# 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{WassersteinAlfakihetal:23,
title = "Exact solutions for the NP-hard {W}asserstein barycenter
problem using a doubly nonnegative relaxation and a splitting method",
author = "Abdo Alfakih and Jeffrey Cheng and Woosuk L. Jung and Walaa M.
Moursi and Henry Wolkowicz",
institution="University of Waterloo",
note = "25 pages, research report",
address = "Waterloo, Ontario",
year="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},
institution="University of Waterloo",
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},
institution="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",
booktitle = "The XIX Latin-Iberoamerican Conference on Operations Research,
CLAIO 2018",
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",
booktitle = "Proceedings of the workshop on Mixed-integer Nonlinear
Optimization: a hatchery for modern mathematics, Mathematisches
Forschungsinstitut",
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",
booktitle = "SYNASC2017,
International Symposium on Symbolic and Numeric Algorithms for
Scientific Computing",
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",
booktitle = "IEEE BIBM 2016",
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",
booktitle = "IEEE International Conference on Bioinformatics and
Biomedicine (BIBM), IEEE Xplore, January 19, 2017",
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)},
booktitle = {Workshop on Discrete Optimization, DO'99 (Piscataway, NJ)},
publisher = {ScienceDirect},
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},
volume = {2003},
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)},
booktitle = {Interior point methods (Budapest, 2000)},
publisher = {ScienceDirect},
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"
}