:15010,
AUTHOR = {Van Barel, M. and Vav{\v{r}}{\'\i}n, Z.},
TITLE = {Inversion of a block {L}\"owner matrix},
JOURNAL = {J. Comput. Appl. Math.},
FJOURNAL = {Journal of Computational and Applied Mathematics},
VOLUME = {69},
YEAR = {1996},
NUMBER = {2},
PAGES = {261--284},
ISSN = {0377-0427},
CODEN = {JCAMDI},
}
@book {MR94g:62143,
AUTHOR = {Nordstr{\"o}m, Kenneth},
TITLE = {Contributions to the comparison of linear models and to the
{L}\"owner-ordering antitonicity of generalized inverses},
NOTE = {Dissertation, University of Helsinki, Helsinki, 1990},
SERIES = {Tilastotieteellisi\"a Tutkimuksia [Statistical Studies]},
VOLUME = {12},
PUBLISHER = {Finnish Statistical Society},
ADDRESS = {Helsinki},
YEAR = {1990},
PAGES = {x+89},
ISBN = {951-95421-6-7},
}
@article {MR93f:30020,
AUTHOR = {Wrzesie{\'n}, Andrzej},
TITLE = {L\"owner equation in the class ${S}\sp {M}(\beta)$},
JOURNAL = {Zeszyty Nauk. Politech. Rzeszowskiej Mat. Fiz.},
FJOURNAL = {Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka i Fizyka},
NUMBER = {12},
YEAR = {1991},
PAGES = {75--81},
ISSN = {0209-2670},
}
@article {MR93a:30018,
AUTHOR = {Betker, Th.},
TITLE = {Univalence criteria and {L}\"owner chains},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {23},
YEAR = {1991},
NUMBER = {6},
PAGES = {563--567},
ISSN = {0024-6093},
CODEN = {LMSBBT},
}
@article {MR92g:30022,
AUTHOR = {Betker, Th.},
TITLE = {L\"owner chains and {H}ardy spaces},
JOURNAL = {Bull. London Math. Soc.},
FJOURNAL = {The Bulletin of the London Mathematical Society},
VOLUME = {23},
YEAR = {1991},
NUMBER = {4},
PAGES = {367--371},
ISSN = {0024-6093},
CODEN = {LMSBBT},
}
@article {MR92f:62073,
AUTHOR = {Calvin, James A. and Dykstra, Richard L.},
TITLE = {Maximum likelihood estimation of a set of covariance matrices
under {L}\"owner order restrictions with applications to
balanced multivariate variance components models},
JOURNAL = {Ann. Statist.},
FJOURNAL = {The Annals of Statistics},
VOLUME = {19},
YEAR = {1991},
NUMBER = {2},
PAGES = {850--869},
ISSN = {0090-5364},
CODEN = {ASTSC7},
}
@article {MR92e:15036,
AUTHOR = {Baksalary, Jerzy K. and Pukelsheim, Friedrich},
TITLE = {On the {L}\"owner, minus, and star partial orderings of
nonnegative definite matrices and their squares},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {151},
YEAR = {1991},
PAGES = {135--141},
ISSN = {0024-3795},
CODEN = {LAAPAW},
}
@article {MR91h:65019,
AUTHOR = {Fiedler, Miroslav},
TITLE = {L\"ownersche {M}atrizen und rationale {I}nterpolation},
NOTE = {Numerische Mathematik und ihre Anwendungen (Halle, 1982)},
JOURNAL = {Nova Acta Leopoldina (N.F.)},
FJOURNAL = {Nova Acta Leopoldina. Abhandlungen der Deutschen Akademie der
Naturforscher Leopoldina. Neue Folge},
VOLUME = {61},
YEAR = {1989},
NUMBER = {267},
PAGES = {185--190},
ISSN = {0369-5034},
CODEN = {NOALA4},
}
@article {MR91f:15014,
AUTHOR = {Baksalary, Jerzy K. and Nordstr{\"o}m, Kenneth and Styan,
George P. H.},
TITLE = {L\"owner-ordering antitonicity of generalized inverses of
{H}ermitian matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {127},
YEAR = {1990},
PAGES = {171--182},
ISSN = {0024-3795},
CODEN = {LAAPAW},
}
@article {MR91c:15002,
AUTHOR = {Nordstr{\"o}m, Kenneth},
TITLE = {Some further aspects of the {L}\"owner-ordering antitonicity of
the {M}oore-{P}enrose inverse},
JOURNAL = {Comm. Statist. Theory Methods},
FJOURNAL = {Communications in Statistics. Theory and Methods},
VOLUME = {18},
YEAR = {1989},
NUMBER = {12},
PAGES = {4471--4489 (1990)},
ISSN = {0361-0926},
CODEN = {CSTMDC},
}
@incollection {MR83h:15019,
AUTHOR = {Gaffke, N. and Krafft, O.},
TITLE = {Matrix inequalities in the {L}\"owner ordering},
BOOKTITLE = {Modern applied mathematics (Bonn, 1979)},
PAGES = {595--622},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1982},
}
@article {MR83g:47020,
AUTHOR = {Hansen, Frank and Pedersen, Gert Kjaerg{\.a}rd},
TITLE = {Jensen's inequality for operators and {L}\"owner's theorem},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {258},
YEAR = {1981/82},
NUMBER = {3},
PAGES = {229--241},
ISSN = {0025-5831},
CODEN = {MAANA3},
}
@article {MR82e:47021,
AUTHOR = {Sparr, Gunnar},
TITLE = {A new proof of {L}\"owner's theorem on monotone matrix
functions},
JOURNAL = {Math. Scand.},
FJOURNAL = {Mathematica Scandinavica},
VOLUME = {47},
YEAR = {1980},
NUMBER = {2},
PAGES = {266--274},
ISSN = {0025-5521},
CODEN = {MTSCAN},
}
.master.bib 0000640 0010230 0010230 00004205417 14555572761 013746 0 ustar hwolkowi hwolkowicz # This file contains miscellaneous (mathematical) bib entries
## with emphasis on Optimization and Matrix Theory.
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in this file .master.bib.
####
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
#### as part of:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
###
### I will also include these in the dedicated file .strings.bib
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
####
#### The string definitions are in this file .master.bib
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/master.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
###################################
###################################
###################################
####string definitions start - always in .master.bib file first.
#### i.e. changes are made in this file and copied to .strings.bib
#############
#############
########### definitions from Sturm start here
#### definitions are put at start - others follow below.
@preamble{
"\def\udot#1{\ifmmode\oalign{$#1$\crcr\hidewidth.\hidewidth
}\else\oalign{#1\crcr\hidewidth.\hidewidth}\fi} "
}
@STRING{ SV = "Springer-Verlag" }
@STRING{ MGH = "Mc{G}raw-Hill" }
@STRING{ W = "Wiley" }
@STRING{ JW = "John Wiley" }
@STRING{ WI = "Wiley-Interscience" }
@STRING{ PH = "Prentice-Hall" }
@STRING{ AW = "Addison-Wesley" }
@STRING{ PUP = "Princeton University Press" }
@STRING{ AP = "Academic Press" }
@STRING{ CUP = "Cambridge University Press" }
@STRING{ OUP = "Oxford University Press" }
@STRING{ ESP = "Elsevier Science Publisher B.V." }
@STRING{ KAP = "Kluwer Adademic Publishers" }
@STRING{ NY = "New York" }
@STRING{ B = "Berlin" }
@STRING{ NJ = "New Jersey" }
@STRING{ NH = "North-Holland" }
@STRING{ EIEUR = "Econometric Institute, Erasmus University Rotterdam" }
@STRING{ ROT = "Rotterdam, The Netherlands" }
@STRING{ S = "STURM, J.F."}
@STRING{ SZ = "STURM, J.F. and Zhang, S."}
@STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and ZHANG, S."}
@STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
#############################################
# The following is from V. Balakrishnan on SDP and systems control
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
#############################################
@string{
ijrnc=
{Int.\ J.\ Robust and Nonlinear Control}
}
@string{
acc=
{Proc.\ American Control Conf.}
}
@string{
aut=
{Automatica}
}
@string{
tcst=
{IEEE Trans.\ Control Sys.\ Tech.}
}
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
JASA=
{J. Amer. Statistical Association}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{
ieep=
{IEE Proc.}
}
#############################################
#############################################
##from Bertsimis
#############################################
@string{ICTA = {IEE Proc. -Control Theory Appl.}}
@String{IROS="IEEE Int. Conf. on Intelligent Robot Systems"}
@String{ICRA="Proc. IEEE Int. Conf. on Robotics and Automation"}
@String{IJRR = {Int. J. of Robot. Res.}}
@String{ITSMC ={IEEE Trans. Syst., Man, Cybern.}}
@String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals -
#### changed in master.bib first
@string{toms = "ACM Transactions on Mathematical Software"}
@STRING{aer = "American Economic Review"}
@STRING{ajae = "Americal Journal of Agricultural Economics"}
@STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."}
@STRING{AMERlong = "The American Statistician"}
@STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"}
@string{adm = "Ann. Discrete Math."}
@string{ADMlong = "Annals of Discrete Mathematics"}
@STRING{ams = "Annals of Mathematical Statistics"}
@STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."}
@STRING{ APNUMlong = "Applied Numerical Mathematics"}
@string{bell = "The Bell System Technical Journal"}
@string{ coap = "Comput. Optim. Appl."}
@string{ coa = "Comput. Optim. Appl."}
@string{ COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"}
@string{cacm = "Communications of the ACM"}
@STRING{ cor = "Comput. Oper. Res." }
@STRING{ CORlong = "Computer and Operations Research" }
@string{comp = "Computing"}
STRING{ CRAS = "Compt Rend Acad. Sci." }
@STRING{ CM = "Contemporary Mathematics" }
@STRING{ C = "Cybernetics" }
@STRING{cmj = "Czechoslovak Math. J."}
@STRING{dam = "Discrete Applied Mathematics"}
@STRING{dm = "Discrete Mathematics"}
@STRING{ ECPE = "Eng. Costs and Prod. Econ." }
@string{electjc = "Electronic J. Combinatorics"}
@string{ela = "Electronic J. Linear Algebra"}
@string{elalong = "The Electronic JOURNAL of Linear Algebra"}
@STRING{ejc = "European Journal of Combinatorics"}
@STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@STRING{ glasgow = "Glasgow Math. J."}
@STRING{ glasgowlong = "Glasgow Mathematical Journal"}
@string{jogo = "J. Global Optim."}
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@STRING{ JAMS = "J. Australian Math. Soc."}
@STRING{ JAMSlong = "J. of the Australian Mathematical Society"}
@string{ JCAM = {J. of Comput. Appl. Mathem.}}
@string{ JCAMlong = {J. of Computational and Applied Mathematics}}
@STRING{jacm = "J. Assoc. Comput. Mach."}
@STRING{JACMlong = "Journal of the Association of Computing Machinery"}
@string{jco = "J. Comb. Optim."}
@string{JCOlong = "Journal of Combinatorial Optimization"}
@STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
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@STRING{ JRAM = "J. f{\"u}r die reine und angewandte {M}athematik"}
@STRING{ JRC = "J. of Regional Science" }
@string{jota = "J. Optim. Theory Applic."}
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@STRING{jrssa = "Journal of the Royal Statistical Society: Series~A"}
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@STRING{mor = "Math. Oper. Res."}
@STRING{ MORlong = "Mathematics of Operations Research" }
@STRING{mathz = "Math. Z."}
@STRING{ nrlq = "Naval Res. Logist. Quart." }
@STRING{ NRLQlong = "Naval Research Logistics Quarterly" }
@STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{opte = "Optim. Eng." }
@string{OPTIMA = "Optima"}
@STRING{ OPTI = "Optimization" }
@string{ oms = "Optim. Methods Softw."}
@string{ OPSlong = "Optimization Methods and Software"}
@string{ornl = "Oak Ridge National Laboratory"}
@STRING{orl = "Operations Research Letters"}
@STRING{or = "Operations Research"}
@STRING{jorlong = "Journal of the Operations Research Society"}
@STRING{jor = "Oper. Res."}
@STRING{jors = "Oper. Res."}
@STRING{ ORQ = "Operations Research Quarterly" }
@STRING{pjm = "Pacific Journal of Mathematics"}
@string{pc = "Parallel Computing"}
@STRING{pams = "Proceedings of the American Mathematical Society"}
@STRING{rsue = "Regional Science and Urban Economics"}
@STRING{restud = "Review of Economics Studies"}
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@string{sijam = "SIAM J. Appl. Math."}
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@STRING{siad = "SIAM J. Algebraic Discrete Methods"}
@STRING{SIADlong = "SIAM Journal on Algebraic and Discrete Methods"}
@string{sdma = "SIAM J. Discrete Math."}
@string{SDMAlong = "SIAM Journal on Discrete Mathematics"}
@string{SIAGOPT = "SIAG/OPT Views-and-News"}
@STRING{ SRev = "SIAM Review" }
@STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." }
@STRING{ SJMA = "SIAM J. Math. Anal." }
@string{SJMAA = "SIAM J. Matrix Anal. Appl."}
@STRING{sijc = "SIAM J. on Computing"}
@STRING{SIJClong = "SIAM Journal on Computing"}
@string{sico = "SIAM J. Control Optim."}
@string{SICOlong = "SIAM J. on Control and Optimization"}
@string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and Applications"}
@string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."}
@STRING{SJNAlong = "SIAM J. on Numerical Analysis"}
@string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical Computing"}
@string{sir = "SIAM Review"}
### start strings from Goemans
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Theory Comput."}
@string{stoc97 = "Proc. of the 29th {ACM} Symp. on
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@string{stoc98 = "Proc. of the 30th {ACM} Symp. on
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@string{stoc99 = "Proc. of the 31st {ACM} Symp. on
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@string{focs97 = "Proc. 38th Symp. on
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@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on
Disc. Algs."}
### end strings from Goemans
@STRING{tr = "Transportation Research"}
@STRING{ts = "Transportation Science"}
@STRING{tams = "Transactions of the American Mathematical Society"}
@STRING{ TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."}
@STRING{UTILMATHlong = "Utilitas Mathematica"}
@preamble{
"\def\cprime{$'$} "
}
########################end of string definitions#########
#######################################
#######################################
####additions from Dima feb/2014
@article{BW80,
Author = {Borwein, J.M. and Wolkowicz, H.},
Coden = {JAMADS},
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Title = {Facial reduction for a cone-convex programming problem},
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Mathematical
Optimization Society},
VOLUME = {147},
YEAR = {2014},
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MRCLASS = {90C20 (90C22)},
MRNUMBER = {3258522},
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Doi = {10.1016/S0025-5610(96)00082-2},
Fjournal = {Mathematical Programming},
Issn = {0025-5610},
Journal = MP,
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Number = {2, Ser. B},
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@article{BW81,
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Doi = {10.1016/0022-247X(81)90138-4},
Fjournal = {Journal of Mathematical Analysis and Applications},
Issn = {0022-247X},
Journal = {J. Math. Anal. Appl.},
Mrclass = {90C48 (90C25)},
Mrnumber = {641348 (83d:90236)},
Mrreviewer = {S. Zlobec},
Number = {2},
Pages = {495--530},
Title = {Regularizing the abstract convex program},
Url = {http://dx.doi.org/10.1016/0022-247X(81)90138-4},
Volume = {83},
Year = {1981},
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@article{LSZ97,
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Date-Modified = {2014-02-01 12:26:46 -0500},
Journal = {Technical Report 9719/A, Erasmus University
Rotterdam, Econometric Institute, The Netherlands},
Title = {Duality results for conic convex programming},
Year = {1997}}
@article{MW13,
Author = {Waki, H. and Muramatsu, M.},
Coden = {JOTABN},
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Date-Modified = {2014-02-01 12:32:49 -0500},
Doi = {10.1007/s10957-012-0219-y},
Fjournal = {Journal of Optimization Theory and Applications},
Issn = {0022-3239},
Journal = {J. Optim. Theory Appl.},
Mrclass = {90C22},
Mrnumber = {3063940},
Number = {1},
Pages = {188--215},
Title = {Facial reduction algorithms for conic optimization
problems},
Url = {http://dx.doi.org/10.1007/s10957-012-0219-y},
Volume = {158},
Year = {2013},
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@techreport{P00,
Author = {G. Pataki},
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Date-Modified = {2014-02-01 12:35:32 -0500},
INSTITUTION = {Columbia University},
address = {New York},
Title = {A simple derivation of a facial reduction algorithm and
extended dual systems},
Year = {2000}}
#######################################
%AAAAAAAAAAAA
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abstract = "The important function of a sensor network is to collect and forward data to destination. It is very important to know about the location of collected data. This kind of information can be obtained using localization technique in wireless sensor networks (WSNs). Localization is a way to determine the location of sensor nodes. Localization of sensor nodes is an interesting research area, and many works have been done so far. It is highly desirable to design low-cost, scalable, and efficient localization mechanisms for WSNs. In this paper, we discuss sensor node architecture and its applications, different localization techniques, and few possible future research directions.
AB - The important function of a sensor network is to collect and
forward data to destination. It is very important to know about the
location of collected data. This kind of information can be obtained
using localization technique in wireless sensor networks (WSNs).
Localization is a way to determine the location of sensor nodes.
Localization of sensor nodes is an interesting research area, and many
works have been done so far. It is highly desirable to design low-cost,
scalable, and efficient localization mechanisms for WSNs. In this paper,
we discuss sensor node architecture and its applications, different
localization techniques, and few possible future research directions."
}
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VOLUME = {20},
YEAR = {2018},
NUMBER = {1},
PAGES = {1--56}
}
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title = {Catalyst for Gradient-based Nonconvex Optimization},
author = {C. Paquette and H. Lin and D. Drusvyatskiy and J.
Mairal and Z. Harchaoui},
booktitle = {Proceedings of the Twenty-First International Conference on Artificial Intelligence and Statistics},
pages = {613--622},
year = {2018},
editor = {Amos Storkey and Fernando Perez-Cruz},
volume = {84},
series = {Proceedings of Machine Learning Research},
address = {Playa Blanca, Lanzarote, Canary Islands},
month = {09--11 Apr},
publisher = {PMLR},
}
@misc{paquette2017catalyst,
title={Catalyst Acceleration for Gradient-Based Non-Convex Optimization},
author={C. Paquette and H. Lin and D. Drusvyatskiy and J. Mairal and
Z. Harchaoui},
year={2017},
eprint={1703.10993},
archivePrefix={arXiv},
primaryClass={stat.ML}
}
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ISBN = {0-521-44524-8},
MRCLASS = {65-02 (65F10)},
MRNUMBER = {95f:65005},
MRREVIEWER = {Joaqu{\'{\i}}m J. J{\'u}dice},
}
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YEAR = {2001},
NUMBER = {4},
PAGES = {265--286},
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CODEN = {NLAAEM},
MRCLASS = {},
MRNUMBER = {1 831 936},
}
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title = {Algorithms for Stable PCA},
booktitle = {Handbook of Robust Low Rank and Sparse Matrix
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publisher = {CRC Press, Taylor and Francis Group},
year = {2016},
author = {N.S. Aybat},
editor = {T. Bouwmans and N. S. Aybat and E. Zahzah},
}
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number = "8",
pages = "1411-1426",
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}
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author = "R. Battiti and M. Brunato",
title = "The {LION} way. {M}achine {L}earning {\em plus} {I}ntelligent
{O}ptimization",
publisher = "LIONlab, University of Trento, Italy",
year = "2017",
url = "http://intelligent-optimization.org/LIONbook/"
}
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AUTHOR = {M. BABOULIN and J. DONGARRA and S. GRATTON and J. LANGOU},
title = "Computing the Conditioning of the Components of a
Linear Least Squares Solution",
institution = "CERFACS and University of Tennessee",
address = "Tennessee",
number="arXiv:0710.0829v1",
year = "2007",
}
@article{BERGAMASCHI20111863,
title = {Low-rank update of preconditioners for the inexact {N}ewton
method with {SPD} {J}acobian},
journal = {Mathematical and Computer Modelling},
volume = {54},
number = {7},
pages = {1863-1873},
year = {2011},
note = {Mathematical models of addictive behaviour, medicine \& engineering},
issn = {0895-7177},
doi = {https://doi.org/10.1016/j.mcm.2010.11.064},
url = {https://www.sciencedirect.com/science/article/pii/S0895717710005558},
author = {L. Bergamaschi and R. Bru and A. Martínez},
keywords = {Quasi-Newton method, Krylov iterations, Updating preconditioners, Inexact Newton method},
abstract = {In this note preconditioners for the Conjugate Gradient method are studied to solve the Newton system with a symmetric positive definite Jacobian. In particular, we define a sequence of preconditioners built by means of BFGS rank-two updates. Reasonable conditions are derived which guarantee that the preconditioned matrices are not far from the identity in a matrix norm. Some notes on the implementation of the corresponding inexact Newton method are given and some numerical results on a number of model problems illustrate the efficiency of the proposed preconditioners.}
}
@Article{a13040100,
AUTHOR = {Bergamaschi, L.},
TITLE = {A Survey of Low-Rank Updates of Preconditioners for Sequences of Symmetric Linear Systems},
JOURNAL = {Algorithms},
VOLUME = {13},
YEAR = {2020},
NUMBER = {4},
ARTICLE-NUMBER = {100},
URL = {https://www.mdpi.com/1999-4893/13/4/100},
ISSN = {1999-4893},
ABSTRACT = {The aim of this survey is to review some recent developments in devising efficient preconditioners for sequences of symmetric positive definite (SPD) linear systems A k x k = b k , k = 1 , … arising in many scientific applications, such as discretization of transient Partial Differential Equations (PDEs), solution of eigenvalue problems, (Inexact) Newton methods applied to nonlinear systems, rational Krylov methods for computing a function of a matrix. In this paper, we will analyze a number of techniques of updating a given initial preconditioner by a low-rank matrix with the aim of improving the clustering of eigenvalues around 1, in order to speed-up the convergence of the Preconditioned Conjugate Gradient (PCG) method. We will also review some techniques to efficiently approximate the linearly independent vectors which constitute the low-rank corrections and whose choice is crucial for the effectiveness of the approach. Numerical results on real-life applications show that the performance of a given iterative solver can be very much enhanced by the use of low-rank updates.},
DOI = {10.3390/a13040100}
}
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primaryClass = "physics.soc-ph",
year = 2008,
month = oct,
volume = 10,
pages = {10008},
doi = {10.1088/1742-5468/2008/10/P10008},
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adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
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AUTHOR = {F.J.A. Artacho and J.M. Borwein and M.K. Tam},
TITLE = "Douglas-{R}achford Feasibility Methods for
Matrix Completion Problems",
TYPE = "Technical Report",
NUMBER = "math.OC/01.308.4234v1 at arxiv.org",
INSTITUTION = "CARMA, University of Newcastle",
ADDRESS = "Callaghan, Australia",
URL = "http://arxiv.org/abs/1308.4243",
YEAR = "2013",
}
@article {ArtachoBoTa:13,
AUTHOR = {F.J.A. Artacho and J.M. Borwein and M.K. Tam},
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VOLUME = {39},
YEAR = {2013},
PAGES = {313--330},
}
@article {MR3149115,
AUTHOR = {Borwein, J.M. and Tam, M.K.},
TITLE = {A {C}yclic {D}ouglas--{R}achford {I}teration {S}cheme},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {160},
YEAR = {2014},
NUMBER = {1},
PAGES = {1--29},
ISSN = {0022-3239},
MRCLASS = {47-XX (90C25 90C48)},
MRNUMBER = {3149115},
DOI = {10.1007/s10957-013-0381-x},
URL = {http://dx.doi.org/10.1007/s10957-013-0381-x},
}
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CODEN = {AMNOAN},
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MRNUMBER = {MR2140093},
}
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outlook},
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PAGES = {51--66},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2001},
note = {URL: users.cs.dal.ca/\~{ }jborwein/math-future.pdf},
url = {http://users.cs.dal.ca/~jborwein/math-future.pdf},
MRCLASS = {00A99},
MRNUMBER = {MR1852153},
}
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PAGES = {181--203},
PUBLISHER = {Theta, Bucharest},
YEAR = {2007},
MRCLASS = {47A68 (15A48 47B35 90C22)},
MRNUMBER = {2389624},
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}
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YEAR = {2005},
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MRREVIEWER = {Mihail Voicu},
DOI = {10.1016/j.laa.2004.10.005},
URL = {https://doi.org/10.1016/j.laa.2004.10.005},
}
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}
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AUTHOR = {Bakonyi, M. and Woerdeman, H.J.},
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YEAR = {2011},
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ISBN = {978-0-691-12889-4},
MRCLASS = {47A05 (15A83 47A20 47A57)},
MRNUMBER = {2807419},
MRREVIEWER = {Andr{\'e} C. M. Ran},
DOI = {10.1515/9781400840595},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1515/9781400840595},
}
@TECHREPORT {BaWo:91,
author = "M. BAKONYI and H.J. WOERDEMAN",
title = "Maximum entropy elements in the intersection
of an affine space and the cone of positive definite
matrices",
institution = "Department of Mathematics, College of
William and Mary",
year = "1991",
address = "Williamsburg, Virginia"
}
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institution = "Department of Computer Science, Penn State",
year = "1991",
number = "CS-91-09",
address = "Univ. Park, PA 16802",
note = "To appear in SIMAX"}
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volume = "36",
year = "1986",
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}
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author = "E. R. BARNES",
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of Symposium on Mathematical Developments Arising From Linear
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publisher= "AMS",
volume = "114",
year = "1991",
pages = "131-139"
}
\@INCOLLECTION {BaHo:84,
author = "E.R. BARNES and A.J. Hoffman",
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JOURNAL = {SIAM J. Algebraic Discrete Methods},
FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Algebraic and Discrete Methods},
VOLUME = {8},
YEAR = {1987},
NUMBER = {4},
PAGES = {544--563},
ISSN = {0196-5212},
CODEN = {STAMDU},
}
@TECHREPORT {ColCon:82,
author = "T.F. COLEMAN and A.R. Conn",
title = "On the local convergence of a quasi-{N}ewton method
for the nonlinear programming problem",
institution = "Department of Computer Science, Cornell University",
year = "1982",
number = "TR 82-509",
address = "Ithaca, NY"}
@MISC {ColFen:85,
author = "T.F. COLEMAN and T. FENYES",
title = "Partitioned updates for {SQP}",
note = "Presentation at Joint National Meeting of ORSA/TIMS,
Atlanta, Georgia, 1985"}
@ARTICLE {Co:90,
author = "T.F. COLEMAN and C. HEMPEL",
title = "Computing a trust region step for a penalty
function",
journal = "SIAM J. Sci. STAT. Comput.",
year = "1990",
volume = "11",
pages = "180-201"}
@TECHREPORT {ColLi:87a,
author = "T.F. COLEMAN and G. LI",
title = "Solving systems of nonlinear equations on a
message-passing multiprocessor",
institution = "Faculty of Mathematics, University of Waterloo",
year = "1987",
number = "CORR 87-89"}
@TECHREPORT {ColLi:87b,
author = "T.F. COLEMAN and G. LI",
title = "A new method for solving triangular systems on a
distributed memory message-passing multiprocessor",
institution = "Department of Computer Science, Cornell University",
year = "1987",
number = "CS-87-812",
address = "Ithaca, NY"}
@ARTICLE {ColLi:88,
author = "T.F. COLEMAN and G. LI",
title = "A parallel triangular solver for a distributed memory
multiprocessor",
journal = "SIAM J. Sci. Statist. Comput.",
year = "1988",
volume = "9",
number = "3",
pages = "485-502"}
@article {MR1416528,
AUTHOR = {Coleman, Thomas F. and Li, Yuying},
TITLE = {A reflective {N}ewton method for minimizing a quadratic
function subject to bounds on some of the variables},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {4},
PAGES = {1040--1058},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {1416528 (97h:90060)},
MRREVIEWER = {J. Mockus},
DOI = {10.1137/S1052623494240456},
URL = {http://dx.doi.org/10.1137/S1052623494240456},
}
@article {MR1387333,
AUTHOR = {Coleman, Thomas F. and Li, Yuying},
TITLE = {An interior trust region approach for nonlinear
minimization
subject to bounds},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {418--445},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {1387333 (97d:90084)},
MRREVIEWER = {Shinji Mizuno},
DOI = {10.1137/0806023},
URL = {http://dx.doi.org/10.1137/0806023},
}
@article {MR1305566,
AUTHOR = {Coleman, Thomas F. and Li, Yuying},
TITLE = {On the convergence of interior-reflective {N}ewton methods
for
nonlinear minimization subject to bounds},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {67},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {189--224},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {1305566 (95j:90070)},
MRREVIEWER = {A. M. Galperin},
DOI = {10.1007/BF01582221},
URL = {http://dx.doi.org/10.1007/BF01582221},
}
@TECHREPORT {ColLi:97,
author = "T.F. COLEMAN and G. LI",
title = "A Trust Region and Affine Scaling Interior Point
Method
for Nonconvex Minimization with Linear Inequality Constraints",
institution = "Department of Computer Science, Cornell University",
year = "1997",
number = "TR97-1641",
address = "Ithaca, NY"}
@techreport{cl,
AUTHOR = "T.F.\ COLEMAN and Y.Y.\ LI",
TITLE = "A primal dual trust region algorithm for nonconvex programming
using a $L_1$ penalty function",
TYPE = "Report",
INSTITUTION = "Dept.\ of Computer Science, Cornell University",
YEAR = "1998",
}
@TECHREPORT {ColMor:82,
author = "T.F. COLEMAN and J.J. Mor\'{e}",
title = "Software for estimating sparse {J}acobian matrices",
institution = "Department of Computer Science, Cornell University",
year = "1982",
number = "TR 82-502",
address = "Ithaca, NY"}
@ARTICLE {ColMor:83,
author = "T.F. COLEMAN and J.J. Mor\'{e}",
title = "Estimation of sparse {J}acobian matrices and graph
coloring problems",
journal = "SIAM J. Numer. Anal.",
year = "1983",
volume = "20",
pages = "187-209"}
@ARTICLE {CRS:90,
author = "M. CONFORTI, M.R. RAO and A. SASSANO",
title = "The Equipartition polytope I and II",
journal = mprog,
year = "1990",
volume = "49",
pages = "49-90"}
@book {Cornu-Tutu,
AUTHOR = {G.~CORNU\'{E}JOLS and R.~T{\"U}T{\"U}NC{\"U}},
TITLE = {Optimization methods in finance},
SERIES = {Mathematics, Finance and Risk},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2007},
PAGES = {xii+345},
ISBN = {978-0-521-86170-0},
MRCLASS = {91-01 (90C90 91B28)},
MRNUMBER = {MR2294029 (2007j:91001)},
}
@article {MR1769494,
AUTHOR = {Andersen, K.D. and CHRISTIANSEN, E. and
Conn, A.R.
and Overton, M.L.},
TITLE = {An efficient primal-dual interior-point method
for minimizing
a sum of {E}uclidean norms},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {22},
YEAR = {2000},
NUMBER = {1},
PAGES = {243--262 (electronic)},
ISSN = {1064-8275},
MRCLASS = {90C25 (65K10)},
MRNUMBER = {MR1769494 (2001c:90053)},
MRREVIEWER = {Shu Zhong Zhang},
}
@inproceedings{Conn:84,
author = "A.R. Conn",
year = "1984",
title = "Nonlinear programming, exact penalty functions and
projection techniques for non-smooth functions",
booktitle ="Numerical Optimization 1984",
editor="P.T. BOGGS AND R. Byrd AND R.B. Schnabel",
publisher = " SIAM",
pages = "3-25"}
@Book{Cox96,
author = "David A. Cox and John B. Little and Don O'Shea",
title = "Ideals, Varieties, and Algorithms",
publisher = "Springer-Verlag",
year = "1996",
edition = "2nd",
OPTvolume = "",
OPTseries = "",
address = "NY",
note = "536 pages.",
annote = "An introduction to computational algebraic geometry
and commutative algebra"
}
@article {GoRoTho10,
AUTHOR = {Gould, N.I.M. and Robinson, Daniel P. and Thorne,
H.
Sue},
TITLE = {On solving trust-region and other regularised subproblems
in
optimization},
JOURNAL = {Math. Program. Comput.},
FJOURNAL = {Mathematical Programming Computation},
VOLUME = {2},
YEAR = {2010},
NUMBER = {1},
PAGES = {21--57},
ISSN = {1867-2949},
MRCLASS = {90C30 (65K10 90C26)},
MRNUMBER = {2601719 (2011c:90097)},
MRREVIEWER = {Warren L. Hare},
DOI = {10.1007/s12532-010-0011-7},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s12532-010-0011-7},
}
@techreport {GouldToint:10,
author = "N.I.M. Gould and Ph.L. Toint",
title = "A quadratic programming bibliography",
INSTITUTION = "Rutherford Appleton Laboratory",
ADDRESS = "England",
year = "2001",
note = "www.optimization-online.org/DB\_HTML/2001/02/285.html"
}
@article {ConGouToi:91,
author = "A.R. Conn and N.I.M. Gould and Ph.L. Toint",
title = "Convergence of quasi-{N}ewton matrices generated by
the symmetric rank one update",
journal = "Math. Prog.",
year = "1991",
volume = "50",
pages = "177-195"}
@BOOK {ConGouToi:91b,
author = "A.R. Conn and N.I.M. Gould and Ph.L. Toint",
title ="LANCELOT: a Fortran package for
large-scale nonlinear optimization (Release A), Springer
Series in Computational Mathematics",
publisher = "Springer Verlag",
year = "1992",
address = "Heidelberg, Berlin, New York"}
@incollection{ConnGoulToin92a,
author = {A. R. Conn and N.I.M. Gould and {Ph}.L. Toint},
title = {Large-Scale Nonlinear Constrained Optimization},
booktitle = {Proceedings of the Second International
Conference on
Industrial and Applied Mathematics},
editor = {R.E. O'Malley, Jr.},
publisher = {SIAM},
address = {Phildelphia},
pages = {51-70},
note = {(Also in M.S. Moonen, G.H. Golub and B.L.R
DeMoor,
editors, {\em Linear Algebra for Large-Scale and
Real-Time Applications}, volume 232 of
{\em NATO ASI Series E: Applied Sciences.}
Kluwer Academic Publishers, 1993)},
year = 1992 }
Coralia Cartis, Gould Nicholas I. M.. Finding a point in the relative interior of a polyhedron, with
applications to compressed sensing. R�mi Gribonval.
SPARS�09 - Signal Processing with Adaptive
Sparse Structured Representations,
Apr 2009, Saint Malo, France. 2009.
@article {MR3465452,
AUTHOR = {Cartis, C. and Yan, Y.},
TITLE = {Active-set prediction for interior point methods using
controlled perturbations},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {63},
YEAR = {2016},
NUMBER = {3},
PAGES = {639--684},
ISSN = {0926-6003},
MRCLASS = {90C51 (90C05)},
MRNUMBER = {3465452},
MRREVIEWER = {Javier F. Pe\~{n}a},
DOI = {10.1007/s10589-015-9791-z},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-015-9791-z},
}
@inproceedings {CartisGould:09,
AUTHOR = {C. Cartis and N.I.M. Gould},
TITLE = {Finding a point in the relative interior of a polyhedron,
with applications to compressed sensing},
BOOKTITLE = {SPARS'09 - Signal Processing with Adaptive
Sparse Structured Representations},
EDITOR = {Remi Gribonval},
PUBLISHER = {HAL Id: inria-00369400},
ADDRESS = {Saint Malo, France},
YEAR = {2009},
}
@article {MR2776701,
AUTHOR = {Cartis, C. and Gould, N.I.M. and Toint, P.L.},
TITLE = {Adaptive cubic regularisation methods for unconstrained
optimization. {P}art {I}: motivation, convergence and
numerical results},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {127},
YEAR = {2011},
NUMBER = {2, Ser. A},
PAGES = {245--295},
ISSN = {0025-5610},
MRCLASS = {90C30 (49M15 49M37 65K10)},
MRNUMBER = {2776701},
MRREVIEWER = {C. Ilioi},
DOI = {10.1007/s10107-009-0286-5},
URL = {http://dx.doi.org/10.1007/s10107-009-0286-5},
}
@article {MR2608356,
AUTHOR = {Bellavia, S. and Cartis, C. and Gould, N.I.M. and
Morini, B.
and Toint, Ph.L.},
TITLE = {Convergence of a regularized {E}uclidean residual
algorithm
for nonlinear least-squares},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {48},
YEAR = {2010},
NUMBER = {1},
PAGES = {1--29},
ISSN = {0036-1429},
MRCLASS = {65K10 (90C26)},
MRNUMBER = {2608356 (2011e:65095)},
DOI = {10.1137/080732432},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/080732432},
}
@article {MR2112974,
AUTHOR = {Gould, N.I.M. and Leyffer, Sven and Toint,
Ph.L.},
TITLE = {A multidimensional filter algorithm for nonlinear
equations
and nonlinear least-squares},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {15},
YEAR = {2004},
NUMBER = {1},
PAGES = {17--38 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C30 (65H10 90C06)},
MRNUMBER = {2112974 (2005m:90117)},
MRREVIEWER = {Paul H. Calamai},
DOI = {10.1137/S1052623403422637},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/S1052623403422637},
}
@techreport{cgt,
AUTHOR = "Conn, A.R. and Gould, N.I.M. and Toint, Ph.L. ",
TITLE = "A primal-dual algorithm for minimizing a nonconvex function
subject to bounds and nonlinear constraints",
TYPE = "Report",
NUMBER = "RC 20639",
INSTITUTION = "IBM T.J.\ Watson Center",
ADDRESS = "Yorktown Heights, NY",
YEAR = "1996",
}
@BOOK {ConGouToi:00,
author = "A.R. Conn and N.I.M. Gould and Ph.L. Toint",
TITLE = {Trust-{R}egion {M}ethods},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2000},
PAGES = {xx+959},
ISBN = {0-89871-460-5},
MRCLASS = {90-02 (65-02 65K05 90C30)},
MRNUMBER = {1 774 899},
}
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@book {MR3396730,
AUTHOR = {Cottle, R.W. and Pang, J-S. and Stone, R.E.},
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SERIES = {Classics in Applied Mathematics},
VOLUME = {60},
NOTE = {Corrected reprint of the 1992 original [ MR1150683]},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, PA},
YEAR = {2009},
PAGES = {xxvii+761},
ISBN = {978-0-898716-86-3},
MRCLASS = {90-02 (01A75 65K05 90C33)},
MRNUMBER = {3396730},
DOI = {10.1137/1.9780898719000.ch1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/1.9780898719000.ch1},
}
@book {MR1150683,
AUTHOR = {Cottle, R.W. and Pang, J-S. and Stone, R.E.},
TITLE = {The linear complementarity problem},
SERIES = {Computer Science and Scientific Computing},
PUBLISHER = {Academic Press, Inc., Boston, MA},
YEAR = {1992},
PAGES = {xxiv+762},
ISBN = {0-12-192350-9},
MRCLASS = {90-02 (65K05 90C33)},
MRNUMBER = {1150683},
MRREVIEWER = {Michael M. Kostreva},
}
@BOOK {Cotpangston:92,
author = "R. W. COTTLE and J. Pang and R.E. STONE",
title = "The linear complementarity problem",
publisher = "Academic Press, Inc.",
year = "1992",
address = "Boston, MA"}
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@ARTICLE {CrIyLeMi:71,
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programming, part {I}",
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year = "1971",
volume = "8",
pages = "115-130"}
@ARTICLE {CrLeMi:71,
author = "E.E. CRAGG and A.V. LEVY and A. MIELE",
title = "Use of the augmented penalty function in mathematical
programming, part {II}",
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year = "1971",
volume = "8",
pages = "131-153"}
@INCOLLECTION {CrMiMo:72,
author = "E.E. CRAGG and A. MIELE and P.E. MOSELEY",
title = "A modification of the method of multipliers for
mathematical programming problems",
booktitle = "Techniques of Optimization",
publisher = "Academic Press",
year = "1972",
editor = "A.V. Balakrishnan",
address = "New York, NY"}
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problems",
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year = "1993 ",
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pages = "53-60"}
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author = "F. CRITCHLEY",
title = "On the minimization of a positive definite
quadratic form under an arbitrary quadratic constraint",
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year = "1990",
address = "England"}
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YEAR = {1958},
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MRCLASS = {90.00},
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MRREVIEWER = {M. M. Flood},
}
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author = "J. Cullum and W.E. Donath and P. Wolfe",
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year = "1975 ",
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pages = "35-55"}
@book{cook2012pursuit,
title={In Pursuit of the Traveling Salesman: Mathematics at the Limits
of Computation},
author={Cook, W.},
isbn={9780691152707},
lccn={2011030626},
url={https://books.google.ca/books?id=S3bxbr\_-qhYC},
year={2012},
publisher={Princeton University Press}
}
@book {MR1490579,
AUTHOR = {Cook, W.J. and Cunningham, W.H. and Pulleyblank,
W.R. and Schrijver, A.},
TITLE = {Combinatorial optimization},
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NOTE = {A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1998},
PAGES = {x+355},
ISBN = {0-471-55894-X},
MRCLASS = {90C27 (90-02 90C35)},
MRNUMBER = {1490579 (99b:90098)},
MRREVIEWER = {Ulrich Faigle},
}
@ARTICLE {CuPoRe:74,
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pages = "117-120"}
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%DDDDDDDDDDDDD
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VOLUME = {42},
YEAR = {2017},
NUMBER = {3},
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MRCLASS = {90C48 (65K05 90C25)},
MRNUMBER = {3685266},
MRREVIEWER = {Liusheng Hou},
DOI = {10.1287/moor.2016.0827},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.2016.0827},
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author = "J.W. DANIEL",
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}
@BOOK {Dans:67,
author = "J.M. Danskin",
TITLE = {The theory of max-min and its application to weapons
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SERIES = {Econometrics and Operations Research, Vol. V},
PUBLISHER = {Springer-Verlag New York, Inc., New York},
YEAR = {1967},
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MRREVIEWER = {K. O. Kortanek},
}
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AUTHOR = {Dantzig, G.B.},
TITLE = {Impact of linear programming on computer development},
BOOKTITLE = {Computers in mathematics ({S}tanford, {CA}, 1986)},
SERIES = {Lecture Notes in Pure and Appl. Math.},
VOLUME = {125},
PAGES = {233--240},
PUBLISHER = {Dekker, New York},
YEAR = {1990},
MRCLASS = {01A60 (68-03)},
MRNUMBER = {1068537},
}
@INCOLLECTION {Dant:90,
author = "G.B. Dantzig",
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title = "Linear programming",
publisher = "CWI North-Holland",
year = "1991",
address = "Amsterdam"}
@incollection {MR1203105,
AUTHOR = {Dantzig, G.B.},
TITLE = {Origins of the simplex method},
BOOKTITLE = {A history of scientific computing ({P}rinceton, {NJ},
1987)},
SERIES = {ACM Press Hist. Ser.},
PAGES = {141--151},
PUBLISHER = {ACM},
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YEAR = {1990},
MRCLASS = {01A60 (65-03 90-03)},
MRNUMBER = {1203105},
}
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year = "1982",
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TITLE = {On mutual impact of numerical linear algebra and
large-scale
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JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {45},
YEAR = {2010},
NUMBER = {2},
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MRNUMBER = {2594606 (2011c:90094)},
MRREVIEWER = {Marcos Raydan},
DOI = {10.1007/s10589-008-9226-1},
URL = {http://dx.doi.org/10.1007/s10589-008-9226-1},
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@book {MR98m:65001,
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YEAR = {1997},
PAGES = {xii+419},
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@techreport{deka:84,
author = "J.W. DEMMEL and B. KAGSTR{\"O}M",
year = "1984",
title = "Stable Eigendecompositions of Matrix Pencils",
institution = "Institute of Information Processing, University
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type = "Report",
number = "UMINF-118.84",
kwds = "nla, geig, matrix pencil"
}
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AUTHOR = {DEMPE, S.},
TITLE = {On generalized differentiability of optimal solutions in
nonlinear parametric optimization},
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ADDRESS = {New York},
YEAR = {1998},
MRCLASS = {90C31 (49J52)},
MRNUMBER = {99b:90129},
MRREVR = {D. Klatte},
}
@incollection {MR98e:90180,
AUTHOR = {DEMPE, S.},
TITLE = {On generalized differentiability of optimal solutions
and its
application to an algorithm for solving bilevel
optimization
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BOOKTITLE = {Recent advances in nonsmooth optimization},
PAGES = {36--56},
PUBLISHER = {World Sci. Publishing},
ADDRESS = {River Edge, NJ},
YEAR = {1995},
MRCLASS = {90C31 (90D65)},
MRNUMBER = {98e:90180},
MRREVR = {Stefan Scholtes},
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AUTHOR = {DEMPE, S.},
TITLE = {Directional differentiability of optimal solutions under
{S}later's condition},
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YEAR = {1993},
NUMBER = {1, Ser. A},
PAGES = {49--69},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C31 (49J52)},
MRNUMBER = {94d:90062},
MRREVR = {Alexander Shapiro},
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author = "A.P. DEMPSTER",
title = "Covariance selections",
journal = "Biometrics",
year = "1972",
volume = "28",
pages = "157-175"}
@INPROCEEDINGS {Dennel:77,
author = "J. DENNEL",
title = "On the continuity of point-to-set map with applications
to optimization",
booktitle = "Proceedings of the 2nd Symposium on Operations Research, Aachen",
year = "1977"}
@INCOLLECTION {Denn:71,
author = "J.E. {Dennis Jr.}",
title = "Toward a unified convergence theory for {N}ewton-like
methods",
booktitle = "Nonlinear Functional Analysis and Applications",
publisher = "Academic Press",
year = "1971",
editor = "L.B. Rall",
address = "New York, NY"}
@INCOLLECTION {Denn:73,
author = "J.E. {Dennis Jr.}",
title = "Some computational techniques for the nonlinear
least squares problem",
booktitle = "Numerical Solutions of Systems of Nonlinear Equations",
publisher = "Academic Press",
year = "1973",
editor = "G.D. Byrne and C.A. Hall",
pages = "157-183",
address = "New York, NY"}
@INCOLLECTION {Denn:77,
author = "J.E. {Dennis Jr.}",
title = "Nonlinear least squares and equations",
booktitle = "The State of the Art in Numerical Analysis",
publisher = "Academic Press",
year = "1977",
editor = "D. Jacobs",
pages = "269-312",
address = "London"}
@INCOLLECTION {Denn:78,
author = "J.E. {Dennis Jr.}",
title = "A brief introduction to quasi-{N}ewton methods",
booktitle = "Numerical Analysis",
publisher = "AMS",
year = "1978",
editor = "G.H. Golub and J. Oliger",
pages = "19-52",
address = "Providence, Rhode Island"}
@INPROCEEDINGS {Denn:84,
author = "J.E. {Dennis Jr.}",
title = "A user's guide to nonlinear optimization algorithms",
booktitle = "Proceedings of the IEEE, vol. 72 \#12",
year = "1984"}
@incollection {MR1203343,
AUTHOR = {Gay, D.M. and Kaufman, L.},
TITLE = {Tradeoffs in algorithms for separable nonlinear least squares},
BOOKTITLE = {Computational and applied mathematics, {I} ({D}ublin, 1991)},
PAGES = {179--183},
PUBLISHER = {North-Holland, Amsterdam},
YEAR = {1992},
MRCLASS = {65K05},
MRNUMBER = {1203343},
}
@ARTICLE {DennGaWe:81a,
author = "J.E. {Dennis Jr.} and D.M. Gay and R.E. WELSCH",
title = "An adaptive nonlinear least-squares algorithm",
journal = "TOMS",
year = "1981",
volume = "7",
pages = "348-368"}
@ARTICLE {DennGaWe:81b,
author = "J.E. {Dennis Jr.} and D.M. Gay and R.E. WELSCH",
title = "Algorithm 573 {NL2SOL} - {A}n adaptive nonlinear
least-squares algorithm [{E}4]",
journal = "TOMS",
year = "1981",
volume = "7",
pages = "369-383"}
@ARTICLE {DennMar:82,
author = "J.E. {Dennis Jr.} and E.S. MARWIL",
title = "Direct secant updates of matrix factorizations",
journal = "Math. Comp.",
year = "1982",
volume = "38",
pages = "459-474"}
@ARTICLE {DennMei:79,
author = "J.E. {Dennis Jr.} and H.H. MEI",
title = "Two new unconstrained optimization algorithms
which use function and gradient values",
journal = "J. Optim. Theory Appl.",
year = "1979",
volume = "28",
pages = "453-482"}
@ARTICLE {DennMo:74,
author = "J.E. {Dennis Jr.} and J.J. Mor\'{e}",
title = "A characterization of superlinear convergence
and its application to quasi-{N}ewton methods",
journal = "Math. Comp.",
year = "1974",
volume = "28",
pages = "549-560"}
@ARTICLE {DennMo:77,
author = "J.E. {Dennis Jr.} and J.J. Mor\'{e}",
title = "Quasi-{N}ewton methods, motivation and theory",
journal = "SIAM Review",
year = "1977",
volume = "19",
pages = "46-89"}
@techreport{DennStei:98,
author = "J.E. Dennis and T. Steihaug",
year = "1998",
title = "A {F}erris-{M}angasarian technique applied to linear least
squares problems",
institution = "Rice University",
type = "CRPC Report",
keywords = "least squares, parallel",
number = "MS41" }
@ARTICLE {DennSch:79,
author = "J.E. {Dennis Jr.} and R.B. Schnabel",
title = "Least change secant updates for quasi-{N}ewton methods",
journal = "SIAM Review",
year = "1979",
volume = "21",
pages = "443-459"}
@INCOLLECTION {DennSch:81,
author = "J.E. {Dennis Jr.} and R.B. Schnabel",
title = "A new derivation of symmetric and positive definite
secant updates",
booktitle = "Nonlinear Programming 4",
publisher = "Academic Press",
year = "1981",
editor = "O.L. Mangasarian and R.R. Meyer and S.M. Robinson",
pages = "167-199",
address = "New York, NY"}
@BOOK {DennSch:83,
AUTHOR = {{Dennis Jr.}, J.E. and Schnabel, R.B.},
TITLE = {Numerical methods for unconstrained optimization and
nonlinear
equations},
NOTE = {Corrected reprint of the 1983 original},
SERIES = {Classics in Applied Mathematics},
VOLUME = {16},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1996},
PAGES = {xvi+378},
ISBN = {0-89871-364-1},
}
@TECHREPORT {DennSch:87,
author = "J.E. {Dennis Jr.} and R.B. Schnabel",
title = "A view of unconstrained optimization",
institution = "Department of Computer Science, University of
Colorado",
year = "1987",
number = "CU-CS-376-87",
address = "Boulder, CO",
note = "To appear in Handbooks in Operations Research and
Management Science. Handbook 1: Optimization.
G.L. Nemhauser, A.H.G. Rinnooy Kan and M.J. Todd,
editors"}
@TECHREPORT {DennShVu:85,
author = "J.E. {Dennis Jr.} and S. SHENG and P.H. VU",
title = "A memoryless augmented {G}auss-{N}ewton method
for nonlinear least-squares problems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1985",
number = "TR85-1",
address = "Houston, TX"}
@ARTICLE {DennTap:76,
author = "J.E. {Dennis Jr.} and R.A. Tapia",
title = "Supplementary terminology for nonlinear iterative
methods",
journal = "SIGNUM Newsletter",
year = "1976",
volume = "11",
number = "4",
pages = "4-6"}
@ARTICLE {DennWal:81,
author = "J.E. {Dennis Jr.} and H.F. WALKER",
title = "Convergence theorems for least-change secant update
methods",
journal = "SIAM J. Numer. Anal.",
year = "1981",
volume = "18",
pages = "949-987"}
@TECHREPORT {DennWal:83,
author = "J.E. {Dennis Jr.} and H.F. WALKER",
title = "Inaccuracy in quasi-{N}ewton methods: local improvement
theorems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1983",
number = "TR83-11",
address = "Houston, TX"}
@ARTICLE {DennWal:85,
author = "J.E. {Dennis Jr.} and H.F. WALKER",
title = "Least-change sparse secant update methods with
inaccurate secant conditions",
journal = "SIAM J. Numer. Anal.",
year = "1985",
volume = "22",
pages = "760-778"}
@INCOLLECTION {DennWoo:87,
author = "J.E. {Dennis Jr.} and D.J. WOODS",
title = "Optimization and microcomputers: {T}he {N}elder-{M}ead
simplex algorithm",
booktitle = "New Computing Environments: Microcomputers in
Large-Scale Computing",
publisher = "SIAM",
year = "1987",
editor = "A. Wouk",
pages = "116-122",
address = "Philadelphia"}
@TECHREPORT {DennHeinkVic:95,
author = "J.E. {Dennis Jr.} and M. HEINKENSCHLOSS and L.N.
VICENTE",
title = "Trust-region interior-point SQP algorithms for a
class of nonlinear programming problems",
institution = "Department of Mathematical Sciences, Rice University",
year = "1995",
number = "CRPC-TR95512",
address = "Houston, TX"}
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author = "M.B. DENTON and M.W. ROUTH and P.A. SWARTZ",
title = "Performance of the super modified {S}implex",
journal = "Anal. Chem.",
year = "1977",
volume = "49",
number = "9",
pages = "1422-1428"}
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title = "{N}ewton Techniques for Highly Nonlinear Problems -
Theory and Algorithms",
publisher = "Academic Press,Inc.",
note = "(To be published)",
year = "1996"}
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SERIES = {Innov. Appl. Math.},
PAGES = {105--112},
PUBLISHER = {Vanderbilt Univ. Press},
ADDRESS = {Nashville, TN},
YEAR = {1998},
MRCLASS = {90C46 (41A65)},
MRNUMBER = {MR1742997 (2001c:90098)},
MRREVIEWER = {Wu Li},
}
@incollection {MR96e:46027,
AUTHOR = {DEUTSCH, F.},
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SERIES = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
VOLUME = {454},
PAGES = {107--130},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1995},
MRCLASS = {46C05 (47A05 65J05)},
MRNUMBER = {96e:46027},
}
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journal = "Operator Theory: Advances and Applications",
year = "1988",
volume = "29",
publisher = "Birkhauser Verlag Basel",
pages = "97-116"}
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JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
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VOLUME = {5},
YEAR = {1994},
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PAGES = {359--370},
ISSN = {0925-5001},
CODEN = {JGOPEO},
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volume = "174",
year = "1967",
pages = "747--748",
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MRCLASS = {90.58},
MRNUMBER = {39 #3819},
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year = "1979",
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pages = "618-628"}
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YEAR = "1990"}
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journal = "Math. Prog.",
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volume = "2",
pages = "383-387"}
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part {II}",
journal = "Math. Prog.",
year = "1972",
volume = "3",
pages = "345-358"}
@INCOLLECTION {Dix:72,
author = "L.C.W. Dixon",
title = "The choice of step length, a crucial factor in the
performance of variable metric algorithms",
booktitle = "Numerical Methods for Nonlinear Optimization",
publisher = "Academic Press",
year = "1972",
editor = "F. Lootsma",
pages = "149-170",
address = "New York, NY"}
@ARTICLE {Dix:91,
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relative performance of parallel truncated {N}ewton
and variable metric algorithms",
journal = siopt,
year = "1991",
volume = "1",
pages = "475-486"}
@TECHREPORT {DHM:84,
author = "L.C.W. Dixon and S.E. HERSOM and Z.A. MAANY",
title = "Initial experience obtained solving the low
thrust satellite trajectory optimisation problem",
institution = "The Hatfield Polytechnic Numerical
Optimization Centre",
year = "1984",
number = "T.R. 152"}
@BOOK {DixSz:75,
author = "L.C.W. Dixon and G.P. SZEGO",
title = "Towards Global Optimization, 1",
publisher = "North-Holland",
year = "1975",
address = "Amsterdam"}
@BOOK {DixSz:78,
author = "L.C.W. Dixon and G.P. SZEGO",
title = "Towards Global Optimization, 2",
publisher = "North-Holland",
year = "1978",
address = "Amsterdam"}
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author = "J.R. DONALDSON and R.B. Schnabel",
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author = "J.R. DONALDSON and R.B. Schnabel",
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pages = "67-82"}
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NUMBER ="3",
YEAR = "1972",
PAGES = "938--944",
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YEAR = {1973},
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ISSN = {0018-8646},
MRCLASS = {05C99},
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YEAR = {1995},
VOLUME = {90},
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Pages = {844-881},
Publisher = {SIAM},
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Url = {http://link.aip.org/link/?SML/30/844/1},
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Year = {2008}
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MRNUMBER = {3299130},
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@article {DrusvLewis:2017,
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MRCLASS = {90C09 (90B05)},
MRNUMBER = {MR878775 (88e:90057)},
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}
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TITLE = {State of the art in global optimization},
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@ARTICLE{2016arXiv160201886F,
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title = "{Variational Perspective on Local Graph Clustering}",
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primaryClass = "math.OC",
keywords = {Mathematics - Optimization and Control},
year = 2016,
month = feb,
adsurl = {http://adsabs.harvard.edu/abs/2016arXiv160201886F},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
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%GGGGGGGGGG
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computing. To this end procedural programs
for the evaluation of problem-specific functions are
transformed into programs that also compute the
required derivative values at the same numerical arguments in
floating point arithmetic.
Disregarding many important implementation issues, we examine
in this article complexity bounds and
other more mathematical aspects of the program transformation
task sketched above.",
ad_theotech = "General"
}
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%HHHHHHHH
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journal = {Discrete Mathematics},
volume = {344},
number = {8},
pages = {112451},
year = {2021},
issn = {0012-365X},
doi = {https://doi.org/10.1016/j.disc.2021.112451},
url = {https://www.sciencedirect.com/science/article/pii/S0012365X21001643},
author = {Ryan Hessert and Sudipta Mallik},
keywords = {Moore-Penrose inverse, Signless Laplacian, Incidence matrix, Tree, Unicyclic graph},
abstract = {The signless Laplacian Q and signless edge-Laplacian S of a given graph may or may not be invertible. The Moore-Penrose inverses of Q and S are studied. In particular, using the incidence matrix, we find combinatorial formulas of the Moore-Penrose inverses of Q and S for trees. Also, we present combinatorial formulas of the inverses of Q and S for odd unicyclic graphs.}
}
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volume={62},
number={18},
pages={4868-4881},
keywords={Abstracts;Convergence;Optimization;Projection algorithms;Signal processing algorithms;Sparse matrices;Vectors;Compressed sensing;iterative methods;linear systems;optimization;projection algorithms;sparse matrices},
doi={10.1109/TSP.2014.2339801},
ISSN={1053-587X},}
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month="Jan",
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}
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URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1002/nme.2076},
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URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/S0895479899356080},
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VOLUME = {37},
YEAR = {2016},
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MRCLASS = {15A45 (65F05 65F30)},
MRNUMBER = {3537883},
MRREVIEWER = {Antonio Cicone},
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@article {MR3529831,
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VOLUME = {72},
YEAR = {2016},
NUMBER = {4},
PAGES = {1021--1042},
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MRCLASS = {65F30 (15B57)},
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MRCLASS = {65F20 (62H20 65F25 65H10)},
MRNUMBER = {2580548},
MRREVIEWER = {C. Ilioi},
DOI = {10.1093/imanum/drn085},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1093/imanum/drn085},
}
@article {MR1918653,
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NUMBER = {3},
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MRNUMBER = {1918653},
DOI = {10.1093/imanum/22.3.329},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1093/imanum/22.3.329},
}
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MRNUMBER = {943997},
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DOI = {10.1016/0024-3795(88)90223-6},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(88)90223-6},
}
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author = "N.J. Higham",
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year = "1986",
volume = "46",
number = "174",
pages = "537-549"}
@book {MR2396439,
AUTHOR = {Higham, N.J.},
TITLE = {Functions of {M}atrices},
NOTE = {Theory and {C}omputation},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2008},
PAGES = {xx+425},
ISBN = {978-0-89871-646-7},
MRCLASS = {15-02 (93B40 93C05)},
MRNUMBER = {2396439 (2009b:15001)},
MRREVIEWER = {Daniel Kressner},
DOI = {10.1137/1.9780898717778},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/1.9780898717778},
}
@book {MR2135945,
AUTHOR = {Higham, Desmond J. and Higham, N.J.},
TITLE = {M{ATLAB} guide},
EDITION = {Second},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2005},
PAGES = {xxiv+382},
ISBN = {0-89871-578-4},
MRCLASS = {65-00 (00A20)},
MRNUMBER = {2135945},
DOI = {10.1137/1.9780898717891},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/1.9780898717891},
}
@book {MR1927606,
AUTHOR = {Higham, N.J.},
TITLE = {Accuracy and stability of numerical algorithms},
EDITION = {Second},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2002},
PAGES = {xxx+680},
ISBN = {0-89871-521-0},
MRCLASS = {65G50 (65-02)},
MRNUMBER = {1927606 (2003g:65064)},
DOI = {10.1137/1.9780898718027},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/1.9780898718027},
}
@book {MR1787308,
AUTHOR = {Higham, Desmond J. and Higham, N.J.},
TITLE = {M{ATLAB} guide},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2000},
PAGES = {xxii+283},
ISBN = {0-89871-469-9},
MRCLASS = {65-04 (00A20)},
MRNUMBER = {1787308 (2001e:65003)},
}
@book {MR1640787,
AUTHOR = {Higham, N.J.},
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EDITION = {Second},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
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YEAR = {1998},
PAGES = {xvi+302},
ISBN = {0-89871-420-6},
MRCLASS = {00A20},
MRNUMBER = {1640787 (99g:00017)},
DOI = {10.1137/1.9780898719550},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/1.9780898719550},
}
@book {MR1368629,
AUTHOR = {Higham, N.J.},
TITLE = {Accuracy and stability of numerical algorithms},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1996},
PAGES = {xxviii+688},
ISBN = {0-89871-355-2},
MRCLASS = {65G05 (65-02 65F05)},
MRNUMBER = {1368629 (97a:65047)},
MRREVIEWER = {S. Hitotumatu},
}
@book {MR1223778,
AUTHOR = {Higham, N.J.},
TITLE = {Handbook of writing for the mathematical sciences},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1993},
PAGES = {xii+241},
ISBN = {0-89871-314-5},
MRCLASS = {00A20},
MRNUMBER = {1223778 (94f:00005)},
}
@book{Higham:2008:FM,
author = "N.J. Higham",
title = "Functions of Matrices: {Theory} and Computation",
publisher = "Society for Industrial and Applied Mathematics",
address = "Philadelphia, PA, USA",
year = "2008",
pages = "xx+425",
isbn = "978-0-898716-46-7"
}
@ARTICLE {Hig:87,
author = "N.J. Higham",
title = "A survey of condition number estimation for
triangular matrices",
journal = "SIAM Rev.",
year = "1987",
volume = "29",
pages = "575-596"}
@ARTICLE {Hig:87b,
author = "N.J. Higham",
title = "Computing real square roots of a real matrix",
journal = laa,
year = "1987",
volume = "88/89",
pages = "405-430"}
@book {Higbook:93,
AUTHOR = {Higham, N.J.},
TITLE = {Handbook of writing for the mathematical sciences},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1993},
PAGES = {xii+241},
ISBN = {0-89871-314-5},
}
@techreport{Higham:1996:RDD,
author = "N.J. Higham",
title = "Recent Developments in Dense Numerical Linear Algebra",
institution = "Manchester Centre for Computational Mathematics",
address = "Manchester, England",
type = "Numerical Analysis Report",
number = "No. 288",
pages = "26",
month = apr,
year = "1996",
URL = "ftp://ftp.ma.man.ac.uk/pub/narep/narep288.ps.gz",
keywords = "Numerical linear algebra, linear system,
least squares problem, eigenvalue problem, LAPACK",
note = "To appear in {\em The State of the Art in Numerical Analysis},
I. S. Duff and G. A. Watson, editors,
Oxford University Press"
}
@article {MR2002i:65039,
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eigenproblem},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {23},
YEAR = {2001},
NUMBER = {2},
PAGES = {472--493 (electronic)},
ISSN = {1095-7162},
MRCLASS = {65F15},
MRNUMBER = {2002i:65039},
MRREVIEWER = {David Scott Watkins},
}
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YEAR = {1997},
NUMBER = {4},
PAGES = {495--509},
ISSN = {0272-4979},
CODEN = {IJNADN},
MRCLASS = {65F30},
MRNUMBER = {98e:65036},
}
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author = "N.J. Higham",
TITLE = {Iterative refinement enhances the stability of {$QR$}
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MRNUMBER = {92h:65043},
MRREVIEWER = {James Weldon Demmel},
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@online{results,
author = {{Danske Bank}},
title = {Financial results for 2015},
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organization = {Danske Bank},
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urldate = {2017-03-04}
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@Misc{Sarabi:22,
author = {Sarabi, E.},
title = {A Characterization of Continuous differentiability of Proximal
Mappings of Composite Functions},
howpublished = {\textsc{url:}~\url{https://www.math.uwaterloo.ca/~hwolkowi/F22MOMworkshop.d/FslidesSarabi.pdf}},
month = {10},
note = {24th Midwest Optimization Meeting, MOM24},
year = {2022}
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}
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@BOOK{ HiriartUrrutyLemarechal93b,
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address = "London and New York"}
@article{HUESO200977,
title = {Modified {N}ewton's method for systems of nonlinear equations with singular Jacobian},
journal = {Journal of Computational and Applied Mathematics},
volume = {224},
number = {1},
pages = {77-83},
year = {2009},
issn = {0377-0427},
doi = {https://doi.org/10.1016/j.cam.2008.04.013},
url = {https://www.sciencedirect.com/science/article/pii/S0377042708001787},
author = {J.L. Hueso and E. Martinez and J.R. Torregrosa},
keywords = {{N}ewton's method, Jacobian matrix, Order of convergence, Fixed point function},
abstract = {It is well known that {N}ewton's method for a nonlinear system
has quadratic convergence when the Jacobian is a nonsingular matrix in a
neighborhood of the solution. Here we present a modification of this
method for nonlinear systems whose Jacobian matrix is singular. We
prove, under certain conditions, that this modified {N}ewton's method has
quadratic convergence. Moreover, different numerical tests confirm the
theoretical results and allow us to compare this variant with the
classical {N}ewton's method.}
}
%IIIIIIIIIIIII
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volume = {},
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address = {New York, {NY}},
year = {1983}
}
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volume = "26",
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MRCLASS = {65F08 (15A12 65F10 65F20 65F25 65F35 68W20)},
MRNUMBER = {3286678},
MRREVIEWER = {Lars Eld\'en},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/120870748},
}
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DOI = {10.1016/0024-3795(78)90065-4},
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}
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YEAR = {1998},
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PAGES = {889--899},
ISSN = {0002-9890},
MRCLASS = {65F10},
MRNUMBER = {1656931},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.2307/2589281},
}
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quasi-{N}ewton updates",
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year = "1988",
volume = "25",
pages = "206-221"}
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year = "1975",
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%JJJJJJJJJJJJ
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author = "D.H. JACOBSON",
title = "Extensions of Linear-Quadratic Control,
Optimization and Matrix Theory",
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year = "1977",
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author = "S.L.S. JACOBY and J.S. KOWALIK and J.T. PIZZO",
title = "Iterative Methods for Nonlinear Optimization Problems",
publisher = "Prentice-Hall",
year = "1972",
address = "Englewood Cliffs, NJ"}
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author = {M. Jaggi},
title = {Revisiting {F}rank-{W}olfe: {P}rojection-free sparse
convex optimization},
booktitle = {Proceedings of the 30th International Conference on
Machine Learning (ICML-13)},
year = {2013},
pages={427--435}
}
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author = "J. JAHN",
title = "Mathematical Vector Optimization in Partially
Ordered Linear Spaces",
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author = "G. JAMESON",
title = "Ordered linear spaces",
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pages = "15 - 28",
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url = "http://www.sciencedirect.com/science/article/pii/S0377221796001725",
author = "B. Jansen and J.J. de Jong and C. Roos and T. Terlaky",
keywords = "Programming linear, Programming parametric, Practice, Sensitivity analysis, Lagrange multipliers"
}
@article {int:Jansen4,
AUTHOR = {JANSEN, B. and ROOS, C. and Terlaky, T.},
TITLE = {The theory of linear programming: skew symmetric self-dual
problems and the central path},
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FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
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YEAR = {1994},
NUMBER = {3},
PAGES = {225--233},
ISSN = {0233-1934},
}
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author = "F. JARRE and S. Wright",
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institution = "Mathematics and Computer Science Division,
Argonne National Labs",
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year = "1994",
keywords = "barrier methods; interior points",
address = "Argonne, Illinois"}
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author = "J. LINDEROTH and S. Wright",
title = "Computational Grids for Stochastic
Programming",
institution = "Computer Sciences Department, University of
Wisconsin-Madison",
number = "Optimization Technical Report
01-01",
year = "2001",
address = "Madison, Wisconsin"}
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author = "J. LINDEROTH and A. Shapiro and S. Wright",
title = "The Empirical Behavior of Sampling Methods for
Stochastic Programming",
institution = "Computer Sciences Department, University of
Wisconsin-Madison",
number = "Optimization Technical Report
02-01",
year = "2002",
address = "Madison, Wisconsin"}
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title = "Generalized conjugate gradient acceleration of
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year = "1980",
volume = "34",
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author = "K.C. JEA and D.M. Young",
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iterative methods, part {II}: {T}he nonsymmetrizable
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institution = "Center for Numerical Analysis, University of Texas
at Austin",
year = "1981",
number = "163",
address = "Austin, TX"}
@PHDTHESIS {Jea:82,
author = "K.C. JEA",
title = "Generalized conjugate gradient acceleration of
iterative methods",
school = "University of Texas at Austin",
year = "1982",
address = "Austin, TX",
note = "Also available as Center for Numerical Analysis
Report \#176"}
@TECHREPORT {JeKiYo:83,
author = "K.C. JEA and D.R. KINCAID and D.M. Young",
title = "Accelerating nonsymmetrizable iterative methods",
institution = "Center for Numerical Analysis, University of
Texas at Austin",
year = "1983",
number = "181",
address = "Austin, TX"}
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AUTHOR = {JENNINGS, A. and AJIZ, M.A.},
TITLE = {Incomplete methods for solving ${A}^T{A}x=b$},
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Scientific and Statistical Computing},
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YEAR = {1984},
NUMBER = {4},
PAGES = {978--987},
ISSN = {0196-5204},
CODEN = {SIJCD4},
MRCLASS = {65D10 (65F20)},
MRNUMBER = {86a:65016},
MRREVIEWER = {Youcef Saad},
}
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AUTHOR = {Jensen, J. L. W. V.},
TITLE = {Sur les fonctions convexes et les in\'{e}galit\'{e}s entre les valeurs
moyennes},
JOURNAL = {Acta Math.},
FJOURNAL = {Acta Mathematica},
VOLUME = {30},
YEAR = {1906},
NUMBER = {1},
PAGES = {175--193},
ISSN = {0001-5962},
MRCLASS = {DML},
MRNUMBER = {1555027},
DOI = {10.1007/BF02418571},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF02418571},
}
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AUTHOR = {Jensen, J. L. W. V.},
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JOURNAL = {Acta Math.},
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YEAR = {1899},
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ISSN = {0001-5962},
MRCLASS = {DML},
MRNUMBER = {1554908},
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}
@article{citeulike:3819014,
abstract = {Abstract\ \ The celebrated S-lemma
establishes a powerful equivalent condition for the nonnegativity of a
quadratic function over a single quadratic inequality. However, this
lemma fails without the technical condition, known as the Slater
condition. In this paper, we first show that the Slater condition is
indeed necessary for the S-lemma and then establishes a regularized form
of the S-lemma in the absence of the Slater condition. Consequently, we
present characterizations of global optimality and the Lagrangian
duality for quadratic optimization problems with a single quadratic
constraint. Our method of proof makes use of Brickman's theorem and
conjugate analysis, exploiting the hidden link between the convexity and
the S-lemma.},
author = {Jeyakumar, Vaithilingam and Huy, Nguyen and Li,
Guoyin},
citeulike-article-id = {3819014},
citeulike-linkout-0 =
{http://dx.doi.org/10.1007/s11081-008-9076-9},
citeulike-linkout-1 =
{http://www.springerlink.com/content/w04746n057302g0t},
doi = {10.1007/s11081-008-9076-9},
journal = {Optimization and Engineering},
posted-at = {2008-12-22 19:28:10},
title = {Necessary and sufficient conditions for S -lemma and
nonconvex quadratic optimization},
url = {http://dx.doi.org/10.1007/s11081-008-9076-9}
}
@article{jeyakumar:983,
author = {V. Jeyakumar and G. M. Lee and G. Y. Li},
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title = {Alternative Theorems for Quadratic Inequality Systems and
Global Quadratic Optimization},
publisher = {SIAM},
year = {2009},
journal = {SIAM Journal on Optimization},
volume = {20},
number = {2},
pages = {983-1001},
keywords = {alternative theorems; quadratic inequality systems;
quadratic optimization; global optimality conditions; trust-region
problems},
url = {http://link.aip.org/link/?SJE/20/983/1},
doi = {10.1137/080736090}
}
@ARTICLE{2017arXiv170708706J,
author = {{Jiang}, R. and {Li}, D.},
title = "{Novel reformulations and efficient algorithms for the generalized trust region subproblem}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1707.08706},
primaryClass = "math.OC",
keywords = {Mathematics - Optimization and Control},
year = 2017,
month = jul,
adsurl = {http://adsabs.harvard.edu/abs/2017arXiv170708706J},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
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TITLE = {On the global optimality of generalized trust region
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Operations Research},
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YEAR = {2010},
NUMBER = {8},
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ISSN = {0233-1934},
MRCLASS = {90C20 (90C46)},
MRNUMBER = {2738598 (2011j:90118)},
MRREVIEWER = {Magdalena Nockowska-Rosiak},
DOI = {10.1080/02331930902995236},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/02331930902995236},
}
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year = "1985",
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DOI = {10.1007/s10589-020-00238-3},
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}
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TITLE = {Operator theory, analytic functions, matrices, and
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PUBLISHER = {Published for the Conference Board of the Mathematical
Sciences, Washington, DC},
YEAR = {1987},
PAGES = {xvi+134},
ISBN = {0-8218-0718-8},
MRCLASS = {47-02 (46J15 46N05 47A15 47A68 47B50 93B25 93B28)},
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MRREVIEWER = {T. Ando},
}
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URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.2307/1989708},
}
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ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A15},
MRNUMBER = {91k:15014},
MRREVIEWER = {Shao Kuan Li},
}
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%KKKKKKKKKKKK
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}
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title = "The generalized singular value decomposition and the general
$(A - \lambda B)$ - problem",
institution = "Institute of Information Processing, University
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type = "Report",
number = "UMINF-118.84",
kwds = "nla, geig, matrix pencil"
}
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AUTHOR = {Davis, Chandler and Kahan, W. M. and Weinberger, H. F.},
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YEAR = {1982},
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CODEN = {SJNAAM},
MRCLASS = {47A20 (65J10)},
MRNUMBER = {656462 (84b:47010)},
MRREVIEWER = {Peter Lancaster},
DOI = {10.1137/0719029},
URL = {http://dx.doi.org/10.1137/0719029},
}
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YEAR = {1970},
PAGES = {1--46},
ISSN = {0036-1429},
MRCLASS = {47.48},
MRNUMBER = {0264450 (41 \#9044)},
MRREVIEWER = {C. A. Hall},
}
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VOLUME = {75},
YEAR = {1969},
PAGES = {863--868},
ISSN = {0002-9904},
MRCLASS = {47.48},
MRNUMBER = {0246155 (39 \#7460)},
MRREVIEWER = {A. McIntosh},
}
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title = {On nonnegative factorization of matrices},
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pages = {27-33},
year = {1987},
issn = {0024-3795},
doi = {https://doi.org/10.1016/0024-3795(87)90334-X},
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author = {M. Kaykobad},
abstract = {It is shown that a sufficient condition for a nonnegative real symmetric matrix to be completely positive is that the matrix is diagonally dominant.}
}
@article {MR0180852,
AUTHOR = {Davis, C.},
TITLE = {The rotation of eigenvectors by a perturbation. {II}},
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VOLUME = {11},
YEAR = {1965},
PAGES = {20--27},
ISSN = {0022-247x},
MRCLASS = {47.48},
MRNUMBER = {0180852 (31 \#5082)},
MRREVIEWER = {J. Rovnyak},
}
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NUMBER = {6},
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MRCLASS = {93B55 (93B10)},
MRNUMBER = {MR1286566 (95m:93037)},
MRREVIEWER = {K. B. Datta},
}
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CODEN = {LAAPAW},
MRCLASS = {65F30},
MRNUMBER = {MR945626 (89h:65056)},
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}
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DOI = {10.1016/0022-247X(79)90124-0},
URL = {https://doi.org/10.1016/0022-247X(79)90124-0},
}
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AUTHOR = {Kailath, T. and Chun, J.},
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inversion},
BOOKTITLE = {The {G}ohberg anniversary collection, {V}ol.\ {I}
({C}algary,
{AB}, 1988)},
SERIES = {Oper. Theory Adv. Appl.},
VOLUME = {40},
PAGES = {231--246},
PUBLISHER = {Birkh\"auser, Basel},
YEAR = {1989},
MRCLASS = {15A09 (15A30)},
MRNUMBER = {1038316},
MRREVIEWER = {L. Rodman},
}
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type = "research report, arXiv:1006.2814",
}
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}
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author = "A.S. Lewis",
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address = "Ontario, Canada",
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author="Lewis, A.S.
and Overton, M.L.",
title="Nonsmooth optimization via quasi-{N}ewton methods",
journal="Mathematical Programming",
year="2013",
month="Oct",
day="01",
volume="141",
number="1",
pages="135--163",
abstract="We investigate the behavior of quasi-{N}ewton algorithms applied
to minimize a nonsmooth function f, not necessarily convex. We introduce
an inexact line search that generates a sequence of nested intervals
containing a set of points of nonzero measure that satisfy the Armijo
and Wolfe conditions if f is absolutely continuous along the line.
Furthermore, the line search is guaranteed to terminate if f is
semi-algebraic. It seems quite difficult to establish a convergence
theorem for quasi-{N}ewton methods applied to such general classes of
functions, so we give a careful analysis of a special but illuminating
case, the Euclidean norm, in one variable using the inexact line search
and in two variables assuming that the line search is exact. In
practice, we find that when f is locally Lipschitz and semi-algebraic
with bounded sublevel sets, the BFGS
(Broyden--Fletcher--Goldfarb--Shanno) method with the inexact line
search almost always generates sequences whose cluster points are Clarke
stationary and with function values converging R-linearly to a Clarke
stationary value. We give references documenting the successful use of
BFGS in a variety of nonsmooth applications, particularly the design of
low-order controllers for linear dynamical systems. We conclude with a
challenging open question.",
issn="1436-4646",
doi="10.1007/s10107-012-0514-2",
url="https://doi.org/10.1007/s10107-012-0514-2"
}
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journal={Mathematical programming},
volume={115},
number={1},
pages={1--30},
year={2008},
publisher={Springer}
}
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AUTHOR = {Lewis, A.S. and Overton, M.L.},
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JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {141},
YEAR = {2013},
NUMBER = {1-2, Ser. A},
PAGES = {135--163},
ISSN = {0025-5610},
MRCLASS = {49J52 (90C30 90C53)},
MRNUMBER = {3097282},
MRREVIEWER = {Russell Luke},
DOI = {10.1007/s10107-012-0514-2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-012-0514-2},
}
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school= {Hong Kong Baptist University, Hong Kong},
year= {2014},
advisor = {Yuan, Xiaoming},
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JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
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Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {52},
YEAR = {2012},
NUMBER = {2},
PAGES = {229--242},
ISSN = {0925-5001},
MRCLASS = {90C46 (90C20 90C26)},
MRNUMBER = {2886307},
MRREVIEWER = {Riccardo Cambini},
DOI = {10.1007/s10898-011-9660-y},
URL =
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}
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}
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MRNUMBER = {MR2047426 (2005a:15009)},
}
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@ARTICLE{2018arXiv180512344L,
author = {{Lin}, T. and {Ma}, S. and {Ye}, Y. and {Zhang}, S.},
title = "{An ADMM-Based Interior-Point Method for Large-Scale Linear Programming}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1805.12344},
primaryClass = "math.OC",
keywords = {Mathematics - Optimization and Control},
year = 2018,
month = may,
adsurl = {http://adsabs.harvard.edu/abs/2018arXiv180512344L},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
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MRREVIEWER = {Lajos L{\'a}szl{\'o}},
DOI = {10.1016/0024-3795(88)90220-0},
URL =
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Date-Added = {2008-06-01 13:45:22 -0400},
Date-Modified = {2008-06-03 11:13:38 -0400},
Doi = {10.1137/S0895479896303430},
Fjournal = {SIAM Journal on Matrix Analysis and Applications},
Journal = {SIAM J. Matrix Anal. Appl.},
Keywords = {SDP; interior-point methods; linear matrix inequalities; determinant maximization},
Number = {2},
Pages = {499-533},
Publisher = {SIAM},
Title = {Determinant Maximization with Linear Matrix Inequality Constraints},
Url = {http://link.aip.org/link/?SML/19/499/1},
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Year = {1998},
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Bdsk-Url-1 = {http://link.aip.org/link/?SML/19/499/1}}
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DOI = {10.1016/S0024-3795(98)10032-0},
URL = {http://dx.doi.org/10.1016/S0024-3795(98)10032-0},
}
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title = "Convex and Robust Optimization with
Applications in Finance",
school = {Stanford University, USA},
}
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MRREVIEWER = {R. Piziak},
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address = {Paris},
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}
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%MMMMMMMMMMMM
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@book{MansiniRenata2015Lami,
series = {EURO Advanced Tutorials on Operational Research},
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title = {Linear and mixed integer programming for portfolio optimization},
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@book {MR4675665,
AUTHOR = {Mansour, R.},
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for {B}est {A}pproximation {P}roblems and their {C}onvergence
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author = {Ma, Y.},
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title = {Polynomial Optimization via Low-rank
Matrix Completion and Semidefinite
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%NNNNNNNNNNNNNNNNNNNNN
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[download]
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MRCLASS = {90Cxx},
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booktitle = "Optimization",
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booktitle = "Nonlinear Programming",
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editor = "J.B. Rosen and O.L. Mangasarian and K. Ritter",
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booktitle = "Nonlinear Programming 2",
publisher = "Academic Press",
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publisher = "Springer-Verlag",
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@TECHREPORT {Pow:77b,
author = "M.J.D. Powell",
title = "Constrained optimization by a variable metric method",
institution = "University of Cambridge",
year = "1977",
type = "DAMTP Report",
number = "1977/NA6",
address = "Cambridge, England"}
@INCOLLECTION {Pow:78,
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title = "The convergence of variable metric methods for
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booktitle = "Nonlinear Programming 3",
publisher = "Academic Press",
year = "1978",
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pages = "27-63",
address = "New York, NY"}
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booktitle = "Nonlinear Programming 4",
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year = "1981",
pages = "1-24",
address = "New York, NY"}
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@TECHREPORT {Pow:83,
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institution = "Department of Applied Mathematics and Theoretical
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year = "1983",
type = "DAMTP Report",
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address = "Cambridge, England"}
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institution = "Department of Applied Mathematics and Theoretical
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year = "1984",
type = "DAMTP Report",
number = "1984/NA6",
address = "Cambridge, England"}
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TYPE = "Report",
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%QQQQQQQQQQQQQQQ
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%RRRRRRRRRRRRRR
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%SSSSSSSSSSSSSSSSSSS
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school = "University of California at San Diego",
year = "1977"}
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author = "D.C. Sorensen",
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address = "Argonne, IL"}
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doi = {10.1137/070688961}
}
@ARTICLE{2016arXiv161205664S,
author = {{Stott}, N.},
title = "{Maximal lower bounds in the L$\backslash$``owner order}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1612.05664},
primaryClass = "math.RA",
keywords = {Mathematics - Rings and Algebras, Mathematics - Functional Analysis, Mathematics - Operator Algebras},
year = 2016,
month = dec,
adsurl = {http://adsabs.harvard.edu/abs/2016arXiv161205664S},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
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%TTTTTTTTTTTTTTTTTTTT
@article{TAM20101734,
title = {On the reduced signless {L}aplacian spectrum of a degree maximal graph},
journal = {Linear Algebra and its Applications},
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number = {7},
pages = {1734-1756},
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url = {https://www.sciencedirect.com/science/article/pii/S0024379509006119},
author = {B.S. Tam and S.H. Wu},
keywords = {Degree maximal graph, Reduced signless Laplacian, Signless Laplacian spectrum, Characteristic polynomial, Neighborhood equivalence class},
abstract = {For a (simple) graph G, the signless Laplacian of G is the matrix A(G)+D(G), where A(G) is the adjacency matrix and D(G) is the diagonal matrix of vertex degrees of G; the reduced signless Laplacian of G is the matrix Δ(G)+B(G), where B(G) is the reduced adjacency matrix of G and Δ(G) is the diagonal matrix whose diagonal entries are the common degrees for vertices belonging to the same neighborhood equivalence class of G. A graph is said to be (degree) maximal if it is connected and its degree sequence is not majorized by the degree sequence of any other connected graph. For a maximal graph, we obtain a formula for the characteristic polynomial of its reduced signless Laplacian and use the formula to derive a localization result for its reduced signless Laplacian eigenvalues, and to compare the signless Laplacian spectral radii of two well-known maximal graphs. We also obtain a necessary condition for a maximal graph to have maximal signless Laplacian spectral radius among all connected graphs with given numbers of vertices and edges.}
}
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of quasi-{N}ewton methods for constrained optimization",
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year = "1984",
number = "TR84-2",
address = "Houston, TX"}
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}
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author = "A. Deza and S. Moriyama and F. Xie",
title = "Hyperplane arrangements with large average diaemter: a
computational approach",
institution = "Department of Computer Science",
year = 2010,
number = "Advanced Studies in Pure Mathematics",
address = "to appear"
}
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%%%%%%%%%%%%%colourful papers - colourful simplex e.g. by Deza et al
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@incollection {MR1441787,
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MRREVIEWER = {Erika {\v{S}}krabul'{\'a}kov{\'a}},
}
@article {MR2765529,
AUTHOR = {Deza, A. and Stephen, T. and Xie, F.},
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Journal
of Mathematics and Computer Science},
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URL =
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}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%end colourful simplices
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%UUUUUUUUUUUUUU
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%VVVVVVVVV
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AUTHOR = {VERBITSKY, O.V.},
TITLE = {A note on the approximability of the dense subgraph
problem},
JOURNAL = {Mat. Stud.},
FJOURNAL = {Matematichn\=\i\ Stud\=\i \"\i. Prats\=\i\ L\cprime v\=\i
vs\cprime kogo Matematichnogo Tovaristva},
VOLUME = {22},
YEAR = {2004},
NUMBER = {2},
PAGES = {198--201},
ISSN = {1027-4634},
MRCLASS = {05C85 (68Q17 68R10)},
MRNUMBER = {MR2140670 (2005k:05229)},
}
@Article{Villarroel2013,
author="Villarroel, J.A. and Taylor, J.E. and Tucci, C.L.",
title="Innovation and learning performance implications of free revealing and knowledge brokering in competing communities: insights from the Netflix Prize challenge",
journal="Computational and Mathematical Organization Theory",
year="2013",
month="Mar",
day="01",
volume="19",
number="1",
pages="42--77",
abstract="Firms increasingly use open competitions to extend their innovation process and access new diverse knowledge. The Netflix Prize case we study in this paper is a multi-stage repeat-submission open competition involving the creation of new knowledge from across knowledge domains, a process which benefits from knowledge sharing across competing communities. The extant literature says little about the effects of different types and levels of knowledge sharing behavior on the learning and innovation outcomes of such a competitive system, or what the performance boundaries may be for the system as a result of such differences. Our research explores those boundaries unveiling important tradeoffs involving free revealing behavior---defined as voluntarily giving away codified knowledge and making it into a `public good'---and knowledge brokering behavior---defined as using knowledge from one domain to innovate in another---on the learning performance of competing communities. The results, analyzing the system-level average and volatility of learning outcomes, lead to three conclusions: (i) greater knowledge sharing, as portrayed by greater free revealing and knowledge brokering, helps achieve better average learning for the system as a whole, however, (ii) achieving the best overall outcome possible from the system actually requires controlling the amount of knowledge brokering activity in the system. The results further suggest that (iii) it should not be possible to simultaneously achieve both the best overall outcome from the system and the best average learning for the system. The tradeoffs that ensue from these findings have important implications for innovation policy and management. This research contributes to practice by showing how it is possible to achieve different learning performance outcomes by managing the types and levels of knowledge sharing in open competitive systems.",
issn="1572-9346",
doi="10.1007/s10588-012-9137-7",
url="https://doi.org/10.1007/s10588-012-9137-7"
}
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{$\frac{n}{2}$}-{DENSE}-{SUBGRAPH}},
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AUTHOR = {SCHAIBLE, S.},
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PAGES = {x+332},
ISBN = {0-306-42656-0},
MRCLASS = {90C25 (26B25 90A10 90A11 90C32)},
MRNUMBER = {89e:90155},
MRREVR = {Jean-Pierre Crouzeix},
}
# The following strings from V. Balakrishnan on SDP and systems control
## were moved to top of file
@book{ Lya:47,
author={A.M. LYAPUNOV},
title={Probl\`eme g\'en\'eral de la stabilit\'e du mouvement},
publisher={Princeton University Press},
year={1947},
volume={17},
series={Annals of Mathematics Studies},
address= {Princeton}
}
@book{ Lur:57,
author={A.I. LUR'E},
title={Some Nonlinear Problems in the Theory of Automatic
Control},
publisher={H. M. Stationery Off.},
year={1957},
note={In Russian, 1951.},
address= {London}
}
@article{ Wil:71a,
author="J. C. WILLEMS",
title="Least Squares Stationary Optimal Control and the Algebraic
{R}iccati Equation",
journal=tac,
year=1971,
pages= "621-634",
volume="AC-16",
number=6,
month=dec
}
@article{ PyS:82,
author= {E. S. PYATNITSKII and V. I. SKORODINSKII},
title= {Numerical Methods of {L}yapunov Function Construction and Their
Application to the Absolute Stability Problem},
journal= scl,
year= {1982},
volume= {2},
number= {2},
pages= {130-135},
month= aug
}
@article{ HoB:76,
author= {H. P. HORISBERGER and P. R. B\'ELANGER},
title= {Regulators for Linear, Time Invariant Plants with Uncertain Parameters},
journal= tac,
year= {1976},
volume= {AC-21},
pages= {705-708}
}
@BOOK{Vid:93,
author = {M. VIDYASAGAR},
year = 1993,
title = {Nonlinear Systems Analysis},
edition = {second},
publisher = {Prentice-Hall},
address = {Englewood Cliffs}
}
@book{ DeV:75,
author= {C.A. DESOER and M. VIDYASAGAR},
title= {Feedback Systems: {I}nput-Output Properties},
publisher= {Academic Press},
address= {New York},
year= {1975},
}
# Now from Jon lee
@article {Pad:89,
AUTHOR = {PADBERG, M. W.},
TITLE = {The {B}oolean quadric polytope: {S}ome characteristics, facets
and relatives},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {Ser. B, 45},
YEAR = {1989},
NUMBER = {1},
PAGES = {139--172},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@incollection {AFLW:96,
AUTHOR = {K.M. ANSTREICHER and FAMPA, M. and LEE, J. and
WILLIAMS, J.},
TITLE = {Continuous relaxations for constrained maximum-entropy
sampling},
BOOKTITLE = {Integer Programming and Combinatorial Optimization (Vancouver,
BC, 1996)},
editor = {W.H. Cunningham and T. McCormick and M. Queyranne},
PAGES = {234--248},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {1084},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1996},
}
@article {AFLW:97,
AUTHOR = {K.M. ANSTREICHER and FAMPA, M. and LEE, J. and
WILLIAMS, J.},
title = {Using continuous nonlinear relaxations to
solve constrained maximum-entropy sampling problems},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {Ser. A, 85},
YEAR = {1999},
NUMBER = {2},
PAGES = {221-240},
}
@article {KLQ:95,
AUTHOR = {KO, C.-W. and LEE, J. and QUEYRANNE, M.},
TITLE = {An exact algorithm for maximum entropy sampling},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research. The Journal of the Operations Research
Society of America},
VOLUME = {43},
YEAR = {1995},
NUMBER = {4},
PAGES = {684--691},
ISSN = {0030-364X},
CODEN = {OPREAI},
}
@article {Lee:98,
AUTHOR = {LEE, J.},
TITLE = {Constrained maximum-entropy sampling},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research. The Journal of the Operations Research
Society of America},
VOLUME = {46},
pages = "655-664",
YEAR = {1998},
}
@incollection {KLW:98,
AUTHOR = {KO, C.-W. and LEE, J. and WAYNE, K.},
title = {A spectral bound for {D}-optimality},
BOOKTITLE = {MODA 5 - Advances in Model-Oriented Data
Analysis and Experimental Design (Marseilles, 1998)},
SERIES = {Contributions to Statistics},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
year = {1998},
editor = {A.C. Atkinson and L. Pronzato and H.P. Wynn},
}
@article {Wel:82b,
AUTHOR = {WELCH, W.J.},
TITLE = {Branch-and-bound search for experimental designs based on
{D}-optimality and other criteria},
JOURNAL = {Technometrics},
FJOURNAL = {Technometrics. A Journal of Statistics for the Physical,
Chemical and Engineering Sciences},
VOLUME = {24},
YEAR = {1982},
NUMBER = {1},
PAGES = {41--48},
ISSN = {0040-1706},
CODEN = {TCMTA2},
}
@article {Wel:82a,
AUTHOR = {WELCH, W.J.},
TITLE = {Algorithmic complexity: {T}hree {N}{P}-hard problems in
computational statistics},
JOURNAL = {J. Statist. Comput. Simulation},
FJOURNAL = {Journal of Statistical Computation and Simulation},
VOLUME = {15},
YEAR = {1982},
NUMBER = {1},
PAGES = {17--25},
ISSN = {0094-9655},
CODEN = {JSCSAT},
}
%%% from F. Jarre - start
@incollection{so85,
AUTHOR = "G.\ SONNEVEND",
TITLE = "An {`analytical centre'} for polyhedrons and new classes of
global algorithms for linear {(smooth, convex)} programming",
BOOKTITLE = "System Modelling and Optimization",
NOTE = "Lecture Notes in Control and Information Sciences No. 84",
PUBLISHER = "Springer",
ADDRESS = "Berlin",
YEAR = "1986",
PAGES = "866--875",
}
@techreport{utl,
AUTHOR = " URBAN, T. and TITS, A.L. and LAWRENCE, C.T. ",
TITLE = "A primal-dual interior-point method for nonconvex optimization
with multiple logarithmic barrier parameters and with strong
convergence properties",
TYPE = "Report",
INSTITUTION = "University of Maryland",
ADDRESS = "College Park",
YEAR = "1998",
}
@techreport{vs,
AUTHOR = "R.J.\ Vanderbei and D.F.\ SHANNO",
TITLE = "An interior point algorithm for nonconvex nonlinear programming",
TYPE = "Report",
NUMBER = "SOR-97-21",
INSTITUTION = "Dept.\ of Statistics and OR, Princeton University",
YEAR = "1997",
}
#%%% from F. Jarre - end
# some from Serge
@article {MR2093387,
AUTHOR = {OBUCHOWSKA, WIES{\L}AWA T.},
TITLE = {Remarks on the analytic centers of convex sets},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {29},
YEAR = {2004},
NUMBER = {1},
PAGES = {60--90},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {52A41 (90C25 90C30)},
MRNUMBER = {MR2093387},
}
@article {MR2031625,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {On the minimizing trajectory of convex functions with
unbounded level sets},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {27},
YEAR = {2004},
NUMBER = {1},
PAGES = {37--52},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C25},
MRNUMBER = {MR2031625 (2004m:90114)},
}
@incollection {MR1482247,
AUTHOR = {Caron, R.J. and Boneh, A. and Boneh, S.},
TITLE = {Redundancy},
BOOKTITLE = {Advances in sensitivity analysis and parametric
programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {6},
PAGES = {13.1--13.41},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1997},
MRCLASS = {90C08 (90C15)},
MRNUMBER = {1482247 (98k:90058)},
}
@article {MR95j:90054,
AUTHOR = {OBUCHOWSKA, W.T. and Caron, R.J.},
TITLE = {Minimal representation of quadratically constrained convex
feasible regions},
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {68},
YEAR = {1995},
NUMBER = {2, Ser. A},
PAGES = {169--186},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@article {MR1761152,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Minimal representation of convex regions defined by analytic
functions},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {246},
YEAR = {2000},
NUMBER = {1},
PAGES = {100--121},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90Cxx (52A41)},
MRNUMBER = {1 761 152},
}
@article {MR2000f:90049,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Convex constrained programmes with unattained infima},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {234},
YEAR = {1999},
NUMBER = {2},
PAGES = {675--694},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C25 (52A41)},
MRNUMBER = {2000f:90049},
MRREVR = {Jean-Pierre Crouzeix},
}
@article {MR2000e:90083,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {On infeasibility of systems of convex analytic inequalities},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {234},
YEAR = {1999},
NUMBER = {1},
PAGES = {223--245},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C31 (90C08 90C25)},
MRNUMBER = {2000e:90083},
MRREVR = {Henry Wolkowicz},
}
@article {MR99i:90098,
AUTHOR = {ISAC, G. and OBUCHOWSKA, W.T.},
TITLE = {Functions without exceptional family of elements and
complementarity problems},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {99},
YEAR = {1998},
NUMBER = {1},
PAGES = {147--163},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C33},
MRNUMBER = {99i:90098},
MRREVR = {Siegfried Schaible},
}
@article {MR97c:90111,
AUTHOR = {OBUCHOWSKA, W.T. and Caron, R.J.},
TITLE = {Improving the rate of convergence of the logarithmic barrier
function method},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {35},
YEAR = {1995},
NUMBER = {4},
PAGES = {317--332},
ISSN = {0233-1934},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {97c:90111},
}
@article {MR85d:90073,
AUTHOR = {OBUCHOWSKA, W.T.},
TITLE = {Certain relations between the global and the conditional
extremum in convex programming},
JOURNAL = {Przeglpolhk ad Statyst.},
FJOURNAL = {Polska Akademia Nauk. Komitet Statystyki i Ekonometrii.
Przeglpolhk ad Statystyczny},
VOLUME = {29},
YEAR = {1982},
NUMBER = {1-2},
PAGES = {231--238 (1983)},
ISSN = {0033-2372},
CODEN = {PZSTAD},
MRCLASS = {90C25},
MRNUMBER = {85d:90073},
}
@article {MR84h:62093,
AUTHOR = {OBUCHOWSKA, WIES{\L}AWA},
TITLE = {Some properties of a correlation matrix which is majorized and
minorized by a neutral matrix},
JOURNAL = {Przeglpolhk ad Statyst.},
FJOURNAL = {Polska Akademia Nauk. Komitet Statystyki i Ekonometrii.
Przeglpolhk ad Statystyczny},
VOLUME = {27},
YEAR = {1980},
NUMBER = {3-4},
PAGES = {271--278 (1982)},
ISSN = {0033-2372},
CODEN = {PZSTAD},
MRCLASS = {62H20 (62H05)},
MRNUMBER = {84h:62093},
MRREVR = {M. Hu{\v{s}}kov{\'a}},
}
@book {MR56:17985,
AUTHOR = {Jacobson, David H.},
TITLE = {Extensions of linear-quadratic control, optimization
and matrix theory},
NOTE = {Mathematics in Science and Engineering, Vol. 133},
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich
Publishers]},
ADDRESS = {London},
YEAR = 1977,
PAGES = {x+217},
}
@book {MR2515104,
AUTHOR = {Dontchev, Asen L. and Rockafellar, R. Tyrrell},
TITLE = {Implicit functions and solution mappings},
SERIES = {Springer Monographs in Mathematics},
NOTE = {A view from variational analysis},
PUBLISHER = {Springer},
ADDRESS = {Dordrecht},
YEAR = {2009},
PAGES = {xii+375},
ISBN = {978-0-387-87820-1},
MRCLASS = {49J53 (26B10 47J30 47N10 49K40 58C15 90C31)},
MRNUMBER = {2515104 (2010g:49027)},
MRREVIEWER = {Stephen M. Robinson},
DOI = {10.1007/978-0-387-87821-8},
URL = {http://dx.doi.org/10.1007/978-0-387-87821-8},
}
@article {MR88e:49045,
AUTHOR = {Rockafellar, R. T.},
TITLE = {Linear-quadratic programming and optimal control},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {Society for Industrial and Applied
Mathematics. Journal on Control and Optimization},
VOLUME = 25,
YEAR = 1987,
NUMBER = 3,
PAGES = {781--814},
ISSN = {0363-0129},
CODEN = {SJCODC},
}
@incollection {MR91j:93083,
AUTHOR = {Rapoport, L. B.},
TITLE = {Positive definiteness of a quadratic form under
quadratic constraints and absolute stability of
nonlinear control systems},
BOOKTITLE = {Qualitative theory of differential equations
(Szeged, 1988)},
PAGES = {567--576},
SERIES = {Colloq. Math. Soc. J\'anos Bolyai},
VOLUME = 53,
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = 1990,
}
@article {MR97d:90069,
AUTHOR = {Preisig, J. C.},
TITLE = {Copositivity and the minimization of quadratic
functions with nonnegativity and quadratic equality
constraints},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {SIAM Journal on Control and Optimization},
VOLUME = 34,
YEAR = 1996,
NUMBER = 4,
PAGES = {1135--1150},
ISSN = {0363-0129},
CODEN = {SJCODE},
}
@article {MR96m:49066,
AUTHOR = {Matveev, A.S.},
TITLE = {Lagrangian duality in the theory of nonconvex
optimization, and modifications of the
{T}oeplitz-{H}ausdorff theorem},
JOURNAL = {Algebra i Analiz},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
VOLUME = 7,
YEAR = 1995,
NUMBER = 5,
PAGES = {143--181},
ISSN = {0234-0852},
}
@Article{Park:1988:RNG,
author = "Stephen K. Park and Keith W. Miller",
title = "Random Number Generators: Good Ones are Hard to Find",
journal = "Communications of the ACM",
volume = "31",
number = "10",
pages = "1192--1201",
month = oct,
year = "1988",
coden = "CACMA2",
ISSN = "0001-0782",
mrclass = "65C10 (11K45)",
mrnumber = "91h:65012",
bibdate = "Sat Apr 06 08:06:30 1996",
url = "http://www.acm.org/pubs/toc/Abstracts/0001-0782/63042.html",
acknowledgement = ack-nhfb,
annote = "Practical and theoretical issues are presented
concerning the design, implementation, and use of a
good, minimal standard random number generator that
will port to virtually all systems.",
country = "USA",
descriptors = "Random number; random number testing; Pseudo-random
generator",
keywords = "algorithms; design; performance; standardization;
theory",
language = "English",
references = "47",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Random number generation. {\bf D.2.0}:
Software, SOFTWARE ENGINEERING, General, Standards.
{\bf K.6.2}: Computing Milieux, MANAGEMENT OF COMPUTING
AND INFORMATION SYSTEMS, Installation Management.",
}
@article {MR1651750,
AUTHOR = {Dedieu, J.P. and Shub, M.},
TITLE = {{N}ewton's method for overdetermined systems of equations},
JOURNAL = {Math. Comp.},
FJOURNAL = {Mathematics of Computation},
VOLUME = {69},
YEAR = {2000},
NUMBER = {231},
PAGES = {1099--1115},
ISSN = {0025-5718},
MRCLASS = {65Y10 (65J15 65Y20)},
MRNUMBER = {1651750},
MRREVIEWER = {Erich Novak},
DOI = {10.1090/S0025-5718-99-01115-1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/S0025-5718-99-01115-1},
}
@Article{BlBlSh86,
author = "M. Blum and L. Blum and M. Shub",
title = "A simple and secure pseudo-random number generator",
journal = "SIAM Journal on Computing",
year = "1986",
pages = "364--383",
volume = "15",
note = "Two pseudo-random sequence generators are presented
which, from small seeds, generate long well-distributed
sequences. The first, $1/P$ generator, is completely
predictable from a small segment of its output. The
second, $x^2 \pmod N$ generator, is {\it
cryptographically secure} as its sequence is
polynomial-time unpredictable (if quadratic residuacity
problem is indeed hard).",
}
@Article{BlMi84,
author = "M. Blum and S. Micali",
title = "How to generate cryptographically strong sequence of
pseudo-random bits",
journal = "SIAM Journal on Computing",
year = "1984",
pages = "850--864",
volume = "13",
note = "This paper introduces the notion of cryptographically
secure pseudo-random number generator.",
}
@Article{Marsaglia93,
author = "G. Marsaglia",
title = "Remarks on choosing and implementing random number
generators.",
journal = "Comm. A.C.M.",
volume = "36",
number = "7",
pages = "105--110",
month = jul,
year = "1993",
keywords = "random number generator, RNG, pseudo PRNG",
abstract = "via enews",
}
@article {MR52:5711,
AUTHOR = {MARSAGLIA, G. and STYAN, G.P.H.},
TITLE = {Equalities and inequalities for ranks of matrices},
JOURNAL = {Linear and Multilinear Algebra},
VOLUME = {2},
YEAR = {1974/75},
PAGES = {269--292},
MRCLASS = {15A45},
MRNUMBER = {52 \#5711},
MRREVIEWER = {A. R. Amir-Moez},
}
@article {MR52:5699,
AUTHOR = {Marsaglia, George and Styan, George P. H.},
TITLE = {Rank conditions for generalized inverses of partitioned
matrices},
JOURNAL = {Sankhy\=a Ser. A},
VOLUME = {36},
YEAR = {1974},
NUMBER = {4},
PAGES = {437--442},
MRCLASS = {15A09},
MRNUMBER = {52 \#5699},
MRREVIEWER = {Thomas L. Boullion},
}
@article {MR47:236,
AUTHOR = {Marsaglia, G. and Styan, G. P. H.},
TITLE = {When does ${\rm rank}\ ({A}+{B})={\rm rank}({A})+{\rm
rank}({B})$?},
JOURNAL = {Canad. Math. Bull.},
VOLUME = {15},
YEAR = {1972},
PAGES = {451--452},
MRCLASS = {15A03},
MRNUMBER = {47 \#236},
MRREVIEWER = {A. R. Amir-Moez},
}
@Article{Mitchell93a,
author = "Mitchell",
title = "A Nonlinear Random Number Generator with Known, Long
Cycle Length",
journal = "CRYPTOLOGIA: Cryptologia",
volume = "17",
year = "1993",
}
@proceedings {MR97k:94002,
TITLE = {Advances in cryptology---{C}{R}{Y}{P}{T}{O} '95},
BOOKTITLE = {Proceedings of the 15th Annual International Cryptology
Conference held at the University of California, Santa Barbara,
CA, August 27--31, 1995},
EDITOR = {Coppersmith, Don},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {963},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1995},
PAGES = {xii+467},
ISBN = {3-540-60221-6},
}
@incollection {MR91d:68051,
AUTHOR = {Micali, S. and Schnorr, C.-P.},
TITLE = {Efficient, perfect random number generators},
BOOKTITLE = {Advances in cryptology---CRYPTO '88 (Santa Barbara, CA, 1988)},
PAGES = {173--198},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {403},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1990},
}
@incollection {MR85i:94017,
AUTHOR = {Sloane, N. J. A.},
TITLE = {Encrypting by random rotations},
BOOKTITLE = {Cryptography (Burg Feuerstein, 1982)},
PAGES = {71--128},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {149},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1983},
}
@article {MR90g:94015,
AUTHOR = {Matthews, Robert},
TITLE = {On the derivation of a ``chaotic'' encryption algorithm},
JOURNAL = {Cryptologia},
FJOURNAL = {Cryptologia},
VOLUME = {13},
YEAR = {1989},
NUMBER = {1},
PAGES = {29--42},
ISSN = {0161-1194},
}
@article {MR92b:94035,
AUTHOR = {Ritter, Terry},
TITLE = {The efficient generation of cryptographic confusion sequences},
JOURNAL = {Cryptologia},
FJOURNAL = {Cryptologia},
VOLUME = {15},
YEAR = {1991},
NUMBER = {2},
PAGES = {81--139},
ISSN = {0161-1194},
}
@Book{knut:81,
author = "D. E. Knuth",
year = "1981",
title = "The Art of Computer Programming {II}: Seminumerical
Algorithms",
edition = "Second",
publisher = "Addison--Wesley",
address = "Reading, Massachusetts",
kwds = "cs, na, book, random numbers, computer arithmetic",
}
@InProceedings{Plumstead83b,
oldtag = "Plumstead83",
author = "Joan B. Plumstead",
title = "Inferring a Sequence Produced by a Linear Congruence",
pages = "317--319",
booktitle = "Proc.\ CRYPTO 82",
editor = "R. L. Rivest and A. Sherman and D. Chaum",
publisher = "Plenum Press",
address = "New York",
year = "1983",
comment = "Abstract of the FOCS '82 paper",
}
@Article{Shamir83,
author = "A. Shamir",
title = "On the Generation of Cryptographically Strong
Pseudorandom Sequences",
journal = "ACM Trans. on Computer Sys.",
volume = "1",
number = "1",
pages = "38",
month = feb,
year = "1983",
keywords = "TOCS",
}
@InCollection{KnuYao76,
author = "Knuth and Yao",
title = "The Complexity of Nonuniform Random Number
Generation",
booktitle = "Algorithms and Complexity: New Directions and Recent
Results, Ed. J. F. Traub, Academic Press",
year = "1976",
}
@incollection {MR780384,
AUTHOR = {Yao, Andrew C.},
TITLE = {Theory and applications of trapdoor functions},
BOOKTITLE = {23rd annual symposium on foundations of computer science
(Chicago, Ill., 1982)},
PAGES = {80--91},
PUBLISHER = {IEEE},
ADDRESS = {New York},
YEAR = {1982},
}
@TechReport{BeYeZh:98,
author = {Benson, S. J. and Ye, Y. and Zhang, X.},
title = {Solving Large-Scale Semidefinite Programs for Combinatorial Optimization},
institution = {University of Iowa},
year = {1998},
month = {May},
}
@article{Monteiro-Svaiter-2010a,
doi = {10.1137/110849468},
url = {https://doi.org/10.1137/110849468},
year = {2013},
month = jan,
publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
volume = {23},
number = {1},
pages = {475--507},
author = {R.D.C. Monteiro and B.F. Svaiter},
title = {Iteration-Complexity of Block-Decomposition Algorithms and the
Alternating Direction Method of Multipliers},
journal = {{SIAM} Journal on Optimization}
}
@TechReport{MoTs:98,
author = {Monteiro, R and Tsuchiya T},
title = {Polynomial Convergence of a New Family of Primal-Dual Algorithms for Semidefinite Programming},
institution = {Georgia Institute of Technology},
year = {1998},
month = {January},
}
@ARTICLE{GAC:96,
author = {P. GAHINET and P. APKARIAN and M. CHILALI},
month = mar,
year = 1996,
title = {Affine Parameter-Dependent {L}yapunov Functions for Real Parameter
Uncertainty},
journal = tac,
volume = 41,
number = 3,
pages = {436-442}
}
@article{AGB:95,
author={P. APKARIAN and P. GAHINET and G. BECKER},
title={Self-Scheduled {${\cal H}_{\infty}$} Control of Linear
Parameter-Varying Systems: A Design Example},
journal=aut,
mon=sep,
year=1995,
volume=31,
number=9,
pages={1251-1261}
}
@phdthesis{Bec:93,
author= {G. BECKER},
title= { Quadratic Stability and Performance
of Linear Parameter Dependent Systems},
school= {University of California, Berkeley},
year= {1993}
}
@ARTICLE{YuS:97,
author = {{J. YU and A. SIDERIS}},
year = 1997,
title = {{$H_\infty$ control with parametric {L}yapunov functions}},
journal = scl,
volume = 30,
pages = {57-69}
}
@ARTICLE{ElS:96,
author = {L.~EL~GHAOUI and G. SCORLETTI},
month = sep,
year = 1996,
title = {Control of Rational Systems using {L}inear-{F}ractional
{R}epresentations and {L}inear {M}atrix {I}nequalities},
journal = {Automatica},
volume = 32,
number = 9
}
@phdthesis{You:93,
author={P. M. Young},
title= {{R}obustness with {P}arametric and
{D}ynamic {U}ncertainty},
school={California Institute of Technology},
year={1993},
address={Pasadena, CA 91125},
month=may
}
@article{ Pac:94,
author={A. PACKARD},
title={Gain Scheduling via Linear Fractional Transformations},
journal=scl,
volume = {22},
pages={79-92},
year={1994}
}
@manual{mutools,
author= {G. BALAS and J. C. DOYLE and K. GLOVER and A. PACKARD
and R. SMITH},
title= {$\mu$-analysis and synthesis},
organization= {MUSYN, inc., and The Mathworks, Inc.},
year= {1991}
}
@ARTICLE{MeR:97,
author = {A. MEGRETSKI and A. RANTZER},
month = Jun,
year = 1997,
title = {System Analysis via Integral Quadratic Constraints},
journal = tac,
volume = {42},
number = {6},
pages = {819-830},
}
@article {ElGhaoui03,
AUTHOR = {El Ghaoui, L. and Oks, M. and Oustry, F.},
TITLE = {Worst-case value-at-risk and robust portfolio
optimization: a
conic programming approach},
JOURNAL = {Oper. Res.},
FJOURNAL = {Operations Research},
VOLUME = {51},
YEAR = {2003},
NUMBER = {4},
PAGES = {543--556},
ISSN = {0030-364X},
CODEN = {OPREAI},
MRCLASS = {91B28 (90C15)},
MRNUMBER = {1991970},
DOI = {10.1287/opre.51.4.543.16101},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/opre.51.4.543.16101},
}
@article {Ghaoui1997,
AUTHOR = {El Ghaoui, L. and Lebret, H.},
TITLE = {Robust solutions to least-squares problems with uncertain
data},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {18},
YEAR = {1997},
NUMBER = {4},
PAGES = {1035--1064},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F20 (15A06)},
MRNUMBER = {1472008 (99c:65075)},
MRREVIEWER = {Ching-Tsuan Pan},
DOI = {10.1137/S0895479896298130},
URL = {http://dx.doi.org/10.1137/S0895479896298130},
}
@inproceedings{EBFB:92,
author={L. {El~Ghaoui} and V. Balakrishnan and E. Feron and S. Boyd},
title={On Maximizing a Robustness Measure for Structured Nonlinear
Perturbations},
booktitle=acc,
year={1992},
pages={2923-2924},
volume = {4},
address={Chicago},
month=jun
}
@ARTICLE{Bal:95,
author = {V. Balakrishnan},
year = 1995,
title = {Linear Matrix Inequalities in Robustness Analysis with Multipliers},
journal = scl,
volume = 25,
number = 4,
pages = {265-272}
}
@techreport{CTB1:97,
author={Y.S. CHOU and A.L. TITS and V. Balakrishnan},
title= {Absolute Stability
Theory, Theory, and State-Space Verification of Frequency-Domain
Conditions: Connections and Implications for
Computation},
institution={Institute for Systems Research, University of
Maryland},
number = {TR 97-23},
note = {Accepted for publication in {\it IEEE Trans.\ Aut.\
Control}, 1998.},
year=1997
}
@article{ShA:90,
author={J. S. SHAMMA and M. ATHANS},
title={Analysis of Gain Scheduled Control for Nonlinear Plants},
journal=tac,
number = 8,
volume=35,
pages = {898-907},
year = 1990,
month = Aug
}
@article{ShA:92,
author={J. S. SHAMMA and M. ATHANS},
title={Gain Scheduling: Potential Hazards and Possible Remedies},
journal= csm,
pages = {101-107},
year = {1992},
month = "June"
}
@article{ WYPB:94,
author={F. WU and X. H. YANG and A. PACKARD and G. BECKER},
title={Induced {${\bf L}_2$}-Norm Control for {LPV} System
with Bounded Parameter Variation Rates},
journal=ijrnc,
month=dec,
year=1994,
}
@article{ AG:95,
author={P. APKARIAN and P. GAHINET},
title={A Convex Characterization of Gain-Scheduled
{${\cal H}_{\infty}$} Controllers},
journal=tac,
volume={AC-40},
number=5,
pages={853-864},
mon=may,
year=1995
}
@manual{ Kmtools,
author= {R. CHIANG and M.G. SAFONOV},
title= {Robust Control Toolbox},
organization= {The Mathworks, Inc.},
year= {1992}
}
@article{ FTD:91,
author={M.K. H. FAN and A.L. TITS and J.C. DOYLE},
title={Robustness in the presence of mixed parametric
uncertainty and unmodeled dynamics},
journal=tac,
year={1991},
volume={AC-36},
number={1},
pages={25-38},
month=jan
}
@book{ Wu:95,
author={F. WU},
title={Control of Linear Parameter Varying Systems},
publisher={Engineering-Mechanical Eng.\ Dept., University of California
Berkeley},
series={Doctoral Dissertation},
year={1995}
}
@ARTICLE{FAG:96,
author = {E. Feron, P. APKARIAN and P. GAHINET},
month = jul,
year = 1996,
title = {Analysis and Synthesis of Robust Control Systems via
Parameter-Dependent {L}yapunov Functions},
journal = tac,
volume = 41,
number = 7,
pages = {1041-1046}
}
@incollection{ SaC:93,
author="M.G. SAFONOV and R. Y. CHIANG",
title="Real/Complex {$K_m$}-Synthesis without Curve Fitting",
booktitle="Control and Dynamic Systems",
volume="56",
part="2",
pages="303--324",
editor="C.T. Leondes",
publisher="Academic Press",
address="New York",
year="1993",
}
@article{ Sch:96,
author= {C. SCHERER},
title= {Mixed {$H_2$/$H_\infty$} control for time-varying and
linear para\-metrically-varying systems},
journal= ijrnc,
year=1996,
volume = 6,
month = {Nov--Dec},
number = {9/10},
pages = {929-952}
}
@ARTICLE{GaA:94,
author = {P. GAHINET and P. APKARIAN},
year = 1994,
title = {A Linear Matrix Inequality Approach to ${H}^\infty$ Control},
journal = ijrnc,
volume = 4,
pages = {421-448},
note = {}
}
@BOOK{ZDG:96,
author = {{K. ZHOU with J. DOYLE} and K. GLOVER},
year = 1996,
title = {Robust and Optimal Control},
note = {},
publisher = {Prentice Hall}
}
@article{Ran:96,
author = {A. RANTZER},
title = {On the {Kalman}-{Yakubovich}-{Popov} {L}emma},
journal = scl,
year = 1996,
volume = 28,
number = 1,
pages = {7-10}
}
@article{ApA:98,
author = {P. APKARIAN and R.J. ADAMS},
title = {Advanced Gain-Scheduled Techniques for Uncertain Systems},
journal = tcst,
year = 1998,
month = jan,
volume = {6},
number = 1,
pages = {21-32}
}
@inproceedings{Sch:96a,
author = {C. SCHERER},
title = {Robust generalized ${H}_2$ control for uncertain and {LPV} systems with general scalings},
booktitle = cdc,
year = 1996,
month = dec,
address = { },
pages = {3970-3975}
}
@article{ChG:95,
author = {M. CHILALI and P. GAHINET},
title = {${H}_\infty$ design with pole placement constraints: An LMI approach},
journal = tac,
year = 1995,
month = mar,
volume = 40,
number = 3,
pages = {358-367}
}
@book{AnV:73,
author={B. ANDERSON and S. VONGPANITLERD},
title={Network analysis and synthesis:
a modern systems theory approach},
publisher={Prentice-Hall},
year={1973}
}
@book{ GrL:95,
author={M. GREEN and D. J. N. LIMEBEER},
title={Linear Robust Control},
publisher={Prentice Hall},
year={1995},
notes={},
volume={},
series={Information and System sciences},
address={Englewood Cliffs, NJ},
edition={},
month={}
}
@article{ Yak:62,
author={V.A. YAKUBOVICH},
title={The solution of certain matrix inequalities in automatic control
theory},
journal={Soviet Math. Dokl.},
year={1962},
note={In Russian, 1961.},
volume={3},
pages={620-623}
}
@article{ Yak:64,
author={V.A. YAKUBOVICH},
title={Solution of certain matrix inequalities
encountered in nonlinear control
theory},
journal={Soviet Math. Dokl.},
year={1964},
volume={5},
pages={652-656}
}
@article{ Kal:63,
author= {R.E. KALMAN},
title= { {L}yapunov Functions for the Problem of {L}ur'e in Automatic Control},
journal= {Proc. Nat. Acad. Sci., USA},
volume= {49},
pages= {201-205},
year= {1963}
}
@inproceedings{ Kal:63a,
author= {R.E. KALMAN},
title= {On a New Characterization of Linear Passive Systems},
booktitle= { Proc. First Annual Allerton Conf. on Communication,
Control and Computing},
pages= {456-470},
year= {1963}
}
@article{ Doy:82,
author= {J. DOYLE},
title= {Analysis of Feedback Systems with Structured Uncertainties},
journal= ieep,
volume= {129-D},
number= {6},
year= {1982},
pages= {242-250},
month= nov
}
@article{ Saf:82,
author= {M.G. SAFONOV},
title= {Stability margins of diagonally perturbed
multivariable feedback systems},
journal= ieep,
volume= {129-D},
number= {6},
year= {1982},
month= nov,
pages= {251-256}
}
# Gauss-Seidel related papers follow
@article {MR2001a:90061,
AUTHOR = {GRIPPO, L. and SCIANDRONE, M.},
TITLE = {On the convergence of the block nonlinear {G}auss-{S}eidel
method under convex constraints},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {26},
YEAR = {2000},
NUMBER = {3},
PAGES = {127--136},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {2001a:90061},
MRREVIEWER = {Zun Quan Xia},
}
@article {MR2001a:65118,
AUTHOR = {KORSAWE, J. and STARKE, G.},
TITLE = {Multilevel projection methods for nonlinear least-squares
finite element computations},
NOTE = {Multilevel methods (Copper Mountain, CO, 1999)},
JOURNAL = {Electron. Trans. Numer. Anal.},
FJOURNAL = {Electronic Transactions on Numerical Analysis},
VOLUME = {10},
YEAR = {2000},
PAGES = {56--73 (electronic)},
ISSN = {1068-9613},
MRCLASS = {65M60 (65M55)},
MRNUMBER = {2001a:65118},
}
@book {MR1931309,
AUTHOR = {Auslender, A. and Teboulle, M.},
TITLE = {Asymptotic cones and functions in optimization and
variational
inequalities},
SERIES = {Springer Monographs in Mathematics},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {2003},
PAGES = {xii+249},
ISBN = {0-387-95520-8},
MRCLASS = {49-02 (49J53 49K40 90C46)},
MRNUMBER = {MR1931309 (2003i:49002)},
MRREVIEWER = {Constantin Z{\u{a}}linescu},
}
@incollection {MR2000m:90027,
AUTHOR = {Auslender, A. and Teboulle, M. and Ben-Tiba, S.},
TITLE = {Coupling the logarithmic-quadratic proximal method and the
block nonlinear {G}auss-{S}eidel algorithm for linearly
constrained convex minimization},
BOOKTITLE = {Ill-posed variational problems and regularization
techniques
(Trier, 1998)},
SERIES = {Lecture Notes in Econom. and Math. Systems},
VOLUME = {477},
PAGES = {35--47},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1999},
MRCLASS = {90C25 (90C08)},
MRNUMBER = {2000m:90027},
MRREVIEWER = {K. Zimmermann},
}
@article {MR99e:65049,
AUTHOR = {BAI, Z.Z},
TITLE = {Asynchronous parallel nonlinear symmetric {G}auss-{S}eidel
iteration methods},
JOURNAL = {Math. Numer. Sin.},
FJOURNAL = {Mathematica Numerica Sinica. Jisuan Shuxue},
VOLUME = {20},
YEAR = {1998},
NUMBER = {2},
PAGES = {187--200},
ISSN = {0254-7791},
MRCLASS = {65F10},
MRNUMBER = {99e:65049},
}
#################################start student papers##################
@inproceedings{chKruklip:02a,
AUTHOR = "E. CHENG and S. Kruk and M. LIPMAN",
TITLE = "Flow Formulations for the Student Scheduling Problem",
bookTITLE = " Proceedings of the 4th international conference on the
Practice and Theory of Automated Timetabling",
publisher = "-",
NUMBER = "298-308",
YEAR = "2002",
}
@article{chKruklip:02b,
AUTHOR = "E. CHENG and S. Kruk and M. LIPMAN",
title="An Optimization Formulation for the existence of Complete
Spheres-of-Influence graphs",
journal="Congressus Numerantium",
year="2002",
}
@TECHREPORT {DrorKruk:02,
author = "M. DROR and S. Kruk",
title = "Semidefinite Models of Centralized Inventory",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
year = "2002",
number = "2002-3"}
@techreport{2022_BaMaoMo,
author = {Bauschke, H.H. and Mao, D. and Moursi, W.M.},
title = {How to project onto the intersection of a closed affine subspace and a hyperplane},
publisher = {arXiv},
year = {2022},
copyright = {Creative Commons Attribution Non Commercial Share Alike 4.0 International}
}
@article {MR3233066,
AUTHOR = {Bauschke, H.H. and Bello Cruz, J.Y. and Nghia, T.T.A.
and Phan, H.M. and Wang, X.},
TITLE = {The rate of linear convergence of the {D}ouglas-{R}achford
algorithm for subspaces is the cosine of the {F}riedrichs
angle},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {185},
YEAR = {2014},
PAGES = {63--79},
ISSN = {0021-9045},
MRCLASS = {47J25 (49J53 49M27)},
MRNUMBER = {3233066},
MRREVIEWER = {Patrick L. Combettes},
DOI = {10.1016/j.jat.2014.06.002},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.jat.2014.06.002},
}
@article {MR3227480,
AUTHOR = {Bauschke, H. H. and Noll, D.},
TITLE = {On the local convergence of the {D}ouglas-{R}achford
algorithm},
JOURNAL = {Arch. Math. (Basel)},
FJOURNAL = {Archiv der Mathematik},
VOLUME = {102},
YEAR = {2014},
NUMBER = {6},
PAGES = {589--600},
ISSN = {0003-889X},
MRCLASS = {47J25 (52A20 90C26)},
MRNUMBER = {3227480},
MRREVIEWER = {Shoham Sabach},
DOI = {10.1007/s00013-014-0652-2},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s00013-014-0652-2},
}
@TECHREPORT {BausKruk:02,
author = "H. Bauschke and S. Kruk",
title = "The method of reflection-projection for convex
feasibility problems with an obtuse cone",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
note = "to appear in JOTA",
year = "2002",
number = "2002-4"}
@article {MR4115560,
AUTHOR = {B\`ui, M.N. and Combettes, P.L.},
TITLE = {Warped proximal iterations for monotone inclusions},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {491},
YEAR = {2020},
NUMBER = {1},
PAGES = {124315, 21},
ISSN = {0022-247X},
MRCLASS = {47J25 (47H05 47J22)},
MRNUMBER = {4115560},
DOI = {10.1016/j.jmaa.2020.124315},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jmaa.2020.124315},
}
@techreport{bui2021multivariate,
title={Multivariate Monotone Inclusions in Saddle Form},
author={M.N. Bui and P.L. Combettes},
year={2021},
eprint={2002.06135},
archivePrefix={arXiv},
primaryClass={math.OC}
}
@article {MR3767763,
AUTHOR = {Combettes, P.L. and Eckstein, J.},
TITLE = {Asynchronous block-iterative primal-dual decomposition methods
for monotone inclusions},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {168},
YEAR = {2018},
NUMBER = {1-2, Ser. B},
PAGES = {645--672},
ISSN = {0025-5610},
MRCLASS = {47H05 (49M27 65K05 90C25)},
MRNUMBER = {3767763},
MRREVIEWER = {Radu Ioan Bo\c{t}},
DOI = {10.1007/s10107-016-1044-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-016-1044-0},
}
@article {MR4088377,
AUTHOR = {B\`ui, M.N. and Combettes, P.L.},
TITLE = {The {D}ouglas-{R}achford algorithm converges only weakly},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {SIAM Journal on Control and Optimization},
VOLUME = {58},
YEAR = {2020},
NUMBER = {2},
PAGES = {1118--1120},
ISSN = {0363-0129},
MRCLASS = {47H05 (47H09 49J40 49M29)},
MRNUMBER = {4088377},
DOI = {10.1137/19M1308451},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/19M1308451},
}
@article {MR2222249,
AUTHOR = {Bauschke, H.H. and Combettes, P.L. and Kruk, S.G.},
TITLE = {Extrapolation algorithm for affine-convex feasibility
problems},
JOURNAL = {Numer. Algorithms},
FJOURNAL = {Numerical Algorithms},
VOLUME = {41},
YEAR = {2006},
NUMBER = {3},
PAGES = {239--274},
ISSN = {1017-1398},
MRCLASS = {90C25},
MRNUMBER = {2222249},
MRREVIEWER = {J. Borwein},
DOI = {10.1007/s11075-005-9010-6},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11075-005-9010-6},
}
@article {MR2063324,
AUTHOR = {Bauschke, H.H. and Kruk, S.G.},
TITLE = {Reflection-projection method for convex feasibility problems
with an obtuse cone},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {120},
YEAR = {2004},
NUMBER = {3},
PAGES = {503--531},
ISSN = {0022-3239},
MRCLASS = {90C25 (90C46)},
MRNUMBER = {2063324},
MRREVIEWER = {Wies\l awa T. Obuchowska},
DOI = {10.1023/B:JOTA.0000025708.31430.22},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1023/B:JOTA.0000025708.31430.22},
}
@TECHREPORT {BausCombKruk:02,
author = "H. Bauschke and P.L. Combettes and S. Kruk",
title = "Solving large, sparse linear programs
using projections",
institution = "Department of Mathematics and Statistics",
address ="Oakland University, Rochester MI",
note = "to appear in JOTA",
year = "2002",
number = "2002-6"}
@book {MR2798533,
AUTHOR = {Bauschke, H.H. and Combettes, P.L.},
TITLE = {Convex analysis and monotone operator theory in {H}ilbert
spaces},
SERIES = {CMS Books in Mathematics/Ouvrages de Math\'ematiques de
la
SMC},
NOTE = {With a foreword by H{\'e}dy Attouch},
PUBLISHER = {Springer, New York},
YEAR = {2011},
PAGES = {xvi+468},
ISBN = {978-1-4419-9466-0},
MRCLASS = {49-02 (41A65 46B20 46C05 47H05 90C25 90C30 90C48)},
MRNUMBER = {2798533 (2012h:49001)},
MRREVIEWER = {Simeon Reich},
DOI = {10.1007/978-1-4419-9467-7},
URL = {http://dx.doi.org/10.1007/978-1-4419-9467-7},
}
@book {MR3616647,
AUTHOR = {Bauschke, H.H. and Combettes, P.L.},
TITLE = {Convex analysis and monotone operator theory in {H}ilbert
spaces},
SERIES = {CMS Books in Mathematics/Ouvrages de Math\'{e}matiques de la SMC},
EDITION = {Second},
NOTE = {With a foreword by H\'{e}dy Attouch},
PUBLISHER = {Springer, Cham},
YEAR = {2017},
PAGES = {xix+619},
ISBN = {978-3-319-48310-8; 978-3-319-48311-5},
MRCLASS = {49-02 (41A65 46B20 46C05 47H05 90C25)},
MRNUMBER = {3616647},
DOI = {10.1007/978-3-319-48311-5},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-319-48311-5},
}
#################################end student papers##################
#################################procrustes references##################
@article {MR2003f:65114,
AUTHOR = {Del Buono, N. and Lopez, L.},
TITLE = {Geometric integration on manifold of square oblique
rotation
matrices},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {23},
YEAR = {2002},
NUMBER = {4},
PAGES = {974--989 (electronic)},
ISSN = {1095-7162},
MRCLASS = {65L05 (34A34 34C40 37M99 65F99)},
MRNUMBER = {2003f:65114},
}
@article {MR2003b:90071,
AUTHOR = {Trendafilov, Nickolay T. and Lippert, Ross A.},
TITLE = {The multimode {P}rocrustes problem},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {349},
YEAR = {2002},
PAGES = {245--264},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C25 (65K10)},
MRNUMBER = {2003b:90071},
}
@article {MR95f:65072,
AUTHOR = {Watson, G. A.},
TITLE = {The solution of orthogonal {P}rocrustes problems for a
family
of orthogonally invariant norms},
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MRNUMBER = {93g:65055},
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CODEN = {SJMAEL},
MRCLASS = {15A42 (15A15 93B60)},
MRNUMBER = {89g:15016},
MRREVIEWER = {M. M. Konstantinov},
}
#################################end procrustes references##################
#################################partial separability
@article {MR2089056,
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INSTITUTION = "Namur Center for Complex Systems",
YEAR = "2010",
URL =
{http://www.optimization-online.org/DB_HTML/2010/12/2855.html},
}
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ISSN = {0025-5610},
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@incollection {MR3446850,
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BOOKTITLE = {Numerical analysis and optimization},
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YEAR = {2015},
MRCLASS = {65K10 (90C25)},
MRNUMBER = {3446850},
DOI = {10.1007/978-3-319-17689-5_11},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-319-17689-5_11},
}
@article {MR3217221,
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structure},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {24},
YEAR = {2014},
NUMBER = {2},
PAGES = {873--897},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C25 90C51)},
MRNUMBER = {3217221},
MRREVIEWER = {Gyeong-Mi Cho},
DOI = {10.1137/130926924},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/130926924},
}
#################################end partial separability
#################################start from Forbes Burkowski
@article{Olszewskietal:00,
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@article{Desmetetal:92,
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journal = {Nature},
year = "1992",
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number = {},
pages = {539-542}
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#################################end from Forbes Burkowski
%-----------------------------------------------------------
% Protein Data Bank
@article{Berman00theprotein,
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@article{Pettersen598414,
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posted-at = {2010-10-30 03:33:07},
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year = {2004}
}
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number = {2},
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posted-at = {2007-10-08 07:25:18},
priority = {2},
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year = {1995}
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@phdthesis{Kingsford:2005:CAP:1123937,
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#####################added by Dima march/2014
@incollection{Floudas:2001aa,
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Da = {2001/01/01},
Date-Added = {2014-02-27 18:53:49 -0500},
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@book{Netzer:2012aa,
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Date-Modified = {2014-02-28 11:16:06 -0500},
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Publisher = {Habilitationsschrift, Universit{\"a}t Leipzig},
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@article{MR3062007,
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Fjournal = {SIAM Journal on Optimization},
Issn = {1052-6234},
Journal = {SIAM J. Optim.},
Mrclass = {14P10 (14P25 52A99 65K10 90C22 90C25 90C60)},
Mrnumber = {2515796 (2010i:14105)},
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Number = {2},
Pages = {759--791},
Title = {Sufficient and necessary conditions for semidefinite representability of convex hulls and sets},
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Year = {2009},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=2515796}}
@article{MR2533752,
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Fjournal = {Numerical Functional Analysis and Optimization. An International Journal},
Issn = {0163-0563},
Journal = {Numer. Funct. Anal. Optim.},
Mrclass = {47N10 (47A99 49J27 54A10 57N17)},
Mrnumber = {1404832 (97j:47091)},
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Pages = {503--515},
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Volume = {17},
Year = {1996},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=1404832}}
%%%%%%%%%%%%%%%%%%%%%quantum references CK Li et al
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#######################added paper by Greg Reid 2014
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title={Joining Forces in Solving Large-Scale Quadratic AssignmentProblems in
Parallel},
booktitle={Proceedings of the 11th International Parallel Processing Symposium
(IPPS'97)},
year={1997},
pages={418--427"}
}
@book{MR2546839,
AUTHOR={Ben-Tal, A. and El Ghaoui, L. and Nemirovski, A.},
TITLE={Robust optimization},
SERIES={Princeton Series in Applied Mathematics},
PUBLISHER={Princeton University Press, Princeton, NJ},
YEAR={2009},
PAGES={xxii+542},
ISBN={978-0-691-14368-2},
MRCLASS={90-02 (49K40 90C22 90C31 93C41)},
MRNUMBER={2546839},
MRREVIEWER={Alexander Shapiro},
DOI={10.1515/9781400831050},
URL={http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1515/9781400831050}
}
@article{MR2853227,
AUTHOR={Desario, D. and Robins, S.},
TITLE={Generalized solid-angle theory for real polytopes},
JOURNAL={Q. J. Math.},
FJOURNAL={The Quarterly Journal of Mathematics},
VOLUME={62},
YEAR={2011},
NUMBER={4},
PAGES={1003--1015},
ISSN={0033-5606},
MRCLASS={52A38},
MRNUMBER={2853227},
MRREVIEWER={Dmitry Ryabogin},
DOI={10.1093/qmath/hap030},
URL={http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1093/qmath/hap030}
}
%%%%%%%%%%%%%%%from Daniela aug/17
@Article{Balas1975,
author="Balas, E.",
title="Facets of the knapsack polytope",
journal="Mathematical Programming",
year="1975",
month="Dec",
day="01",
volume="8",
number="1",
pages="146--164",
abstract="A necessary and sufficient condition is given for an inequality with coefficients 0 or 1 to define a facet of the knapsack polytope, i.e., of the convex hull of 0--1 points satisfying a given linear inequality. A sufficient condition is also established for a larger class of inequalities (with coefficients not restricted to 0 and 1) to define a facet for the same polytope, and a procedure is given for generating all facets in the above two classes. The procedure can be viewed as a way of generating cutting planes for 0--1 programs.",
issn="1436-4646",
doi="10.1007/BF01580440",
url="https://doi.org/10.1007/BF01580440"
}
@Article{Wolsey1975,
author="Wolsey, L.A.",
title="Faces for a linear inequality in 0--1 variables",
journal="Mathematical Programming",
year="1975",
month="Dec",
day="01",
volume="8",
number="1",
pages="165--178",
abstract="Given a linear inequality in 0--1 variables we attempt to obtain the faces of the integer hull of 0--1 feasible solutions. For the given inequality we specify how faces of a variety of lower-dimensional inequalities can be raised to give full-dimensional faces. In terms of a set, called a ``strong cover'', we obtain necessary and sufficient conditions for any inequality with 0--1 coefficients to be a face, and characterize different forms that the integer hull must take.",
issn="1436-4646",
doi="10.1007/BF01580441",
url="https://doi.org/10.1007/BF01580441"
}
@Article{Atamturk2005,
author="Atamt{\"u}rk, A.",
title="Cover and Pack Inequalities for (Mixed) Integer Programming",
journal="Annals of Operations Research",
year="2005",
month="Oct",
day="01",
volume="139",
number="1",
pages="21--38",
abstract="We review strong inequalities for fundamental knapsack relaxations of (mixed) integer programs. These relaxations are the 0-1 knapsack set, the mixed 0-1 knapsack set, the integer knapsack set, and the mixed integer knapsack set. Our aim is to give a unified presentation of the inequalities based on covers and packs and highlight the connections among them. The focus of the paper is on recent research on the use of superadditive functions for the analysis of knapsack polyhedra.",
issn="1572-9338",
doi="10.1007/s10479-005-3442-1",
url="https://doi.org/10.1007/s10479-005-3442-1"
}
@article{Gu1998,
author = {Z. Gu and G.L. Nemhauser and M.W.P. Savelsbergh},
title = {Lifted Cover Inequalities for 0-1 Integer Programs: Computation},
journal = {INFORMS Journal on Computing},
volume = {10},
number = {4},
pages = {427-437},
year = {1998},
doi = {10.1287/ijoc.10.4.427},
URL = {
https://doi.org/10.1287/ijoc.10.4.427
},
eprint = {
https://doi.org/10.1287/ijoc.10.4.427
}
,
abstract = { We investigate the algorithmic and implementation issues related to the effective and efficient use of lifted cover inequalities and lifted GUB cover inequalities in a branch and cut algorithm for 0-1 integer programming. We have tried various strategies on several test problems and we identify the best ones for use in practice. }
}
@Article{Hammer1975,
author="Hammer, P.L.
and Johnson, E.L.
and Peled, U. N.",
title="Facet of regular 0--1 polytopes",
journal="Mathematical Programming",
year="1975",
month="Dec",
day="01",
volume="8",
number="1",
pages="179--206",
abstract="The role of 0--1 programming problems having monotone or regular feasible sets was pointed out in [6]. The solution sets of covering and of knapsack problems are examples of monotone and of regular sets respectively. Some connections are established between prime implicants of a monotone or a regular Boolean function$\beta$ on the one hand, and facets of the convex hullH of the zeros of$\beta$ on the other. In particular (Corollary 2) a necessary and sufficient condition is given for a constraint of a covering problem to be a facet of the corresponding integer polyhedron. For any prime implicantP of$\beta$, a nonempty familyF(P) of facets ofH is constructed. Proposition 17 gives easy-to-determine sharp upper bounds for the coefficients of these facets when$\beta$ is regular. A special class of prime implicants is described for regular functions and it is shown that for anyP in this class,F(P) consists of one facet ofH, and this facet has 0--1 coefficients. Every nontrivial facet ofH with 0--1 coefficients is obtained from this class.",
issn="1436-4646",
doi="10.1007/BF01580442",
url="https://doi.org/10.1007/BF01580442"
}
@article{BalasZemel1978,
ISSN = {00361399},
URL = {http://www.jstor.org/stable/2100862},
abstract = {In this paper we give easily computable best upper and lower bounds on the coefficients of facets of the knapsack polytope associated with minimal covers. For some coefficients the upper bounds are equal to the lower bounds; for the others the two bounds differ by 1. We give a necessary and sufficient condition for all lower bounds to be equal to the corresponding upper bounds, i.e. for the facet associated with the given minimal cover to be unique. Also, we define a partial order on the set of minimal covers and show that all facets associated with minimal covers can be obtained from weak covers; but that each facet obtainable from several ordered minimal covers is easiest to compute from the strongest one. Further, we characterize the class of all facets associated with minimal covers, and show that the facets obtainable by Padberg's sequential lifting procedure are precisely those members of the class which have integer coefficients for a certain right-hand side. We then give a procedure for generating the other (simultaneously) lifted facets, which have fractional coefficients for the same right-hand side.},
author = {E. Balas and E. Zemel},
journal = {SIAM Journal on Applied Mathematics},
number = {1},
pages = {119-148},
publisher = {Society for Industrial and Applied Mathematics},
title = {Facets of the Knapsack Polytope from Minimal Covers},
volume = {34},
year = {1978}
}
@article{Zemel1989,
author = {E. Zemel},
title = {Easily Computable Facets of the Knapsack Polytope},
journal = {Mathematics of Operations Research},
volume = {14},
number = {4},
pages = {760-764},
year = {1989},
doi = {10.1287/moor.14.4.760},
URL = {
https://doi.org/10.1287/moor.14.4.760
},
eprint = {
https://doi.org/10.1287/moor.14.4.760
}
,
abstract = { It is known that facets and valid inequalities for the knapsack polytope P can be obtained by lifting a simple inequality derived from each minimal cover. We study the computational complexity of such lifting. In particular, we show that the task of computing a lifted facet can be accomplished in O(ns) where s ��?n is the cardinality of the minimal cover. Also, for a lifted inequality with integer coefficients, we show that the dual tasks of recognizing whether the inequality is valid for P or is a facet of P can be done within the same time bound. }
}
#################from Haesol Sept 17/17
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@incollection {MR1842881,
AUTHOR = {Gauvin, Jacques},
TITLE = {Formulae for the sensitivity analysis of linear programming
problems},
BOOKTITLE = {Approximation, optimization and mathematical economics
({P}ointe-\`a-{P}itre, 1999)},
PAGES = {117--120},
PUBLISHER = {Physica, Heidelberg},
YEAR = {2001},
MRCLASS = {90C31 (90C05)},
MRNUMBER = {1842881},
}
@book{MR2253203,
AUTHOR={Gray, A. and Abbena, E. and Salamon, S.},
TITLE={Modern differential geometry of curves and surfaces with {M}athematica{$^\circledR$}},
SERIES={Studies in Advanced Mathematics},
EDITION={Third},
PUBLISHER={Chapman {\&} Hall/CRC, Boca Raton, FL},
YEAR={2006},
PAGES={xxiv+984},
ISBN={978-1-58488-448-4; 1-58488-448-7},
MRCLASS={53-01 (53-04 53A04 53A05 65D18)},
MRNUMBER={2253203}
}
@article{MR2048490,
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VOLUME={5},
YEAR={2004},
NUMBER={1},
PAGES={Article 14, 21},
ISSN={1443-5756},
MRCLASS={90C22 (15A39 90C53)},
MRNUMBER={2048490}
}
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and polyhedra},
NOTE={ACM Symposium on Computational Geometry (North Conway, NH, 1991)},
JOURNAL={Discrete Comput. Geom.},
FJOURNAL={Discrete \{\&} Computational Geometry. An International Journal of
Mathematics and Computer Science},
VOLUME={8},
YEAR={1992},
NUMBER={3},
PAGES={295--313},
ISSN={0179-5376},
MRCLASS={68U05 (52B55 65Y25)},
MRNUMBER={1174359},
MRREVIEWER={Henk J. A. M. Heijmans},
DOI={10.1007/BF02293050},
URL={http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF02293050}
}
@article{MR3453429,
AUTHOR={Goberna, M.A. and Jeyakumar, V. and Li, G. and Linh, N.},
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NUMBER={1},
PAGES={67--73},
ISSN={0167-6377},
MRCLASS={90C25 (90C15 90C31)},
MRNUMBER={3453429},
DOI={10.1016/j.orl.2015.11.011},
URL={http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.orl.2015.11.011}
}
@article{GORISSEN2015124,
title={A practical guide to robust optimization},
journal="Omega",
volume="53",
number="",
pages="124 - 137",
year="2015",
issn="0305-0483",
doi="http://dx.doi.org/10.1016/j.omega.2014.12.006",
url="http://www.sciencedirect.com/science/article/pii/S0305048314001698",
author={Gorissen, B. L. and Yanikoglu, I. and D. den Hertog},
keywords={Robust optimization}
}
@article {MR3566918,
AUTHOR = {Kocvara, Michal and Nesterov, Yurii and Xia, Yu},
TITLE = {A subgradient method for free material design},
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FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {26},
YEAR = {2016},
NUMBER = {4},
PAGES = {2314--2354},
ISSN = {1052-6234},
MRCLASS = {90C90 (90-08 90C06 90C25 90C30)},
MRNUMBER = {3566918},
MRREVIEWER = {Kurt Marti},
URL = {https://doi.org/10.1137/15M1019660},
}
@article {MR3375674,
AUTHOR = {Xia, Yu},
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JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {30},
YEAR = {2015},
NUMBER = {4},
PAGES = {769--803},
ISSN = {1055-6788},
MRCLASS = {90C25 (90C06 90C20 90C22 90C51)},
MRNUMBER = {3375674},
MRREVIEWER = {Baha M. Alzalg},
URL = {https://doi.org/10.1080/10556788.2014.990452},
}
@article {MR3175497,
AUTHOR = {Xia, Yu and McNicholas, Paul D.},
TITLE = {A gradient method for the monotone fused least absolute
shrinkage and selection operator},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {29},
YEAR = {2014},
NUMBER = {3},
PAGES = {463--483},
ISSN = {1055-6788},
MRCLASS = {62J07 (65C60 90C90)},
MRNUMBER = {3175497},
URL = {https://doi.org/10.1080/10556788.2013.801970},
}
@article {MR3071865,
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FJOURNAL = {Mathematical Programming},
VOLUME = {140},
YEAR = {2013},
NUMBER = {1, Ser. B},
PAGES = {125--161},
ISSN = {0025-5610},
MRCLASS = {90C25 (68Q17 90C47)},
MRNUMBER = {3071865},
MRREVIEWER = {Dana Simian},
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}
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AUTHOR = {Nesterov, Yurii and Xia, Yu},
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YEAR = {2013},
NUMBER = {3},
PAGES = {543--563},
ISSN = {1055-6788},
MRCLASS = {90C51 (90C60)},
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URL = {https://doi.org/10.1007/s10957-010-9777-z},
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MRCLASS = {90C22 (65K05 90C51 90C60)},
MRNUMBER = {2294050},
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}
@incollection {MR2029443,
AUTHOR = {Alizadeh, F. and Xia, Yu},
TITLE = {The {$Q$} method for the second-order cone programming},
BOOKTITLE = {Topics in applied and theoretical mathematics and computer
science},
SERIES = {Math. Comput. Sci. Eng.},
PAGES = {208--213},
PUBLISHER = {WSEAS, Athens},
YEAR = {2001},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2029443},
}
##############################
###extra for daniela/marcia/fei jan/18
@incollection {gallo,
author="Gallo, G.
and Hammer, P. L.
and Simeone, B.",
editor="Padberg, M. W.",
title="Quadratic knapsack problems",
bookTitle="Combinatorial Optimization",
year="1980",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="132--149",
abstract="The quadratic knapsack (QK) model naturally arises in a
variety of problems in operations research, statistics and
combinatorics. Some ``upper planes'' for the QK problem are derived, and
their different uses in a branch-and-bound scheme for solving such a
problem are discussed. Some theoretical results concerning the class of
all upper planes, as well as extensive computational experience, are
reported.",
isbn="978-3-642-00802-3",
doi="10.1007/BFb0120892",
url="https://doi.org/10.1007/BFb0120892"
}
@incollection{Chaillou89,
author="Chaillou, P.
and Hansen, P.
and Mahieu, Y.",
editor="Simeone, Bruno",
title="Best network flow bounds for the quadratic knapsack problem",
bookTitle="Combinatorial Optimization: Lectures given at the 3rd Session
of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Como,
Italy, August 25--September 2, 1986",
year="1989",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="225--235",
abstract="A Lagrangean relaxation of the quadratic knapsack problem is
studied. It is shown, among other properties, that the best value of the
Lagrangean multiplier, and hence the best bound for the original
problem, can be determined in at most n?1 applications of a maximum
flow algorithm to a network with n+2 vertices and n+m arcs, where n and
m denote the numbers of variables and of quadratic terms. A
branch-and-bound algorithm using this result is presented and
computational experience is reported on.",
isbn="978-3-540-46810-3",
doi="10.1007/BFb0083467",
url="https://doi.org/10.1007/BFb0083467"
}
@article{Billionnet14,
title = "Linear programming for the 0-1 quadratic knapsack problem",
journal = "European Journal of Operational Research ",
volume = "92",
number = "2",
pages = "310-325",
year = "1996",
note = "",
issn = "0377-2217",
doi = "http://dx.doi.org/10.1016/0377-2217(94)00229-0",
url =
"http://www.sciencedirect.com/science/article/pii/0377221794002290",
author = "A. Billionnet and F. Calmels",
}
@article{Caprara99,
author = {A. Caprara and D. Pisinger and P. Toth},
title = {Exact Solution of the Quadratic Knapsack Problem},
journal = {INFORMS Journal on Computing},
volume = {11},
number = {2},
pages = {125-137},
year = {1999},
doi = {10.1287/ijoc.11.2.125},
URL = {http://dx.doi.org/10.1287/ijoc.11.2.125},
eprint = {http://dx.doi.org/10.1287/ijoc.11.2.125}
}
@article{doi:10.1002/wics.1344, author = {B.A. Turlach and S.J. Wright}, title = {Quadratic programming}, journal = {Wiley Interdisciplinary Reviews: Computational Statistics}, volume = {7}, number = {2}, pages = {153-159}, keywords = {optimization, quadratic programming, interior-point algorithms, conditional-gradient algorithms, active-set methods}, doi = {10.1002/wics.1344}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/wics.1344}, eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/wics.1344}, abstract = {Optimization problems in which a quadratic objective function is optimized subject to linear constraints on the parameters are known as quadratic programming problems (QPs). This focus article reviews algorithms for convex QPs (in which the objective is a convex function) and provides pointers to various online resources about QPs. WIREs Comput Stat 2015, 7:153��?59. doi: 10.1002/wics.1344 This article is categorized under: Algorithms and Computational Methods > Quadratic and Nonlinear Programming} }
@article{BillionnetFS99,
author = {A. Billionnet and
A. Faye and
{\'{E}}. Soutif},
title = {A new upper bound for the 0-1 quadratic knapsack
problem},
journal = {European Journal of Operational Research},
volume = {112},
number = {3},
pages = {664--672},
year = {1999},
url = {http://dx.doi.org/10.1016/S0377-2217(97)00414-1},
doi = {10.1016/S0377-2217(97)00414-1},
timestamp = {Thu, 06 Jan 2011 10:08:41 +0100},
biburl =
{http://dblp2.uni-trier.de/rec/bib/journals/eor/BillionnetFS99},
bibsource = {dblp computer science bibliography, http://dblp.org}
}
@article{L79,
year={1979},
journal={{IEEE} Transactions on Information Theory},
volume={25},
number={1},
title={ On the shannon capacity of a graph},
author={Lov\'asz, L.},
pages={1-7}
}
@Article{SF02,
author="Sherali, H.D.
and Fraticelli, Barbara M. P.",
title="Enhancing RLT relaxations via a new class of semidefinite cuts",
journal="Journal of Global Optimization",
year="2002",
month="Jan",
day="01",
volume="22",
number="1",
pages="233--261",
abstract="In this paper, we propose a mechanism to tighten
Reformulation-Linearization Technique (RLT) based relaxations for
solving nonconvex programming problems by importing concepts from
semidefinite programming (SDP), leading to a new class of semidefinite
cutting planes. Given an RLT relaxation, the usual nonnegativity
restrictions on the matrix of RLT product variables is replaced by a
suitable positive semidefinite constraint. Instead of relying on
specific SDP solvers, the positive semidefinite stipulation is
re-written to develop a semi-infinite linear programming representation
of the problem, and an approach is developed that can be implemented
using traditional optimization software. Specifically, the infinite set
of constraints is relaxed, and members of this set are generated as
needed via a separation routine in polynomial time. In essence, this
process yields an RLT relaxation that is augmented with valid
inequalities, which are themselves classes of RLT constraints that we
call semidefinite cuts. These semidefinite cuts comprise a relaxation of
the underlying semidefinite constraint. We illustrate this strategy by
applying it to the case of optimizing a nonconvex quadratic objective
function over a simplex. The algorithm has been implemented in C++,
using CPLEX callable routines, and two types of semidefinite
restrictions are explored along with several implementation strategies.
Several of the most promising lower bounding strategies have been
implemented within a branch-and-bound framework. Computational results
indicate that the cutting plane algorithm provides a significant
tightening of the lower bound obtained by using RLT alone. Moreover,
when used within a branch-and-bound framework, the proposed lower bound
significantly reduces the effort required to obtain globally optimal
solutions.",
issn="1573-2916",
doi="10.1023/A:1013819515732",
url="https://doi.org/10.1023/A:1013819515732"
}
@article{Pisinger2007,
author = {D. Pisinger},
title = "The quadratic knapsack problem, a survey",
journal = "Discrete Applied Mathematics",
volume = "155",
number = "5",
pages = "623 - 648",
year = "2007",
issn = "0166-218X",
doi = "https://doi.org/10.1016/j.dam.2006.08.007",
url =
"http://www.sciencedirect.com/science/article/pii/S0166218X06003878",
author = "David Pisinger",
keywords = "Quadratic knapsack problem, Upper bounds, Approximation
algorithms, Semidefinite programming, Valid inequalities"
}
@ARTICLE{Witzgall,
author = {{Witzgall}, C.},
title = "{Mathematical methods of site selection for Electronic
Message Systems (EMS)}",
journal = {Technical Report, NBS Internal Report},
keywords = {Messages, Network Synthesis, Systems Engineering,
Telecommunication, Cost Analysis, Linear Programming, Radio Relay
Systems},
year = 1975,
adsurl = {http://adsabs.harvard.edu/abs/1975STIN...7618321W},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{Michelon96,
title = "Lagrangean methods for the 0-1 Quadratic Knapsack Problem ",
journal = "European Journal of Operational Research ",
volume = "92",
number = "2",
pages = "326 - 341",
year = "1996",
note = "",
issn = "0377-2217",
doi = "http://dx.doi.org/10.1016/0377-2217(94)00286-X",
url =
"http://www.sciencedirect.com/science/article/pii/037722179400286X",
author = "P. Michelon and L. Veillieux",
keywords = "Nonlinear integer programming",
keywords = "Lagrangean methods",
keywords = "Branch-and-bound algorithm "
}
@Article{Cunha2016,
author="Cunha, J.O.
and Simonetti, L.
and Lucena, A.",
title="Lagrangian heuristics for the Quadratic Knapsack Problem",
journal="Computational Optimization and Applications",
year="2016",
month="Jan",
day="01",
volume="63",
number="1",
pages="97--120",
abstract="This paper investigates two Lagrangian heuristics for the
Quadratic Knapsack Problem. They originate from distinct linear
reformulations of the problem and follow the traditional approach of
generating Lagrangian dual bounds and then using their corresponding
solutions as an input to a primal heuristic. One Lagrangian heuristic,
in particular, is a Non-Delayed Relax-and-Cut algorithm. Accordingly, it
differs from the other heuristic in that it dualizes valid inequalities
on-the-fly, as they become necessary. The algorithms are computationally
compared here with two additional heuristics, taken from the literature.
Comparisons being carried out over problem instances up to twice as
large as those previously used. Three out of the four algorithms,
including the Lagrangian heuristics, are CPU time intensive and
typically return very good quality feasible solutions. A certificate of
that being given by the equally good Lagrangian dual bounds we generate.
Finally, this paper is intended as a contribution towards the
investigation of more elaborated heuristics to the problem, an area that
has been barely investigated so far.",
issn="1573-2894",
doi="10.1007/s10589-015-9763-3",
url="https://doi.org/10.1007/s10589-015-9763-3"
}
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author="Scheiderer, C.",
title="Sums of squares on real algebraic surfaces",
journal="manuscripta mathematica",
year="2006",
month="April",
day="01",
volume="119",
number="4",
pages="395--410",
}
@inproceedings{permenterparrilo2012,
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author={Permenter, F. and Parrilo, P.A},
booktitle={Decision and Control (CDC), 2012 IEEE 51st Annual
Conference on},
pages={1871--1876},
year={2012},
organization={IEEE}
}
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title = {Recovery of a mixture of Gaussians by sum-of-norms clustering},
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note = {Arxiv link: http://arxiv.org/abs/1902.07137},
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pages={459--494},
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##############################extra from Haesol
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YEAR = {2014},
PAGES = {xii+456},
ISBN = {978-3-319-11007-3; 978-3-319-11008-0},
MRCLASS = {90-01 (90C10)},
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MRREVIEWER = {Marcin Anholcer},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-319-11008-0},
}
#########################from Fei Wang for singlecell paper 2018
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MRCLASS = {90C25 (65K05 90C20)},
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### additions by Yair Censor Dec. 14/22
% \bibitem{ACJ2018}R. Aharoni, Y. Censor and Z. Jiang, Finding a best
% approximation pair of points for two polyhedra, \textit{Computational
% Optimization and Applications,} \textbf{71} (2018), 509--523.
@ARTICLE{ACJ2018,
author = {Aharoni, R. and Censor, Y. and Jiang, Z.},
title = {Finding a best approximation pair of points for two polyhedra},
journal = {Comput. Optim. Appl.},
fjournal = {Computational Optimization and Applications. An International Journal},
volume = {71},
year = {2018},
number = {2},
pages = {509--523},
issn = {0926-6003},
mrclass = {65K05 (52B12 90C20 90C25)},
mrnumber = {3860941},
doi = {10.1007/s10589-018-0021-3},
url = {https://doi.org/10.1007/s10589-018-0021-3},
}
% \bibitem{HLWB} H.H. Bauschke, \newblock The approximation of fixed
% points of compositions of nonexpansive mappings in Hilbert space,
% \newblock \textit{J. Math. Anal. Appl.} \textbf{202} (1996), 150--159.
@ARTICLE{HLWB,
author = {Bauschke, H.H.},
title = {The approximation of fixed points of compositions of nonexpansive mappings in {H}ilbert space},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {202},
year = {1996},
number = {1},
pages = {150--159},
issn = {0022-247X},
mrclass = {47H10 (47H17)},
mrnumber = {1402593},
mrreviewer = {Xie Ping Ding},
doi = {10.1006/jmaa.1996.0308},
url = {https://doi.org/10.1006/jmaa.1996.0308},
}
% \bibitem{BauschkeBorwein1996jour} H.H. Bauschke and J.M. Borwein,
% \newblock On projection algorithms for solving convex feasibility
% problems. \newblock \textit{SIAM Review} \textbf{38} (1996), 367--426.
@ARTICLE{BauschkeBorwein1996jour,
author = {Bauschke, H.H. and Borwein, J.M.},
title = {On projection algorithms for solving convex feasibility problems},
journal = {SIAM Rev.},
fjournal = {SIAM Review. A Publication of the Society for Industrial and Applied Mathematics},
volume = {38},
year = {1996},
number = {3},
pages = {367--426},
issn = {0036-1445},
mrclass = {90C25 (47N10 49M45 65J10)},
mrnumber = {1409591},
mrreviewer = {F. Deutsch},
doi = {10.1137/S0036144593251710},
url = {https://doi.org/10.1137/S0036144593251710},
}
% \bibitem{bauschke2017} H.H. Bauschke and P.L. Combettes, \newblock
% \textit{Convex Analysis and Monotone Operator Theory in Hilbert Spaces},
% 2nd edition. Springer, Berlin (2017). \newblock
@BOOK{bauschke2017,
author = {Bauschke, H.H. and Combettes, P.L.},
title = {Convex analysis and monotone operator theory in {H}ilbert spaces},
series = {CMS Books in Mathematics/Ouvrages de Math\'{e}matiques de la SMC},
edition = {Second},
note = {With a foreword by H\'{e}dy Attouch},
publisher = {Springer, Cham},
year = {2017},
pages = {xix+619},
isbn = {978-3-319-48310-8; 978-3-319-48311-5},
mrclass = {49-02 (41A65 46B20 46C05 47H05 90C25)},
mrnumber = {3616647},
doi = {10.1007/978-3-319-48311-5},
url = {https://doi.org/10.1007/978-3-319-48311-5},
}
% \bibitem{bauschke-on-ACJ-2022}H.H. Bauschke, S. Shambhavi and X.
% Wang, Finding best approximation pairs for two intersections of closed
% convex sets, \textit{Computational Optimization and Applications,}
% \textbf{81} (2022): 289--308.
@ARTICLE{bauschke-on-ACJ-2022,
author = {Bauschke, H.H. and Singh, S. and Wang, X.},
title = {Finding best approximation pairs for two intersections of closed convex sets},
journal = {Comput. Optim. Appl.},
fjournal = {Computational Optimization and Applications. An International Journal},
volume = {81},
year = {2022},
number = {1},
pages = {289--308},
issn = {0926-6003},
mrclass = {65K05 (47H09 65K10 90C25)},
mrnumber = {4359472},
doi = {10.1007/s10589-021-00324-0},
url = {https://doi.org/10.1007/s10589-021-00324-0},
}
% \bibitem{dijkstra} J.P. Boyle and R.L. Dykstra, \newblock A method
% for finding projections onto the intersection of convex sets in Hilbert
% spaces, \newblock in: Dykstra, R., Robertson, T., Wright, F.T. (eds),
% \textit{Advances in Order Restricted Statistical Inference}. Lecture
% Notes in Statistics, vol. \textbf{37}. Springer, New York, NY, USA
% (1986), 28--47.
@INCOLLECTION{dijkstra,
author = {Boyle, J.P. and Dykstra, R.L.},
title = {A method for finding projections onto the intersection of convex sets in {H}ilbert spaces},
booktitle = {Advances in order restricted statistical inference ({I}owa {C}ity, {I}owa, 1985)},
series = {Lect. Notes Stat.},
volume = {37},
pages = {28--47},
publisher = {Springer, Berlin},
year = {1986},
mrclass = {49A27 (46N05 49D30 65D99 90C25 90C48)},
mrnumber = {0875647},
doi = {10.1007/978-1-4613-9940-7\_3},
url = {https://doi.org/10.1007/978-1-4613-9940-7_3},
}
% \bibitem{censor-comp-LAA-2006}Censor, Y.: Computational acceleration
% of projection algorithms for the linear best approximation problem,
% \textit{Linear Algebra and its Applications,} \textbf{416}, (2006),
% 111--123.
@ARTICLE{censor-comp-LAA-2006,
author = {Censor, Y.},
title = {Computational acceleration of projection algorithms for the linear best approximation problem},
journal = {Linear Algebra Appl.},
fjournal = {Linear Algebra and its Applications},
volume = {416},
year = {2006},
number = {1},
pages = {111--123},
issn = {0024-3795},
mrclass = {90C25 (65F30)},
mrnumber = {2232923},
doi = {10.1016/j.laa.2005.10.006},
url = {https://doi.org/10.1016/j.laa.2005.10.006},
}
% \bibitem{nisenbaum}Y. Censor and A. Nisenbaum, String-averaging methods
% for best approximation to common fixed point sets of operators: the
% finite and infinite cases, \textit{Fixed Point Theory and Algorithms
% for Sciences and Engineering} 2021:9, (2021).
@ARTICLE{nisenbaum,
author = {Censor, Y. and Nisenbaum, A.},
title = {String-averaging methods for best approximation to common fixed point sets of operators: the finite and infinite cases},
journal = {Fixed Point Theory Algorithms Sci. Eng.},
fjournal = {Fixed Point Theory and Algorithms for Sciences and Engineering},
year = {2021},
pages = {Paper No. 9, 21},
mrclass = {47J25 (47H09 47H10)},
mrnumber = {4239845},
doi = {10.1186/s13663-021-00694-4},
url = {https://doi.org/10.1186/s13663-021-00694-4},
}
% \bibitem{censor-zenios-book}Y. Censor and S.A. Zenios, \textit{Parallel
% Optimization: Theory, Algorithms, and Applications}, Oxford University
% Press, New York, NY, USA, 1997.
@BOOK{censor-zenios-book,
author = {Censor, Y. and Zenios, S.A.},
title = {Parallel optimization},
series = {Numerical Mathematics and Scientific Computation},
note = {Theory, algorithms, and applications, With a foreword by George B. Dantzig},
publisher = {Oxford University Press, New York},
year = {1997},
pages = {xxviii+539},
isbn = {0-19-510062-X},
mrclass = {90-02 (65Y05 90C30)},
mrnumber = {1486040},
mrreviewer = {Ignacy Kaliszewski},
}
% \bibitem{cheney-goldstein1959}W. Cheney and A.A. Goldstein, Proximity
% maps for convex sets, \textit{Proceedings of the American Mathematical
% Society,} \textbf{10} (1959), 448--450.
@ARTICLE{cheney-goldstein1959,
author = {Cheney, W. and Goldstein, A.A.},
title = {Proximity maps for convex sets},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {10},
year = {1959},
pages = {448--450},
issn = {0002-9939},
mrclass = {46.00 (52.00)},
mrnumber = {0105008},
mrreviewer = {Ky Fan},
doi = {10.2307/2032864},
url = {https://doi.org/10.2307/2032864},
}
% \bibitem{hard-1999}P.L. Combettes and P. Bondon, Hard-constrained
% inconsistent signal feasibility problems, \textit{IEEE Transactions
% on Signal Processing}, \textbf{47} (1999), 2460--2468.
% \bibitem{deutsch-book}F. Deutsch, \textit{Best Approximation in Inner
% Product Spaces}, Springer-Verlag, New York, 2001.
@BOOK{deutsch-book,
author = {Deutsch, F.},
title = {Best approximation in inner product spaces},
series = {CMS Books in Mathematics/Ouvrages de Math\'{e}matiques de la SMC},
volume = {7},
publisher = {Springer-Verlag, New York},
year = {2001},
pages = {xvi+338},
isbn = {0-387-95156-3},
mrclass = {41-02 (41A29 41A65 46C05 46N40 47A50)},
mrnumber = {1823556},
mrreviewer = {G\"{u}nther N\"{u}rnberger},
doi = {10.1007/978-1-4684-9298-9},
url = {https://doi.org/10.1007/978-1-4684-9298-9},
}
% \bibitem{Haugazeau}Y. Haugazeau, \textit{Sur les In´equations Variationnelles
% et la Minimisation de Fonctionnelles Convexes}, th`ese de doctorat,
% Universit´e de Paris, 1968.
% \bibitem{Hildreth}C. Hildreth, A quadratic programming procedure,
% \textit{Naval Research Logistics Quarterly,} \textbf{4} (1957), 79--85,
% Erratum, \textit{Naval Research Logistics Quarterly,} \textbf{4} (1957),
% 361.
@ARTICLE{Hildreth,
author = {Hildreth, C.},
title = {A quadratic programming procedure},
journal = {Naval Res. Logist. Quart.},
fjournal = {Naval Research Logistics Quarterly},
volume = {4},
year = {1957},
pages = {79--85},
issn = {0028-1441},
mrclass = {90.0X},
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url = {https://doi.org/10.1002/nav.3800040113},
}
% \bibitem{LC-hildreth1980}A. Lent, Y. Censor, Extensions of Hildreth’s
% row-action method for quadratic programming, \textit{SIAM Journal
% on Control and Optimization,} \textbf{18} (1980), 444--454.
@ARTICLE{LC-hildreth1980,
author = {Lent, A. and Censor, Y.},
title = {Extensions of {H}ildreth's row-action method for quadratic programming},
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issn = {0363-0129},
mrclass = {90C20 (65K05)},
mrnumber = {0579552},
mrreviewer = {Jacques A. Ferland},
doi = {10.1137/0318033},
url = {https://doi.org/10.1137/0318033},
}
% \bibitem{lopez-2010}G. López, V. Martin-Márquez and H. Xu, Halpern's
% iteration for nonexpansive mappings, \textit{Contemporary Mathematics}
% \textbf{513} (2010), 211--231.
@INCOLLECTION{lopez-2010,
author = {L\'{o}pez, G. and Mart\'{\i}n-M\'{a}rquez, V. and Xu, H.-K.},
title = {Halpern's iteration for nonexpansive mappings},
booktitle = {Nonlinear analysis and optimization {I}. {N}onlinear analysis},
series = {Contemp. Math.},
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year = {2010},
mrclass = {47H09 (47H10 47J25 65J15)},
mrnumber = {2668248},
doi = {10.1090/conm/513/10085},
url = {https://doi.org/10.1090/conm/513/10085},
}
% \bibitem{LIF-2003}Y. Xiao, Y. Censor, D. Michalski and J.M. Galvin,
% The least-intensity feasible solution for aperture-based inverse planning
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% (2003), 183--203.
@phdthesis{Haugazeau,
author = "Haugazeau, Y.",
year = 1968,
title = "Sur les In\'equations Variationnelles
et la Minimisation de Fonctionnelles Convexes",
school = "University de Paris"
}
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PAGES = {2460--2468},
}
@article {LIF-2003,
AUTHOR = {Y. Xiao and Y. Censor and D. Michalski and J.M. Galvin},
TITLE = {The least-intensity feasible solution for aperture-based
inverse planning in radiation therapy},
JOURNAL = {Annals of Operations Research},
VOLUME = {119},
YEAR = {2003},
PAGES = {183--203},
}
% \bibitem{ART4}G.T. Herman and A. Lent, A family of iterative quadratic
% optimization algorithms for pairs of inequalities, with applications
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@ARTICLE{ART4,
author = {Herman, G.T. and Lent, A.},
title = {A family of iterative quadratic optimization algorithms for pairs of inequalties, with application in diagnostic radiology},
note = {Mathematical programming in use},
journal = {Math. Programming Stud.},
fjournal = {Mathematical Programming Study},
number = {9},
year = {1978},
pages = {15--29},
issn = {0303-3929},
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}
.matt.bib 0000640 0010230 0010230 00000000056 13667550156 013401 0 ustar hwolkowi hwolkowicz # This file contains papers from Matt Dong
.ming.bib 0000640 0010230 0010230 00000025154 13157540106 013360 0 ustar hwolkowi hwolkowicz # This file contains bib entries related to work with/by Ming Li
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/qap.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
#
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
%AAAAAAAAAA
@techreport {AnsBri:00,
author = "K.M. ANSTREICHER and N.W. BRIXIUS",
title = "Solving quadratic assignment problems using
convex quadratic programming relaxations",
institution = "University of Iowa",
address = " Iowa City, IA",
year = "2000"
}
#BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
@article {MR2401646,
AUTHOR = {Bhatia, R. and Kittaneh, F.},
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YEAR = {2008},
NUMBER = {8-9},
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ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (47A30 47A63)},
MRNUMBER = {2401646 (2009f:15041)},
MRREVIEWER = {Omar Hirzallah},
}
@article {MR1751140,
AUTHOR = {Bhatia, R. and Kittaneh, F.},
TITLE = {Notes on matrix arithmetic-geometric mean inequalities},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {308},
YEAR = {2000},
NUMBER = {1-3},
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ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A45 (15A42 15A60 47A30)},
MRNUMBER = {1751140 (2001a:15023)},
MRREVIEWER = {Yao Zhang},
DOI = {10.1016/S0024-3795(00)00048-3},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/S0024-3795(00)00048-3},
}
@article {MR0195869,
AUTHOR = {Blakley, G. R. and Dixon, R. D.},
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MRNUMBER = {0195869 (33 \#4065)},
MRREVIEWER = {L. Mirsky},
}
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author = "B.C. Carlson",
title = "The Logarithmic Mean",
journal = "Amer. Math. Monthly",
volume = "79",
year = "1972",
pages = "615--618"
}
#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
@article{furuichi,
author = "S. Furuichi",
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journal = "J. Math. Ineq.",
volume = "5",
year = "2011",
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@article {MR2680259,
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JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {433},
YEAR = {2010},
NUMBER = {7},
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CODEN = {LAAPAW},
MRCLASS = {15A15 (15B48 47A63)},
MRNUMBER = {2680259 (2011f:15022)},
MRREVIEWER = {Mohammad Sal Moslehian},
DOI = {10.1016/j.laa.2010.05.011},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2010.05.011},
}
#KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
@article{hk,
author = "F. Kittaneh",
title = "Matrix {Y}oung inequalities for the {H}ilbert-{S}chmidt norm",
journal = "Linear Algebra Appl.",
volume = "308",
year = "2000",
pages = "77--84"
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@article{kit,
author = "F. Kittaneh and Y. Manasrah",
title = "Improved {Y}oung and {H}einz inequalities for matrices",
journal = "J. Math. Anal. Appl.",
volume = "36",
year = "2010",
pages = "262--269"
}
@article{km,
author = "F. Kittaneh and Y. Manasrah",
title = "Reverse {Y}oung and {H}einz inequalities for matrices",
journal = "Linear and Multilinear Algebra",
volume = "to appear",
year = "2011",
pages = "--"
}
#LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
@article {MR2111514,
AUTHOR = {Lei, T.-G. and Woo, C.-W. and Zhang, F.},
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ISSN = {1081-3810},
MRCLASS = {15A42 (47A63)},
MRNUMBER = {2111514 (2005m:15049)},
MRREVIEWER = {Alan L. Andrew},
}
#MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
@book{mpf,
author = "D.S. Mitrinovi\'{c} and J. P\u{e}cari\'{c} and A.M. Fink",
title = "Classical and New Inequalities in Analysis",
publisher = "Kluwer Academic Publishers",
address = "Dordrecht/Boston/London",
year = "1993"
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#NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN
@article {MR2641518,
AUTHOR = {Niezgoda, M.},
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MRCLASS = {15A18},
MRNUMBER = {2641518 (2011c:15039)},
MRREVIEWER = {Raphael Loewy},
DOI = {10.1080/03081080801980408},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/03081080801980408},
}
@article {MR2401644,
AUTHOR = {Niezgoda, M.},
TITLE = {Some remarks on normal maps with applications to
eigenvalues
and singular values of matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {428},
YEAR = {2008},
NUMBER = {8-9},
PAGES = {2116--2129},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18 (15A42)},
MRNUMBER = {2401644 (2009d:15023)},
MRREVIEWER = {Gl{\'o}ria Cravo},
DOI = {10.1016/j.laa.2007.11.016},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2007.11.016},
}
@article {MR2310427,
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FJOURNAL = {Journal of Convex Analysis},
VOLUME = {14},
YEAR = {2007},
NUMBER = {1},
PAGES = {35--48},
ISSN = {0944-6532},
MRCLASS = {15A45},
MRNUMBER = {2310427 (2008b:15074)},
}
@article {MR2503308,
AUTHOR = {Niezgoda, M.},
TITLE = {A unified treatment of certain majorization results on
eigenvalues and singular values of matrices},
JOURNAL = {Forum Math.},
FJOURNAL = {Forum Mathematicum},
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YEAR = {2009},
NUMBER = {2},
PAGES = {333--346},
ISSN = {0933-7741},
CODEN = {FOMAEF},
MRCLASS = {15A42 (15A18 15A30 15A48)},
MRNUMBER = {2503308 (2009m:15022)},
MRREVIEWER = {Ilse C. F. Ipsen},
DOI = {10.1515/FORUM.2009.015},
URL = {http://dx.doi.org/10.1515/FORUM.2009.015},
}
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journal = "Amer. Math. Monthly",
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year = "1974",
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author = "Burkard, R.E.",
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booktitle = mp,
editors = "Cottle, R.W. and Kelmanson, M.L. and Korte, B.",
publisher = "Elsevier Publishers B.V. North-Holland",
pages = "53--68",
year = "1984"
}
@conference{BalMaz80,
author = "Balas, E. and Mazzola, J.B.",
title = "Quadratic 0-1 programming by a new linearization",
booktitle = "Proceedings of the TIMS/ORSA",
organization = "TIMS/ORSA",
address = "{Washington D.c.}",
month = "May",
year = "1980"
}
#SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
@article {MR2318667,
AUTHOR = {Stephen, T.},
TITLE = {A majorization bound for the eigenvalues of some graph
{L}aplacians},
JOURNAL = {SIAM J. Discrete Math.},
FJOURNAL = {SIAM Journal on Discrete Mathematics},
VOLUME = {21},
YEAR = {2007},
NUMBER = {2},
PAGES = {303--312 (electronic)},
ISSN = {0895-4801},
MRCLASS = {05C50 (05C07)},
MRNUMBER = {2318667 (2008c:05117)},
MRREVIEWER = {Lihua Feng},
DOI = {10.1137/040619594},
URL = {http://dx.doi.org/10.1137/040619594},
}
#TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
@article {MR2242456,
AUTHOR = {Tao, Y.},
TITLE = {More results on singular value inequalities of matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {416},
YEAR = {2006},
NUMBER = {2-3},
PAGES = {724--729},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42},
MRNUMBER = {2242456 (2007d:15037)},
MRREVIEWER = {Ching-Hua Chang},
DOI = {10.1016/j.laa.2005.12.017},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2005.12.017},
}
#ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
@book {MR1691203,
AUTHOR = {Zhang, F.},
TITLE = {Matrix theory},
SERIES = {Universitext},
NOTE = {Basic results and techniques},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
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MRCLASS = {15-01},
MRNUMBER = {1691203},
}
@article {MR1859654,
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FJOURNAL = {Mathematical Inequalities \& Applications},
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YEAR = {2001},
NUMBER = {4},
PAGES = {481--490},
ISSN = {1331-4343},
MRCLASS = {15A45},
MRNUMBER = {1859654 (2002h:15025)},
MRREVIEWER = {I. Gavrea},
}
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}
@STRING{ S = "STURM, J.F."} @STRING{ SZ = "STURM, J.F. and
Zhang, S."} @STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and
ZHANG, S."} @STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
############################################# # The following
is from V. Balakrishnan on SDP and systems control @string{
csm= {IEEE Control Syst.\ Mag.} } @string{ tac=
{IEEE Trans.\ Aut.\ Control} } @string{ scl= {Syst.\
Control Letters} } @string{ arc= {Automation and
Remote Control} } @string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
############################################# @string{ ijrnc=
{Int.\ J.\ Robust and Nonlinear Control} } @string{ acc=
{Proc.\ American Control Conf.} } @string{ aut=
{Automatica} } @string{ tcst= {IEEE Trans.\ Control
Sys.\ Tech.} } @string{ csm= {IEEE Control Syst.\
Mag.} } @string{ tac= {IEEE Trans.\ Aut.\ Control}
} @string{ scl= {Syst.\ Control Letters} } @string{
arc= {Automation and Remote Control} } @string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{ ieep= {IEE Proc.} }
#############################################
############################################# ##from Bertsimis
############################################# @string{ICTA =
{IEE Proc. -Control Theory Appl.}} @String{IROS="IEEE Int.
Conf. on Intelligent Robot Systems"} @String{ICRA="Proc. IEEE
Int. Conf. on Robotics and Automation"} @String{IJRR = {Int. J.
of Robot. Res.}} @String{ITSMC ={IEEE Trans. Syst., Man,
Cybern.}} @String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on
Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals - ####
changed in master.bib first @string{toms = "ACM Transactions
on Mathematical Software"} @STRING{aer = "American Economic
Review"} @STRING{ajae = "Americal Journal of Agricultural
Economics"} @STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."} @STRING{AMERlong = "The
American Statistician"} @STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"} @string{adm
= "Ann. Discrete Math."} @string{ADMlong = "Annals of Discrete
Mathematics"} @STRING{ams = "Annals of Mathematical
Statistics"} @STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."} @STRING{ APNUMlong =
"Applied Numerical Mathematics"} @string{bell = "The Bell
System Technical Journal"} @string{ coap = "Comput. Optim.
Appl."} @string{ coa = "Comput. Optim. Appl."} @string{
COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"} @string{cacm
= "Communications of the ACM"} @STRING{ cor = "Comput. Oper.
Res." } @STRING{ CORlong = "Computer and Operations
Research" } @string{comp = "Computing"} STRING{
CRAS = "Compt Rend Acad. Sci." } @STRING{
CM = "Contemporary Mathematics" } @STRING{ C
= "Cybernetics" } @STRING{cmj =
"Czechoslovak Math. J."} @STRING{dam = "Discrete Applied
Mathematics"} @STRING{dm = "Discrete Mathematics"} @STRING{
ECPE = "Eng. Costs and Prod. Econ." } @string{electjc =
"Electronic J. Combinatorics"} @string{ela = "Electronic J.
Linear Algebra"} @string{elalong = "The Electronic JOURNAL
of Linear Algebra"} @STRING{ejc = "European Journal of
Combinatorics"} @STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@STRING{ glasgow = "Glasgow Math. J."} @STRING{ glasgowlong =
"Glasgow Mathematical Journal"} @string{jogo = "J. Global
Optim."} @string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"} @STRING{
IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"} @string{ijnme =
"International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"} @STRING{ JAMS = "J.
Australian Math. Soc."} @STRING{ JAMSlong = "J. of the
Australian Mathematical Society"} @string{ JCAM = {J. of
Comput. Appl. Mathem.}} @string{ JCAMlong = {J. of
Computational and Applied Mathematics}} @STRING{jacm = "J.
Assoc. Comput. Mach."} @STRING{JACMlong = "Journal of the
Association of Computing Machinery"} @string{jco = "J. Comb.
Optim."} @string{JCOlong = "Journal of Combinatorial
Optimization"} @STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"} @STRING{joflong= "Journal of
Finance"} @STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and
Applications"} @STRING{ JORS = "J. Oper. Res. Soc."
} @STRING{ JRAM = "J. f{\"u}r die reine und angewandte
{M}athematik"} @STRING{ JRC = "J. of Regional Science"
} @string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and
Applications"} @STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of
Standards"} @STRING{jrssa = "Journal of the Royal Statistical
Society: Series~A"} @string{laa = "Linear Algebra Appl."}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"} @STRING{ms
= "Management Sci."} @STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" } @string{mcomp =
"Math. Comp."} @string{MCOMPlong = "Mathematics of
Computation"} @STRING{ MP = "Math. Programming"
} @string{mprog = "Math. Programming"} @STRING{MPROGlong =
"Mathematical Programming"} @STRING{mp = "Math. Programming"}
@string{MPlong = {Mathematical Programming}} @STRING{mpa =
"Math. Programming, Series A"} @STRING{mps = "Math. Programming
Studies"} @STRING{mpb = "Math. Programming, Series B"} @STRING{
MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."} @STRING{ MORlong =
"Mathematics of Operations Research" } @STRING{mathz =
"Math. Z."} @STRING{ nrlq = "Naval Res. Logist. Quart."
} @STRING{ NRLQlong = "Naval Research Logistics Quarterly"
} @STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"} @STRING{ OPTI = "Optimization"
} @string{ oms = "Optim. Methods Softw."} @string{ OPSlong =
"Optimization Methods and Software"} @string{ornl = "Oak
Ridge National Laboratory"} @STRING{orl = "Operations Research
Letters"} @STRING{or = "Operations Research"} @STRING{jorlong =
"Journal of the Operations Research Society"} @STRING{jor =
"Oper. Res."} @STRING{jors = "Oper. Res."} @STRING{ ORQ =
"Operations Research Quarterly" } @STRING{pjm =
"Pacific Journal of Mathematics"} @string{pc = "Parallel
Computing"} @STRING{pams = "Proceedings of the American
Mathematical Society"} @STRING{rsue = "Regional Science and
Urban Economics"} @STRING{restud = "Review of Economics
Studies"} @STRING{ SIAM = "SIAM"
} @string{sijam = "SIAM J. Appl. Math."} @string{SIJAMlong
= "SIAM J. ON Applied Mathematics"} @STRING{siad = "SIAM J.
Algebraic Discrete Methods"} @STRING{SIADlong = "SIAM Journal
on Algebraic and Discrete Methods"} @string{sdma = "SIAM J.
Discrete Math."} @string{SDMAlong = "SIAM Journal on
Discrete Mathematics"} @string{SIAGOPT = "SIAG/OPT
Views-and-News"} @STRING{ SRev = "SIAM Review"
} @STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." } @STRING{ SJMA =
"SIAM J. Math. Anal." } @string{SJMAA = "SIAM J. Matrix Anal.
Appl."} @STRING{sijc = "SIAM J. on Computing"} @STRING{SIJClong
= "SIAM Journal on Computing"} @string{sico = "SIAM J.
Control Optim."} @string{SICOlong = "SIAM J. on Control and
Optimization"} @string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and
Applications"} @string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."} @STRING{SJNAlong = "SIAM
J. on Numerical Analysis"} @string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical
Computing"} @string{sir = "SIAM Review"} ### start strings
from Goemans @string{stoc95 = "Proc. of the 27th {ACM} Symp.
on Theory Comput."} @string{stoc97 = "Proc. of the 29th {ACM}
Symp. on Theory Comput."} @string{stoc98 = "Proc. of the 30th
{ACM} Symp. on Theory Comput."} @string{stoc99 = "Proc. of the
31st {ACM} Symp. on Theory Comput."} @string{focs97 = "Proc.
38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on Disc. Algs."}
### end strings from Goemans @STRING{tr = "Transportation
Research"} @STRING{ts = "Transportation Science"} @STRING{tams
= "Transactions of the American Mathematical Society"} @STRING{
TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."} @STRING{UTILMATHlong =
"Utilitas Mathematica"}
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@article {MR0130159,
AUTHOR = {Walras, L{\'e}on},
TITLE = {\'{E}conomique et m\'ecanique},
JOURNAL = {Metroecon.},
VOLUME = {12},
YEAR = {1960},
PAGES = {3--13},
MRCLASS = {01.35},
MRNUMBER = {MR0130159 (24 \#A26)},
MRREVIEWER = {E. A. Robinson},
}
@inproceedings{1060601,
author = {Bruno Codenotti and Benton McCune and Kasturi Varadarajan},
title = {Market equilibrium via the excess demand function},
booktitle = {STOC '05: Proceedings of the thirty-seventh annual ACM symposium on Theory of computing},
year = {2005},
isbn = {1-58113-960-8},
pages = {74--83},
location = {Baltimore, MD, USA},
doi = {http://doi.acm.org/10.1145/1060590.1060601},
publisher = {ACM},
address = {New York, NY, USA},
}
@article {MR0103119,
AUTHOR = {Arrow, Kenneth J. and Block, H. D. and Hurwicz, Leonid},
TITLE = {On the stability of the competitive equilibrium. {II}},
JOURNAL = {Econometrica},
FJOURNAL = {Econometrica. Journal of the Econometric Society},
VOLUME = {27},
YEAR = {1959},
PAGES = {82--109},
ISSN = {0012-9682},
MRCLASS = {90.00},
MRNUMBER = {MR0103119 (21 \#1902)},
MRREVIEWER = {T. Haavelmo},
}
@article {MR0101822,
AUTHOR = {Arrow, Kenneth J. and Hurwicz, Leonid},
TITLE = {On the stability of the competitive equilibrium. {I}},
JOURNAL = {Econometrica},
FJOURNAL = {Econometrica. Journal of the Econometric Society},
VOLUME = {26},
YEAR = {1958},
PAGES = {522--552},
ISSN = {0012-9682},
MRCLASS = {90.00},
MRNUMBER = {MR0101822 (21 \#629)},
MRREVIEWER = {T. Haavelmo},
}
@article{154553,
author = {Liqun Qi},
title = {Convergence analysis of some algorithms for solving nonsmooth equations},
journal = {Math. Oper. Res.},
volume = {18},
number = {1},
year = {1993},
issn = {0364-765X},
pages = {227--244},
publisher = {INFORMS},
address = {Institute for Operations Research and the Management Sciences (INFORMS), Linthicum, Maryland, USA},
}
@article {MR0077069,
AUTHOR = {Arrow, Kenneth J. and Debreu, Gerard},
TITLE = {Existence of an equilibrium for a competitive economy},
JOURNAL = {Econometrica},
FJOURNAL = {Econometrica. Journal of the Econometric Society},
VOLUME = {22},
YEAR = {1954},
PAGES = {265--290},
ISSN = {0012-9682},
MRCLASS = {90.0X},
MRNUMBER = {MR0077069 (17,985e)},
MRREVIEWER = {S. Malmquist},
}
@ARTICLE{4218359,
title={A Survey of Dynamic Spectrum Access: Signal Processing and Networking Perspectives},
author={Qing Zhao and Swami, A.},
journal={Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on},
year={15-20 April 2007},
volume={4},
number={},
pages={IV-1349-IV-1352},
keywords={signal processing, subscriber loopsdynamic spectrum access, hierarchical access model, networking perspectives, open sharing model, signal processing},
doi={10.1109/ICASSP.2007.367328},
ISSN={1520-6149}, }
@ARTICLE{Ye2007,
title={Competitive Communication Spectrum Economy and Equilibrium (Draft)},
author={Yinyu Ye},
url={ http://www.stanford.edu/~yyye/spectrumpricing1.pdf},
year={22 October 2007}, }
@article{1288329,
author = {Zhi-Quan Luo and Jong-Shi Pang},
title = {Analysis of iterative waterfilling algorithm for multiuser power control in digital subscriber lines},
journal = {EURASIP J. Appl. Signal Process.},
volume = {2006},
number = {1},
year = {uary},
issn = {1110-8657},
pages = {80--80},
doi = {http://dx.doi.org/10.1155/ASP/2006/24012},
publisher = {Hindawi Publishing Corp.},
address = {New York, NY, United States},
}
@ARTICLE{1391031,
title={Cognitive radio: brain-empowered wireless communications},
author={Haykin, S.},
journal={Selected Areas in Communications, IEEE Journal on},
year={Feb. 2005},
volume={23},
number={2},
pages={ 201-220},
keywords={ channel estimation, cognitive systems, learning (artificial intelligence), power control, radio spectrum management, software radio, stochastic games brain-empowered wireless communication, channel-state estimation, cognitive radio, interference temperature, machine learning, predictive modeling, radio electromagnetic spectrum, radio-scene analysis, software-defined radio, stochastic games, transmit-power control, understanding-by-building},
doi={10.1109/JSAC.2004.839380},
ISSN={0733-8716}, }
@ARTICLE{1632106,
title={Optimal multiuser spectrum balancing for digital subscriber lines},
author={Cendrillon, R. and Wei Yu and Moonen, M. and Verlinden, J. and Bostoen, T.},
journal={Communications, IEEE Transactions on},
year={May 2006},
volume={54},
number={5},
pages={ 922-933},
abstract={ Crosstalk is a major issue in modern digital subscriber line (DSL) systems such as ADSL and VDSL. Static spectrum management, which is the traditional way of ensuring spectral compatibility, employs spectral masks that can be overly conservative and lead to poor performance. This paper presents a centralized algorithm for optimal spectrum balancing in DSL. The algorithm uses the dual decomposition method to optimize spectra in an efficient and computationally tractable way. The algorithm shows significant performance gains over existing dynamics spectrum management (DSM) techniques, e.g., in one of the cases studied, the proposed centralized algorithm leads to a factor-of-four increase in data rate over the distributed DSM algorithm iterative waterfilling.},
keywords={ crosstalk, digital subscriber lines, frequency allocation, iterative methods DSL, crosstalk, digital subscriber lines, dynamic spectrum management, iterative waterfilling, optimum multiuser spectrum balancing, static spectrum management},
doi={10.1109/TCOMM.2006.873096},
ISSN={0090-6778}, }
@ARTICLE{1007390,
title={Distributed multiuser power control for digital subscriber lines },
author={Wei Yu and Ginis, G. and Cioffi, J.M.},
journal={Selected Areas in Communications, IEEE Journal on},
year={Jun 2002},
volume={20},
number={5},
pages={1105-1115},
abstract={This paper considers the multiuser power control problem in a frequency-selective interference channel. The interference channel is modeled as a noncooperative game, and the existence and uniqueness of a Nash equilibrium are established for a two-player version of the game. An iterative water-filling algorithm is proposed to efficiently reach the Nash equilibrium. The iterative water-filling algorithm can be implemented distributively without the need for centralized control. It implicitly takes into account the loop transfer functions and cross couplings, and it reaches a competitively optimal power allocation by offering an opportunity for loops to negotiate the best use of power and frequency with each other. When applied to the upstream power backoff problem in very-high bit-rate digital subscriber lines and the downstream spectral compatibility problem in asymmetric digital subscriber lines, the new power control algorithm is found to give a significant performance improvement when compared with existing methods },
keywords={digital subscriber lines, distributed control, game theory, iterative methods, power control, spectral analysis, telecommunication control, transfer functionsCDMA system, Nash equilibrium, asymmetric digital subscriber lines, cross coupling, distributed multiuser power control, downstream spectral compatibility, frequency-selective interference channel, frequency-selective multiuser interference channel, iterative water-filling algorithm, loop transfer functions, noncooperative game, optimal power allocation, power control algorithm, two-player game, upstream power backoff, very-high bit-rate digital subscriber lines},
doi={10.1109/JSAC.2002.1007390},
ISSN={0733-8716}, }
@inproceedings{1070443,
author = {Bruno Codenotti and Sriram Pemmaraju and Kasturi Varadarajan},
title = {On the polynomial time computation of equilibria for certain exchange economies},
booktitle = {SODA '05: Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms},
year = {2005},
isbn = {0-89871-585-7},
pages = {72--81},
location = {Vancouver, British Columbia},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@ARTICLE{983324,
title={Efficient power control via pricing in wireless data networks},
author={Saraydar, C.U. and Mandayam, N.B. and Goodman, D.J.},
journal={Communications, IEEE Transactions on},
year={2002},
month={Feb},
volume={50},
number={2},
pages={291-303},
keywords={costing, data communication, distributed control, game theory, power control, quality of service, radio networks, tariffs, telecommunication controlNash equilibrium, Pareto improvement, QoS, base station, distributed implementation, distributed power control, efficient power control, game theory, heavily loaded system, noncooperative power control game, power control algorithms, pricing function, quality of service, radio resource management, transmit power pricing, user utilities, voice communications, wireless communications systems, wireless data networks, wireless data services, wireless terminal},
doi={10.1109/26.983324},
ISSN={0090-6778},
}
@inproceedings{nash50,
author = {Nash, John F. },
title = {Equilibrium points in n-person games},
booktitle = {Proceedings of the National Academy of Sciences of the United States of America},
year = {1950},
}
@book{1296179,
author = {Noam Nisan and Tim Roughgarden and Eva Tardos and Vijay V. Vazirani},
title = {Algorithmic Game Theory},
year = {2007},
isbn = {0521872820},
publisher = {Cambridge University Press},
address = {New York, NY, USA},
}
@ARTICLE{Goemans95,
author = {Michel X. Goemans and David P. Williamson},
title = {Improved approximation algorithms for Maximum Cut and Satisfiability problems using semidefinite programming},
journal = {Journal of the ACM},
year = {1995},
volume = {42},
pages = {1115--1145}
}
@incollection{ramesh07,
author = "Ramesh Johari",
TITLE = {The Price of Anarchy and the Design of Scalable Resource Allocation Mechanisms},
BOOKTITLE = {Algorithmic Game Theory},
PAGES = {543--567},
PUBLISHER = {Cambridge University Press},
ADDRESS = {New York, NY, USA},
YEAR = {2007},
}
@inproceedings{1132545,
author = {Sung-woo Cho and Ashish Goel},
title = {Pricing for fairness: distributed resource allocation for multiple objectives},
booktitle = {STOC '06: Proceedings of the thirty-eighth annual ACM symposium on Theory of computing},
year = {2006},
isbn = {1-59593-134-1},
pages = {197--204},
location = {Seattle, WA, USA},
doi = {http://doi.acm.org/10.1145/1132516.1132545},
publisher = {ACM},
address = {New York, NY, USA},
}
@article{635223,
author = {Yuichi Asahiro and Refael Hassin and Kazuo Iwama},
title = {Complexity of finding dense subgraphs},
journal = {Discrete Appl. Math.},
volume = {121},
number = {1-3},
year = {2002},
issn = {0166-218X},
pages = {15--26},
doi = {http://dx.doi.org/10.1016/S0166-218X(01)00243-8},
publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
}
@article{feige,
author = {Feige, Uriel and MirrokniV, Vahab S. and Vondrak, Jan},
title = {Maximizing Non-Monotone Submodular Functions},
booktitle = {FOCS '07: Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science},
year = {2007},
isbn = {0-7695-3010-9},
pages = {461--471},
doi = {http://dx.doi.org/10.1109/FOCS.2007.40},
publisher = {IEEE Computer Society},
address = {Washington, DC, USA},
}
@INPROCEEDINGS{Deng97algorithmsand,
author = {Xiaotie Deng and Toshihide Ibaraki and Hiroshi Nagamochi},
title = {Algorithms and complexity in combinatorial optimization games},
booktitle = {In SODA},
year = {1997},
pages = {720--729}
}
@inproceedings{Schulz07,
author = {Schulz, Andreas S. and Uhan, Nelson A. },
title = {Encouraging Cooperation in Sharing Supermodular Costs},
booktitle = {APPROX-RANDOM},
year = {2007},
pages = {271-285},
ee = {http://dx.doi.org/10.1007/978-3-540-74208-1_20},
crossref = {DBLP:conf/approx/2007},
bibsource = {DBLP, http://dblp.uni-trier.de}
}
@ARTICLE{Bertsimas02solvingconvex,
author = {Dimitris Bertsimas and Santosh Vempala},
title = {Solving convex programs by random walks},
journal = {Journal of the ACM},
year = {2002},
volume = {51},
pages = {540--556}
}
@ARTICLE{Chen01optimalreplenishment,
author = {Jinfa Chen and David D. Yao and Shaohui Zheng},
title = {Optimal replenishment and rework with multiple unreliable supply sources},
journal = {Operations Research},
year = {2001},
volume = {49},
pages = {430--443}
}
@inproceedings{1070484,
author = {Retsef Levi and Robin Roundy and David B. Shmoys},
title = {A constant approximation algorithm for the one-warehouse multi-retailer problem},
booktitle = {SODA '05: Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms},
year = {2005},
isbn = {0-89871-585-7},
pages = {365--374},
location = {Vancouver, British Columbia},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@article{JiaweiZhang07162008,
author = {Zhang, Jiawei},
title = {{Cost Allocation for Joint Replenishment Models}},
journal = {OPERATIONS RESEARCH},
pages = {opre.1070.0491},
doi = {10.1287/opre.1070.0491},
year = {2008},
abstract = {We consider the one-warehouse multiple retailer inventory model with a submodular joint setup cost function. The objective of this model is to determine an inventory replenishment policy that minimizes the long-run average system cost over an infinite time horizon. Although the optimal policy for this problem is still unknown, a class of easy-to-implement power-of-two policies are 98% effective. This paper focuses on how the cost, under an optimal power-of-two policy, should be allocated to the retailers. This question generates an interesting cooperative game. We prove that this cooperative game has a nonempty core. The key to our result is a strong duality theorem for the one-warehouse multiple retailer problem under power-of-two policies.
},
URL = {http://or.journal.informs.org/cgi/content/abstract/opre.1070.0491v1}
}
@inproceedings{1376663,
author = {Nan Wang and Srinivasan Parthasarathy and Kian-Lee Tan and Anthony K. H. Tung},
title = {CSV: visualizing and mining cohesive subgraphs},
booktitle = {SIGMOD '08: Proceedings of the 2008 ACM SIGMOD international conference on Management of data},
year = {2008},
isbn = {978-1-60558-102-6},
pages = {445--458},
location = {Vancouver, Canada},
doi = {http://doi.acm.org/10.1145/1376616.1376663},
publisher = {ACM},
address = {New York, NY, USA},
}
@INPROCEEDINGS{Lehmann01combinatorialauctions,
author = {Benny Lehmann and Daniel Lehmann and Noam Nisan},
title = {Combinatorial Auctions with Decreasing Marginal Utilities},
booktitle = {In ACM conference on electronic commerce},
year = {2001},
pages = {18--28}
}
@ARTICLE{Feige97thedense,
author = {Uriel Feige and Guy Kortsarz and David Peleg},
title = {The Dense k-subgraph problem},
journal = {Algorithmica},
year = {1997},
volume = {29},
pages = {2001}
}
@inproceedings{1398957,
author = {Kortsarz,, G. and Peleg,, D.},
title = {On choosing a dense subgraph},
booktitle = {SFCS '93: Proceedings of the 1993 IEEE 34th Annual Foundations of Computer Science},
year = {1993},
isbn = {0-8186-4370-6},
pages = {692--701},
doi = {http://dx.doi.org/10.1109/SFCS.1993.366818},
publisher = {IEEE Computer Society},
address = {Washington, DC, USA},
}
@MISC{Srivastav_findingdense,
author = {Anand Srivastav and Katja Wolf},
title = {Finding Dense Subgraphs with Mathematical Programming},
year = {}
}
@article{1327774,
author = {Yang,, Wan-Shiou and Dia, Jia-Ben},
title = {Discovering cohesive subgroups from social networks for targeted advertising},
journal = {Expert Syst. Appl.},
volume = {34},
number = {3},
year = {2008},
issn = {0957-4174},
pages = {2029--2038},
doi = {http://dx.doi.org/10.1016/j.eswa.2007.02.028},
publisher = {Pergamon Press, Inc.},
address = {Tarrytown, NY, USA},
}
@article {Frank27,
author = "Frank K.A.",
title = "Identifying cohesive subgroups",
journal = "Social Networks",
volume = "17",
year = "January 1995",
abstract = "Cohesive subgroups have always represented an important construct for sociologists who study individuals and organizations. In this article, I apply recent advances in the statistical modelling of social network data to the task of identifying cohesive subgroups from social network data. Further, through simulated data, I describe a process for obtaining the probability that a given sample of data could have been obtained from a network in which actors were no more likely to engage in interaction with subgroup members than with members of other subgroups. I obtain the probability for a specific data set, and then, through further simulations, develop a model which can be applied to future data sets. Also through simulated data, I characterize the extent to which a simple hill-climbing algorithm recovers known subgroup memberships. I apply the algorithm to data indicating the extent of professional discussion among teachers in a high school, and I show the relationship between membership in cohesive subgroups and teachers' orientations towards teaching.
",
pages = "27-56(30)",
url = "http://www.ingentaconnect.com/content/els/03788733/1995/00000017/00000001/art00247",
doi = "doi:10.1016/0378-8733(94)00247-8"
}
@article {colin2007,
author = "Colin Stewart",
title = "Robust Conventions and the Structure of Social Networks",
journal = "working paper",
year = "2006",
url = "http://individual.utoronto.ca/colinstewart/robust-conventions.pdf"
}
@article{Everett2000397,
title = "Peripheries of cohesive subsets",
journal = "Social Networks",
volume = "21",
number = "4",
pages = "397 - 407",
year = "2000",
note = "",
issn = "0378-8733",
doi = "DOI: 10.1016/S0378-8733(99)00020-9",
url = "http://www.sciencedirect.com/science/article/B6VD1-3YHG8BC-5/2/c241bcca9d0ff653e66345aa71817cd6",
author = "Martin G. Everett and Stephen P. Borgatti"
}
@inproceedings{roughgarden,
author = {Roughgarden, Tim and Sundararajan, Mukund},
title = {New trade-offs in cost-sharing mechanisms},
booktitle = {STOC '06: Proceedings of the thirty-eighth annual ACM symposium on Theory of computing},
year = {2006},
isbn = {1-59593-134-1},
pages = {79--88},
location = {Seattle, WA, USA},
doi = {http://doi.acm.org/10.1145/1132516.1132528},
publisher = {ACM},
address = {New York, NY, USA},
}
@inproceedings{vondrak08,
author = {Vondrak, Jan},
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booktitle = {STOC '08: Proceedings of the 40th annual ACM symposium on Theory of computing},
year = {2008},
isbn = {978-1-60558-047-0},
pages = {67--74},
location = {Victoria, British Columbia, Canada},
doi = {http://doi.acm.org/10.1145/1374376.1374389},
publisher = {ACM},
address = {New York, NY, USA},
}
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publisher = {ACM},
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}
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author = {Scarf, Herbert E.},
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}
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volume = {17},
year = {2008},
issn = {978-0-387-77246-2},
pages = {159--185},
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publisher = {Springer New York},
}
@article{edmonds70,
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}
@INPROCEEDINGS{timKLS,
author = {Shuchi Chawla and Tim Roughgarden and Mukund Sundararajan},
title = {Optimal cost-sharing mechanisms for steiner forest problems},
booktitle = {In Proceedings of the 2nd Workshop on Internet and Network Economics (WINE},
year = {2006},
}
@inproceedings{KLS,
author = {K\"{o}nemann, Jochen and Leonardi, Stefano and Sch\"{a}fer, Guido},
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booktitle = {SODA '05: Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms},
year = {2005},
isbn = {0-89871-585-7},
pages = {612--619},
location = {Vancouver, British Columbia},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@article{bikhchandani97,
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volume={74},
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month={June},
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}
@article{chudak,
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address = {Philadelphia, PA, USA},
}
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@book{1296179,
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title = {Algorithmic Game Theory, Chapter 15},
year = {2007},
isbn = {0521872820},
publisher = {Cambridge University Press},
address = {New York, NY, USA},
}
@book{1296180,
author = {Nisan, Noam and Roughgarden, Tim and Tardos, Eva and Vazirani, Vijay V.},
title = {Algorithmic Game Theory, Chapter 11},
year = {2007},
isbn = {0521872820},
publisher = {Cambridge University Press},
address = {New York, NY, USA},
}
@inproceedings{swamy,
author = {Swamy,, Chaitanya and Shmoys,, David B.},
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publisher = {IEEE Computer Society},
address = {Washington, DC, USA},
}
@inproceedings{charikar,
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year = {2008},
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@article{1343211,
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publisher = {Elsevier Science Ltd.},
address = {Oxford, UK, UK},
}
@article{133783,
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year = {1992},
issn = {0030-364X},
pages = {564--573},
publisher = {INFORMS},
address = {Institute for Operations Research and the Management Sciences (INFORMS), Linthicum, Maryland, USA},
}
@ARTICLE{Snyder04facilitylocation,
author = {Lawrence V. Snyder},
title = {Facility location under uncertainty: A review},
journal = {IIE Transactions},
year = {2004},
volume = {38},
pages = {547--564}
}
@BOOK{RuszczynskiShapiro03,
editor = {A. Ruszczynski and Shapiro, A.},
title = {Stochastic Programming},
year = {2003},
volume = {10},
publisher = {Elsevier},
series = {{Handbooks in Operations Research and Management Science}}
}
@article{1122493,
author = {Swamy,, Chaitanya and Shmoys,, David B.},
title = {Approximation algorithms for 2-stage stochastic optimization problems},
journal = {SIGACT News},
volume = {37},
number = {1},
year = {2006},
issn = {0163-5700},
pages = {33--46},
doi = {http://doi.acm.org/10.1145/1122480.1122493},
publisher = {ACM},
address = {New York, NY, USA},
}
@inproceedings{1431059,
author = {Khandekar,, Rohit and Kortsarz,, Guy and Mirrokni,, Vahab and Salavatipour,, Mohammad R.},
title = {Two-Stage Robust Network Design with Exponential Scenarios},
booktitle = {ESA '08: Proceedings of the 16th annual European symposium on Algorithms},
year = {2008},
isbn = {978-3-540-87743-1},
pages = {589--600},
location = {Karlsruhe, Germany},
doi = {http://dx.doi.org/10.1007/978-3-540-87744-8_49},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@ARTICLE{Kleinberg97allocatingbandwidth,
author = {Jon Kleinberg and Yuval Rabani and Eva Tardos},
title = {Allocating Bandwidth for Bursty Connections},
journal = {SIAM J. Comput},
year = {1997},
volume = {30},
pages = {2000}
}
@article{331530,
author = {M\"{o}hring,, Rolf H. and Schulz,, Andreas S. and Uetz,, Marc},
title = {Approximation in stochastic scheduling: the power of LP-based priority policies},
journal = {J. ACM},
volume = {46},
number = {6},
year = {1999},
issn = {0004-5411},
pages = {924--942},
doi = {http://doi.acm.org/10.1145/331524.331530},
publisher = {ACM},
address = {New York, NY, USA},
}
@inproceedings{roughgarden07,
author = {Roughgarden, Tim and Sundararajan, Mukund},
title = {Optimal Efficiency Guarantees for Network Design Mechanisms},
booktitle = {IPCO '07: Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization},
year = {2007},
isbn = {978-3-540-72791-0},
pages = {469--483},
location = {Ithaca, NY, USA},
doi = {http://dx.doi.org/10.1007/978-3-540-72792-7_35},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@INPROCEEDINGS{boosted,
author = {Anupam Gupta and Martin Pal and R. Ravi and Amitabh Sinha},
title = {Boosted sampling: Approximation algorithms for stochastic optimization},
booktitle = {In Proceedings of the 36th Annual ACM Symposium on Theory of Computing},
year = {2004},
pages = {417--426}
}
@ARTICLE{Kleywegt01thesample,
author = {Anton J. Kleywegt and Alexander Shapiro and Tito Homem-de-mello},
title = {The sample average approximation method for stochastic discrete optimization},
journal = {SIAM Journal of Optimization},
year = {2001},
volume = {12},
pages = {479--502}
}
@inproceedings{1419513,
author = {Shmoys,, David B. and Sozio,, Mauro},
title = {Approximation Algorithms for 2-Stage Stochastic Scheduling Problems},
booktitle = {IPCO '07: Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization},
year = {2007},
isbn = {978-3-540-72791-0},
pages = {145--157},
location = {Ithaca, NY, USA},
doi = {http://dx.doi.org/10.1007/978-3-540-72792-7_12},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@inproceedings{1419541,
author = {Feige,, Uriel and Jain,, Kamal and Mahdian,, Mohammad and Mirrokni,, Vahab},
title = {Robust Combinatorial Optimization with Exponential Scenarios},
booktitle = {IPCO '07: Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization},
year = {2007},
isbn = {978-3-540-72791-0},
pages = {439--453},
location = {Ithaca, NY, USA},
doi = {http://dx.doi.org/10.1007/978-3-540-72792-7_33},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@INPROCEEDINGS{1530729, title={How to pay, come what may:
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@INPROCEEDINGS{946419, title={Distributionally robust discrete
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year={2001}, volume={4}, pages={3227-3228 vol.4},
doi={10.1109/ACC.2001.946419}, }
@article{CaE06, Author =
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@article{ericye, title = {Distributionally Robust Optimization
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@article{1400248,
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address = {Secaucus, NJ, USA},
}
@inproceedings{1060681,
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booktitle = {STOC '05: Proceedings of the thirty-seventh annual ACM symposium on Theory of computing},
year = {2005},
isbn = {1-58113-960-8},
pages = {610--618},
location = {Baltimore, MD, USA},
doi = {http://doi.acm.org/10.1145/1060590.1060681},
publisher = {ACM},
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}
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}
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}
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year = {2007},
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publisher = {Springer-Verlag New York, Inc.},
address = {Secaucus, NJ, USA},
}
@article{1657753,
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number = {4},
year = {2009},
issn = {0364-765X},
pages = {1008--1022},
doi = {http://dx.doi.org/10.1287/moor.1090.0419},
publisher = {INFORMS},
address = {Institute for Operations Research and the Management Sciences (INFORMS), Linthicum, Maryland, USA},
}
.psd.bib 0000640 0010230 0010230 00002272067 14560777476 013252 0 ustar hwolkowi hwolkowicz # The file .psdpriv.bib contains papers related to SDP.
# PLEASE do NOT use the file .psdpriv.bib in the latex bibl. line in latex file.
# The bib entries are combined with those in .publs.bib in .psd.bib
# Use the .psd.bib file and NOT .psdpriv.bib or .publs.bib
# This file is also available at:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
# as part of: Bibliographies on Mathematics
# Bibliography on Semidefinite Programming
# with URL http://liinwww.ira.uka.de/bibliography/Math/psd.html
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
###########
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@mastersthesis {Aarts:99,
author = "L. AARTS",
title = "Primal-Dual Search Directions in Semidefinite
Optimization",
school = "Delft University of Technology",
year = "1999"}
@article {MR98d:90100,
AUTHOR = {El Abdouni, B. and Thibault, L.},
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FJOURNAL = {Journal of Applied Analysis},
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YEAR = {1996},
NUMBER = {2},
PAGES = {183--201},
ISSN = {1425-6908},
MRCLASS = {90C29 (49J52)},
MRNUMBER = {98d:90100},
MRREVIEWER = {Tetsuzo Tanino},
}
@TECHREPORT {AdlerAliz:95,
author = "I. ADLER and F. Alizadeh",
title = "Primal-dual interior point algorithms for convex
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year = "1995",
institution = "Rutcor, Rutgers University",
address = " New Brunswick, NJ"
}
@article{AdlerMonteiro,
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title = {A geometric view of parametric linear
programming},
journal = {Algorithmica},
volume = 8,
pages = {161-176},
year = 1992}
@article {AgHeMc:88,
author = "J. AGLER and J.W. HELTON and S. McCULLOUGH",
title = "Positive semidefinite matrices with a given
sparsity pattern",
journal = laa,
year = "1988",
volume = "107",
number = "3",
pages = "101-149"
}
@article{214841,
author = {Alpert, C.J. and Kahng, A.B.},
title = {Recent directions in netlist partitioning: a survey},
journal = {Integr. VLSI J.},
volume = {19},
number = {1-2},
year = {1995},
issn = {0167-9260},
pages = {1--81},
doi = {http://dx.doi.org/10.1016/0167-9260(95)00008-4},
publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
}
@PHDTHESIS {Alhom:93,
author = "S. Al-Homidan",
title = "Hybrid methods for optimization problems
with positive semidefinite matrix constraints",
school = "University of Dundee",
year = "1993"}
@techreport {homidan:03,
author = "M.M. ALSHAHRANI and S. AL-HOMIDAN",
title = "New Formulations of the Hankel Matrix Approximation
Problem",
institution = "King Fahd University of Petroleum \& Minerals",
address = "Dhahran, Saudia Arabia",
year = "2003"
}
@techreport {ZhouLiWrightCandesMa:10,
author = "Z. Zhou and X. Li and J. Wright and E. Candes and
Y. Ma",
title = "Stable principal component pursuit",
institution = "UIUC",
address = "Urbana, IL",
year = "2010"
}
@article {homidan:06,
author = "S. AL-HOMIDAN and R. FLETCHER",
title = "Rationalizing Foot and Ankle
Measurements to Conform to a Rigid Body Model",
journal = "Computer Methods in
Biomechanics and Biomedical",
volume = "9",
number = "2",
pages = "103-111",
year = "2006"
}
@book {MR3887551,
AUTHOR = {Alfakih, Abdo Y.},
TITLE = {Euclidean distance matrices and their applications in rigidity
theory},
PUBLISHER = {Springer, Cham},
YEAR = {2018},
PAGES = {xiv+251},
ISBN = {978-3-319-97845-1; 978-3-319-97846-8},
MRCLASS = {15-02 (15A18 15B57 52C25)},
MRNUMBER = {3887551},
MRREVIEWER = {Ravindra B. Bapat},
DOI = {10.1007/978-3-319-97846-8},
URL = {https://doi.org/10.1007/978-3-319-97846-8},
}
@article {Alfak:00,
author = "A. Alfakih",
title = "Graph rigidity via {E}uclidean distance
matrices",
journal = laa,
year = "2000",
pages = "49-165",
number = "1-3",
volume = "310",
}
@PHDTHESIS {Al:91,
author = "F. Alizadeh",
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%FACES of CONE faces of cones
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International
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YEAR = {2007},
NUMBER = {3},
PAGES = {355--369},
ISSN = {0926-6003},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR2335100 (2008g:90071)},
MRREVIEWER = {Renata Sotirov},
DOI = {10.1007/s10589-007-9030-3},
URL = {http://dx.doi.org/10.1007/s10589-007-9030-3},
}
@article {MR1778431,
author = "B. Borchers",
TITLE = {C{S}{D}{P} 2.3 user's guide},
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FJOURNAL = {Optimization Methods and Software},
VOLUME = {11/12},
YEAR = {1999},
NUMBER = {1-4},
PAGES = {597--611},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {1 778 431},
note="projects.coin-or.org/Csdp",
}
@article {Borchers:99b,
author = "B. Borchers",
title = "{SDPLIB} 1.2, a library of semidefinite
programming test problems",
NOTE = {Interior point methods},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {11},
YEAR = {1999},
NUMBER = {1},
PAGES = {683--690},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {1 778 431},
}
@article{booth:731,
author = {M. Booth and P. Hackney and B. Harris and
C.R. Johnson and M. Lay and L.H. Mitchell and S.K.
Narayan and A. Pascoe and K. Steinmetz and B.D. Sutton and
W. Wang},
collaboration = {},
title = {On the Minimum Rank Among Positive Semidefinite Matrices with a
Given Graph},
publisher = {SIAM},
year = {2008},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = {30},
number = {2},
pages = {731-740},
keywords = {rank; positive semidefinite; graph of a matrix},
url = {http://link.aip.org/link/?SML/30/731/1},
doi = {10.1137/050629793}
}
@techreport {BotCsetnek:10,
author = "R.I.Bot and E.R.Csetnek",
title = "Error bound results for convex inequality systems
via conjugate duality",
institution = "Chemnitz University of Technology",
year = "2010",
address = "Chemnitz, Germany"
}
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author = "L. Vandenberghe and S. Boyd",
TITLE = {Applications of semidefinite programming},
note = {Proceedings of the Stieltjes Workshop on High Performance
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FJOURNAL = {Applied Numerical Mathematics. An IMACS J.},
VOLUME = {29(3)},
YEAR = {1999},
PAGES = {283--299},
ISSN = {0168-9274},
CODEN = {ANMAEL},
}
@incollection {MR99c:90143,
author = "L. Vandenberghe and S. Boyd",
TITLE = {Connections between semi-infinite and semidefinite programming},
BOOKTITLE = {Semi-infinite programming},
PAGES = {277--294},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1998},
}
@article {VanBoy:94,
author = "L. Vandenberghe and S. Boyd",
TITLE = {Semidefinite programming},
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FJOURNAL = {SIAM Review. A Publication of the Society for Industrial and
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VOLUME = {38},
YEAR = {1996},
NUMBER = {1},
PAGES = {49--95},
ISSN = {0036-1445},
CODEN = {SIREAD},
}
@article {VanBoy:93,
author = "L. Vandenberghe and S. Boyd",
TITLE = {A primal-dual potential reduction method for problems involving
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JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {69},
YEAR = {1995},
NUMBER = {1, Ser. B},
PAGES = {205--236},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
@INPROCEEDINGS {VanBoy:94b,
author = "L. Vandenberghe and S. Boyd",
title = "Positive Definite Programming",
booktitle = "Mathematical Programming: State of the Art, 1994",
year = "1994",
pages = "276-308",
publisher = "The University of Michigan" }
@inproceedings{VaB:93b,
author={L. Vandenberghe and S. Boyd},
title={A polynomial-time algorithm for determining quadratic
{L}yapunov functions for nonlinear systems},
booktitle = {Eur. Conf. Circuit Th. and Design},
year = {1993},
pages = {1065-1068}
}
@article {VBW:98,
AUTHOR = {Vandenberghe, L. and Boyd, S. and WU, S.-P.},
TITLE = {Determinant maximization with linear matrix inequality
constraints},
JOURNAL = simax,
FJOURNAL = {SIAM J. on Matrix Analysis and Applications},
VOLUME = {19},
YEAR = {1998},
NUMBER = {2},
PAGES = {499--533},
ISSN = {1095-7162},
}
@manual{VaB:94c,
title= {{SP}: Software for Semidefinite Programming.
User's Guide, {B}eta Version.},
author= {L. Vandenberghe and S. Boyd},
year= {1994},
organization= {K.U. Leuven and Stanford University},
month = oct
}
@book {BoB:91,
AUTHOR = {S. Boyd and C. H. BARRATT},
TITLE = {Linear Controller Design. Limits of Performance},
PUBLISHER = {Prentice-Hall},
YEAR = {1991},
}
@manual{BoW:95,
title= {{SDPSOL:} A Parser/Solver for
Semidefinite Programs with Matrix Structure.
User's Guide, Version Alpha.},
author= {S. Boyd and S. WU},
year= {1995},
organization= {Stanford University},
month = mar
}
@techreport {XiaoBoyd:03,
author = "L. XIAO and S. Boyd",
title = "Fast Linear Iterations for Distributed Averaging",
institution = "Stanford University",
year = "2003",
address = "Stanford, CA"
}
@article {BoGhFeBa:93,
author={S. Boyd and V. Balakrishnan and
E. Feron and L. {El~{G}haoui}},
title={Control system analysis and synthesis via linear matrix
inequalities},
journal = {{Proc. ACC}},
volume = {},
year={1993},
pages= {2147-2154}
}
@BOOK {BoGhFeBa:94,
author={S. Boyd and L. {El~{G}haoui} and E. Feron and
V. Balakrishnan},
TITLE = {Linear matrix inequalities in system and control theory},
SERIES = {SIAM Studies in Applied Mathematics},
VOLUME = {15},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1994},
PAGES = {xii+193},
ISBN = {0-89871-334-X},
MRCLASS = {93-02 (15A39 49N10 65F05 93C05 93D05)},
MRNUMBER = {1284712 (95f:93001)},
MRREVIEWER = {M. M. Konstantinov},
}
@book {MR2000h:93004,
TITLE = {Advances in linear matrix inequality methods in control},
EDITOR = {El Ghaoui, L. and Niculescu, S.-I.},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2000},
PAGES = {xviii+372},
ISBN = {0-89871-438-9},
MRCLASS = {93-06 (90C22 90C90 93B36 93B40)},
MRNUMBER = {2000h:93004},
}
@incollection {cvx,
AUTHOR = {Grant, M. and Boyd, S. and Ye, Y.},
TITLE = {Disciplined convex programming},
BOOKTITLE = {Global optimization},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {84},
PAGES = {155--210},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2006},
MRCLASS = {90C25},
MRNUMBER = {2206954 (2006j:90062)},
DOI = {10.1007/0-387-30528-9_7},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/0-387-30528-9_7},
}
@misc{cvxunpubl,
author = {M. Grant and S. Boyd},
title = {{CVX}: {MATLAB} Software for Disciplined Convex
Programming, version 1.21},
howpublished = {\url{http://cvxr.com/cvx}},
month = apr,
year = 2011
}
@incollection{gb08,
author = {M. Grant and S. Boyd},
title = {Graph implementations for nonsmooth convex programs},
booktitle = {Recent Advances in Learning and Control},
series = {Lecture Notes in Control and Information Sciences},
editor = {V. Blondel and S. Boyd and H. Kimura},
publisher = {Springer-Verlag Limited},
pages = {95--110},
year = 2008,
note = {\url{http://stanford.edu/~boyd/graph_dcp.html}}
}
@article{boya,
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JOURNAL = " Int. J. Control",
VOLUME = "49",
NUMBER ="6",
YEAR = "1989",
PAGES = "2215--2240",
}
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author = "N. Brixius and F.A. Potra and R. Sheng",
title = "{SDPHA}: a matlab implementation of homogeneous
interior-point algorithms for semidefinite programming",
institution = "University of Iowa",
year = "1998",
address = "Iowa City, IA"}
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title = "Nonsymmetric Search Directions for Semidefinite Programming",
journal = siopt,
year = "1999",
volume = "9",
number = "4",
pages = "863 - 876"
}
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YEAR = {1976},
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PAGES = {231--238},
MRCLASS = {90C05 (52A20)},
MRNUMBER = {55 \#2121},
MRREVIEWER = {Jacques Dubois},
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MRREVIEWER = {J. Borwein},
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@techreport {BulloCortesLewisMartine:02,
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S. MARTINE",
title = "Computational problems for vector-valued quadratic
forms",
institution = "University of Twente",
year = "2002",
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author = "S. Burer",
title = "Semidefinite programming in the space of partial
positive semidefinite matrices",
institution = "Department of Management Sciences,
University of Iowa",
year = "2002",
address = "Iowa City, IA"
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institution = "Department of Computational and Applied Mathematics,
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year = "1999",
address = "Houston, Texas"
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@techreport {BurMontZhang:99b,
author = "S. Burer and R.D.C. Monteiro and Y. Zhang",
title = "Solving Semidefinite Programs via Nonlinear Programming
Part II: Interior Point Methods for a Subclass of SDPs",
institution = "Department of Computational and Applied Mathematics,
Rice University",
number = "TR99-23",
year = "1999",
address = "Houston, Texas"
}
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author = " P. BUTKOVIC and H. SCHNEIDER and S. SERGEEV",
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institution = "",
number = "math.RA/0604454",
year = "2006",
address = "arXiv.org"
}
%CCCCCC
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year = "2009",
institution = "MIT",
address = "Boston, MA",
number = "arXiv:0906.2220",
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VOLUME = {13},
YEAR = {2003},
NUMBER = {4},
PAGES = {960--985 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C33)},
MRNUMBER = {MR2005912 (2004m:90108)},
MRREVIEWER = {Ji-Ming Peng},
}
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ISSN = {0364-765X},
MRCLASS = {49J52 (65K05 90C22)},
MRNUMBER = {MR1886224 (2003a:49023)},
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@article{ito2018bbcpop,
title={BBCPOP: A Sparse Doubly Nonnegative Relaxation of Polynomial Optimization Problems with Binary, Box and Complementarity Constraints},
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YEAR = {2006},
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MRCLASS = {90C22 (90C20 90C51)},
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@techreport {Toh:03,
author = "K.C. Toh",
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iterative solver on the augmented systems",
institution = "Department of Mathematics,
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number = " ",
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address = "Singapore"
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@article{doi:10.1080/10556788.2019.1576176,
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%EEEEEEEEEEEEE
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###extra refs from El Ghaoui start
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###extra refs from El Ghaoui end
%FFFFFFFFFFFFFF
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% GGGGGGG
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# From MathSci search
------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
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year = "2012",
number = "arXiv:1308.6359",
institution= "University of Hong Kong",
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}
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address = "Toulouse, France",
year = "2010"
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%IIIIIIIIIIIIIIIIIIII
@preamble{
"\def\cprime{$'$} "
}
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PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1998},
MRCLASS = {15A42 (15A18 65F15)},
MRNUMBER = {1 689 433},
}
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MRCLASS = {65F15 (15A18)},
MRNUMBER = {2000d:65064},
MRREVR = {Marc Van Barel},
}
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MRREVR = {Mu Sheng Wei},
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MRREVR = {Ilse C. F. Ipsen},
}
@Article{Ito2018,
author="Ito, N.
and Kim, S.
and Kojima, M.
and Takeda, A.
and Toh, K.-C.",
title="Equivalences and differences in conic relaxations of combinatorial quadratic optimization problems",
journal="Journal of Global Optimization",
year="2018",
month="Jun",
day="18",
abstract="Various conic relaxations of quadratic optimization problems in nonnegative variables for combinatorial optimization problems, such as the binary integer quadratic problem, quadratic assignment problem (QAP), and maximum stable set problem have been proposed over the years. The binary and complementarity conditions of the combinatorial optimization problems can be expressed in several ways, each of which results in different conic relaxations. For the completely positive, doubly nonnegative and semidefinite relaxations of the combinatorial optimization problems, we discuss the equivalences and differences among the relaxations by investigating the feasible regions obtained from different representations of the combinatorial condition which we propose as a generalization of the binary and complementarity condition. We also study theoretically the issue of the primal and dual nondegeneracy, the existence of an interior solution and the size of the relaxations, as a result of different representations of the combinatorial condition. These characteristics of the conic relaxations affect the numerical efficiency and stability of the solver used to solve them. We illustrate the theoretical results with numerical experiments on QAP instances solved by SDPT3, SDPNAL+ and the bisection and projection method.",
issn="1573-2916",
doi="10.1007/s10898-018-0676-4",
url="https://doi.org/10.1007/s10898-018-0676-4"
}
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JJJJJJJJJJJJJJJJJJJ
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URL = {http://dx.doi.org/10.1109/FOCS.2011.25},
}
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Mathematical
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}
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author = "S. Jibrin",
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school = "Carleton University",
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YEAR = {2006},
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}
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author = "H. Jin",
title = "Scalable Sensor Localization Algorithms for
Wireless Sensor Networks",
institution = "Toronto University",
year = "2005",
address = "Toronto, Ontario, Canada"}
@techreport {JiPress:98,
author = "S. JIBRIN and I. PRESSMAN",
title = "Probabilistic algorithms for the detection
of nonredundant linear matrix inequality constraints",
institution = "Carleton University",
year = "1998",
address = "Ottawa, Ontario, Canada"}
@INCOLLECTION {Joh:48,
author = "F. JOHN",
title = "Extremum problems with inequalities as subsidiary
conditions",
booktitle = "Studies and Essays, Courant Anniversary Volume",
publisher ="Interscience",
year = "1948",
address = "New York",
pages = "187-204"}
@ARTICLE {joh:90,
author = "C.R. Johnson",
title = "Matrix completion problems: a survey",
journal = "Proceedings of Symposium in Applied Mathematics",
year = "1990",
volume = "40",
pages = "171-198" }
@ARTICLE {johKro:95,
author = "C.R. Johnson and B. KROSCHEL",
title = "Principal submatrices, geometric
multiplicities, and structured eigenvectors",
journal = simax,
year = "1995",
volume = "16",
pages = "1004-1012"}
@incollection {MR99c:15040,
AUTHOR = {Johnson, C.R. and KROSCHEL, B.K. and LUNDQUIST,
M.},
TITLE = {The totally nonnegative completion problem},
BOOKTITLE = {Topics in Semidefinite and Interior-Point Methods
(Toronto, ON,
1996)},
PAGES = {97--107},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1998},
}
@ARTICLE {johRea:00,
author = "C.R. Johnson and R. REAMS",
title = "Semidefiniteness without real symmetry",
journal = laa,
year = "2000",
volume = "306",
pages = "203-209" }
@ARTICLE {johschr:96,
author = "C.R. Johnson and E.A. SCHREINER",
title = "The relationship between {$AB$ }and {$BA$}",
journal = "American Math. Monthly",
year = "1996",
volume = "Aug-Sept",
pages = "578-582" }
@article {JohTar:95,
author = "C.R. Johnson and P. Tarazaga",
title = " Approximate semidefinite matrices in a
subspace",
JOURNAL = simax,
FJOURNAL = {SIAM J. on Matrix Analysis and Applications},
VOLUME = {19},
YEAR = {1999},
NUMBER = {4},
PAGES = {861--871},
}
@ARTICLE {johRod:84,
author = "C.R. Johnson and L. RODMAN",
title = "Inertia possibilities for completions of partial
{H}ermitian matrices",
journal = lama,
year = "1984",
volume = "16",
pages = "179-195"}
@article {JohSmith:00,
author = "C.R. Johnson and R.L. SMITH",
title = " The positive semidefinite completion
problem relative to a subspace",
year = "2000",
journal = laa,
volume = "307",
pages = "1-14"}
@ARTICLE {JoNeWi:34,
author = "P. JORDAN and J. VON NEUMANN and E. WIGNER",
title = "On an algebraic generalization of the quantum
mechanical formalism",
journal = "Annals of Mathematics",
year = "1934",
volume = "35",
pages = "29-64"}
@article {MR1742322,
AUTHOR = {Ji, J. and Potra, F.A. and Sheng, R.},
TITLE = {On the local convergence of a predictor-corrector method
for
semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {10},
YEAR = {1999},
NUMBER = {1},
PAGES = {195--210 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1742322 (2001b:90062)},
MRREVIEWER = {Jos F. Sturm},
}
%KKKKKKKKKKKKKK
@incollection {Kah:96,
author = "N. KAHALE",
title ="A semidefinite bound for mixing rates of {M}arkov chains",
booktitle = "Integer programming and combinatorial optimization (Vancouver, BC,
1996)",
pages="190--203",
series = "Lecture Notes in Comput. Sci.",
volume ="1084",
publisher = "Springer, Berlin",
year = "1996"}
@article {MR87j:15039,
AUTHOR = {KAR{\v{C}}ICKA, D. L.},
TITLE = {Self-conditionally positive semidefinite matrices},
JOURNAL = {Mat. Fak. Univ. Kiril Metodij Skopje Godi\v sen Zb.},
FJOURNAL = {Matematichki Fakultet. Univerzitetot Kiril i Metodij.
Skopje.
Godishen Zbornik=Matemati\v cki Fakultet. Univerzitet Kiril
i
Metodij. Skopje. Godi\v sen Zbornik},
VOLUME = {33(34)},
YEAR = {1982/83},
PAGES = {53--57},
}
@article { KargerMotwaniSudan94,
AUTHOR = {D. KARGER and R. MOTWANI and M. SUDAN},
title = "Approximate graph coloring by semidefinite programming",
volume = 45,
pages = "246--265",
year = 1998,
journal = jacm
}
@article {Kar:95,
AUTHOR = {KARLOFF, H.},
TITLE = {How good is the {G}oemans-{W}illiamson {M}{A}{X} {C}{U}{T}
algorithm?},
PAGES = {336-350},
journal = SJC,
volume = "29",
number = "1",
YEAR = {1999},
}
@inproceedings {Kar:95b,
AUTHOR = {KARLOFF, H.},
TITLE = {How good is the {G}oemans-{W}illiamson {M}{A}{X} {C}{U}{T}
algorithm?},
BOOKTITLE = {Proceedings of the Twenty-eighth Annual ACM Symposium on
the
Theory of Computing (Philadelphia, PA, 1996)},
PAGES = {427--434},
PUBLISHER = {ACM},
ADDRESS = {New York},
YEAR = {1996},
}
@ARTICLE {KaWi:71,
author = "C. KALLINA and A.C. WILLIAMS",
title = "Linear Programming in reflexive spaces",
journal = "SIAM Rev.",
year = "1971",
volume = "13",
pages = "350-376"}
@PHDTHESIS {Karischthesis:95,
author = "S. Karisch",
title = "Nonlinear Approaches for Quadratic Assignment
and Graph Partition Problems",
institution = "University of Graz",
year = "1995",
address = "Graz, Austria"}
@inproceedings {KaRe:95dec,
author = "S.E. Karisch and F. Rendl",
title="Semidefinite programming and graph equipartition",
booktitle="Topics in Semidefinite and Interior-Point Methods",
editors="P. Pardalos and H. Wolkowicz",
publisher="American Mathematical Society",
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
volume = "18",
address="Providence, Rhode Island",
year="1998" }
@TECHREPORT {KaReCl:97,
author = "S.E. Karisch and F. Rendl and J. Clausen",
title = "solving graph bisection problems with
semidefinite programming",
year = "1997",
institution = "University of Copenhagen",
address = "Dept. of Computer Science",
number = "Report DIKU-Tr-97/9"
}
@inproceedings{ Ka:72,
author={R.M. Karp},
title={Reducibility among combinatorial problems},
booktitle = {Complexity of Computer Computation},
year = {1972},
editor = {R. E. Miller and J.W. Thatcher},
publisher = {Plenum Press, New York},
pages = {85-103}
}
@techreport {keshavanOh:09,
AUTHOR = {R.H. KESHAVAN, S. OH},
title = "A Gradient Descent Algorithm on the Grassman Manifold for
Matrix Completion",
year = "2009",
number = "http://arxiv.org/abs/0910.5260",
institution= "Stanford University",
address = "Dept. of Electrical Engineering"
}
@ARTICLE{Kiwiel83,
AUTHOR = {K.C. Kiwiel},
TITLE = {An Aggregate Subgradient Method for Nonsmooth Convex
Minimization
},
JOURNAL = MP,
YEAR = 1983,
VOLUME = 27,
PAGES = {320--341},
MSC91 = {65K05, 90C25, 49D99},
ENTERED = {19980811}
}
@ARTICLE{Kiwiel90,
AUTHOR = {K.C. Kiwiel},
TITLE = {Proximity Control in bundle Methods for convex
nondifferentiable
minimization},
JOURNAL = MP,
YEAR = 1990,
VOLUME = 46,
PAGES = {105--122}
}
@article {MR21:4390,
AUTHOR = {Klee, V.},
TITLE = {Some characterizations of convex polyhedra},
JOURNAL = {Acta Math.},
VOLUME = {102},
YEAR = {1959},
PAGES = {79--107},
MRCLASS = {52.00},
MRNUMBER = {21 \#4390},
MRREVIEWER = {H. Mirkil},
}
@inproceedings {MR1427530,
AUTHOR = {KLEIN, P. and LU, H.-I},
TITLE = {Efficient approximation algorithms for semidefinite
programs arising from {M}{A}{X} {C}{U}{T} and
{C}{O}{L}{O}{R}{I}{N}{G}},
BOOKTITLE = {Proceedings of the Twenty-eighth Annual ACM Symposium on
the
Theory of Computing (Philadelphia, PA, 1996)},
PAGES = {338--347},
PUBLISHER = {ACM},
ADDRESS = {New York},
YEAR = {1996},
}
# This file contains papers from Hao Hu started Apr/18
@techreport{HuYang:23,
title = "Affine FR : an effective facial reduction algorithm for
semidefinite relaxations of combinatorial problems",
author = "H. Hu and and B. Yang",
institution="Clemson University",
note = "26 pages, Optimization Online",
address = "Clemson, NC",
year="2023 submitted",
}
@article{sotirov2013efficient,
title={An efficient semidefinite programming relaxation for the graph partition problem},
author={Sotirov, R.},
journal={INFORMS Journal on Computing},
volume={26},
number={1},
pages={16--30},
year={2013},
publisher={INFORMS}
}
@article{van2015semidefinite,
title={Semidefinite programming and eigenvalue bounds for the graph partition problem},
author={van Dam, E.R and Sotirov, R.},
journal={Mathematical Programming},
volume={151},
number={2},
pages={379--404},
year={2015},
publisher={Springer}
}
@article {MR3788893,
AUTHOR = {Sotirov, R.},
TITLE = {Graph bisection revisited},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {265},
YEAR = {2018},
NUMBER = {1},
PAGES = {143--154},
ISSN = {0254-5330},
MRCLASS = {05C70 (05C22 05C85 90C22 90C35)},
MRNUMBER = {3788893},
DOI = {10.1007/s10479-017-2575-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10479-017-2575-3},
}
@article {MR2546331,
AUTHOR = {de Klerk, E. and Sotirov, R.},
TITLE = {Exploiting group symmetry in semidefinite programming
relaxations of the quadratic assignment problem},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {122},
YEAR = {2010},
NUMBER = {2, Ser. A},
PAGES = {225--246},
ISSN = {0025-5610},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR2546331},
DOI = {10.1007/s10107-008-0246-5},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-008-0246-5},
}
@article {klerksotirv:09,
AUTHOR = {de Klerk, E. and Sotirov, R.},
TITLE = {A new library of structured semidefinite programming
instances},
journal = oms,
VOLUME = {24},
YEAR = {2009},
NUMBER = {6},
PAGES = {959--971}
}
@book{klerkbook:02,
author = "de Klerk, E.",
title = "Aspects of Semidefinite Programming: Interior Point Algorithms
and Selected Applications",
year = "2002",
series = "Applied Optimization Series",
publisher = "Kluwer Academic",
ISBN = {1-4020-0547-4},
PAGES = {300pp},
ADDRESS = {Boston, MA},
}
@incollection {MR1778227,
AUTHOR = {de Klerk, E. and Terlaky, T. and Roos, K.},
TITLE = {Self-dual embeddings},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {111--138},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22},
MRNUMBER = {1 778 227},
}
@PHDTHESIS {KLERK:97,
author = "de Klerk, E.",
title = "Interior point methods for
semidefinite programming",
institution = "Delft University",
school = "Delft University",
year = "1997"}
@article {KlerkRoosTerlaky:96,
author = "de Klerk, E. and C. Roos and T. Terlaky",
title = "Polynomial Primal-dual Affine Scaling Algorithms in
Semidefinite Programming",
JOURNAL = jco,
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {51--70},
}
@article {KlerkRoosTerlakyinit:97,
author = "de Klerk, E. and C. Roos and T. Terlaky",
title = "Initialization in semidefinite
programming via a self-dual skew-symmetric embedding",
journal="Oper. Res. Lett.",
volume ="20",
year ="1997",
number ="5",
pages ="213--221"}
@article{KlerkRoosTerlaky:97,
author = "de Klerk, E. and C. Roos and T. Terlaky",
title = "Primal--dual potential reduction methods
for semidefinite programming using affine--scaling directions",
journal = apnum,
volume = "29",
year = "1999",
pages ="335--360"
}
@article {KlerkPengTerlaky:99,
author = "de Klerk, E. and J. Peng and C. Roos and T. Terlaky",
TITLE = {A scaled {G}auss-{N}ewton primal-dual search direction for
semidefinite optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {11},
YEAR = {2001},
NUMBER = {4},
PAGES = {870--888 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C22 (65K05 90C53)},
MRNUMBER = {2002g:90070},
MRREVIEWER = {Franz Rendl},
}
@article {MR2296566,
AUTHOR = {de Klerk, E. and Pasechnik, D.V. and Schrijver, A.},
TITLE = {Reduction of symmetric semidefinite programs using the
regular
{$\ast$}-representation},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {613--624},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C35)},
MRNUMBER = {2296566 (2007k:90089)},
MRREVIEWER = {Zheng Hai Huang},
DOI = {10.1007/s10107-006-0039-7},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-006-0039-7},
}
@article{kelrkmaharrypasrichsal:05,
author = "de Klerk, E. and J. MAHARRY and D.V. PASECHNIK and
B. RICHTER and G. SALAZAR",
title = "Improved bounds for the crossing number of $K_{m,n}$ and
$K_n$",
journal = "SIAM J. Discrete Math.",
volume = "to appear",
year = "2005",
pages =""
}
@techreport {PengRoosTerlaky:99,
author = " J. Peng and C. Roos and T. Terlaky",
title = "A new class of polynomial primal-dual methods for
linear and semidefinite optimization",
institution = "Delft University of Technology",
address = "Faculty of Technical Mathematics and Informatics,
Delft, The Netherlands",
year = "1999"}
@techreport {KocvaraStingl:01,
author = " M. Kocvara and M. Stingl",
title = "A generalized augmented {L}agrangian method for
semidefinite programming",
institution = "University of Erlangen",
address = "Erlangen, Germany",
year = "2001"}
@techreport {Kojima:02,
author = " M. Kojima",
title = "A General Framework for Convex
Relaxation of Polynomial Optimization Problems over Cones",
number = "B-380",
institution = "Dept. of Mathematical Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
year = "1998"
}
@article {KoTu:98,
author = " M. Kojima and L. Tun{\c{c}}el",
title = "Cones of matrices and successive convex relaxations
of nonconvex sets",
institution = "Dept. of Mathematical Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
journal = siopt,
volume="10",
number = "3",
pages = "750-778",
year = "2000"
}
@techreport {KoTu:98b,
author = " M. Kojima and L. Tun{\c{c}}el",
title = "Discretization and localization in successive convex
relaxation methods for nonconvex quadratic
optimization problems",
number = "CORR 98-34",
institution = "Dept. of Combinatorics and Optimization",
address = "University of Waterloo",
year = "1998"
}
@techreport {KoTu:99,
author = " M. Kojima and L. Tun{\c{c}}el",
title = "On the finite convergence of successive
convex relaxation methods",
number = "CORR99-36",
institution = "Dept. of Combinatorics and Optimization",
address = "University of Waterloo",
year = "1999"
}
@article {KoShHa:94,
author = "M. Kojima and S. Shindoh and S. HARA",
TITLE = {Interior-point methods for the monotone semidefinite linear
complementarity problem in symmetric matrices},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {1},
PAGES = {86--125},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C33 (90C05 90C25)},
MRNUMBER = {97m:90088},
MRREVIEWER = {Jos F. Sturm},
}
@techreport {KoKoHa:94,
author = "M. Kojima and S. Kojima and S. Hara",
TITLE = {Linear algebra for semidefinite programming},
NOTE = {Linear matrix inequalities and positive semidefinite
programming (Japanese) (Kyoto, 1996)},
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
JOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
FJOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
NUMBER = {1004},
YEAR = {1997},
PAGES = {1--23},
}
@techreport {KoShShi:95,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Reduction of monotone linear complementarity
problems over cones to linear programs over cones",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
year = "1995"
}
@techreport {KoShShi:96,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Local convergence of predictor-corrector
infeasible-interior-point algorithms for {SDP}s and {SDLCP}s",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
year = "1996"
}
@article {KoShShi:96a,
author = " M. Shida and S. Shindoh and M. Kojima",
title = "Existence and uniqueness
of search directions in interior-point
algorithms for the {SDP} and monotone {SDLCP}",
journal=siopt,
pages = "387-396",
volume = "8",
year={1998}
}
@article {KoShShi:99,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Search directions in the {SDP} and the monotone
{SDLCP}: generalization and inexact computation",
JOURNAL = {Math. Programming},
pages = "51-80",
volume = "85",
number = "1",
year={1999}
}
@ARTICLE {Korner:01,
author = "P.F. KORNER",
title = "A note on convex relations of bivalent quadratic
programming",
journal = "SAMS",
volume = "39",
pages = "493-496",
year = "2001"}
@ARTICLE {Kortan:77,
author = "K.O. Kortanek",
title = "Constructing a perfect duality in infinite
programming",
journal = apmo,
volume = "3",
number = "4",
pages = "357-372",
year = "1977"}
@article {KortanZhang:98,
author = "K.O. Kortanek and Q. Zhang",
title = "Prefect duality in semi-infinite
and semidefinite programming",
institution = "Department of Management Sciences
The University of Iowa",
keywords = "semidefinite programming;
quadratic programming, cone programming; sdp; coneprog",
journal = mp,
volume = "91",
number = "1",
pages = "127-144",
year = "2001"}
@article{KrislockMalickRBigCr:17,
AUTHOR = {Krislock, N. and Malick, J. and Roupin, F.},
TITLE = {Biq{C}runch: a semidefinite branch-and-bound method for
solving binary quadratic problems},
JOURNAL = {ACM Trans. Math. Software},
FJOURNAL = {Association for Computing Machinery. Transactions on
Mathematical Software},
VOLUME = {43},
YEAR = {2017},
NUMBER = {4},
PAGES = {Art. 32, 23},
ISSN = {0098-3500},
MRCLASS = {65K05 (90C10 90C20)},
MRNUMBER = {3638569},
DOI = {10.1145/3005345},
URL = {https://doi.org/10.1145/3005345},
}
@techreport {Zhang:07,
author = "Q. Zhang",
title = "New duality models in semidefinite programming",
institution = "Department of Mathematics and Computer Science,
University of Northern Michigan",
keywords = "semidefinite programming;
quadratic programming, cone programming; sdp; coneprog",
year = "2007"}
@techreport{AlipKrislockGhodsi:10,
author = "B. Alipanahi and N. Krislock and A. Ghodsi",
title = "Manifold learning by semidefinite facial reduction",
institution="University of Waterloo",
number="Submitted to Machine Learning Journal",
address="Waterloo, Ontario",
year="2010"
}
########################Noisy EDM papers
@article{Pong:2011,
Author = {Pong, T.K. and Tseng, P.},
Journal = {Mathematical Programming},
Pages = {321-358},
Title = {({R}obust) {E}dge-based semidefinite programming relaxation
of sensor network localization},
Volume = {130},
Year = {2011}}
@article{Leung:2009,
Author = {N.-H.Z. Leung and K.-C. Toh},
Journal = {SIAM Journal on Scientific Computing},
Number = {6},
Pages = {4351-4372},
Title = {An {SDP}-Based Divide-and-Conquer Algorithm for Large-Scale
Noisy Anchor-Free Graph Realization},
Volume = {31},
Year = {2009}}
@article{Biswas:2008,
Author = {Pratik B. and K.-C. Toh and Y. Ye},
Journal = {SIAM Journal on Scientific Computing},
Number = {3},
Pages = {1251-1277},
Title = {A Distributed {SDP} Approach for Large-Scale Noisy
Anchor-Free Graph Realization with Applications to Molecular
Conformation},
Volume = {30},
Year = {2008}}
@article{Biswas:2006,
Author = {P. Biswas and T.-C. Liang and K.-C. Toh and
Ta-Chung Wang and Yinyu Ye},
Journal = {IEEE Transactions on Automation Science and Engineering},
Pages = {360--371},
Title = {Semidefinite programming approaches for sensor network
localization with noisy distance measurements},
Volume = {3},
Year = {2006}}
@techreport {Kartik:06,
author = "K.K. SIVARAMAKRISHNAN",
title = "A PARALLEL conic interior point decomposition
approach for BLOCK-ANGULAR semidefinite programs",
institution = "Department of Mathematics,
North Carolina State University, Raleigh",
keywords = "semidefinite programming;
cone programming; sdp; coneprog",
year = "2006"}
@techreport {krishnanmitchell:01,
author = "K.K. SIVARAMAKRISHNAN and J. MITCHELL",
title = "A Linear Programming Approach to Semidefinite
Programming Problems",
institution = "Department of Mathematical Sciences,
Rensselaer Polytechnic Institute",
keywords = "semidefinite programming;
cone programming; sdp; coneprog",
year = "2001"}
@ARTICLE{2018arXiv180610868K,
author = {{Kungurtsev}, V. and {Marecek}, J.},
title = "{A Two-Step Pre-Processing for Semidefinite Programming}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1806.10868},
primaryClass = "math.OC",
keywords = {Mathematics - Optimization and Control, Mathematics - Numerical Analysis},
year = 2018,
month = jun,
adsurl = {http://adsabs.harvard.edu/abs/2018arXiv180610868K},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{Kw:89,
author = "M.K. Kwong",
year = "1989",
title = "Some results on matrix monotone functions",
journal = laa,
volume = "118",
pages = "129--153",
kwds = "trace, L{\"{o}}wner order, {L}yapunov theorem"
}
%LLLLL
@ARTICLE{lam70,
AUTHOR ="G. LAMAN",
TITLE ="On graphs and rigidity of plane skeletal structures",
JOURNAL="Journal of Engineering mathematics",
VOLUME=4,
PAGES ={331--340} ,
YEAR=1970 }
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%NNNNNNNNNNNNNNNNNNN
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@preamble{
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%OOOOOOOOOOOOOOOOOO
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%PPPPPPPPPPPPPPPP
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%QQQQQQQQQQQQQQQQQQ
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------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
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%VVVVVVVVVVVVVVV
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% WWWWWWWWWWWWWWWWWWWWWw
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% XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
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% YYYYYYYYYYYYYYYY
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absolute stability of nonlinear control systems},
JOURNAL = {Dokl. Akad. Nauk SSSR},
FJOURNAL = {Doklady Akademii Nauk SSSR},
VOLUME = {209},
YEAR = {1973},
NUMBER = {14},
PAGES = {1039--1042},
}
@article {Ya:71,
AUTHOR = {Yakubovich, V.A.},
TITLE = {The {S}-procedure and duality theorems for nonconvex
problems of quadratic programming},
JOURNAL = {Vestnik Leningrad. Univ.},
FJOURNAL = {Vestnik Leningradskogo Universiteta},
VOLUME = 1973,
YEAR = {1973},
NUMBER = 1,
PAGES = {81--87},
}
@article {Ya:71b,
AUTHOR = {Yakubovich, V.A.},
TITLE = {The {S}-procedure in nonlinear control theory},
JOURNAL = {Vestnik Leningrad. Univ.},
FJOURNAL = {Vestnik Leningradskogo Universiteta},
VOLUME = {4},
YEAR = {1977},
PAGES = {73--93},
note= "English Translation, original Russian publication in Vestnik
Leningradskogo Universiteta, Seriya
Mathematika 62-77, 1971",
}
@article {MR95m:68087,
AUTHOR = {YANNAKAKIS, M.},
TITLE = {On the approximation of maximum satisfiability},
NOTE = {Third Annual ACM-SIAM Symposium on Discrete Algorithms
(Orlando, FL, 1992)},
JOURNAL = {J. Algorithms},
FJOURNAL = {Journal of Algorithms},
VOLUME = {17},
YEAR = {1994},
NUMBER = {3},
PAGES = {475--502},
ISSN = {0196-6774},
CODEN = {JOALDV},
}
@article {MR3030930,
AUTHOR = {Skajaa, A. and Andersen, E. D. and Ye, Y.},
TITLE = {Warmstarting the homogeneous and self-dual interior point
method for linear and conic quadratic problems},
JOURNAL = {Math. Program. Comput.},
FJOURNAL = {Mathematical Programming Computation},
VOLUME = {5},
YEAR = {2013},
NUMBER = {1},
PAGES = {1--25},
ISSN = {1867-2949},
MRCLASS = {90C51},
MRNUMBER = {3030930},
MRREVIEWER = {Guoqiang Wang},
DOI = {10.1007/s12532-012-0046-z},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s12532-012-0046-z},
}
@article {Yinye:97,
author = "Y. Ye",
title = "Approximating quadratic programming with
bound and quadratic constraints",
institution = "Department of Management Sciences
The University of Iowa",
address = "Iowa city, IA 522542",
keywords = "semidefinite programming;
quadratic programming, cone programming; sdp; coneprog",
VOLUME = {84},
journal = mp,
PAGES = {219-226},
year = "1999"}
@article {Ye-1,
author = "Y. Ye",
TITLE = "On affine scaling algorithms for nonconvex quadratic
programming",
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {56},
YEAR = {1992},
PAGES = {285--300},
}
@book {Yinye:97b,
author = "Y. Ye",
title = "Interior Point Algorithms: Theory and
Analysis",
publisher = "John Wiley \& Sons",
series = "Wiley-Interscience series in
Discrete Mathematics and Optimization",
address = "New York",
year = "1997"}
@incollection {MR2191577,
AUTHOR = {Biswas, P. and Ye, Y.},
TITLE = {A distributed method for solving semidefinite programs
arising
from ad hoc wireless sensor network localization},
BOOKTITLE = {Multiscale optimization methods and applications},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {82},
PAGES = {69--84},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2006},
MRCLASS = {90C22 (90B10)},
MRNUMBER = {MR2191577},
}
@inproceedings {BiswasYe:04,
AUTHOR = {Biswas, P. and Ye, Y.},
TITLE = {Semidefinite programming for ad hoc wireless sensor
network localization},
BOOKTITLE = {Information Processing In Sensor Networks,
Proceedings of the third international symposium on Information
processing in sensor networks},
PAGES = {46--54},
PUBLISHER = {ACM},
isbn = {1-58113-846-6},
ADDRESS = {Berkeley, Calif.},
YEAR = {2004},
}
@inproceedings {Biswas:2004,
AUTHOR = {Biswas, P. and Ye, Y.},
TITLE = {Semidefinite programming for ad hoc wireless sensor
network localization},
BOOKTITLE = {Information Processing In Sensor Networks,
Proceedings of the third international symposium on Information
processing in sensor networks},
PAGES = {46--54},
PUBLISHER = {},
ADDRESS = {Berkeley, Calif.},
YEAR = {2004},
}
@article {MR3384939,
AUTHOR = {Yang, L. and Sun, D. and Toh, K.-C.},
TITLE = {{${\rm SDPNAL}+$}: a majorized semismooth {N}ewton-{CG}
augmented {L}agrangian method for semidefinite programming
with nonnegative constraints},
JOURNAL = {Math. Program. Comput.},
FJOURNAL = {Mathematical Programming Computation},
VOLUME = {7},
YEAR = {2015},
NUMBER = {3},
PAGES = {331--366},
ISSN = {1867-2949},
MRCLASS = {90C06 (65K05 90C22 90C25)},
MRNUMBER = {3384939},
DOI = {10.1007/s12532-015-0082-6},
URL = {http://dx.doi.org/10.1007/s12532-015-0082-6},
}
@article{biswasliangtohwangye,
author = "Biswas, P. and Liang, T.-C. and Toh, K.-C. and Wang, T.-C.
and Ye, Y.",
title = "Semidefinite Programming Approaches for Sensor Network
Localization with Noisy Distance Measurements",
journal = "IEEE Trans. Autom. Sc. Eng.",
year = "2006",
volume ="3",
pages="360-371",
institution = "Operation Research, Stanford University",
address = "Stanford, CA",
}
@article {MR2398864,
author = "Biswas, P. and Toh, K.-C. and Ye, Y.",
TITLE = {A distributed {SDP} approach for large-scale noisy
anchor-free
graph reailzation with applications to molecular
conformation},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {30},
YEAR = {2008},
NUMBER = {3},
PAGES = {1251--1277},
ISSN = {1064-8275},
MRCLASS = {90C06 (90C22 90C26)},
MRNUMBER = {MR2398864},
}
@techreport{biswasliangtohye:05,
author = "Biswas, P. and Liang, T.-C. and Toh, K.-C. and Ye, Y.",
title = "An {SDP} based approach for anchor-free {3D} graph
realization",
year = "2005",
institution = "Operation Research, Stanford University",
address = "Stanford, CA",
}
@article {MR2015907,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. A.},
TITLE = {An interior-point perspective on sensitivity analysis in
semidefinite programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {28},
YEAR = {2003},
NUMBER = {4},
PAGES = {649--676},
ISSN = {0364-765X},
MRCLASS = {90C31 (90C05 90C22)},
MRNUMBER = {2 015 907},
}
@article {MR2003b:90137,
AUTHOR = {Yildirim, E. Alper and Wright, Stephen J.},
TITLE = {Warm-start strategies in interior-point methods for linear
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {782--810 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C51 (90C05)},
MRNUMBER = {2003b:90137},
MRREVIEWER = {Carla Durazzi},
}
@article {MR2003d:90107,
AUTHOR = {Yildirim, E. Alper and Todd, Michael J.},
TITLE = {An interior-point approach to sensitivity analysis in
degenerate linear programs},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {692--714 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C31 (90C05)},
MRNUMBER = {2003d:90107},
MRREVIEWER = {Sven-{\AA}ke Gustafson},
}
@article {MR2002c:90079,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. Alper and Todd, Michael J.},
TITLE = {Sensitivity analysis in linear programming and
semidefinite
programming using interior-point methods},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {90},
YEAR = {2001},
NUMBER = {2, Ser. A},
PAGES = {229--261},
ISSN = {0025-5610},
MRCLASS = {90C31 (90C22 90C51)},
MRNUMBER = {2002c:90079},
MRREVIEWER = {Shu Zhong Zhang},
}
@article{YildTodd:99,
author = "E.A. YILDIRIM and M.J. Todd",
title = "Sensitivity analysis in linear programming and semidefinite
programming using interior-point methods",
year = "2001",
number = "2",
journal = mprog,
volume = "90",
pages ="229-261",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@techreport{Yild:01,
author = "E.A. YILDIRIM",
title = "An Interior-Point Perspective on Sensitivity Analysis in
Semidefinite Programming",
year = "2001",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@article {Yild:04,
AUTHOR = {YILDIRIM, E.A.},
TITLE = {Unifying optimal partition approach to sensitivity
analysis in conic optimization},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {122},
YEAR = {2004},
NUMBER = {2},
PAGES = {405--423},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C31 (90C05 90C22)},
MRNUMBER = {MR2093850 (2005e:90134)},
MRREVIEWER = {I. M. Stancu-Minasian},
}
% ZZZZZZZZZZZZZZZZZZ
@techreport {Zalinescu:10,
AUTHOR = {Z{\u{a}}linescu, Constantin},
title = "On duality gap in linear conic problems",
institution = "University of Al. I. Cusa",
URL="http://www.optimization-online.org/DB_HTML/2010/09/2737.html",
year = "2010",
address = "Iasi, Romania"
}
@article {MR2464656,
AUTHOR = {Z{\u{a}}linescu, Constantin},
TITLE = {On zero duality gap and the {F}arkas lemma for conic
programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {33},
YEAR = {2008},
NUMBER = {4},
PAGES = {991--1001},
ISSN = {0364-765X},
MRCLASS = {90C48 (90C05 90C34 90C46 91B28)},
MRNUMBER = {2464656 (2009j:90140)},
MRREVIEWER = {R. Tichatschke},
DOI = {10.1287/moor.1080.0339},
URL = {http://dx.doi.org/10.1287/moor.1080.0339},
}
@TECHREPORT {Zhang:95,
author = "Y. Zhang",
title = "Basic equalities and inequalities in primal-dual
interior-point methods for semidefinite programming",
institution = "Department of Mathematics and Statistics,
University of Maryland Baltimore County",
keywords = "semidefinite programming; cone programming;
sdp;
coneprog",
year = "1995"}
@article {MR89b:15040,
AUTHOR = {Zhang, F. Z.},
TITLE = {On the best {E}uclidean fit to a distance matrix},
JOURNAL = {Beijing Shifan Daxue Xuebao},
FJOURNAL = {Beijing Shifan Daxue Xuebao. Ziran Kexue Ban. Journal of
Beijing Normal University (Natural Science)},
YEAR = {1987},
VOLUME = {4},
PAGES = {21--24},
ISSN = {0476-0301},
}
@article{Zhu:2010,
Author = {Z. Zhu and A. M.-C. So and Y. Ye},
Journal = {SIAM J. Optim.},
Number = {6},
Pages = {3059-3081},
Title = {Universal Rigidity and Edge Sparsification for Sensor
Network Localization},
Volume = {20},
Year = {2010}}
@article {ZhuCosBeas:03,
AUTHOR = {Z. ZHU and D.C. COSTER and L.B. BEASLEY},
TITLE = {Properties of a Covariance Matrix with an Application
to {D}-optimal Design},
JOURNAL = ela,
YEAR = {2003},
VOLUME = {10},
PAGES = {65--76},
}
@techreport {Ziegler:99,
author = "G.M. ZIEGLER",
title = "Lectures on 0/1-polytopes",
institution = "Technische Universitat Berlin",
year = "1999",
address = "Berling, Germany"
}
@ARTICLE {Zieb:98,
author = "A.D. ZIEBUR",
title = "Chain rules for functions of matrices",
journal = laa,
year = "1998",
volume = "283",
pages = "87-97"}
@TECHREPORT {ZoBySch:96,
author = "Z. ZOU and R.H. BYRD and R.B. SCHNABEL",
title = "A stochastic/perturbation global optimization
algorithm for distance geometry problems",
institution = "Dept. of Computer Science, University of
Colorado",
year = "1996",
address = "Boulder, Co"}
@article {MR2219133,
AUTHOR = {Zuluaga, L.F. and Vera, J. and Pe{\~n}a, J.},
TITLE = {L{MI} approximations for cones of positive semidefinite
forms},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {16},
YEAR = {2006},
NUMBER = {4},
PAGES = {1076--1091 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C25 90C30 90C34)},
MRNUMBER = {MR2219133 (2006m:90121)},
MRREVIEWER = {Didier Henrion},
}
# distance matrix references
@INCOLLECTION{lh82,
AUTHOR ="J. De Leeuw and W. Heiser",
EDITOR ="P. R. Krishnaiah and L. N. Kanal",
TITLE ="Theory of multidimensional scaling",
BOOKTITLE ="Handbook of Statistics",
PUBLISHER ="North-Holland",
PAGES ={ 285--316} ,
YEAR=1982,
VOLUME =2 }
@ARTICLE{cri88,
AUTHOR ="F. Critchley",
TITLE ="On certain linear mappings between inner-product and squared distance
matrices",
JOURNAL=laa,
VOLUME=105 ,
PAGES ={91--107} ,
YEAR=1988 }
@ARTICLE{hwlt91,
AUTHOR ="Hayden, T.L. and Wells, J. and Liu, W.M. and Tarazaga, P.",
TITLE ="The cone of distance matrices",
JOURNAL=laa,
VOLUME=144,
PAGES ={153--169} ,
YEAR=1991 }
##### bib entries from Levent Tuncel follow
##### This will cause duplication which will be straightened out later
@article {MR2003j:90035,
AUTHOR = {Kojima, M. and Tun{\c{c}}el, L.},
TITLE = {On the finite convergence of successive {SDP} relaxation
methods},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {325--341},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2003j:90035},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1932386,
AUTHOR = {Kojima, M. and Tun{\c{c}}el, L.},
TITLE = {Some fundamental properties of successive convex
relaxation
methods on {LCP} and related problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {24},
YEAR = {2002},
NUMBER = {3},
PAGES = {333--348},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C33 (90C09 90C11 90C20 90C48)},
MRNUMBER = {1 932 386},
MRREVIEWER = {Panos M. Pardalos},
}
@article {MR2002e:90070,
AUTHOR = {Kojima, M. and Tun{\c{c}}el, L.},
TITLE = {Discretization and localization in successive convex
relaxation methods for nonconvex quadratic optimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2000},
NUMBER = {1, Ser. A},
PAGES = {79--111},
ISSN = {0025-5610},
MRCLASS = {90C26 (90C08 90C34 90C51)},
MRNUMBER = {2002e:90070},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@article {AlHaOv:98,
author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton",
title = "Primal-dual interior-point methods for
semidefinite programming: Convergence rates, stability and numerical results",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "746-768"
}
@book{FarautKoranyi:94,
author = "J. FARAUT and A. KORANYI",
title = "Analysis on Symmetric Cones",
year = "1994",
series = "",
publisher = "Oxford University Press",
address = "NY, USA"
}
@book{FiaccoMcCormick:90,
author = "A.V. FIACCO and G.P. McCORMICK",
title = "Nonlinear programming sequential unconstrained
minimization techniques",
year = "1990",
series = "Classics in Applied Mathematics",
publisher = "SIAM",
address = "Philadelphia, PA, USA"
}
@techreport {Frisch:55,
author = "K.R. FRISCH",
title = "The logarithmic potential method of
convex programming",
institution = "Institute of Economics, Oslo University",
year = "1955",
address = "Oslo, Norway"
}
@article {GonzagaTodd:92,
author = "C.C. GONZAGA and M.J. Todd",
title = "An {O}$(\sqrt{n}{L})$-iteration
large-step primal-dual affine algorithm for linear
programming",
journal = siopt,
year = "1992",
volume = "2",
pages = "349-359"
}
@article {Guler:96,
author = "O. G{\" U}LER",
title = "Barrier functions in interior point
methods",
journal = mor,
year = "1996",
volume = "21",
pages = "860-885"
}
@article {Guler:97,
author = "O. G{\" U}LER",
title = "Hyperbolic polynomials and
interior point methods for convex programming",
journal = mor,
year = "1997",
volume = "22",
pages = "350-377"
}
@techreport {Guler:98,
author = "O. G{\" U}LER",
title = "Private communication",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "January 1998"
}
@article {MR3301316,
AUTHOR = {de Carli Silva, M.K. and Tun\c{c}el, L.},
TITLE = {Vertices of spectrahedra arising from the elliptope, the theta
body, and their relatives},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {25},
YEAR = {2015},
NUMBER = {1},
PAGES = {295--316},
ISSN = {1052-6234},
MRCLASS = {90C57 (90C22 90C27 90C46)},
MRNUMBER = {3301316},
MRREVIEWER = {Ruriko Yoshida},
DOI = {10.1137/130945818},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/130945818},
}
@techreport {GulerTuncel:97,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
title = "Manuscript",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "1997"
}
@article {GulerTuncel:98,
author = "O. G{\" U}LER and L. Tun{\c{c}}el",
TITLE = {Characterization of the barrier parameter of homogeneous
convex cones},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {81},
YEAR = {1998},
NUMBER = {1, Ser. A},
PAGES = {55--76},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C30 (49M30)},
MRNUMBER = {MR1617693 (99f:90124)},
MRREVIEWER = {Guillermo L. Hansen},
}
@article {Karmarkar:84,
author = "N.K. KARMARKAR",
title = "A new polynomial time algorithm for
linear programming",
journal = "Combinatorica",
year = "1984",
volume = "4",
pages = "373-395"
}
@book{KMNY:91,
author = "M. Kojima and N. MEGIDDO and T. NOMA and A. YOSHISE",
title = "A Unified Approach to
Interior Point Algorithms for Linear Complementarity Problems",
year = "1991",
series = "Lecture Notes in Computer Science",
publisher = "Springer-Verlag",
address = "NY, USA"
}
@article {KMY:89,
author = "M. Kojima and S. MIZUNO and A. YOSHISE",
title = "A polynomial time
algorithm for a class of linear complementarity problems",
journal = mprog,
year = "1989",
volume = "44",
pages = "1-26"
}
@article {KMY:91,
author = "M. Kojima and S. MIZUNO and A. YOSHISE",
title = "An {O}${(\sqrt{n}{L})}$ iteration
potential reduction algorithm for
linear complementarity problems",
journal = mprog,
year = "1991",
volume = "50",
pages = "331-342"
}
@techreport {KoShSh:96,
author = "M. Kojima and M. Shida and S. Shindoh",
TITLE = {A note on the {N}esterov-{T}odd and the {K}ojima-{S}hindoh-{H}ara
search directions in semidefinite programming},
note = "To appear in Optim. Methods Softw.",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
year = "1999"
}
@article{KoShSh:99,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Search directions in the {SDP} and the monotone {SDLCP}:
generalization and inexact computation",
journal = mprog,
volume = "85",
pages = "51--80",
year = "1999"
}
@article {KojimaTuncel:98,
author = "M. Kojima and L. Tun{\c{c}}el",
title = {Monotonicity of primal-dual
interior-point algorithms for
semidefinite programming problems},
JOURNAL = oms,
VOLUME = {10},
YEAR = {1998},
PAGES = {275-296},
}
@article {Lim:79,
author = "M.H. LIM",
TITLE = {Linear transformations on symmetric matrices},
JOURNAL = {Linear and Multilinear Algebra},
VOLUME = {7},
YEAR = {1979},
PAGES = {47-57},
}
@article {MarcusMoyls:59,
author = "M. MARCUS and B.N. MOYLS",
TITLE = {Linear transformations on algebras of matrices},
JOURNAL = {Canadian J. Math.},
VOLUME = {11},
YEAR = {1959},
PAGES = {61-66}
}
@inproceedings{Megiddo:88,
author = "N. MEGIDDO",
title = "Pathways to the optimal set in linear programming",
booktitle = "Progress in Mathematical Programming,
Interior Point and Related Methods",
editor="N. Megiddo",
Publisher="Springer-Verlag",
year ={1988} }
@article {MKT:95,
author = "S. MIZUNO and M. Kojima and M.J. Todd",
title = {Infeasible-interior-point primal-dual potential-reduction
algorithms for linear programming},
JOURNAL = siopt,
VOLUME = {5},
YEAR = {1995},
PAGES = {52-67},
}
@article {MR2004397,
author = "R.D.C. Monteiro",
TITLE = {First- and second-order methods for semidefinite
programming},
NOTE = {ISMP, 2003 (Copenhagen)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {97},
YEAR = {2003},
NUMBER = {1-2, Ser. B},
PAGES = {209--244},
ISSN = {0025-5610},
MRCLASS = {90C22},
MRNUMBER = {MR2004397 (2004j:90077)},
MRREVIEWER = {Franz Rendl},
}
@article {MonteiroAdler:89,
author = "R.D.C. Monteiro and I. ADLER",
TITLE = {Interior path following
primal-dual algorithms. {Part I: Linear programming}},
JOURNAL = mprog,
VOLUME = {44},
YEAR = {1989},
PAGES = {27-42},
}
@article {MonteiroAdler:89a,
author = "R.D.C. Monteiro and I. ADLER",
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###from Dimitris Bertsimis
### strings moved to .master.bib
% BiBTeX data base for Concurent mapping and localisation
%--------------------------------------------------------------------
%% bibtextfile{
%% author = "Ioana Popescu",
%% version = "1.0",
%% date = "February 7, 1998",
%% filename = "cml.bib",
%% address = "OR Center Rm. E40-130
%% MIT, 77 Mass. Ave,
%% Cambridge, MA 02139, USA",}
%---------------------------------------------------------------------
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TITLE = {S{DPA} project: solving large-scale semidefinite
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MRCLASS = {90C22 (90-04 90C06)},
MRNUMBER = {MR2388512 (2008m:90049)},
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K.
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TITLE = {A parallel primal-dual interior-point method for
semidefinite
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JOURNAL = {Parallel Comput.},
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VOLUME = {32},
YEAR = {2006},
NUMBER = {1},
PAGES = {24--43},
ISSN = {0167-8191},
CODEN = {PACOEJ},
MRCLASS = {90C22 (65K05 90C51)},
MRNUMBER = {2193820 (2006h:90043)},
MRREVIEWER = {Didier Henrion},
DOI = {10.1016/j.parco.2005.07.002},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.parco.2005.07.002},
}
@article {MR2007889,
AUTHOR = {Yamashita, M. and Fujisawa, K. and Kojima, M.},
TITLE = {S{DPARA}: {S}emi{D}efinite {P}rogramming {A}lgorithm
pa{RA}llel version},
JOURNAL = {Parallel Comput.},
FJOURNAL = {Parallel Computing. Systems \& Applications},
VOLUME = {29},
YEAR = {2003},
NUMBER = {8},
PAGES = {1053--1067},
ISSN = {0167-8191},
CODEN = {PACOEJ},
MRCLASS = {90B22 (65K05 90-04)},
MRNUMBER = {2007889 (2004g:90029)},
DOI = {10.1016/S0167-8191(03)00087-5},
URL =
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}
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AUTHOR = {Yamashita, M. and Fujisawa, K. and Kojima, M.},
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JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {18},
YEAR = {2003},
NUMBER = {4},
PAGES = {491--505},
ISSN = {1055-6788},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {MR2019042 (2004j:90079)},
note = "sdpa.indsys.chuo-u.ac.jp/sdpa/",
}
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AUTHOR = {Fujisawa, K.},
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semidefinite programming {SDPA} (semidefinite programming
algorithm)},
JOURNAL = {Systems Control Inform.},
FJOURNAL = {Systems, Control and Information. Shisutemu, Seigyo,
J\=oh\=o},
VOLUME = {44},
YEAR = {2000},
NUMBER = {2},
PAGES = {51--58},
ISSN = {0916-1600},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {MR1755003},
}
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AUTHOR = {Fujisawa, K. and Fukuda, M. and Kojima,
M.
and Nakata, Kazuhide},
TITLE = {Numerical evaluation of {SDPA} (semidefinite programming
algorithm)},
BOOKTITLE = {High performance optimization},
SERIES = {Appl. Optim.},
VOLUME = {33},
PAGES = {267--301},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {MR1748770 (2002a:90050)},
}
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AUTHOR = {Fujisawa, K. and Kojima, M. and Nakata,
K.},
TITLE = {The interior-point method software {SDPA} (semidefinite
programming algorithm) for semidefinite programming
problems},
NOTE = {Continuous and discrete mathematics for optimization
(Kyoto,
1999)},
JOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
FJOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
NUMBER = {1114},
YEAR = {1999},
PAGES = {149--159},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1767321},
}
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%------------------------ Approximation Algorithms ----------------------
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%------------------------ Complexity ------------------------------
@Book{Sip96,
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%------------------------ Finance -----------------------------
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an implementation of the homogeneous algorithm},
BOOKTITLE = {High performance optimization},
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PAGES = {197--232},
PUBLISHER = {Kluwer Acad. Publ., Dordrecht},
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MRNUMBER = {1748773},
MRREVIEWER = {Shu Zhong Zhang},
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%---------------------- Inventory -------------------------------------
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%-------------------------------Queueing-------------------------------------
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##### From Jarre bbl file in Convex paper
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%A.W.\ Marshall and I.\ Olkin,
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%
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%\bibitem{Wilkinson}
%J.H.\ WILKINSON
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%Oxford University Press (1965).
## from Shapiro bbl file
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ISSN = {1095-7200},
}
@article{BonShap:97,
author = "J.F. Bonnans and A. Shapiro",
title = "Nondegeneracy and quantitative stability of parameterized
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journal = siopt,
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VOLUME = {8},
YEAR = {1998},
NUMBER = {4},
PAGES = {940--946 (electronic)},
ISSN = {1095-7189},
}
@article {MR93m:90086,
AUTHOR = {Shapiro, A. and Bonnans, J. F.},
TITLE = {Sensitivity analysis of parametrized programs under cone
constraints},
JOURNAL = {SIAM J. Control Optim.},
FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Control and Optimization},
VOLUME = {30},
YEAR = {1992},
NUMBER = {6},
PAGES = {1409--1422},
ISSN = {0363-0129},
CODEN = {SJCODC},
}
## from deKlerk et al start
@inproceedings{int:deklerk7,
author = {de Klerk, E. and C. Roos and T. Terlaky},
title = {Infeasible--start semidefinite programming algorithms via self--dual
embeddings},
editors = {P.~M. Pardalos and H.~Wolkowicz},
booktitle = {Topics in
Semidefinite and Interior-Point Methods},
volume = {18},
series = {The Fields Institute for Research in Mathematical Sciences,
Communications Series},
pages = {215--236},
publisher = {American Mathematical Society},
year = {1998}
}
@inproceedings {int:Deklerk5,
author = {de Klerk, E. and C. Roos and T. Terlaky},
title = {On primal--dual path--following algorithms in semidefinite
programming},
editors = {F.~Giannessi, S.~Koml\'{o}si, and T.~Rapcs\'{a}k},
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publisher = {Kluwer Academic Publishers},
address = {Dordrecht, The Netherlands},
year = {1998}
}
@techreport {Illes98,
author = {T.~ILL{\'E}S and J.~Peng and C.~Roos and and T.~Terlaky},
title = {A strongly polynomial rounding procedure yielding a maximally
complementary solution for {P}$^*(\kappa)$ linear complementarity problems},
number = {98--15},
institution = {Faculty of Technical Mathematics and
Computer Science},
address = {Delft University of Technology, Delft, The Netherlands},
year = {1998}
}
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author = {J.~JIANG},
TITLE = {A long-step primal-dual path-following method for
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CODEN = {ORLED5},
MRCLASS = {90C25 (90C08)},
MRNUMBER = {99i:90071},
MRREVR = {Michael L. Dowling},
}
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}
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author = {M.V. Ramana and P.M. Pardalos},
title = {Semidefinite programming},
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year = {1996}
}
@techreport{int:Stoer2,
author = {J.~STOER and M.~WECHS},
title = {Infeasible-interior-point paths for sufficient linear complementarity
problems and their analyticity},
note = {Manuscript},
institution = {Institut f\"ur Angewandte Mathematik und Statistik},
address = {Universit\"at W\"urzburg, W\"urzburg, Germany},
year = {1996}
}
## from deKlerk et al end
## from Mike Todd et al beginning
%Henry, I've been doing some work on cleaning up our chapter, though
%the text is much the same as what you have. In particular, I've been
%preparing a bib file. This has some additions to your master list,
%as well as some updates (marked by %%**). It's included below.
@techreport {Ko:95,
author = "M. Kojima",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
title = "Private communication",
year = "1995"
}
@article {Mont:98,
author = "R.D.C. Monteiro",
title = "Polynomial convergence of primal-dual algorithms for
semidefinite programming based on the {Monteiro and Zhang}
family of directions",
journal = siopt,
year = "1998",
volume = "8",
pages = "797-812"
}
@article{MoTu:96,
author = "R.D.C. Monteiro and T. Tsuchiya",
title = "Polynomiality of Primal-Dual algorithms for semidefinite
Linear
Complementarity Problems Based on the {Kojima-Shindoh-Hara}
Family of Directions",
journal = mprog,
volume = "84",
year = "1999",
pages = "39--53"
}
@techreport{lupong:10,
AUTHOR = "Z. Lu and T.K. Pong",
Title = {Minimizing condition number via convex
programming},
institution = {University of Washington},
address = {Seattle, WA},
number = {},
Year = 2010}
@techreport{pongtseng:09,
AUTHOR = "T.K. Pong and P. Tseng",
Title = {({R}obust) edge-based semidefinite programming
relaxation of sensor network localization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Jan-09},
Year = 2009}
@article{Pong:2010,
Author = {Pong, T. AND Tseng, P.},
Journal = {Mathematical Programming},
Title = {({R}obust) {E}dge-based semidefinite programming relaxation of sensor network localization},
Year = {2010},
}
@article {pong:12,
author = "T.K. Pong",
title={Edge-based semidefinite programming relaxation
of sensor network localization with lower bound constraints},
journal=coap,
pages = "23--44",
volume = "53",
year={2012}
}
@techreport{Pong:2009,
AUTHOR = "T.K. Pong and P. Tseng",
Title = {({R}obust) edge-based semidefinite programming
relaxation of sensor network localization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Jan-09},
Year = 2009}
@techreport{tseng:96,
AUTHOR = "P. Tseng",
Title = {FURTHER NOTES ON THE EXISTENCE OF SEARCH
DIRECTIONS IN INTERIOR-POINT METHODS FOR THE MONOTONE SEMI-DEFINITE
{LCP}},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-96},
Year = 1996}
@techreport{tseng:04,
AUTHOR = "P. Tseng",
Title = {{SOCP} relaxation for nonconvex optimization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-04},
note = "presented at ICCOPT I, RPI, Troy, NY",
Year = 2004}
@article{Tse:98,
AUTHOR = "P. Tseng",
TITLE = "Search directions and convergence
analysis of some infeasible path-following methods
for the monotone semi-definite {LCP}",
journal=oms,
pages = "245-268",
volume = "9",
year={1998}
}
@article{Tsengsiam:05,
AUTHOR = {Tseng, P.},
TITLE = {Second-order cone programming relaxation of sensor network
localization},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {18},
YEAR = {2007},
NUMBER = {1},
PAGES = {156-185},
}
@article{Tseng:2007,
AUTHOR = {Tseng, P.},
TITLE = {Second-order cone programming relaxation of sensor network
localization},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {18},
YEAR = {2007},
NUMBER = {1},
PAGES = {156-185},
}
@article{YZha:98,
author = "Y. Zhang",
title = "On extending some primal-dual interior-point algorithms
from linear programming to semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "365-386"
}
## from Mike Todd et al end
## from Ragu et al end
#
@phdthesis{biswasphd07,
author="P. Biswas",
title="Semidefinite programming approaches to distance geometry
problems",
school ="Stanford University",
address="Stanford, CA",
year="2007"
}
@inproceedings{ ElB:94,
author={L. {EL~GHAOUI} and V. BALAKRISHNAN},
title={{S}ynthesis of Fixed-structure Controllers
via Numerical Optimization},
booktitle=cdc,
month=dec,
year={1994},
pages={2678-2683},
}
## from Ragu et al end
###From Laurent:
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}
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@techreport{bentalnemirov:98,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
Title = {{Convex Optimization in Engineering:
Modeling, Analysis, Algorithms}},
institution = {Delft University of Technology},
address = {Delft, The Netherlands},
number = {on notes from course given by A. Nemirovski},
Year = 1998}
@book {MR1857264,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
TITLE = {Lectures on modern convex optimization},
SERIES = {MPS/SIAM Series on Optimization},
NOTE = {Analysis, algorithms, and engineering applications},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2001},
PAGES = {xvi+488},
ISBN = {0-89871-491-5},
MRCLASS = {90-01 (49-01 90C05 90C22 90C51)},
MRNUMBER = {MR1857264 (2003b:90002)},
MRREVIEWER = {Jos F. Sturm},
}
@article{BNRT:00,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
title = "On the quality of semidefinite approximations of uncertain
semidefinite programs affected by box uncertainty",
year = "2000",
institution = "MINERVA Optimization Center, Technion -
Israel Institute of Technology",
address = "Technion City, Haifa 32000, Israel",
number = {2/00},
}
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AUTHOR = {Ben-Tal, A. and KOCVARA, M. and Nemirovski, A.S. and ZOWE, J.},
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}
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@Book{VHV:91,
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VOLUME = {18},
YEAR = {1997},
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@incollection {MR1447473,
AUTHOR = {EL GHAOUI, L. and LEBRET, H.},
TITLE = {Robust solutions to least squares problems with uncertain
data},
BOOKTITLE = {Recent advances in total least squares techniques and
errors-in-variables modeling (Leuven, 1996)},
PAGES = {161--170},
PUBLISHER = {SIAM},
ADDRESS = {Philadelphia, PA},
YEAR = {1997},
}
#### end from Laurent
##### from math sci search for quadratic
@article {MR1673454,
AUTHOR = {BOMZE, I. M.},
TITLE = {On standard quadratic optimization problems},
NOTE = {Workshop on Global Optimization (Trier, 1997)},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
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Global Optima and Their Applications in Science, Management and
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YEAR = {1998},
NUMBER = {4},
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ISSN = {0925-5001},
CODEN = {JGOPEO},
}
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E.
and Roos, C. and Quist, A.J. and Terlaky,
T.},
TITLE = {On copositive programming and standard quadratic
optimization
problems},
NOTE = {GO'99 Firenze},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
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YEAR = {2000},
NUMBER = {4},
PAGES = {301--320},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C25},
MRNUMBER = {1 810 401},
}
@techreport{BomzeDeklerk:01,
author = {I.M. BOMZE and de Klerk, E.},
title = {Solving standard quadratic optimization problems via linear,
semidefinite and copositive programming},
institution = {{Institut fuer Statistik, Universitaet Wien}},
year = {2001},
month = {May},
number = {2001-03},
address = {{Universitaetsstrasse 5, A-1010 Wien, Austria}},
note = {{Available at: {\tt
ssor.twi.tudelft.nl/\~{ }deklerk/publications/sos$\_$copos7.ps}}}
}
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AUTHOR = {GUU, S.M. and LIOU, Y.C.},
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YEAR = {1998},
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CODEN = {JOTABN},
}
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MR98c:68145,
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AUTHOR = {FLOUDAS, C.A. and VISWESWARAN, V.},
TITLE = {Quadratic optimization},
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AUTHOR = {Poore, A.B.},
TITLE = {Bifurcation problems for some parametric nonlinear
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MRCLASS = {90C31 (49K27 90C48)},
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DOI = {10.1006/jmaa.1996.0284},
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}
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DOI = {10.1007/BF02055201},
URL = {http://dx.doi.org/10.1007/BF02055201},
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quadratic penalty-barrier and multipliers methods for solving
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YEAR = {1996},
NUMBER = {3},
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NOTE = {Conference on Computational Methods in Global Optimization, II
(Princeton, NJ, 1991)},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management and
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VOLUME = {2},
YEAR = {1992},
NUMBER = {3},
PAGES = {229--241},
ISSN = {0925-5001},
CODEN = {JGOPEO},
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#####additions from two chapters
## put temporary bib entries here to check for typos
#
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title={Long-Step Path-Following Algorithm in Quantum Information Theory: Some Numerical Aspects and Applications},
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primaryClass={math.OC}
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#Chapter 10 bibliography entries
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%bibliography entries from Chapter 18
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###extra refs about matrix completions start
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@incollection {MR90k:15008,
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###extra refs about matrix completions end
### correlation matrices references
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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Nathan Krislock at 2010-07-05 15:55:49 -0400
%% Saved with string encoding Unicode (UTF-8)
@article{Ma:2010,
Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
Adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1006.5252M},
Archiveprefix = {arXiv},
Author = {{Ma}, R. and {Cheng}, S.},
Date-Added = {2010-07-05 15:55:18 -0400},
Date-Modified = {2010-07-05 15:55:22 -0400},
Eprint = {1006.5252},
Journal = {ArXiv e-prints},
Keywords = {Mathematics - Numerical Analysis, Computer Science - Numerical Analysis},
Month = jun,
Title = {{Decomposition Approach for Low-rank Matrix Completion}},
Year = 2010}
@article{Mesbahi:1997,
Author = {Mesbahi, M. and Papavassilopoulos, G.P.},
Journal = {Automatic Control, IEEE Transactions on},
Month = {feb},
Number = {2},
Pages = {239 -243},
Title = {On the rank minimization problem over a positive
semidefinite linear matrix inequality},
Volume = {42},
Year = {1997}}
@ARTICLE{871772,
author={Parrilo, P.A. and Khatri, S.},
journal={Automatic Control, IEEE Transactions on}, title={On
cone-invariant linear matrix inequalities},
year={2000},
month={aug},
volume={45},
number={8},
pages={1558 -1563},
keywords={classical Perron-Frobenius theorem;cone-invariant linear
matrix inequalities;linear operator;optimal solution;optimal value;power
iteration-type algorithms;rank minimization problems;spectral
radius;structured singular value;iterative methods;matrix
algebra;minimisation;},
doi={10.1109/9.871772},
ISSN={0018-9286},}
####% PROTEIN DESIGN from Vris
####% Emergent strategies for inverse molecular design
@article {HuBY:09,
author = {Hu, X. and Beratan, D. and Yang, W.},
affiliation = {Department of Chemistry, Duke University, Durham, North Carolina 27708-0354, USA},
title = {Emergent strategies for inverse molecular design},
journal = {Science in China Series B: Chemistry},
publisher = {Science China Press, co-published with Springer},
issn = {1006-9291},
keyword = {Chemistry and Materials Science},
pages = {1769-1776},
volume = {52},
issue = {11},
url = {http://dx.doi.org/10.1007/s11426-009-0260-3},
note = {10.1007/s11426-009-0260-3},
year = {2009}
}
% Branch-and-terminate: a combinatorial optimization algorithm for protein design
@article{GordonM:99,
address = {Division of Chemistry and Chemical Engineering California Institute of Technology Pasadena, California, 91125, USA.},
author = {Gordon, D. B. and Mayo, S. L.},
day = {15},
issn = {0969-2126},
journal = {Structure},
keywords = {scp},
month = sep,
number = {9},
pages = {1089--1098},
pmid = {10508778},
posted-at = {2006-04-25 17:20:26},
priority = {0},
title = {{Branch-and-terminate: a combinatorial optimization algorithm for protein design.}},
url = {http://view.ncbi.nlm.nih.gov/pubmed/10508778},
volume = {7},
year = {1999}
}
%-----------------------------------------------------------
% PROTEIN-PROTEIN INTERACTION
% Protein-protein docking by simulating the process of association subject to biochemical constraints
@article{MotiejunasGWFJWW:08,
address = {EML Research gGmbH, Schloss-Wolfsbrunnenweg 33, 69118 Heidelberg, Germany; Faculty of Biosciences, Interdisciplinary Center for Scientific Computing, University of Heidelberg, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany},
author = {Motiejunas, D. and Gabdoulline, R. and Wang, T. and Feldman-Salit, A. and Johann, T. and Winn, P.J. and Wade, R.C.},
doi = {10.1002/prot.21867},
journal = {Proteins: Structure, Function, and Bioinformatics},
keywords = {bd, continuum-model, electrostatic, protein-protein},
number = {9999},
pages = {NA+},
posted-at = {2009-04-28 13:16:54},
priority = {2},
title = {{Protein-protein docking by simulating the process of association subject to biochemical constraints}},
url = {http://dx.doi.org/10.1002/prot.21867},
volume = {9999},
year = {2008}
}
% Improved side-chain modeling for protein–protein docking
@article {WangSB:05,
author = {Wang, Chu and Schueler-Furman, Ora and Baker, David},
title = {Improved side-chain modeling for protein–protein docking},
journal = {Protein Science},
volume = {14},
number = {5},
publisher = {Cold Spring Harbor Laboratory Press},
issn = {1469-896X},
url = {http://dx.doi.org/10.1110/ps.041222905},
doi = {10.1110/ps.041222905},
pages = {1328--1339},
keywords = {protein–protein docking, side-chain modeling, rotamer minimization, side-chain entropy},
keywords = {PDB, Protein Data Bank, RMSD, root-mean-square deviation.},
year = {2005},
}
% Anchor residues in protein-protein interactions
%-----------------------------------------------------------
% NP-HARDNESS OF SIDE CHAIN PACKING
@article{Akutsu1997,
title = {NP-hardness results for protein side-chain packing},
author = {Akutsu, T.},
year = {1997},
volume = {8},
pages = {180--186},
journal = {Genome Informatics},
url = {http://www.jsbi.org/journal1/gi08/},
number={},
}
%-----------------------------------------------------------
% HOMOLOGY MODELING AND FOLD RECOGNITION
% From fold recognition to homology modeling: an analysis of protein modeling challenges at different levels of prediction complexity
@article{OlszewskiYDT:04,
title = "From fold recognition to homology modeling: an analysis of protein modeling challenges at different levels of prediction complexity",
journal = "Computers & Chemistry",
volume = "24",
number = "3-4",
pages = "499 -- 510",
year = "2000",
note = "",
issn = "0097-8485",
doi = "DOI: 10.1016/S0097-8485(99)00078-9",
url = "http://www.sciencedirect.com/science/article/pii/S0097848599000789",
author = "Olszewski, K.A. and Yan, L. and Edwards, D. and Yeh, T.",
keywords = "Homology modeling",
keywords = "Fold recognition",
keywords = "CASP3"
}
%-----------------------------------------------------------
% ROTAMER LIBRARY
%A Smoothed Backbone-Dependent Rotamer Library for Proteins Derived from Adaptive Kernel Density Estimates and Regressions
@article{ShapovalovD2011,
title = "A Smoothed Backbone-Dependent Rotamer Library for Proteins Derived from Adaptive Kernel Density Estimates and Regressions",
journal = "Structure",
volume = "19",
number = "6",
pages = "844 - 858",
year = "2011",
note = "",
issn = "0969-2126",
doi = "DOI: 10.1016/j.str.2011.03.019",
url = "http://www.sciencedirect.com/science/article/pii/S0969212611001444",
author = "Shapovalov, M.V. and Dunbrack, R.L."
}
% The penultimate rotamer library
@article {LovellWRR:00,
author = {Lovell, S.C. and Word, J.M. and Richardson, J.S. and Richardson, D.C.},
title = {The penultimate rotamer library},
journal = {Proteins: Structure, Function, and Bioinformatics},
volume = {40},
number = {3},
publisher = {Wiley Subscription Services, Inc., A Wiley Company},
issn = {1097-0134},
url = {http://dx.doi.org/10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2},
doi = {10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2},
pages = {389--408},
keywords = {side-chain rotamer library, all-atom contact analysis, structure validation, reversed leucines, explicit hydrogens, van der Waals analysis},
year = {2000},
}
%-----------------------------------------------------------
% DEAD END ELIMINATION
% The dead-end elimination theorem and its use in protein side-chain positioning
@article{DesmetMHL:92,
author = {Desmet, J. and Maeyer, M.D. and Hazes, B. and Lasters, I.},
day = {09},
doi = {10.1038/356539a0},
issn = {0028-0836},
journal = {Nature},
keywords = {dee, rotamers},
month = apr,
number = {6369},
pages = {539--542},
posted-at = {2006-04-07 14:33:40},
priority = {0},
publisher = {Nature Publishing Group},
title = {{The dead-end elimination theorem and its use in protein side-chain positioning}},
url = {http://dx.doi.org/10.1038/356539a0},
volume = {356},
year = {1992}
}
% Efficient rotamer elimination applied to protein side-chains and related spin glasses
@article{Goldstein:94,
title = "Efficient rotamer elimination applied to protein side-chains and related spin glasses",
journal = "Biophysical Journal",
volume = "66",
number = "5",
pages = "1335 - 1340",
year = "1994",
note = "",
issn = "0006-3495",
doi = "DOI: 10.1016/S0006-3495(94)80923-3",
url = "http://www.sciencedirect.com/science/article/pii/S0006349594809233",
author = "Goldstein, R.F. "
}
%-----------------------------------------------------------
% ENERGY FUNCTION
% Computing van der Waals energies in the context of the rotamer approximation
@article{GrigoryanOK:07,
author = {Grigoryan, G. and Ochoa, A. and Keating, A.E.},
doi = {10.1002/prot.21470},
journal = {Proteins},
keywords = {keating-import},
month = sep,
number = {4},
pages = {863--878},
posted-at = {2009-04-08 21:33:49},
priority = {2},
title = {{Computing van der Waals energies in the context of the rotamer approximation}},
url = {http://www.hubmed.org/display.cgi?uids=17554777},
volume = {68},
year = {2007}
}
@article{MR1772826,
AUTHOR = {Helmberg, C. and Rendl, F. and Weismantel, R.},
TITLE = {A semidefinite programming approach to the quadratic
knapsack
problem},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {4},
YEAR = {2000},
NUMBER = {2},
PAGES = {197--215},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {1772826},
MRREVIEWER = {Alejandro Crema},
DOI = {10.1023/A:1009898604624},
URL = {http://dx.doi.org/10.1023/A:1009898604624},
}
@article{WaNaMu:12,
title={Strange behaviors of interior-point methods for solving semidefinite programming problems in polynomial optimization},
author={Waki, H. and Nakata, M. and Muramatsu, M.},
journal={Computational Optimization and Applications},
volume={53},
number={3},
pages={823--844},
year={2012},
publisher={Springer}
}
@article {MR1614078,
AUTHOR = {Vandenberghe, L. and Boyd, S. and Wu, S-P.},
TITLE = {Determinant maximization with linear matrix inequality
constraints},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {19},
YEAR = {1998},
NUMBER = {2},
PAGES = {499--533},
ISSN = {0895-4798},
MRCLASS = {90C25 (65F30)},
MRNUMBER = {1614078},
MRREVIEWER = {Mei-Qin Chen},
DOI = {10.1137/S0895479896303430},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/S0895479896303430},
}
@incollection {MR3297415,
AUTHOR = {Zhang, Q.},
TITLE = {The orthogonal complement of faces for cones associated with
the cone of positive semidefinite matrices},
BOOKTITLE = {Advances in global optimization},
SERIES = {Springer Proc. Math. Stat.},
VOLUME = {95},
PAGES = {15--22},
PUBLISHER = {Springer, Cham},
YEAR = {2015},
MRCLASS = {90C22 (90C46)},
MRNUMBER = {3297415},
MRREVIEWER = {Ning Ruan},
DOI = {10.1007/978-3-319-08377-3_2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-319-08377-3_2},
}
@article {MR2472421,
AUTHOR = {Yan, S. and Liu, J. and Tang, X. and Huang, T.S.},
TITLE = {Formulating face verification with semidefinite programming},
JOURNAL = {IEEE Trans. Image Process.},
FJOURNAL = {IEEE Transactions on Image Processing},
VOLUME = {16},
YEAR = {2007},
NUMBER = {11},
PAGES = {2802--2810},
ISSN = {1057-7149},
MRCLASS = {68T10 (68T45 90C22)},
MRNUMBER = {2472421},
DOI = {10.1109/TIP.2007.906271},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1109/TIP.2007.906271},
}
%%%%%%%%%%%%%%%%%%%%%from Hao Hu May/21
@article{li2015graph,
title={Graph partitioning via parallel submodular approximation to accelerate distributed machine learning},
author={Li, M. and Andersen, D. G. and Smola, A. J.},
journal={arXiv preprint arXiv:1505.04636},
year={2015}
}
@article{pirim2012clustering,
title={Clustering of high throughput gene expression data},
author={Pirim, H. and Ek{\c{s}}io{\u{g}}lu, B. and Perkins, A. D. and Y{\"u}ceer, {\c{C}}.},
journal={Computers \& operations research},
volume={39},
number={12},
pages={3046--3061},
year={2012},
publisher={Elsevier}
}
@incollection{boisvert1997matrix,
title={Matrix market: a web resource for test matrix collections},
author={Boisvert, R. F. and Pozo, R. and Remington, K. and Barrett, R. F. and Dongarra, J. J.},
booktitle={Quality of Numerical Software},
pages={125--137},
year={1997},
publisher={Springer}
}
@misc{color02,
title = {{COLOR02/03/04}: Graph Coloring and its Generalizations},
author = {D. S. Johnson and A. Mehrotra and M. A. Trick},
year = {2002},
url={https://mat.tepper.cmu.edu/COLOR04/}
}
@misc{kungurtsev2018two,
title={A Two-Step Pre-Processing for Semidefinite Programming},
author={V. Kungurtsev and J. Marecek},
year={2020},
eprint={1806.10868},
archivePrefix={arXiv},
primaryClass={math.OC}
}
@article{hu2019solving,
title={On solving the quadratic shortest path problem},
author={Hu, H. and Sotirov, R.},
journal={INFORMS Journal on Computing},
year={2019},
publisher={INFORMS}
}
#
# added: polynomial optimization apr14/23
@article {MR4552592,
AUTHOR = {Gonz\'{a}lez-Rodr\'{\i}guez, B. and Ossorio-Castillo, J. and
Gonz\'{a}lez-D\'{\i}az, J. and Gonz\'{a}lez-Rueda, \'{A}ngel M. and Penas,
D.R. and Rodr\'{\i}guez-Mart\'{\i}nez, D.},
TITLE = {Computational advances in polynomial optimization: {RAPOS}a, a
freely available global solver},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {85},
YEAR = {2023},
NUMBER = {3},
PAGES = {541--568},
ISSN = {0925-5001},
MRCLASS = {90-04 (90C23)},
MRNUMBER = {4552592},
DOI = {10.1007/s10898-022-01229-w},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-022-01229-w},
}
@book {MR4465042,
AUTHOR = {Zhong, Suhan},
TITLE = {Data {S}cience {O}ptimization with {P}olynomials},
NOTE = {Thesis (Ph.D.)--University of California, San Diego},
PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
YEAR = {2022},
PAGES = {120},
ISBN = {979-8834-05432-0},
MRCLASS = {Thesis},
MRNUMBER = {4465042},
URL =
{http://gateway.proquest.com.proxy.lib.uwaterloo.ca/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:29206394},
}
@article {MR4438384,
AUTHOR = {Kim, Sunyoung and Kojima, Masakazu and Toh, Kim-Chuan},
TITLE = {Doubly nonnegative relaxations for quadratic and polynomial
optimization problems with binary and box constraints},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {193},
YEAR = {2022},
NUMBER = {2, Ser. B},
PAGES = {761--787},
ISSN = {0025-5610},
MRCLASS = {90C23 (90C22 90C25 90C26)},
MRNUMBER = {4438384},
DOI = {10.1007/s10107-020-01594-y},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-020-01594-y},
}
@article {MR4414541,
AUTHOR = {Zhu, Lin and Zhang, Xinzhen},
TITLE = {Semidefinite relaxation method for polynomial optimization
with second-order cone complementarity constraints},
JOURNAL = {J. Ind. Manag. Optim.},
FJOURNAL = {Journal of Industrial and Management Optimization},
VOLUME = {18},
YEAR = {2022},
NUMBER = {3},
PAGES = {1505--1517},
ISSN = {1547-5816},
MRCLASS = {90C23 (90C22 90C33)},
MRNUMBER = {4414541},
MRREVIEWER = {Sunyoung Kim},
DOI = {10.3934/jimo.2021030},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.3934/jimo.2021030},
}
@article {MR3936973,
AUTHOR = {Dickinson, Peter J. C. and Povh, Janez},
TITLE = {A new approximation hierarchy for polynomial conic
optimization},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {73},
YEAR = {2019},
NUMBER = {1},
PAGES = {37--67},
ISSN = {0926-6003},
MRCLASS = {90C22 (11E25 13P25 14P10 90C05 90C30)},
MRNUMBER = {3936973},
MRREVIEWER = {Markus Schweighofer},
DOI = {10.1007/s10589-019-00066-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-019-00066-0},
}
@incollection {MR3051234,
AUTHOR = {Lasserre, Jean B.},
TITLE = {Moments and positive polynomials for optimization},
BOOKTITLE = {Modern optimization modelling techniques},
SERIES = {Adv. Courses Math. CRM Barcelona},
PAGES = {1--130},
PUBLISHER = {Birkh\"{a}user/Springer Basel AG, Basel},
YEAR = {2012},
MRCLASS = {90C22 (14P10 90-02)},
MRNUMBER = {3051234},
MRREVIEWER = {Mehdi Ghasemi},
DOI = {10.1007/978-3-0348-0291-8},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-0348-0291-8},
}
@article {MR3001030,
AUTHOR = {Waki, Hayato and Nakata, Maho and Muramatsu, Masakazu},
TITLE = {Strange behaviors of interior-point methods for solving
semidefinite programming problems in polynomial optimization},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {53},
YEAR = {2012},
NUMBER = {3},
PAGES = {823--844},
ISSN = {0926-6003},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {3001030},
MRREVIEWER = {Didier Henrion},
DOI = {10.1007/s10589-011-9437-8},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-011-9437-8},
}
# This file contains personal publication bib entries (including
## student theses.
## The bib entries were taken from MathSci - May 10, 2000.
##
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
# An http version has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/refpubl/refpubl.html
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
#
###################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
#
#
# 1. Books and special issues first.
# 2. Chapters in Books second
# 3. Papers in refereed Journals third
# 3. Papers in refereed Conference Proceedings fourth
# 4. Technical Reports fifth
# 5. Theses (including students' theses) sixth
# 111111 BOOKS BOOKS (authored and edited)
@book{fixedpointalgs:11,
TITLE = {Fixed-point algorithms for inverse problems in science and
engineering},
SERIES = {Springer Optimization and Its Applications},
VOLUME = {49},
EDITOR = {Bauschke, Heinz H. and Burachik, Regina S. and Combettes,
Patrick L. and Elser, Veit and Luke, D. Russell and Wolkowicz,
Henry},
PUBLISHER = {Springer, New York},
YEAR = {2011},
PAGES = {xii+402},
ISBN = {978-1-4419-9568-1},
MRCLASS = {49-06 (47-06 49N45 65-06 90-06)},
MRNUMBER = {2858828},
DOI = {10.1007/978-1-4419-9569-8},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-9569-8},
}
@book{BGKW:07,
TITLE = {12th ILAS Conference Proceeding, Regina 2005},
EDITOR = {
R. Bhatia and R. Guralnick and S. Kirkland and
H. Wolkowicz},
NOTE = {Held in Regina, SK, June 26--29, 2005},
publisher="Elsevier",
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {421,1},
YEAR = {2007},
PAGES = {1--2},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15-06},
MRNUMBER = {MR2290680},
}
@book{Sturmissue:07,
EDITOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Large Scale Nonlinear and Semidefinite Programming},
NOTE = {Dedicated to the memory of Jos Sturm,
Math. Programming, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
VOLUME = {109, 2-3, Ser. B},
YEAR = {2007},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/d4353m3642j7n008/}
}
@book{PardWo:01,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {New approaches for hard discrete optimization},
NOTE = {Papers from the Fields Workshop on Novel Approaches to
Hard
Discrete Optimization held at the University of Waterloo,
Waterloo, ON, April 26--28, 2001,
J. Comb. Optim. {\bf 6} (2002), no. 3},
PUBLISHER = {Springer},
ADDRESS = {Norwell, MA},
YEAR = {2002},
PAGES = {i--ii and 235--352},
ISSN = {1382-6905},
MRCLASS = {90-06 (90C27)},
MRNUMBER = {MR1920209},
}
@book {PardWolk:02,
TITLE = {Novel approaches to hard discrete optimization},
SERIES = {Fields Institute Communications},
VOLUME = {37},
EDITOR = {Pardalos, Panos and Wolkowicz, Henry},
NOTE = {Papers from the workshop held at the University of Waterloo,
Waterloo, ON, April 26--28, 2001},
PUBLISHER = {American Mathematical Society, Providence, RI},
YEAR = {2003},
PAGES = {viii+181},
ISBN = {0-8218-3248-4},
MRCLASS = {00B25 (68-06 90-06)},
MRNUMBER = {1987230},
DOI = {10.1090/fic/037},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/fic/037},
}
@proceedings{PardWolk:96,
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
TITLE = {Topics in Semidefinite and Interior-Point Methods},
BOOKTITLE = {Proceedings of the workshop held in Toronto, ON, May 1996},
EDITOR = "P. Pardalos and H. Wolkowicz",
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xx+250},
ISBN = {0-8218-0825-7},
MRCLASS = {90-06},
MRNUMBER = {98j:90005},
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html"
}
@book{PardWolk:97,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {Semidefinite Programming and Interior-Point Approaches for
Combinatorial Optimization Problems},
NOTE = {Papers from the workshop held at the University of Toronto,
Toronto, ON, May 15--17, 1996,
J. Comb. Optim. {\bf 2} (1998), no. 1},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Hingham, MA},
YEAR = {1998},
PAGES = {1--109},
ISSN = {1382-6905},
MRCLASS = {90-06 (90C26 90C27)},
MRNUMBER = {99a:90012},
}
@book{OvWo:96,
TITLE = {Semidefinite Programming},
EDITOR = "M.L. Overton and H. Wolkowicz",
NOTE = {Dedicated to the memory of Svatopluk Poljak,
Math. Programming {\bf 77} (1997), no. 2, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1997},
PAGES = {i--ii and 97--320},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90-06 (00B30)},
MRNUMBER = {98a:90010},
}
@book{PSWZ:94,
TITLE = {Special Issue Honoring Ingram Olkin},
EDITOR = {F. Pukelsheim and G. P. H. Styan and H. Wolkowicz and I.
Zaballa},
NOTE = {Linear Algebra and Its Applications
{\bf 199} (1994)},
PUBLISHER = {Elsevier Science Inc.},
YEAR = {1994},
PAGES = {i--viii and 445 pp.},
}
@book{PardWolk:94,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {Quadratic assignment and related problems},
NOTE = {Papers from the workshop held at Rutgers University, New
Brunswick, New Jersey, May 20--21, 1993},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1994},
PAGES = {xii+364},
ISBN = {0-8218-6607-9},
MRCLASS = {90-06 (90C27 90C30 90C35)},
MRNUMBER = {95b:90005},
}
@book{SaVaWo:97,
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
TITLE = {Handbook of semidefinite programming},
SERIES = {International Series in Operations Research \& Management
Science, 27},
NOTE = {Theory, algorithms, and applications},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Boston, MA},
YEAR = {2000},
PAGES = {xxviii+654},
ISBN = {0-7923-7771-0},
MRCLASS = {90-00 (90C22)},
MRNUMBER = {MR1778223 (2001k:90001)},
MRREVIEWER = {K. G. Murty},
}
# 222222 CHAPTERS (chapters in books)
###############################
@incollection{KrislockWolk:10,
author = "Krislock, N. and Wolkowicz, H.",
TITLE = {Euclidean distance matrices and applications},
BOOKTITLE = {Handbook on semidefinite, conic and polynomial optimization},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {166},
PAGES = {879--914},
PUBLISHER = {Springer, New York},
YEAR = {2012},
MRCLASS = {62H11 (15A99 90C22)},
MRNUMBER = {2894673},
DOI = {10.1007/978-1-4614-0769-0\_30},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-0769-0_30},
}
@incollection{Wolkgenerat:09,
author = "H. Wolkowicz",
TITLE = {Generating eigenvalue bounds using optimization},
BOOKTITLE = {Nonlinear analysis and variational problems},
SERIES = {Springer Optim. Appl.},
VOLUME = {35},
PAGES = {465--490},
PUBLISHER = {Springer, New York},
YEAR = {2010},
MRCLASS = {15A42 (90C25 90C31 90C32)},
MRNUMBER = {2581881},
MRREVIEWER = {Jorma Kaarlo Merikoski},
DOI = {10.1007/978-1-4419-0158-3\_29},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-0158-3_29},
}
@incollection{WoHLA:05,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "CRC Handbook of Linear Algebra (HLA)",
editor = "L. Hogben",
Publisher="CRC Press",
pages = {51-1--51-13},
ADDRESS = {Bacon Raton, Fl},
note = "2008 Choice Magazine Outstanding Academic Title",
URL = "www.crcpress.com/shopping\_cart/products/product\_detail.asp?sku=C5106\&parent\_id=\&pc=",
year = "2007"
}
@incollection{Wolknonlinassign:99,
author = "H. Wolkowicz",
TITLE = {Semidefinite programming approaches to the quadratic
assignment problem},
BOOKTITLE = {Nonlinear assignment problems},
SERIES = {Comb. Optim.},
VOLUME = {7},
PAGES = {143--174},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR1893727},
}
@incollection{AlWo:99,
author = "A.Y. Alfakih and H. Wolkowicz",
TITLE = {Matrix completion problems},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {533--545},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (65F30)},
MRNUMBER = {MR1778240},
}
@incollection{NeWoYe:99,
author = "Y.E. Nesterov and H. Wolkowicz and Y. Ye",
TITLE = {Semidefinite programming relaxations of nonconvex
quadratic
optimization},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {361--419},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C26)},
MRNUMBER = {MR1778235},
}
@incollection{KrukWolk:99,
author = "S. Kruk and H. Wolkowicz",
TITLE = {Sequential, quadratic constrained, quadratic programming for
general nonlinear programming},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {563--575},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C55)},
MRNUMBER = {MR1778242},
}
@incollection{wolkcamb:99,
author = "H. Wolkowicz",
title = "Semidefinite and {L}agrangian Relaxations for hard
combinatorial problems",
booktitle = "Proceedings of 19th IFIP TC7 Conference on
System Modelling and Optimization, July, 1999, Cambridge",
editor = "M.J.D. Powell",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = {269-309},
year = "2000"
}
@incollection{Wolkapplhand:99,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "Handbook of
Applied Optimization",
editor = "P.M. Pardalos and M.G.C. Resende",
Publisher="Oxford University Press, New York",
ISBN = {0-19-512594-0},
year = "2002",
pages = {40-50},
}
@incollection{wolk:98,
author="H. Wolkowicz",
title = "Duality for Semidefinite Programming",
institution="University of Waterloo",
type="Research Report",
booktitle="Encyclopedia of Optimization",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = "",
year="2001",
}
# 333333 PAPERS in REFEREED JOURNALS
###############################
# start of journal ... PAPERS
###############################
###2024##########################
@techreport{SongDonglasLeoCarlile:24,
title = "Exact Recovery of Points for a given {E}uclidean Distance
Matrix",
author = "Mengmeng Song
and Douglas Goncalves
and Woosuk L. Jung
and Carlile Campos Lavor
and Antonio Mucherino
and Henry Wolkowicz",
institution="University of Waterloo",
note = "43 pages, research report",
address = "Waterloo, Ontario",
year="2024",
note = "in progress"
}
###2023##########################
@techreport{CensorMoursiWeamsWolk:22,
title = "Regularized Nonsmooth {N}ewton Algorithms for Best
Approximation with Applications",
author = "Y. Censor and and W. Moursi and T. Weames and H. Wolkowicz",
institution="University of Waterloo",
note = "37 pages, research report",
address = "Waterloo, Ontario",
year="2022 submitted",
}
@techreport{WangWolk:22,
doi = {10.48550/ARXIV.2211.00834},
url = {https://arxiv.org/abs/2211.00834},
author = {Wang, Fei and Wolkowicz, Henry},
keywords = {Optimization and Control (math.OC), FOS: Mathematics, FOS: Mathematics},
title = {Singularity degree of non-facially exposed faces},
note = {19 pages},
publisher = {arXiv, 2211.00834, 19 pages},
year="2022 submitted",
}
@techreport{Huawei:22,
author = {Zhenan Fan and Haesol Im and Tyler Weames and Henry
Wolkowicz and Yong Zhang and Zirui Zhou},
title = {Machine Learning with Knowledge under Infinitely Many
Constraints},
address = {University of Waterloo},
note = {21 pages},
year="2022 under revision",
}
@techreport{HuaweiLPstable:23,
author = {Zhenan Fan and Haesol Im and Tyler Weames and Henry
Wolkowicz and Yong Zhang and Zirui Zhou},
title = { A Stable Primal-Dual Interior-Point Algorithm for Linear Programming
with Simplex Type Steps and Warm Starts},
address = {University of Waterloo},
note = {31 pages},
year="2023 in progress",
}
@techreport{HaLeWaDaHeCondNumb:23,
author = {W.L. Jung and D. Torregrosa-Belen and H. Wolkowicz},
title = {Preconditioning, Numerical Computations
and the {O}mega-Condition Number},
institution = {University of Waterloo},
address = {Waterloo, Canada},
note = {31 pages},
year="2023 in progress",
}
@article{ImWolk:22,
title = "Revisiting Degeneracy, Strict Feasibility, Stability, in
Linear Programming",
institution="University of Waterloo",
note = "35 pages, 10.48550/ARXIV.2203.02795",
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
volume = "310",
number = "2",
pages = "495-510",
doi = {10.48550/ARXIV.2203.02795},
url = {https://arxiv.org/abs/2203.02795},
author = {Im, H. and Wolkowicz, H.},
keywords = {Optimization and Control (math.OC), FOS: Mathematics, FOS: Mathematics, 90C05, 90C49},
year="2023",
}
###2021##########################
@article{ImWolk:21,
AUTHOR = {Im, H. and Wolkowicz, H.},
TITLE = {A strengthened {B}arvinok-{P}ataki bound on {SDP} rank},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {49},
YEAR = {2021},
NUMBER = {6},
PAGES = {837--841},
ISSN = {0167-6377},
MRCLASS = {90C57 (52B12 90C22)},
MRNUMBER = {4320399},
MRREVIEWER = {Franz Rendl},
DOI = {10.1016/j.orl.2021.09.004},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.orl.2021.09.004},
}
@techreport{hu2023robustineq,
title={{QKD} key rate with inequalities and nuclear norm},
author={H. Hu and H. Im and J. Lin and N. L\"utkenhaus and H. Wolkowicz},
institution="University of Waterloo",
note = "25 pages, research report",
address = "Waterloo, Ontario",
year="2023",
}
@article{hu2021robust,
title={Robust Interior Point Method for Quantum Key Distribution Rate Computation},
author={H. Hu and H. Im and J. Lin and N. L\"utkenhaus and H. Wolkowicz},
eprint={2104.03847},
archivePrefix={arXiv},
journal = {{Quantum}},
volume = {6},
pages = {792--840},
DOI = {https://doi.org/10.22331/q-2022-09-08-792},
url = {https://quantum-journal.org/papers/q-2022-09-08-792/},
year = {2022},
primaryClass={quant-ph}
}
@article{HuImLiWo:21,
title={A semismooth {N}ewton-type method for the nearest doubly
stochastic matrix problem},
author={H. Hu and H. Im and X. Li and H. Wolkowicz},
note = {arxiv.org/abs/2107.09631, 35 pages},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
volume = {May},
year={2023},
}
@techreport{GHKW:21,
title = "{SDP} Relaxations and {ADMM} for Power Flow Problems",
author = "B. Ghaddar and H. Hu and O. Kuryatnikova and H. Wolkowicz",
institution="University of Waterloo",
note = "45 pages, research report",
address = "Waterloo, Ontario",
year="2021",
}
###2020##########################
@techreport {BurkImWolk:20,
doi = {10.48550/ARXIV.2009.01450},
url = {https://arxiv.org/abs/2009.01450},
author = {Burkowski, F. and Im, H. and Wolkowicz, H.},
keywords = {Optimization and Control (math.OC), FOS: Mathematics, FOS: Mathematics},
title = {A {P}eaceman-{R}achford Splitting Method for the Protein Side-Chain Positioning Problem},
publisher = {arXiv},
address = "Waterloo, Ontario",
institution="University of Waterloo",
note = {arxiv.org/abs/2009.01450,21},
year = {2022},
copyright = {arXiv.org perpetual, non-exclusive license}
}
###2019##########################
@article{LiPongWolk:19,
author = "X. Li and T.K. Pong and H. Sun and H. Wolkowicz",
TITLE = {A strictly contractive {P}eaceman-{R}achford splitting method
for the doubly nonnegative relaxation of the minimum cut
problem},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {78},
YEAR = {2021},
NUMBER = {3},
PAGES = {853--891},
ISSN = {0926-6003},
MRCLASS = {90C22 (05C70 90C25 90C27 90C59)},
MRNUMBER = {4221619},
DOI = {10.1007/s10589-020-00261-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-020-00261-4},
}
@article{HSW:19,
title={Facial Reduction for Symmetry Reduced Semidefinite Programs},
author={H. Hu and R. Sotirov and H. Wolkowicz},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
pages = {475-529},
volume = {200},
year={2023},
note = {published Sept. 2022},
eprint={1912.10245},
archivePrefix={arXiv},
primaryClass={math.OC}
}
###2018##########################
@techreport{HSWWb:18,
title = "Finding a ``nice'' principal submatrix completion",
author = "H. Hu and S. Sremac and H.J. Woerdeman and H. Wolkowicz",
institution="University of Waterloo",
note = "16 pages, research report",
address = "Waterloo, Ontario",
year="2019",
}
@article{GHILW:20,
AUTHOR = {Graham, N. and Hu, H. and Im, H. and Li, X. and
Wolkowicz, H.},
TITLE = {A restricted dual {P}eaceman-{R}achford splitting method for a
strengthened {DNN} relaxation for {QAP}},
JOURNAL = {INFORMS J. Comput.},
FJOURNAL = {INFORMS Journal on Computing},
VOLUME = {34},
YEAR = {2022},
NUMBER = {4},
PAGES = {2125--2143},
ISSN = {1091-9856},
MRCLASS = {90C27 (90B80 90C22)},
MRNUMBER = {4485042},
DOI = {10.1287/ijoc.2022.1161},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/ijoc.2022.1161},
}
###2017##########################
@article{SreWangWolk:17,
author = "L. Pattersson and S. Sremac and F. Wang and H. Wolkowicz",
TITLE = {Noisy {E}uclidean distance matrix completion with a single
missing node},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {75},
YEAR = {2019},
NUMBER = {4},
PAGES = {973--1002},
ISSN = {0925-5001},
MRCLASS = {90C22 (15A83 90C20)},
MRNUMBER = {4031889},
DOI = {10.1007/s10898-019-00825-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-019-00825-7},
}
@article{FLWW:17,
author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz",
TITLE = {Parametric convex quadratic relaxation of the quadratic
knapsack problem},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {281},
YEAR = {2020},
NUMBER = {1},
PAGES = {36--49},
ISSN = {0377-2217},
MRCLASS = {90C20 (90C10)},
MRNUMBER = {4018044},
MRREVIEWER = {Michele Monaci},
DOI = {10.1016/j.ejor.2019.08.027},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.ejor.2019.08.027},
}
@inproceedings {FLWW:18,
author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz",
title = "Extending cover inequalities for the quadratic
knapsack problem to relaxations in lifted space",
Series = "The XIX Latin-Iberoamerican Conference on Operations Research,
CLAIO 2018",
Editors = "David Mauricio and Andre Mauricio",
ISBN = {978-612-48146-1-7},
pages = "353-360",
ISBN = {978-1-4614-7621-4; 978-1-4614-7620-7},
year="2018"
}
@inproceedings {FLWWOberw:19,
author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz",
title = "Convexification of the Quadratic Knapsack Problem
with Integrated Cut Strengthening",
Series = "Proceedings of the workshop on Mixed-integer Nonlinear
Optimization: a hatchery for modern mathematics, Mathematisches
Forschungsinstitut",
pages = "19-21",
address = "Oberwolfach, Germany",
year="2019"
}
@article{SWW:17,
author={S. Sremac and H.J. Woerdeman and H. Wolkowicz},
TITLE = {Error bounds and singularity degree in semidefinite
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {31},
YEAR = {2021},
NUMBER = {1},
PAGES = {812--836},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C25)},
MRNUMBER = {4227005},
DOI = {10.1137/19M1289327},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/19M1289327},
}
@misc{SWW:17b,
title={Complete Facial Reduction in One Step for Spectrahedra},
author = "S. Sremac and H.J. Woerdeman and H. Wolkowicz",
eprint={1710.07410},
archivePrefix={arXiv},
note = {1710.07410, arXiv},
primaryClass={math.OC},
year={2017}
}
@Incollection{SWWb:17,
author="Sremac, S. and Woerdeman, H.J. and Wolkowicz, H.",
TITLE = {Maximum determinant positive definite {T}oeplitz completions},
BOOKTITLE = {Operator theory, analysis and the state space approach},
SERIES = {Oper. Theory Adv. Appl.},
VOLUME = {271},
PAGES = {421--441},
PUBLISHER = {Birkh\"{a}user/Springer, Cham},
YEAR = {2018},
MRCLASS = {15A83 (15A15 15B05 90C22)},
MRNUMBER = {3889666},
MRREVIEWER = {Jin Zhong},
}
@inproceedings{RWWradicalideal:17,
title = "An {SDP}-based method for the real radical ideal
membership test",
author = "G. Reid and F. Wang and H. Wolkowicz",
editors="Tudor Jebelean,
Viorel Negru,
Tetsuo Ida,
Dana Petcu,
Stephen Watt,
Daniela Zaharie",
Series = "SYNASC2017,
International Symposium on Symbolic and Numeric Algorithms for
Scientific Computing",
year="2017"
}
@techreport{NeWoXia:17,
title = "Completely positive Low-Rank Matrix Completion
using Nuclear Norm with Facial Reduction",
author = "Y. Nesterov and H. Wolkowicz and Y. Xia",
institution="University of Waterloo",
note = "in progress",
address = "Waterloo, Ontario",
year="2017",
}
@article{MPWWW:17,
author="Ma, S. and Wang, F. and Wei, L. and Wolkowicz, H.",
TITLE = {Robust principal component analysis using facial reduction},
JOURNAL = {Optim. Eng.},
FJOURNAL = {Optimization and Engineering. International Multidisciplinary
Journal to Promote Optimization Theory \& Applications in
Engineering Sciences},
VOLUME = {21},
YEAR = {2020},
NUMBER = {3},
PAGES = {1195--1219},
ISSN = {1389-4420},
MRCLASS = {90C26 (65K10 90C27)},
MRNUMBER = {4125726},
MRREVIEWER = {Wenxing Zhu},
DOI = {10.1007/s11081-019-09476-9},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11081-019-09476-9},
}
@techreport{DrusSremWolk:17,
author = "D. Drusvyatskiy and S. Sremac and H. Wolkowicz",
title = "Three views of facial reduction in cone optimization",
institution="University of Waterloo",
note = "survey in progress",
address = "Waterloo, Ontario",
year="2017",
}
\usepackage{textcomp}
\textregistered\textcopyright
\sffamily\textregistered\textcopyright
@article{DrusWolk:16,
author = "D. Drusvyatskiy and H. Wolkowicz",
title = "The many faces of degeneracy in conic optimization",
journal = "Foundations and Trends\textsuperscript{\tiny\textregistered} in Optimization",
institution="University of Waterloo",
volume = "3",
number = "2",
address = "Waterloo, Ontario",
pages = "77-170",
url =
{https://books.google.ca/books/about/The_Many_Faces_of_Degeneracy_in_Conic_Op.html?id=VgnZvQEACAAJ&redir_esc=y},
DOI = {http://dx.doi.org/10.1561/2400000011},
issn = {2167-3888},
year="2017",
}
###2016##########################
@techreport{IanDavidsonWolk:16,
author = "I. Davidson and H. Wolkowicz",
title = "Rank restricted semidefinite matrices and image closedness",
institution="University of Waterloo",
note = "submitted",
pages = "1-12",
address = "Waterloo, Ontario",
year="2016",
}
@misc{Wolktalkdimacs:16,
author = "H. Wolkowicz",
note = "Based on survey paper:
The many faces of degeneracy in conic optimization,
(with D. Drusvyatskiy)",
title = "Tutorial: Facial Reduction in Cone Optimization with Applications to
Matrix Completions,
at: DIMACS Workshop on Distance Geometry: Theory and Applications",
address = "DIMACS, NJ",
year="2016",
}
@article {HuangWolkXYe:16,
author = "S. Huang and H. Wolkowicz",
TITLE = {Low-rank matrix completion using nuclear norm minimization and
facial reduction},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {72},
YEAR = {2018},
NUMBER = {1},
PAGES = {5--26},
ISSN = {0925-5001},
MRCLASS = {65F22 (52A41 65K10 90C22 90C46)},
MRNUMBER = {3846924},
MRREVIEWER = {Uno H\"{a}marik},
DOI = {10.1007/s10898-017-0590-1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-017-0590-1},
}
###YEAR 2015##########################
@article{SalahiTaatiWolk:15,
author = "M. Salahi and A. Taati and H. Wolkowicz",
TITLE = {Local nonglobal minima for solving large-scale extended
trust-region subproblems},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {66},
YEAR = {2017},
NUMBER = {2},
note = "submitted Dec. 23, 2015, 25 pages,
accepted to COAP Aug. 20, 2016, 25 pages,
online Sept. 2016, doi:10.1007/s10589-016-9867-4",
PAGES = {223--244},
ISSN = {0926-6003},
MRCLASS = {90C26 (65K05 90C30 90C46)},
MRNUMBER = {3604052},
DOI = {10.1007/s10589-016-9867-4},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-016-9867-4},
}
@article {OliveiraWolkXu:15,
author = "D.E. Oliveira and H. Wolkowicz and Y. Xu",
TITLE = {A{DMM} for the {SDP} relaxation of the {QAP}},
JOURNAL = {Math. Program. Comput.},
FJOURNAL = {Mathematical Programming Computation},
VOLUME = {10},
YEAR = {2018},
NUMBER = {4},
PAGES = {631--658},
ISSN = {1867-2949},
MRCLASS = {90C22 (90B80 90C06 90C46)},
MRNUMBER = {3863706},
MRREVIEWER = {Petrica C. Pop},
DOI = {10.1007/s12532-018-0148-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s12532-018-0148-3},
}
@techreport{TangWolk:17,
author = "Z. Tang and H. Wolkowicz",
title = "{ADMM} for the second lifting {SDP} relaxation of {MC}",
institution="University of Waterloo",
note = "in progress",
address = "Waterloo, Ontario",
year="2017",
}
@inproceedings{BoBurkWolk:16,
author = "X-B Li and F. Burkowski and H. Wolkowicz",
title = "Semidefinite Facial Reduction and Rigid Cluster Interpolation
in Protein Structure Elastic Network Models",
institution="University of Waterloo",
note = "submitted for refereed conference, Dec. 1, 2016, 10 pages,
unpublished",
address = "Waterloo, Ontario",
Series = "IEEE BIBM 2016",
year="2016",
}
@inproceedings{BoBurkWolktwo:16,
author = "X-B Li and F. Burkowski and H. Wolkowicz",
title = "Semidefinite facial reduction and rigid cluster elastic
network interpolation of protein structures",
institution="University of Waterloo",
address = "Waterloo, Ontario",
Series = "IEEE International Conference on Bioinformatics and
Biomedicine (BIBM), IEEE Xplore, January 19, 2017",
year="2017",
DOI = {0.1109/BIBM.2016.7822506},
}
@techreport{BoBurkWolk:15,
author = "X-B Li and F. Burkowski and H. Wolkowicz",
title = "Protein Structure Normal Mode Analysis on the Positive
Semidefinite Matrix Manifold",
institution="University of Waterloo",
note = "submitted Nov. 1, 2015, 10 pages",
address = "Waterloo, Ontario",
year="2015",
}
###2014##########################
@techreport{ChWosensit:14,
author = "Y.-L. Cheung and H. Wolkowicz",
title = "Sensitivity analysis of semidefinite programs without strong
duality",
institution="University of Waterloo",
note = "submitted June 2014, 37 pages",
address = "Waterloo, Ontario",
year="2014",
}
@techreport{RWWW:14,
title = "Facial Reduction and {SDP} Methods for Systems of
Polynomial Equations",
author = "
G. Reid and F. Wang and H. Wolkowicz and W. Wu",
institution="University of Western Ontario",
note = "submitted Dec. 2014, 38 pages",
address = "London, Ontario",
year="2014",
}
@article{RWW:17,
AUTHOR = {Wang, F. and Reid, G. and Wolkowicz, H.},
TITLE = {Finding maximum rank moment matrices by facial reduction on
primal form and {D}ouglas-{R}achford iteration},
JOURNAL = {ACM Commun. Comput. Algebra},
FJOURNAL = {ACM Communications in Computer Algebra},
VOLUME = {51},
YEAR = {2017},
NUMBER = {1},
PAGES = {35--37},
ISSN = {1932-2232},
MRCLASS = {90C33 (65F99 90C22)},
MRNUMBER = {3663238},
DOI = {10.1145/3096730.3096740},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1145/3096730.3096740},
}
@article{ChDrLiPeWomatrixrepr:14,
author = "D. Drusvyatskiy and
C.-K. Li and Y.-L. Cheung Voronin and D.C. Pelejo and H. Wolkowicz",
TITLE = {Projection methods for quantum channel construction},
JOURNAL = {Quantum Inf. Process.},
FJOURNAL = {Quantum Information Processing},
VOLUME = {14},
YEAR = {2015},
NUMBER = {8},
PAGES = {3075--3096},
ISSN = {1570-0755},
MRCLASS = {81P45},
MRNUMBER = {3370697},
DOI = {10.1007/s11128-015-1024-y},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11128-015-1024-y},
}
@article{ChDrLiPeWo:14,
author = "Y.-L. Cheung and D. Drusvyatskiy and
C.-K. Li and D.C. Pelejo and H. Wolkowicz",
title = "Projection methods in quantum information science",
institution="University of Waterloo",
note = "submitted July. 2014, 15 pages, under revision Oct. 2014",
address = "Waterloo, Ontario",
journal = "Quantum Information Processing",
pages = "3075-3095",
volume = "14",
number = "8",
year="2015",
}
@article{DrusLiWolk:14,
author = "D. Drusvyatskiy and G. Li and H. Wolkowicz",
TITLE = {A note on alternating projections for ill-posed semidefinite
feasibility problems},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {162},
YEAR = {2017},
NUMBER = {1-2, Ser. A},
PAGES = {537--548},
ISSN = {0025-5610},
MRCLASS = {90C22 (47J25 65J15)},
MRNUMBER = {3612949},
MRREVIEWER = {Sorin-Mihai Grad},
DOI = {10.1007/s10107-016-1048-9},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-016-1048-9},
}
@article{DrVaWo:14,
author = "D. Drusvyatskiy and S.A. Vavasis and H. Wolkowicz",
TITLE = {Extreme point inequalities and geometry of the rank sparsity
ball},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Optimization Society},
VOLUME = {152},
YEAR = {2015},
NUMBER = {1-2, Ser. A},
PAGES = {521--544},
ISSN = {0025-5610},
MRCLASS = {90C25 (47N10 68P30)},
MRNUMBER = {3369491},
DOI = {10.1007/s10107-014-0795-8},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-014-0795-8},
}
@article{DrPaWo:14,
author = "D. Drusvyatskiy and G. Pataki and H. Wolkowicz",
TITLE = {Coordinate shadows of semidefinite and {E}uclidean distance
matrices},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {25},
YEAR = {2015},
NUMBER = {2},
PAGES = {1160--1178},
ISSN = {1052-6234},
MRCLASS = {90C22 (52A99)},
MRNUMBER = {3357643},
MRREVIEWER = {Ning Ruan},
DOI = {10.1137/140968318},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/140968318},
}
@article{HaoWangPongWolk:14,
author = "T.K. Pong and H. Sun and N. Wang and H. Wolkowicz",
TITLE = {Eigenvalue, quadratic programming, and semidefinite
programming relaxations for a cut minimization problem},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {63},
YEAR = {2016},
NUMBER = {2},
PAGES = {333--364},
ISSN = {0926-6003},
MRCLASS = {05C35 (05C70 90C22 90C27 90C59)},
MRNUMBER = {3457444},
MRREVIEWER = {Sandra L. Arlinghaus},
DOI = {10.1007/s10589-015-9779-8},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-015-9779-8},
}
@article{ChDrWo:14,
author = "D. Drusvyatskiy and N. Krislock and
Y-L. Cheung Voronin and H. Wolkowicz",
TITLE = {Noisy {E}uclidean distance realization: robust facial
reduction and the {P}areto frontier},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {27},
YEAR = {2017},
NUMBER = {4},
PAGES = {2301--2331},
ISSN = {1052-6234},
MRCLASS = {90C22 (52B12 90C25)},
MRNUMBER = {3717821},
DOI = {10.1137/15M103710X},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/15M103710X},
}
############ YEAR 2013
@article{PongWolk:12,
author = "T.K. Pong and H. Wolkowicz",
TITLE = {The generalized trust region subproblem},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {58},
YEAR = {2014},
NUMBER = {2},
PAGES = {273--322},
ISSN = {0926-6003},
MRCLASS = {90C20 (90C26 90C55)},
MRNUMBER = {3201963},
DOI = {10.1007/s10589-013-9635-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-013-9635-7},
}
@techreport{LinWolkowicz:13,
author = "Lin, M-H. and Wolkowicz, H.",
title = "A general Hua-type matrix equality and its applications",
institution="University of Waterloo",
note = "7 pages, submitted Jan. 2013",
year="2013"
}
@article{LinWolkowiczHiro:13,
author = "Lin, M-H. and Wolkowicz, H.",
TITLE = {Hiroshima's theorem and matrix norm inequalities},
JOURNAL = {Acta Sci. Math. (Szeged)},
FJOURNAL = {Acta Universitatis Szegediensis. Acta Scientiarum
Mathematicarum},
VOLUME = {81},
YEAR = {2015},
NUMBER = {1-2},
PAGES = {45--53},
ISSN = {0001-6969},
MRCLASS = {15A60 (47A30)},
MRNUMBER = {3381873},
MRREVIEWER = {Natalia Bebiano},
DOI = {10.14232/actasm-013-821-3},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.14232/actasm-013-821-3},
}
############ YEAR 2012
@techreport{Babakmanifold:12,
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz",
title = "Large-Scale Manifold Learning by Semidefinite Facial Reduction",
institution="University of Waterloo",
URL = "http://hal.archives-ouvertes.fr/hal-00684488",
note = "19pages",
address = "Waterloo, Ontario",
year="2012"
}
@incollection {Babakprotein:12,
author = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and
Wolkowicz, H. and Donaldson, L. and Li, M.},
affiliation = {David R. Cheriton School of Computer Science,
University of Waterloo, Waterloo, Ontario, Canada},
title = {Protein Structure by Semidefinite Facial Reduction},
booktitle = {Research in Computational Molecular Biology},
series = {Lecture Notes in Computer Science},
editor = {Chor, Benny},
publisher = {Springer Berlin / Heidelberg},
isbn = {978-3-642-29626-0},
keyword = {Computer Science},
pages = {1-11},
volume = {7262},
year = {2012}
}
@article {Alipanahi:2012,
AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and
Wolkowicz, H. and Donaldson, L. and Li, M.},
TITLE = {Determining protein structures from {NOESY} distance
constraints by semidefinite programming},
JOURNAL = {J. Comput. Biol.},
FJOURNAL = {Journal of Computational Biology},
VOLUME = {20},
YEAR = {2013},
NUMBER = {4},
PAGES = {296--310},
ISSN = {1066-5277},
MRCLASS = {92D20 (90C22)},
MRNUMBER = {3042029},
DOI = {10.1089/cmb.2012.0089},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089},
}
@conference{Babaketal:12,
title="Protein Structure by Semidefinite Facial Reduction",
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz and L. Donaldson and M. Li",
institution="University of Waterloo",
note="poster session at RECOMB2012",
booktitle="URL: recomb2012.crg.cat",
address = "Waterloo, Ontario",
URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2012"
}
############ YEAR 2011
@article{MingW:11,
author = "Lin, M-H. and Wolkowicz, H.",
TITLE = {An eigenvalue majorization inequality for positive
semidefinite block matrices},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {60},
YEAR = {2012},
NUMBER = {11-12},
PAGES = {1365--1368},
ISSN = {0308-1087},
MRCLASS = {15A42},
MRNUMBER = {2989768},
MRREVIEWER = {Xiao-Dong Zhang},
DOI = {10.1080/03081087.2011.651723},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/03081087.2011.651723},
}
@book {MR3155260,
TITLE = {Computational and analytical mathematics},
SERIES = {Springer Proceedings in Mathematics \& Statistics},
VOLUME = {50},
EDITOR = {Bailey, David H. and Bauschke, Heinz H. and Borwein, Peter and
Garvan, Frank and Th\'{e}ra, Michel and Vanderwerff, Jon D. and
Wolkowicz, Henry},
NOTE = {In honor of Jonathan Borwein's 60th birthday,
Papers from the workshop (JonFest) held at Simon Fraser
University, Burnaby, BC, May 16--20, 2011},
PUBLISHER = {Springer, New York},
YEAR = {2013},
PAGES = {xiii+701},
ISBN = {978-1-4614-7621-4; 978-1-4614-7620-7},
MRCLASS = {49-06 (90-06)},
MRNUMBER = {3155260},
DOI = {10.1007/978-1-4614-7621-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-7621-4},
}
@incollection {ScTuWonumeric:07,
AUTHOR = {Cheung, Yuen-Lam and Schurr, Simon and Wolkowicz, Henry},
TITLE = {Preprocessing and regularization for degenerate semidefinite
programs},
BOOKTITLE = {Computational and analytical mathematics},
SERIES = {Springer Proc. Math. Stat.},
VOLUME = {50},
PAGES = {251--303},
PUBLISHER = {Springer, New York},
YEAR = {2013},
MRCLASS = {90C22 (90C46)},
MRNUMBER = {3108430},
MRREVIEWER = {Sorin-Mihai Grad},
DOI = {10.1007/978-1-4614-7621-4\_12},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-7621-4_12},
}
@article {MR3070089,
AUTHOR = {Bauschke, Heinz H. and Th\'{e}ra, Michel and Wolkowicz, Henry},
TITLE = {Preface [{S}pecial issue: {C}omputational and analytical
mathematics]},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {139},
YEAR = {2013},
NUMBER = {1-2, Ser. B},
PAGES = {1--3},
ISSN = {0025-5610},
MRCLASS = {90-06 (49-06)},
MRNUMBER = {3070089},
DOI = {10.1007/s10107-013-0656-x},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-013-0656-x},
}
@conference{Babaketal:11,
title="{SPROS}: An {SDP}-Based Protein Structure
Determination from {NMR} Data",
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz and L. Donaldson and M. Li",
institution="University of Waterloo",
note="poster session at RECOMB2011",
booktitle="URL: compbio.cs.sfu.ca/recomb2011",
address = "Waterloo, Ontario",
URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2011"
}
@article {MR3042029,
AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and
Wolkowicz, H. and Donaldson, L. and Li, M.},
TITLE = {Determining protein structures from {NOESY} distance
constraints by semidefinite programming},
JOURNAL = {J. Comput. Biol.},
FJOURNAL = {Journal of Computational Biology},
VOLUME = {20},
YEAR = {2013},
NUMBER = {4},
PAGES = {296--310},
ISSN = {1066-5277},
MRCLASS = {92D20 (90C22)},
MRNUMBER = {3042029},
DOI = {10.1089/cmb.2012.0089},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089},
}
@techreport{DoanW:11,
author = "Doan, X.V. and Wolkowicz, H.",
title = "Numerical Computations and the $\omega$-Condition Number",
institution="University of Waterloo",
number="CORR 2011-03",
note = "submitted in July, 2011, 19 pages",
address="Waterloo, Ontario",
year="2011"
}
@article{ForbesVrisWolk:11,
author = "Burkowski, F. and Cheung, Y-L. and Wolkowicz, H.",
TITLE = {Efficient use of semidefinite programming for selection of
rotamers in protein conformations},
JOURNAL = {INFORMS J. Comput.},
FJOURNAL = {INFORMS Journal on Computing},
VOLUME = {26},
YEAR = {2014},
NUMBER = {4},
PAGES = {748--766},
ISSN = {1091-9856},
MRCLASS = {92D20 (90C22 90C90)},
MRNUMBER = {3265805},
DOI = {10.1287/ijoc.2014.0596},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/ijoc.2014.0596},
}
############ YEAR 2010
@article{KrukDoanW:10,
author = "Doan, X.V. and Kruk, S. and Wolkowicz, H.",
TITLE = {A robust algorithm for semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {27},
YEAR = {2012},
NUMBER = {4-5},
PAGES = {667--693},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2946052},
MRREVIEWER = {Bogdan Dumitrescu},
DOI = {10.1080/10556788.2011.610456},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/10556788.2011.610456},
}
@article{DingGeWolk:10,
author = "Ding, Y. and Ge, D. and Wolkowicz, H.",
TITLE = {On equivalence of semidefinite relaxations for quadratic
matrix programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {36},
YEAR = {2011},
NUMBER = {1},
PAGES = {88--104},
ISSN = {0364-765X},
MRCLASS = {90C20 (90C22)},
MRNUMBER = {2799394},
MRREVIEWER = {Amir Beck},
DOI = {10.1287/moor.1100.0473},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.1100.0473},
}
############ YEAR 2009
@article{kriswolk:09,
author = {N. Krislock and H. Wolkowicz},
TITLE = {Explicit sensor network localization using semidefinite
representations and facial reductions},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {20},
YEAR = {2010},
NUMBER = {5},
PAGES = {2679--2708},
ISSN = {1052-6234},
MRCLASS = {90C35 (90B10 90C22)},
MRNUMBER = {2678410},
MRREVIEWER = {Michael Patriksson},
DOI = {10.1137/090759392},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/090759392},
}
@article{AlfakihAnjosKPW:08,
author="A.Y. Alfakih and M.F. Anjos and V. Piccialli and H. Wolkowicz",
TITLE = {Euclidean distance matrices, semidefinite programming and
sensor network localization},
JOURNAL = {Port. Math.},
FJOURNAL = {Portugaliae Mathematica. A Journal of the Portuguese
Mathematical Society},
VOLUME = {68},
YEAR = {2011},
NUMBER = {1},
PAGES = {53--102},
ISSN = {0032-5155},
MRCLASS = {51K05 (15A83 90B80 90C22)},
MRNUMBER = {2815953},
DOI = {10.4171/PM/1881},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.4171/PM/1881},
}
############ YEAR 2008
@article{ScTuWominimal:07,
author = "Tun{\c{c}}el, L. and Wolkowicz, H.",
TITLE = {Strong duality and minimal representations for cone
optimization},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {53},
YEAR = {2012},
NUMBER = {2},
PAGES = {619--648},
ISSN = {0926-6003},
MRCLASS = {90C46 (90C22)},
MRNUMBER = {2988175},
MRREVIEWER = {Sorin-Mihai Grad},
DOI = {10.1007/s10589-012-9480-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-012-9480-0},
}
@article {DiKrQiWo:08,
author = "Ding, Y. and
Krislock, N. and Qian, J. and Wolkowicz, H.",
TITLE = {Sensor network localization, {E}uclidean distance matrix
completions, and graph realization},
JOURNAL = {Optim. Eng.},
booktitle = {Optimization and Engineering. International Multidisciplinary
Journal to Promote Optimization Theory \& Applications in
Engineering Sciences},
VOLUME = {11},
YEAR = {2010},
NUMBER = {1},
PAGES = {45--66},
ISSN = {1389-4420},
MRCLASS = {90B10 (90B80 90C22)},
MRNUMBER = {2601732 (2011b:90012)},
MRREVIEWER = {Ning Ruan},
DOI = {10.1007/s11081-008-9072-0},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11081-008-9072-0},
}
@inproceedings{DiKrQiWo:06,
author = "Ding, Y. and
Krislock, N. and Qian, J. and Wolkowicz, H.",
TITLE = {Sensor network localization, {E}uclidean distance matrix
completions, and graph realization},
journal = {ACM},
booktitle = {{MELT'08}: Proceedings of the First {ACM}
International Workshop on Mobile Entity Localization and Tracking in
{GPS}-less Environments},
YEAR = {2008},
PAGES = {129--134},
}
############ YEAR 2007
############ YEAR 2006
@inproceedings{AnDeHaGrWeWolk:06,
author= "M.F. Anjos and M. Desroches and A. Haque and O.
Grodzevich and H. Wei and H. Wolkowicz",
TITLE = {Multi-Stage Investment Decision under Contingent Demand
for Networking Planning},
BOOKTITLE = {Proceedings of the 2006 IEEE GLOBECOM Conference in San
Francisco},
PAGES = {1--5 },
PUBLISHER = {},
ADDRESS = { },
URL = {http://www.ieee-globecom.org/2006/},
YEAR = {2007},
}
@article{PoTuWo:06,
author = "Potaptchik, M. and Tun{\c{c}}el, L. and H. Wolkowicz",
TITLE = {Large scale portfolio optimization with piecewise linear
transaction costs},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {23},
YEAR = {2008},
NUMBER = {6},
PAGES = {929--952},
ISSN = {1055-6788},
MRCLASS = {91B28 (65K10 90C20 90C31 90C51)},
MRNUMBER = {2464694},
MRREVIEWER = {Alexander Engau},
DOI = {10.1080/00207160802263858},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/00207160802263858},
}
@article{DingWolk:06,
author = "Ding, Y. and H. Wolkowicz",
TITLE = {A low-dimensional semidefinite relaxation for the quadratic
assignment problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {34},
YEAR = {2009},
NUMBER = {4},
PAGES = {1008--1022},
ISSN = {0364-765X},
MRCLASS = {90C26 (65K05 65K10 90B80 90C22)},
MRNUMBER = {2573507},
MRREVIEWER = {Wei Hong Yang},
DOI = {10.1287/moor.1090.0419},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.1090.0419},
}
############ YEAR 2005
@article{AlfakihWolk:05,
author="A.Y. Alfakih and H. Wolkowicz",
TITLE = {Some necessary and some sufficient trace inequalities for
{E}uclidean distance matrices},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {55},
YEAR = {2007},
NUMBER = {5},
PAGES = {499--506},
ISSN = {0308-1087},
MRCLASS = {15A45 (15A57)},
MRNUMBER = {2363550},
MRREVIEWER = {K. Veseli\'{c}},
DOI = {10.1080/03081080701241570},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/03081080701241570},
}
@article{GroWo:05,
author="O. Grodzevich and H. Wolkowicz",
TITLE = {Regularization using a parameterized trust region subproblem},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {116},
YEAR = {2009},
NUMBER = {1-2, Ser. B},
PAGES = {193--220},
ISSN = {0025-5610},
MRCLASS = {65J20 (90C90 94A08)},
MRNUMBER = {2421279},
MRREVIEWER = {Akhtar A. Khan},
DOI = {10.1007/s10107-007-0126-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-007-0126-4},
}
############ YEAR 2004
@article {GoWo:04,
author="M. Gonzalez-Lima and H. Wei and H. Wolkowicz",
TITLE = {A stable primal-dual approach for linear programming under
nondegeneracy assumptions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {44},
YEAR = {2009},
NUMBER = {2},
PAGES = {213--247},
ISSN = {0926-6003},
MRCLASS = {90C05 (90C51)},
MRNUMBER = {2556851 (2010i:90056)},
MRREVIEWER = {K. Zimmermann},
DOI = {10.1007/s10589-007-9157-2},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-007-9157-2},
}
@article{homwolkA:04,
author = "Al-Homidan, S. and H. Wolkowicz",
TITLE = {Approximate and exact completion problems for {E}uclidean
distance matrices using semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {406},
YEAR = {2005},
PAGES = {109--141},
ISSN = {0024-3795},
MRCLASS = {90C22},
MRNUMBER = {2156431},
MRREVIEWER = {Anhua Lin},
DOI = {10.1016/j.laa.2005.03.021},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2005.03.021},
}
@article{WeiWolk:06,
author = "H. Wei and H. Wolkowicz",
TITLE = {Generating and measuring instances of hard semidefinite
programs},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {125},
YEAR = {2010},
NUMBER = {1, Ser. A},
PAGES = {31--45},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2718693 (2011h:90105)},
MRREVIEWER = {Didier Henrion},
DOI = {10.1007/s10107-008-0256-3},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-008-0256-3},
}
############ YEAR 2003
@article{ScTuWolk:03,
author = "L. Tun{\c{c}}el and H. Wolkowicz",
TITLE = {Strengthened existence and uniqueness conditions for search
directions in semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {400},
YEAR = {2005},
PAGES = {31--60},
ISSN = {0024-3795},
MRCLASS = {90C22 (15A39)},
MRNUMBER = {2131915},
MRREVIEWER = {Etienne de Klerk},
DOI = {10.1016/j.laa.2004.12.010},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2004.12.010},
}
############ YEAR 2002
############ YEAR 2001
@article{Wolk:01,
author="H. Wolkowicz",
TITLE = {Solving semidefinite programs using preconditioned conjugate
gradients},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {19},
YEAR = {2004},
NUMBER = {6},
PAGES = {653--672},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C52)},
MRNUMBER = {2102220},
MRREVIEWER = {E. Alper Y\i ld\i r\i m},
DOI = {10.1080/1055678042000193162},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/1055678042000193162},
}
@article{AnjosWolk:01,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Geometry of semidefinite max-cut relaxations via matrix
ranks},
NOTE = {New approaches for hard discrete optimization (Waterloo,
ON, 2001)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {6},
YEAR = {2002},
NUMBER = {3},
PAGES = {237--270},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR1920210 (2003h:90057)},
MRREVIEWER = {Jos F. Sturm},
}
@article{FortinWolk:03,
author = "C. Fortin and H. Wolkowicz",
TITLE = {The trust region subproblem and semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {19},
YEAR = {2004},
NUMBER = {1},
PAGES = {41--67},
ISSN = {1055-6788},
MRCLASS = {90C22 (90-06)},
MRNUMBER = {2062235},
MRREVIEWER = {Ya Xiang Yuan},
DOI = {10.1080/10556780410001647186},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556780410001647186},
}
@article{AlWo:01,
author = "A.Y. Alfakih and H. Wolkowicz",
TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale
transform},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {340},
YEAR = {2002},
PAGES = {149--154},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48 52B35)},
MRNUMBER = {MR1869424 (2002i:51010)},
}
############ YEAR 2000
@incollection {AnjosWolkb:00,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Semidefinite programming for discrete optimization and matrix
completion problems},
NOTE = {Workshop on Discrete Optimization, DO'99 (Piscataway, NJ)},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {123},
YEAR = {2002},
NUMBER = {1-3},
PAGES = {513--577},
ISSN = {0166-218X},
MRCLASS = {90C22 (90C27)},
MRNUMBER = {1922345},
MRREVIEWER = {Ji-Ming Peng},
DOI = {10.1016/S0166-218X(01)00352-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0166-218X(01)00352-3},
}
@article{KrWo:00,
author = " S. Kruk and H. Wolkowicz",
TITLE = {Convergence of a short-step primal-dual algorithm based on the
{G}auss-{N}ewton direction},
JOURNAL = {J. Appl. Math.},
FJOURNAL = {Journal of Applied Mathematics},
YEAR = {2003},
NUMBER = {10},
PAGES = {517--534},
ISSN = {1110-757X},
MRCLASS = {90C53 (65K05)},
MRNUMBER = {2013788},
MRREVIEWER = {Heinz H. Bauschke},
DOI = {10.1155/S1110757X03301081},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1155/S1110757X03301081},
}
@article{AnWo:00,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Strengthened semidefinite relaxations via a second lifting for
the {M}ax-{C}ut problem},
NOTE = {Foundations of heuristics in combinatorial optimization},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {119},
YEAR = {2002},
NUMBER = {1-2},
PAGES = {79--106},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C27 (68Q99 68R10 90C22)},
MRNUMBER = {MR1892412 (2003c:90084)},
MRREVIEWER = {Konrad Engel},
}
############ YEAR 1999
@incollection {wolkgap:99,
author = "H. Wolkowicz",
TITLE = {A note on lack of strong duality for quadratic problems with
orthogonal constraints},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {356--364},
ISSN = {0377-2217},
MRCLASS = {90C20 (90C46)},
MRNUMBER = {1940977},
MRREVIEWER = {Franz Rendl},
DOI = {10.1016/S0377-2217(02)00295-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0377-2217(02)00295-3},
}
@article{NaWoZh:97,
author = "J.L. Nazareth and H. Wolkowicz and M. Zhu",
TITLE = {The quasi-{C}auchy relation and diagonal updating},
NOTE = {Dedicated to John E. Dennis, Jr., on his 60th birthday},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {9},
YEAR = {1999},
NUMBER = {4},
PAGES = {1192--1204 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90Cxx (65Fxx)},
MRNUMBER = {1 724 783},
}
@incollection {MR1846167,
AUTHOR = {Anjos, M. F. and Wolkowicz, H.},
TITLE = {Strengthened semidefinite programming relaxations for the
max-cut problem},
BOOKTITLE = {Advances in convex analysis and global optimization
(Pythagorion, 2000)},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {54},
PAGES = {409--420},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2001},
MRCLASS = {90C22 (90C27 90C57)},
MRNUMBER = {MR1846167},
}
############ YEAR 1998
@article{AnChWoYu:98,
author="K.M. Anstreicher and X. Chen and H. Wolkowicz and Y. Yuan",
TITLE = {Strong duality for a trust-region type relaxation of the
quadratic assignment problem},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {301},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {121--136},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90Cxx},
MRNUMBER = {1 728 045}
}
@article{AnWo:98,
author="K.M. Anstreicher and H. Wolkowicz",
title = "On {L}agrangian relaxation of
quadratic matrix constraints",
journal = simax,
volume = "22",
number = "1",
institution="University of Waterloo",
address="Waterloo, Ontario",
year="2000",
pages = "41-55",
}
@article{KrMuReVaWo:98,
author = " S. Kruk and M. Muramatsu and
F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {The {G}auss-{N}ewton direction in semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {15},
YEAR = {2001},
NUMBER = {1},
PAGES = {1--28},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1891034 (2003b:90063)},
MRREVIEWER = {Marina Alex Epelman},
}
@article{KrWo:98,
AUTHOR = {Kruk, S. and Wolkowicz, H.},
TITLE = {Pseudolinear programming},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review},
VOLUME = {41},
YEAR = {1999},
NUMBER = {4},
PAGES = {795--805 (electronic)},
ISSN = {1095-7200},
MRCLASS = {90C08 (90C30)},
MRNUMBER = {2000f:90030},
}
############ YEAR 1997
@article{Wolk:image98,
author="Wolkowicz, H.",
title="Semidefiniteness of a sum: Problem Solution 19-5.5",
journal="IMAGE, The Bulletin of ILAS",
volume="20",
year="1998",
pages="30-31"
}
@article{AlKaWo:97,
author = "A.Y. Alfakih and A. Khandani and H. Wolkowicz",
TITLE = {Solving {E}uclidean distance matrix completion problems
via
semidefinite programming},
NOTE = {A tribute to Olvi Mangasarian},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {12},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {13--30},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C22 (90C25)},
MRNUMBER = {2000e:90042},
MRREVR = {Christian Michelot},
}
@inproceedings{KrWo:97,
author="S. Kruk and H. Wolkowicz",
TITLE = {{S}{Q}$^2${P}, sequential quadratic
constrained quadratic programming},
BOOKTITLE = {Advances in {N}onlinear {P}rogramming (Beijing, 1996)},
PAGES = {177--204},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1998},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {99f:90128},
}
############ YEAR 1996
@article{WoZh:96,
author="H. Wolkowicz and Q. Zhao",
TITLE = {Semidefinite programming relaxations for the graph
partitioning
problem},
NOTE = {Selected for the special Editors' Choice, Edition 1999},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
Optimization and Computer Science},
VOLUME = {96/97},
YEAR = {1999},
PAGES = {461--479},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C35 (15A48 90C22)},
MRNUMBER = {1 724 735},
MRREVR = {Franz Rendl},
}
}
@article {KaReWoZh:94,
AUTHOR = {Zhao, Q. and Karisch, S.E. and Rendl, F. and
Wolkowicz, H.},
TITLE = {Semidefinite programming relaxations for the quadratic
assignment problem},
NOTE = {{S}emidefinite {P}rogramming and {I}nterior-point {A}pproaches for
{C}ombinatorial {O}ptimization {P}roblems (Fields Institute,
Toronto, ON, 1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {71--109},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C26)},
MRNUMBER = {1616871},
MRREVIEWER = {Yin Zhang},
DOI = {10.1023/A:1009795911987},
URL = {https://doi.org/10.1023/A:1009795911987},
}
############ YEAR 1995
@article{JoKrWo:95,
author = "C.R. Johnson and B. Kroschel and H. Wolkowicz",
TITLE = {An interior-point method for approximate positive
semidefinite
completions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {9},
YEAR = {1998},
NUMBER = {2},
PAGES = {175--190},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C25 (90C20)},
MRNUMBER = {99a:90154},
MRREVR = {Michael L. Dowling},
}
@article{RaTuWo:95,
author = "M.V. Ramana and L. Tun{\c{c}}el and H. Wolkowicz",
TITLE = {Strong duality for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3},
PAGES = {641--662},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (49M35 49N15)},
MRNUMBER = {98m:90147},
MRREVR = {J.M. Borwein},
}
@incollection{HePoReWo:95,
author="C. Helmberg and S. Poljak
and F. Rendl and H. Wolkowicz",
TITLE = {Combining semidefinite and polyhedral relaxations for
integer
programs},
BOOKTITLE = {Integer {P}rogramming and {C}ombinatorial {O}ptimization
(Copenhagen,
1995)},
PAGES = {124--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {1 367 976},
}
############ YEAR 1994
@article{ReWo:94,
author = "F. Rendl and H. Wolkowicz",
TITLE = {A semidefinite framework for trust region subproblems with
applications to large scale minimization},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2, Ser. B},
PAGES = {273--299},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C20 (90C33)},
MRNUMBER = {98i:90063},
MRREVR = {M. Teboulle},
}
@article {PoReWo:94,
author = "S. Poljak and F. Rendl and H. Wolkowicz",
TITLE = {A recipe for semidefinite relaxation for
$(0,1)$-quadratic
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science, Management
and
Engineering},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {51--73},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C09 (90C27)},
MRNUMBER = {96d:90053},
MRREVR = {Paulo Barcia},
}
@article {HeReVaWo:93,
author = "C. Helmberg and F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {An interior-point method for semidefinite
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {97f:90086},
MRREVR = {Tam{\'a}s Terlaky},
}
@incollection{prw:93,
author="P. Pardalos and F. Rendl and H. Wolkowicz",
TITLE = {The quadratic assignment problem: a survey and recent
developments},
editor = "P.M. Pardalos and H. Wolkowicz",
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ,
1993)},
PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90B80 (90C10 90C27)},
MRNUMBER = {95f:90040},
MRREVR = {Horst W. Hamacher},
}
############ YEAR 1993
@ARTICLE {FaReWo:92,
author = "J. Falkner and F. Rendl and H. Wolkowicz",
TITLE = {A computational study of graph partitioning},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {211--239},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
MRNUMBER = {95h:90153},
MRREVR = {Yixun Lin},
}
@article{sw5,
author="R. Stern and H. Wolkowicz",
TITLE = {Trust region problems and nonsymmetric eigenvalue
perturbations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {15},
YEAR = {1994},
NUMBER = {3},
PAGES = {755--778},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A18 (15A42 49R05)},
MRNUMBER = {95f:15009},
MRREVR = {Gerd M. Krause},
}
@article{StWo:93,
author="R. Stern and H. Wolkowicz",
TITLE = {Indefinite trust region subproblems and nonsymmetric
eigenvalue
perturbations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {2},
PAGES = {286--313},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C20 (65F15 65K05)},
MRNUMBER = {96h:90077},
MRREVR = {Panos M. Pardalos},
}
@incollection{KaReWo:93,
author="S.E. Karisch and F. Rendl and H. Wolkowicz",
editors="P. Pardalos and H. Wolkowicz",
TITLE = {Trust regions and relaxations for the quadratic
assignment problem},
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ, 1993)},
PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {95j:90053},
MRREVR = {Igor Litvinchev},
}
@article{ReWo:90,
author = "F. Rendl and H. Wolkowicz",
TITLE = {A projection technique for partitioning the nodes of a
graph},
NOTE = {Applied mathematical programming and modeling, II (APMOD
93)
(Budapest, 1993)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {58},
YEAR = {1995},
PAGES = {155--179},
ISSN = {0254-5330},
MRCLASS = {90C35 (05C99)},
MRNUMBER = {96g:90096},
MRREVR = {Xue Liang Li},
}
@article {PoWo:93,
author = "S. Poljak and H. Wolkowicz",
TITLE = {Convex relaxations of $(0,1)$-quadratic
programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {20},
YEAR = {1995},
NUMBER = {3},
PAGES = {550--561},
ISSN = {0364-765X},
MRCLASS = {90C09 (90C20)},
MRNUMBER = {97b:90078},
}
@article{w13,
author="H. Wolkowicz",
TITLE = {Measures for symmetric rank-one updates},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {19},
YEAR = {1994},
NUMBER = {4},
PAGES = {815--830},
ISSN = {0364-765X},
MRCLASS = {90C30 (65F05 65K05)},
MRNUMBER = {95h:90143},
}
@article{WoZh:93,
author="H. Wolkowicz and Q. Zhao",
TITLE = {An all-inclusive efficient region of updates for least
change
secant methods},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {1},
PAGES = {172--191},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {95k:90096},
MRREVR = {Bernd Luderer},
}
@article{Wolk:93,
author="H. Wolkowicz",
TITLE = {Explicit solutions for interval semidefinite linear
programs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {236},
YEAR = {1996},
PAGES = {95--104},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C26 (65G10 90C08)},
MRNUMBER = {96m:90058},
MRREVR = {Florian Jarre},
}
@article {ReVaWo:93b,
author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
title = "Max-min eigenvalue problems, primal-dual
interior point algorithms, and trust region subproblems",
institution = "Department of Combinatorics and Optimization",
year = "1995",
pages = "1-16",
volume = "5",
journal = oms,
address = "Waterloo, Ont"}
@article{DeWo:90,
author="J.E. {Dennis Jr.} and H. Wolkowicz",
TITLE = {Sizing and least-change secant methods},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {30},
YEAR = {1993},
NUMBER = {5},
PAGES = {1291--1314},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {90C30 (49M37 65K05)},
MRNUMBER = {94g:90107},
}
############ YEAR 1992
@article{HaReWo:89,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
TITLE = {A new lower bound via projection for the quadratic
assignment
problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {17},
YEAR = {1992},
NUMBER = {3},
PAGES = {727--739},
ISSN = {0364-765X},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {93i:90080},
MRREVR = {M. C. Puri},
}
@article{hrw2,
author="S.W. Hadley and F. Rendl and H. Wolkowicz",
TITLE = {Symmetrization of nonsymmetric quadratic assignment
problems
and the {H}offman-{W}ielandt inequality},
NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {167},
YEAR = {1992},
PAGES = {53--64},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (15A42 90B80)},
MRNUMBER = {93d:90050},
MRREVR = {Rainer Burkard},
}
@article{jw2,
author="Jeyakumar, V. and Wolkowicz, H.",
TITLE = {Generalizations of {S}later's constraint qualification for
infinite convex programs},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {1, Ser. B},
PAGES = {85--101},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48 (49N15 90C25)},
MRNUMBER = {93e:90070},
MRREVR = {Doug Ward},
}
@inproceedings{biw,
author="Ben-Israel, A. and Wolkowicz, H.",
title="A recursive volume reducing algorithm for semi-infinite
linear programming",
year="1992",
booktitle="Systems and Management Science by Extremal Methods",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
note="invited paper"
}
############ YEAR 1991
############ YEAR 1990
@inproceedings{hrw4,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
title="Bounds for the quadratic assignment problems using continuous
optimization",
year="1990",
booktitle="Integer Programming and Combinatorial Optimization",
publisher="University of Waterloo Press",
pages="237-248",
address="Waterloo, Ontario, Canada",
editors="W.R. Pulleyblank and Ravi Kannan"
}
@article{jw1,
author="Jeyakumar, V. and Wolkowicz, H.",
TITLE = {Zero duality gaps in infinite-dimensional programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {67},
YEAR = {1990},
NUMBER = {1},
PAGES = {87--108},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49N15 (90C48)},
MRNUMBER = {92a:49062},
MRREVR = {R. N. Kaul},
}
@article{stw4,
author="Stern, R.J. and Wolkowicz, H.",
title="Results on invariant cones",
journal=laa,
note="Proceedings from the Haifa Matrix Theory Conference, June 1990",
year="1991",
volume="166",
pages="1-26"
}
############ YEAR 1989
@article{BeatsonWolk:89,
author="R. Beatson and H. Wolkowicz",
TITLE = {Post-processing piecewise cubics for monotonicity},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {26},
YEAR = {1989},
NUMBER = {2},
PAGES = {480--502},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {65D07 (41A05 41A25)},
MRNUMBER = {90i:65019},
MRREVR = {Zhen Xiang Xiong},
}
@article{ReWo:89,
author="Rendl, F. and Wolkowicz, H.",
TITLE = {Applications of parametric programming and eigenvalue
maximization to the quadratic assignment problem},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {53},
YEAR = {1992},
NUMBER = {1, Ser. A},
PAGES = {63--78},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (90C20 90C30)},
MRNUMBER = {93c:90098},
MRREVR = {M. C. Puri},
}
############ YEAR 1988
@article{swz,
author="Sutherland, W.R.S. and Wolkowicz, H. and Zeidan, V.",
TITLE = {An explicit linear solution for the quadratic dynamic
programming problem},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {58},
YEAR = {1988},
NUMBER = {2},
PAGES = {319--330},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49C20 (49D40 90C39 93C55)},
MRNUMBER = {89e:49023},
}
############ YEAR 1987
@incollection{ws5,
author="Wolkowicz, H. and Styan, G.P.H.",
title= "{S}amuelson's Inequality",
booktitle="Encyclopedia of Statistical Sciences",
year="1987",
editor=" S. Kotz and N. Johnson",
publisher="Wiley-Interscience",
Volume="8",
note="invited paper"
}
@article{gjmw4,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Normal matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {87},
YEAR = {1987},
PAGES = {213--225},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57},
MRNUMBER = {88a:15045},
MRREVR = {L. Rodman},
}
############ YEAR 1986
@article{smw2,
author="Smith, P.W. and Wolkowicz, H.",
TITLE = {A nonlinear equation for linear programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {34},
YEAR = {1986},
NUMBER = {2},
PAGES = {235--238},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C05},
MRNUMBER = {87j:90082},
}
@article{BoWo:86,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {A simple constraint qualification in infinite-dimensional
programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {35},
YEAR = {1986},
NUMBER = {1},
PAGES = {83--96},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48},
MRNUMBER = {87i:90321},
MRREVR = {W. W. Breckner},
}
@article{gjmw3,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and
Wolkowicz, H.",
TITLE = {A note on maximizing the permanent of a positive definite
{H}ermitian matrix, given the eigenvalues},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {19},
YEAR = {1986},
NUMBER = {4},
PAGES = {389--393},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A15},
MRNUMBER = {88b:15006},
MRREVR = {H. Minc},
}
############ YEAR 1985
@article{mw,
author="J. Merikoski and H. Wolkowicz",
TITLE = {Improving eigenvalue bounds using extra bounds},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {68},
YEAR = {1985},
PAGES = {93--113},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {87e:15038},
}
@article{lw,
author="M. Lamoureux and H. Wolkowicz",
TITLE = {Numerical decomposition of a convex function},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {47},
YEAR = {1985},
NUMBER = {1},
PAGES = {51--64},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25 (26A51)},
MRNUMBER = {87a:90107},
MRREVR = {Jacques A. Ferland},
}
@article{jkw,
author="Johnson, C.R. and Kumar, R. and Wolkowicz, H.",
TITLE = {Lower bounds for the spread of a matrix},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {71},
YEAR = {1985},
PAGES = {161--173},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42},
MRNUMBER = {87a:15027},
MRREVR = {Thomas L. Markham},
}
@article{bjw,
author="Butler, G. and Johnson, C.R. and Wolkowicz, H.",
TITLE = {Nonnegative solutions of a quadratic matrix equation
arising
from comparison theorems in ordinary differential
equations},
JOURNAL = {SIAM J. Algebraic Discrete Methods},
FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Algebraic and Discrete Methods},
VOLUME = {6},
YEAR = {1985},
NUMBER = {1},
PAGES = {47--53},
ISSN = {0196-5212},
CODEN = {STAMDU},
MRCLASS = {34C11 (15A48)},
MRNUMBER = {86f:34072},
MRREVR = {G. J. Etgen},
}
############ YEAR 1984
@article{smw1,
author="Smith, P.W. and Wolkowicz, H.",
TITLE = {Dimensionality of bi-infinite systems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {57},
YEAR = {1984},
PAGES = {115--130},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A21 15A54 41A05)},
MRNUMBER = {86c:15010},
}
@article{gjmw2,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Improving {H}adamard's inequality},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {16},
YEAR = {1984},
NUMBER = {1-4},
PAGES = {305--322},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A42 (15A15 15A45)},
MRNUMBER = {87b:15024},
}
@article{GrJoSaWo:84,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
@article{Grone,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
############ YEAR 1983
@article{msw,
author="Merikoski, J. and Styan, G.P.H. and Wolkowicz, H.",
TITLE = {Bounds for ratios of eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {55},
YEAR = {1983},
PAGES = {105--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {85a:15019},
MRREVR = {Ludwig Elsner},
}
@incollection{w5,
author ="H. Wolkowicz",
TITLE = {Optimality conditions and shadow prices},
BOOKTITLE = {Mathematical programming with data perturbations, II
(Washington, D.C., 1980)},
PAGES = {49--63},
PUBLISHER = {Dekker},
ADDRESS = {New York},
YEAR = {1983},
MRCLASS = {90C25},
MRNUMBER = {85b:90056},
MRREVR = {J. E. Spingarn},
}
@article{w4,
author="H. Wolkowicz",
TITLE = {Method of reduction in convex programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {40},
YEAR = {1983},
NUMBER = {3},
PAGES = {349--378},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {85d:90077},
MRREVR = {S. Zlobec},
}
@article{w3,
author="H. Wolkowicz",
TITLE = {An optimality condition for a nondifferentiable convex
program},
JOURNAL = {Naval Res. Logist. Quart.},
FJOURNAL = {Naval Research Logistics Quarterly},
VOLUME = {30},
YEAR = {1983},
NUMBER = {3},
PAGES = {415--418},
ISSN = {0028-1441},
CODEN = {NRLQAR},
MRCLASS = {90C25},
MRNUMBER = {85a:90181},
}
############ YEAR 1982
@article{bw4,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterizations of optimality without constraint
qualification for the abstract convex program},
NOTE = {Optimality and stability in mathematical programming},
JOURNAL = {Math. Programming Stud.},
FJOURNAL = {Mathematical Programming Study},
volume = {19},
YEAR = {1982},
PAGES = {77--100},
ISSN = {0303-3929},
CODEN = {MPSTDF},
MRCLASS = {90C25},
DOI = {10.1007/BFb0120983},
MRNUMBER = {83k:90083},
URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/q484808423l21876/}
}
############ YEAR 1981
@article{w12,
author="H. Wolkowicz",
TITLE = {A strengthened test for optimality},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {35},
YEAR = {1981},
NUMBER = {4},
PAGES = {497--515},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {84d:90088},
MRREVR = {Szymon Dolecki},
}
@article{bw1,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Facial reduction for a cone-convex programming problem},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {3},
PAGES = {369--380},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C25},
MRNUMBER = {83b:90121},
MRREVR = {B. T. Polyak},
}
@article{bw2,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterization of optimality for the abstract convex
program
with finite-dimensional range},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {4},
PAGES = {390--411},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C48},
MRNUMBER = {83i:90156},
MRREVR = {R. L. Graves},
}
@article{bw3,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Regularizing the abstract convex program},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {83},
YEAR = {1981},
NUMBER = {2},
PAGES = {495--530},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C48 (90C25)},
MRNUMBER = {83d:90236},
MRREVR = {S. Zlobec},
}
@article{w11,
author="H. Wolkowicz",
TITLE = {Some applications of optimization in matrix theory},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {40},
YEAR = {1981},
PAGES = {101--118},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C25 (15A48 65K05 90C05)},
MRNUMBER = {84a:90067},
}
@inproceedings{bw6,
author="J.M. Borwein and H. Wolkowicz",
title="Cone-convex programming stability and affine constraint functions",
year="1981",
booktitle="Generalized Concavity in Optimization and Economics",
publisher="Academic Press",
pages="379-397",
note="invited paper",
organization="NATO conference"
}
############ YEAR 1980
@article{w8,
author="H. Wolkowicz",
TITLE = {Geometry of optimality conditions and constraint
qualifications: the convex case},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {19},
YEAR = {1980},
NUMBER = {1},
PAGES = {32--60},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C25},
MRNUMBER = {83b:90130},
}
@article{ws3,
author="Wolkowicz, H. and Styan, G.P.H",
title="A history of {S}amuelson's inequality",
journal=amers,
year="1980",
volume="34",
pages="250"
}
@article{w10,
author="H. Wolkowicz",
TITLE = {Shadow prices for an unstable convex program},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied
Mathematics, Computer Science, and Statistics},
VOLUME = {18},
YEAR = {1980},
PAGES = {119--139},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {90C25},
MRNUMBER = {82d:90100},
MRREVR = {Roger Hartley},
}
@article{ws1,
author="Wolkowicz, H. and Styan, G.P.H",
TITLE = {More bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {31},
YEAR = {1980},
PAGES = {1--17},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18 (65F15)},
MRNUMBER = {81k:15016},
MRREVR = {J. Segethov{\'a}},
}
@article{ws2,
author="Wolkowicz, H. and Styan, G.P.H.",
TITLE = {Bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {29},
YEAR = {1980},
PAGES = {471--506},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18},
MRNUMBER = {81k:15015},
MRREVR = {M. Shafqat Ali},
}
@article{w2,
author="H. Wolkowicz",
TITLE = {Convex programs with equivalent duals},
JOURNAL = {Appl. Math. Notes},
FJOURNAL = {Applied Mathematics Notes},
VOLUME = {5},
YEAR = {1980},
NUMBER = {2},
PAGES = {45--62},
ISSN = {0700-9224},
MRCLASS = {90C25},
MRNUMBER = {81h:90121},
}
############ YEAR 1979
@article{ws4,
author="Wolkowicz, H. and Styan, G.P.H.",
TITLE = {Extensions of {S}amuelson's inequality},
JOURNAL = {Amer. Statist.},
FJOURNAL = {The American Statistician},
VOLUME = {33},
YEAR = {1979},
NUMBER = {3},
PAGES = {143--144},
ISSN = {0003-1305},
CODEN = {ASTAAJ},
MRCLASS = {62G30 (60E15)},
MRNUMBER = {80h:62038},
}
@article{w1,
author="H. Wolkowicz",
TITLE = {Calculating the cone of directions of constancy},
JOURNAL = {J. Optim. Theory Appl.},
VOLUME = {25},
YEAR = {1978},
NUMBER = {3},
PAGES = {451--457},
MRCLASS = {90C25},
MRNUMBER = {58 #25996},
}
@article{wz,
author="Wolkowicz, H. and Zlobec, S.",
TITLE = {Calculating the best approximate solution of an operator
equation},
JOURNAL = {Math. Comp.},
VOLUME = {32},
YEAR = {1978},
NUMBER = {144},
PAGES = {1183--1213},
MRCLASS = {65J05 (47A50)},
MRNUMBER = {58 #13701},
MRREVR = {P. M. Anselone},
}
@article{stw3,
author="Stern, R.J. and H. Wolkowicz",
TITLE = {A note on generalized invariant cones and the {K}ronecker
canonical form},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {147},
YEAR = {1991},
PAGES = {97--100},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A18 15A48)},
MRNUMBER = {92e:15018},
}
@article{stw2,
author="Stern, R.J. and Wolkowicz, H.",
TITLE = {Exponential nonnegativity on the ice cream cone},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {12},
YEAR = {1991},
NUMBER = {1},
PAGES = {160--165},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A48},
MRNUMBER = {92j:15013},
MRREVR = {Raphael Loewy},
}
@article{stw1,
author="Stern, R.J. and Wolkowicz, H.",
TITLE = {Invariant ellipsoidal cones},
BOOKTITLE = {Proceedings of the First Conference of the International
Linear
Algebra Society (Provo, UT, 1989)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {150},
YEAR = {1991},
PAGES = {81--106},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {92h:15014},
MRREVR = {Raphael Loewy},
}
############
#### Problems and Solutions
######
%Refereed Problems and Solutions
@article{Wolk:siam94,
author="Wolkowicz, H.",
title="Problem Solution 93-17",
journal="SIAM Review",
volume="36",
number="4",
year="1994",
pages="657-659"
}
@article{jww,
author="Johnson, C.R. and Wolkowicz, G. and Wolkowicz, H.",
title= "Elem. Prob. E. 3234",
journal=amerm,
year="1987",
volume="94",
pages="877"
}
@article{bsw,
author="Borwein, J.M. and Styan, G.P.H. and Wolkowicz, H.",
title="Some inequalities involving statistical expressions",
journal="SIAM Review",
year="1982",
volume="24",
pages="340-342"
}
@article{w14,
author="H. Wolkowicz",
title="A constrained matrix optimization problem",
journal="SIAM Review 23",
year="1981",
volume="101"
}
############
#### THESES
######
@phdthesis{w15,
author="H. Wolkowicz",
title="Constructive approaches to approximate solutions of
operator equations and convex programming",
school="McGill University",
year="1978"
}
@mastersthesis{w9,
author="H. Wolkowicz",
title= "Kantorovich's general theory of approximation methods",
school="McGill University",
year="1975",
note="M.Sc. Thesis"
}
############
#### Unpublished Research Reports... book reviews ... problems ...
######
@article{piccwolk:05,
author="Piccialli, V. and Wolkowicz, H.",
title= "Solution to Problem 34-6.1",
journal="{IMAGE}-The Bulletin of the International
Linear Algebra Society",
year="2005",
volume="35",
pages="33-34"
}
@article{wolkieee:2006,
author="H. Wolkowicz",
title = "Book Review of: {O}ptimization: {I}nsights and {A}pplications, by
{B}rinkhuis and {T}ikhomirov",
journal="IEEE Control Systems Magazine",
pages = "",
year="2007",
}
@techreport{AlWo:98,
author = "A.Y. Alfakih and H. Wolkowicz",
title = "On the embeddability of weighted graphs in
{E}uclidean spaces",
institution = "University of Waterloo",
number = "CORR 98-12",
year = "1998",
}
@techreport{Wo:00,
author = "A.Y. Alfakih and H. Wolkowicz",
title = "A New Semidefinite Programming Model
for Large Sparse
{E}uclidean Distance Matrix Completion Problems",
institution = "University of Waterloo",
number = "CORR 2000-37",
year = "2000",
address = "Waterloo, Canada"
}
@techreport{CheungKrislWo:10,
author = "Cheung, Y-L. and Krislock, N. and Wolkowicz, H.",
title = "Facial Reduction for Compressive Sensing",
institution="University of Waterloo",
number="CORR 2010",
note = "in progress",
address="Waterloo, Ontario",
year="2010"
}
@techreport{AnWo:99,
author="M.F. Anjos and H. Wolkowicz",
title = "A STRENGTHENED {SDP} RELAXATION via a SECOND LIFTING
for the {M}AX-{C}UT PROBLEM",
institution="University of Waterloo",
number="CORR 99-55",
note = "28 pages",
address="Waterloo, Ontario",
year="1999",
}
@techreport{GrKrReWo:98,
author="G. Gruber and S. Kruk and F. Rendl and H. Wolkowicz",
title = "Presolving for
Semidefinite Programs Without
Constraint Qualifications",
institution="University of Waterloo",
number="CORR 98-32",
address="Waterloo, Ontario",
year="1998",
}
@techreport{AnjosHighWolk:01,
author="M.F. Anjos and N. Krislock and M. Takouda and H. Wolkowicz",
title = "A semidefinite programming approach for the closest
correlation matrix problem",
institution="University of Waterloo",
number="in progress",
address="Waterloo, Ontario",
year="2009",
}
@techreport{KrislockRendlWolk:10,
author = "Krislock, N. and Rendl, F. and Wolkowicz, H.",
title = "Noisy Sensor Network Localization
using Semidefinite Representations and Facial Reduction",
institution="University of Waterloo",
number="CORR 2010-01, in progress",
address="Waterloo, Ontario",
year="2010"
}
@article {MR2295140forward,
AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207--209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {2295140},
DOI = {10.1007/s10107-006-0037-9},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-006-0037-9},
}
@techreport{hw,
author="Hadley, S.W. and Wolkowicz, H.",
title="The {H}essian of a function of the eigenvalues",
institution="University of Waterloo",
year="1988",
type="Unpublished Research Report"
}
@techreport{wb2,
author="Wolkowicz, H. and Ben-Israel, A.",
title="Taking advantage of degeneracy in linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-23"
}
@techreport{wb1,
author="Wolkowicz, H. and Ben-Israel, A.",
title="A volume and constraint reducing algorithm for linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-29"
}
@techreport{h9,
author="H. Wolkowicz",
title="Generating eigenvalue bounds using optimization",
institution="University of Waterloo",
year="1985",
type="Unpublished Research Report"
}
@techreport{scw,
author="Schoettle, C. and Wolkowicz, H.",
title="The teaching assignment problem",
institution="Emory University",
year="1985",
type="Unpublished Research Report"
}
@techreport{gjmw5,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
title="Constrained ranges of sesquilinear forms",
institution="University of Waterloo",
year="1983",
type="Unpublished Research Report"
}
@techreport{w7,
author="H. Wolkowicz",
title="Bounds for the {K}antorovich ratio",
institution="The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{maw,
author="H. Massam and H. Wolkowicz",
title= "Regularization and convex approximation",
institution=" The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{w6,
author="H. Wolkowicz",
title="Optimality and the cone of affine directions",
institution=" The University of Alberta",
year="1980",
type="Unpublished Research Report"
}
%Other:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%Research Reports and Preface and Book Reviews etc...%%%%%%%%%%%%%%%%%
@techreport{FortinWolk:01,
author = "C. Fortin and H. Wolkowicz",
title = "A Survey of the Trust Region Subproblem Within a
Semidefinite Programming Framework",
institution = "University of Waterloo",
number = "CORR 2002-22",
year = "2002",
note="URL:http://orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#surveytrs",
address = "Waterloo, Canada"
}
@techreport{AlWolk:02,
author = "A.Y. Alfakih and H. Wolkowicz",
title = "{E}uclidean Distance Matrices and the
Molecular Conformation Problem",
institution="University of Waterloo",
number="17",
address="Waterloo, Ontario",
year="2002"
}
@techreport{Wolk:02,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
institution="University of Waterloo",
number="4",
address="Waterloo, Ontario",
year="2002"
}
@techreport{ReSoWo:02,
author = "F. Rendl and R. Sotirov and H. Wolkowicz",
title = "A Note on a Simplified {HKM} Direction
for Special Classes of {SDP}",
institution = "University of Waterloo",
number = "CORR Report 2002-16",
year = "2002",
address = "Waterloo, Canada"
}
@techreport{KrPiWo:06,
author = "Krislock, N. and Piccialli, V. and H. Wolkowicz",
title = "Robust Semidefinite Programming Approaches for
Sensor Network Localization with Anchors",
institution="University of Waterloo",
number="CORR 2006-12",
note="URL:orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#sensorKPW",
address="Waterloo, Ontario",
year="2006"
}
@article {MR2295140,
AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
}
@article {MR2290680,
AUTHOR = {
R. Bhatia and R. Guralnick and S. Kirkland and
H. Wolkowicz},
TITLE = {Preface to the 12th {ILAS} {C}onference {P}roceedings,
{R}egina 2005},
NOTE = {Held in Regina, SK, June 26--29, 2005},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {421},
YEAR = {2007},
NUMBER = {1},
PAGES = {1--2},
ISSN = {0024-3795},
MRCLASS = {15-06},
MRNUMBER = {2290680},
DOI = {10.1016/j.laa.2006.10.023},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2006.10.023},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Graduate Students Theses:
@mastersthesis{JeffCheng:23,
author="Jeffrey Cheng",
title="Semidefinite Programming Relaxations of the Simplified
Wasserstein Barycenter Problem: An {ADMM} Approach",
school="University of Waterloo",
URL={https://uwspace.uwaterloo.ca/handle/10012/19416},
year="2023"
}
@mastersthesis{NaomiGraham:20,
author="Naomi Graham",
title="A Blueprint for Semidefinite Relaxations of Binary-Constrained
Quadratic Programs",
school="University of Waterloo",
URL={https://www.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisADMM_QAP.pdf},
year="2020"
}
@mastersthesis{MingyuYang:19,
author="Mingyu. Yang",
title="Uncertainty Set Sizes, Sensitivity Analysis, in Robust Portfolio
Optimization",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/MingyuYangCM-eresearchpaper-printcopy.pdf},
year="2019"
}
@mastersthesis{RyanHughes:19,
author="Ryan Hughes",
title="Updated Stable Method for LP",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/UpdatedStableMethod_RyanHughes_UWformat.pdf},
year="2019"
}
@phdthesis{HaesolIm:2022,
author="H. Im",
title="Implicit Loss of Surjectivity and Facial Reduction: Theory and
Applications",
school="University of Waterloo",
publisher={UWSpace},
year="2023"
}
@mastersthesis{XuetongWang:22,
author="Xuetong Wang",
title="Splitting Methods in Convex Programming",
school="University of Waterloo",
year="2022"
}
@phdthesis{Sremac:2019,
author="S. Sremac",
title="Error bounds and singularity degree in semidefinite programming",
school="University of Waterloo",
publisher={UWSpace},
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/stefanphdthesisdec.pdf},
year="2019"
}
@mastersthesis{HaesolIm:19,
author="H. Im",
title="Sensitivity Analysis and Robust Optimization:
A Geometric Approach for the Special Case of
Linear Optimization",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/sunethesis.pdf},
year="2018"
}
@mastersthesis{HaoSun:16,
author="H. Sun",
title="{ADMM} for {SDP} Relaxation of {GP}",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/sunethesis.pdf},
year="2016"
}
@mastersthesis{ZhenyuLiao:16,
author="Z. Liao",
title="Branch and Bound via {ADMM} for the Quadratic Assignment Problem",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/alisterthesis.pdf},
year="2016"
}
@mastersthesis{XinghangYe:16,
author="X. Ye",
title="Low Rank Matrix Completion through Semi-definite Programming with
Facial Reduction",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/xinghangthesis.pdf},
year="2016"
}
@phdthesis{Cheung:2013,
author="Y.-L. Cheung",
title="Preprocessing and Reduction for Semidefinite Programming via
Facial Reduction: Theory and Practice",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisvrisnov13.pdf},
year="2013"
}
@phdthesis{Lin:2013,
author="M. Lin",
title="Angles, Majorization, Wielandt Inequality and Applications",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesismingmay613.pdf},
year="2013"
}
@phdthesis{krislock:2010,
author="N. Krislock",
title="Semidefinite Facial Reduction for Low-Rank {E}uclidean Distance
Matrix Completion",
school="University of Waterloo",
URL={http://uwspace.uwaterloo.ca/handle/10012/5093},
year="2010"
}
@phdthesis{wei:2005,
author="H. Wei",
title="Numerical Stability in
Linear Programming and Semidefinite Programming",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#weithesis},
year="2006"
}
@phdthesis{MarinaThesis,
author="M. Potaptchik",
title="Portfolio Selection Under Nonsmooth Convex
Transaction Costs",
school="University of Waterloo",
year="2006"
}
@phdthesis{Kruk:01,
author="S. Kruk",
title="High Accuracy Algorithms for the Solutions of Semidefinite
Linear Programs",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01},
year="2001"
}
@mastersthesis{Oleg:04,
author="O. Grodzevich",
title="Regularization Using a Parameterized Trust Region Subproblem",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#regularizthesis},
year="2004"
}
@mastersthesis{Yichuan:07,
author="Y. Ding",
title="On Efficient Semidefinite Relaxations for Quadratically
Constrained Quadratic Programming",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#yichuanthesis},
year="2007"
}
@mastersthesis{Danielc:10,
author="X. Cui",
title="Computing the Nearest Correlation Matrix using Difference Map
Method",
school="University of Waterloo",
year="2010"
}
@mastersthesis{HengYe:11,
author="H. Ye",
title="Efficient Trust Region Subproblem Algorithms",
school="University of Waterloo",
year="2011"
}
@mastersthesis{Fortin:00,
author="C. Fortin",
title="A Survey of the Trust Region Subproblem within a Semidefinite
Framework",
school="University of Waterloo",
year="2000"
}
@mastersthesis{Froh:03,
author="M. Froh",
title="Trust Region Subproblems and Linear Least-Squares
Regularization",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#mikefroh03},
year="2003"
}
@mastersthesis{Kruk:96,
author="S. Kruk",
title="Semidefinite Programming Applied to Nonlinear Programming",
school="University of Waterloo",
year="1996"
}
@phdthesis{zhao:96,
author="Q. Zhao",
title="Semidefinite Programming for Assignment and Partitioning Problems",
school="University of Waterloo",
year="1996"
}
@phdthesis{Anjosthesis,
author="M.F. Anjos",
title="New Convex Relaxations for the Maximum Cut and VLSI Layout
Problems",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01},
year="2001"
}
@mastersthesis{qz,
author="Q. Zhao",
title="Measures for Least Change Secant Methods",
school="University of Waterloo",
year="1993",
}
@mastersthesis{schaecke:04,
author="K. Schaecke",
title="Essay on: The {K}ronecker Product",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#kron04},
year="2004",
}
@mastersthesis{skarisch:92,
author="S.E. Karisch",
title="Trust Regions and the Quadratic Assignment Problem",
school="University of Waterloo",
year="1992"
}
@phdthesis{hadley:89,
author="S.W. Hadley",
title="Continuous Optimization Approaches to the Quadratic Assignment Problem",
school="University of Waterloo",
year="1989"
}
@mastersthesis{lund:88,
author="J. Lund",
title="Optimal Vehicle Replacement Policy",
school="University of Waterloo",
year="1988"
}
@mastersthesis{stephan:85,
author="P. Stephan",
title="An Explicit Solution to the Quadratic Dynamic Programming Problem",
school="Emory University",
year="1985"
}
@mastersthesis{schoettle:85,
author="C. Schoettle",
title="The Teaching Assignment Problem",
school="Emory University",
year="1985"
}
@mastersthesis{kumar:84,
author="R. Kumar",
title="Bounds for Eigenvalues",
school="University of Alberta",
year="1984"
}
.psdpriv.bib 0000640 0010230 0010230 00001744532 14555567605 014146 0 ustar hwolkowi hwolkowicz # The file .psdpriv.bib contains papers related to SDP.
# PLEASE do NOT use the file .psdpriv.bib in the latex bibl. line in latex file.
# The bib entries are combined with those in .publs.bib in .psd.bib
# Use the .psd.bib file and NOT .psdpriv.bib or .publs.bib
# This file is also available at:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
# as part of: Bibliographies on Mathematics
# Bibliography on Semidefinite Programming
# with URL http://liinwww.ira.uka.de/bibliography/Math/psd.html
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
###########
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@mastersthesis {Aarts:99,
author = "L. AARTS",
title = "Primal-Dual Search Directions in Semidefinite
Optimization",
school = "Delft University of Technology",
year = "1999"}
@article {MR98d:90100,
AUTHOR = {El Abdouni, B. and Thibault, L.},
TITLE = {Optimality conditions for problems with set-valued
objectives},
JOURNAL = {J. Appl. Anal.},
FJOURNAL = {Journal of Applied Analysis},
VOLUME = {2},
YEAR = {1996},
NUMBER = {2},
PAGES = {183--201},
ISSN = {1425-6908},
MRCLASS = {90C29 (49J52)},
MRNUMBER = {98d:90100},
MRREVIEWER = {Tetsuzo Tanino},
}
@TECHREPORT {AdlerAliz:95,
author = "I. ADLER and F. Alizadeh",
title = "Primal-dual interior point algorithms for convex
quadratically constrained and semidefinite optimization problems",
year = "1995",
institution = "Rutcor, Rutgers University",
address = " New Brunswick, NJ"
}
@article{AdlerMonteiro,
author = {I. ADLER and R.D.C. Monteiro},
title = {A geometric view of parametric linear
programming},
journal = {Algorithmica},
volume = 8,
pages = {161-176},
year = 1992}
@article {AgHeMc:88,
author = "J. AGLER and J.W. HELTON and S. McCULLOUGH",
title = "Positive semidefinite matrices with a given
sparsity pattern",
journal = laa,
year = "1988",
volume = "107",
number = "3",
pages = "101-149"
}
@article{214841,
author = {Alpert, C.J. and Kahng, A.B.},
title = {Recent directions in netlist partitioning: a survey},
journal = {Integr. VLSI J.},
volume = {19},
number = {1-2},
year = {1995},
issn = {0167-9260},
pages = {1--81},
doi = {http://dx.doi.org/10.1016/0167-9260(95)00008-4},
publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
}
@PHDTHESIS {Alhom:93,
author = "S. Al-Homidan",
title = "Hybrid methods for optimization problems
with positive semidefinite matrix constraints",
school = "University of Dundee",
year = "1993"}
@techreport {homidan:03,
author = "M.M. ALSHAHRANI and S. AL-HOMIDAN",
title = "New Formulations of the Hankel Matrix Approximation
Problem",
institution = "King Fahd University of Petroleum \& Minerals",
address = "Dhahran, Saudia Arabia",
year = "2003"
}
@techreport {ZhouLiWrightCandesMa:10,
author = "Z. Zhou and X. Li and J. Wright and E. Candes and
Y. Ma",
title = "Stable principal component pursuit",
institution = "UIUC",
address = "Urbana, IL",
year = "2010"
}
@article {homidan:06,
author = "S. AL-HOMIDAN and R. FLETCHER",
title = "Rationalizing Foot and Ankle
Measurements to Conform to a Rigid Body Model",
journal = "Computer Methods in
Biomechanics and Biomedical",
volume = "9",
number = "2",
pages = "103-111",
year = "2006"
}
@book {MR3887551,
AUTHOR = {Alfakih, Abdo Y.},
TITLE = {Euclidean distance matrices and their applications in rigidity
theory},
PUBLISHER = {Springer, Cham},
YEAR = {2018},
PAGES = {xiv+251},
ISBN = {978-3-319-97845-1; 978-3-319-97846-8},
MRCLASS = {15-02 (15A18 15B57 52C25)},
MRNUMBER = {3887551},
MRREVIEWER = {Ravindra B. Bapat},
DOI = {10.1007/978-3-319-97846-8},
URL = {https://doi.org/10.1007/978-3-319-97846-8},
}
@article {Alfak:00,
author = "A. Alfakih",
title = "Graph rigidity via {E}uclidean distance
matrices",
journal = laa,
year = "2000",
pages = "49-165",
number = "1-3",
volume = "310",
}
@PHDTHESIS {Al:91,
author = "F. Alizadeh",
title = "Combinatorial optimization with interior
point methods and semidefinite matrices",
school = "University of Minnesota",
year = "1991"}
@INCOLLECTION {Al:92,
author = "F. Alizadeh",
title = "Optimization Over Positive Semi-Definite Cone;
Interior-Point Methods and Combinatorial Applications",
booktitle = "Advances in Optimization and
Parallel Computing",
publisher = "North--Holland",
year = "1992",
editor = "P.M. Pardalos",
pages = "1-25",
}
@techreport {Alizadehnotes:00,
author = "F. Alizadeh",
title = "Lecture Notes on semidefinite programming",
institution = "Rutgers University",
address = " Piscataway, NJ",
note = "URL: karush.rutgers.edu/\~{ }alizadeh/",
year = "2000"
}
@article {Al:94,
author = "F. Alizadeh",
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%FACES of CONE faces of cones
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PAGES = {597--611},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {1 778 431},
note="projects.coin-or.org/Csdp",
}
@article {Borchers:99b,
author = "B. Borchers",
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JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {11},
YEAR = {1999},
NUMBER = {1},
PAGES = {683--690},
ISSN = {1055-6788},
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MRNUMBER = {1 778 431},
}
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Narayan and A. Pascoe and K. Steinmetz and B.D. Sutton and
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collaboration = {},
title = {On the Minimum Rank Among Positive Semidefinite Matrices with a
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publisher = {SIAM},
year = {2008},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = {30},
number = {2},
pages = {731-740},
keywords = {rank; positive semidefinite; graph of a matrix},
url = {http://link.aip.org/link/?SML/30/731/1},
doi = {10.1137/050629793}
}
@techreport {BotCsetnek:10,
author = "R.I.Bot and E.R.Csetnek",
title = "Error bound results for convex inequality systems
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institution = "Chemnitz University of Technology",
year = "2010",
address = "Chemnitz, Germany"
}
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YEAR = {1999},
PAGES = {283--299},
ISSN = {0168-9274},
CODEN = {ANMAEL},
}
@incollection {MR99c:90143,
author = "L. Vandenberghe and S. Boyd",
TITLE = {Connections between semi-infinite and semidefinite programming},
BOOKTITLE = {Semi-infinite programming},
PAGES = {277--294},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1998},
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author = "L. Vandenberghe and S. Boyd",
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VOLUME = {38},
YEAR = {1996},
NUMBER = {1},
PAGES = {49--95},
ISSN = {0036-1445},
CODEN = {SIREAD},
}
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author = "L. Vandenberghe and S. Boyd",
TITLE = {A primal-dual potential reduction method for problems involving
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JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {69},
YEAR = {1995},
NUMBER = {1, Ser. B},
PAGES = {205--236},
ISSN = {0025-5610},
CODEN = {MHPGA4},
}
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author = "L. Vandenberghe and S. Boyd",
title = "Positive Definite Programming",
booktitle = "Mathematical Programming: State of the Art, 1994",
year = "1994",
pages = "276-308",
publisher = "The University of Michigan" }
@inproceedings{VaB:93b,
author={L. Vandenberghe and S. Boyd},
title={A polynomial-time algorithm for determining quadratic
{L}yapunov functions for nonlinear systems},
booktitle = {Eur. Conf. Circuit Th. and Design},
year = {1993},
pages = {1065-1068}
}
@article {VBW:98,
AUTHOR = {Vandenberghe, L. and Boyd, S. and WU, S.-P.},
TITLE = {Determinant maximization with linear matrix inequality
constraints},
JOURNAL = simax,
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VOLUME = {19},
YEAR = {1998},
NUMBER = {2},
PAGES = {499--533},
ISSN = {1095-7162},
}
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title= {{SP}: Software for Semidefinite Programming.
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author= {L. Vandenberghe and S. Boyd},
year= {1994},
organization= {K.U. Leuven and Stanford University},
month = oct
}
@book {BoB:91,
AUTHOR = {S. Boyd and C. H. BARRATT},
TITLE = {Linear Controller Design. Limits of Performance},
PUBLISHER = {Prentice-Hall},
YEAR = {1991},
}
@manual{BoW:95,
title= {{SDPSOL:} A Parser/Solver for
Semidefinite Programs with Matrix Structure.
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author= {S. Boyd and S. WU},
year= {1995},
organization= {Stanford University},
month = mar
}
@techreport {XiaoBoyd:03,
author = "L. XIAO and S. Boyd",
title = "Fast Linear Iterations for Distributed Averaging",
institution = "Stanford University",
year = "2003",
address = "Stanford, CA"
}
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author={S. Boyd and V. Balakrishnan and
E. Feron and L. {El~{G}haoui}},
title={Control system analysis and synthesis via linear matrix
inequalities},
journal = {{Proc. ACC}},
volume = {},
year={1993},
pages= {2147-2154}
}
@BOOK {BoGhFeBa:94,
author={S. Boyd and L. {El~{G}haoui} and E. Feron and
V. Balakrishnan},
TITLE = {Linear matrix inequalities in system and control theory},
SERIES = {SIAM Studies in Applied Mathematics},
VOLUME = {15},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1994},
PAGES = {xii+193},
ISBN = {0-89871-334-X},
MRCLASS = {93-02 (15A39 49N10 65F05 93C05 93D05)},
MRNUMBER = {1284712 (95f:93001)},
MRREVIEWER = {M. M. Konstantinov},
}
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TITLE = {Advances in linear matrix inequality methods in control},
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PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2000},
PAGES = {xviii+372},
ISBN = {0-89871-438-9},
MRCLASS = {93-06 (90C22 90C90 93B36 93B40)},
MRNUMBER = {2000h:93004},
}
@incollection {cvx,
AUTHOR = {Grant, M. and Boyd, S. and Ye, Y.},
TITLE = {Disciplined convex programming},
BOOKTITLE = {Global optimization},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {84},
PAGES = {155--210},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2006},
MRCLASS = {90C25},
MRNUMBER = {2206954 (2006j:90062)},
DOI = {10.1007/0-387-30528-9_7},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/0-387-30528-9_7},
}
@misc{cvxunpubl,
author = {M. Grant and S. Boyd},
title = {{CVX}: {MATLAB} Software for Disciplined Convex
Programming, version 1.21},
howpublished = {\url{http://cvxr.com/cvx}},
month = apr,
year = 2011
}
@incollection{gb08,
author = {M. Grant and S. Boyd},
title = {Graph implementations for nonsmooth convex programs},
booktitle = {Recent Advances in Learning and Control},
series = {Lecture Notes in Control and Information Sciences},
editor = {V. Blondel and S. Boyd and H. Kimura},
publisher = {Springer-Verlag Limited},
pages = {95--110},
year = 2008,
note = {\url{http://stanford.edu/~boyd/graph_dcp.html}}
}
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JOURNAL = " Int. J. Control",
VOLUME = "49",
NUMBER ="6",
YEAR = "1989",
PAGES = "2215--2240",
}
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title = "{SDPHA}: a matlab implementation of homogeneous
interior-point algorithms for semidefinite programming",
institution = "University of Iowa",
year = "1998",
address = "Iowa City, IA"}
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title = "Nonsymmetric Search Directions for Semidefinite Programming",
journal = siopt,
year = "1999",
volume = "9",
number = "4",
pages = "863 - 876"
}
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MRCLASS = {90C05 (52A20)},
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institution = "University of Twente",
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title = "Semidefinite programming in the space of partial
positive semidefinite matrices",
institution = "Department of Management Sciences,
University of Iowa",
year = "2002",
address = "Iowa City, IA"
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author = "S. Burer and R.D.C. Monteiro and Y. Zhang",
title = "Solving Semidefinite Programs via Nonlinear Programming
Part II: Interior Point Methods for a Subclass of SDPs",
institution = "Department of Computational and Applied Mathematics,
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number = "TR99-23",
year = "1999",
address = "Houston, Texas"
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institution = "",
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year = "2006",
address = "arXiv.org"
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%CCCCCC
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MRCLASS = {90C22 (90C33)},
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@article{doi:10.1080/10556788.2019.1576176,
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%EEEEEEEEEEEEE
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###extra refs from El Ghaoui end
%FFFFFFFFFFFFFF
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% GGGGGGG
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# From MathSci search
------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
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%IIIIIIIIIIIIIIIIIIII
@preamble{
"\def\cprime{$'$} "
}
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MRCLASS = {15A42 (15A18 65F15)},
MRNUMBER = {1 689 433},
}
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@Article{Ito2018,
author="Ito, N.
and Kim, S.
and Kojima, M.
and Takeda, A.
and Toh, K.-C.",
title="Equivalences and differences in conic relaxations of combinatorial quadratic optimization problems",
journal="Journal of Global Optimization",
year="2018",
month="Jun",
day="18",
abstract="Various conic relaxations of quadratic optimization problems in nonnegative variables for combinatorial optimization problems, such as the binary integer quadratic problem, quadratic assignment problem (QAP), and maximum stable set problem have been proposed over the years. The binary and complementarity conditions of the combinatorial optimization problems can be expressed in several ways, each of which results in different conic relaxations. For the completely positive, doubly nonnegative and semidefinite relaxations of the combinatorial optimization problems, we discuss the equivalences and differences among the relaxations by investigating the feasible regions obtained from different representations of the combinatorial condition which we propose as a generalization of the binary and complementarity condition. We also study theoretically the issue of the primal and dual nondegeneracy, the existence of an interior solution and the size of the relaxations, as a result of different representations of the combinatorial condition. These characteristics of the conic relaxations affect the numerical efficiency and stability of the solver used to solve them. We illustrate the theoretical results with numerical experiments on QAP instances solved by SDPT3, SDPNAL+ and the bisection and projection method.",
issn="1573-2916",
doi="10.1007/s10898-018-0676-4",
url="https://doi.org/10.1007/s10898-018-0676-4"
}
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JJJJJJJJJJJJJJJJJJJ
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author = "C.R. Johnson",
title = "Matrix completion problems: a survey",
journal = "Proceedings of Symposium in Applied Mathematics",
year = "1990",
volume = "40",
pages = "171-198" }
@ARTICLE {johKro:95,
author = "C.R. Johnson and B. KROSCHEL",
title = "Principal submatrices, geometric
multiplicities, and structured eigenvectors",
journal = simax,
year = "1995",
volume = "16",
pages = "1004-1012"}
@incollection {MR99c:15040,
AUTHOR = {Johnson, C.R. and KROSCHEL, B.K. and LUNDQUIST,
M.},
TITLE = {The totally nonnegative completion problem},
BOOKTITLE = {Topics in Semidefinite and Interior-Point Methods
(Toronto, ON,
1996)},
PAGES = {97--107},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1998},
}
@ARTICLE {johRea:00,
author = "C.R. Johnson and R. REAMS",
title = "Semidefiniteness without real symmetry",
journal = laa,
year = "2000",
volume = "306",
pages = "203-209" }
@ARTICLE {johschr:96,
author = "C.R. Johnson and E.A. SCHREINER",
title = "The relationship between {$AB$ }and {$BA$}",
journal = "American Math. Monthly",
year = "1996",
volume = "Aug-Sept",
pages = "578-582" }
@article {JohTar:95,
author = "C.R. Johnson and P. Tarazaga",
title = " Approximate semidefinite matrices in a
subspace",
JOURNAL = simax,
FJOURNAL = {SIAM J. on Matrix Analysis and Applications},
VOLUME = {19},
YEAR = {1999},
NUMBER = {4},
PAGES = {861--871},
}
@ARTICLE {johRod:84,
author = "C.R. Johnson and L. RODMAN",
title = "Inertia possibilities for completions of partial
{H}ermitian matrices",
journal = lama,
year = "1984",
volume = "16",
pages = "179-195"}
@article {JohSmith:00,
author = "C.R. Johnson and R.L. SMITH",
title = " The positive semidefinite completion
problem relative to a subspace",
year = "2000",
journal = laa,
volume = "307",
pages = "1-14"}
@ARTICLE {JoNeWi:34,
author = "P. JORDAN and J. VON NEUMANN and E. WIGNER",
title = "On an algebraic generalization of the quantum
mechanical formalism",
journal = "Annals of Mathematics",
year = "1934",
volume = "35",
pages = "29-64"}
@article {MR1742322,
AUTHOR = {Ji, J. and Potra, F.A. and Sheng, R.},
TITLE = {On the local convergence of a predictor-corrector method
for
semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {10},
YEAR = {1999},
NUMBER = {1},
PAGES = {195--210 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1742322 (2001b:90062)},
MRREVIEWER = {Jos F. Sturm},
}
%KKKKKKKKKKKKKK
@incollection {Kah:96,
author = "N. KAHALE",
title ="A semidefinite bound for mixing rates of {M}arkov chains",
booktitle = "Integer programming and combinatorial optimization (Vancouver, BC,
1996)",
pages="190--203",
series = "Lecture Notes in Comput. Sci.",
volume ="1084",
publisher = "Springer, Berlin",
year = "1996"}
@article {MR87j:15039,
AUTHOR = {KAR{\v{C}}ICKA, D. L.},
TITLE = {Self-conditionally positive semidefinite matrices},
JOURNAL = {Mat. Fak. Univ. Kiril Metodij Skopje Godi\v sen Zb.},
FJOURNAL = {Matematichki Fakultet. Univerzitetot Kiril i Metodij.
Skopje.
Godishen Zbornik=Matemati\v cki Fakultet. Univerzitet Kiril
i
Metodij. Skopje. Godi\v sen Zbornik},
VOLUME = {33(34)},
YEAR = {1982/83},
PAGES = {53--57},
}
@article { KargerMotwaniSudan94,
AUTHOR = {D. KARGER and R. MOTWANI and M. SUDAN},
title = "Approximate graph coloring by semidefinite programming",
volume = 45,
pages = "246--265",
year = 1998,
journal = jacm
}
@article {Kar:95,
AUTHOR = {KARLOFF, H.},
TITLE = {How good is the {G}oemans-{W}illiamson {M}{A}{X} {C}{U}{T}
algorithm?},
PAGES = {336-350},
journal = SJC,
volume = "29",
number = "1",
YEAR = {1999},
}
@inproceedings {Kar:95b,
AUTHOR = {KARLOFF, H.},
TITLE = {How good is the {G}oemans-{W}illiamson {M}{A}{X} {C}{U}{T}
algorithm?},
BOOKTITLE = {Proceedings of the Twenty-eighth Annual ACM Symposium on
the
Theory of Computing (Philadelphia, PA, 1996)},
PAGES = {427--434},
PUBLISHER = {ACM},
ADDRESS = {New York},
YEAR = {1996},
}
@ARTICLE {KaWi:71,
author = "C. KALLINA and A.C. WILLIAMS",
title = "Linear Programming in reflexive spaces",
journal = "SIAM Rev.",
year = "1971",
volume = "13",
pages = "350-376"}
@PHDTHESIS {Karischthesis:95,
author = "S. Karisch",
title = "Nonlinear Approaches for Quadratic Assignment
and Graph Partition Problems",
institution = "University of Graz",
year = "1995",
address = "Graz, Austria"}
@inproceedings {KaRe:95dec,
author = "S.E. Karisch and F. Rendl",
title="Semidefinite programming and graph equipartition",
booktitle="Topics in Semidefinite and Interior-Point Methods",
editors="P. Pardalos and H. Wolkowicz",
publisher="American Mathematical Society",
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
volume = "18",
address="Providence, Rhode Island",
year="1998" }
@TECHREPORT {KaReCl:97,
author = "S.E. Karisch and F. Rendl and J. Clausen",
title = "solving graph bisection problems with
semidefinite programming",
year = "1997",
institution = "University of Copenhagen",
address = "Dept. of Computer Science",
number = "Report DIKU-Tr-97/9"
}
@inproceedings{ Ka:72,
author={R.M. Karp},
title={Reducibility among combinatorial problems},
booktitle = {Complexity of Computer Computation},
year = {1972},
editor = {R. E. Miller and J.W. Thatcher},
publisher = {Plenum Press, New York},
pages = {85-103}
}
@techreport {keshavanOh:09,
AUTHOR = {R.H. KESHAVAN, S. OH},
title = "A Gradient Descent Algorithm on the Grassman Manifold for
Matrix Completion",
year = "2009",
number = "http://arxiv.org/abs/0910.5260",
institution= "Stanford University",
address = "Dept. of Electrical Engineering"
}
@ARTICLE{Kiwiel83,
AUTHOR = {K.C. Kiwiel},
TITLE = {An Aggregate Subgradient Method for Nonsmooth Convex
Minimization
},
JOURNAL = MP,
YEAR = 1983,
VOLUME = 27,
PAGES = {320--341},
MSC91 = {65K05, 90C25, 49D99},
ENTERED = {19980811}
}
@ARTICLE{Kiwiel90,
AUTHOR = {K.C. Kiwiel},
TITLE = {Proximity Control in bundle Methods for convex
nondifferentiable
minimization},
JOURNAL = MP,
YEAR = 1990,
VOLUME = 46,
PAGES = {105--122}
}
@article {MR21:4390,
AUTHOR = {Klee, V.},
TITLE = {Some characterizations of convex polyhedra},
JOURNAL = {Acta Math.},
VOLUME = {102},
YEAR = {1959},
PAGES = {79--107},
MRCLASS = {52.00},
MRNUMBER = {21 \#4390},
MRREVIEWER = {H. Mirkil},
}
@inproceedings {MR1427530,
AUTHOR = {KLEIN, P. and LU, H.-I},
TITLE = {Efficient approximation algorithms for semidefinite
programs arising from {M}{A}{X} {C}{U}{T} and
{C}{O}{L}{O}{R}{I}{N}{G}},
BOOKTITLE = {Proceedings of the Twenty-eighth Annual ACM Symposium on
the
Theory of Computing (Philadelphia, PA, 1996)},
PAGES = {338--347},
PUBLISHER = {ACM},
ADDRESS = {New York},
YEAR = {1996},
}
# This file contains papers from Hao Hu started Apr/18
@techreport{HuYang:23,
title = "Affine FR : an effective facial reduction algorithm for
semidefinite relaxations of combinatorial problems",
author = "H. Hu and and B. Yang",
institution="Clemson University",
note = "26 pages, Optimization Online",
address = "Clemson, NC",
year="2023 submitted",
}
@article{sotirov2013efficient,
title={An efficient semidefinite programming relaxation for the graph partition problem},
author={Sotirov, R.},
journal={INFORMS Journal on Computing},
volume={26},
number={1},
pages={16--30},
year={2013},
publisher={INFORMS}
}
@article{van2015semidefinite,
title={Semidefinite programming and eigenvalue bounds for the graph partition problem},
author={van Dam, E.R and Sotirov, R.},
journal={Mathematical Programming},
volume={151},
number={2},
pages={379--404},
year={2015},
publisher={Springer}
}
@article {MR3788893,
AUTHOR = {Sotirov, R.},
TITLE = {Graph bisection revisited},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {265},
YEAR = {2018},
NUMBER = {1},
PAGES = {143--154},
ISSN = {0254-5330},
MRCLASS = {05C70 (05C22 05C85 90C22 90C35)},
MRNUMBER = {3788893},
DOI = {10.1007/s10479-017-2575-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10479-017-2575-3},
}
@article {MR2546331,
AUTHOR = {de Klerk, E. and Sotirov, R.},
TITLE = {Exploiting group symmetry in semidefinite programming
relaxations of the quadratic assignment problem},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {122},
YEAR = {2010},
NUMBER = {2, Ser. A},
PAGES = {225--246},
ISSN = {0025-5610},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR2546331},
DOI = {10.1007/s10107-008-0246-5},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-008-0246-5},
}
@article {klerksotirv:09,
AUTHOR = {de Klerk, E. and Sotirov, R.},
TITLE = {A new library of structured semidefinite programming
instances},
journal = oms,
VOLUME = {24},
YEAR = {2009},
NUMBER = {6},
PAGES = {959--971}
}
@book{klerkbook:02,
author = "de Klerk, E.",
title = "Aspects of Semidefinite Programming: Interior Point Algorithms
and Selected Applications",
year = "2002",
series = "Applied Optimization Series",
publisher = "Kluwer Academic",
ISBN = {1-4020-0547-4},
PAGES = {300pp},
ADDRESS = {Boston, MA},
}
@incollection {MR1778227,
AUTHOR = {de Klerk, E. and Terlaky, T. and Roos, K.},
TITLE = {Self-dual embeddings},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {111--138},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22},
MRNUMBER = {1 778 227},
}
@PHDTHESIS {KLERK:97,
author = "de Klerk, E.",
title = "Interior point methods for
semidefinite programming",
institution = "Delft University",
school = "Delft University",
year = "1997"}
@article {KlerkRoosTerlaky:96,
author = "de Klerk, E. and C. Roos and T. Terlaky",
title = "Polynomial Primal-dual Affine Scaling Algorithms in
Semidefinite Programming",
JOURNAL = jco,
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {51--70},
}
@article {KlerkRoosTerlakyinit:97,
author = "de Klerk, E. and C. Roos and T. Terlaky",
title = "Initialization in semidefinite
programming via a self-dual skew-symmetric embedding",
journal="Oper. Res. Lett.",
volume ="20",
year ="1997",
number ="5",
pages ="213--221"}
@article{KlerkRoosTerlaky:97,
author = "de Klerk, E. and C. Roos and T. Terlaky",
title = "Primal--dual potential reduction methods
for semidefinite programming using affine--scaling directions",
journal = apnum,
volume = "29",
year = "1999",
pages ="335--360"
}
@article {KlerkPengTerlaky:99,
author = "de Klerk, E. and J. Peng and C. Roos and T. Terlaky",
TITLE = {A scaled {G}auss-{N}ewton primal-dual search direction for
semidefinite optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {11},
YEAR = {2001},
NUMBER = {4},
PAGES = {870--888 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C22 (65K05 90C53)},
MRNUMBER = {2002g:90070},
MRREVIEWER = {Franz Rendl},
}
@article {MR2296566,
AUTHOR = {de Klerk, E. and Pasechnik, D.V. and Schrijver, A.},
TITLE = {Reduction of symmetric semidefinite programs using the
regular
{$\ast$}-representation},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {613--624},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C35)},
MRNUMBER = {2296566 (2007k:90089)},
MRREVIEWER = {Zheng Hai Huang},
DOI = {10.1007/s10107-006-0039-7},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-006-0039-7},
}
@article{kelrkmaharrypasrichsal:05,
author = "de Klerk, E. and J. MAHARRY and D.V. PASECHNIK and
B. RICHTER and G. SALAZAR",
title = "Improved bounds for the crossing number of $K_{m,n}$ and
$K_n$",
journal = "SIAM J. Discrete Math.",
volume = "to appear",
year = "2005",
pages =""
}
@techreport {PengRoosTerlaky:99,
author = " J. Peng and C. Roos and T. Terlaky",
title = "A new class of polynomial primal-dual methods for
linear and semidefinite optimization",
institution = "Delft University of Technology",
address = "Faculty of Technical Mathematics and Informatics,
Delft, The Netherlands",
year = "1999"}
@techreport {KocvaraStingl:01,
author = " M. Kocvara and M. Stingl",
title = "A generalized augmented {L}agrangian method for
semidefinite programming",
institution = "University of Erlangen",
address = "Erlangen, Germany",
year = "2001"}
@techreport {Kojima:02,
author = " M. Kojima",
title = "A General Framework for Convex
Relaxation of Polynomial Optimization Problems over Cones",
number = "B-380",
institution = "Dept. of Mathematical Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
year = "1998"
}
@article {KoTu:98,
author = " M. Kojima and L. Tun{\c{c}}el",
title = "Cones of matrices and successive convex relaxations
of nonconvex sets",
institution = "Dept. of Mathematical Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
journal = siopt,
volume="10",
number = "3",
pages = "750-778",
year = "2000"
}
@techreport {KoTu:98b,
author = " M. Kojima and L. Tun{\c{c}}el",
title = "Discretization and localization in successive convex
relaxation methods for nonconvex quadratic
optimization problems",
number = "CORR 98-34",
institution = "Dept. of Combinatorics and Optimization",
address = "University of Waterloo",
year = "1998"
}
@techreport {KoTu:99,
author = " M. Kojima and L. Tun{\c{c}}el",
title = "On the finite convergence of successive
convex relaxation methods",
number = "CORR99-36",
institution = "Dept. of Combinatorics and Optimization",
address = "University of Waterloo",
year = "1999"
}
@article {KoShHa:94,
author = "M. Kojima and S. Shindoh and S. HARA",
TITLE = {Interior-point methods for the monotone semidefinite linear
complementarity problem in symmetric matrices},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {1},
PAGES = {86--125},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C33 (90C05 90C25)},
MRNUMBER = {97m:90088},
MRREVIEWER = {Jos F. Sturm},
}
@techreport {KoKoHa:94,
author = "M. Kojima and S. Kojima and S. Hara",
TITLE = {Linear algebra for semidefinite programming},
NOTE = {Linear matrix inequalities and positive semidefinite
programming (Japanese) (Kyoto, 1996)},
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
JOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
FJOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
NUMBER = {1004},
YEAR = {1997},
PAGES = {1--23},
}
@techreport {KoShShi:95,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Reduction of monotone linear complementarity
problems over cones to linear programs over cones",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
year = "1995"
}
@techreport {KoShShi:96,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Local convergence of predictor-corrector
infeasible-interior-point algorithms for {SDP}s and {SDLCP}s",
institution = "Dept. of Information Sciences",
address = "Tokyo Institute of Technology, Tokyo, Japan",
year = "1996"
}
@article {KoShShi:96a,
author = " M. Shida and S. Shindoh and M. Kojima",
title = "Existence and uniqueness
of search directions in interior-point
algorithms for the {SDP} and monotone {SDLCP}",
journal=siopt,
pages = "387-396",
volume = "8",
year={1998}
}
@article {KoShShi:99,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Search directions in the {SDP} and the monotone
{SDLCP}: generalization and inexact computation",
JOURNAL = {Math. Programming},
pages = "51-80",
volume = "85",
number = "1",
year={1999}
}
@ARTICLE {Korner:01,
author = "P.F. KORNER",
title = "A note on convex relations of bivalent quadratic
programming",
journal = "SAMS",
volume = "39",
pages = "493-496",
year = "2001"}
@ARTICLE {Kortan:77,
author = "K.O. Kortanek",
title = "Constructing a perfect duality in infinite
programming",
journal = apmo,
volume = "3",
number = "4",
pages = "357-372",
year = "1977"}
@article {KortanZhang:98,
author = "K.O. Kortanek and Q. Zhang",
title = "Prefect duality in semi-infinite
and semidefinite programming",
institution = "Department of Management Sciences
The University of Iowa",
keywords = "semidefinite programming;
quadratic programming, cone programming; sdp; coneprog",
journal = mp,
volume = "91",
number = "1",
pages = "127-144",
year = "2001"}
@article{KrislockMalickRBigCr:17,
AUTHOR = {Krislock, N. and Malick, J. and Roupin, F.},
TITLE = {Biq{C}runch: a semidefinite branch-and-bound method for
solving binary quadratic problems},
JOURNAL = {ACM Trans. Math. Software},
FJOURNAL = {Association for Computing Machinery. Transactions on
Mathematical Software},
VOLUME = {43},
YEAR = {2017},
NUMBER = {4},
PAGES = {Art. 32, 23},
ISSN = {0098-3500},
MRCLASS = {65K05 (90C10 90C20)},
MRNUMBER = {3638569},
DOI = {10.1145/3005345},
URL = {https://doi.org/10.1145/3005345},
}
@techreport {Zhang:07,
author = "Q. Zhang",
title = "New duality models in semidefinite programming",
institution = "Department of Mathematics and Computer Science,
University of Northern Michigan",
keywords = "semidefinite programming;
quadratic programming, cone programming; sdp; coneprog",
year = "2007"}
@techreport{AlipKrislockGhodsi:10,
author = "B. Alipanahi and N. Krislock and A. Ghodsi",
title = "Manifold learning by semidefinite facial reduction",
institution="University of Waterloo",
number="Submitted to Machine Learning Journal",
address="Waterloo, Ontario",
year="2010"
}
########################Noisy EDM papers
@article{Pong:2011,
Author = {Pong, T.K. and Tseng, P.},
Journal = {Mathematical Programming},
Pages = {321-358},
Title = {({R}obust) {E}dge-based semidefinite programming relaxation
of sensor network localization},
Volume = {130},
Year = {2011}}
@article{Leung:2009,
Author = {N.-H.Z. Leung and K.-C. Toh},
Journal = {SIAM Journal on Scientific Computing},
Number = {6},
Pages = {4351-4372},
Title = {An {SDP}-Based Divide-and-Conquer Algorithm for Large-Scale
Noisy Anchor-Free Graph Realization},
Volume = {31},
Year = {2009}}
@article{Biswas:2008,
Author = {Pratik B. and K.-C. Toh and Y. Ye},
Journal = {SIAM Journal on Scientific Computing},
Number = {3},
Pages = {1251-1277},
Title = {A Distributed {SDP} Approach for Large-Scale Noisy
Anchor-Free Graph Realization with Applications to Molecular
Conformation},
Volume = {30},
Year = {2008}}
@article{Biswas:2006,
Author = {P. Biswas and T.-C. Liang and K.-C. Toh and
Ta-Chung Wang and Yinyu Ye},
Journal = {IEEE Transactions on Automation Science and Engineering},
Pages = {360--371},
Title = {Semidefinite programming approaches for sensor network
localization with noisy distance measurements},
Volume = {3},
Year = {2006}}
@techreport {Kartik:06,
author = "K.K. SIVARAMAKRISHNAN",
title = "A PARALLEL conic interior point decomposition
approach for BLOCK-ANGULAR semidefinite programs",
institution = "Department of Mathematics,
North Carolina State University, Raleigh",
keywords = "semidefinite programming;
cone programming; sdp; coneprog",
year = "2006"}
@techreport {krishnanmitchell:01,
author = "K.K. SIVARAMAKRISHNAN and J. MITCHELL",
title = "A Linear Programming Approach to Semidefinite
Programming Problems",
institution = "Department of Mathematical Sciences,
Rensselaer Polytechnic Institute",
keywords = "semidefinite programming;
cone programming; sdp; coneprog",
year = "2001"}
@ARTICLE{2018arXiv180610868K,
author = {{Kungurtsev}, V. and {Marecek}, J.},
title = "{A Two-Step Pre-Processing for Semidefinite Programming}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1806.10868},
primaryClass = "math.OC",
keywords = {Mathematics - Optimization and Control, Mathematics - Numerical Analysis},
year = 2018,
month = jun,
adsurl = {http://adsabs.harvard.edu/abs/2018arXiv180610868K},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{Kw:89,
author = "M.K. Kwong",
year = "1989",
title = "Some results on matrix monotone functions",
journal = laa,
volume = "118",
pages = "129--153",
kwds = "trace, L{\"{o}}wner order, {L}yapunov theorem"
}
%LLLLL
@ARTICLE{lam70,
AUTHOR ="G. LAMAN",
TITLE ="On graphs and rigidity of plane skeletal structures",
JOURNAL="Journal of Engineering mathematics",
VOLUME=4,
PAGES ={331--340} ,
YEAR=1970 }
@article {LaCrBaGhJo:04,
AUTHOR = {LANKRIET, G.R.G and CRISTIANINI, N. AND BARTLETT, P. AND
EL GHAOUI, L. AND JORDAN, M.I.},
TITLE = {Learning the kernel matrix with semidefinite programming},
JOURNAL = {J. Mach. Learn. Res.},
FJOURNAL = {Journal of Machine Learning Research (JMLR)},
VOLUME = {4},
YEAR = {2004},
NUMBER = {5},
PAGES = {27--72},
}
@article {Henrion08,
AUTHOR = {Henrion, Didier and Lasserre, Jean-Bernard and
L{\"o}fberg,
Johan},
TITLE = {Glopti{P}oly 3: moments, optimization and semidefinite
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%NNNNNNNNNNNNNNNNNNN
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@preamble{
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%OOOOOOOOOOOOOOOOOO
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%PPPPPPPPPPPPPPPP
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title = "{Dimension reduction for semidefinite programs via Jordan
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journal = {ArXiv e-prints},
archivePrefix = "arXiv",
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primaryClass = "math.OC",
keywords = {Mathematics - Optimization and Control},
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year={2014},
pages={6615-6620},
keywords={convex programming;linear programming;polynomials;SDP;SOS
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reduction;linear programming;monomial basis selection procedure;parsing
algorithm generalization;polyhedral
approximations;polynomials;semidefinite program;sum-of-squares
programs;Algorithm design and analysis;Approximation
algorithms;Approximation methods;Face;Polynomials;Standards;Vectors},
doi={10.1109/CDC.2014.7040427},
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month={Dec},}
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%QQQQQQQQQQQQQQQQQQ
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%RRRRRRRRRRRRRRR
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------------------------------------------------------------------------
) Copyright American Mathematical Society 1999
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%VVVVVVVVVVVVVVV
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% WWWWWWWWWWWWWWWWWWWWWw
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% XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
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% YYYYYYYYYYYYYYYY
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JOURNAL = {Vestnik Leningrad. Univ.},
FJOURNAL = {Vestnik Leningradskogo Universiteta},
VOLUME = {4},
YEAR = {1977},
PAGES = {73--93},
note= "English Translation, original Russian publication in Vestnik
Leningradskogo Universiteta, Seriya
Mathematika 62-77, 1971",
}
@article {MR95m:68087,
AUTHOR = {YANNAKAKIS, M.},
TITLE = {On the approximation of maximum satisfiability},
NOTE = {Third Annual ACM-SIAM Symposium on Discrete Algorithms
(Orlando, FL, 1992)},
JOURNAL = {J. Algorithms},
FJOURNAL = {Journal of Algorithms},
VOLUME = {17},
YEAR = {1994},
NUMBER = {3},
PAGES = {475--502},
ISSN = {0196-6774},
CODEN = {JOALDV},
}
@article {MR3030930,
AUTHOR = {Skajaa, A. and Andersen, E. D. and Ye, Y.},
TITLE = {Warmstarting the homogeneous and self-dual interior point
method for linear and conic quadratic problems},
JOURNAL = {Math. Program. Comput.},
FJOURNAL = {Mathematical Programming Computation},
VOLUME = {5},
YEAR = {2013},
NUMBER = {1},
PAGES = {1--25},
ISSN = {1867-2949},
MRCLASS = {90C51},
MRNUMBER = {3030930},
MRREVIEWER = {Guoqiang Wang},
DOI = {10.1007/s12532-012-0046-z},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s12532-012-0046-z},
}
@article {Yinye:97,
author = "Y. Ye",
title = "Approximating quadratic programming with
bound and quadratic constraints",
institution = "Department of Management Sciences
The University of Iowa",
address = "Iowa city, IA 522542",
keywords = "semidefinite programming;
quadratic programming, cone programming; sdp; coneprog",
VOLUME = {84},
journal = mp,
PAGES = {219-226},
year = "1999"}
@article {Ye-1,
author = "Y. Ye",
TITLE = "On affine scaling algorithms for nonconvex quadratic
programming",
JOURNAL = mprog,
FJOURNAL = {Mathematical Programming},
VOLUME = {56},
YEAR = {1992},
PAGES = {285--300},
}
@book {Yinye:97b,
author = "Y. Ye",
title = "Interior Point Algorithms: Theory and
Analysis",
publisher = "John Wiley \& Sons",
series = "Wiley-Interscience series in
Discrete Mathematics and Optimization",
address = "New York",
year = "1997"}
@incollection {MR2191577,
AUTHOR = {Biswas, P. and Ye, Y.},
TITLE = {A distributed method for solving semidefinite programs
arising
from ad hoc wireless sensor network localization},
BOOKTITLE = {Multiscale optimization methods and applications},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {82},
PAGES = {69--84},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2006},
MRCLASS = {90C22 (90B10)},
MRNUMBER = {MR2191577},
}
@inproceedings {BiswasYe:04,
AUTHOR = {Biswas, P. and Ye, Y.},
TITLE = {Semidefinite programming for ad hoc wireless sensor
network localization},
BOOKTITLE = {Information Processing In Sensor Networks,
Proceedings of the third international symposium on Information
processing in sensor networks},
PAGES = {46--54},
PUBLISHER = {ACM},
isbn = {1-58113-846-6},
ADDRESS = {Berkeley, Calif.},
YEAR = {2004},
}
@inproceedings {Biswas:2004,
AUTHOR = {Biswas, P. and Ye, Y.},
TITLE = {Semidefinite programming for ad hoc wireless sensor
network localization},
BOOKTITLE = {Information Processing In Sensor Networks,
Proceedings of the third international symposium on Information
processing in sensor networks},
PAGES = {46--54},
PUBLISHER = {},
ADDRESS = {Berkeley, Calif.},
YEAR = {2004},
}
@article {MR3384939,
AUTHOR = {Yang, L. and Sun, D. and Toh, K.-C.},
TITLE = {{${\rm SDPNAL}+$}: a majorized semismooth {N}ewton-{CG}
augmented {L}agrangian method for semidefinite programming
with nonnegative constraints},
JOURNAL = {Math. Program. Comput.},
FJOURNAL = {Mathematical Programming Computation},
VOLUME = {7},
YEAR = {2015},
NUMBER = {3},
PAGES = {331--366},
ISSN = {1867-2949},
MRCLASS = {90C06 (65K05 90C22 90C25)},
MRNUMBER = {3384939},
DOI = {10.1007/s12532-015-0082-6},
URL = {http://dx.doi.org/10.1007/s12532-015-0082-6},
}
@article{biswasliangtohwangye,
author = "Biswas, P. and Liang, T.-C. and Toh, K.-C. and Wang, T.-C.
and Ye, Y.",
title = "Semidefinite Programming Approaches for Sensor Network
Localization with Noisy Distance Measurements",
journal = "IEEE Trans. Autom. Sc. Eng.",
year = "2006",
volume ="3",
pages="360-371",
institution = "Operation Research, Stanford University",
address = "Stanford, CA",
}
@article {MR2398864,
author = "Biswas, P. and Toh, K.-C. and Ye, Y.",
TITLE = {A distributed {SDP} approach for large-scale noisy
anchor-free
graph reailzation with applications to molecular
conformation},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {30},
YEAR = {2008},
NUMBER = {3},
PAGES = {1251--1277},
ISSN = {1064-8275},
MRCLASS = {90C06 (90C22 90C26)},
MRNUMBER = {MR2398864},
}
@techreport{biswasliangtohye:05,
author = "Biswas, P. and Liang, T.-C. and Toh, K.-C. and Ye, Y.",
title = "An {SDP} based approach for anchor-free {3D} graph
realization",
year = "2005",
institution = "Operation Research, Stanford University",
address = "Stanford, CA",
}
@article {MR2015907,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. A.},
TITLE = {An interior-point perspective on sensitivity analysis in
semidefinite programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {28},
YEAR = {2003},
NUMBER = {4},
PAGES = {649--676},
ISSN = {0364-765X},
MRCLASS = {90C31 (90C05 90C22)},
MRNUMBER = {2 015 907},
}
@article {MR2003b:90137,
AUTHOR = {Yildirim, E. Alper and Wright, Stephen J.},
TITLE = {Warm-start strategies in interior-point methods for linear
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {782--810 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C51 (90C05)},
MRNUMBER = {2003b:90137},
MRREVIEWER = {Carla Durazzi},
}
@article {MR2003d:90107,
AUTHOR = {Yildirim, E. Alper and Todd, Michael J.},
TITLE = {An interior-point approach to sensitivity analysis in
degenerate linear programs},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {3},
PAGES = {692--714 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C31 (90C05)},
MRNUMBER = {2003d:90107},
MRREVIEWER = {Sven-{\AA}ke Gustafson},
}
@article {MR2002c:90079,
AUTHOR = {Y{\i} ld{\i} r{\i} m, E. Alper and Todd, Michael J.},
TITLE = {Sensitivity analysis in linear programming and
semidefinite
programming using interior-point methods},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {90},
YEAR = {2001},
NUMBER = {2, Ser. A},
PAGES = {229--261},
ISSN = {0025-5610},
MRCLASS = {90C31 (90C22 90C51)},
MRNUMBER = {2002c:90079},
MRREVIEWER = {Shu Zhong Zhang},
}
@article{YildTodd:99,
author = "E.A. YILDIRIM and M.J. Todd",
title = "Sensitivity analysis in linear programming and semidefinite
programming using interior-point methods",
year = "2001",
number = "2",
journal = mprog,
volume = "90",
pages ="229-261",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@techreport{Yild:01,
author = "E.A. YILDIRIM",
title = "An Interior-Point Perspective on Sensitivity Analysis in
Semidefinite Programming",
year = "2001",
institution = "School of Operations Research and
Industrial Engineering",
address = "Ithaca, NY 14853-3801",
}
@article {Yild:04,
AUTHOR = {YILDIRIM, E.A.},
TITLE = {Unifying optimal partition approach to sensitivity
analysis in conic optimization},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {122},
YEAR = {2004},
NUMBER = {2},
PAGES = {405--423},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C31 (90C05 90C22)},
MRNUMBER = {MR2093850 (2005e:90134)},
MRREVIEWER = {I. M. Stancu-Minasian},
}
% ZZZZZZZZZZZZZZZZZZ
@techreport {Zalinescu:10,
AUTHOR = {Z{\u{a}}linescu, Constantin},
title = "On duality gap in linear conic problems",
institution = "University of Al. I. Cusa",
URL="http://www.optimization-online.org/DB_HTML/2010/09/2737.html",
year = "2010",
address = "Iasi, Romania"
}
@article {MR2464656,
AUTHOR = {Z{\u{a}}linescu, Constantin},
TITLE = {On zero duality gap and the {F}arkas lemma for conic
programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {33},
YEAR = {2008},
NUMBER = {4},
PAGES = {991--1001},
ISSN = {0364-765X},
MRCLASS = {90C48 (90C05 90C34 90C46 91B28)},
MRNUMBER = {2464656 (2009j:90140)},
MRREVIEWER = {R. Tichatschke},
DOI = {10.1287/moor.1080.0339},
URL = {http://dx.doi.org/10.1287/moor.1080.0339},
}
@TECHREPORT {Zhang:95,
author = "Y. Zhang",
title = "Basic equalities and inequalities in primal-dual
interior-point methods for semidefinite programming",
institution = "Department of Mathematics and Statistics,
University of Maryland Baltimore County",
keywords = "semidefinite programming; cone programming;
sdp;
coneprog",
year = "1995"}
@article {MR89b:15040,
AUTHOR = {Zhang, F. Z.},
TITLE = {On the best {E}uclidean fit to a distance matrix},
JOURNAL = {Beijing Shifan Daxue Xuebao},
FJOURNAL = {Beijing Shifan Daxue Xuebao. Ziran Kexue Ban. Journal of
Beijing Normal University (Natural Science)},
YEAR = {1987},
VOLUME = {4},
PAGES = {21--24},
ISSN = {0476-0301},
}
@article{Zhu:2010,
Author = {Z. Zhu and A. M.-C. So and Y. Ye},
Journal = {SIAM J. Optim.},
Number = {6},
Pages = {3059-3081},
Title = {Universal Rigidity and Edge Sparsification for Sensor
Network Localization},
Volume = {20},
Year = {2010}}
@article {ZhuCosBeas:03,
AUTHOR = {Z. ZHU and D.C. COSTER and L.B. BEASLEY},
TITLE = {Properties of a Covariance Matrix with an Application
to {D}-optimal Design},
JOURNAL = ela,
YEAR = {2003},
VOLUME = {10},
PAGES = {65--76},
}
@techreport {Ziegler:99,
author = "G.M. ZIEGLER",
title = "Lectures on 0/1-polytopes",
institution = "Technische Universitat Berlin",
year = "1999",
address = "Berling, Germany"
}
@ARTICLE {Zieb:98,
author = "A.D. ZIEBUR",
title = "Chain rules for functions of matrices",
journal = laa,
year = "1998",
volume = "283",
pages = "87-97"}
@TECHREPORT {ZoBySch:96,
author = "Z. ZOU and R.H. BYRD and R.B. SCHNABEL",
title = "A stochastic/perturbation global optimization
algorithm for distance geometry problems",
institution = "Dept. of Computer Science, University of
Colorado",
year = "1996",
address = "Boulder, Co"}
@article {MR2219133,
AUTHOR = {Zuluaga, L.F. and Vera, J. and Pe{\~n}a, J.},
TITLE = {L{MI} approximations for cones of positive semidefinite
forms},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {16},
YEAR = {2006},
NUMBER = {4},
PAGES = {1076--1091 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C25 90C30 90C34)},
MRNUMBER = {MR2219133 (2006m:90121)},
MRREVIEWER = {Didier Henrion},
}
# distance matrix references
@INCOLLECTION{lh82,
AUTHOR ="J. De Leeuw and W. Heiser",
EDITOR ="P. R. Krishnaiah and L. N. Kanal",
TITLE ="Theory of multidimensional scaling",
BOOKTITLE ="Handbook of Statistics",
PUBLISHER ="North-Holland",
PAGES ={ 285--316} ,
YEAR=1982,
VOLUME =2 }
@ARTICLE{cri88,
AUTHOR ="F. Critchley",
TITLE ="On certain linear mappings between inner-product and squared distance
matrices",
JOURNAL=laa,
VOLUME=105 ,
PAGES ={91--107} ,
YEAR=1988 }
@ARTICLE{hwlt91,
AUTHOR ="Hayden, T.L. and Wells, J. and Liu, W.M. and Tarazaga, P.",
TITLE ="The cone of distance matrices",
JOURNAL=laa,
VOLUME=144,
PAGES ={153--169} ,
YEAR=1991 }
##### bib entries from Levent Tuncel follow
##### This will cause duplication which will be straightened out later
@article {MR2003j:90035,
AUTHOR = {Kojima, M. and Tun{\c{c}}el, L.},
TITLE = {On the finite convergence of successive {SDP} relaxation
methods},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {325--341},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2003j:90035},
MRREVIEWER = {Ji-Ming Peng},
}
@article {MR1932386,
AUTHOR = {Kojima, M. and Tun{\c{c}}el, L.},
TITLE = {Some fundamental properties of successive convex
relaxation
methods on {LCP} and related problems},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {24},
YEAR = {2002},
NUMBER = {3},
PAGES = {333--348},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C33 (90C09 90C11 90C20 90C48)},
MRNUMBER = {1 932 386},
MRREVIEWER = {Panos M. Pardalos},
}
@article {MR2002e:90070,
AUTHOR = {Kojima, M. and Tun{\c{c}}el, L.},
TITLE = {Discretization and localization in successive convex
relaxation methods for nonconvex quadratic optimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {89},
YEAR = {2000},
NUMBER = {1, Ser. A},
PAGES = {79--111},
ISSN = {0025-5610},
MRCLASS = {90C26 (90C08 90C34 90C51)},
MRNUMBER = {2002e:90070},
MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}},
}
@article {AlHaOv:98,
author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton",
title = "Primal-dual interior-point methods for
semidefinite programming: Convergence rates, stability and numerical results",
institution = "Courant Institute of Mathematical Sciences",
keywords = "sdp; semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "746-768"
}
@book{FarautKoranyi:94,
author = "J. FARAUT and A. KORANYI",
title = "Analysis on Symmetric Cones",
year = "1994",
series = "",
publisher = "Oxford University Press",
address = "NY, USA"
}
@book{FiaccoMcCormick:90,
author = "A.V. FIACCO and G.P. McCORMICK",
title = "Nonlinear programming sequential unconstrained
minimization techniques",
year = "1990",
series = "Classics in Applied Mathematics",
publisher = "SIAM",
address = "Philadelphia, PA, USA"
}
@techreport {Frisch:55,
author = "K.R. FRISCH",
title = "The logarithmic potential method of
convex programming",
institution = "Institute of Economics, Oslo University",
year = "1955",
address = "Oslo, Norway"
}
@article {GonzagaTodd:92,
author = "C.C. GONZAGA and M.J. Todd",
title = "An {O}$(\sqrt{n}{L})$-iteration
large-step primal-dual affine algorithm for linear
programming",
journal = siopt,
year = "1992",
volume = "2",
pages = "349-359"
}
@article {Guler:96,
author = "O. G{\" U}LER",
title = "Barrier functions in interior point
methods",
journal = mor,
year = "1996",
volume = "21",
pages = "860-885"
}
@article {Guler:97,
author = "O. G{\" U}LER",
title = "Hyperbolic polynomials and
interior point methods for convex programming",
journal = mor,
year = "1997",
volume = "22",
pages = "350-377"
}
@techreport {Guler:98,
author = "O. G{\" U}LER",
title = "Private communication",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "January 1998"
}
@article {MR3301316,
AUTHOR = {de Carli Silva, M.K. and Tun\c{c}el, L.},
TITLE = {Vertices of spectrahedra arising from the elliptope, the theta
body, and their relatives},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {25},
YEAR = {2015},
NUMBER = {1},
PAGES = {295--316},
ISSN = {1052-6234},
MRCLASS = {90C57 (90C22 90C27 90C46)},
MRNUMBER = {3301316},
MRREVIEWER = {Ruriko Yoshida},
DOI = {10.1137/130945818},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/130945818},
}
@techreport {GulerTuncel:97,
author = "O. G{\" U}LER and L. TUN{\c{C}}EL",
title = "Manuscript",
note = "Unpublished",
institution = {University of Maryland Baltimore
County, Baltimore, MD},
year = "1997"
}
@article {GulerTuncel:98,
author = "O. G{\" U}LER and L. Tun{\c{c}}el",
TITLE = {Characterization of the barrier parameter of homogeneous
convex cones},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {81},
YEAR = {1998},
NUMBER = {1, Ser. A},
PAGES = {55--76},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C30 (49M30)},
MRNUMBER = {MR1617693 (99f:90124)},
MRREVIEWER = {Guillermo L. Hansen},
}
@article {Karmarkar:84,
author = "N.K. KARMARKAR",
title = "A new polynomial time algorithm for
linear programming",
journal = "Combinatorica",
year = "1984",
volume = "4",
pages = "373-395"
}
@book{KMNY:91,
author = "M. Kojima and N. MEGIDDO and T. NOMA and A. YOSHISE",
title = "A Unified Approach to
Interior Point Algorithms for Linear Complementarity Problems",
year = "1991",
series = "Lecture Notes in Computer Science",
publisher = "Springer-Verlag",
address = "NY, USA"
}
@article {KMY:89,
author = "M. Kojima and S. MIZUNO and A. YOSHISE",
title = "A polynomial time
algorithm for a class of linear complementarity problems",
journal = mprog,
year = "1989",
volume = "44",
pages = "1-26"
}
@article {KMY:91,
author = "M. Kojima and S. MIZUNO and A. YOSHISE",
title = "An {O}${(\sqrt{n}{L})}$ iteration
potential reduction algorithm for
linear complementarity problems",
journal = mprog,
year = "1991",
volume = "50",
pages = "331-342"
}
@techreport {KoShSh:96,
author = "M. Kojima and M. Shida and S. Shindoh",
TITLE = {A note on the {N}esterov-{T}odd and the {K}ojima-{S}hindoh-{H}ara
search directions in semidefinite programming},
note = "To appear in Optim. Methods Softw.",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
year = "1999"
}
@article{KoShSh:99,
author = "M. Kojima and M. Shida and S. Shindoh",
title = "Search directions in the {SDP} and the monotone {SDLCP}:
generalization and inexact computation",
journal = mprog,
volume = "85",
pages = "51--80",
year = "1999"
}
@article {KojimaTuncel:98,
author = "M. Kojima and L. Tun{\c{c}}el",
title = {Monotonicity of primal-dual
interior-point algorithms for
semidefinite programming problems},
JOURNAL = oms,
VOLUME = {10},
YEAR = {1998},
PAGES = {275-296},
}
@article {Lim:79,
author = "M.H. LIM",
TITLE = {Linear transformations on symmetric matrices},
JOURNAL = {Linear and Multilinear Algebra},
VOLUME = {7},
YEAR = {1979},
PAGES = {47-57},
}
@article {MarcusMoyls:59,
author = "M. MARCUS and B.N. MOYLS",
TITLE = {Linear transformations on algebras of matrices},
JOURNAL = {Canadian J. Math.},
VOLUME = {11},
YEAR = {1959},
PAGES = {61-66}
}
@inproceedings{Megiddo:88,
author = "N. MEGIDDO",
title = "Pathways to the optimal set in linear programming",
booktitle = "Progress in Mathematical Programming,
Interior Point and Related Methods",
editor="N. Megiddo",
Publisher="Springer-Verlag",
year ={1988} }
@article {MKT:95,
author = "S. MIZUNO and M. Kojima and M.J. Todd",
title = {Infeasible-interior-point primal-dual potential-reduction
algorithms for linear programming},
JOURNAL = siopt,
VOLUME = {5},
YEAR = {1995},
PAGES = {52-67},
}
@article {MR2004397,
author = "R.D.C. Monteiro",
TITLE = {First- and second-order methods for semidefinite
programming},
NOTE = {ISMP, 2003 (Copenhagen)},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {97},
YEAR = {2003},
NUMBER = {1-2, Ser. B},
PAGES = {209--244},
ISSN = {0025-5610},
MRCLASS = {90C22},
MRNUMBER = {MR2004397 (2004j:90077)},
MRREVIEWER = {Franz Rendl},
}
@article {MonteiroAdler:89,
author = "R.D.C. Monteiro and I. ADLER",
TITLE = {Interior path following
primal-dual algorithms. {Part I: Linear programming}},
JOURNAL = mprog,
VOLUME = {44},
YEAR = {1989},
PAGES = {27-42},
}
@article {MonteiroAdler:89a,
author = "R.D.C. Monteiro and I. ADLER",
TITLE = "Interior path following primal-dual algorithms.
{Part II: Convex quadratic programming}",
JOURNAL = mprog,
VOLUME = {44},
YEAR = {1989},
PAGES = {43-66},
}
@techreport{Nemirovski:97,
author = "A.S. Nemirovski",
title = "On Normal
Self-concordant barriers and long-step
interior point methods",
year = "1997",
institution = "Faculty of Industrial Engineering,
Institute of Technology, Technion",
address = "Haifa, ISRAEL"
}
@article {Nesterov:97,
author = "Y.E. Nesterov",
title={Long-step strategies in interior-point
primal-dual methods},
journal=mprog,
pages = "47-94",
volume = "76",
year={1997}
}
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### strings moved to .master.bib
% BiBTeX data base for Concurent mapping and localisation
%--------------------------------------------------------------------
%% bibtextfile{
%% author = "Ioana Popescu",
%% version = "1.0",
%% date = "February 7, 1998",
%% filename = "cml.bib",
%% address = "OR Center Rm. E40-130
%% MIT, 77 Mass. Ave,
%% Cambridge, MA 02139, USA",}
%---------------------------------------------------------------------
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FJOURNAL = {Parallel Computing. Systems \& Applications},
VOLUME = {32},
YEAR = {2006},
NUMBER = {1},
PAGES = {24--43},
ISSN = {0167-8191},
CODEN = {PACOEJ},
MRCLASS = {90C22 (65K05 90C51)},
MRNUMBER = {2193820 (2006h:90043)},
MRREVIEWER = {Didier Henrion},
DOI = {10.1016/j.parco.2005.07.002},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/j.parco.2005.07.002},
}
@article {MR2007889,
AUTHOR = {Yamashita, M. and Fujisawa, K. and Kojima, M.},
TITLE = {S{DPARA}: {S}emi{D}efinite {P}rogramming {A}lgorithm
pa{RA}llel version},
JOURNAL = {Parallel Comput.},
FJOURNAL = {Parallel Computing. Systems \& Applications},
VOLUME = {29},
YEAR = {2003},
NUMBER = {8},
PAGES = {1053--1067},
ISSN = {0167-8191},
CODEN = {PACOEJ},
MRCLASS = {90B22 (65K05 90-04)},
MRNUMBER = {2007889 (2004g:90029)},
DOI = {10.1016/S0167-8191(03)00087-5},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/S0167-8191(03)00087-5},
}
@article {MR2019042,
AUTHOR = {Yamashita, M. and Fujisawa, K. and Kojima, M.},
TITLE = {Implementation and evaluation of {SDPA} 6.0 (semidefinite
programming algorithm 6.0)},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {18},
YEAR = {2003},
NUMBER = {4},
PAGES = {491--505},
ISSN = {1055-6788},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {MR2019042 (2004j:90079)},
note = "sdpa.indsys.chuo-u.ac.jp/sdpa/",
}
@article {MR1755003,
AUTHOR = {Fujisawa, K.},
TITLE = {The software of the primal-dual interior-point method for
semidefinite programming {SDPA} (semidefinite programming
algorithm)},
JOURNAL = {Systems Control Inform.},
FJOURNAL = {Systems, Control and Information. Shisutemu, Seigyo,
J\=oh\=o},
VOLUME = {44},
YEAR = {2000},
NUMBER = {2},
PAGES = {51--58},
ISSN = {0916-1600},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {MR1755003},
}
@incollection {MR1748770,
AUTHOR = {Fujisawa, K. and Fukuda, M. and Kojima,
M.
and Nakata, Kazuhide},
TITLE = {Numerical evaluation of {SDPA} (semidefinite programming
algorithm)},
BOOKTITLE = {High performance optimization},
SERIES = {Appl. Optim.},
VOLUME = {33},
PAGES = {267--301},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C22 (90-04)},
MRNUMBER = {MR1748770 (2002a:90050)},
}
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AUTHOR = {Fujisawa, K. and Kojima, M. and Nakata,
K.},
TITLE = {The interior-point method software {SDPA} (semidefinite
programming algorithm) for semidefinite programming
problems},
NOTE = {Continuous and discrete mathematics for optimization
(Kyoto,
1999)},
JOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
FJOURNAL = {S\=urikaisekikenky\=usho K\=oky\=uroku},
NUMBER = {1114},
YEAR = {1999},
PAGES = {149--159},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1767321},
}
@Unpublished{sdpa,
author = {K. Fujisawa and M. Kojima and K. Nakata},
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year = {1998}
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@Book{Wolsey1998,
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%------------------------ Approximation Algorithms ----------------------
@Article{BV94,
author = {D. Bertsimas and R. VOHRA},
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%------------------------ Complexity ------------------------------
@Book{Sip96,
author = {M. SIPSER},
title = {Introduction to the Theory of Computation},
publisher = {PWS},
year = 1996,
address = {Boston, MA}
}
%------------------------ Finance -----------------------------
@Unpublished{BP98b,
author = {D. Bertsimas and I. POPESCU},
title = {On the relation between option and stock prices: an optimization approach},
note = {Submitted for publication},
year = 1998
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journal = jof,
year = 1996,
volume = 51,
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month = {December},
pages = {1573--1610}
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@Article{JK95,
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year = 1994,
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AUTHOR = {Andersen, E.D. and Andersen, K.D.},
TITLE = {The {M}osek interior point optimizer for linear
programming:
an implementation of the homogeneous algorithm},
BOOKTITLE = {High performance optimization},
SERIES = {Appl. Optim.},
VOLUME = {33},
PAGES = {197--232},
PUBLISHER = {Kluwer Acad. Publ., Dordrecht},
YEAR = {2000},
MRCLASS = {90C05 (65Y05 90C51)},
MRNUMBER = {1748773},
MRREVIEWER = {Shu Zhong Zhang},
DOI = {10.1007/978-1-4757-3216-0_8},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/978-1-4757-3216-0_8},
}
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year = 1976,
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}
%---------------------- Inventory -------------------------------------
@InProceedings{Scarf58,
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year = 1992,
volume = 11,
pages = {55--60}
}
%-------------------------------Queueing-------------------------------------
@InProceedings{abr,
author = {F. AVRAM and D. Bertsimas and M. RICARD},
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year = {1995},
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year = 1995,
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@Unpublished{bega,
author = {D. Bertsimas and D. GAMARNIK},
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note = {Submitted for publication},
year = 1998,
}
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author = {D. Bertsimas and J. NI{N}O-MORA},
title = {Restless bandits, linear programming relaxations
and a primal-dual heuristic},
journal = {Oper. Res.},
year = {To appear}
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author = {D. Bertsimas and J. NI{N}O-MORA},
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year = {To appear}
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journal = {Math. Oper. Res.},
year = {To appear}
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.
##### From Jarre bbl file in Convex paper
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%\bibitem{MO}
%A.W.\ Marshall and I.\ Olkin,
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@Book{stsun:90,
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publisher = {Academic Press},
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%
%\bibitem{SS}
%G.W.\ Stewart and J-G.\ SUN,
%{\it Matrix Perturbation Theory},
%Academic Press (1990).
%\bibitem{Wilkinson}
%J.H.\ WILKINSON
%{\it The Algebraic Eigenvalue Problem},
%Oxford University Press (1965).
## from Shapiro bbl file
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MRCLASS = {90-02 (49-02 49K40 90C31)},
MRNUMBER = {95d:90002},
MRREVR = {Alexander Shapiro},
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FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Control and Optimization},
VOLUME = {30},
YEAR = {1992},
NUMBER = {6},
PAGES = {1409--1422},
ISSN = {0363-0129},
CODEN = {SJCODC},
}
## from deKlerk et al start
@inproceedings{int:deklerk7,
author = {de Klerk, E. and C. Roos and T. Terlaky},
title = {Infeasible--start semidefinite programming algorithms via self--dual
embeddings},
editors = {P.~M. Pardalos and H.~Wolkowicz},
booktitle = {Topics in
Semidefinite and Interior-Point Methods},
volume = {18},
series = {The Fields Institute for Research in Mathematical Sciences,
Communications Series},
pages = {215--236},
publisher = {American Mathematical Society},
year = {1998}
}
@inproceedings {int:Deklerk5,
author = {de Klerk, E. and C. Roos and T. Terlaky},
title = {On primal--dual path--following algorithms in semidefinite
programming},
editors = {F.~Giannessi, S.~Koml\'{o}si, and T.~Rapcs\'{a}k},
booktitle = {New trends in Mathematical Programming},
pages = {137--157},
publisher = {Kluwer Academic Publishers},
address = {Dordrecht, The Netherlands},
year = {1998}
}
@techreport {Illes98,
author = {T.~ILL{\'E}S and J.~Peng and C.~Roos and and T.~Terlaky},
title = {A strongly polynomial rounding procedure yielding a maximally
complementary solution for {P}$^*(\kappa)$ linear complementarity problems},
number = {98--15},
institution = {Faculty of Technical Mathematics and
Computer Science},
address = {Delft University of Technology, Delft, The Netherlands},
year = {1998}
}
@article {int:Jiang1,
author = {J.~JIANG},
TITLE = {A long-step primal-dual path-following method for
semidefinite
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JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
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ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C25 (90C08)},
MRNUMBER = {99i:90071},
MRREVR = {Michael L. Dowling},
}
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author = {M. Kojima and M. Shida and S. Shindoh},
title = {A predictor-corrector interior point algorithm for the semidefinite
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volume="9",
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journal = siopt,
}
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author = {M.V. Ramana and P.M. Pardalos},
title = {Semidefinite programming},
editor = {T.~Terlaky},
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year = {1996}
}
@techreport{int:Stoer2,
author = {J.~STOER and M.~WECHS},
title = {Infeasible-interior-point paths for sufficient linear complementarity
problems and their analyticity},
note = {Manuscript},
institution = {Institut f\"ur Angewandte Mathematik und Statistik},
address = {Universit\"at W\"urzburg, W\"urzburg, Germany},
year = {1996}
}
## from deKlerk et al end
## from Mike Todd et al beginning
%Henry, I've been doing some work on cleaning up our chapter, though
%the text is much the same as what you have. In particular, I've been
%preparing a bib file. This has some additions to your master list,
%as well as some updates (marked by %%**). It's included below.
@techreport {Ko:95,
author = "M. Kojima",
institution="Department of Mathematical and Computing Sciences
Tokyo Institute of Technology",
address="Oh-Okayama, Meguro, Tokyo 152-8552",
title = "Private communication",
year = "1995"
}
@article {Mont:98,
author = "R.D.C. Monteiro",
title = "Polynomial convergence of primal-dual algorithms for
semidefinite programming based on the {Monteiro and Zhang}
family of directions",
journal = siopt,
year = "1998",
volume = "8",
pages = "797-812"
}
@article{MoTu:96,
author = "R.D.C. Monteiro and T. Tsuchiya",
title = "Polynomiality of Primal-Dual algorithms for semidefinite
Linear
Complementarity Problems Based on the {Kojima-Shindoh-Hara}
Family of Directions",
journal = mprog,
volume = "84",
year = "1999",
pages = "39--53"
}
@techreport{lupong:10,
AUTHOR = "Z. Lu and T.K. Pong",
Title = {Minimizing condition number via convex
programming},
institution = {University of Washington},
address = {Seattle, WA},
number = {},
Year = 2010}
@techreport{pongtseng:09,
AUTHOR = "T.K. Pong and P. Tseng",
Title = {({R}obust) edge-based semidefinite programming
relaxation of sensor network localization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Jan-09},
Year = 2009}
@article{Pong:2010,
Author = {Pong, T. AND Tseng, P.},
Journal = {Mathematical Programming},
Title = {({R}obust) {E}dge-based semidefinite programming relaxation of sensor network localization},
Year = {2010},
}
@article {pong:12,
author = "T.K. Pong",
title={Edge-based semidefinite programming relaxation
of sensor network localization with lower bound constraints},
journal=coap,
pages = "23--44",
volume = "53",
year={2012}
}
@techreport{Pong:2009,
AUTHOR = "T.K. Pong and P. Tseng",
Title = {({R}obust) edge-based semidefinite programming
relaxation of sensor network localization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Jan-09},
Year = 2009}
@techreport{tseng:96,
AUTHOR = "P. Tseng",
Title = {FURTHER NOTES ON THE EXISTENCE OF SEARCH
DIRECTIONS IN INTERIOR-POINT METHODS FOR THE MONOTONE SEMI-DEFINITE
{LCP}},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-96},
Year = 1996}
@techreport{tseng:04,
AUTHOR = "P. Tseng",
Title = {{SOCP} relaxation for nonconvex optimization},
institution = {University of Washington},
address = {Seattle, WA},
number = {Aug-04},
note = "presented at ICCOPT I, RPI, Troy, NY",
Year = 2004}
@article{Tse:98,
AUTHOR = "P. Tseng",
TITLE = "Search directions and convergence
analysis of some infeasible path-following methods
for the monotone semi-definite {LCP}",
journal=oms,
pages = "245-268",
volume = "9",
year={1998}
}
@article{Tsengsiam:05,
AUTHOR = {Tseng, P.},
TITLE = {Second-order cone programming relaxation of sensor network
localization},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {18},
YEAR = {2007},
NUMBER = {1},
PAGES = {156-185},
}
@article{Tseng:2007,
AUTHOR = {Tseng, P.},
TITLE = {Second-order cone programming relaxation of sensor network
localization},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {18},
YEAR = {2007},
NUMBER = {1},
PAGES = {156-185},
}
@article{YZha:98,
author = "Y. Zhang",
title = "On extending some primal-dual interior-point algorithms
from linear programming to semidefinite programming",
journal = siopt,
year = "1998",
volume = "8",
pages = "365-386"
}
## from Mike Todd et al end
## from Ragu et al end
#
@phdthesis{biswasphd07,
author="P. Biswas",
title="Semidefinite programming approaches to distance geometry
problems",
school ="Stanford University",
address="Stanford, CA",
year="2007"
}
@inproceedings{ ElB:94,
author={L. {EL~GHAOUI} and V. BALAKRISHNAN},
title={{S}ynthesis of Fixed-structure Controllers
via Numerical Optimization},
booktitle=cdc,
month=dec,
year={1994},
pages={2678-2683},
}
## from Ragu et al end
###From Laurent:
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AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
Title = {{Convex Optimization in Engineering:
Modeling, Analysis, Algorithms}},
institution = {Delft University of Technology},
address = {Delft, The Netherlands},
number = {on notes from course given by A. Nemirovski},
Year = 1998}
@book {MR1857264,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
TITLE = {Lectures on modern convex optimization},
SERIES = {MPS/SIAM Series on Optimization},
NOTE = {Analysis, algorithms, and engineering applications},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2001},
PAGES = {xvi+488},
ISBN = {0-89871-491-5},
MRCLASS = {90-01 (49-01 90C05 90C22 90C51)},
MRNUMBER = {MR1857264 (2003b:90002)},
MRREVIEWER = {Jos F. Sturm},
}
@article{BNRT:00,
AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.},
title = "On the quality of semidefinite approximations of uncertain
semidefinite programs affected by box uncertainty",
year = "2000",
institution = "MINERVA Optimization Center, Technion -
Israel Institute of Technology",
address = "Technion City, Haifa 32000, Israel",
number = {2/00},
}
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AUTHOR = {Ben-Tal, A. and KOCVARA, M. and Nemirovski, A.S. and ZOWE, J.},
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@Book{VHV:91,
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VOLUME = {18},
YEAR = {1997},
NUMBER = {4},
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ISSN = {0895-4798},
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}
@incollection {MR1447473,
AUTHOR = {EL GHAOUI, L. and LEBRET, H.},
TITLE = {Robust solutions to least squares problems with uncertain
data},
BOOKTITLE = {Recent advances in total least squares techniques and
errors-in-variables modeling (Leuven, 1996)},
PAGES = {161--170},
PUBLISHER = {SIAM},
ADDRESS = {Philadelphia, PA},
YEAR = {1997},
}
#### end from Laurent
##### from math sci search for quadratic
@article {MR1673454,
AUTHOR = {BOMZE, I. M.},
TITLE = {On standard quadratic optimization problems},
NOTE = {Workshop on Global Optimization (Trier, 1997)},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
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Global Optima and Their Applications in Science, Management and
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YEAR = {1998},
NUMBER = {4},
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ISSN = {0925-5001},
CODEN = {JGOPEO},
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E.
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T.},
TITLE = {On copositive programming and standard quadratic
optimization
problems},
NOTE = {GO'99 Firenze},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
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YEAR = {2000},
NUMBER = {4},
PAGES = {301--320},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C25},
MRNUMBER = {1 810 401},
}
@techreport{BomzeDeklerk:01,
author = {I.M. BOMZE and de Klerk, E.},
title = {Solving standard quadratic optimization problems via linear,
semidefinite and copositive programming},
institution = {{Institut fuer Statistik, Universitaet Wien}},
year = {2001},
month = {May},
number = {2001-03},
address = {{Universitaetsstrasse 5, A-1010 Wien, Austria}},
note = {{Available at: {\tt
ssor.twi.tudelft.nl/\~{ }deklerk/publications/sos$\_$copos7.ps}}}
}
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AUTHOR = {GUU, S.M. and LIOU, Y.C.},
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}
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AUTHOR = {FLOUDAS, C.A. and VISWESWARAN, V.},
TITLE = {Quadratic optimization},
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DOI = {10.1007/BF02055201},
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YEAR = {1996},
NUMBER = {3},
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NOTE = {Conference on Computational Methods in Global Optimization, II
(Princeton, NJ, 1991)},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management and
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VOLUME = {2},
YEAR = {1992},
NUMBER = {3},
PAGES = {229--241},
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FJOURNAL = {Journal of Global Optimization},
VOLUME = {2},
YEAR = {1992},
NUMBER = {2},
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ISSN = {0925-5001},
CODEN = {JGOPEO},
}
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JOURNAL = {Ann. Oper. Res.},
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#####additions from two chapters
## put temporary bib entries here to check for typos
#
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primaryClass={math.OC}
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#Chapter 10 bibliography entries
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%bibliography entries from Chapter 18
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###extra refs about matrix completions end
### correlation matrices references
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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Nathan Krislock at 2010-07-05 15:55:49 -0400
%% Saved with string encoding Unicode (UTF-8)
@article{Ma:2010,
Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
Adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1006.5252M},
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Author = {{Ma}, R. and {Cheng}, S.},
Date-Added = {2010-07-05 15:55:18 -0400},
Date-Modified = {2010-07-05 15:55:22 -0400},
Eprint = {1006.5252},
Journal = {ArXiv e-prints},
Keywords = {Mathematics - Numerical Analysis, Computer Science - Numerical Analysis},
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Title = {{Decomposition Approach for Low-rank Matrix Completion}},
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Author = {Mesbahi, M. and Papavassilopoulos, G.P.},
Journal = {Automatic Control, IEEE Transactions on},
Month = {feb},
Number = {2},
Pages = {239 -243},
Title = {On the rank minimization problem over a positive
semidefinite linear matrix inequality},
Volume = {42},
Year = {1997}}
@ARTICLE{871772,
author={Parrilo, P.A. and Khatri, S.},
journal={Automatic Control, IEEE Transactions on}, title={On
cone-invariant linear matrix inequalities},
year={2000},
month={aug},
volume={45},
number={8},
pages={1558 -1563},
keywords={classical Perron-Frobenius theorem;cone-invariant linear
matrix inequalities;linear operator;optimal solution;optimal value;power
iteration-type algorithms;rank minimization problems;spectral
radius;structured singular value;iterative methods;matrix
algebra;minimisation;},
doi={10.1109/9.871772},
ISSN={0018-9286},}
####% PROTEIN DESIGN from Vris
####% Emergent strategies for inverse molecular design
@article {HuBY:09,
author = {Hu, X. and Beratan, D. and Yang, W.},
affiliation = {Department of Chemistry, Duke University, Durham, North Carolina 27708-0354, USA},
title = {Emergent strategies for inverse molecular design},
journal = {Science in China Series B: Chemistry},
publisher = {Science China Press, co-published with Springer},
issn = {1006-9291},
keyword = {Chemistry and Materials Science},
pages = {1769-1776},
volume = {52},
issue = {11},
url = {http://dx.doi.org/10.1007/s11426-009-0260-3},
note = {10.1007/s11426-009-0260-3},
year = {2009}
}
% Branch-and-terminate: a combinatorial optimization algorithm for protein design
@article{GordonM:99,
address = {Division of Chemistry and Chemical Engineering California Institute of Technology Pasadena, California, 91125, USA.},
author = {Gordon, D. B. and Mayo, S. L.},
day = {15},
issn = {0969-2126},
journal = {Structure},
keywords = {scp},
month = sep,
number = {9},
pages = {1089--1098},
pmid = {10508778},
posted-at = {2006-04-25 17:20:26},
priority = {0},
title = {{Branch-and-terminate: a combinatorial optimization algorithm for protein design.}},
url = {http://view.ncbi.nlm.nih.gov/pubmed/10508778},
volume = {7},
year = {1999}
}
%-----------------------------------------------------------
% PROTEIN-PROTEIN INTERACTION
% Protein-protein docking by simulating the process of association subject to biochemical constraints
@article{MotiejunasGWFJWW:08,
address = {EML Research gGmbH, Schloss-Wolfsbrunnenweg 33, 69118 Heidelberg, Germany; Faculty of Biosciences, Interdisciplinary Center for Scientific Computing, University of Heidelberg, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany},
author = {Motiejunas, D. and Gabdoulline, R. and Wang, T. and Feldman-Salit, A. and Johann, T. and Winn, P.J. and Wade, R.C.},
doi = {10.1002/prot.21867},
journal = {Proteins: Structure, Function, and Bioinformatics},
keywords = {bd, continuum-model, electrostatic, protein-protein},
number = {9999},
pages = {NA+},
posted-at = {2009-04-28 13:16:54},
priority = {2},
title = {{Protein-protein docking by simulating the process of association subject to biochemical constraints}},
url = {http://dx.doi.org/10.1002/prot.21867},
volume = {9999},
year = {2008}
}
% Improved side-chain modeling for protein–protein docking
@article {WangSB:05,
author = {Wang, Chu and Schueler-Furman, Ora and Baker, David},
title = {Improved side-chain modeling for protein–protein docking},
journal = {Protein Science},
volume = {14},
number = {5},
publisher = {Cold Spring Harbor Laboratory Press},
issn = {1469-896X},
url = {http://dx.doi.org/10.1110/ps.041222905},
doi = {10.1110/ps.041222905},
pages = {1328--1339},
keywords = {protein–protein docking, side-chain modeling, rotamer minimization, side-chain entropy},
keywords = {PDB, Protein Data Bank, RMSD, root-mean-square deviation.},
year = {2005},
}
% Anchor residues in protein-protein interactions
%-----------------------------------------------------------
% NP-HARDNESS OF SIDE CHAIN PACKING
@article{Akutsu1997,
title = {NP-hardness results for protein side-chain packing},
author = {Akutsu, T.},
year = {1997},
volume = {8},
pages = {180--186},
journal = {Genome Informatics},
url = {http://www.jsbi.org/journal1/gi08/},
number={},
}
%-----------------------------------------------------------
% HOMOLOGY MODELING AND FOLD RECOGNITION
% From fold recognition to homology modeling: an analysis of protein modeling challenges at different levels of prediction complexity
@article{OlszewskiYDT:04,
title = "From fold recognition to homology modeling: an analysis of protein modeling challenges at different levels of prediction complexity",
journal = "Computers & Chemistry",
volume = "24",
number = "3-4",
pages = "499 -- 510",
year = "2000",
note = "",
issn = "0097-8485",
doi = "DOI: 10.1016/S0097-8485(99)00078-9",
url = "http://www.sciencedirect.com/science/article/pii/S0097848599000789",
author = "Olszewski, K.A. and Yan, L. and Edwards, D. and Yeh, T.",
keywords = "Homology modeling",
keywords = "Fold recognition",
keywords = "CASP3"
}
%-----------------------------------------------------------
% ROTAMER LIBRARY
%A Smoothed Backbone-Dependent Rotamer Library for Proteins Derived from Adaptive Kernel Density Estimates and Regressions
@article{ShapovalovD2011,
title = "A Smoothed Backbone-Dependent Rotamer Library for Proteins Derived from Adaptive Kernel Density Estimates and Regressions",
journal = "Structure",
volume = "19",
number = "6",
pages = "844 - 858",
year = "2011",
note = "",
issn = "0969-2126",
doi = "DOI: 10.1016/j.str.2011.03.019",
url = "http://www.sciencedirect.com/science/article/pii/S0969212611001444",
author = "Shapovalov, M.V. and Dunbrack, R.L."
}
% The penultimate rotamer library
@article {LovellWRR:00,
author = {Lovell, S.C. and Word, J.M. and Richardson, J.S. and Richardson, D.C.},
title = {The penultimate rotamer library},
journal = {Proteins: Structure, Function, and Bioinformatics},
volume = {40},
number = {3},
publisher = {Wiley Subscription Services, Inc., A Wiley Company},
issn = {1097-0134},
url = {http://dx.doi.org/10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2},
doi = {10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2},
pages = {389--408},
keywords = {side-chain rotamer library, all-atom contact analysis, structure validation, reversed leucines, explicit hydrogens, van der Waals analysis},
year = {2000},
}
%-----------------------------------------------------------
% DEAD END ELIMINATION
% The dead-end elimination theorem and its use in protein side-chain positioning
@article{DesmetMHL:92,
author = {Desmet, J. and Maeyer, M.D. and Hazes, B. and Lasters, I.},
day = {09},
doi = {10.1038/356539a0},
issn = {0028-0836},
journal = {Nature},
keywords = {dee, rotamers},
month = apr,
number = {6369},
pages = {539--542},
posted-at = {2006-04-07 14:33:40},
priority = {0},
publisher = {Nature Publishing Group},
title = {{The dead-end elimination theorem and its use in protein side-chain positioning}},
url = {http://dx.doi.org/10.1038/356539a0},
volume = {356},
year = {1992}
}
% Efficient rotamer elimination applied to protein side-chains and related spin glasses
@article{Goldstein:94,
title = "Efficient rotamer elimination applied to protein side-chains and related spin glasses",
journal = "Biophysical Journal",
volume = "66",
number = "5",
pages = "1335 - 1340",
year = "1994",
note = "",
issn = "0006-3495",
doi = "DOI: 10.1016/S0006-3495(94)80923-3",
url = "http://www.sciencedirect.com/science/article/pii/S0006349594809233",
author = "Goldstein, R.F. "
}
%-----------------------------------------------------------
% ENERGY FUNCTION
% Computing van der Waals energies in the context of the rotamer approximation
@article{GrigoryanOK:07,
author = {Grigoryan, G. and Ochoa, A. and Keating, A.E.},
doi = {10.1002/prot.21470},
journal = {Proteins},
keywords = {keating-import},
month = sep,
number = {4},
pages = {863--878},
posted-at = {2009-04-08 21:33:49},
priority = {2},
title = {{Computing van der Waals energies in the context of the rotamer approximation}},
url = {http://www.hubmed.org/display.cgi?uids=17554777},
volume = {68},
year = {2007}
}
@article{MR1772826,
AUTHOR = {Helmberg, C. and Rendl, F. and Weismantel, R.},
TITLE = {A semidefinite programming approach to the quadratic
knapsack
problem},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {4},
YEAR = {2000},
NUMBER = {2},
PAGES = {197--215},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {1772826},
MRREVIEWER = {Alejandro Crema},
DOI = {10.1023/A:1009898604624},
URL = {http://dx.doi.org/10.1023/A:1009898604624},
}
@article{WaNaMu:12,
title={Strange behaviors of interior-point methods for solving semidefinite programming problems in polynomial optimization},
author={Waki, H. and Nakata, M. and Muramatsu, M.},
journal={Computational Optimization and Applications},
volume={53},
number={3},
pages={823--844},
year={2012},
publisher={Springer}
}
@article {MR1614078,
AUTHOR = {Vandenberghe, L. and Boyd, S. and Wu, S-P.},
TITLE = {Determinant maximization with linear matrix inequality
constraints},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {19},
YEAR = {1998},
NUMBER = {2},
PAGES = {499--533},
ISSN = {0895-4798},
MRCLASS = {90C25 (65F30)},
MRNUMBER = {1614078},
MRREVIEWER = {Mei-Qin Chen},
DOI = {10.1137/S0895479896303430},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/S0895479896303430},
}
@incollection {MR3297415,
AUTHOR = {Zhang, Q.},
TITLE = {The orthogonal complement of faces for cones associated with
the cone of positive semidefinite matrices},
BOOKTITLE = {Advances in global optimization},
SERIES = {Springer Proc. Math. Stat.},
VOLUME = {95},
PAGES = {15--22},
PUBLISHER = {Springer, Cham},
YEAR = {2015},
MRCLASS = {90C22 (90C46)},
MRNUMBER = {3297415},
MRREVIEWER = {Ning Ruan},
DOI = {10.1007/978-3-319-08377-3_2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-319-08377-3_2},
}
@article {MR2472421,
AUTHOR = {Yan, S. and Liu, J. and Tang, X. and Huang, T.S.},
TITLE = {Formulating face verification with semidefinite programming},
JOURNAL = {IEEE Trans. Image Process.},
FJOURNAL = {IEEE Transactions on Image Processing},
VOLUME = {16},
YEAR = {2007},
NUMBER = {11},
PAGES = {2802--2810},
ISSN = {1057-7149},
MRCLASS = {68T10 (68T45 90C22)},
MRNUMBER = {2472421},
DOI = {10.1109/TIP.2007.906271},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1109/TIP.2007.906271},
}
%%%%%%%%%%%%%%%%%%%%%from Hao Hu May/21
@article{li2015graph,
title={Graph partitioning via parallel submodular approximation to accelerate distributed machine learning},
author={Li, M. and Andersen, D. G. and Smola, A. J.},
journal={arXiv preprint arXiv:1505.04636},
year={2015}
}
@article{pirim2012clustering,
title={Clustering of high throughput gene expression data},
author={Pirim, H. and Ek{\c{s}}io{\u{g}}lu, B. and Perkins, A. D. and Y{\"u}ceer, {\c{C}}.},
journal={Computers \& operations research},
volume={39},
number={12},
pages={3046--3061},
year={2012},
publisher={Elsevier}
}
@incollection{boisvert1997matrix,
title={Matrix market: a web resource for test matrix collections},
author={Boisvert, R. F. and Pozo, R. and Remington, K. and Barrett, R. F. and Dongarra, J. J.},
booktitle={Quality of Numerical Software},
pages={125--137},
year={1997},
publisher={Springer}
}
@misc{color02,
title = {{COLOR02/03/04}: Graph Coloring and its Generalizations},
author = {D. S. Johnson and A. Mehrotra and M. A. Trick},
year = {2002},
url={https://mat.tepper.cmu.edu/COLOR04/}
}
@misc{kungurtsev2018two,
title={A Two-Step Pre-Processing for Semidefinite Programming},
author={V. Kungurtsev and J. Marecek},
year={2020},
eprint={1806.10868},
archivePrefix={arXiv},
primaryClass={math.OC}
}
@article{hu2019solving,
title={On solving the quadratic shortest path problem},
author={Hu, H. and Sotirov, R.},
journal={INFORMS Journal on Computing},
year={2019},
publisher={INFORMS}
}
#
# added: polynomial optimization apr14/23
@article {MR4552592,
AUTHOR = {Gonz\'{a}lez-Rodr\'{\i}guez, B. and Ossorio-Castillo, J. and
Gonz\'{a}lez-D\'{\i}az, J. and Gonz\'{a}lez-Rueda, \'{A}ngel M. and Penas,
D.R. and Rodr\'{\i}guez-Mart\'{\i}nez, D.},
TITLE = {Computational advances in polynomial optimization: {RAPOS}a, a
freely available global solver},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {85},
YEAR = {2023},
NUMBER = {3},
PAGES = {541--568},
ISSN = {0925-5001},
MRCLASS = {90-04 (90C23)},
MRNUMBER = {4552592},
DOI = {10.1007/s10898-022-01229-w},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-022-01229-w},
}
@book {MR4465042,
AUTHOR = {Zhong, Suhan},
TITLE = {Data {S}cience {O}ptimization with {P}olynomials},
NOTE = {Thesis (Ph.D.)--University of California, San Diego},
PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
YEAR = {2022},
PAGES = {120},
ISBN = {979-8834-05432-0},
MRCLASS = {Thesis},
MRNUMBER = {4465042},
URL =
{http://gateway.proquest.com.proxy.lib.uwaterloo.ca/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:29206394},
}
@article {MR4438384,
AUTHOR = {Kim, Sunyoung and Kojima, Masakazu and Toh, Kim-Chuan},
TITLE = {Doubly nonnegative relaxations for quadratic and polynomial
optimization problems with binary and box constraints},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {193},
YEAR = {2022},
NUMBER = {2, Ser. B},
PAGES = {761--787},
ISSN = {0025-5610},
MRCLASS = {90C23 (90C22 90C25 90C26)},
MRNUMBER = {4438384},
DOI = {10.1007/s10107-020-01594-y},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-020-01594-y},
}
@article {MR4414541,
AUTHOR = {Zhu, Lin and Zhang, Xinzhen},
TITLE = {Semidefinite relaxation method for polynomial optimization
with second-order cone complementarity constraints},
JOURNAL = {J. Ind. Manag. Optim.},
FJOURNAL = {Journal of Industrial and Management Optimization},
VOLUME = {18},
YEAR = {2022},
NUMBER = {3},
PAGES = {1505--1517},
ISSN = {1547-5816},
MRCLASS = {90C23 (90C22 90C33)},
MRNUMBER = {4414541},
MRREVIEWER = {Sunyoung Kim},
DOI = {10.3934/jimo.2021030},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.3934/jimo.2021030},
}
@article {MR3936973,
AUTHOR = {Dickinson, Peter J. C. and Povh, Janez},
TITLE = {A new approximation hierarchy for polynomial conic
optimization},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {73},
YEAR = {2019},
NUMBER = {1},
PAGES = {37--67},
ISSN = {0926-6003},
MRCLASS = {90C22 (11E25 13P25 14P10 90C05 90C30)},
MRNUMBER = {3936973},
MRREVIEWER = {Markus Schweighofer},
DOI = {10.1007/s10589-019-00066-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-019-00066-0},
}
@incollection {MR3051234,
AUTHOR = {Lasserre, Jean B.},
TITLE = {Moments and positive polynomials for optimization},
BOOKTITLE = {Modern optimization modelling techniques},
SERIES = {Adv. Courses Math. CRM Barcelona},
PAGES = {1--130},
PUBLISHER = {Birkh\"{a}user/Springer Basel AG, Basel},
YEAR = {2012},
MRCLASS = {90C22 (14P10 90-02)},
MRNUMBER = {3051234},
MRREVIEWER = {Mehdi Ghasemi},
DOI = {10.1007/978-3-0348-0291-8},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-0348-0291-8},
}
@article {MR3001030,
AUTHOR = {Waki, Hayato and Nakata, Maho and Muramatsu, Masakazu},
TITLE = {Strange behaviors of interior-point methods for solving
semidefinite programming problems in polynomial optimization},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {53},
YEAR = {2012},
NUMBER = {3},
PAGES = {823--844},
ISSN = {0926-6003},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {3001030},
MRREVIEWER = {Didier Henrion},
DOI = {10.1007/s10589-011-9437-8},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-011-9437-8},
}
.publs.bib 0000640 0010230 0010230 00000325335 14547406071 013565 0 ustar hwolkowi hwolkowicz # This file contains personal publication bib entries (including
## student theses.
## The bib entries were taken from MathSci - May 10, 2000.
##
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
# An http version has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/refpubl/refpubl.html
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
#
###################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
#
#
# 1. Books and special issues first.
# 2. Chapters in Books second
# 3. Papers in refereed Journals third
# 3. Papers in refereed Conference Proceedings fourth
# 4. Technical Reports fifth
# 5. Theses (including students' theses) sixth
# 111111 BOOKS BOOKS (authored and edited)
@book{fixedpointalgs:11,
TITLE = {Fixed-point algorithms for inverse problems in science and
engineering},
SERIES = {Springer Optimization and Its Applications},
VOLUME = {49},
EDITOR = {Bauschke, Heinz H. and Burachik, Regina S. and Combettes,
Patrick L. and Elser, Veit and Luke, D. Russell and Wolkowicz,
Henry},
PUBLISHER = {Springer, New York},
YEAR = {2011},
PAGES = {xii+402},
ISBN = {978-1-4419-9568-1},
MRCLASS = {49-06 (47-06 49N45 65-06 90-06)},
MRNUMBER = {2858828},
DOI = {10.1007/978-1-4419-9569-8},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-9569-8},
}
@book{BGKW:07,
TITLE = {12th ILAS Conference Proceeding, Regina 2005},
EDITOR = {
R. Bhatia and R. Guralnick and S. Kirkland and
H. Wolkowicz},
NOTE = {Held in Regina, SK, June 26--29, 2005},
publisher="Elsevier",
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {421,1},
YEAR = {2007},
PAGES = {1--2},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15-06},
MRNUMBER = {MR2290680},
}
@book{Sturmissue:07,
EDITOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Large Scale Nonlinear and Semidefinite Programming},
NOTE = {Dedicated to the memory of Jos Sturm,
Math. Programming, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
VOLUME = {109, 2-3, Ser. B},
YEAR = {2007},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/d4353m3642j7n008/}
}
@book{PardWo:01,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {New approaches for hard discrete optimization},
NOTE = {Papers from the Fields Workshop on Novel Approaches to
Hard
Discrete Optimization held at the University of Waterloo,
Waterloo, ON, April 26--28, 2001,
J. Comb. Optim. {\bf 6} (2002), no. 3},
PUBLISHER = {Springer},
ADDRESS = {Norwell, MA},
YEAR = {2002},
PAGES = {i--ii and 235--352},
ISSN = {1382-6905},
MRCLASS = {90-06 (90C27)},
MRNUMBER = {MR1920209},
}
@book {PardWolk:02,
TITLE = {Novel approaches to hard discrete optimization},
SERIES = {Fields Institute Communications},
VOLUME = {37},
EDITOR = {Pardalos, Panos and Wolkowicz, Henry},
NOTE = {Papers from the workshop held at the University of Waterloo,
Waterloo, ON, April 26--28, 2001},
PUBLISHER = {American Mathematical Society, Providence, RI},
YEAR = {2003},
PAGES = {viii+181},
ISBN = {0-8218-3248-4},
MRCLASS = {00B25 (68-06 90-06)},
MRNUMBER = {1987230},
DOI = {10.1090/fic/037},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/fic/037},
}
@proceedings{PardWolk:96,
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
TITLE = {Topics in Semidefinite and Interior-Point Methods},
BOOKTITLE = {Proceedings of the workshop held in Toronto, ON, May 1996},
EDITOR = "P. Pardalos and H. Wolkowicz",
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xx+250},
ISBN = {0-8218-0825-7},
MRCLASS = {90-06},
MRNUMBER = {98j:90005},
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html"
}
@book{PardWolk:97,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {Semidefinite Programming and Interior-Point Approaches for
Combinatorial Optimization Problems},
NOTE = {Papers from the workshop held at the University of Toronto,
Toronto, ON, May 15--17, 1996,
J. Comb. Optim. {\bf 2} (1998), no. 1},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Hingham, MA},
YEAR = {1998},
PAGES = {1--109},
ISSN = {1382-6905},
MRCLASS = {90-06 (90C26 90C27)},
MRNUMBER = {99a:90012},
}
@book{OvWo:96,
TITLE = {Semidefinite Programming},
EDITOR = "M.L. Overton and H. Wolkowicz",
NOTE = {Dedicated to the memory of Svatopluk Poljak,
Math. Programming {\bf 77} (1997), no. 2, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1997},
PAGES = {i--ii and 97--320},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90-06 (00B30)},
MRNUMBER = {98a:90010},
}
@book{PSWZ:94,
TITLE = {Special Issue Honoring Ingram Olkin},
EDITOR = {F. Pukelsheim and G. P. H. Styan and H. Wolkowicz and I.
Zaballa},
NOTE = {Linear Algebra and Its Applications
{\bf 199} (1994)},
PUBLISHER = {Elsevier Science Inc.},
YEAR = {1994},
PAGES = {i--viii and 445 pp.},
}
@book{PardWolk:94,
EDITOR = "P. Pardalos and H. Wolkowicz",
TITLE = {Quadratic assignment and related problems},
NOTE = {Papers from the workshop held at Rutgers University, New
Brunswick, New Jersey, May 20--21, 1993},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1994},
PAGES = {xii+364},
ISBN = {0-8218-6607-9},
MRCLASS = {90-06 (90C27 90C30 90C35)},
MRNUMBER = {95b:90005},
}
@book{SaVaWo:97,
editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
TITLE = {Handbook of semidefinite programming},
SERIES = {International Series in Operations Research \& Management
Science, 27},
NOTE = {Theory, algorithms, and applications},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Boston, MA},
YEAR = {2000},
PAGES = {xxviii+654},
ISBN = {0-7923-7771-0},
MRCLASS = {90-00 (90C22)},
MRNUMBER = {MR1778223 (2001k:90001)},
MRREVIEWER = {K. G. Murty},
}
# 222222 CHAPTERS (chapters in books)
###############################
@incollection{KrislockWolk:10,
author = "Krislock, N. and Wolkowicz, H.",
TITLE = {Euclidean distance matrices and applications},
BOOKTITLE = {Handbook on semidefinite, conic and polynomial optimization},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {166},
PAGES = {879--914},
PUBLISHER = {Springer, New York},
YEAR = {2012},
MRCLASS = {62H11 (15A99 90C22)},
MRNUMBER = {2894673},
DOI = {10.1007/978-1-4614-0769-0\_30},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-0769-0_30},
}
@incollection{Wolkgenerat:09,
author = "H. Wolkowicz",
TITLE = {Generating eigenvalue bounds using optimization},
BOOKTITLE = {Nonlinear analysis and variational problems},
SERIES = {Springer Optim. Appl.},
VOLUME = {35},
PAGES = {465--490},
PUBLISHER = {Springer, New York},
YEAR = {2010},
MRCLASS = {15A42 (90C25 90C31 90C32)},
MRNUMBER = {2581881},
MRREVIEWER = {Jorma Kaarlo Merikoski},
DOI = {10.1007/978-1-4419-0158-3\_29},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-0158-3_29},
}
@incollection{WoHLA:05,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "CRC Handbook of Linear Algebra (HLA)",
editor = "L. Hogben",
Publisher="CRC Press",
pages = {51-1--51-13},
ADDRESS = {Bacon Raton, Fl},
note = "2008 Choice Magazine Outstanding Academic Title",
URL = "www.crcpress.com/shopping\_cart/products/product\_detail.asp?sku=C5106\&parent\_id=\&pc=",
year = "2007"
}
@incollection{Wolknonlinassign:99,
author = "H. Wolkowicz",
TITLE = {Semidefinite programming approaches to the quadratic
assignment problem},
BOOKTITLE = {Nonlinear assignment problems},
SERIES = {Comb. Optim.},
VOLUME = {7},
PAGES = {143--174},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR1893727},
}
@incollection{AlWo:99,
author = "A.Y. Alfakih and H. Wolkowicz",
TITLE = {Matrix completion problems},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {533--545},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (65F30)},
MRNUMBER = {MR1778240},
}
@incollection{NeWoYe:99,
author = "Y.E. Nesterov and H. Wolkowicz and Y. Ye",
TITLE = {Semidefinite programming relaxations of nonconvex
quadratic
optimization},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {361--419},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C26)},
MRNUMBER = {MR1778235},
}
@incollection{KrukWolk:99,
author = "S. Kruk and H. Wolkowicz",
TITLE = {Sequential, quadratic constrained, quadratic programming for
general nonlinear programming},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {563--575},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (90C55)},
MRNUMBER = {MR1778242},
}
@incollection{wolkcamb:99,
author = "H. Wolkowicz",
title = "Semidefinite and {L}agrangian Relaxations for hard
combinatorial problems",
booktitle = "Proceedings of 19th IFIP TC7 Conference on
System Modelling and Optimization, July, 1999, Cambridge",
editor = "M.J.D. Powell",
Publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = {269-309},
year = "2000"
}
@incollection{Wolkapplhand:99,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
booktitle = "Handbook of
Applied Optimization",
editor = "P.M. Pardalos and M.G.C. Resende",
Publisher="Oxford University Press, New York",
ISBN = {0-19-512594-0},
year = "2002",
pages = {40-50},
}
@incollection{wolk:98,
author="H. Wolkowicz",
title = "Duality for Semidefinite Programming",
institution="University of Waterloo",
type="Research Report",
booktitle="Encyclopedia of Optimization",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
pages = "",
year="2001",
}
# 333333 PAPERS in REFEREED JOURNALS
###############################
# start of journal ... PAPERS
###############################
###2024##########################
@techreport{SongDonglasLeoCarlile:24,
title = "Exact Recovery of Points for a given {E}uclidean Distance
Matrix",
author = "Mengmeng Song
and Douglas Goncalves
and Woosuk L. Jung
and Carlile Campos Lavor
and Antonio Mucherino
and Henry Wolkowicz",
institution="University of Waterloo",
note = "43 pages, research report",
address = "Waterloo, Ontario",
year="2024",
note = "in progress"
}
###2023##########################
@techreport{CensorMoursiWeamsWolk:22,
title = "Regularized Nonsmooth {N}ewton Algorithms for Best
Approximation with Applications",
author = "Y. Censor and and W. Moursi and T. Weames and H. Wolkowicz",
institution="University of Waterloo",
note = "37 pages, research report",
address = "Waterloo, Ontario",
year="2022 submitted",
}
@techreport{WangWolk:22,
doi = {10.48550/ARXIV.2211.00834},
url = {https://arxiv.org/abs/2211.00834},
author = {Wang, Fei and Wolkowicz, Henry},
keywords = {Optimization and Control (math.OC), FOS: Mathematics, FOS: Mathematics},
title = {Singularity degree of non-facially exposed faces},
note = {19 pages},
publisher = {arXiv, 2211.00834, 19 pages},
year="2022 submitted",
}
@techreport{Huawei:22,
author = {Zhenan Fan and Haesol Im and Tyler Weames and Henry
Wolkowicz and Yong Zhang and Zirui Zhou},
title = {Machine Learning with Knowledge under Infinitely Many
Constraints},
address = {University of Waterloo},
note = {21 pages},
year="2022 under revision",
}
@techreport{HuaweiLPstable:23,
author = {Zhenan Fan and Haesol Im and Tyler Weames and Henry
Wolkowicz and Yong Zhang and Zirui Zhou},
title = { A Stable Primal-Dual Interior-Point Algorithm for Linear Programming
with Simplex Type Steps and Warm Starts},
address = {University of Waterloo},
note = {31 pages},
year="2023 in progress",
}
@techreport{HaLeWaDaHeCondNumb:23,
author = {W.L. Jung and D. Torregrosa-Belen and H. Wolkowicz},
title = {Preconditioning, Numerical Computations
and the {O}mega-Condition Number},
institution = {University of Waterloo},
address = {Waterloo, Canada},
note = {31 pages},
year="2023 in progress",
}
@article{ImWolk:22,
title = "Revisiting Degeneracy, Strict Feasibility, Stability, in
Linear Programming",
institution="University of Waterloo",
note = "35 pages, 10.48550/ARXIV.2203.02795",
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
volume = "310",
number = "2",
pages = "495-510",
doi = {10.48550/ARXIV.2203.02795},
url = {https://arxiv.org/abs/2203.02795},
author = {Im, H. and Wolkowicz, H.},
keywords = {Optimization and Control (math.OC), FOS: Mathematics, FOS: Mathematics, 90C05, 90C49},
year="2023",
}
###2021##########################
@article{ImWolk:21,
AUTHOR = {Im, H. and Wolkowicz, H.},
TITLE = {A strengthened {B}arvinok-{P}ataki bound on {SDP} rank},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {49},
YEAR = {2021},
NUMBER = {6},
PAGES = {837--841},
ISSN = {0167-6377},
MRCLASS = {90C57 (52B12 90C22)},
MRNUMBER = {4320399},
MRREVIEWER = {Franz Rendl},
DOI = {10.1016/j.orl.2021.09.004},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.orl.2021.09.004},
}
@techreport{hu2023robustineq,
title={{QKD} key rate with inequalities and nuclear norm},
author={H. Hu and H. Im and J. Lin and N. L\"utkenhaus and H. Wolkowicz},
institution="University of Waterloo",
note = "25 pages, research report",
address = "Waterloo, Ontario",
year="2023",
}
@article{hu2021robust,
title={Robust Interior Point Method for Quantum Key Distribution Rate Computation},
author={H. Hu and H. Im and J. Lin and N. L\"utkenhaus and H. Wolkowicz},
eprint={2104.03847},
archivePrefix={arXiv},
journal = {{Quantum}},
volume = {6},
pages = {792--840},
DOI = {https://doi.org/10.22331/q-2022-09-08-792},
url = {https://quantum-journal.org/papers/q-2022-09-08-792/},
year = {2022},
primaryClass={quant-ph}
}
@article{HuImLiWo:21,
title={A semismooth {N}ewton-type method for the nearest doubly
stochastic matrix problem},
author={H. Hu and H. Im and X. Li and H. Wolkowicz},
note = {arxiv.org/abs/2107.09631, 35 pages},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
volume = {May},
year={2023},
}
@techreport{GHKW:21,
title = "{SDP} Relaxations and {ADMM} for Power Flow Problems",
author = "B. Ghaddar and H. Hu and O. Kuryatnikova and H. Wolkowicz",
institution="University of Waterloo",
note = "45 pages, research report",
address = "Waterloo, Ontario",
year="2021",
}
###2020##########################
@techreport {BurkImWolk:20,
doi = {10.48550/ARXIV.2009.01450},
url = {https://arxiv.org/abs/2009.01450},
author = {Burkowski, F. and Im, H. and Wolkowicz, H.},
keywords = {Optimization and Control (math.OC), FOS: Mathematics, FOS: Mathematics},
title = {A {P}eaceman-{R}achford Splitting Method for the Protein Side-Chain Positioning Problem},
publisher = {arXiv},
address = "Waterloo, Ontario",
institution="University of Waterloo",
note = {arxiv.org/abs/2009.01450,21},
year = {2022},
copyright = {arXiv.org perpetual, non-exclusive license}
}
###2019##########################
@article{LiPongWolk:19,
author = "X. Li and T.K. Pong and H. Sun and H. Wolkowicz",
TITLE = {A strictly contractive {P}eaceman-{R}achford splitting method
for the doubly nonnegative relaxation of the minimum cut
problem},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {78},
YEAR = {2021},
NUMBER = {3},
PAGES = {853--891},
ISSN = {0926-6003},
MRCLASS = {90C22 (05C70 90C25 90C27 90C59)},
MRNUMBER = {4221619},
DOI = {10.1007/s10589-020-00261-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-020-00261-4},
}
@article{HSW:19,
title={Facial Reduction for Symmetry Reduced Semidefinite Programs},
author={H. Hu and R. Sotirov and H. Wolkowicz},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
pages = {475-529},
volume = {200},
year={2023},
note = {published Sept. 2022},
eprint={1912.10245},
archivePrefix={arXiv},
primaryClass={math.OC}
}
###2018##########################
@techreport{HSWWb:18,
title = "Finding a ``nice'' principal submatrix completion",
author = "H. Hu and S. Sremac and H.J. Woerdeman and H. Wolkowicz",
institution="University of Waterloo",
note = "16 pages, research report",
address = "Waterloo, Ontario",
year="2019",
}
@article{GHILW:20,
AUTHOR = {Graham, N. and Hu, H. and Im, H. and Li, X. and
Wolkowicz, H.},
TITLE = {A restricted dual {P}eaceman-{R}achford splitting method for a
strengthened {DNN} relaxation for {QAP}},
JOURNAL = {INFORMS J. Comput.},
FJOURNAL = {INFORMS Journal on Computing},
VOLUME = {34},
YEAR = {2022},
NUMBER = {4},
PAGES = {2125--2143},
ISSN = {1091-9856},
MRCLASS = {90C27 (90B80 90C22)},
MRNUMBER = {4485042},
DOI = {10.1287/ijoc.2022.1161},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/ijoc.2022.1161},
}
###2017##########################
@article{SreWangWolk:17,
author = "L. Pattersson and S. Sremac and F. Wang and H. Wolkowicz",
TITLE = {Noisy {E}uclidean distance matrix completion with a single
missing node},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {75},
YEAR = {2019},
NUMBER = {4},
PAGES = {973--1002},
ISSN = {0925-5001},
MRCLASS = {90C22 (15A83 90C20)},
MRNUMBER = {4031889},
DOI = {10.1007/s10898-019-00825-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-019-00825-7},
}
@article{FLWW:17,
author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz",
TITLE = {Parametric convex quadratic relaxation of the quadratic
knapsack problem},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {281},
YEAR = {2020},
NUMBER = {1},
PAGES = {36--49},
ISSN = {0377-2217},
MRCLASS = {90C20 (90C10)},
MRNUMBER = {4018044},
MRREVIEWER = {Michele Monaci},
DOI = {10.1016/j.ejor.2019.08.027},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.ejor.2019.08.027},
}
@inproceedings {FLWW:18,
author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz",
title = "Extending cover inequalities for the quadratic
knapsack problem to relaxations in lifted space",
Series = "The XIX Latin-Iberoamerican Conference on Operations Research,
CLAIO 2018",
Editors = "David Mauricio and Andre Mauricio",
ISBN = {978-612-48146-1-7},
pages = "353-360",
ISBN = {978-1-4614-7621-4; 978-1-4614-7620-7},
year="2018"
}
@inproceedings {FLWWOberw:19,
author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz",
title = "Convexification of the Quadratic Knapsack Problem
with Integrated Cut Strengthening",
Series = "Proceedings of the workshop on Mixed-integer Nonlinear
Optimization: a hatchery for modern mathematics, Mathematisches
Forschungsinstitut",
pages = "19-21",
address = "Oberwolfach, Germany",
year="2019"
}
@article{SWW:17,
author={S. Sremac and H.J. Woerdeman and H. Wolkowicz},
TITLE = {Error bounds and singularity degree in semidefinite
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {31},
YEAR = {2021},
NUMBER = {1},
PAGES = {812--836},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C25)},
MRNUMBER = {4227005},
DOI = {10.1137/19M1289327},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/19M1289327},
}
@misc{SWW:17b,
title={Complete Facial Reduction in One Step for Spectrahedra},
author = "S. Sremac and H.J. Woerdeman and H. Wolkowicz",
eprint={1710.07410},
archivePrefix={arXiv},
note = {1710.07410, arXiv},
primaryClass={math.OC},
year={2017}
}
@Incollection{SWWb:17,
author="Sremac, S. and Woerdeman, H.J. and Wolkowicz, H.",
TITLE = {Maximum determinant positive definite {T}oeplitz completions},
BOOKTITLE = {Operator theory, analysis and the state space approach},
SERIES = {Oper. Theory Adv. Appl.},
VOLUME = {271},
PAGES = {421--441},
PUBLISHER = {Birkh\"{a}user/Springer, Cham},
YEAR = {2018},
MRCLASS = {15A83 (15A15 15B05 90C22)},
MRNUMBER = {3889666},
MRREVIEWER = {Jin Zhong},
}
@inproceedings{RWWradicalideal:17,
title = "An {SDP}-based method for the real radical ideal
membership test",
author = "G. Reid and F. Wang and H. Wolkowicz",
editors="Tudor Jebelean,
Viorel Negru,
Tetsuo Ida,
Dana Petcu,
Stephen Watt,
Daniela Zaharie",
Series = "SYNASC2017,
International Symposium on Symbolic and Numeric Algorithms for
Scientific Computing",
year="2017"
}
@techreport{NeWoXia:17,
title = "Completely positive Low-Rank Matrix Completion
using Nuclear Norm with Facial Reduction",
author = "Y. Nesterov and H. Wolkowicz and Y. Xia",
institution="University of Waterloo",
note = "in progress",
address = "Waterloo, Ontario",
year="2017",
}
@article{MPWWW:17,
author="Ma, S. and Wang, F. and Wei, L. and Wolkowicz, H.",
TITLE = {Robust principal component analysis using facial reduction},
JOURNAL = {Optim. Eng.},
FJOURNAL = {Optimization and Engineering. International Multidisciplinary
Journal to Promote Optimization Theory \& Applications in
Engineering Sciences},
VOLUME = {21},
YEAR = {2020},
NUMBER = {3},
PAGES = {1195--1219},
ISSN = {1389-4420},
MRCLASS = {90C26 (65K10 90C27)},
MRNUMBER = {4125726},
MRREVIEWER = {Wenxing Zhu},
DOI = {10.1007/s11081-019-09476-9},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11081-019-09476-9},
}
@techreport{DrusSremWolk:17,
author = "D. Drusvyatskiy and S. Sremac and H. Wolkowicz",
title = "Three views of facial reduction in cone optimization",
institution="University of Waterloo",
note = "survey in progress",
address = "Waterloo, Ontario",
year="2017",
}
\usepackage{textcomp}
\textregistered\textcopyright
\sffamily\textregistered\textcopyright
@article{DrusWolk:16,
author = "D. Drusvyatskiy and H. Wolkowicz",
title = "The many faces of degeneracy in conic optimization",
journal = "Foundations and Trends\textsuperscript{\tiny\textregistered} in Optimization",
institution="University of Waterloo",
volume = "3",
number = "2",
address = "Waterloo, Ontario",
pages = "77-170",
url =
{https://books.google.ca/books/about/The_Many_Faces_of_Degeneracy_in_Conic_Op.html?id=VgnZvQEACAAJ&redir_esc=y},
DOI = {http://dx.doi.org/10.1561/2400000011},
issn = {2167-3888},
year="2017",
}
###2016##########################
@techreport{IanDavidsonWolk:16,
author = "I. Davidson and H. Wolkowicz",
title = "Rank restricted semidefinite matrices and image closedness",
institution="University of Waterloo",
note = "submitted",
pages = "1-12",
address = "Waterloo, Ontario",
year="2016",
}
@misc{Wolktalkdimacs:16,
author = "H. Wolkowicz",
note = "Based on survey paper:
The many faces of degeneracy in conic optimization,
(with D. Drusvyatskiy)",
title = "Tutorial: Facial Reduction in Cone Optimization with Applications to
Matrix Completions,
at: DIMACS Workshop on Distance Geometry: Theory and Applications",
address = "DIMACS, NJ",
year="2016",
}
@article {HuangWolkXYe:16,
author = "S. Huang and H. Wolkowicz",
TITLE = {Low-rank matrix completion using nuclear norm minimization and
facial reduction},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {72},
YEAR = {2018},
NUMBER = {1},
PAGES = {5--26},
ISSN = {0925-5001},
MRCLASS = {65F22 (52A41 65K10 90C22 90C46)},
MRNUMBER = {3846924},
MRREVIEWER = {Uno H\"{a}marik},
DOI = {10.1007/s10898-017-0590-1},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-017-0590-1},
}
###YEAR 2015##########################
@article{SalahiTaatiWolk:15,
author = "M. Salahi and A. Taati and H. Wolkowicz",
TITLE = {Local nonglobal minima for solving large-scale extended
trust-region subproblems},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {66},
YEAR = {2017},
NUMBER = {2},
note = "submitted Dec. 23, 2015, 25 pages,
accepted to COAP Aug. 20, 2016, 25 pages,
online Sept. 2016, doi:10.1007/s10589-016-9867-4",
PAGES = {223--244},
ISSN = {0926-6003},
MRCLASS = {90C26 (65K05 90C30 90C46)},
MRNUMBER = {3604052},
DOI = {10.1007/s10589-016-9867-4},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-016-9867-4},
}
@article {OliveiraWolkXu:15,
author = "D.E. Oliveira and H. Wolkowicz and Y. Xu",
TITLE = {A{DMM} for the {SDP} relaxation of the {QAP}},
JOURNAL = {Math. Program. Comput.},
FJOURNAL = {Mathematical Programming Computation},
VOLUME = {10},
YEAR = {2018},
NUMBER = {4},
PAGES = {631--658},
ISSN = {1867-2949},
MRCLASS = {90C22 (90B80 90C06 90C46)},
MRNUMBER = {3863706},
MRREVIEWER = {Petrica C. Pop},
DOI = {10.1007/s12532-018-0148-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s12532-018-0148-3},
}
@techreport{TangWolk:17,
author = "Z. Tang and H. Wolkowicz",
title = "{ADMM} for the second lifting {SDP} relaxation of {MC}",
institution="University of Waterloo",
note = "in progress",
address = "Waterloo, Ontario",
year="2017",
}
@inproceedings{BoBurkWolk:16,
author = "X-B Li and F. Burkowski and H. Wolkowicz",
title = "Semidefinite Facial Reduction and Rigid Cluster Interpolation
in Protein Structure Elastic Network Models",
institution="University of Waterloo",
note = "submitted for refereed conference, Dec. 1, 2016, 10 pages,
unpublished",
address = "Waterloo, Ontario",
Series = "IEEE BIBM 2016",
year="2016",
}
@inproceedings{BoBurkWolktwo:16,
author = "X-B Li and F. Burkowski and H. Wolkowicz",
title = "Semidefinite facial reduction and rigid cluster elastic
network interpolation of protein structures",
institution="University of Waterloo",
address = "Waterloo, Ontario",
Series = "IEEE International Conference on Bioinformatics and
Biomedicine (BIBM), IEEE Xplore, January 19, 2017",
year="2017",
DOI = {0.1109/BIBM.2016.7822506},
}
@techreport{BoBurkWolk:15,
author = "X-B Li and F. Burkowski and H. Wolkowicz",
title = "Protein Structure Normal Mode Analysis on the Positive
Semidefinite Matrix Manifold",
institution="University of Waterloo",
note = "submitted Nov. 1, 2015, 10 pages",
address = "Waterloo, Ontario",
year="2015",
}
###2014##########################
@techreport{ChWosensit:14,
author = "Y.-L. Cheung and H. Wolkowicz",
title = "Sensitivity analysis of semidefinite programs without strong
duality",
institution="University of Waterloo",
note = "submitted June 2014, 37 pages",
address = "Waterloo, Ontario",
year="2014",
}
@techreport{RWWW:14,
title = "Facial Reduction and {SDP} Methods for Systems of
Polynomial Equations",
author = "
G. Reid and F. Wang and H. Wolkowicz and W. Wu",
institution="University of Western Ontario",
note = "submitted Dec. 2014, 38 pages",
address = "London, Ontario",
year="2014",
}
@article{RWW:17,
AUTHOR = {Wang, F. and Reid, G. and Wolkowicz, H.},
TITLE = {Finding maximum rank moment matrices by facial reduction on
primal form and {D}ouglas-{R}achford iteration},
JOURNAL = {ACM Commun. Comput. Algebra},
FJOURNAL = {ACM Communications in Computer Algebra},
VOLUME = {51},
YEAR = {2017},
NUMBER = {1},
PAGES = {35--37},
ISSN = {1932-2232},
MRCLASS = {90C33 (65F99 90C22)},
MRNUMBER = {3663238},
DOI = {10.1145/3096730.3096740},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1145/3096730.3096740},
}
@article{ChDrLiPeWomatrixrepr:14,
author = "D. Drusvyatskiy and
C.-K. Li and Y.-L. Cheung Voronin and D.C. Pelejo and H. Wolkowicz",
TITLE = {Projection methods for quantum channel construction},
JOURNAL = {Quantum Inf. Process.},
FJOURNAL = {Quantum Information Processing},
VOLUME = {14},
YEAR = {2015},
NUMBER = {8},
PAGES = {3075--3096},
ISSN = {1570-0755},
MRCLASS = {81P45},
MRNUMBER = {3370697},
DOI = {10.1007/s11128-015-1024-y},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11128-015-1024-y},
}
@article{ChDrLiPeWo:14,
author = "Y.-L. Cheung and D. Drusvyatskiy and
C.-K. Li and D.C. Pelejo and H. Wolkowicz",
title = "Projection methods in quantum information science",
institution="University of Waterloo",
note = "submitted July. 2014, 15 pages, under revision Oct. 2014",
address = "Waterloo, Ontario",
journal = "Quantum Information Processing",
pages = "3075-3095",
volume = "14",
number = "8",
year="2015",
}
@article{DrusLiWolk:14,
author = "D. Drusvyatskiy and G. Li and H. Wolkowicz",
TITLE = {A note on alternating projections for ill-posed semidefinite
feasibility problems},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {162},
YEAR = {2017},
NUMBER = {1-2, Ser. A},
PAGES = {537--548},
ISSN = {0025-5610},
MRCLASS = {90C22 (47J25 65J15)},
MRNUMBER = {3612949},
MRREVIEWER = {Sorin-Mihai Grad},
DOI = {10.1007/s10107-016-1048-9},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-016-1048-9},
}
@article{DrVaWo:14,
author = "D. Drusvyatskiy and S.A. Vavasis and H. Wolkowicz",
TITLE = {Extreme point inequalities and geometry of the rank sparsity
ball},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Optimization Society},
VOLUME = {152},
YEAR = {2015},
NUMBER = {1-2, Ser. A},
PAGES = {521--544},
ISSN = {0025-5610},
MRCLASS = {90C25 (47N10 68P30)},
MRNUMBER = {3369491},
DOI = {10.1007/s10107-014-0795-8},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-014-0795-8},
}
@article{DrPaWo:14,
author = "D. Drusvyatskiy and G. Pataki and H. Wolkowicz",
TITLE = {Coordinate shadows of semidefinite and {E}uclidean distance
matrices},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {25},
YEAR = {2015},
NUMBER = {2},
PAGES = {1160--1178},
ISSN = {1052-6234},
MRCLASS = {90C22 (52A99)},
MRNUMBER = {3357643},
MRREVIEWER = {Ning Ruan},
DOI = {10.1137/140968318},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/140968318},
}
@article{HaoWangPongWolk:14,
author = "T.K. Pong and H. Sun and N. Wang and H. Wolkowicz",
TITLE = {Eigenvalue, quadratic programming, and semidefinite
programming relaxations for a cut minimization problem},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {63},
YEAR = {2016},
NUMBER = {2},
PAGES = {333--364},
ISSN = {0926-6003},
MRCLASS = {05C35 (05C70 90C22 90C27 90C59)},
MRNUMBER = {3457444},
MRREVIEWER = {Sandra L. Arlinghaus},
DOI = {10.1007/s10589-015-9779-8},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-015-9779-8},
}
@article{ChDrWo:14,
author = "D. Drusvyatskiy and N. Krislock and
Y-L. Cheung Voronin and H. Wolkowicz",
TITLE = {Noisy {E}uclidean distance realization: robust facial
reduction and the {P}areto frontier},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {27},
YEAR = {2017},
NUMBER = {4},
PAGES = {2301--2331},
ISSN = {1052-6234},
MRCLASS = {90C22 (52B12 90C25)},
MRNUMBER = {3717821},
DOI = {10.1137/15M103710X},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/15M103710X},
}
############ YEAR 2013
@article{PongWolk:12,
author = "T.K. Pong and H. Wolkowicz",
TITLE = {The generalized trust region subproblem},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {58},
YEAR = {2014},
NUMBER = {2},
PAGES = {273--322},
ISSN = {0926-6003},
MRCLASS = {90C20 (90C26 90C55)},
MRNUMBER = {3201963},
DOI = {10.1007/s10589-013-9635-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-013-9635-7},
}
@techreport{LinWolkowicz:13,
author = "Lin, M-H. and Wolkowicz, H.",
title = "A general Hua-type matrix equality and its applications",
institution="University of Waterloo",
note = "7 pages, submitted Jan. 2013",
year="2013"
}
@article{LinWolkowiczHiro:13,
author = "Lin, M-H. and Wolkowicz, H.",
TITLE = {Hiroshima's theorem and matrix norm inequalities},
JOURNAL = {Acta Sci. Math. (Szeged)},
FJOURNAL = {Acta Universitatis Szegediensis. Acta Scientiarum
Mathematicarum},
VOLUME = {81},
YEAR = {2015},
NUMBER = {1-2},
PAGES = {45--53},
ISSN = {0001-6969},
MRCLASS = {15A60 (47A30)},
MRNUMBER = {3381873},
MRREVIEWER = {Natalia Bebiano},
DOI = {10.14232/actasm-013-821-3},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.14232/actasm-013-821-3},
}
############ YEAR 2012
@techreport{Babakmanifold:12,
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz",
title = "Large-Scale Manifold Learning by Semidefinite Facial Reduction",
institution="University of Waterloo",
URL = "http://hal.archives-ouvertes.fr/hal-00684488",
note = "19pages",
address = "Waterloo, Ontario",
year="2012"
}
@incollection {Babakprotein:12,
author = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and
Wolkowicz, H. and Donaldson, L. and Li, M.},
affiliation = {David R. Cheriton School of Computer Science,
University of Waterloo, Waterloo, Ontario, Canada},
title = {Protein Structure by Semidefinite Facial Reduction},
booktitle = {Research in Computational Molecular Biology},
series = {Lecture Notes in Computer Science},
editor = {Chor, Benny},
publisher = {Springer Berlin / Heidelberg},
isbn = {978-3-642-29626-0},
keyword = {Computer Science},
pages = {1-11},
volume = {7262},
year = {2012}
}
@article {Alipanahi:2012,
AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and
Wolkowicz, H. and Donaldson, L. and Li, M.},
TITLE = {Determining protein structures from {NOESY} distance
constraints by semidefinite programming},
JOURNAL = {J. Comput. Biol.},
FJOURNAL = {Journal of Computational Biology},
VOLUME = {20},
YEAR = {2013},
NUMBER = {4},
PAGES = {296--310},
ISSN = {1066-5277},
MRCLASS = {92D20 (90C22)},
MRNUMBER = {3042029},
DOI = {10.1089/cmb.2012.0089},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089},
}
@conference{Babaketal:12,
title="Protein Structure by Semidefinite Facial Reduction",
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz and L. Donaldson and M. Li",
institution="University of Waterloo",
note="poster session at RECOMB2012",
booktitle="URL: recomb2012.crg.cat",
address = "Waterloo, Ontario",
URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2012"
}
############ YEAR 2011
@article{MingW:11,
author = "Lin, M-H. and Wolkowicz, H.",
TITLE = {An eigenvalue majorization inequality for positive
semidefinite block matrices},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {60},
YEAR = {2012},
NUMBER = {11-12},
PAGES = {1365--1368},
ISSN = {0308-1087},
MRCLASS = {15A42},
MRNUMBER = {2989768},
MRREVIEWER = {Xiao-Dong Zhang},
DOI = {10.1080/03081087.2011.651723},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/03081087.2011.651723},
}
@book {MR3155260,
TITLE = {Computational and analytical mathematics},
SERIES = {Springer Proceedings in Mathematics \& Statistics},
VOLUME = {50},
EDITOR = {Bailey, David H. and Bauschke, Heinz H. and Borwein, Peter and
Garvan, Frank and Th\'{e}ra, Michel and Vanderwerff, Jon D. and
Wolkowicz, Henry},
NOTE = {In honor of Jonathan Borwein's 60th birthday,
Papers from the workshop (JonFest) held at Simon Fraser
University, Burnaby, BC, May 16--20, 2011},
PUBLISHER = {Springer, New York},
YEAR = {2013},
PAGES = {xiii+701},
ISBN = {978-1-4614-7621-4; 978-1-4614-7620-7},
MRCLASS = {49-06 (90-06)},
MRNUMBER = {3155260},
DOI = {10.1007/978-1-4614-7621-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-7621-4},
}
@incollection {ScTuWonumeric:07,
AUTHOR = {Cheung, Yuen-Lam and Schurr, Simon and Wolkowicz, Henry},
TITLE = {Preprocessing and regularization for degenerate semidefinite
programs},
BOOKTITLE = {Computational and analytical mathematics},
SERIES = {Springer Proc. Math. Stat.},
VOLUME = {50},
PAGES = {251--303},
PUBLISHER = {Springer, New York},
YEAR = {2013},
MRCLASS = {90C22 (90C46)},
MRNUMBER = {3108430},
MRREVIEWER = {Sorin-Mihai Grad},
DOI = {10.1007/978-1-4614-7621-4\_12},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-7621-4_12},
}
@article {MR3070089,
AUTHOR = {Bauschke, Heinz H. and Th\'{e}ra, Michel and Wolkowicz, Henry},
TITLE = {Preface [{S}pecial issue: {C}omputational and analytical
mathematics]},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {139},
YEAR = {2013},
NUMBER = {1-2, Ser. B},
PAGES = {1--3},
ISSN = {0025-5610},
MRCLASS = {90-06 (49-06)},
MRNUMBER = {3070089},
DOI = {10.1007/s10107-013-0656-x},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-013-0656-x},
}
@conference{Babaketal:11,
title="{SPROS}: An {SDP}-Based Protein Structure
Determination from {NMR} Data",
author = "B. Alipanahi and N. Krislock and A. Ghodsi and
H. Wolkowicz and L. Donaldson and M. Li",
institution="University of Waterloo",
note="poster session at RECOMB2011",
booktitle="URL: compbio.cs.sfu.ca/recomb2011",
address = "Waterloo, Ontario",
URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2011"
}
@article {MR3042029,
AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and
Wolkowicz, H. and Donaldson, L. and Li, M.},
TITLE = {Determining protein structures from {NOESY} distance
constraints by semidefinite programming},
JOURNAL = {J. Comput. Biol.},
FJOURNAL = {Journal of Computational Biology},
VOLUME = {20},
YEAR = {2013},
NUMBER = {4},
PAGES = {296--310},
ISSN = {1066-5277},
MRCLASS = {92D20 (90C22)},
MRNUMBER = {3042029},
DOI = {10.1089/cmb.2012.0089},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089},
}
@techreport{DoanW:11,
author = "Doan, X.V. and Wolkowicz, H.",
title = "Numerical Computations and the $\omega$-Condition Number",
institution="University of Waterloo",
number="CORR 2011-03",
note = "submitted in July, 2011, 19 pages",
address="Waterloo, Ontario",
year="2011"
}
@article{ForbesVrisWolk:11,
author = "Burkowski, F. and Cheung, Y-L. and Wolkowicz, H.",
TITLE = {Efficient use of semidefinite programming for selection of
rotamers in protein conformations},
JOURNAL = {INFORMS J. Comput.},
FJOURNAL = {INFORMS Journal on Computing},
VOLUME = {26},
YEAR = {2014},
NUMBER = {4},
PAGES = {748--766},
ISSN = {1091-9856},
MRCLASS = {92D20 (90C22 90C90)},
MRNUMBER = {3265805},
DOI = {10.1287/ijoc.2014.0596},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/ijoc.2014.0596},
}
############ YEAR 2010
@article{KrukDoanW:10,
author = "Doan, X.V. and Kruk, S. and Wolkowicz, H.",
TITLE = {A robust algorithm for semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {27},
YEAR = {2012},
NUMBER = {4-5},
PAGES = {667--693},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2946052},
MRREVIEWER = {Bogdan Dumitrescu},
DOI = {10.1080/10556788.2011.610456},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/10556788.2011.610456},
}
@article{DingGeWolk:10,
author = "Ding, Y. and Ge, D. and Wolkowicz, H.",
TITLE = {On equivalence of semidefinite relaxations for quadratic
matrix programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {36},
YEAR = {2011},
NUMBER = {1},
PAGES = {88--104},
ISSN = {0364-765X},
MRCLASS = {90C20 (90C22)},
MRNUMBER = {2799394},
MRREVIEWER = {Amir Beck},
DOI = {10.1287/moor.1100.0473},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.1100.0473},
}
############ YEAR 2009
@article{kriswolk:09,
author = {N. Krislock and H. Wolkowicz},
TITLE = {Explicit sensor network localization using semidefinite
representations and facial reductions},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {20},
YEAR = {2010},
NUMBER = {5},
PAGES = {2679--2708},
ISSN = {1052-6234},
MRCLASS = {90C35 (90B10 90C22)},
MRNUMBER = {2678410},
MRREVIEWER = {Michael Patriksson},
DOI = {10.1137/090759392},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/090759392},
}
@article{AlfakihAnjosKPW:08,
author="A.Y. Alfakih and M.F. Anjos and V. Piccialli and H. Wolkowicz",
TITLE = {Euclidean distance matrices, semidefinite programming and
sensor network localization},
JOURNAL = {Port. Math.},
FJOURNAL = {Portugaliae Mathematica. A Journal of the Portuguese
Mathematical Society},
VOLUME = {68},
YEAR = {2011},
NUMBER = {1},
PAGES = {53--102},
ISSN = {0032-5155},
MRCLASS = {51K05 (15A83 90B80 90C22)},
MRNUMBER = {2815953},
DOI = {10.4171/PM/1881},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.4171/PM/1881},
}
############ YEAR 2008
@article{ScTuWominimal:07,
author = "Tun{\c{c}}el, L. and Wolkowicz, H.",
TITLE = {Strong duality and minimal representations for cone
optimization},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {53},
YEAR = {2012},
NUMBER = {2},
PAGES = {619--648},
ISSN = {0926-6003},
MRCLASS = {90C46 (90C22)},
MRNUMBER = {2988175},
MRREVIEWER = {Sorin-Mihai Grad},
DOI = {10.1007/s10589-012-9480-0},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-012-9480-0},
}
@article {DiKrQiWo:08,
author = "Ding, Y. and
Krislock, N. and Qian, J. and Wolkowicz, H.",
TITLE = {Sensor network localization, {E}uclidean distance matrix
completions, and graph realization},
JOURNAL = {Optim. Eng.},
booktitle = {Optimization and Engineering. International Multidisciplinary
Journal to Promote Optimization Theory \& Applications in
Engineering Sciences},
VOLUME = {11},
YEAR = {2010},
NUMBER = {1},
PAGES = {45--66},
ISSN = {1389-4420},
MRCLASS = {90B10 (90B80 90C22)},
MRNUMBER = {2601732 (2011b:90012)},
MRREVIEWER = {Ning Ruan},
DOI = {10.1007/s11081-008-9072-0},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11081-008-9072-0},
}
@inproceedings{DiKrQiWo:06,
author = "Ding, Y. and
Krislock, N. and Qian, J. and Wolkowicz, H.",
TITLE = {Sensor network localization, {E}uclidean distance matrix
completions, and graph realization},
journal = {ACM},
booktitle = {{MELT'08}: Proceedings of the First {ACM}
International Workshop on Mobile Entity Localization and Tracking in
{GPS}-less Environments},
YEAR = {2008},
PAGES = {129--134},
}
############ YEAR 2007
############ YEAR 2006
@inproceedings{AnDeHaGrWeWolk:06,
author= "M.F. Anjos and M. Desroches and A. Haque and O.
Grodzevich and H. Wei and H. Wolkowicz",
TITLE = {Multi-Stage Investment Decision under Contingent Demand
for Networking Planning},
BOOKTITLE = {Proceedings of the 2006 IEEE GLOBECOM Conference in San
Francisco},
PAGES = {1--5 },
PUBLISHER = {},
ADDRESS = { },
URL = {http://www.ieee-globecom.org/2006/},
YEAR = {2007},
}
@article{PoTuWo:06,
author = "Potaptchik, M. and Tun{\c{c}}el, L. and H. Wolkowicz",
TITLE = {Large scale portfolio optimization with piecewise linear
transaction costs},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {23},
YEAR = {2008},
NUMBER = {6},
PAGES = {929--952},
ISSN = {1055-6788},
MRCLASS = {91B28 (65K10 90C20 90C31 90C51)},
MRNUMBER = {2464694},
MRREVIEWER = {Alexander Engau},
DOI = {10.1080/00207160802263858},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/00207160802263858},
}
@article{DingWolk:06,
author = "Ding, Y. and H. Wolkowicz",
TITLE = {A low-dimensional semidefinite relaxation for the quadratic
assignment problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {34},
YEAR = {2009},
NUMBER = {4},
PAGES = {1008--1022},
ISSN = {0364-765X},
MRCLASS = {90C26 (65K05 65K10 90B80 90C22)},
MRNUMBER = {2573507},
MRREVIEWER = {Wei Hong Yang},
DOI = {10.1287/moor.1090.0419},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.1090.0419},
}
############ YEAR 2005
@article{AlfakihWolk:05,
author="A.Y. Alfakih and H. Wolkowicz",
TITLE = {Some necessary and some sufficient trace inequalities for
{E}uclidean distance matrices},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {55},
YEAR = {2007},
NUMBER = {5},
PAGES = {499--506},
ISSN = {0308-1087},
MRCLASS = {15A45 (15A57)},
MRNUMBER = {2363550},
MRREVIEWER = {K. Veseli\'{c}},
DOI = {10.1080/03081080701241570},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/03081080701241570},
}
@article{GroWo:05,
author="O. Grodzevich and H. Wolkowicz",
TITLE = {Regularization using a parameterized trust region subproblem},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {116},
YEAR = {2009},
NUMBER = {1-2, Ser. B},
PAGES = {193--220},
ISSN = {0025-5610},
MRCLASS = {65J20 (90C90 94A08)},
MRNUMBER = {2421279},
MRREVIEWER = {Akhtar A. Khan},
DOI = {10.1007/s10107-007-0126-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-007-0126-4},
}
############ YEAR 2004
@article {GoWo:04,
author="M. Gonzalez-Lima and H. Wei and H. Wolkowicz",
TITLE = {A stable primal-dual approach for linear programming under
nondegeneracy assumptions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {44},
YEAR = {2009},
NUMBER = {2},
PAGES = {213--247},
ISSN = {0926-6003},
MRCLASS = {90C05 (90C51)},
MRNUMBER = {2556851 (2010i:90056)},
MRREVIEWER = {K. Zimmermann},
DOI = {10.1007/s10589-007-9157-2},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-007-9157-2},
}
@article{homwolkA:04,
author = "Al-Homidan, S. and H. Wolkowicz",
TITLE = {Approximate and exact completion problems for {E}uclidean
distance matrices using semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {406},
YEAR = {2005},
PAGES = {109--141},
ISSN = {0024-3795},
MRCLASS = {90C22},
MRNUMBER = {2156431},
MRREVIEWER = {Anhua Lin},
DOI = {10.1016/j.laa.2005.03.021},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2005.03.021},
}
@article{WeiWolk:06,
author = "H. Wei and H. Wolkowicz",
TITLE = {Generating and measuring instances of hard semidefinite
programs},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {125},
YEAR = {2010},
NUMBER = {1, Ser. A},
PAGES = {31--45},
ISSN = {0025-5610},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2718693 (2011h:90105)},
MRREVIEWER = {Didier Henrion},
DOI = {10.1007/s10107-008-0256-3},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-008-0256-3},
}
############ YEAR 2003
@article{ScTuWolk:03,
author = "L. Tun{\c{c}}el and H. Wolkowicz",
TITLE = {Strengthened existence and uniqueness conditions for search
directions in semidefinite programming},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {400},
YEAR = {2005},
PAGES = {31--60},
ISSN = {0024-3795},
MRCLASS = {90C22 (15A39)},
MRNUMBER = {2131915},
MRREVIEWER = {Etienne de Klerk},
DOI = {10.1016/j.laa.2004.12.010},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2004.12.010},
}
############ YEAR 2002
############ YEAR 2001
@article{Wolk:01,
author="H. Wolkowicz",
TITLE = {Solving semidefinite programs using preconditioned conjugate
gradients},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {19},
YEAR = {2004},
NUMBER = {6},
PAGES = {653--672},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C52)},
MRNUMBER = {2102220},
MRREVIEWER = {E. Alper Y\i ld\i r\i m},
DOI = {10.1080/1055678042000193162},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/1055678042000193162},
}
@article{AnjosWolk:01,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Geometry of semidefinite max-cut relaxations via matrix
ranks},
NOTE = {New approaches for hard discrete optimization (Waterloo,
ON, 2001)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {6},
YEAR = {2002},
NUMBER = {3},
PAGES = {237--270},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {MR1920210 (2003h:90057)},
MRREVIEWER = {Jos F. Sturm},
}
@article{FortinWolk:03,
author = "C. Fortin and H. Wolkowicz",
TITLE = {The trust region subproblem and semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {19},
YEAR = {2004},
NUMBER = {1},
PAGES = {41--67},
ISSN = {1055-6788},
MRCLASS = {90C22 (90-06)},
MRNUMBER = {2062235},
MRREVIEWER = {Ya Xiang Yuan},
DOI = {10.1080/10556780410001647186},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556780410001647186},
}
@article{AlWo:01,
author = "A.Y. Alfakih and H. Wolkowicz",
TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale
transform},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {340},
YEAR = {2002},
PAGES = {149--154},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48 52B35)},
MRNUMBER = {MR1869424 (2002i:51010)},
}
############ YEAR 2000
@incollection {AnjosWolkb:00,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Semidefinite programming for discrete optimization and matrix
completion problems},
NOTE = {Workshop on Discrete Optimization, DO'99 (Piscataway, NJ)},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {123},
YEAR = {2002},
NUMBER = {1-3},
PAGES = {513--577},
ISSN = {0166-218X},
MRCLASS = {90C22 (90C27)},
MRNUMBER = {1922345},
MRREVIEWER = {Ji-Ming Peng},
DOI = {10.1016/S0166-218X(01)00352-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0166-218X(01)00352-3},
}
@article{KrWo:00,
author = " S. Kruk and H. Wolkowicz",
TITLE = {Convergence of a short-step primal-dual algorithm based on the
{G}auss-{N}ewton direction},
JOURNAL = {J. Appl. Math.},
FJOURNAL = {Journal of Applied Mathematics},
YEAR = {2003},
NUMBER = {10},
PAGES = {517--534},
ISSN = {1110-757X},
MRCLASS = {90C53 (65K05)},
MRNUMBER = {2013788},
MRREVIEWER = {Heinz H. Bauschke},
DOI = {10.1155/S1110757X03301081},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1155/S1110757X03301081},
}
@article{AnWo:00,
author="M.F. Anjos and H. Wolkowicz",
TITLE = {Strengthened semidefinite relaxations via a second lifting for
the {M}ax-{C}ut problem},
NOTE = {Foundations of heuristics in combinatorial optimization},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {119},
YEAR = {2002},
NUMBER = {1-2},
PAGES = {79--106},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C27 (68Q99 68R10 90C22)},
MRNUMBER = {MR1892412 (2003c:90084)},
MRREVIEWER = {Konrad Engel},
}
############ YEAR 1999
@incollection {wolkgap:99,
author = "H. Wolkowicz",
TITLE = {A note on lack of strong duality for quadratic problems with
orthogonal constraints},
NOTE = {Interior point methods (Budapest, 2000)},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {143},
YEAR = {2002},
NUMBER = {2},
PAGES = {356--364},
ISSN = {0377-2217},
MRCLASS = {90C20 (90C46)},
MRNUMBER = {1940977},
MRREVIEWER = {Franz Rendl},
DOI = {10.1016/S0377-2217(02)00295-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0377-2217(02)00295-3},
}
@article{NaWoZh:97,
author = "J.L. Nazareth and H. Wolkowicz and M. Zhu",
TITLE = {The quasi-{C}auchy relation and diagonal updating},
NOTE = {Dedicated to John E. Dennis, Jr., on his 60th birthday},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {9},
YEAR = {1999},
NUMBER = {4},
PAGES = {1192--1204 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90Cxx (65Fxx)},
MRNUMBER = {1 724 783},
}
@incollection {MR1846167,
AUTHOR = {Anjos, M. F. and Wolkowicz, H.},
TITLE = {Strengthened semidefinite programming relaxations for the
max-cut problem},
BOOKTITLE = {Advances in convex analysis and global optimization
(Pythagorion, 2000)},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {54},
PAGES = {409--420},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2001},
MRCLASS = {90C22 (90C27 90C57)},
MRNUMBER = {MR1846167},
}
############ YEAR 1998
@article{AnChWoYu:98,
author="K.M. Anstreicher and X. Chen and H. Wolkowicz and Y. Yuan",
TITLE = {Strong duality for a trust-region type relaxation of the
quadratic assignment problem},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {301},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {121--136},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90Cxx},
MRNUMBER = {1 728 045}
}
@article{AnWo:98,
author="K.M. Anstreicher and H. Wolkowicz",
title = "On {L}agrangian relaxation of
quadratic matrix constraints",
journal = simax,
volume = "22",
number = "1",
institution="University of Waterloo",
address="Waterloo, Ontario",
year="2000",
pages = "41-55",
}
@article{KrMuReVaWo:98,
author = " S. Kruk and M. Muramatsu and
F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {The {G}auss-{N}ewton direction in semidefinite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {15},
YEAR = {2001},
NUMBER = {1},
PAGES = {1--28},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1891034 (2003b:90063)},
MRREVIEWER = {Marina Alex Epelman},
}
@article{KrWo:98,
AUTHOR = {Kruk, S. and Wolkowicz, H.},
TITLE = {Pseudolinear programming},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review},
VOLUME = {41},
YEAR = {1999},
NUMBER = {4},
PAGES = {795--805 (electronic)},
ISSN = {1095-7200},
MRCLASS = {90C08 (90C30)},
MRNUMBER = {2000f:90030},
}
############ YEAR 1997
@article{Wolk:image98,
author="Wolkowicz, H.",
title="Semidefiniteness of a sum: Problem Solution 19-5.5",
journal="IMAGE, The Bulletin of ILAS",
volume="20",
year="1998",
pages="30-31"
}
@article{AlKaWo:97,
author = "A.Y. Alfakih and A. Khandani and H. Wolkowicz",
TITLE = {Solving {E}uclidean distance matrix completion problems
via
semidefinite programming},
NOTE = {A tribute to Olvi Mangasarian},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {12},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {13--30},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C22 (90C25)},
MRNUMBER = {2000e:90042},
MRREVR = {Christian Michelot},
}
@inproceedings{KrWo:97,
author="S. Kruk and H. Wolkowicz",
TITLE = {{S}{Q}$^2${P}, sequential quadratic
constrained quadratic programming},
BOOKTITLE = {Advances in {N}onlinear {P}rogramming (Beijing, 1996)},
PAGES = {177--204},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {1998},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {99f:90128},
}
############ YEAR 1996
@article{WoZh:96,
author="H. Wolkowicz and Q. Zhao",
TITLE = {Semidefinite programming relaxations for the graph
partitioning
problem},
NOTE = {Selected for the special Editors' Choice, Edition 1999},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
Optimization and Computer Science},
VOLUME = {96/97},
YEAR = {1999},
PAGES = {461--479},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C35 (15A48 90C22)},
MRNUMBER = {1 724 735},
MRREVR = {Franz Rendl},
}
}
@article {KaReWoZh:94,
AUTHOR = {Zhao, Q. and Karisch, S.E. and Rendl, F. and
Wolkowicz, H.},
TITLE = {Semidefinite programming relaxations for the quadratic
assignment problem},
NOTE = {{S}emidefinite {P}rogramming and {I}nterior-point {A}pproaches for
{C}ombinatorial {O}ptimization {P}roblems (Fields Institute,
Toronto, ON, 1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {71--109},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C26)},
MRNUMBER = {1616871},
MRREVIEWER = {Yin Zhang},
DOI = {10.1023/A:1009795911987},
URL = {https://doi.org/10.1023/A:1009795911987},
}
############ YEAR 1995
@article{JoKrWo:95,
author = "C.R. Johnson and B. Kroschel and H. Wolkowicz",
TITLE = {An interior-point method for approximate positive
semidefinite
completions},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {9},
YEAR = {1998},
NUMBER = {2},
PAGES = {175--190},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C25 (90C20)},
MRNUMBER = {99a:90154},
MRREVR = {Michael L. Dowling},
}
@article{RaTuWo:95,
author = "M.V. Ramana and L. Tun{\c{c}}el and H. Wolkowicz",
TITLE = {Strong duality for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3},
PAGES = {641--662},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (49M35 49N15)},
MRNUMBER = {98m:90147},
MRREVR = {J.M. Borwein},
}
@incollection{HePoReWo:95,
author="C. Helmberg and S. Poljak
and F. Rendl and H. Wolkowicz",
TITLE = {Combining semidefinite and polyhedral relaxations for
integer
programs},
BOOKTITLE = {Integer {P}rogramming and {C}ombinatorial {O}ptimization
(Copenhagen,
1995)},
PAGES = {124--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {1 367 976},
}
############ YEAR 1994
@article{ReWo:94,
author = "F. Rendl and H. Wolkowicz",
TITLE = {A semidefinite framework for trust region subproblems with
applications to large scale minimization},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2, Ser. B},
PAGES = {273--299},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C20 (90C33)},
MRNUMBER = {98i:90063},
MRREVR = {M. Teboulle},
}
@article {PoReWo:94,
author = "S. Poljak and F. Rendl and H. Wolkowicz",
TITLE = {A recipe for semidefinite relaxation for
$(0,1)$-quadratic
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science, Management
and
Engineering},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {51--73},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C09 (90C27)},
MRNUMBER = {96d:90053},
MRREVR = {Paulo Barcia},
}
@article {HeReVaWo:93,
author = "C. Helmberg and F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {An interior-point method for semidefinite
programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {97f:90086},
MRREVR = {Tam{\'a}s Terlaky},
}
@incollection{prw:93,
author="P. Pardalos and F. Rendl and H. Wolkowicz",
TITLE = {The quadratic assignment problem: a survey and recent
developments},
editor = "P.M. Pardalos and H. Wolkowicz",
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ,
1993)},
PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90B80 (90C10 90C27)},
MRNUMBER = {95f:90040},
MRREVR = {Horst W. Hamacher},
}
############ YEAR 1993
@ARTICLE {FaReWo:92,
author = "J. Falkner and F. Rendl and H. Wolkowicz",
TITLE = {A computational study of graph partitioning},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {211--239},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
MRNUMBER = {95h:90153},
MRREVR = {Yixun Lin},
}
@article{sw5,
author="R. Stern and H. Wolkowicz",
TITLE = {Trust region problems and nonsymmetric eigenvalue
perturbations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {15},
YEAR = {1994},
NUMBER = {3},
PAGES = {755--778},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A18 (15A42 49R05)},
MRNUMBER = {95f:15009},
MRREVR = {Gerd M. Krause},
}
@article{StWo:93,
author="R. Stern and H. Wolkowicz",
TITLE = {Indefinite trust region subproblems and nonsymmetric
eigenvalue
perturbations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {2},
PAGES = {286--313},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C20 (65F15 65K05)},
MRNUMBER = {96h:90077},
MRREVR = {Panos M. Pardalos},
}
@incollection{KaReWo:93,
author="S.E. Karisch and F. Rendl and H. Wolkowicz",
editors="P. Pardalos and H. Wolkowicz",
TITLE = {Trust regions and relaxations for the quadratic
assignment problem},
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ, 1993)},
PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {95j:90053},
MRREVR = {Igor Litvinchev},
}
@article{ReWo:90,
author = "F. Rendl and H. Wolkowicz",
TITLE = {A projection technique for partitioning the nodes of a
graph},
NOTE = {Applied mathematical programming and modeling, II (APMOD
93)
(Budapest, 1993)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {58},
YEAR = {1995},
PAGES = {155--179},
ISSN = {0254-5330},
MRCLASS = {90C35 (05C99)},
MRNUMBER = {96g:90096},
MRREVR = {Xue Liang Li},
}
@article {PoWo:93,
author = "S. Poljak and H. Wolkowicz",
TITLE = {Convex relaxations of $(0,1)$-quadratic
programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {20},
YEAR = {1995},
NUMBER = {3},
PAGES = {550--561},
ISSN = {0364-765X},
MRCLASS = {90C09 (90C20)},
MRNUMBER = {97b:90078},
}
@article{w13,
author="H. Wolkowicz",
TITLE = {Measures for symmetric rank-one updates},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {19},
YEAR = {1994},
NUMBER = {4},
PAGES = {815--830},
ISSN = {0364-765X},
MRCLASS = {90C30 (65F05 65K05)},
MRNUMBER = {95h:90143},
}
@article{WoZh:93,
author="H. Wolkowicz and Q. Zhao",
TITLE = {An all-inclusive efficient region of updates for least
change
secant methods},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {1},
PAGES = {172--191},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {95k:90096},
MRREVR = {Bernd Luderer},
}
@article{Wolk:93,
author="H. Wolkowicz",
TITLE = {Explicit solutions for interval semidefinite linear
programs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {236},
YEAR = {1996},
PAGES = {95--104},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C26 (65G10 90C08)},
MRNUMBER = {96m:90058},
MRREVR = {Florian Jarre},
}
@article {ReVaWo:93b,
author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
title = "Max-min eigenvalue problems, primal-dual
interior point algorithms, and trust region subproblems",
institution = "Department of Combinatorics and Optimization",
year = "1995",
pages = "1-16",
volume = "5",
journal = oms,
address = "Waterloo, Ont"}
@article{DeWo:90,
author="J.E. {Dennis Jr.} and H. Wolkowicz",
TITLE = {Sizing and least-change secant methods},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {30},
YEAR = {1993},
NUMBER = {5},
PAGES = {1291--1314},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {90C30 (49M37 65K05)},
MRNUMBER = {94g:90107},
}
############ YEAR 1992
@article{HaReWo:89,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
TITLE = {A new lower bound via projection for the quadratic
assignment
problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {17},
YEAR = {1992},
NUMBER = {3},
PAGES = {727--739},
ISSN = {0364-765X},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {93i:90080},
MRREVR = {M. C. Puri},
}
@article{hrw2,
author="S.W. Hadley and F. Rendl and H. Wolkowicz",
TITLE = {Symmetrization of nonsymmetric quadratic assignment
problems
and the {H}offman-{W}ielandt inequality},
NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {167},
YEAR = {1992},
PAGES = {53--64},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (15A42 90B80)},
MRNUMBER = {93d:90050},
MRREVR = {Rainer Burkard},
}
@article{jw2,
author="Jeyakumar, V. and Wolkowicz, H.",
TITLE = {Generalizations of {S}later's constraint qualification for
infinite convex programs},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {1, Ser. B},
PAGES = {85--101},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48 (49N15 90C25)},
MRNUMBER = {93e:90070},
MRREVR = {Doug Ward},
}
@inproceedings{biw,
author="Ben-Israel, A. and Wolkowicz, H.",
title="A recursive volume reducing algorithm for semi-infinite
linear programming",
year="1992",
booktitle="Systems and Management Science by Extremal Methods",
publisher="Kluwer Academic Publishers",
ADDRESS = {Boston, MA},
note="invited paper"
}
############ YEAR 1991
############ YEAR 1990
@inproceedings{hrw4,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
title="Bounds for the quadratic assignment problems using continuous
optimization",
year="1990",
booktitle="Integer Programming and Combinatorial Optimization",
publisher="University of Waterloo Press",
pages="237-248",
address="Waterloo, Ontario, Canada",
editors="W.R. Pulleyblank and Ravi Kannan"
}
@article{jw1,
author="Jeyakumar, V. and Wolkowicz, H.",
TITLE = {Zero duality gaps in infinite-dimensional programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {67},
YEAR = {1990},
NUMBER = {1},
PAGES = {87--108},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49N15 (90C48)},
MRNUMBER = {92a:49062},
MRREVR = {R. N. Kaul},
}
@article{stw4,
author="Stern, R.J. and Wolkowicz, H.",
title="Results on invariant cones",
journal=laa,
note="Proceedings from the Haifa Matrix Theory Conference, June 1990",
year="1991",
volume="166",
pages="1-26"
}
############ YEAR 1989
@article{BeatsonWolk:89,
author="R. Beatson and H. Wolkowicz",
TITLE = {Post-processing piecewise cubics for monotonicity},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {26},
YEAR = {1989},
NUMBER = {2},
PAGES = {480--502},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {65D07 (41A05 41A25)},
MRNUMBER = {90i:65019},
MRREVR = {Zhen Xiang Xiong},
}
@article{ReWo:89,
author="Rendl, F. and Wolkowicz, H.",
TITLE = {Applications of parametric programming and eigenvalue
maximization to the quadratic assignment problem},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {53},
YEAR = {1992},
NUMBER = {1, Ser. A},
PAGES = {63--78},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (90C20 90C30)},
MRNUMBER = {93c:90098},
MRREVR = {M. C. Puri},
}
############ YEAR 1988
@article{swz,
author="Sutherland, W.R.S. and Wolkowicz, H. and Zeidan, V.",
TITLE = {An explicit linear solution for the quadratic dynamic
programming problem},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {58},
YEAR = {1988},
NUMBER = {2},
PAGES = {319--330},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49C20 (49D40 90C39 93C55)},
MRNUMBER = {89e:49023},
}
############ YEAR 1987
@incollection{ws5,
author="Wolkowicz, H. and Styan, G.P.H.",
title= "{S}amuelson's Inequality",
booktitle="Encyclopedia of Statistical Sciences",
year="1987",
editor=" S. Kotz and N. Johnson",
publisher="Wiley-Interscience",
Volume="8",
note="invited paper"
}
@article{gjmw4,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Normal matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {87},
YEAR = {1987},
PAGES = {213--225},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57},
MRNUMBER = {88a:15045},
MRREVR = {L. Rodman},
}
############ YEAR 1986
@article{smw2,
author="Smith, P.W. and Wolkowicz, H.",
TITLE = {A nonlinear equation for linear programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {34},
YEAR = {1986},
NUMBER = {2},
PAGES = {235--238},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C05},
MRNUMBER = {87j:90082},
}
@article{BoWo:86,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {A simple constraint qualification in infinite-dimensional
programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {35},
YEAR = {1986},
NUMBER = {1},
PAGES = {83--96},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48},
MRNUMBER = {87i:90321},
MRREVR = {W. W. Breckner},
}
@article{gjmw3,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and
Wolkowicz, H.",
TITLE = {A note on maximizing the permanent of a positive definite
{H}ermitian matrix, given the eigenvalues},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {19},
YEAR = {1986},
NUMBER = {4},
PAGES = {389--393},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A15},
MRNUMBER = {88b:15006},
MRREVR = {H. Minc},
}
############ YEAR 1985
@article{mw,
author="J. Merikoski and H. Wolkowicz",
TITLE = {Improving eigenvalue bounds using extra bounds},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {68},
YEAR = {1985},
PAGES = {93--113},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {87e:15038},
}
@article{lw,
author="M. Lamoureux and H. Wolkowicz",
TITLE = {Numerical decomposition of a convex function},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {47},
YEAR = {1985},
NUMBER = {1},
PAGES = {51--64},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25 (26A51)},
MRNUMBER = {87a:90107},
MRREVR = {Jacques A. Ferland},
}
@article{jkw,
author="Johnson, C.R. and Kumar, R. and Wolkowicz, H.",
TITLE = {Lower bounds for the spread of a matrix},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {71},
YEAR = {1985},
PAGES = {161--173},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42},
MRNUMBER = {87a:15027},
MRREVR = {Thomas L. Markham},
}
@article{bjw,
author="Butler, G. and Johnson, C.R. and Wolkowicz, H.",
TITLE = {Nonnegative solutions of a quadratic matrix equation
arising
from comparison theorems in ordinary differential
equations},
JOURNAL = {SIAM J. Algebraic Discrete Methods},
FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Algebraic and Discrete Methods},
VOLUME = {6},
YEAR = {1985},
NUMBER = {1},
PAGES = {47--53},
ISSN = {0196-5212},
CODEN = {STAMDU},
MRCLASS = {34C11 (15A48)},
MRNUMBER = {86f:34072},
MRREVR = {G. J. Etgen},
}
############ YEAR 1984
@article{smw1,
author="Smith, P.W. and Wolkowicz, H.",
TITLE = {Dimensionality of bi-infinite systems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {57},
YEAR = {1984},
PAGES = {115--130},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A21 15A54 41A05)},
MRNUMBER = {86c:15010},
}
@article{gjmw2,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Improving {H}adamard's inequality},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {16},
YEAR = {1984},
NUMBER = {1-4},
PAGES = {305--322},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {15A42 (15A15 15A45)},
MRNUMBER = {87b:15024},
}
@article{GrJoSaWo:84,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
@article{Grone,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
TITLE = {Positive definite completions of partial {H}ermitian
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {58},
YEAR = {1984},
PAGES = {109--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57)},
MRNUMBER = {85d:05169},
MRREVR = {Larry Basen{\v{s}}piler},
}
############ YEAR 1983
@article{msw,
author="Merikoski, J. and Styan, G.P.H. and Wolkowicz, H.",
TITLE = {Bounds for ratios of eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {55},
YEAR = {1983},
PAGES = {105--124},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A42 (65F15)},
MRNUMBER = {85a:15019},
MRREVR = {Ludwig Elsner},
}
@incollection{w5,
author ="H. Wolkowicz",
TITLE = {Optimality conditions and shadow prices},
BOOKTITLE = {Mathematical programming with data perturbations, II
(Washington, D.C., 1980)},
PAGES = {49--63},
PUBLISHER = {Dekker},
ADDRESS = {New York},
YEAR = {1983},
MRCLASS = {90C25},
MRNUMBER = {85b:90056},
MRREVR = {J. E. Spingarn},
}
@article{w4,
author="H. Wolkowicz",
TITLE = {Method of reduction in convex programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {40},
YEAR = {1983},
NUMBER = {3},
PAGES = {349--378},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {85d:90077},
MRREVR = {S. Zlobec},
}
@article{w3,
author="H. Wolkowicz",
TITLE = {An optimality condition for a nondifferentiable convex
program},
JOURNAL = {Naval Res. Logist. Quart.},
FJOURNAL = {Naval Research Logistics Quarterly},
VOLUME = {30},
YEAR = {1983},
NUMBER = {3},
PAGES = {415--418},
ISSN = {0028-1441},
CODEN = {NRLQAR},
MRCLASS = {90C25},
MRNUMBER = {85a:90181},
}
############ YEAR 1982
@article{bw4,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterizations of optimality without constraint
qualification for the abstract convex program},
NOTE = {Optimality and stability in mathematical programming},
JOURNAL = {Math. Programming Stud.},
FJOURNAL = {Mathematical Programming Study},
volume = {19},
YEAR = {1982},
PAGES = {77--100},
ISSN = {0303-3929},
CODEN = {MPSTDF},
MRCLASS = {90C25},
DOI = {10.1007/BFb0120983},
MRNUMBER = {83k:90083},
URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/q484808423l21876/}
}
############ YEAR 1981
@article{w12,
author="H. Wolkowicz",
TITLE = {A strengthened test for optimality},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {35},
YEAR = {1981},
NUMBER = {4},
PAGES = {497--515},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C25},
MRNUMBER = {84d:90088},
MRREVR = {Szymon Dolecki},
}
@article{bw1,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Facial reduction for a cone-convex programming problem},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {3},
PAGES = {369--380},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C25},
MRNUMBER = {83b:90121},
MRREVR = {B. T. Polyak},
}
@article{bw2,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Characterization of optimality for the abstract convex
program
with finite-dimensional range},
JOURNAL = {J. Austral. Math. Soc. Ser. A},
FJOURNAL = {Australian Mathematical Society. Journal. Series A},
VOLUME = {30},
YEAR = {1980/81},
NUMBER = {4},
PAGES = {390--411},
ISSN = {0263-6115},
CODEN = {JAMADS},
MRCLASS = {90C48},
MRNUMBER = {83i:90156},
MRREVR = {R. L. Graves},
}
@article{bw3,
author="Borwein, J.M. and Wolkowicz, H.",
TITLE = {Regularizing the abstract convex program},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {83},
YEAR = {1981},
NUMBER = {2},
PAGES = {495--530},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {90C48 (90C25)},
MRNUMBER = {83d:90236},
MRREVR = {S. Zlobec},
}
@article{w11,
author="H. Wolkowicz",
TITLE = {Some applications of optimization in matrix theory},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {40},
YEAR = {1981},
PAGES = {101--118},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C25 (15A48 65K05 90C05)},
MRNUMBER = {84a:90067},
}
@inproceedings{bw6,
author="J.M. Borwein and H. Wolkowicz",
title="Cone-convex programming stability and affine constraint functions",
year="1981",
booktitle="Generalized Concavity in Optimization and Economics",
publisher="Academic Press",
pages="379-397",
note="invited paper",
organization="NATO conference"
}
############ YEAR 1980
@article{w8,
author="H. Wolkowicz",
TITLE = {Geometry of optimality conditions and constraint
qualifications: the convex case},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {19},
YEAR = {1980},
NUMBER = {1},
PAGES = {32--60},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C25},
MRNUMBER = {83b:90130},
}
@article{ws3,
author="Wolkowicz, H. and Styan, G.P.H",
title="A history of {S}amuelson's inequality",
journal=amers,
year="1980",
volume="34",
pages="250"
}
@article{w10,
author="H. Wolkowicz",
TITLE = {Shadow prices for an unstable convex program},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied
Mathematics, Computer Science, and Statistics},
VOLUME = {18},
YEAR = {1980},
PAGES = {119--139},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {90C25},
MRNUMBER = {82d:90100},
MRREVR = {Roger Hartley},
}
@article{ws1,
author="Wolkowicz, H. and Styan, G.P.H",
TITLE = {More bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {31},
YEAR = {1980},
PAGES = {1--17},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18 (65F15)},
MRNUMBER = {81k:15016},
MRREVR = {J. Segethov{\'a}},
}
@article{ws2,
author="Wolkowicz, H. and Styan, G.P.H.",
TITLE = {Bounds for eigenvalues using traces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {29},
YEAR = {1980},
PAGES = {471--506},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18},
MRNUMBER = {81k:15015},
MRREVR = {M. Shafqat Ali},
}
@article{w2,
author="H. Wolkowicz",
TITLE = {Convex programs with equivalent duals},
JOURNAL = {Appl. Math. Notes},
FJOURNAL = {Applied Mathematics Notes},
VOLUME = {5},
YEAR = {1980},
NUMBER = {2},
PAGES = {45--62},
ISSN = {0700-9224},
MRCLASS = {90C25},
MRNUMBER = {81h:90121},
}
############ YEAR 1979
@article{ws4,
author="Wolkowicz, H. and Styan, G.P.H.",
TITLE = {Extensions of {S}amuelson's inequality},
JOURNAL = {Amer. Statist.},
FJOURNAL = {The American Statistician},
VOLUME = {33},
YEAR = {1979},
NUMBER = {3},
PAGES = {143--144},
ISSN = {0003-1305},
CODEN = {ASTAAJ},
MRCLASS = {62G30 (60E15)},
MRNUMBER = {80h:62038},
}
@article{w1,
author="H. Wolkowicz",
TITLE = {Calculating the cone of directions of constancy},
JOURNAL = {J. Optim. Theory Appl.},
VOLUME = {25},
YEAR = {1978},
NUMBER = {3},
PAGES = {451--457},
MRCLASS = {90C25},
MRNUMBER = {58 #25996},
}
@article{wz,
author="Wolkowicz, H. and Zlobec, S.",
TITLE = {Calculating the best approximate solution of an operator
equation},
JOURNAL = {Math. Comp.},
VOLUME = {32},
YEAR = {1978},
NUMBER = {144},
PAGES = {1183--1213},
MRCLASS = {65J05 (47A50)},
MRNUMBER = {58 #13701},
MRREVR = {P. M. Anselone},
}
@article{stw3,
author="Stern, R.J. and H. Wolkowicz",
TITLE = {A note on generalized invariant cones and the {K}ronecker
canonical form},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {147},
YEAR = {1991},
PAGES = {97--100},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A18 15A48)},
MRNUMBER = {92e:15018},
}
@article{stw2,
author="Stern, R.J. and Wolkowicz, H.",
TITLE = {Exponential nonnegativity on the ice cream cone},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {12},
YEAR = {1991},
NUMBER = {1},
PAGES = {160--165},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A48},
MRNUMBER = {92j:15013},
MRREVR = {Raphael Loewy},
}
@article{stw1,
author="Stern, R.J. and Wolkowicz, H.",
TITLE = {Invariant ellipsoidal cones},
BOOKTITLE = {Proceedings of the First Conference of the International
Linear
Algebra Society (Provo, UT, 1989)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {150},
YEAR = {1991},
PAGES = {81--106},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {92h:15014},
MRREVR = {Raphael Loewy},
}
############
#### Problems and Solutions
######
%Refereed Problems and Solutions
@article{Wolk:siam94,
author="Wolkowicz, H.",
title="Problem Solution 93-17",
journal="SIAM Review",
volume="36",
number="4",
year="1994",
pages="657-659"
}
@article{jww,
author="Johnson, C.R. and Wolkowicz, G. and Wolkowicz, H.",
title= "Elem. Prob. E. 3234",
journal=amerm,
year="1987",
volume="94",
pages="877"
}
@article{bsw,
author="Borwein, J.M. and Styan, G.P.H. and Wolkowicz, H.",
title="Some inequalities involving statistical expressions",
journal="SIAM Review",
year="1982",
volume="24",
pages="340-342"
}
@article{w14,
author="H. Wolkowicz",
title="A constrained matrix optimization problem",
journal="SIAM Review 23",
year="1981",
volume="101"
}
############
#### THESES
######
@phdthesis{w15,
author="H. Wolkowicz",
title="Constructive approaches to approximate solutions of
operator equations and convex programming",
school="McGill University",
year="1978"
}
@mastersthesis{w9,
author="H. Wolkowicz",
title= "Kantorovich's general theory of approximation methods",
school="McGill University",
year="1975",
note="M.Sc. Thesis"
}
############
#### Unpublished Research Reports... book reviews ... problems ...
######
@article{piccwolk:05,
author="Piccialli, V. and Wolkowicz, H.",
title= "Solution to Problem 34-6.1",
journal="{IMAGE}-The Bulletin of the International
Linear Algebra Society",
year="2005",
volume="35",
pages="33-34"
}
@article{wolkieee:2006,
author="H. Wolkowicz",
title = "Book Review of: {O}ptimization: {I}nsights and {A}pplications, by
{B}rinkhuis and {T}ikhomirov",
journal="IEEE Control Systems Magazine",
pages = "",
year="2007",
}
@techreport{AlWo:98,
author = "A.Y. Alfakih and H. Wolkowicz",
title = "On the embeddability of weighted graphs in
{E}uclidean spaces",
institution = "University of Waterloo",
number = "CORR 98-12",
year = "1998",
}
@techreport{Wo:00,
author = "A.Y. Alfakih and H. Wolkowicz",
title = "A New Semidefinite Programming Model
for Large Sparse
{E}uclidean Distance Matrix Completion Problems",
institution = "University of Waterloo",
number = "CORR 2000-37",
year = "2000",
address = "Waterloo, Canada"
}
@techreport{CheungKrislWo:10,
author = "Cheung, Y-L. and Krislock, N. and Wolkowicz, H.",
title = "Facial Reduction for Compressive Sensing",
institution="University of Waterloo",
number="CORR 2010",
note = "in progress",
address="Waterloo, Ontario",
year="2010"
}
@techreport{AnWo:99,
author="M.F. Anjos and H. Wolkowicz",
title = "A STRENGTHENED {SDP} RELAXATION via a SECOND LIFTING
for the {M}AX-{C}UT PROBLEM",
institution="University of Waterloo",
number="CORR 99-55",
note = "28 pages",
address="Waterloo, Ontario",
year="1999",
}
@techreport{GrKrReWo:98,
author="G. Gruber and S. Kruk and F. Rendl and H. Wolkowicz",
title = "Presolving for
Semidefinite Programs Without
Constraint Qualifications",
institution="University of Waterloo",
number="CORR 98-32",
address="Waterloo, Ontario",
year="1998",
}
@techreport{AnjosHighWolk:01,
author="M.F. Anjos and N. Krislock and M. Takouda and H. Wolkowicz",
title = "A semidefinite programming approach for the closest
correlation matrix problem",
institution="University of Waterloo",
number="in progress",
address="Waterloo, Ontario",
year="2009",
}
@techreport{KrislockRendlWolk:10,
author = "Krislock, N. and Rendl, F. and Wolkowicz, H.",
title = "Noisy Sensor Network Localization
using Semidefinite Representations and Facial Reduction",
institution="University of Waterloo",
number="CORR 2010-01, in progress",
address="Waterloo, Ontario",
year="2010"
}
@article {MR2295140forward,
AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207--209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {2295140},
DOI = {10.1007/s10107-006-0037-9},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-006-0037-9},
}
@techreport{hw,
author="Hadley, S.W. and Wolkowicz, H.",
title="The {H}essian of a function of the eigenvalues",
institution="University of Waterloo",
year="1988",
type="Unpublished Research Report"
}
@techreport{wb2,
author="Wolkowicz, H. and Ben-Israel, A.",
title="Taking advantage of degeneracy in linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-23"
}
@techreport{wb1,
author="Wolkowicz, H. and Ben-Israel, A.",
title="A volume and constraint reducing algorithm for linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-29"
}
@techreport{h9,
author="H. Wolkowicz",
title="Generating eigenvalue bounds using optimization",
institution="University of Waterloo",
year="1985",
type="Unpublished Research Report"
}
@techreport{scw,
author="Schoettle, C. and Wolkowicz, H.",
title="The teaching assignment problem",
institution="Emory University",
year="1985",
type="Unpublished Research Report"
}
@techreport{gjmw5,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
title="Constrained ranges of sesquilinear forms",
institution="University of Waterloo",
year="1983",
type="Unpublished Research Report"
}
@techreport{w7,
author="H. Wolkowicz",
title="Bounds for the {K}antorovich ratio",
institution="The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{maw,
author="H. Massam and H. Wolkowicz",
title= "Regularization and convex approximation",
institution=" The University of Alberta",
year="1981",
type="Unpublished Research Report"
}
@techreport{w6,
author="H. Wolkowicz",
title="Optimality and the cone of affine directions",
institution=" The University of Alberta",
year="1980",
type="Unpublished Research Report"
}
%Other:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%Research Reports and Preface and Book Reviews etc...%%%%%%%%%%%%%%%%%
@techreport{FortinWolk:01,
author = "C. Fortin and H. Wolkowicz",
title = "A Survey of the Trust Region Subproblem Within a
Semidefinite Programming Framework",
institution = "University of Waterloo",
number = "CORR 2002-22",
year = "2002",
note="URL:http://orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#surveytrs",
address = "Waterloo, Canada"
}
@techreport{AlWolk:02,
author = "A.Y. Alfakih and H. Wolkowicz",
title = "{E}uclidean Distance Matrices and the
Molecular Conformation Problem",
institution="University of Waterloo",
number="17",
address="Waterloo, Ontario",
year="2002"
}
@techreport{Wolk:02,
author = "H. Wolkowicz",
title = "Semidefinite Programming",
institution="University of Waterloo",
number="4",
address="Waterloo, Ontario",
year="2002"
}
@techreport{ReSoWo:02,
author = "F. Rendl and R. Sotirov and H. Wolkowicz",
title = "A Note on a Simplified {HKM} Direction
for Special Classes of {SDP}",
institution = "University of Waterloo",
number = "CORR Report 2002-16",
year = "2002",
address = "Waterloo, Canada"
}
@techreport{KrPiWo:06,
author = "Krislock, N. and Piccialli, V. and H. Wolkowicz",
title = "Robust Semidefinite Programming Approaches for
Sensor Network Localization with Anchors",
institution="University of Waterloo",
number="CORR 2006-12",
note="URL:orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#sensorKPW",
address="Waterloo, Ontario",
year="2006"
}
@article {MR2295140,
AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
TITLE = {Foreword: special issue on large-scale nonlinear and
semidefinite programming},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
Programming Society},
VOLUME = {109},
YEAR = {2007},
NUMBER = {2-3, Ser. B},
PAGES = {207-209},
ISSN = {0025-5610},
MRCLASS = {90-06 (90C06 90C32)},
MRNUMBER = {MR2295140},
}
@article {MR2290680,
AUTHOR = {
R. Bhatia and R. Guralnick and S. Kirkland and
H. Wolkowicz},
TITLE = {Preface to the 12th {ILAS} {C}onference {P}roceedings,
{R}egina 2005},
NOTE = {Held in Regina, SK, June 26--29, 2005},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {421},
YEAR = {2007},
NUMBER = {1},
PAGES = {1--2},
ISSN = {0024-3795},
MRCLASS = {15-06},
MRNUMBER = {2290680},
DOI = {10.1016/j.laa.2006.10.023},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2006.10.023},
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Graduate Students Theses:
@mastersthesis{JeffCheng:23,
author="Jeffrey Cheng",
title="Semidefinite Programming Relaxations of the Simplified
Wasserstein Barycenter Problem: An {ADMM} Approach",
school="University of Waterloo",
URL={https://uwspace.uwaterloo.ca/handle/10012/19416},
year="2023"
}
@mastersthesis{NaomiGraham:20,
author="Naomi Graham",
title="A Blueprint for Semidefinite Relaxations of Binary-Constrained
Quadratic Programs",
school="University of Waterloo",
URL={https://www.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisADMM_QAP.pdf},
year="2020"
}
@mastersthesis{MingyuYang:19,
author="Mingyu. Yang",
title="Uncertainty Set Sizes, Sensitivity Analysis, in Robust Portfolio
Optimization",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/MingyuYangCM-eresearchpaper-printcopy.pdf},
year="2019"
}
@mastersthesis{RyanHughes:19,
author="Ryan Hughes",
title="Updated Stable Method for LP",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/UpdatedStableMethod_RyanHughes_UWformat.pdf},
year="2019"
}
@phdthesis{HaesolIm:2022,
author="H. Im",
title="Implicit Loss of Surjectivity and Facial Reduction: Theory and
Applications",
school="University of Waterloo",
publisher={UWSpace},
year="2023"
}
@mastersthesis{XuetongWang:22,
author="Xuetong Wang",
title="Splitting Methods in Convex Programming",
school="University of Waterloo",
year="2022"
}
@phdthesis{Sremac:2019,
author="S. Sremac",
title="Error bounds and singularity degree in semidefinite programming",
school="University of Waterloo",
publisher={UWSpace},
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/stefanphdthesisdec.pdf},
year="2019"
}
@mastersthesis{HaesolIm:19,
author="H. Im",
title="Sensitivity Analysis and Robust Optimization:
A Geometric Approach for the Special Case of
Linear Optimization",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/sunethesis.pdf},
year="2018"
}
@mastersthesis{HaoSun:16,
author="H. Sun",
title="{ADMM} for {SDP} Relaxation of {GP}",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/sunethesis.pdf},
year="2016"
}
@mastersthesis{ZhenyuLiao:16,
author="Z. Liao",
title="Branch and Bound via {ADMM} for the Quadratic Assignment Problem",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/alisterthesis.pdf},
year="2016"
}
@mastersthesis{XinghangYe:16,
author="X. Ye",
title="Low Rank Matrix Completion through Semi-definite Programming with
Facial Reduction",
school="University of Waterloo",
URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/xinghangthesis.pdf},
year="2016"
}
@phdthesis{Cheung:2013,
author="Y.-L. Cheung",
title="Preprocessing and Reduction for Semidefinite Programming via
Facial Reduction: Theory and Practice",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisvrisnov13.pdf},
year="2013"
}
@phdthesis{Lin:2013,
author="M. Lin",
title="Angles, Majorization, Wielandt Inequality and Applications",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesismingmay613.pdf},
year="2013"
}
@phdthesis{krislock:2010,
author="N. Krislock",
title="Semidefinite Facial Reduction for Low-Rank {E}uclidean Distance
Matrix Completion",
school="University of Waterloo",
URL={http://uwspace.uwaterloo.ca/handle/10012/5093},
year="2010"
}
@phdthesis{wei:2005,
author="H. Wei",
title="Numerical Stability in
Linear Programming and Semidefinite Programming",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#weithesis},
year="2006"
}
@phdthesis{MarinaThesis,
author="M. Potaptchik",
title="Portfolio Selection Under Nonsmooth Convex
Transaction Costs",
school="University of Waterloo",
year="2006"
}
@phdthesis{Kruk:01,
author="S. Kruk",
title="High Accuracy Algorithms for the Solutions of Semidefinite
Linear Programs",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01},
year="2001"
}
@mastersthesis{Oleg:04,
author="O. Grodzevich",
title="Regularization Using a Parameterized Trust Region Subproblem",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#regularizthesis},
year="2004"
}
@mastersthesis{Yichuan:07,
author="Y. Ding",
title="On Efficient Semidefinite Relaxations for Quadratically
Constrained Quadratic Programming",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#yichuanthesis},
year="2007"
}
@mastersthesis{Danielc:10,
author="X. Cui",
title="Computing the Nearest Correlation Matrix using Difference Map
Method",
school="University of Waterloo",
year="2010"
}
@mastersthesis{HengYe:11,
author="H. Ye",
title="Efficient Trust Region Subproblem Algorithms",
school="University of Waterloo",
year="2011"
}
@mastersthesis{Fortin:00,
author="C. Fortin",
title="A Survey of the Trust Region Subproblem within a Semidefinite
Framework",
school="University of Waterloo",
year="2000"
}
@mastersthesis{Froh:03,
author="M. Froh",
title="Trust Region Subproblems and Linear Least-Squares
Regularization",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#mikefroh03},
year="2003"
}
@mastersthesis{Kruk:96,
author="S. Kruk",
title="Semidefinite Programming Applied to Nonlinear Programming",
school="University of Waterloo",
year="1996"
}
@phdthesis{zhao:96,
author="Q. Zhao",
title="Semidefinite Programming for Assignment and Partitioning Problems",
school="University of Waterloo",
year="1996"
}
@phdthesis{Anjosthesis,
author="M.F. Anjos",
title="New Convex Relaxations for the Maximum Cut and VLSI Layout
Problems",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01},
year="2001"
}
@mastersthesis{qz,
author="Q. Zhao",
title="Measures for Least Change Secant Methods",
school="University of Waterloo",
year="1993",
}
@mastersthesis{schaecke:04,
author="K. Schaecke",
title="Essay on: The {K}ronecker Product",
school="University of Waterloo",
URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#kron04},
year="2004",
}
@mastersthesis{skarisch:92,
author="S.E. Karisch",
title="Trust Regions and the Quadratic Assignment Problem",
school="University of Waterloo",
year="1992"
}
@phdthesis{hadley:89,
author="S.W. Hadley",
title="Continuous Optimization Approaches to the Quadratic Assignment Problem",
school="University of Waterloo",
year="1989"
}
@mastersthesis{lund:88,
author="J. Lund",
title="Optimal Vehicle Replacement Policy",
school="University of Waterloo",
year="1988"
}
@mastersthesis{stephan:85,
author="P. Stephan",
title="An Explicit Solution to the Quadratic Dynamic Programming Problem",
school="Emory University",
year="1985"
}
@mastersthesis{schoettle:85,
author="C. Schoettle",
title="The Teaching Assignment Problem",
school="Emory University",
year="1985"
}
@mastersthesis{kumar:84,
author="R. Kumar",
title="Bounds for Eigenvalues",
school="University of Alberta",
year="1984"
}
.publsINC.bib 0000640 0010230 0010230 00000007703 14511012454 014100 0 ustar hwolkowi hwolkowicz # This file contains papers incomplete/near completion as of Oct7/23
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
@techreport{hu2023QKD,
title={Quantum Key Distribution Rate Computation
with Inequalities and Nuclear Norm},
author={H. Hu and H. Im and J. Lin and N. L\"utkenhaus and H. Wolkowicz},
institution="University of Waterloo",
note = "15 pages",
address = "Waterloo, Ontario",
year="2023 \underline{near completion}",
}
@techreport{ImJungMoursiDavidW:22,
title={Convergence and Stability of Generalized {J}acobians for
Alternating Projections Type Methods},
author = {H. Im and W. Jung and W.M. Moursi and David
Torregrosa-Belen and H. Wolkowicz},
institution="University of Waterloo",
note = "35 pages",
address = "Waterloo, Ontario",
year="2023 \underline{near completion}",
}
@techreport{AlfJungMourWolk:23,
title={Wasserstein Barycenters and Splitting Methods},
author = {A. Alfakih and W.L. Jung and W.M. Moursi and
and H. Wolkowicz},
institution="University of Waterloo",
note = "29 pages",
address = "Waterloo, Ontario",
year="2023 \underline{near completion}",
}
@techreport{FranDavidWalaaWold:23,
author = {F.J. Arag\'{o}n-Artacho
and D. Torregrosa-Bel\'{e}n and W.M. Moursi and H. Wolkowicz},
title = {Various Models and Splitting Methods for Euclidean Matrix
Completions},
institution = {University of Waterloo},
address = {Waterloo, Canada},
note = {28 pages},
year="2023 in progress",
}
.qap.bib 0000640 0010230 0010230 00000343360 14516202654 013214 0 ustar hwolkowi hwolkowicz # This file contains bib entries related to the quadratic assignment problem
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/qap.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
#
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
%AAAAAAAAAA
@techreport {AnsBri:00,
author = "K.M. Anstreicher and N.W. Brixius",
title = "Solving quadratic assignment problems using
convex quadratic programming relaxations",
institution = "University of Iowa",
address = " Iowa City, IA",
year = "2000"
}
@article{ArmBuf63,
author = "Armour, G.C. and Buffa, E.S.",
title = "Heuristic algorithm and simulation approach to relative
location of facilities",
journal = ms,
volume = "9",
year = "1963",
pages = "294--309"
}
@article{AssXu85,
author = "ASSAD, A.A. and XU, W.",
title = "On lower bounds for a class of quadratic $\{0,1\}$
programs",
journal = "Operations Research Letters",
volume = "4",
pages = "175--180",
year = "1985"
}
%BBBBBBBBBBBBBB
@conference{BalMaz80,
author = "Balas, E. and Mazzola, J.B.",
title = "Quadratic 0-1 programming by a new linearization",
booktitle = "Proceedings of the TIMS/ORSA",
organization = "TIMS/ORSA",
address = "{Washington D.c.}",
month = "May",
year = "1980"
}
@article{BalSal89,
author = "Balas, E. and Saltzman, M.J.",
title = "Facets of the three-index assignment polytope",
journal="Discrete Applied Mathematics",
vol = "23",
year = "1989",
pages="201-229"
}
@article{BaSa91,
author = "Balas, E. and Saltzman, M.J.",
title = "An algorithm for the three-index assignment problem",
journal = or,
volume = "39",
pages = "150--161",
year = "1991"
}
@article{BalQi93,
author = "Balas, E. and Qi, L.",
title = "Linear-time separation algorithms for the three-index
assignment polytope",
journal="Discrete Applied Mathematics",
vol = "43",
year = "1993",
pages="1-12"
}
@article{BaCrSp91,
author = "Bandelt, H.-J. and Crama, Y. and Spieksma, F.C.R. ",
title = " Approximation algorithms for
multidimensional assignment problems with decomposable costs",
journal = " Discrete Applied Mathematics",
note="to appear",
year = "1991"
}
@article{BazShe79,
author = "Bazaraa, M.S. and Sherali, H.D.",
TITLE = "New approaches for solving the quadratic assignment problem", journal = orv,
volume = "32",
pages = "29--46",
year = "1979"
}
@article{BazShe80,
author = "Bazaraa, M.S. and Sherali, H.D.",
title = "Bender's partitioning scheme applied to a new formulation
of the quadratic assignment problem",
journal = nrlq,
volume = "27",
pages = "29--41",
year = "1980"
}
@article{BazShe82,
author = "Bazaraa, M.S. and Sherali, H.D.",
title = "On the use of exact and heuristic cutting plane methods for
the quadratic assignment problem",
journal = jors,
volume = "33",
pages = "991--1003",
year = "1982"
}
@article{Be:94,
author = "J.E.Beasley",
title = "Obtaining test problems using e-mail",
journal = "Journal of global optimization",
year = "1994",
note = "to appear"
}
@article{Bok81,
author = "Bokhari, S.H.",
title = "On the mapping problem",
journal = "IEEE Transactions on Computers",
volume = "C-30",
number = 3,
pages = "207--214",
year = "1981"
}
@book{Bok87,
author = "Bokhari, S.H.",
title = "Assignment Problems in Parallel and Distributed
Computing",
publisher = "Kluwer Academic Publishers",
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title="Joining Forces in Solving Large-Scale Quadratic Assignment
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author = "R.E. Burkard and E. \c{C}ela",
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Institution = {Institute of Mathematics},
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editors, {\em
Annotated Bibliographies in Combinatorial Optimization}}
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NUMBER = {4},
PAGES = {351--403},
ISSN = {0010-485X},
CODEN = {CMPTA2},
MRCLASS = {90C20 (90C31)},
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@incollection {MR1665418,
AUTHOR = {Burkard, R.E. and {\c{C}}ela, E. and Pardalos,
P.M. and PITSOULIS, L.S.},
TITLE = {The quadratic assignment problem},
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MRCLASS = {90C27 (90-02 90C10)},
MRNUMBER = {MR1665418},
}
@book {MR1490831,
AUTHOR = {{\c{C}}ela, E.},
TITLE = {The quadratic assignment problem},
SERIES = {Combinatorial Optimization},
VOLUME = {1},
NOTE = {Theory and algorithms},
PUBLISHER = {Kluwer Academic Publishers, Dordrecht},
YEAR = {1998},
PAGES = {xvi+287},
ISBN = {0-7923-4878-8},
MRCLASS = {90-02 (65F30 90C27 90C35)},
MRNUMBER = {1490831 (99a:90001)},
MRREVIEWER = {Rainer Burkard},
DOI = {10.1007/978-1-4757-2787-6},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/978-1-4757-2787-6},
}
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author = "R.E. Burkard and E. Cela and B. Klinz",
title = {On the biquadratic assignment problem},
Number = {260},
Institution = {Institute of Mathematics},
Address = {University of Technology Graz},
Year = {1993},
comment = {to appear in: DIMACS workshop on qap},
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year = "1992",
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%CCCCCCCCCCCCCCCCCC
@article{ChaSko92a,
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institution = "State University of New York at Stony Brook",
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@techreport {BrClPe:96,
author = "J. Clausen and A. BRUENGGER and M. PERREGARD
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title = "Joining forces in problem solving:
Combining problem-specific knowledge and high-performance hardware by a
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Institution = {University of Copenhagen},
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@ARTICLE {ClPe:94,
author = "J. Clausen and M. PERREGARD",
title = "Solving large quadratic assignment problems in
parallel",
journal = coap,
pages = "to appear"}
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%DDDDDDDDDDDDDDD
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%EEEEEEEEEEEEEEEEEE
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%FFFFFFFFFFFFFFFF
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@phdthesis{RongZhu:07,
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year = "2007"
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%GGGGGGGGGGGGGG
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%HHHHHHHHHHHHHHH
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%JJJJJJJJJJJJJJJ
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%KKKKKKKKKKKKKKKKK
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%LLLLLLLLLLLLL
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author = "LI, Y. and Pardalos, P.M. and Ramakrishnan, K.G. and
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author = {P.M. Pardalos and K.G. Ramakrishnan and M.G.C. Resende
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title = {Implementation of a variance reduction based lower
bound
in a branch and bound algorithm for the quadratic
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journal = siopt,
year = {1995},
note = {To appear},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
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}
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}
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author = {Y. LI and P.M. Pardalos and M.G.C. RESENDE},
title = {A Greedy Randomized Adaptive Search Procedure for
the Quadratic Assignment Problem},
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Theoretical
Computer Science},
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volume = {16},
pages = {237--261},
year = {1994},
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\/doc\/grpqap.ps.Z}
}
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}
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author = {M.G.C. Resende and K.G. Ramakrishnan and Z. Drezner},
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programming},
journal = {Operations Research},
volume = {43},
number = {5},
year = {1995},
pages = {781--791},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
\/doc\/qaplp.ps.Z}
}
@article{ResParLi94,
author = {M.G.C. RESENDE and P.M. Pardalos and Y. LI},
title = {Algorithm 754: {F}ortran subroutines for approximate
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dense quadratic assignment problems using {GRASP}},
journal = {ACM Transactions on Mathematical Software},
note = {To appear},
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number = {1},
month = {March},
year = {1996},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
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}
@inproceedings{RamResPar95,
author = {K.G. Ramakrishnan and M.G.C. Resende and P.M.
Pardalos},
title = {A branch and bound algorithm for the quadratic
assignment
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programming},
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}
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author = {K.G. RAMAKRISHNAN and M.G.C. RESENDE and P.M.
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title = {A branch and bound algorithm for the quadratic
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editor = {C. Floudas and P.M. Pardalos},
publisher = {Kluwer Academic Publishers},
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}
\incollection{LiParRes94,
author = {Y. LI and P.M. Pardalos and M.G.C. RESENDE},
title = {A Greedy Randomized Adaptive Search Procedure for
the Quadratic Assignment Problem},
booktitle = {Quadratic assignment and related problems},
editor = {P.M. Pardalos and H. Wolkowicz},
series = {{DIMACS} Series on Discrete Mathematics and
Theoretical
Computer Science},
publisher = {American Mathematical Society},
volume = {16},
pages = {237--261},
year = {1994},
URL = {ftp:\/\/netlib.att.com\/netlib\/att\/math\/resende\
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}
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%NNNNNNNNNNNNNNNN
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%OOOOOOOOOOOOOOOOOOO
%PPPPPPPPPPPPPPPPPPP
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%QQQQQQQQQQQQQ
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%RRRRRRRRRRRRRRR
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author={M.~RIJAL},
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school={ New York University},
address={ New York, USA},
year={1995} }
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%SSSSSSSSSSS
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%TTTTTTTTTTTTTTTTTTTTTTTTTTTT
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%VVVVVVVVV
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% alpha done till here alphabetize
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% end of database
% beginning of scott's bib file data
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AUTHOR = "C. Roucairol ",
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YEAR = 1979,
PAGES = "183-187"
}
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AUTHOR = "C. Roucairol ",
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YEAR = 1979,
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}
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YEAR = 1979,
PAGES = "99-184"
}
@INPROCEEDINGS{vanro,
AUTHOR = "A. Vannelli and G. S. Rowan ",
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AUTHOR = "T. E. Vollman and E. S. Buffa ",
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AUTHOR = "M.R. Wilhelm and T.L. Ward ",
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AUTHOR = "H. Mittelmann and J. Peng",
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address = "Urbana IL",
YEAR = 2007
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@inproceedings{mobasher07,
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}
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title={$L_p$-norm Regularization Algorithms for Optimization Over
Permutation Matrices},
author={Jiang, Bo and Liu, Ya-Feng and Wen, Zaiwen},
journal={SIAM Journal on Optimization},
volume={26},
number={4},
pages={2284--2313},
year={2016},
publisher={SIAM}
}
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title={Neue anwendungsgebiete f{\"u}r computer in der chemie},
author={Ugi, I. and Bauer, J. and Brandt, J. and Friedrich,
J. and Gasteiger, J. and Jochum, C. and Schubert,
W.},
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volume={91},
number={2},
pages={99--111},
year={1979},
publisher={Wiley Online Library}
}
@incollection{krarup1978computer,
title={Computer-aided layout design},
author={Krarup, J. and Pruzan, P.M.},
booktitle={Mathematical programming in use},
pages={75--94},
year={1978},
publisher={Springer}
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@incollection{heffley1977assigning,
title={Assigning runners to a relay team},
author={Heffley, D.R},
booktitle={Optimal strategies in sports},
volume={5},
pages={169--171},
year={1977},
publisher={North Holland Amsterdam}
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AUTHOR = {Drezner, Z.},
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URL = {https://doi.org/10.1287/ijoc.15.3.320.16076},
}
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title={Ant colonies for the quadratic assignment problem},
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year={1999},
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number={1},
pages={6},
year={2012},
publisher={Springer}
}
@incollection{mitchell1998interior,
title={Interior point methods for combinatorial optimization},
author={Mitchell, J.E. and Pardalos, P.M. and Resende, M.G.C},
booktitle={Handbook of combinatorial optimization},
pages={189--297},
year={1998},
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@article {MR2979433,
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}
@incollection {MR0054920,
AUTHOR = {von Neumann, J.},
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MRNUMBER = {0054920},
MRREVIEWER = {S. Sherman},
}
.quasi.bib 0000640 0010230 0010230 00000011170 12346654604 013551 0 ustar hwolkowi hwolkowicz # This file contains papers related to quasi-Newton methods
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/quasi.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
%AAAAAAAAAAAA
%EEEEEEEEEEEEEEEEEE
@article {MR91k:90162,
AUTHOR = {Engels, John R. and Mart{\'\i}nez, H{\'e}ctor J.},
TITLE = {Local and superlinear convergence for partially known
quasi-{N}ewton methods},
JOURNAL = siopt,
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {1},
YEAR = {1991},
NUMBER = {1},
PAGES = {42--56},
ISSN = {1052-6234},
CODEN = {SJOPE8},
}
%PPPPPPPPPPPPPPPPPPP
@article {MR86h:49038,
AUTHOR = {Passy, U. and Prisman, E. Z.},
TITLE = {Secant relations versus positive definiteness in
quasi-{N}ewton
methods},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {44},
YEAR = {1984},
NUMBER = {4},
PAGES = {681--687},
ISSN = {0022-3239},
keywords = "linear least squares",
CODEN = {JOTABN},
}
%SSSSSSSSSSSSSSSSSS
@incollection {MR91b:90191,
AUTHOR = {Schittkowski, K.},
TITLE = {Solving constrained nonlinear least squares problems by a
general purpose {S}{Q}{P}-method},
BOOKTITLE = {Trends in mathematical optimization (Irsee, 1986)},
PAGES = {295--309},
SERIES = {Internat. Schriftenreihe Numer. Math.},
VOLUME = {84},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1988},
}
% XXXXXXXXXXXXXXXx
@article {MR97j:65103,
AUTHOR = {Xu, Chengxian and Ma, Xiaofang},
TITLE = {Factorized updating methods for nonlinear least squares},
NOTE = {Conference on Scientific Computation '94 (Shatin, 1994)},
JOURNAL = {Southeast Asian Bull. Math.},
FJOURNAL = {Southeast Asian Mathematical Society. Southeast Asian
Bulletin
of Mathematics},
VOLUME = {20},
YEAR = {1996},
NUMBER = {3},
PAGES = {97--102},
ISSN = {0218-0006},
}
% YYYYYYYYYYYYYYYY
@article {MR93a:90051,
AUTHOR = {Yabe, Hiroshi and Takahashi, Toshihiko},
TITLE = {Numerical comparison among structured quasi-{N}ewton
methods
for nonlinear least squares problems},
JOURNAL = {J. Oper. Res. Soc. Japan},
FJOURNAL = {Journal of the Operations Research Society of Japan},
VOLUME = {34},
YEAR = {1991},
NUMBER = {3},
PAGES = {287--305},
ISSN = {0453-4514},
CODEN = {JORJAS},
}
.realAlg.bib 0000640 0010230 0010230 00000051474 13153270250 013775 0 ustar hwolkowi hwolkowicz @inproceedings{MaZhilowrank:2012,
author = {Ma, Y. and Zhi, L.},
title = {Computing Real Solutions of Polynomial Systems via Low-rank Moment Matrix Completion},
booktitle = {Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation},
series = {ISSAC '12},
year = {2012},
isbn = {978-1-4503-1269-1},
location = {Grenoble, France},
pages = {249--256},
numpages = {8},
url = {http://doi.acm.org/10.1145/2442829.2442866},
doi = {10.1145/2442829.2442866},
acmid = {2442866},
publisher = {ACM},
address = {New York, NY, USA},
keywords = {alternating direction method, fixed point continuation method, low-rank moment matrix completion, nuclear norm minimization, semi-algebraic set},
}
@Inbook{Lovasz2003,
author="Lov{\'a}sz, L.",
editor="Reed, Bruce A.
and Sales, Cl{\'a}udia L.",
chapter="Semidefinite Programs and Combinatorial Optimization",
title="Recent Advances in Algorithms and Combinatorics",
year="2003",
publisher="Springer New York",
address="New York, NY",
pages="137--194"
}
@Article{reidwangwolk2015,
author = "G. Reid and F. Wang and H. Wolkowicz and W. Wu",
title = "{Semidefinite Programming and facial reduction for Systems of Polynomial Equations}",
year = "2015",
journal = "Preprint arXiv:1504.00931v1"
}
@article{Higham1988103,
title = "Computing a nearest symmetric positive semidefinite matrix ",
journal = "Linear Algebra and its Applications ",
volume = "103",
number = "",
pages = "103 - 118",
year = "1988",
author = "N.J. Higham"
}
#######################added paper by Greg Reid 2014
@article{CurtoFialkow96,
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year={1988},
publisher={Elsevier}
}
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year={1999},
publisher={Elsevier}
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@article{GerdtBlinkov:1998,
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year={1998},
publisher={Elsevier}
}
@article{GTZ88,
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year = {1988},
author = {Patrizia Gianni and Barry Trager and Gail Zacharias},
}
@article{GrigorevVorobjov92,
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subexponential time},
author={Grigor'ev, D.Y. and Vorobjov Jr, N.N},
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volume={2},
number={2},
pages={133--186},
year={1992},
publisher={Springer}
}
@article{Hauenstein12,
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journal={Acta applicandae mathematicae},
volume={125},
number={1},
pages={105--119},
year={2013},
publisher={Springer}
}
@phdthesis{Hong90,
author = {Hong, Hoon},
advisor = {Collins, G.E.},
title = {Improvements in Cad-based Quantifier Elimination},
year = {1990},
note = {AAI9111716},
school = {The Ohio State University},
}
@article{Kuranishi:1957,
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pages={1--47},
year={1957},
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}
@article{LasserreLaurentRostalski09,
title={A prolongation--projection algorithm for computing the finite
real variety of an ideal},
author={Lasserre, J.B. and Laurent, M. and Rostalski, P.},
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year={2009},
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@book{bertini2013,
title={Numerically solving polynomial systems with Bertini},
author={Bates, D.J and Hauenstein, J.D and Sommese, A.J and Wampler, C.W},
volume={25},
year={2013},
publisher={SIAM}
}
@incollection{LaurentRostalski:12,
author = "Laurent, M. and Rostalski, P.",
title = "The approach of moments for polynomial equations",
booktitle = {Handbook on semidefinite, conic and
polynomial
optimization},
EDITOR = {Anjos, Miguel F. and Lasserre, Jean B.},
SERIES = {International Series in Operations Research \& Management
Science, 166},
PUBLISHER = {Springer, New York},
pages = "25--60",
YEAR = {2012},
MRCLASS = {90-06 (90C22 90C30)},
MRNUMBER = {2894661 (2012j:90006)},
DOI = {10.1007/978-1-4614-0769-0},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-0769-0},
}
@phdthesis{Lu06,
title={Finding all real solutions of polynomial systems},
author={Lu, Y.},
year={2006},
school={University of Notre Dame}
}
@book{Macaulay:1916,
title={The algebraic theory of modular systems},
author={Macaulay, F.S. and Roberts, P.},
year={1916},
publisher={University press Cambridge}
}
@inproceedings{MaZhi12,
title={Computing real solutions of polynomial systems via low-rank
moment matrix completion},
author={Ma, Y. and Zhi, L.},
booktitle={Proceedings of the 37th International Symposium on Symbolic
and Algebraic Computation},
pages={249--256},
year={2012},
organization={ACM}
}
@article{MWZ:2012,
title = {A certificate for semidefinite relaxations in computing
positive dimensional real varieties},
author={Ma, Y. and Wang, C. and Zhi, L.},
institution = "KLMM, Academy of Mathematics and Systems Science, CAS",
eprint = {math/1212.4924},
journal = "Journal of Symbolic Computation ",
volume = "72",
number = "",
pages = "1 - 20",
year = "2016",
issn = "0747-7171",
doi = "http://dx.doi.org/10.1016/j.jsc.2014.12.002 [dx.doi.org]",
url =
"http://www.sciencedirect.com/science/article/pii/S0747717114001291"
}
@article{MollerSauer:2000,
title={H-bases for polynomial interpolation and system solving},
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volume={12},
number={4},
pages={335--362},
year={2000},
publisher={Springer}
}
@article{Mourrain:1996,
title={Isolated points, duality and residues},
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volume={117},
pages={469--493},
year={1997},
publisher={Elsevier}
}
@incollection{Mourrain:1999,
title={A new criterion for normal form algorithms},
author={Mourrain, B.},
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codes},
pages={430--442},
year={1999},
publisher={Springer}
}
@inproceedings{Mourrain:2000,
title={Solving projective complete intersection faster},
author={Mourrain, B. and Trebuchet, P.},
booktitle={Proceedings of the 2000 international symposium on Symbolic and algebraic computation},
pages={234--241},
year={2000},
organization={ACM}
}
@inproceedings{Mourrain:2002,
title={Algebraic methods for numerical solving},
author={Mourrain, B. and Tr{\'e}buchet, P.},
booktitle={Proc. of the 3rd International Workshop on Symbolic and
Numeric Algorithms for Scientific Computing},
volume={1},
pages={42--57},
year={2002}
}
@book{Pommaret:1978,
title={Systems of partial differential equations and Lie
pseudogroups},
author={Pommaret, J-F.},
volume={14},
year={1978},
publisher={CRC Press}
}
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title={Finding at least one point in each connected component of a
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@incollection{SRWZ2010,
title={Geometric involutive bases and applications to approximate
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author={Scott, R. and Reid, G.J. and Wu, W. and Zhi, L.},
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AUTHOR = {Gottlieb, D. and Orszag, S.A.},
TITLE = {Numerical analysis of spectral methods: theory and
applications},
NOTE = {CBMS-NSF Regional Conference Series in Applied
Mathematics,
No. 26},
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Philadelphia,
Pa.},
YEAR = {1977},
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MRREVIEWER = {O. Widlund}
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title={Fast differential elimination in C: The CDiffElim environment},
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pages={192--217},
year={2001},
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@article{ReidSmithVerschelde:2002,
title={Geometric completion of differential systems using
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author={Reid, G.J. and Smith, C. and Verschelde, J.},
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volume={36},
number={2},
pages={1--17},
year={2002},
publisher={ACM}
}
@inproceedings{ReidTangZhi:2003,
title={A complete symbolic-numeric linear method for camera pose
determination},
author={Reid, G.J. and Tang, J. and Zhi, L.},
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and algebraic computation},
pages={215--223},
year={2003},
organization={ACM}
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@techreport{ReidWangWu:14,
title = {Geometric involutive bases for positive dimensional
polynomial ideals and SDP methods},
author={Reid, G.J. and Wang, F. and Wu, W.},
date = {2014-05-28},
eprinttype = {arXiv},
eprint = {math/1405.7115},
year = {2014},
institution = "Department of Appl. Math., University of Western Ontario",
}
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title={Solving polynomial systems via symbolic-numeric reduction to
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@incollection {MR2389242,
AUTHOR = {Lu, Y. and Bates, D.J. and Sommese, A.J. and
Wampler, C.W.},
TITLE = {Finding all real points of a complex curve},
BOOKTITLE = {Algebra, geometry and their interactions},
SERIES = {Contemp. Math.},
VOLUME = {448},
PAGES = {183--205},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {2007},
MRCLASS = {65H10 (14Q99)},
MRNUMBER = {2389242 (2009c:65120)},
DOI = {10.1090/conm/448/08665},
URL =
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}
@book {MR3155500,
AUTHOR = {Bates, Daniel J. and Hauenstein, Jonathan D. and Sommese,
Andrew J. and Wampler, Charles W.},
TITLE = {Numerically solving polynomial systems with {B}ertini},
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VOLUME = {25},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, PA},
YEAR = {2013},
PAGES = {xx+352},
ISBN = {978-1-611972-69-6},
MRCLASS = {13-04 (13P15 65D99 68W30)},
MRNUMBER = {3155500},
MRREVIEWER = {Jan M. Verschelde},
}
@book{SommeseWampler05,
title={The Numerical solution of systems of polynomials arising in
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author={Sommese, A.J. and Wampler, C.W.},
volume={99},
year={2005},
publisher={World Scientific}
}
@book {Stetter:2004,
AUTHOR = {Stetter, Hans J.},
TITLE = {Numerical polynomial algebra},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {2004},
PAGES = {xvi+472},
ISBN = {0-89871-557-1},
MRCLASS = {65-02 (13P10)},
MRNUMBER = {MR2048781 (2006a:65004)},
MRREVIEWER = {Andrzej Kozlowski},
}
@incollection{Tarski31,
title={A decision method for elementary algebra and geometry},
author={Tarski, Alfred},
booktitle={Quantifier elimination and cylindrical algebraic decomposition},
pages={24--84},
year={1998},
publisher={Springer}
}
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title={Determining singular solutions of polynomial systems via
symbolic--numeric reduction to geometric involutive forms},
author={Wu, X. and Zhi, L.},
journal={Journal of Symbolic Computation},
volume={47},
number={3},
pages={227--238},
year={2012},
publisher={Elsevier}
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@inproceedings{WuReid13,
title={Finding points on real solution components and applications to
differential polynomial systems},
author={Wu, W. and Reid, G.J.},
booktitle={Proceedings of the 38th international symposium on
International symposium on symbolic and algebraic computation},
pages={339--346},
year={2013},
organization={ACM}
}
@inproceedings{YZZ13,
title={Verified error bounds for real solutions of
positive-dimensional polynomial systems},
author={Yang, Z. and Zhi, L. and Zhu, Y.},
booktitle={Proceedings of the 38th international symposium on
International symposium on symbolic and algebraic computation},
pages={371--378},
year={2013},
organization={ACM}
}
@Book{BPT2012,
Editor ={G. Blekherman and P.A. Parrilo and R.R. Thomas},
TITLE = {Semidefinite optimization and convex algebraic geometry},
SERIES = {MOS-SIAM Series on Optimization},
VOLUME = {13},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, PA; Mathematical Optimization Society,
Philadelphia, PA},
YEAR = {2013},
PAGES = {xx+476},
ISBN = {978-1-611972-28-3},
MRCLASS = {90-06 (14-06)},
MRNUMBER = {3075433},
MRREVIEWER = {Franz Rendl},
}
@article{lasserre2008semidefinite,
title={Semidefinite characterization and computation of zero-dimensional real radical ideals},
author={Lasserre, J.B. and Laurent, M. and Rostalski, P.},
journal={Foundations of Computational Mathematics},
volume={8},
number={5},
pages={607--647},
year={2008},
publisher={Springer}
}
@article{BLRSZ:2004,
title={Determination of approximate symmetries of differential
equations},
author={Bonasia, J. and Lemaire, F. and Reid, G.J. and
Zhi, L.},
journal={Group Theory and Numerical Analysis},
volume={39},
pages={249},
year={2005},
publisher={American Mathematical Soc.}
}
@book{BasuPollackRoy06,
Author ={S. Basu and R. Pollack and M.-F. Roy},
TITLE = {Algorithms in Real Algebraic Geometry},
PUBLISHER = {Springer-Verlag},
SERIES = {Algorithms and Computation in Math},
EDITION = {2},
VOLUME = {10},
YEAR = {2006}
}
@ARTICLE{BHL:2016,
AUTHOR = {Brake,D. and Hauenstein, J. and Liddell, A.},
TITLE = {Numerically validating the completeness of the real
solution set of a system of polynomial equations
},
YEAR = {2016},
JOURNAL = {Procedings of the 41th International Symposium on Symbolic and Algebraic Computation}
}
@article{neuhaus1998,
title={Computation of real radicals of polynomial ideals—ii},
author={Neuhaus, Rolf},
journal={Journal of Pure and Applied Algebra},
volume={124},
number={1},
pages={261--280},
year={1998},
publisher={Elsevier}
}
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title={Computation of real radicals of polynomial ideals},
author={Becker, Eberhard and Neuhaus, Rolf},
booktitle={Computational algebraic geometry},
pages={1--20},
year={1993},
publisher={Springer}
}
@phdthesis{spang2007,
title={On the computation of the real radical},
author={Spang, Silke J},
year={2007},
school={Thesis, Technische Universit{\"a}t Kaiserslautern}
}
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title={Real solving for positive dimensional systems},
author={Aubry, Philippe and Rouillier, Fabrice and El Din, Mohab Safey},
journal={Journal of Symbolic Computation},
volume={34},
number={6},
pages={543--560},
year={2002},
publisher={Elsevier}
}
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title={Finding at least one point in each connected component of a real algebraic set defined by a single equation},
author={Rouillier, Fabrice and Roy, M-F and El Din, M Safey},
journal={Journal of Complexity},
volume={16},
number={4},
pages={716--750},
year={2000},
publisher={Elsevier}
}
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title={Real Algebraic Geometry},
author={Bochnak, J. and Coste, M. and Roy, M.F.},
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lccn={98029344},
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year={1998},
publisher={Springer}
}
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title = {On the Momentum Problem for Distribution Functions in More Than One Dimension. II},
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year = {1936}
}
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title={Triangular decomposition of semi-algebraic systems},
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.rendlW.bib 0000640 0010230 0010230 00000024353 12346654604 013671 0 ustar hwolkowi hwolkowicz # This file contains papers related to semidefinite programming, SDP.
# This file is also available at:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
# as part of: Bibliographies on Mathematics
# Bibliography on Semidefinite Programming
# with URL http://liinwww.ira.uka.de/bibliography/Math/psd.html
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### in the file .master.bib.
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
###########
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
@article {MR1891034,
AUTHOR = {Kruk, Serge and Muramatsu, Masakazu and Rendl, Franz and
Vanderbei, Robert J. and Wolkowicz, Henry},
TITLE = {The {G}auss-{N}ewton direction in semidefinite
programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {15},
YEAR = {2001},
NUMBER = {1},
PAGES = {1--28},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1891034 (2003b:90063)},
MRREVIEWER = {Marina Alex Epelman},
}
@article {MR1616871,
AUTHOR = {Zhao, Qing and Karisch, Stefan E. and Rendl, Franz and
Wolkowicz, Henry},
TITLE = {Semidefinite programming relaxations for the quadratic
assignment problem},
NOTE = {Semidefinite programming and interior-point approaches
for
combinatorial optimization problems (Toronto, ON,
1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {71--109},
ISSN = {1382-6905},
MRCLASS = {90C27 (90C26)},
MRNUMBER = {MR1616871 (99f:90103)},
MRREVIEWER = {Yin Zhang},
}
@article {MR1461384,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {A semidefinite framework for trust region subproblems
with
applications to large scale minimization},
NOTE = {Semidefinite programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2, Ser. B},
PAGES = {273--299},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C20 (90C33)},
MRNUMBER = {MR1461384 (98i:90063)},
MRREVIEWER = {M. Teboulle},
}
@article {MR1387330,
AUTHOR = {Helmberg, Christoph and Rendl, Franz and Vanderbei,
Robert J.
and Wolkowicz, Henry},
TITLE = {An interior-point method for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {MR1387330 (97f:90086)},
MRREVIEWER = {Tam{\'a}s Terlaky},
}
@incollection {MR1367976,
AUTHOR = {Helmberg, C. and Poljak, S. and Rendl, F. and Wolkowicz,
H.},
TITLE = {Combining semidefinite and polyhedral relaxations for
integer
programs},
BOOKTITLE = {Integer programming and combinatorial optimization
(Copenhagen, 1995)},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {920},
PAGES = {124--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {MR1367976},
}
@article {MR1349612,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {A projection technique for partitioning the nodes of a
graph},
NOTE = {Applied mathematical programming and modeling, II (APMOD
93)
(Budapest, 1993)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {58},
YEAR = {1995},
PAGES = {155--179},
ISSN = {0254-5330},
MRCLASS = {90C35 (05C99)},
MRNUMBER = {MR1349612 (96g:90096)},
MRREVIEWER = {Xueliang Li},
}
@article {MR1342935,
AUTHOR = {Poljak, S. and Rendl, F. and Wolkowicz, H.},
TITLE = {A recipe for semidefinite relaxation for
{$(0,1)$}-quadratic
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {51--73},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C09 (90C27)},
MRNUMBER = {MR1342935 (96d:90053)},
MRREVIEWER = {Paulo Barcia},
}
@article {MR1297064,
AUTHOR = {Falkner, Julie and Rendl, Franz and Wolkowicz, Henry},
TITLE = {A computational study of graph partitioning},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {211--239},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
MRNUMBER = {MR1297064 (95h:90153)},
MRREVIEWER = {Yixun Lin},
}
@incollection {MR1290354,
AUTHOR = {Karisch, Stefan E. and Rendl, Franz and Wolkowicz,
Henry},
TITLE = {Trust regions and relaxations for the quadratic
assignment
problem},
BOOKTITLE = {Quadratic assignment and related problems (New
Brunswick, NJ,
1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {16},
PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {MR1290354 (95j:90053)},
MRREVIEWER = {Igor Litvinchev},
}
@incollection {MR1290345,
AUTHOR = {Pardalos, Panos M. and Rendl, Franz and Wolkowicz,
Henry},
TITLE = {The quadratic assignment problem: a survey and recent
developments},
BOOKTITLE = {Quadratic assignment and related problems (New
Brunswick, NJ,
1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {16},
PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90B80 (90C10 90C27)},
MRNUMBER = {MR1290345 (95f:90040)},
MRREVIEWER = {Horst W. Hamacher},
}
@article {MR1177733,
AUTHOR = {Hadley, S. W. and Rendl, F. and Wolkowicz, H.},
TITLE = {A new lower bound via projection for the quadratic
assignment
problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {17},
YEAR = {1992},
NUMBER = {3},
PAGES = {727--739},
ISSN = {0364-765X},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {MR1177733 (93i:90080)},
MRREVIEWER = {M. C. Puri},
}
@article {MR1155441,
AUTHOR = {Hadley, S. W. and Rendl, F. and Wolkowicz, H.},
TITLE = {Symmetrization of nonsymmetric quadratic assignment
problems
and the {H}offman-{W}ielandt inequality},
NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {167},
YEAR = {1992},
PAGES = {53--64},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (15A42 90B80)},
MRNUMBER = {MR1155441 (93d:90050)},
MRREVIEWER = {Rainer Burkard},
}
@article {MR1151765,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {Applications of parametric programming and eigenvalue
maximization to the quadratic assignment problem},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {53},
YEAR = {1992},
NUMBER = {1, Ser. A},
PAGES = {63--78},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (90C20 90C30)},
MRNUMBER = {MR1151765 (93c:90098)},
MRREVIEWER = {M. C. Puri},
}
.resende.bib 0000640 0010230 0010230 00000062221 12346654604 014057 0 ustar hwolkowi hwolkowicz @inproceedings{Res83,
author = {M.G.C. Resende},
title = {Implementation and testing of a primal-dual algorithm
for the assignment problem},
booktitle = {XIII Brazilian Operations Research Symposium},
month = {October},
year = {1980},
pages = {284--299},
note = {In Portuguese}
}
@article{CamCouRes84,
author = {R.E. Campello and L.H. Coutinho and M.G.C. Resende},
title = {A generation dispatching system for the analysis
of transmission and energy interchange in {B}razil},
journal = {Chilean Journal of Systems Engineering},
volume = {4},
pages = {45--68},
year = {1984},
note = {In Spanish}
}
@techreport{Res85,
author = {M.G.C. Resende},
title = {Computer simulation of semiconductor wafer
fabrication},
number = {ORC 86-14},
institution = {Operations Research Center,
University of California},
address = {Berkeley, CA},
month = {December},
year = {1985}
}
@article{Res86,
author = {M.G.C. Resende},
title = {A computer program for reliability evaluation of
large-scale networks via polygon-to-chain reductions},
journal = {IEEE Transactions on Reliability},
volume = {R-35},
pages = {24--29},
year = {1986}
}
@phdthesis{Res87,
author = {M.G.C. Resende},
title = {Shop floor scheduling of semiconductor wafer
manufacturing},
school = {University of California},
address = {Berkeley, CA},
month = {August},
year = {1987}
}
@article{GlaRes88a,
author = {C.R. Glassey and M.G.C. Resende},
title = {Closed-loop job release control for {VLSI} circuit
manufacturing},
journal = {IEEE Transactions on Semiconductor Manufacturing},
volume = {1},
pages = {36--46},
year = {1988}
}
@article{GlaRes88b,
author = {C.R. Glassey and M.G.C. Resende},
title = {A scheduling rule for job release in semiconductor
fabrication},
journal = {Operations Research Letters},
volume = {7},
pages = {213--217},
year = {1988}
}
@article{FeoRes89,
author = {T.A. Feo and M.G.C. Resende},
title = {A probabilistic heuristic for a computationally
difficult set covering problem},
journal = {Operations Research Letters},
volume = {8},
pages = {67--71},
year = {1989}
}
@article{AdlKarResVei89,
author = {I. Adler and N.K. Karmarkar and M.G.C. Resende and G. Veiga},
title = {Data structures and programming techniques for the
implementation of {K}armarkar's algorithm},
journal = {ORSA Journal on Computing},
volume = {1},
pages = {84--106},
year = {1989}
}
@article{AdlResVeiKar89,
author = {I. Adler and M.G.C. Resende and G. Veiga and N. Karmarkar},
title = {An implementation of {K}armarkar's algorithm for
linear programming},
journal = {Mathematical Programming},
volume = {44},
pages = {297--335},
year = {1989},
URL = {http://www.research.att.com/~mgcr/doc/das.ps.Z}
}
@inproceedings{KarResRam89,
author = {N. Karmarkar and M.G.C. Resende and K.G. Ramakrishnan},
title = {An interior point approach to the maximum independent set
problem in dense random graphs},
booktitle = {XIII Latin American Conference on Informatics},
address = {Santiago, Chile},
volume = {1},
pages = {241--260},
month = {July},
year = {1989},
URL = {http://www.research.att.com/~mgcr/doc/intmis.ps.Z}
}
@inproceedings{KamKarRamRes90a,
author = {A.P. Kamath and N. Karmarkar and K.G. Ramakrishnan
and M.G.C. Resende},
title = {Computational experience with an interior point algorithm
on the {S}atisfiability {P}roblem},
booktitle = {MPS Conference on Integer Programming and
Combinatorial Optimization},
address = {Waterloo University, Waterloo, Canada},
pages = {333--349},
month = {May},
year = {1990}
}
@article{KamKarRamRes90b,
author = {A.P. Kamath and N. Karmarkar and K.G. Ramakrishnan and
M.G.C. Resende},
title = {Computational experience with an interior point algorithm
on the {S}atisfiability {P}roblem},
journal = {Annals of Operations Research},
volume = {25},
pages = {43--58},
year = {1990}
}
@article{MonAdlRes90,
author = {R.D.C. Monteiro and I. Adler and M.G.C. Resende},
title = {A polynomial-time primal-dual affine scaling algorithm
for linear and convex quadratic programming and its
power series extension},
journal = {Mathematics of Operations Research},
volume = {15},
pages = {191--214},
year = {1990},
URL = {http://www.research.att.com/~mgcr/doc/pdas.ps.Z}
}
@article{KarResRam91,
author = {N. Karmarkar and M.G.C. Resende and K.G. Ramakrishnan},
title = {An interior point algorithm to solve computationally
difficult set covering problems},
journal = {Mathematical Programming},
volume = {52},
pages = {597--618},
year = {1991},
URL = {http://www.research.att.com/~mgcr/doc/stn.ps.Z}
}
@article{KamKarRamRes92,
author = {A.P. Kamath and N. Karmarkar and K.G. Ramakrishnan and
M.G.C. Resende},
title = {A continuous approach to inductive inference},
journal = {Mathematical Programming},
volume = {57},
pages = {215--238},
year = {1992},
URL = {http://www.research.att.com/~mgcr/doc/indinf.ps.Z}
}
@article{ParRes92,
author = {P.M. Pardalos and M.G.C. Resende},
title = {Computational Aspects of Combinatorial Optimization},
journal = {COAL Bulletin, Mathematical Programming Society},
volume = {21},
year = {1992}
}
@inproceedings{KamKarRamRes93,
author = {A.P. Kamath and N. Karmarkar and K.G. Ramakrishnan
and M.G.C. Resende},
title = {An interior point approach to {B}oolean vector function
synthesis},
booktitle = {36th MSCAS},
pages = {185--189},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/vector.ps.Z}
}
@article{ResVei93a,
author = {M.G.C. Resende and G.Veiga},
title = {An implementation of the dual affine scaling algorithm
for minimum cost flow on bipartite uncapacitated networks},
journal = {SIAM Journal on Optimization},
volume = {3},
pages = {516--537},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/dlasg.ps.Z}
}
@techreport{ResTsuVei93,
author = {M.G.C. Resende and T. Tsuchiya and G. Veiga},
title = {Identifying the optimal face of a network linear program
with a globally convergent interior point method},
booktitle = {NETFLOW93},
number = {TR-21/93},
institution = {Dipartimento di Informatica, Universit\`a di Pisa},
pages = {196--206},
month = {October},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/optface.ps.Z}
}
@article{ResVei93b,
author = {M.G.C. Resende and G. Veiga},
title = {Computing the projection in an interior point algorithm:
An experimental comparison},
journal = {Investigaci\'on Operativa},
volume = {3},
pages = {81--92},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/cgvsdf.ps.Z}
}
@incollection{ResVei93c,
author = {M.G.C. Resende and G. Veiga},
title = {An efficient implementation of a network interior
point method},
booktitle = {Network Flows and Matching: First {DIMACS}
Implementation Challenge},
editor = {D.S. Johnson and C.C. McGeoch},
series = {{DIMACS} Series on Discrete Mathematics and
Theoretical Computer Science},
publisher = {American Mathematical Society},
volume = {12},
pages = {299--348},
year = {1993},
URL = {http://www.research.att.com/~mgcr/doc/dlnet.ps.Z}
}
@article{FeoResSmi94,
author = {T.A. Feo and M.G.C. Resende and S.H. Smith},
title = {A greedy randomized adaptive search procedure for
maximum independent set},
journal = {Operations Research},
volume = {42},
pages = {860--878},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/gmis.ps.Z}
}
@article{LiParRamRes94,
author = {Y. Li and P.M. Pardalos and K.G. Ramakrishnan and
M.G.C. Resende},
title = {Lower bounds for the quadratic assignment problem},
journal = {Annals of Operations Research},
volume = {50},
pages = {387--411},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/qapbnd.ps.Z}
}
@article{ParRamResLi94,
author = {P.M. Pardalos and K.G. Ramakrishnan and M.G.C. Resende
and Y. Li},
title = {Implementation of a variance reduction based lower bound
in a branch and bound algorithm for the quadratic
assignment problem},
journal = {SIAM Journal on Optimization},
year = {1997},
volume = {7},
pages = {196--208},
URL = {http://www.research.att.com/~mgcr/doc/qapbb.ps.Z}
}
@techreport{ParResRam94,
author = {P.M. Pardalos and M.G.C. Resende and K.G. Ramakrishnan},
title = {{DIMACS} workshop on parallel processing of
discrete optimization problems},
number = {94-20},
institution = {Center for Discrete Mathematics and Theoretical
Computer Science},
address = {Piscataway, NJ},
month = {April},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/ppdop.ps.Z}
}
incollection{ResFeo95,
author = {M.G.C. Resende and T.A. Feo},
title = {A {GRASP} for Satisfiability},
booktitle = {The Second {DIMACS} Implementation Chellenge},
editor = {M.A. Trick},
series = {{DIMACS} Series on Discrete Mathematics and
Theoretical Computer Science},
year = {1995},
URL = {http://www.research.att.com/~mgcr/doc/grpsat-long.ps.Z}
}
@incollection{ResTsuVei94,
author = {M.G.C. Resende and T. Tsuchiya and G. Veiga},
title = {Identifying the optimal face of a network linear program
with a globally convergent interior point method},
booktitle = {Large Scale Optimization: State of the Art},
editor = {W.W. Hager and D.W. Hearn and P.M. Pardalos},
publisher = {Kluwer Academic Publishers},
pages = {362--387},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/optface.ps.Z}
}
incollection{LiParRes94,
author = {Y. Li and P.M. Pardalos and M.G.C. Resende},
title = {A Greedy Randomized Adaptive Search Procedure for
the Quadratic Assignment Problem},
booktitle = {Quadratic assignment and related problems},
editor = {P.M. Pardalos and H. Wolkowicz},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
volume = {16},
pages = {237--261},
year = {1994},
URL = {http://www.research.att.com/~mgcr/doc/grpqap.ps.Z} }
@article{FeoRes95,
author = {T.A. Feo and M.G.C. Resende},
title = {Greedy randomized adaptive search procedures},
journal = {Journal of Global Optimization},
volume = {6},
pages = {109--133},
year = {1995},
URL = {http://www.research.att.com/~mgcr/doc/gtut.ps.Z}
}
@inproceedings{ParPitRes95,
author = {P.M. Pardalos and L.S. Pitsoulis and M.G.C. Resende},
title = {A parallel {GRASP} implementation for the quadratic
assignment problem},
booktitle = {Parallel Algorithms for Irregularly
Structured Problems~-- Irregular'94},
editor = {A. Ferreira and J. Rolim},
publisher = {Kluwer Academic Publishers},
year = {1995},
pages = {111--130},
URL = {http://www.research.att.com/~mgcr/doc/gqaps-parallel.ps.Z}
}
@book{ParResRam95,
author = {P.M. Pardalos and M.G.C. Resende and K.G. Ramakrishnan},
title = {Parallel Processing of Discrete Optimization Problems},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
volume = {22},
year = {1995}
}
@inproceedings{RamResPar95,
author = {K.G. Ramakrishnan and M.G.C. Resende and P.M. Pardalos},
title = {A branch and bound algorithm for the quadratic assignment
problem using a lower bound based on linear programming},
booktitle = {State of the Art in Global Optimization: Computational
Methods and Applications},
editor = {C. Floudas and P.M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1995},
pages = {57--73},
URL = {http://www.research.att.com/~mgcr/doc/qaplpbb.ps.Z}
}
@incollection{ResPar95,
author = {M.G.C. Resende and P.M. Pardalos},
title = {Interior point algorithms for network flow problems},
booktitle = {Advances in linear and integer programming},
editor = {J.E. Beasley},
publisher = {Oxford University Press},
year = {1996},
pages = {149--189},
URL = {http://www.research.att.com/~mgcr/doc/ipnf.ps.Z}
}
@article{ResParLi94,
author = {M.G.C. Resende and P.M. Pardalos and Y. Li},
title = {Algorithm 754: {F}ortran subroutines for approximate
solution of
dense quadratic assignment problems using {GRASP}},
journal = {ACM Transactions on Mathematical Software},
volume = {22},
pages = {104--118},
month = {March},
year = {1996},
URL = {http://www.research.att.com/~mgcr/doc/gqapd.ps.Z}
}
@article{ResRamDre95,
author = {M.G.C. Resende and K.G. Ramakrishnan and Z. Drezner},
title = {Computing lower bounds for the quadratic assignment
problem with an interior point algorithm for linear
programming},
journal = {Operations Research},
volume = {43},
number = {5},
year = {1995},
pages = {781--791},
URL = {http://www.research.att.com/~mgcr/doc/qaplp.ps.Z}
}
@inproceedings{MarParPitRes95a,
author = {P.M. Pardalos and L. Pitsoulis and
T. Mavridou and M.G.C. Resende},
title = {Parallel search for combinatorial optimization: Genetic
algorithms, simulated annealing, tabu search, and {GRASP}},
booktitle = {Parallel Algorithms for Irregularly
Structured Problems, Proceedings of
the Second International Workshop --Irregular'95},
editor = {A. Ferreira and J. Rolim},
series = {Lecture Notes in Computer Science},
publisher = {Springer-Verlag},
volume = {980},
year = {1995},
pages = {317--331},
URL = {http://www.research.att.com/~mgcr/doc/irregular95.ps.Z} }
@article{BarGolKelResSte95,
author = {R.S. Barr and B.L. Golden and J.P. Kelly and
M.G.C. Resende and W.R. Stewart},
title = {Designing and reporting on computational experiments
with heuristic methods},
journal = {Journal of Heuristics},
volume = {1},
number = {1},
year = {1995},
pages = {9--32},
URL = {http://www.research.att.com/~mgcr/doc/guidelines.ps.Z}
}
@article{ResRib95,
author = {M.G.C. Resende and C.C. Ribeiro},
title = {A {GRASP} for graph planarization},
journal = {Networks},
volume = {29},
pages = {173--189},
year = {1997},
URL = {http://www.research.att.com/~mgcr/doc/gmpsg.ps.Z}
}
@article{ParPitRes97,
author = {P.M. Pardalos and L.S. Pitsoulis and
M.G.C. Resende},
title = {Algorithm 769: {FORTRAN} subroutines for
approximate solution of
sparse quadratic assignment problems using {GRASP}},
journal = {ACM Trans. Math. Software},
year = {1997},
volume = {23},
number = {2},
pages = {196--208}
}
@article{MavParPitRes98,
author = {T. Mavridou and P.M. Pardalos and L.S. Pitsoulis and
M.G.C. Resende},
title = {A {GRASP} for the biquadratic assignment problem},
journal = {European Journal of Operational Research},
volumne = {105},
year = {1998},
pages = {613--621},
URL = {http://www.research.att.com/~mgcr/doc/gbiqap.ps.Z}
}
@incollection{ParRes96,
author = {P.M. Pardalos and M.G.C. Resende},
title = {Interior point methods for global optimization},
booktitle = {Interior point methods in mathematical programming},
editor = {T. Terlaky},
publisher = {Kluwer Academic Publishers},
year = {1996},
pages = {467--500},
URL = {http://www.research.att.com/~mgcr/doc/ipgo.ps.Z}
}
@incollection{RamResRamPek96,
author = {K.G. Ramakrishnan and M.G.C. Resende and B. Ramachandran
and J.F. Pekny},
title = {Tight {QAP} bounds vias linear programming},
booktitle = {From local to global optimization},
editor = {A. Migdalas and P. M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1998},
note = {To appear},
URL = {http://www.research.att.com/~mgcr/doc/qaplp3rd.ps.Z}
}
@incollection{ResPitPar96,
author = {M.G.C. Resende and L.S. Pitsoulis and P.M. Pardalos},
title = {Approximate solution of weighted {MAX-SAT} problems using
{GRASP}},
booktitle = {Satisfiability Problem: Theory and Applications},
editor = {J. Gu and P.M. Pardalos},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
year = {1997},
pages = {393--405},
URL = {http://www.research.att.com/~mgcr/doc/gmaxsat.ps.Z}
}
@article{ParPitRes96,
author = {P. M. Pardalos and L. S. Pitsoulis and M. G. C. Resende},
title = {{A parallel GRASP for MAX-SAT problems}},
journal = {Lecture Notes in Computer Science},
volume = {1180},
pages = {575--585},
year = {1996},
URL = {http://www.research.att.com/~mgcr/doc/gpmaxsat.ps.Z}
}
@article{ResFeoSmi98,
author = {M. G. C. Resende and T. A. Feo and S. H. Smith},
title = {{Algorithm 786: FORTRAN subroutines for approximate solution
of maximum independent set problems using GRASP}},
journal = {ACM Transactions on Mathematical Software},
volume = {24},
number = {4},
pages = {386--394},
year = {1998},
URL = {http://www.research.att.com/~mgcr/doc/gmissubr.ps.Z}
}
@article{ParQiaRes98,
author = {P.M. Pardalos and T. Qian and
M.G.C. Resende},
title = {A greedy randomized adaptive search procedure for the
feedback vertex set problem},
journal = {Journal of Combinatorial Optimization},
year = {1998},
volume = {2},
number = {3},
note = {To appear},
URL = {http://www.research.att.com/~mgcr/doc/gfvs.ps.Z}
}
@article{RibRes98,
author = {C. C. Ribeiro and M. G. C. Resende},
title = {{FORTRAN subroutines for approximate solution of graph
planarization problems using GRASP}},
journal = {ACM Transactions on Mathematical Software},
note = {To appear},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/planarsubr.ps.Z}
}
@techreport{FosLeeResRes97,
author = {L. Fossett and D. N. Lee and L. I. P. Resende and
M. G. C. Resende},
title = {{A multicomodity flow approach to global facility planning}},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@techreport{Res97,
author = {M. G. C. Resende},
title = {{PoP placement to maximize coverage}},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@article{Res98,
author = {M. G. C. Resende},
title = {{Computing approximate solutions of the maximum covering
problem using GRASP}},
journal = {Journal of Heuristics},
volume = {4},
year = {1998},
URL = {http://www.research.att.com/~mgcr/doc/gmcov.ps.Z},
pages = {161--171}
}
@techreport{CacEtAl97,
author = {Caceres, R. and Cary-Brown, E. and Drucker, H. and
Duffield, N. and Eckberg, T. and Feldmann, A. and
Greer, R. and Friedmann, J. and Greenberg, A. and
Jagadish, H.V. and Lavelle, D. and Johnson, T. and
Mishra, P. and Mocenigo, J. and Ramakrishnan, K.K. and
Rao, B. and Resende, M.G.C. and Rexford, J. and
Sorensen, C.},
title = {{WINGS: WorldNet Information Gargantuan Store}},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@techreport{ResUlu97,
author = {M. G. C. Resende and O. Ulular},
title = {{SMART}: {A} tool for {AT\&T} {W}orld{N}et access design~--
{C}ascade 9000 {C}oncentrators},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@techreport{ResRes97,
author = {L. I. P. Resende and M. G. C. Resende},
title = {A {GRASP} for frame relay {PVC} routing},
institution = {Information Sciences Research Center,
AT\&T Labs Research},
address = {Florham Park, NJ},
year = {1997}
}
@inproceedings{PorResVeiJud97,
author = {L.F. Portugal and M.G.C. Resende and G. Veiga and
J.J. J\'udice},
title = {A truncated interior point method for the solution of
minimum cost flow problems on an undirected multicommodity
flow network},
booktitle = {Proceedings of {F}irst {P}ortuguese {N}ational
{T}elecommunications {C}onference},
year = {1997},
month = {April}
}
@incollection{MitParRes98,
author = {J. E. Mitchell and P. M. Pardalos and M. G. C. Resende},
title = {Interior point algorithms for combinatorial optimization},
booktitle = {Handbook of combinatorial optimization},
editor = {D.-Z. Du and P. M. Pardalos},
publisher = {Kluwer Academic Publishers},
volume = {1},
year = {1998},
pages = {189--298},
URL = {http://www.research.att.com/~mgcr/doc/ipmsuv.ps.Z}
}
@inproceedings{AbeParRes98a,
author = {J. Abello and P.M. Pardalos and M.G.C. Resende},
title = {On very large maximum clique problems},
booktitle = {Proceedings of Algorithms and Experiments ({ALEX98})},
editor = {R. Battiti and A. Bertossi},
pages = {175--183},
year = {1998},
URL = {http://www.research.att.com/~mgcr/doc/alex98.ps.Z} }
@incollection{ParRapRes98,
author = {P.M. Pardalos and J. Rappe and M.G.C. Resende},
title = {An exact parallel algorithm for the maximum clique problem},
booktitle = {High performance algorithms and software in
nonlinear optimization},
editor = {R. de~Leone and A. Murli and P.M. Pardalos and G. Toraldo},
publisher = {Kluwer Academic Publishers},
year = {1998},
pages = {279--300},
URL = {http://www.research.att.com/~mgcr/doc/parclq.ps.Z}
}
@article{ResPitPar98,
author = {M.G.C. Resende and L.S. Pitsoulis and P.M. Pardalos},
title = {{FORTRAN subroutines for computing approximate solutions
of weighted MAX-SAT problems using GRASP}},
journal = {Discrete Applied Mathematics},
year = {1999},
note = {To appear},
URL = {http://www.research.att.com/~mgcr/doc/gmsatsub.ps.Z}
}
@incollection{MarParResRib98a,
author = {S.L. Martins and P.M. Pardalos and M.G.C. Resende and
C.C. Ribeiro},
title = {Greedy randomized adaptive search procedures for the
{S}teiner problem in graphs},
booktitle = {Randomization methods in algorithm design},
editor = {P.M. Pardalos and S. Rajasekaran},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
volume = {43},
year = {1998},
pages = {133--145},
URL = {http://www.research.att.com/~mgcr/doc/gspg.ps.Z}
}
@article {MR1954024,
AUTHOR = {J{\'U}DICE, J.J. and PATRICIO, J. and PORTUGAL,
L.F. and RESENDE, M.G.C. and VEIGA, G.},
TITLE = {A study of preconditioners for network interior point
methods},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An
International
Journal},
VOLUME = {24},
YEAR = {2003},
NUMBER = {1},
PAGES = {5--35},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {90C51 (90B10)},
MRNUMBER = {1 954 024},
}
@article{PorResVeiJud94,
author = {L.F. Portugal and M.G.C. Resende and G. Veiga and
J.J. J\'udice},
title = {A truncated primal-infeasible dual-feasible
interior point network flow method},
journal = {Networks},
year = {To appear},
URL = {http://www.research.att.com/~mgcr/doc/pdnet.ps.Z}
}
@incollection{RibRes98a,
author = {C.C. Ribeiro and M.G.C. Resende},
title = {Graph planarization},
booktitle = {Encyclopedia of Optimization},
editor = {C. Floudas and P.M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/splanar.ps.Z},
note = {To appear}
}
@incollection{MurParRes98a,
author = {R.A. Murphey and P.M. Pardalos and M.G.C. Resende},
title = {Frequency assignment problems},
booktitle = {Handbook of combinatorial optimization},
editor = {D.-Z. Du and P. M. Pardalos},
publisher = {Kluwer Academic Publishers},
volume = {3},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/sfap.ps.Z},
note = {To appear}
}
@incollection{AbeParRes98b,
author = {J. Abello and P.M. Pardalos and M.G.C. Resende},
title = {On maximum clique problems in very large graphs},
booktitle = {External memory algorithms and visualization},
editor = {J. Abello and J. Vitter},
series = {{DIMACS} Series on Discrete Mathematics and Theoretical
Computer Science},
publisher = {American Mathematical Society},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/vlclq.ps.Z},
note = {To appear}
}
@incollection{Res98b,
author = {M.G.C. Resende},
title = {Greedy randomized adaptive search procedures ({GRASP})},
booktitle = {Encyclopedia of Optimization},
editor = {C. Floudas and P.M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/sgrasp.ps.Z},
note = {To appear}
}
@incollection{FesParRes99,
author = {P. Festa and P.M. Pardalos and M.G.C. Resende},
title = {Feedback set problems},
booktitle = {Handbook of combinatorial optimization},
editor = {D.-Z. Du and P. M. Pardalos},
publisher = {Kluwer Academic Publishers},
year = {1999},
URL = {http://www.research.att.com/~mgcr/doc/sfsp.ps},
note = {To appear}
}
.setcover.bib 0000640 0010230 0010230 00000016667 12346654604 014301 0 ustar hwolkowi hwolkowicz # This file contains bib entries related to set covering problems
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/setcover.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#
@article {ArFeStTe:69,
author = "J. ARABEYRE and J. FEARNLEY and F. STEIGER and
W. TEATHER",
title = "The airline crew scheduling problem: a survey",
journal = "Transportation Science",
year = "1969",
volume = "2",
pages = "140-163"}
@article {BaFi:81,
author = "E. BAKER and M. FISHER",
title = "Computational results for very large air crew
scheduling problems",
journal = "OMEGA",
year = "1981",
volume = "9(6)",
pages = "613-618"}
@article {Bal:77,
author = "E. BALAS",
title = "Some Valid Inequalities for the Set Partitioning
Problems",
journal = "Annals of Discrete Mathematics",
year = "1977",
volume = "1",
pages = "13-47"}
@article {BalPad:76,
author = "E. BALAS and M.W. PADBERG",
title = "Set Partitioning: A Survey",
journal = "SIAM Review",
year = "1976",
volume = "18",
pages = "710-760"}
@article {BarHul:90,
author = "J. BARUTT and T. HULL",
title = "Airline crew scheduling: aupercomputers and
algorithms",
journal = "SIAM News",
year = "1990",
volume = "23(6)" }
@TECHREPORT {ChuBea:95,
author = "P. C. CHU and J. E. BEASLEY",
title = "A Genetic Algorithm for the Set Partitioning
Problem",
INSTITUTION = "Imperial College",
YEAR = "1995",
note = "URL: http://mscmga.ms.ic.ac.uk/pchu/pchu.html",
ADDRESS = "The Management School, London, England" }
@ARTICLE {ChaYan:92,
author = "T. J. CHAN and C. A. YANO",
title = "A Multiplier Adjustment Approach for the Set
Partitioning
Problem",
journal = "Operations Research",
year = "1992",
volume = "40",
pages = "S40-S47"}
@phdthesis{pchin:95,
author="PAULINA CHIN",
title="Iterative Algorithm for Solving Linear Programming from
Engineering
Applications",
school="University of Waterloo",
year="1995"
}
@ARTICLE {ColPot:86,
author = "T.F. COLEMAN and A. POTHEN",
title = "The null space problem 1. complexity",
journal = "SIAM J. ALG. DISC. METH.",
year = "1986",
volume = "7",
pages = "527-537"}
@ARTICLE{FisKed:90,
AUTHOR = "M. L. FISHER and P. KEDIA",
TITLE = "Optimal Solution of Set Covering/Partitioning Problems
Using Dual Heuristics",
JOURNAL = ms,
VOLUME = 36,
YEAR = 1990,
PAGES = "674-688"
}
@article {GarNem:69,
author = "R.S. GARFINKEL and G.L. NEMHAUSER",
title = "The Set Partitioning Problem: Set Covering with
Equality Constraints",
journal = "Operations Research",
year = "1969",
volume = "17",
pages = "848-856"}
@ARTICLE {Ger:89,
author = "I. GERSHKOFF",
title ="Optimizaing flight crew schedules",
journal = "Interfaces",
volume = "19",
pages = "29-43",
year = "1989" }
@TECHREPORT {GroWoo:95,
author = "T. GROSSMAN and A. WOOL",
title = "Computational experience with approximation
algorithms for the set covering problem",
INSTITUTION = "Weizmann Institute",
YEAR = "1995",
note = "URL: http://www.wisdom.weizmann.ac.il/people/homepages/yash/home.html",
ADDRESS = "Dept. of Appl. Math. and C.S." }
%HHHHHHHHHHHHHHHHHHHHHHHHHHHH
@ARTICLE {HaBaJoMaNeSi:95,
author = "C.A. HANE and C. BARNHART and E.L. JOHNSON and
R.E. MARSTEN and G.L. NEMHAUSER and G. SIGISMONDI ",
title ="The fleet assignment problem: solving a
large-scale integer program",
journal = mprog,
volume = "70",
pages = "211-232",
year = "1995" }
@ARTICLE {HarTho:94,
author = "F. HARCHE and G.L. THOMPSON",
title ="The column subtraction algorithm: an exact method
for solving weighted set covering, packing and partitioning problems",
journal = "Computers \& operations Research",
volume = "21(6)",
pages = "689-705",
year = "1994" }
@ARTICLE {HofPad:92,
author = "K. L. HOFFMAN and M. PADBERG",
title ="Solving Large Set-Partitioning Problems with Side
Constraints",
journal = "ORSA/TIMS Joint National Meeting, San Francisco",
year = "November 2-4, 1992"}
@ARTICLE {HofPad:93,
author = "K. L. HOFFMAN and M. PADBERG",
title ="Solving airline crew-scheduling problems by
branch-and-cut",
journal = ms,
pages = "657-682",
volume = "6",
year = " 1993"}
@article {Mar:74,
author = "R.E. MARSTEN",
title = "An Algorithm for Large Set Partitioning Problems",
journal = ms,
year = "1974",
volume = "20",
pages = "774-787"}
@ARTICLE {NemWeb:79,
author = "G.L. NEMHAUSER and G. M. WEBER",
title = "Optimal Set Partitioning, Matchings and Lagrangean
Duality",
journal = "Naval Research Logistics Quarterly",
year = "1979",
volume = "26",
pages = "553-563"}
@ARTICLE {RyaFal:88,
author = "D.M. RYAN and J.C. FALKNER",
title = "On the integer properties of scheduling and set
partitioning models",
journal = "European Journal of Operational Research",
year = "1988",
volume = "35",
pages = "422-456"}
@TECHREPORT {SheLee:95,
author = "H.D. SHERALI and Y. LEE",
title = "Tighter representations for set
partitioning problems",
INSTITUTION = "Virginia Polytechnic Institute",
YEAR = "1995",
note = "URL: http://www.ise.vt.edu/ise/staff/listing/sherali.hanif.html",
ADDRESS = "Dept. of Ind. and Sys. Eng." }
@unpublished{wol:62,
author="P. WOLFE",
title="The reduced gradient method",
institution = "the RAND Corporation",
year = "1962",
note="Unpublished manuscript"
}
.sqp.bib 0000640 0010230 0010230 00000012615 12346654604 013237 0 ustar hwolkowi hwolkowicz # This file contains sequential quadratic programming bib entries
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/sqp.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
%AAAAAAAAAAAA
%BBBBBBBBBBBBBBBBBBBBBBBBBB
@TECHREPORT {ByrHriNoc:97,
author = "R.H. BYRD and M.B. HRIBAR and R.H. NOCEDAL",
title = "An Interior Point Algorithm for Large Scale
Nonlinear Programming",
institution = "Optimization Technology
Center, Northwestern University",
number = "Report OTC 97/02",
year = "1997",
address = "Evanston Il 60208"}
%FFFFFFFFFFFFFFFFFFFFFFFFFFff
@TECHREPORT {Fischer:97,
author = "A. FISCHER",
title = "Modified {W}ilson method for nonlinear programs
with nonunique multipliers",
institution = "Institute of Numerical Mathematics,
Technical University of Dresden",
year = "1997",
address = "Dresden, Germany"}
@TECHREPORT {FletLeyf:97,
author = "R. FLETCHER and S. LEYFFER",
title = "
NONLINEAR PROGRAMMING WITHOUT A PENALTY FUNCTION",
institution = "Department of Mathematics \& Computer
Science, University of Dundee",
year = "1997",
address = "Dundee, Scotland"}
@article {MR97g:65084,
AUTHOR = {FORSGREN, A.},
TITLE = {On linear least-squares problems with diagonally dominant
weight matrices},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {17},
YEAR = {1996},
NUMBER = {4},
PAGES = {763--788},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {65F20 (65F35 65K05)},
MRNUMBER = {97g:65084},
}
%GGGGGGGGGGGGGGGGGGGGGGGGGGGGG
@TECHREPORT {GillMurSaun:97,
author = "P. E. GILL, W. MURRAY and M. A. SAUNDERS",
title = "{SNOPT}: AN {SQP} ALGORITHM FOR LARGE-SCALE
CONSTRAINED OPTIMIZATION",
institution = "Department of Mathematics, UC San Diego",
year = "1997"}
@phdthesis{goldsmith:99,
author = "M.J. GOLDSMITH",
year = 1999,
title = "Sequential Quadratic Programming Methods Based on Indefinite
{H}essian Approximations",
school = "Department of Operations Research,
Stanford University, California",
URL= "http://keywest.stanford.edu/\~{ }mgold/abstract.html"
}
@TECHREPORT {LinMore:97,
author = "C. LIN and J. J. MOR\'{E}",
title = "Incomplete Cholesky Factorizations with Limited
Memory",
institution = "Mathematics and Computer Science Division,
Argonne National Laboratory",
year = "1997"}
@article {MR91c:90104,
AUTHOR = {SHANNO, D.F. and PHUA, K.H.},
TITLE = {Numerical experience with sequential quadratic programming
algorithms for equality constrained nonlinear programming},
JOURNAL = {ACM Trans. Math. Software},
FJOURNAL = {Association for Computing Machinery. Transactions on
Mathematical Software},
VOLUME = {15},
YEAR = {1989},
NUMBER = {1},
PAGES = {49--63},
ISSN = {0098-3500},
CODEN = {ACMSCU},
}
.stefan.bib 0000640 0010230 0010230 00000021455 14015727010 013701 0 ustar hwolkowi hwolkowicz # This file contains bib entries related to the quadratic assignment problem
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/qap.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
#
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
#######################################
#######################################
#######################################
#######################################
#######################################
#######################################
#######################################
####following entries are COPIES - can be ignored
@article{copy2ArmBuf63,
author = "Armour, G.C. and Buffa, E.S.",
title = "Heuristic algorithm and simulation approach to relative
location of facilities",
journal = ms,
volume = "9",
year = "1963",
pages = "294--309"
}
@conference{copy2BalMaz80,
author = "Balas, E. and Mazzola, J.B.",
title = "Quadratic 0-1 programming by a new linearization",
booktitle = "Proceedings of the TIMS/ORSA",
organization = "TIMS/ORSA",
address = "{Washington D.c.}",
month = "May",
year = "1980"
}
@book{copy2BrRy:91,
author = "Brualdi, R.A. and Ryser, H.J.",
title = "Combinatorial Matrix Theory",
publisher = "Cambridge University Press",
address = "New York",
year = "1991"
}
@inproceedings(copy2ipps97.qap,
author="Adrian Br{\"u}ngger and Ambros Marzetta and Jens Clausen and
Michael Perregaard",
title="Joining Forces in Solving Large-Scale Quadratic Assignment
Problems
in Parallel",
booktitle="Proceedings of the 11th International
Parallel Processing Symposium (IPPS'97)",
year="1997",
pages="418--427",
url="http://wwwjn.inf.ethz.ch/ambros/ipps97_qap_zram.ps.gz")
#######################################
#######################################
#######################################
#######################################
#######################################
#######################################
@article{AzeHir:2002,
title={Optimal {H}offman-type estimates in eigenvalue and semidefinite inequality constraints},
author={Az\'e, D. and Hiriart-Urruty, J.-B.},
journal={Journal of Global Optimization},
volume={24},
number={2},
pages={133--147},
year={2002},
publisher={Springer}
}
@article{Chua:2008,
title={Analyticity of weighted central paths and error bounds for semidefinite programming},
author={Chua, C. B.},
journal={Mathematical Programming},
volume={115},
number={2},
pages={239--271},
year={2008},
publisher={Springer}
}
@article{ErhRos:2013,
author = "Ehrhardt, T. and Rost, K.",
title = "Resultant matrices and inversion of {B}ezoutians",
journal = "Linear Algebra and Applications",
volume = "439",
number = "3",
year = "2013",
pages = "621--639"
}
@article{HeNg:2005,
author = "He, M. and Ng, M. K.",
title = "Toeplitz and positive semidefinite completion problem for cycle graph.",
journal = "Numer. Math. J. Chinese Univ. (English Ser.)",
volume = "14",
number = "1",
year = "2005",
pages = "67--78"
}
@article{JohLunNae:99,
title={Positive definite {T}oeplitz completions},
author={Johnson, C. R. and Lundquist, M. and N{\ae}vdal, G.},
journal={Journal of the London Mathematical Society},
volume={59},
number={2},
pages={507--520},
year={1999},
publisher={Cambridge University Press}
}
@article{KaiVieMor:78,
title={Inverses of {T}oeplitz operators, innovations, and orthogonal polynomials},
author={Kailath, T. and Vieira, A. and Morf, M.},
journal={SIAM review},
volume={20},
number={1},
pages={106--119},
year={1978},
publisher={SIAM}
}
@article{Lander:74,
author = "Lander, F.I.",
title = "The {B}ezoutian and the inversion of {H}ankel and {T}oeplitz matrices",
journal = "Mat. Issled.",
volume = "9",
number = "2",
year = "1974",
pages = "69--87"
}
@article{LiuPat:2015,
title={Exact duality in semidefinite programming based on elementary reformulations},
author={Liu, M. and Pataki, G.},
journal={SIAM Journal on Optimization},
volume={25},
number={3},
pages={1441--1454},
year={2015},
publisher={SIAM}
}
@article{Lourenco:2017,
title={Amenable cones: error bounds without constraint qualifications},
author={Louren{\c{c}}o, B. F.},
journal={arXiv preprint arXiv:1712.06221},
year={2017}
}
@article{LouMurTsu:2015,
title={Solving {SDP} completely with an interior point oracle},
author={Louren{\c{c}}o, B. F. and Muramatsu, M. and Tsuchiya, T.},
journal={arXiv preprint arXiv:1507.08065},
year={2015}
}
@article{LouMurTsu:2016,
title={A structural geometrical analysis of weakly infeasible {SDP}s},
author={Louren{\c{c}}o, B. F. and Muramatsu, M. and Tsuchiya, T.},
journal={Journal of the Operations Research Society of Japan},
volume={59},
number={3},
pages={241--257},
year={2016},
publisher={The Operations Research Society of Japan}
}
@article{LouMurTsu:2018,
title={Facial reduction and partial polyhedrality},
author={Louren{\c{c}}o, B. F. and Muramatsu, M. and Tsuchiya, T.},
journal={SIAM Journal on Optimization},
volume={28},
number={3},
pages={2304--2326},
year={2018},
publisher={SIAM}
}
@article{MohTer:2019,
title={On the identification of the optimal partition for semidefinite optimisation},
author={Mohammad-Nezhad, A. and Terlaky, T.},
journal={INFOR: Information Systems and Operational Research},
pages={1--39},
year={2019},
publisher={Taylor \& Francis}
}
@article{mosek,
title={{MOSEK} optimization toolbox for {MATLAB}},
author={ApS, Mosek},
journal={User's Guide and Reference Manual, version},
volume={4},
year={2019}
}
@article{Pataki:2017,
title={Bad semidefinite programs: they all look the same},
author={Pataki, G.},
journal={SIAM Journal on Optimization},
volume={27},
number={1},
pages={146--172},
year={2017},
publisher={SIAM}
}
@article{Pataki:2018,
title={On positive duality gaps in semidefinite programming},
author={Pataki, G.},
journal={arXiv preprint arXiv:1812.11796},
year={2018}
}
@article{PerFriAnd:2017,
title={Solving conic optimization problems via self-dual embedding and facial reduction: a unified approach},
author={Permenter, F. and Friberg, H. A. and Andersen, E. D.},
journal={SIAM Journal on Optimization},
volume={27},
number={3},
pages={1257--1282},
year={2017},
publisher={SIAM}
}
@Misc{stefanthesis,
author={{Sremac, S.}},
title={Error Bounds and Singularity Degree in Semidefinite Programming},
year={2020},
publisher="UWSpace",
url={http://hdl.handle.net/10012/15583}
}
@article{SreWanWol2019,
author="Sremac, S.
and Wang, F.
and Wolkowicz, H.
and Pettersson, L.",
title="Noisy Euclidean distance matrix completion with a single missing node",
journal="Journal of Global Optimization",
year="2019",
month="Aug",
day="26",
issn="1573-2916",
doi="10.1007/s10898-019-00825-7",
url="https://doi.org/10.1007/s10898-019-00825-7"
}
@article{SreWoeWol:2019,
title={Error bounds and singularity degree in semidefinite programming},
author={Sremac, S. and Woerdeman, H. J. and Wolkowicz, H.},
journal={arXiv preprint arXiv:1908.04357},
year={2019}
}
@article{TruTun:2004,
title={Geometry of homogeneous convex cones, duality mapping, and optimal self-concordant barriers.},
author={Truong, V. A. and Tun\c{c}el, L.},
journal={Mathematical Programming},
volume={100},
number={2},
year={2004}
}
@Article{ZhuPatTra:2019,
AUTHOR = {Zhu, Y. and Pataki, G. and Tran-Dinh, Q.},
TITLE = {Sieve-{SDP}: a simple facial reduction algorithm to preprocess
semidefinite programs},
JOURNAL = {Math. Program. Comput.},
FJOURNAL = {Mathematical Programming Computation},
VOLUME = {11},
YEAR = {2019},
NUMBER = {3},
PAGES = {503--586},
ISSN = {1867-2949},
MRCLASS = {90C22 (90C06 90C25)},
MRNUMBER = {3989325},
MRREVIEWER = {Mounir El Maghri},
DOI = {10.1007/s12532-019-00164-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s12532-019-00164-4},
}
.strings.bib 0000640 0010230 0010230 00000032543 12346654604 014127 0 ustar hwolkowi hwolkowicz # This file contains miscellaneous (mathematical) bib entries
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### I will also include these in the dedicated file .strings.bib
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
####
#### The string definitions are in this file .master.bib
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/master.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
###################################
###################################
###################################
####string definitions start - always in .master.bib file first.
#### i.e. changes are made in this file and copied to .strings.bib
#############
#############
########### definitions from Sturm start here
#### definitions are put at start - others follow below.
@STRING{ SV = "Springer-Verlag" }
@STRING{ MGH = "Mc{G}raw-Hill" }
@STRING{ W = "Wiley" }
@STRING{ JW = "John Wiley" }
@STRING{ WI = "Wiley-Interscience" }
@STRING{ PH = "Prentice-Hall" }
@STRING{ AW = "Addison-Wesley" }
@STRING{ PUP = "Princeton University Press" }
@STRING{ AP = "Academic Press" }
@STRING{ CUP = "Cambridge University Press" }
@STRING{ OUP = "Oxford University Press" }
@STRING{ ESP = "Elsevier Science Publisher B.V." }
@STRING{ KAP = "Kluwer Adademic Publishers" }
@STRING{ NY = "New York" }
@STRING{ B = "Berlin" }
@STRING{ NJ = "New Jersey" }
@STRING{ NH = "North-Holland" }
@STRING{ EIEUR = "Econometric Institute, Erasmus University Rotterdam" }
@STRING{ ROT = "Rotterdam, The Netherlands" }
@STRING{ S = "STURM, J.F."}
@STRING{ SZ = "STURM, J.F. and Zhang, S."}
@STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and ZHANG, S."}
@STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
#############################################
# The following is from V. Balakrishnan on SDP and systems control
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
#############################################
@string{
ijrnc=
{Int.\ J.\ Robust and Nonlinear Control}
}
@string{
acc=
{Proc.\ American Control Conf.}
}
@string{
aut=
{Automatica}
}
@string{
tcst=
{IEEE Trans.\ Control Sys.\ Tech.}
}
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{
ieep=
{IEE Proc.}
}
#############################################
#############################################
##from Bertsimis
#############################################
@string{ICTA = {IEE Proc. -Control Theory Appl.}}
@String{IROS="IEEE Int. Conf. on Intelligent Robot Systems"}
@String{ICRA="Proc. IEEE Int. Conf. on Robotics and Automation"}
@String{IJRR = {Int. J. of Robot. Res.}}
@String{ITSMC ={IEEE Trans. Syst., Man, Cybern.}}
@String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals -
#### changed in master.bib first
@string{toms = "ACM Transactions on Mathematical Software"}
@STRING{aer = "American Economic Review"}
@STRING{ajae = "Americal Journal of Agricultural Economics"}
@STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."}
@STRING{AMERlong = "The American Statistician"}
@STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"}
@string{adm = "Ann. Discrete Math."}
@string{ADMlong = "Annals of Discrete Mathematics"}
@STRING{ams = "Annals of Mathematical Statistics"}
@STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."}
@STRING{ APNUMlong = "Applied Numerical Mathematics"}
@string{bell = "The Bell System Technical Journal"}
@string{ coap = "Comput. Optim. Appl."}
@string{ coa = "Comput. Optim. Appl."}
@string{ COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"}
@string{cacm = "Communications of the ACM"}
@STRING{ cor = "Comput. Oper. Res." }
@STRING{ CORlong = "Computer and Operations Research" }
@string{comp = "Computing"}
STRING{ CRAS = "Compt Rend Acad. Sci." }
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@STRING{ C = "Cybernetics" }
@STRING{cmj = "Czechoslovak Math. J."}
@STRING{dam = "Discrete Applied Mathematics"}
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@STRING{ ECPE = "Eng. Costs and Prod. Econ." }
@string{electjc = "Electronic J. Combinatorics"}
@STRING{ejc = "European Journal of Combinatorics"}
@STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@string{jogo = "J. Global Optim."}
@string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"}
@STRING{ IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"}
@string{ijnme = "International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"}
@STRING{ JAMS = "J. Australian Math. Soc."}
@STRING{ JAMSlong = "J. of the Australian Mathematical Society"}
@string{ JCAM = {J. of Comput. Appl. Mathem.}}
@string{ JCAMlong = {J. of Computational and Applied Mathematics}}
@STRING{jacm = "J. Assoc. Comput. Mach."}
@STRING{JACMlong = "Journal of the Association of Computing Machinery"}
@string{jco = "J. Comb. Optim."}
@string{JCOlong = "Journal of Combinatorial Optimization"}
@STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"}
@STRING{joflong= "Journal of Finance"}
@STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and Applications"}
@STRING{ JORS = "J. Oper. Res. Soc." }
@STRING{ JRAM = "J. f{\"u}r die reine und angewandte {M}athematik"}
@STRING{ JRC = "J. of Regional Science" }
@string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and Applications"}
@STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of Standards"}
@STRING{jrssa = "Journal of the Royal Statistical Society: Series~A"}
@string{laa = "Linear Algebra Appl."}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"}
@STRING{ms = "Management Sci."}
@STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" }
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@STRING{mpa = "Math. Programming, Series A"}
@STRING{mps = "Math. Programming Studies"}
@STRING{mpb = "Math. Programming, Series B"}
@STRING{ MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."}
@STRING{ MORlong = "Mathematics of Operations Research" }
@STRING{mathz = "Math. Z."}
@STRING{ nrlq = "Naval Res. Logist. Quart." }
@STRING{ NRLQlong = "Naval Research Logistics Quarterly" }
@STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"}
@STRING{ OPTI = "Optimization" }
@string{ oms = "Optim. Methods Softw."}
@string{ OPSlong = "Optimization Methods and Software"}
@string{ornl = "Oak Ridge National Laboratory"}
@STRING{orl = "Operations Research Letters"}
@STRING{or = "Operations Research"}
@STRING{jorlong = "Journal of the Operations Research Society"}
@STRING{jor = "Oper. Res."}
@STRING{jors = "Oper. Res."}
@STRING{ ORQ = "Operations Research Quarterly" }
@STRING{pjm = "Pacific Journal of Mathematics"}
@string{pc = "Parallel Computing"}
@STRING{pams = "Proceedings of the American Mathematical Society"}
@STRING{rsue = "Regional Science and Urban Economics"}
@STRING{restud = "Review of Economics Studies"}
@STRING{ SIAM = "SIAM" }
@string{sijam = "SIAM J. Appl. Math."}
@string{SIJAMlong = "SIAM J. ON Applied Mathematics"}
@STRING{siad = "SIAM J. Algebraic Discrete Methods"}
@STRING{SIADlong = "SIAM Journal on Algebraic and Discrete Methods"}
@string{sdma = "SIAM J. Discrete Math."}
@string{SDMAlong = "SIAM Journal on Discrete Mathematics"}
@string{SIAGOPT = "SIAG/OPT Views-and-News"}
@STRING{ SRev = "SIAM Review" }
@STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." }
@STRING{ SJMA = "SIAM J. Math. Anal." }
@string{SJMAA = "SIAM J. Matrix Anal. Appl."}
@STRING{sijc = "SIAM J. on Computing"}
@STRING{SIJClong = "SIAM Journal on Computing"}
@string{sico = "SIAM J. Control Optim."}
@string{SICOlong = "SIAM J. on Control and Optimization"}
@string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and Applications"}
@string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."}
@STRING{SJNAlong = "SIAM J. on Numerical Analysis"}
@string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical Computing"}
@string{sir = "SIAM Review"}
### start strings from Goemans
@string{stoc95 = "Proc. of the 27th {ACM} Symp. on
Theory Comput."}
@string{stoc97 = "Proc. of the 29th {ACM} Symp. on
Theory Comput."}
@string{stoc98 = "Proc. of the 30th {ACM} Symp. on
Theory Comput."}
@string{stoc99 = "Proc. of the 31st {ACM} Symp. on
Theory Comput."}
@string{focs97 = "Proc. 38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on
Disc. Algs."}
### end strings from Goemans
@STRING{tr = "Transportation Research"}
@STRING{ts = "Transportation Science"}
@STRING{tams = "Transactions of the American Mathematical Society"}
@STRING{ TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."}
@STRING{UTILMATHlong = "Utilitas Mathematica"}
########################end of string definitions#########
.vavasis.bib 0000640 0010230 0010230 00000114744 13267752444 014122 0 ustar hwolkowi hwolkowicz # This file contains papers from Stephen Vavasis as of april/18
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
@article {MR3632262,
AUTHOR = {Karimi, S. and Vavasis, S.},
TITLE = {I{MRO}: a proximal quasi-{N}ewton method for solving
{$\ell_1$}-regularized least squares problems},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {27},
YEAR = {2017},
NUMBER = {2},
PAGES = {583--615},
ISSN = {1052-6234},
MRCLASS = {90C25 (49M15 49M37 65K05 90C30 90C53)},
MRNUMBER = {3632262},
MRREVIEWER = {\'Emilie Chouzenoux},
DOI = {10.1137/140966587},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/140966587},
}
@article {MR3452260,
AUTHOR = {Doan, Xuan Vinh and Vavasis, Stephen},
TITLE = {Finding the largest low-rank clusters with {K}y {F}an
{$2$}-{$k$}-norm and {$\ell_1$}-norm},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {26},
YEAR = {2016},
NUMBER = {1},
PAGES = {274--312},
ISSN = {1052-6234},
MRCLASS = {90C25 (15A23 15A60 15B48 15B52 62H30 90C22)},
MRNUMBER = {3452260},
MRREVIEWER = {Sorin-Mihai Grad},
DOI = {10.1137/140962097},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/140962097},
}
@article {MR3369491,
AUTHOR = {Drusvyatskiy, D. and Vavasis, S. A. and Wolkowicz, H.},
TITLE = {Extreme point inequalities and geometry of the rank
sparsity
ball},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {152},
YEAR = {2015},
NUMBER = {1-2, Ser. A},
PAGES = {521--544},
ISSN = {0025-5610},
MRCLASS = {90C25 (47N10 68P30)},
MRNUMBER = {3369491},
MRREVIEWER = {Elias Salom\~ao Helou},
DOI = {10.1007/s10107-014-0795-8},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-014-0795-8},
}
@article {MR3325760,
AUTHOR = {Gillis, Nicolas and Vavasis, Stephen A.},
TITLE = {Semidefinite programming based preconditioning for more
robust
near-separable nonnegative matrix factorization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {25},
YEAR = {2015},
NUMBER = {1},
PAGES = {677--698},
ISSN = {1052-6234},
MRCLASS = {90C22 (15A23 65F08 65K05)},
MRNUMBER = {3325760},
MRREVIEWER = {Hou-biao Li},
DOI = {10.1137/130940670},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/130940670},
}
@article {MR3152071,
AUTHOR = {Ames, Brendan P. W. and Vavasis, Stephen A.},
TITLE = {Convex optimization for the planted {$k$}-disjoint-clique
problem},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {143},
YEAR = {2014},
NUMBER = {1-2, Ser. A},
PAGES = {299--337},
ISSN = {0025-5610},
MRCLASS = {90C22 (62H30 68Q25 90C35)},
MRNUMBER = {3152071},
DOI = {10.1007/s10107-013-0733-1},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-013-0733-1},
}
@article {MR3138118,
AUTHOR = {Doan, Xuan Vinh and Vavasis, Stephen},
TITLE = {Finding approximately rank-one submatrices with the
nuclear
norm and {$\ell_1$}-norm},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {23},
YEAR = {2013},
NUMBER = {4},
PAGES = {2502--2540},
ISSN = {1052-6234},
MRCLASS = {90C25 (15A60)},
MRNUMBER = {3138118},
MRREVIEWER = {Morteza Seddighin},
DOI = {10.1137/100814251},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/100814251},
}
@article {MR3033059,
AUTHOR = {Doan, Xuan Vinh and Toh, Kim-Chuan and Vavasis, Stephen},
TITLE = {A proximal point algorithm for sequential feature
extraction
applications},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {35},
YEAR = {2013},
NUMBER = {1},
PAGES = {A517--A540},
ISSN = {1064-8275},
MRCLASS = {90C25 (65K10)},
MRNUMBER = {3033059},
MRREVIEWER = {Yonghong Yao},
DOI = {10.1137/110843381},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/110843381},
}
@article {MR2831403,
AUTHOR = {Ames, Brendan P. W. and Vavasis, Stephen A.},
TITLE = {Nuclear norm minimization for the planted clique and
biclique
problems},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming},
VOLUME = {129},
YEAR = {2011},
NUMBER = {1, Ser. B},
PAGES = {69--89},
ISSN = {0025-5610},
MRCLASS = {05C85 (05C69 68Q25 90C25)},
MRNUMBER = {2831403},
DOI = {10.1007/s10107-011-0459-x},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-011-0459-x},
}
@article {MR2783202,
AUTHOR = {Srijuntongsiri, Gun and Vavasis, Stephen A.},
TITLE = {A condition number analysis of an algorithm for solving a
system of polynomial equations with one degree of
freedom},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {33},
YEAR = {2011},
NUMBER = {1},
PAGES = {433--454},
ISSN = {1064-8275},
MRCLASS = {65H10},
MRNUMBER = {2783202},
MRREVIEWER = {Beny Neta},
DOI = {10.1137/090780547},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/090780547},
}
@article {MR2739469,
AUTHOR = {Shontz, Suzanne M. and Vavasis, Stephen A.},
TITLE = {Analysis of and workarounds for element reversal for a
finite
element-based algorithm for warping triangular and
tetrahedral
meshes},
JOURNAL = {BIT},
FJOURNAL = {BIT. Numerical Mathematics},
VOLUME = {50},
YEAR = {2010},
NUMBER = {4},
PAGES = {863--884},
ISSN = {0006-3835},
MRCLASS = {65N30 (65N50 74S05)},
MRNUMBER = {2739469},
MRREVIEWER = {Christos A. Xenophontos},
DOI = {10.1007/s10543-010-0283-3},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10543-010-0283-3},
}
@article {MR2587731,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {On the complexity of nonnegative matrix factorization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {20},
YEAR = {2009},
NUMBER = {3},
PAGES = {1364--1377},
ISSN = {1052-6234},
MRCLASS = {65F05 (15A23 15B48 68T05 90C26 90C60)},
MRNUMBER = {2587731},
MRREVIEWER = {Juan R. Torregrosa},
DOI = {10.1137/070709967},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/070709967},
}
@article {MR2448664,
AUTHOR = {Boman, Erik G. and Hendrickson, Bruce and Vavasis,
Stephen},
TITLE = {Solving elliptic finite element systems in near-linear
time
with support preconditioners},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {46},
YEAR = {2008},
NUMBER = {6},
PAGES = {3264--3284},
ISSN = {0036-1429},
MRCLASS = {65N30 (65N22)},
MRNUMBER = {2448664},
MRREVIEWER = {J\'anos Kar\'atson},
DOI = {10.1137/040611781},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/040611781},
}
@article {MR2385899,
AUTHOR = {Srijuntongsiri, Gun and Vavasis, Stephen A.},
TITLE = {A condition number analysis of a line-surface intersection
algorithm},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {30},
YEAR = {2008},
NUMBER = {2},
PAGES = {1064--1081},
ISSN = {1064-8275},
MRCLASS = {65D17 (49M15 65H10)},
MRNUMBER = {2385899},
MRREVIEWER = {Manfred Tasche},
DOI = {10.1137/060668043},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/060668043},
}
@article {MR2255469,
AUTHOR = {Ganguly, Pritam and Vavasis, Stephen A. and Papoulia,
Katerina
D.},
TITLE = {An algorithm for two-dimensional mesh generation based on
the
pinwheel tiling},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {28},
YEAR = {2006},
NUMBER = {4},
PAGES = {1533--1562},
ISSN = {1064-8275},
MRCLASS = {65D17 (52C23 68U05 74S05)},
MRNUMBER = {2255469},
MRREVIEWER = {Angela Kunoth},
DOI = {10.1137/040611343},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/040611343},
}
@article {MR2241009,
AUTHOR = {Papoulia, Katerina D. and Vavasis, Stephen A. and Ganguly,
Pritam},
TITLE = {Spatial convergence of crack nucleation using a cohesive
finite-element model on a pinwheel-based mesh},
JOURNAL = {Internat. J. Numer. Methods Engrg.},
FJOURNAL = {International Journal for Numerical Methods in
Engineering},
VOLUME = {67},
YEAR = {2006},
NUMBER = {1},
PAGES = {1--16},
ISSN = {0029-5981},
MRCLASS = {74S05 (74R10)},
MRNUMBER = {2241009},
DOI = {10.1002/nme.1598},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1002/nme.1598},
}
@article {MR2178216,
AUTHOR = {Howle, Victoria E. and Vavasis, Stephen A.},
TITLE = {An iterative method for solving complex-symmetric systems
arising in electrical power modeling},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {26},
YEAR = {2005},
NUMBER = {4},
PAGES = {1150--1178},
ISSN = {0895-4798},
MRCLASS = {65F10},
MRNUMBER = {2178216},
MRREVIEWER = {J\"org Liesen},
DOI = {10.1137/S0895479800370871},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0895479800370871},
}
@article {MR2085409,
AUTHOR = {J\'onsson, Gu#bj\"orn F. and Vavasis, Stephen A.},
TITLE = {Accurate solution of polynomial equations using {M}acaulay
resultant matrices},
JOURNAL = {Math. Comp.},
FJOURNAL = {Mathematics of Computation},
VOLUME = {74},
YEAR = {2005},
NUMBER = {249},
PAGES = {221--262},
ISSN = {0025-5718},
MRCLASS = {13P10 (65F15 68W30)},
MRNUMBER = {2085409},
MRREVIEWER = {Carlos D'Andrea},
DOI = {10.1090/S0025-5718-04-01722-3},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1090/S0025-5718-04-01722-3},
}
@article {MR2124155,
AUTHOR = {J\'onsson, Gudbj\"orn F. and Vavasis, Stephen},
TITLE = {Solving polynomials with small leading coefficients},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {26},
YEAR = {2004/05},
NUMBER = {2},
PAGES = {400--414},
ISSN = {0895-4798},
MRCLASS = {12Y05 (65F15 65H05)},
MRNUMBER = {2124155},
MRREVIEWER = {Gabriela Jeronimo},
DOI = {10.1137/S0895479899365720},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0895479899365720},
}
@article {MR1824063,
AUTHOR = {Bobrovnikova, Elena Y. and Vavasis, Stephen A.},
TITLE = {Accurate solution of weighted least squares by iterative
methods},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {22},
YEAR = {2001},
NUMBER = {4},
PAGES = {1153--1174},
ISSN = {0895-4798},
MRCLASS = {65F10 (15A06 15A12 65F35)},
MRNUMBER = {1824063},
MRREVIEWER = {Ilse C. F. Ipsen},
DOI = {10.1137/S0895479897316576},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0895479897316576},
}
@incollection {MR1748772,
AUTHOR = {Vavasis, Stephen A. and Ye, Yinyu},
TITLE = {A simplification to: ``{A} primal-dual interior point
method
whose running time depends only on the constraint matrix''
[{M}ath.\ {P}rogramming {\bf 74} (1996), no. 1, {S}er.
{A},
79--120; {MR}1402836 (97k:90063)]},
BOOKTITLE = {High performance optimization},
SERIES = {Appl. Optim.},
VOLUME = {33},
PAGES = {233--243},
PUBLISHER = {Kluwer Acad. Publ., Dordrecht},
YEAR = {2000},
MRCLASS = {90C05 (90C51)},
MRNUMBER = {1748772},
MRREVIEWER = {Henry Wolkowicz},
DOI = {10.1007/978-1-4757-3216-0_9},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4757-3216-0_9},
}
@article {MR1745138,
AUTHOR = {Mitchell, Scott A. and Vavasis, Stephen A.},
TITLE = {Quality mesh generation in higher dimensions},
JOURNAL = {SIAM J. Comput.},
FJOURNAL = {SIAM Journal on Computing},
VOLUME = {29},
YEAR = {2000},
NUMBER = {4},
PAGES = {1334--1370},
ISSN = {0097-5397},
MRCLASS = {65N50 (65D17)},
MRNUMBER = {1745138},
MRREVIEWER = {Dietrich Braess},
DOI = {10.1137/S0097539796314124},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0097539796314124},
}
@article {MR1741916,
AUTHOR = {Bobrovnikova, Elena Y. and Vavasis, Stephen A.},
TITLE = {A norm bound for projections with complex weights},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {307},
YEAR = {2000},
NUMBER = {1-3},
PAGES = {69--75},
ISSN = {0024-3795},
MRCLASS = {15A90},
MRNUMBER = {1741916},
DOI = {10.1016/S0024-3795(00)00017-3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0024-3795(00)00017-3},
}
@incollection {MR1797200,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Convex optimization},
BOOKTITLE = {Algorithms and theory of computation handbook},
PAGES = {33-1--33-34},
PUBLISHER = {CRC, Boca Raton, FL},
YEAR = {1999},
MRCLASS = {90C25},
MRNUMBER = {1797200},
}
@article {MR1638056,
AUTHOR = {Driscoll, Tobin A. and Vavasis, Stephen A.},
TITLE = {Numerical conformal mapping using cross-ratios and {D}elaunay
triangulation},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {19},
YEAR = {1998},
NUMBER = {6},
PAGES = {1783--1803},
ISSN = {1064-8275},
MRCLASS = {65E05 (30C30)},
MRNUMBER = {1638056},
DOI = {10.1137/S1064827596298580},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S1064827596298580},
}
@article {MR1618871,
AUTHOR = {Miller, Gary L. and Teng, Shang-Hua and Thurston, William and
Vavasis, Stephen A.},
TITLE = {Geometric separators for finite-element meshes},
JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
VOLUME = {19},
YEAR = {1998},
NUMBER = {2},
PAGES = {364--386},
ISSN = {1064-8275},
MRCLASS = {65Y25 (65M60 65N30)},
MRNUMBER = {1618871},
MRREVIEWER = {I. Norman Katz},
DOI = {10.1137/S1064827594262613},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S1064827594262613},
}
@article {MR1438463,
AUTHOR = {Miller, Gary L. and Teng, Shang-Hua and Thurston, William and
Vavasis, Stephen A.},
TITLE = {Separators for sphere-packings and nearest neighbor graphs},
JOURNAL = {J. ACM},
FJOURNAL = {Journal of the ACM},
VOLUME = {44},
YEAR = {1997},
NUMBER = {1},
PAGES = {1--29},
ISSN = {0004-5411},
MRCLASS = {52C17 (05C10 52B55 68U05)},
MRNUMBER = {1438463},
MRREVIEWER = {Rade \v Zivaljevi\'c},
DOI = {10.1145/256292.256294},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1145/256292.256294},
}
@article {MR1437337,
AUTHOR = {Hough, Patricia D. and Vavasis, Stephen A.},
TITLE = {Complete orthogonal decomposition for weighted least squares},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {18},
YEAR = {1997},
NUMBER = {2},
PAGES = {369--392},
ISSN = {0895-4798},
MRCLASS = {65F05 (65F25 65G05)},
MRNUMBER = {1437337},
MRREVIEWER = {Robert W. Owens},
DOI = {10.1137/S089547989528079X},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S089547989528079X},
}
@incollection {MR1421369,
AUTHOR = {Vavasis, Stephen A. and Ye, Yinyu},
TITLE = {On the relationship between layered least squares and affine
scaling steps},
BOOKTITLE = {The mathematics of numerical analysis ({P}ark {C}ity, {UT},
1995)},
SERIES = {Lectures in Appl. Math.},
VOLUME = {32},
PAGES = {857--865},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {1996},
MRCLASS = {90C05 (65K05)},
MRNUMBER = {1421369},
MRREVIEWER = {John J. Dinkel},
}
@article {MR1402836,
AUTHOR = {Vavasis, Stephen A. and Ye, Yinyu},
TITLE = {A primal-dual interior point method whose running time depends
only on the constraint matrix},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {74},
YEAR = {1996},
NUMBER = {1, Ser. A},
PAGES = {79--120},
ISSN = {0025-5610},
MRCLASS = {90C05 (90C60)},
MRNUMBER = {1402836},
MRREVIEWER = {F. Pickel},
DOI = {10.1016/0025-5610(95)00043-7},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0025-5610(95)00043-7},
}
@article {MR1393895,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Stable finite elements for problems with wild coefficients},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {33},
YEAR = {1996},
NUMBER = {3},
PAGES = {890--916},
ISSN = {0036-1429},
MRCLASS = {65L60 (65F05 65G05)},
MRNUMBER = {1393895},
MRREVIEWER = {I. Norman Katz},
DOI = {10.1137/0733045},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0733045},
}
@article {MR1389055,
AUTHOR = {Vavasis, Stephen A. and Ye, Yinyu},
TITLE = {Identifying an optimal basis in linear programming},
NOTE = {Interior point methods in mathematical programming},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {62},
YEAR = {1996},
PAGES = {565--572},
ISSN = {0254-5330},
MRCLASS = {90C05},
MRNUMBER = {1389055},
DOI = {10.1007/BF02206830},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF02206830},
}
@article {MR1554450,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Book review},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {6},
YEAR = {1995},
NUMBER = {1},
PAGES = {107--108},
ISSN = {0925-5001},
MRCLASS = {DML},
MRNUMBER = {1554450},
DOI = {10.1007/BF01106608},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01106608},
}
@incollection {MR1377083,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Complexity issues in global optimization: a survey},
BOOKTITLE = {Handbook of global optimization},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {2},
PAGES = {27--41},
PUBLISHER = {Kluwer Acad. Publ., Dordrecht},
YEAR = {1995},
MRCLASS = {90-02 (90C60)},
MRNUMBER = {1377083},
MRREVIEWER = {Klaus Meer},
DOI = {10.1007/978-1-4615-2025-2_2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4615-2025-2_2},
}
@article {MR1357077,
AUTHOR = {Vavasis, Stephen A. and Ye, Yinyu},
TITLE = {Condition numbers for polyhedra with real number data},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {17},
YEAR = {1995},
NUMBER = {5},
PAGES = {209--214},
ISSN = {0167-6377},
MRCLASS = {90C05 (90C08 90C60)},
MRNUMBER = {1357077},
DOI = {10.1016/0167-6377(95)00019-G},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0167-6377(95)00019-G},
}
@article {MR1554446,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Software section},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {5},
YEAR = {1994},
NUMBER = {2},
PAGES = {203--204},
ISSN = {0925-5001},
MRCLASS = {DML},
MRNUMBER = {1554446},
DOI = {10.1007/BF01100695},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01100695},
}
@article {MR1293907,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Stable numerical algorithms for equilibrium systems},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {15},
YEAR = {1994},
NUMBER = {4},
PAGES = {1108--1131},
ISSN = {0895-4798},
MRCLASS = {65F30},
MRNUMBER = {1293907},
MRREVIEWER = {Horst Hollatz},
DOI = {10.1137/S0895479892230948},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0895479892230948},
}
@incollection {MR1358858,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Polynomial time weak approximation algorithms for quadratic
programming},
BOOKTITLE = {Complexity in numerical optimization},
PAGES = {490--500},
PUBLISHER = {World Sci. Publ., River Edge, NJ},
YEAR = {1993},
MRCLASS = {90C20},
MRNUMBER = {1358858},
}
@incollection {MR1320298,
AUTHOR = {Miller, Gary L. and Teng, Shang-Hua and Thurston, William and
Vavasis, Stephen A.},
TITLE = {Automatic mesh partitioning},
BOOKTITLE = {Graph theory and sparse matrix computation},
SERIES = {IMA Vol. Math. Appl.},
VOLUME = {56},
PAGES = {57--84},
PUBLISHER = {Springer, New York},
YEAR = {1993},
MRCLASS = {68R10 (65Y10 68M10 68Q22)},
MRNUMBER = {1320298},
MRREVIEWER = {Patrick M. Knupp},
DOI = {10.1007/978-1-4613-8369-7_3},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4613-8369-7_3},
}
@article {MR1288241,
AUTHOR = {Stern, J. M. and Vavasis, S. A.},
TITLE = {Active set methods for problems in column block angular form},
JOURNAL = {Mat. Apl. Comput.},
FJOURNAL = {Sociedade Brasiliera de Matem\'atica Applicada e Computacional.
Matem\'atica Aplicada e Computacional. Computational and Applied
Mathematics},
VOLUME = {12},
YEAR = {1993},
NUMBER = {3},
PAGES = {199--226},
ISSN = {0101-8205},
MRCLASS = {90C05 (65K05)},
MRNUMBER = {1288241},
}
@article {MR1227778,
AUTHOR = {Stern, Julio M. and Vavasis, Stephen A.},
TITLE = {Nested dissection for sparse nullspace bases},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {14},
YEAR = {1993},
NUMBER = {3},
PAGES = {766--775},
ISSN = {0895-4798},
MRCLASS = {65F05 (65F50)},
MRNUMBER = {1227778},
DOI = {10.1137/0614054},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0614054},
}
@article {MR1202002,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Black-box complexity of local minimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {3},
YEAR = {1993},
NUMBER = {1},
PAGES = {60--80},
ISSN = {1052-6234},
MRCLASS = {90C60 (65K10 65Y20 68Q25 90C30)},
MRNUMBER = {1202002},
MRREVIEWER = {P. K. Subramanian},
DOI = {10.1137/0803004},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0803004},
}
@article {MR1195031,
AUTHOR = {Pardalos, Panos M. and Vavasis, Stephen A.},
TITLE = {Open questions in complexity theory for numerical
optimization},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {2, Ser. B},
PAGES = {337--339},
ISSN = {0025-5610},
MRCLASS = {90C60 (68Q25 90-06)},
MRNUMBER = {1195031},
DOI = {10.1007/BF01581088},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01581088},
}
@article {MR1195028,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Approximation algorithms for indefinite quadratic programming},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {2, Ser. B},
PAGES = {279--311},
ISSN = {0025-5610},
MRCLASS = {90C20 (90C26)},
MRNUMBER = {1195028},
MRREVIEWER = {K. Zimmermann},
DOI = {10.1007/BF01581085},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01581085},
}
@article {MR1168085,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Preconditioning for boundary integral equations},
NOTE = {Iterative methods in numerical linear algebra (Copper
Mountain, CO, 1990)},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {13},
YEAR = {1992},
NUMBER = {3},
PAGES = {905--925},
ISSN = {0895-4798},
MRCLASS = {65F10 (65F35 65N38 65R20 76M99)},
MRNUMBER = {1168085},
DOI = {10.1137/0613055},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0613055},
}
@article {MR1158817,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Local minima for indefinite quadratic knapsack problems},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {54},
YEAR = {1992},
NUMBER = {2, Ser. A},
PAGES = {127--153},
ISSN = {0025-5610},
MRCLASS = {90C20 (65K05 90C30)},
MRNUMBER = {1158817},
MRREVIEWER = {Guntram Scheithauer},
DOI = {10.1007/BF01586048},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01586048},
}
@incollection {MR1147433,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {On approximation algorithms for concave quadratic programming},
BOOKTITLE = {Recent advances in global optimization ({P}rinceton, {NJ},
1991)},
SERIES = {Princeton Ser. Comput. Sci.},
PAGES = {3--18},
PUBLISHER = {Princeton Univ. Press, Princeton, NJ},
YEAR = {1992},
MRCLASS = {90C20 (65K05)},
MRNUMBER = {1147433},
}
@book {MR1296253,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Nonlinear optimization},
SERIES = {International Series of Monographs on Computer Science},
VOLUME = {8},
NOTE = {Complexity issues},
PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
YEAR = {1991},
PAGES = {xiv+165},
ISBN = {0-19-507208-1},
MRCLASS = {90-02 (65K05 90C30)},
MRNUMBER = {1296253},
}
@article {MR1263835,
AUTHOR = {Pardalos, Panos M. and Vavasis, Stephen A.},
TITLE = {Quadratic programming with one negative eigenvalue is
{NP}-hard},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {1},
YEAR = {1991},
NUMBER = {1},
PAGES = {15--22},
ISSN = {0925-5001},
MRCLASS = {90C20 (68Q25)},
MRNUMBER = {1263835},
DOI = {10.1007/BF00120662},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF00120662},
}
@incollection {MR1177204,
AUTHOR = {Miller, Gary L. and Teng, Shang-Hua and Vavasis, Stephen A.},
TITLE = {A unified geometric approach to graph separators},
BOOKTITLE = {32nd {A}nnual {S}ymposium on {F}oundations of {C}omputer
{S}cience ({S}an {J}uan, {PR}, 1991)},
PAGES = {538--547},
PUBLISHER = {IEEE Comput. Soc. Press, Los Alamitos, CA},
YEAR = {1991},
MRCLASS = {05C85 (68Q25 68R10)},
MRNUMBER = {1177204},
DOI = {10.1109/SFCS.1991.185417},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1109/SFCS.1991.185417},
}
@article {MR1102417,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Automatic domain partitioning in three dimensions},
JOURNAL = {SIAM J. Sci. Statist. Comput.},
FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
Scientific and Statistical Computing},
VOLUME = {12},
YEAR = {1991},
NUMBER = {4},
PAGES = {950--970},
ISSN = {0196-5204},
MRCLASS = {65F50 (65Y10)},
MRNUMBER = {1102417},
MRREVIEWER = {W. C. Rheinboldt},
DOI = {10.1137/0912051},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0912051},
}
@inproceedings {MR1095849,
AUTHOR = {Miller, Gary L. and Vavasis, Stephen A.},
TITLE = {Density graphs and separators},
BOOKTITLE = {Proceedings of the {S}econd {A}nnual {ACM}-{SIAM} {S}ymposium
on {D}iscrete {A}lgorithms ({S}an {F}rancisco, {CA}, 1991)},
PAGES = {331--336},
PUBLISHER = {ACM, New York},
YEAR = {1991},
MRCLASS = {68R10 (05C85 65N30)},
MRNUMBER = {1095849},
}
@article {MR1092296,
AUTHOR = {Mor\'e, Jorge J. and Vavasis, Stephen A.},
TITLE = {On the solution of concave knapsack problems},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {49},
YEAR = {1990/91},
NUMBER = {3, (Ser. A)},
PAGES = {397--411},
ISSN = {0025-5610},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {1092296},
DOI = {10.1007/BF01588800},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01588800},
}
@article {MR1079809,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Quadratic programming is in {NP}},
JOURNAL = {Inform. Process. Lett.},
FJOURNAL = {Information Processing Letters},
VOLUME = {36},
YEAR = {1990},
NUMBER = {2},
PAGES = {73--77},
ISSN = {0020-0190},
MRCLASS = {68Q25 (90C20)},
MRNUMBER = {1079809},
MRREVIEWER = {P. K. Subramanian},
DOI = {10.1016/0020-0190(90)90100-C},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0020-0190(90)90100-C},
}
@article {MR1028904,
AUTHOR = {Hirsch, Michael D. and Papadimitriou, Christos H. and Vavasis,
Stephen A.},
TITLE = {Exponential lower bounds for finding {B}rouwer fixed points},
JOURNAL = {J. Complexity},
FJOURNAL = {Journal of Complexity},
VOLUME = {5},
YEAR = {1989},
NUMBER = {4},
PAGES = {379--416},
ISSN = {0885-064X},
MRCLASS = {90A14 (47H10 54H25 55M20 65H99 68Q25)},
MRNUMBER = {1028904},
MRREVIEWER = {Douglas S. Bridges},
DOI = {10.1016/0885-064X(89)90017-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0885-064X(89)90017-4},
}
@article {MR1002705,
AUTHOR = {Vavasis, Stephen A.},
TITLE = {Gaussian elimination with pivoting is {${\rm P}$}-complete},
JOURNAL = {SIAM J. Discrete Math.},
FJOURNAL = {SIAM Journal on Discrete Mathematics},
VOLUME = {2},
YEAR = {1989},
NUMBER = {3},
PAGES = {413--423},
ISSN = {0895-4801},
MRCLASS = {65F05 (65W05)},
MRNUMBER = {1002705},
DOI = {10.1137/0402037},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0402037},
}
@inproceedings{Gleich:2015:ULS:2783258.2783376,
author = {Gleich, D.F. and Mahoney, M.W.},
title = {Using Local Spectral Methods to Robustify Graph-Based Learning Algorithms},
booktitle = {Proceedings of the 21th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining},
series = {KDD '15},
year = {2015},
isbn = {978-1-4503-3664-2},
location = {Sydney, NSW, Australia},
pages = {359--368},
numpages = {10},
url = {http://doi.acm.org/10.1145/2783258.2783376},
doi = {10.1145/2783258.2783376},
acmid = {2783376},
publisher = {ACM},
address = {New York, NY, USA},
keywords = {clustering, diffusions, robustifying, semi-supervised learning},
}
@inproceedings{Boutsidis:2009:IAA:1496770.1496875,
author = {Boutsidis, C. and Mahoney, M.W. and Drineas, P.},
title = {An Improved Approximation Algorithm for the Column Subset Selection Problem},
booktitle = {Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms},
series = {SODA '09},
year = {2009},
location = {New York, New York},
pages = {968--977},
numpages = {10},
url = {http://dl.acm.org/citation.cfm?id=1496770.1496875},
acmid = {1496875},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@Article{Fountoulakis2017,
author="Fountoulakis, K.
and Roosta-Khorasani, F.
and Shun, J.
and Cheng, X.
and Mahoney, M.W.",
title="Variational perspective on local graph clustering",
journal="Mathematical Programming",
year="2017",
month="Dec",
day="02",
abstract="Modern graph clustering applications require the analysis of large graphs and this can be computationally expensive. In this regard, local spectral graph clustering methods aim to identify well-connected clusters around a given ``seed set'' of reference nodes without accessing the entire graph. The celebrated Approximate Personalized PageRank (APPR) algorithm in the seminal paper by Andersen et al. (in: FOCS '06 proceedings of the 47th annual IEEE symposium on foundations of computer science, pp 475--486, 2006) is one such method. APPR was introduced and motivated purely from an algorithmic perspective. In other words, there is no a priori notion of objective function/optimality conditions that characterizes the steps taken by APPR. Here, we derive a novel variational formulation which makes explicit the actual optimization problem solved by APPR. In doing so, we draw connections between the local spectral algorithm of Andersen et al. (2006) and an iterative shrinkage-thresholding algorithm (ISTA). In particular, we show that, appropriately initialized ISTA applied to our variational formulation can recover the sought-after local cluster in a time that only depends on the number of non-zeros of the optimal solution instead of the entire graph. In the process, we show that an optimization algorithm which apparently requires accessing the entire graph, can be made to behave in a completely local manner by accessing only a small number of nodes. This viewpoint builds a bridge across two seemingly disjoint fields of graph processing and numerical optimization, and it allows one to leverage well-studied, numerically robust, and efficient optimization algorithms for processing today's large graphs.",
issn="1436-4646",
doi="10.1007/s10107-017-1214-8",
url="https://doi.org/10.1007/s10107-017-1214-8"
}
@unpublished{Freund2015,
title = "A new perspective on boosting in linear regression via subgradient optimization and relatives",
author = "R.M. Freund and P. Grigas and R. Mazumder",
note = {\url{https://arxiv.org/abs/1505.04243}},
year = 2015}
@unpublished{BAA,
title = "Broad Area Announcement {BAA-AFRL-AFOSR-2016-0007 Amendment 7}",
author = "{AFOSR}",
year = 2017}
@unpublished{Elkin,
title = "Convex relaxation for finding planted influential nodes
in a social network",
author = "L. Elkin and T.K. Pong and S.A. Vavasis",
note = {\url{https://arxiv.org/abs/1307.4047}},
year = 2013}
@article{bourdin,
journal = "J. Elasticity",
year = 2008,
volume = 91,
pages = "5-148",
title = "The Variational Approach to Fracture",
author = "B. Bourdin and G.A. Francfort and J.-J. Marigo"}
@article{optiIJF,
author = "K.D. Papoulia",
title = "Non-differentiable energy minimization for cohesive fracture",
year=2017,
journal="Int. J. Fracture",
volume = 204,
pages ="143-158"
}
@unpublished{KarimiVavasis2017b,
title = {A single potential governing convergence of conjugate gradient, accelerated gradient and geometric descent},
author = {S. Karimi and S.A. Vavasis},
year = 2017,
note = {\url{https://arxiv.org/abs/1712.09498}}}
@article{KarimiVavasis,
author = "S. Karimi and S.A. Vavasis",
title = {{IMRO}: A Proximal Quasi-{N}ewton Method for Solving $\ell_1$-Regularized Least Squares Problems},
year = 2017,
journal = "SIAM J. Optimiz",
volume = 27,
pages = "583-615"}
@unpublished{Yurtsever,
author = {A. Yurtsever and M. Udell and J.A. Tropp and V. Cevher},
title = {Sketchy Decisions: Convex Low-Rank Matrix Optimization with Optimal Storage},
note = {\url{https://arxiv.org/abs/1702.06838}},
year = 2017}
@unpublished{bubeck,
title = "A geometric alternative
to {N}esterov's
accelerated gradient
descent",
author = "Bubeck, S. and
Lee, Y.T. and Singh, M.",
year = 2015,
note = {\url{http://arxiv.org/abs/1506.08187}}}
@article{Nesterov:k2,
author = "Y. Nesterov",
title = {A method for unconstrained convex minimization problem with the
rate of convergence {$O(1/k^2)$}},
journal = "Doklady AN SSSR
(translated as Soviet Math. Dokl.)",
year = 1983,
volume = 269,
number = 3,
pages = "543-547"}
.weames.bib 0000640 0010230 0010230 00000020456 14537632731 013720 0 ustar hwolkowi hwolkowicz %%% References for Semismooth Newton Method with Henry, Yair, and Walaa.
%%% References for 2023 Master's thesis
%%% Original Semismooth definition Mifflin
@article{Mi76,
author = {Mifflin, R.},
title = {Semismooth and Semiconvex Functions in Constrained Optimization},
journal = {SIAM Journal on Control and Optimization},
volume = {15},
number = {6},
pages = {959-972},
year = {1977}
}
%%% Geometric Measure Theorey Book that defines Rademacher's Theorem
@book{Fe14,
title={Geometric Measure Theory},
author={Federer, H.},
isbn={9783642620102},
year={2014},
publisher={Springer Berlin Heidelberg}
}
%% Walaa and Bauschke on projecting onto the intersection of a closed affine subspace
@article{BaMaoMo22,
title = {How to project onto the intersection of a closed affine subspace and a hyperplane},
author = {Bauschke, H.H. and Mao, D. and Moursi, W.M.},
publisher = {arXiv},
year = {2022},
copyright = {Creative Commons Attribution Non Commercial Share Alike 4.0 International}
}
%% Bauschke on HLWB sufficient conditions for convergence
@article{Ba96,
title={The Approximation of Fixed Points of Compositions of Nonexpansive Mappings in Hilbert Space},
author={Bauschke, H.H.},
journal={Journal of Mathematical Analysis and Applications},
year={1996},
volume={202},
pages={150-159}
}
%%% Inexact Gauss-Newton Method
@article{BaoYuWaHuYao19,
author = {Bao, J. and Yu, C. and Wang, J. and Hu, Y. and Yao, J.-C.},
year = {2019},
month = {11},
title = {Modified inexact Levenberg–Marquardt methods for solving nonlinear least squares problems},
volume = {74},
journal = {Computational Optimization and Applications},
doi = {10.1007/s10589-019-00111-y}
}
%%% Bertsimas book on Linear Optimization
@book{BeTs97,
title={Introduction to Linear Optimization},
author={Bertsimas, D. and Tsitsiklis, J.N.},
isbn={9781886529199},
lccn={96078786},
series={Athena Scientific books},
url={https://books.google.ca/books?id=GAFsQgAACAAJ},
year={1997},
publisher={Athena Scientific}
}
%%% Nocedal and Wright Numerical Optimization Book
@book{NoWr06,
author = {Nocedal, J. and Wright, S.J.},
publisher = {Springer},
title = {Numerical Optimization},
year = {2006},
address = {New York, NY, USA},
edition = {2e},
}
%%% Henry's Handbook on Semidefinite Programming
@book{WoSaVa12,
title={Handbook of semidefinite programming: theory, algorithms, and applications},
author={Wolkowicz, H. and Saigal, R. and Vandenberghe, L.},
volume={27},
year={2012},
publisher={Springer Science \& Business Media}
}
%%% Henry's (book?) on degeneracy in conic optimization
@book{DrWo17,
title={The many faces of degeneracy in conic optimization},
author={Drusvyatskiy, D. and Wolkowicz, H.},
year={2017},
eprint={1706.03705},
archivePrefix={arXiv},
primaryClass={math.OC}
}
%%% Book on Time Complexity
@book{Si13,
author = {Sipser, M.},
address = {Boston, MA},
edition = {Third},
isbn = {113318779X},
publisher = {Course Technology},
title = {Introduction to the Theory of Computation},
year = 2013
}
%%% Book on Primal-Dual Interior Point Methods
@book{Wr97,
author = {Wright, S.J.},
title = {Primal-Dual Interior-Point Methods},
publisher = {Society for Industrial and Applied Mathematics},
year = {1997},
doi = {10.1137/1.9781611971453},
address = {},
edition = {},
URL = {https://epubs.siam.org/doi/abs/10.1137/1.9781611971453},
eprint = {https://epubs.siam.org/doi/pdf/10.1137/1.9781611971453}
}
%%% Khachiyan's paper on ellipsoid methods
@article{Kh79,
author = {Khachiyan, L.G.},
title = {Polynomial algorithms in linear programming},
journal = {USSR Computational Mathematics and Mathematical Physics},
volume = {20},
number = {1},
pages = {53-72},
year = {1980},
issn = {0041-5553},
doi = {https://doi.org/10.1016/0041-5553(80)90061-0},
url = {https://www.sciencedirect.com/science/article/pii/0041555380900610}
}
@article{SmWo86,
title={A nonlinear equation for linear programming},
author={Smith, P.W. and Wolkowicz, H.},
journal={Mathematical programming},
volume={34},
number={2},
pages={235--238},
year={1986},
publisher={Springer}
}
@article{XiGaHoVa00,
author = {Xiao, Y. and Galvin, J. and Hossain, M. and Valicenti, R.},
title = {An optimized forward-planning technique for intensity modulated radiation therapy},
journal = {Medical Physics},
volume = {27},
number = {9},
pages = {2093-2099},
year = {2000}
}
@article{BaBo96,
author = {Bauschke, H.H. and Borwein, J.M.},
title = {On Projection Algorithms for Solving Convex Feasibility Problems},
journal = {SIAM Review},
volume = {38},
number = {3},
pages = {367-426},
year = {1996}
}
@article{BaKo2013,
author = {Bauschke, H. and Koch, V.},
year = {2013},
month = {1},
title = {Projection Methods: Swiss Army Knives for Solving Feasibility and Best
Approximation Problems with Halfspaces},
}
@article{BeHaLu17,
title = {Best practices for comparing optimization algorithms},
author = {Beiranvand, V. and Hare, W. and Lucet, Y.},
year = 2017,
publisher = {Springer Science and Business Media {LLC}},
volume = {18},
number = {4},
pages = {815--848},
journal = {Optimization and Engineering}
}
@article{KlMi72,
title={How good is the simplex algorithm},
author={Klee, V. and Minty, G.J.},
journal={Inequalities},
volume={3},
number={3},
pages={159--175},
year={1972},
publisher={New York}
}
@book{Sc98,
title={Theory of linear and integer programming},
author={Schrijver, A.},
year={1998},
publisher={John Wiley \& Sons}
}
@book{Bo12,
title={The simplex method: a probabilistic analysis},
author={Borgwardt, K.H.},
volume={1},
year={2012},
publisher={Springer Science \& Business Media}
}
@article{Sh77,
title={Cut-off method with space extension in convex programming problems},
author={Shor, N.Z.},
journal={Cybernetics},
volume={13},
number={1},
pages={94--96},
year={1977},
publisher={Springer}
}
@article{YuNe76,
title={Informational complexity and efficient methods for the solution of convex extremal problems},
author={Yudin, D.B. and Nemirovskii, A.S.},
journal={Matekon},
volume={13},
number={2},
pages={22--45},
year={1976}
}
@article{Ka84,
title={A new polynomial-time algorithm for linear programming},
author={Karmarkar, N.},
pages={373--395},
year={1984},
journal={Combinatorica},
volume={4}
}
@article{LiSuTo18,
author = {Li, X. and Sun, D. and Toh, K.-C.},
title = {QSDPNAL: a two-phase augmented Lagrangian method for convex quadratic semidefinite programming},
year = {2018},
issue_date = {September 2022},
publisher = {Springer},
address = {New York, NY, USA},
volume = {10},
number = {4},
pages={703--743},
journal={Mathematical Programming Computation}
}
@article{TeZh93,
author={Terlaky, T. and Zhang, S.},
title={Pivot rules for linear programming: a survey on recent theoretical developments},
journal={Annals of operations research},
volume={46},
pages={203--233},
year={1993},
publisher={Springer}
}
@article{DaWo60,
author = {Dantzig, G.B. and Wolfe, P.},
journal = {Operations Research},
number = {1},
pages = {101--111},
publisher = {INFORMS},
title = {Decomposition Principle for Linear Programs},
volume = {8},
year = {1960}
}
@article{GuEis96,
author = {Gu, M. and Eisenstat, S.C.},
title = {Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization},
journal = {SIAM Journal on Scientific Computing},
volume = {17},
number = {4},
pages = {848-869},
year = {1996},
doi = {10.1137/0917055},
}
@misc{CeMoWeWo23,
title={Regularized Nonsmooth Newton Algorithms for Best Approximation},
author={Censor, Y. and Moursi, W.M. and Weames, T. and Wolkowicz, H.},
year={2023}
}
@article{DeWo93,
author = {Dennis, Jr., J. E. and Wolkowicz, H.},
title = {Sizing and Least-Change Secant Methods},
journal = {SIAM Journal on Numerical Analysis},
volume = {30},
number = {5},
pages = {1291-1314},
year = {1993},
doi = {10.1137/0730067},
URL = { https://doi.org/10.1137/0730067},
eprint = { https://doi.org/10.1137/0730067}
}
@article{QiSu93,
title={A nonsmooth version of {N}ewton's method},
author={Qi, L. and Sun, J.},
journal={Mathematical programming},
volume={58},
number={1-3},
pages={353--367},
year={1993},
publisher={Springer}
}
@book{FaPa03,
title={Finite-dimensional variational inequalities and complementarity problems},
author={Facchinei, Francisco and Pang, Jong-Shi},
year={2003},
publisher={Springer},
volume = {2}
}
}
.weamescopysept12.bib 0000640 0010230 0010230 00000004434 14307622225 015640 0 ustar hwolkowi hwolkowicz %%% References for Semismooth Newton Method with Henry, Yair, and Walaa.
%%% Clarks Book on Nonsmooth Analysis
@book{1990_Cl,
title={Optimization and nonsmooth analysis},
author={Clarke, Frank H},
year={1990},
publisher={SIAM}
}
%%% Original Semismooth definition Mifflin
@article{1976_Mi,
author = {Mifflin, R.},
title = {Semismooth and Semiconvex Functions in Constrained Optimization},
journal = {SIAM Journal on Control and Optimization},
volume = {15},
number = {6},
pages = {959-972},
year = {1977}
}
%%% Original Rademacher theorem
@article{1919_Ra,
title = {Über partielle und totale differenzierbarkeit von Funktionen mehrerer Variabeln und über die Transformation der Doppelintegrale},
author = {Rademacher, H.},
title = {Über partielle und totale differenzierbarkeit von Funktionen mehrerer Variabeln und über die Transformation der Doppelintegrale},
journal = {Mathematische Annalen},
year = {1919},
volume ={79},
pages = {340-359}
}
%%% Geometric Measure Theorey Book that defines Rademacher's Theorem
@book{2014_Fe,
title={Geometric Measure Theory},
author={Federer, H.},
isbn={9783642620102},
year={2014},
publisher={Springer Berlin Heidelberg}
}
%% Walaa and Bauschke on projecting onto the intersection of a closed affine subspace
@techreport{2022_BaMaoMo,
author = {Bauschke, H.H. and Mao, D. and Moursi, W.M.},
title = {How to project onto the intersection of a closed affine subspace and a hyperplane},
publisher = {arXiv},
year = {2022},
copyright = {Creative Commons Attribution Non Commercial Share Alike 4.0 International}
}
%% Bauschke on HLWB sufficient conditions for convergence
@article{1996_Ba,
title={The Approximation of Fixed Points of Compositions of Nonexpansive Mappings in Hilbert Space},
author={H.H. Bauschke},
journal={Journal of Mathematical Analysis and Applications},
year={1996},
volume={202},
pages={150-159}
}
%% Inexact Gauss-Newton Method
@article{2019_BaoYuWaHuYao,
author = {Bao, J. and Yu, C. and Wang, J. and Hu, Y. and Yao, J-C.},
year = {2019},
month = {11},
title = {Modified inexact Levenberg–Marquardt methods for solving nonlinear least squares problems},
volume = {74},
journal = {Computational Optimization and Applications},
doi = {10.1007/s10589-019-00111-y}
}
.years9096publs.bib 0000640 0010230 0010230 00000033322 12346654604 015153 0 ustar hwolkowi hwolkowicz # This file contains personal publication bib entries (including
## student theses.
## The bib entries were taken from MathSci - FEb/12
## and deal with only years 1990-95
@article {MR1387330,
AUTHOR = {Helmberg, Christoph and Rendl, Franz and Vanderbei, Robert J.
and Wolkowicz, Henry},
TITLE = {An interior-point method for semidefinite programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {2},
PAGES = {342--361},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05 90C27)},
MRNUMBER = {1387330 (97f:90086)},
MRREVIEWER = {Tam{\'a}s Terlaky},
DOI = {10.1137/0806020},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0806020},
}
@article {MR1375607,
AUTHOR = {Wolkowicz, Henry},
TITLE = {Explicit solutions for interval semidefinite linear programs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {236},
YEAR = {1996},
PAGES = {95--104},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C26 (65G10 90C08)},
MRNUMBER = {1375607 (96m:90058)},
MRREVIEWER = {Florian Jarre},
DOI = {10.1016/0024-3795(94)00130-8},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(94)00130-8},
}
@incollection {MR1367976,
AUTHOR = {Helmberg, C. and Poljak, S. and Rendl, F. and Wolkowicz, H.},
TITLE = {Combining semidefinite and polyhedral relaxations for integer
programs},
BOOKTITLE = {Integer programming and combinatorial optimization
({C}openhagen, 1995)},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {920},
PAGES = {124--134},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1995},
MRCLASS = {90C10 (90C27)},
MRNUMBER = {1367976},
}
@article {MR1354768,
AUTHOR = {Poljak, Svatopluk and Wolkowicz, Henry},
TITLE = {Convex relaxations of {$(0,1)$}-quadratic programming},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {20},
YEAR = {1995},
NUMBER = {3},
PAGES = {550--561},
ISSN = {0364-765X},
MRCLASS = {90C09 (90C20)},
MRNUMBER = {1354768 (97b:90078)},
DOI = {10.1287/moor.20.3.550},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.20.3.550},
}
@article {MR1349612,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {A projection technique for partitioning the nodes of a graph},
NOTE = {Applied mathematical programming and modeling, II (APMOD 93)
(Budapest, 1993)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {58},
YEAR = {1995},
PAGES = {155--179},
ISSN = {0254-5330},
MRCLASS = {90C35 (05C99)},
MRNUMBER = {1349612 (96g:90096)},
MRREVIEWER = {Xueliang Li},
DOI = {10.1007/BF02032130},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF02032130},
}
@article {MR1342935,
AUTHOR = {Poljak, S. and Rendl, F. and Wolkowicz, H.},
TITLE = {A recipe for semidefinite relaxation for {$(0,1)$}-quadratic
programming},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {7},
YEAR = {1995},
NUMBER = {1},
PAGES = {51--73},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C09 (90C27)},
MRNUMBER = {1342935 (96d:90053)},
MRREVIEWER = {Paulo Barcia},
DOI = {10.1007/BF01100205},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01100205},
}
@article {MR1330199,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {Indefinite trust region subproblems and nonsymmetric
eigenvalue perturbations},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {2},
PAGES = {286--313},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C20 (65F15 65K05)},
MRNUMBER = {1330199 (96h:90077)},
MRREVIEWER = {Panos M. Pardalos},
DOI = {10.1137/0805016},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0805016},
}
@article {MR1315710,
AUTHOR = {Wolkowicz, Henry and Zhao, Qing},
TITLE = {An all-inclusive efficient region of updates for least change
secant methods},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {1},
PAGES = {172--191},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65K05)},
MRNUMBER = {1315710 (95k:90096)},
MRREVIEWER = {Bernd Luderer},
DOI = {10.1137/0805009},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0805009},
}
@article {MR1304626,
AUTHOR = {Wolkowicz, Henry},
TITLE = {Measures for symmetric rank-one updates},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {19},
YEAR = {1994},
NUMBER = {4},
PAGES = {815--830},
ISSN = {0364-765X},
MRCLASS = {90C30 (65F05 65K05)},
MRNUMBER = {1304626 (95h:90143)},
DOI = {10.1287/moor.19.4.815},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.19.4.815},
}
@article {MR1297064,
AUTHOR = {Falkner, Julie and Rendl, Franz and Wolkowicz, Henry},
TITLE = {A computational study of graph partitioning},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {66},
YEAR = {1994},
NUMBER = {2, Ser. A},
PAGES = {211--239},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
MRNUMBER = {1297064 (95h:90153)},
MRREVIEWER = {Yixun Lin},
DOI = {10.1007/BF01581147},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01581147},
}
@incollection {MR1290354,
AUTHOR = {Karisch, Stefan E. and Rendl, Franz and Wolkowicz, Henry},
TITLE = {Trust regions and relaxations for the quadratic assignment
problem},
BOOKTITLE = {Quadratic assignment and related problems ({N}ew {B}runswick,
{NJ}, 1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {16},
PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90C20 (90C27)},
MRNUMBER = {1290354 (95j:90053)},
MRREVIEWER = {Igor Litvinchev},
}
@incollection {MR1290345,
AUTHOR = {Pardalos, Panos M. and Rendl, Franz and Wolkowicz, Henry},
TITLE = {The quadratic assignment problem: a survey and recent
developments},
BOOKTITLE = {Quadratic assignment and related problems ({N}ew {B}runswick,
{NJ}, 1993)},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {16},
PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {90B80 (90C10 90C27)},
MRNUMBER = {1290345 (95f:90040)},
MRREVIEWER = {Horst W. Hamacher},
}
@article {MR1282693,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {Trust region problems and nonsymmetric eigenvalue
perturbations},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {15},
YEAR = {1994},
NUMBER = {3},
PAGES = {755--778},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A18 (15A42 49R05)},
MRNUMBER = {1282693 (95f:15009)},
MRREVIEWER = {Gerd M. Krause},
DOI = {10.1137/S0895479891199719},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/S0895479891199719},
}
@article {MR1239822,
AUTHOR = {Dennis, Jr., J. E. and Wolkowicz, H.},
TITLE = {Sizing and least-change secant methods},
JOURNAL = {SIAM J. Numer. Anal.},
FJOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {30},
YEAR = {1993},
NUMBER = {5},
PAGES = {1291--1314},
ISSN = {0036-1429},
CODEN = {SJNAAM},
MRCLASS = {90C30 (49M37 65K05)},
MRNUMBER = {1239822 (94g:90107)},
DOI = {10.1137/0730067},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0730067},
}
@article {MR1553028,
AUTHOR = {Wolkowicz, Henry},
TITLE = {Preface},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {1, Ser. B},
PAGES = {vii--ix},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {Contributed Item},
MRNUMBER = {1553028},
DOI = {10.1007/BF01581070},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01581070},
}
@article {MR1177733,
AUTHOR = {Hadley, S. W. and Rendl, F. and Wolkowicz, H.},
TITLE = {A new lower bound via projection for the quadratic assignment
problem},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {17},
YEAR = {1992},
NUMBER = {3},
PAGES = {727--739},
ISSN = {0364-765X},
MRCLASS = {90C27 (90C20)},
MRNUMBER = {1177733 (93i:90080)},
MRREVIEWER = {M. C. Puri},
DOI = {10.1287/moor.17.3.727},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.17.3.727},
}
@article {MR1167408,
AUTHOR = {Jeyakumar, V. and Wolkowicz, Henry},
TITLE = {Generalizations of {S}later's constraint qualification for
infinite convex programs},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {57},
YEAR = {1992},
NUMBER = {1, Ser. B},
PAGES = {85--101},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C48 (49N15 90C25)},
MRNUMBER = {1167408 (93e:90070)},
MRREVIEWER = {Doug Ward},
DOI = {10.1007/BF01581074},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01581074},
}
@article {MR1155441,
AUTHOR = {Hadley, S. W. and Rendl, F. and Wolkowicz, H.},
TITLE = {Symmetrization of nonsymmetric quadratic assignment problems
and the {H}offman-{W}ielandt inequality},
NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {167},
YEAR = {1992},
PAGES = {53--64},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (15A42 90B80)},
MRNUMBER = {1155441 (93d:90050)},
MRREVIEWER = {Rainer Burkard},
DOI = {10.1016/0024-3795(92)90338-B},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(92)90338-B},
}
@article {MR1151765,
AUTHOR = {Rendl, Franz and Wolkowicz, Henry},
TITLE = {Applications of parametric programming and eigenvalue
maximization to the quadratic assignment problem},
JOURNAL = {Math. Programming},
FJOURNAL = {Mathematical Programming},
VOLUME = {53},
YEAR = {1992},
NUMBER = {1, Ser. A},
PAGES = {63--78},
ISSN = {0025-5610},
CODEN = {MHPGA4},
MRCLASS = {90C35 (90C20 90C30)},
MRNUMBER = {1151765 (93c:90098)},
MRREVIEWER = {M. C. Puri},
DOI = {10.1007/BF01585694},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF01585694},
}
@inproceedings {MR1102058,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {Invariant ellipsoidal cones},
BOOKTITLE = {Proceedings of the {F}irst {C}onference of the {I}nternational
{L}inear {A}lgebra {S}ociety ({P}rovo, {UT}, 1989)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {150},
YEAR = {1991},
PAGES = {81--106},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {1102058 (92h:15014)},
MRREVIEWER = {Raphael Loewy},
DOI = {10.1016/0024-3795(91)90161-O},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(91)90161-O},
}
@article {MR1088661,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {A note on generalized invariant cones and the {K}ronecker
canonical form},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {147},
YEAR = {1991},
PAGES = {97--100},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A22 (15A18 15A48)},
MRNUMBER = {1088661 (92e:15018)},
DOI = {10.1016/0024-3795(91)90231-K},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(91)90231-K},
}
@article {MR1082333,
AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry},
TITLE = {Exponential nonnegativity on the ice cream cone},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {12},
YEAR = {1991},
NUMBER = {1},
PAGES = {160--165},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A48},
MRNUMBER = {1082333 (92j:15013)},
MRREVIEWER = {Raphael Loewy},
DOI = {10.1137/0612012},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/0612012},
}
@article {MR1080267,
AUTHOR = {Jeyakumar, V. and Wolkowicz, H.},
TITLE = {Zero duality gaps in infinite-dimensional programming},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {67},
YEAR = {1990},
NUMBER = {1},
PAGES = {87--108},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {49N15 (90C48)},
MRNUMBER = {1080267 (92a:49062)},
MRREVIEWER = {R. N. Kaul},
DOI = {10.1007/BF00939737},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/BF00939737},
}