.alister.bib0000640001023000102300000000774413103415704014072 0ustar hwolkowihwolkowicz%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
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@article{birkhoff1946,
Author = {Birkhoff, Garrett},
Date-Added = {2016-08-13 01:40:54 +0000},
Date-Modified = {2016-08-13 01:41:03 +0000},
Journal = {Univ. Nac. Tucum{\'a}n. Revista A},
Pages = {147--151},
Title = {Three observations on linear algebra},
Volume = {5},
Year = {1946}}
@article{klerk2015,
Author = {de Klerk, E and Sotirov, R and Truetsch, U},
Date-Added = {2016-08-11 18:58:04 +0000},
Date-Modified = {2016-08-11 18:58:20 +0000},
Journal = {INFORMS Journal on Computing},
Number = {2},
Pages = {378--391},
Publisher = {INFORMS},
Title = {A new semidefinite programming relaxation for the quadratic assignment problem and its computational perspectives},
Volume = {27},
Year = {2015}}
@article{nyberg2012,
Author = {Nyberg, Axel and Westerlund, Tapio},
Date-Added = {2016-08-11 18:52:02 +0000},
Date-Modified = {2016-08-11 18:52:09 +0000},
Journal = {European Journal of Operational Research},
Number = {2},
Pages = {314--319},
Publisher = {Elsevier},
Title = {A new exact discrete linear reformulation of the quadratic assignment problem},
Volume = {220},
Year = {2012}}
@article{hann2001,
Author = {M HAHN, Peter and L HIGHTOWER, William and AnneJOHNSON, Terri and Guignard-Spielberg, Monique and Roucairol, Catherine and others},
Date-Added = {2016-08-11 04:51:10 +0000},
Date-Modified = {2016-08-11 04:51:28 +0000},
Journal = {Yugoslav Journal of Operations Research ISSN: 0354-0243 EISSN: 2334-6043},
Number = {1},
Title = {Tree elaboration strategies in branch-and-bound algorithms for solving the quadratic assignment problem},
Volume = {11},
Year = {2001}}
@article{mautor1994,
Author = {Mautor, Thierry and Roucairol, Catherine},
Date-Added = {2016-08-08 15:05:58 +0000},
Date-Modified = {2016-08-08 15:06:05 +0000},
Journal = {Discrete Applied Mathematics},
Number = {3},
Pages = {281--293},
Publisher = {Elsevier},
Title = {A new exact algorithm for the solution of quadratic assignment problems},
Volume = {55},
Year = {1994}}
@article{geof1972,
Author = {Geoffrion, Ao M and Marsten, Roy EARL},
Date-Added = {2016-07-31 22:10:41 +0000},
Date-Modified = {2016-07-31 22:10:55 +0000},
Journal = {Management Science},
Number = {9},
Pages = {465--491},
Publisher = {INFORMS},
Title = {Integer programming algorithms: A framework and state-of-the-art survey},
Volume = {18},
Year = {1972}}
@article{boyd2010,
Author = {Boyd, Stephen and Parikh, Neal and Chu, Eric and Peleato, Borja and Eckstein, Jonathan},
Date-Added = {2016-07-31 21:11:03 +0000},
Date-Modified = {2016-07-31 21:22:57 +0000},
Journal = {Foundations and Trends{\textregistered} in Machine Learning},
Number = {1},
Pages = {1--122},
Publisher = {Now Publishers Inc.},
Title = {Distributed optimization and statistical learning via the alternating direction method of multipliers},
Volume = {3},
Year = {2011}}
@book{burkard2009,
Author = {Burkard, Rainer E and Dell'Amico, Mauro and Martello, Silvano},
Date-Added = {2016-07-31 21:10:14 +0000},
Date-Modified = {2016-07-31 21:11:22 +0000},
Publisher = {Siam},
Title = {Assignment Problems, Revised Reprint},
Year = {2009}}
@book{brixius2000,
Author = {Brixius, Nathan William},
Date-Added = {2016-07-31 21:09:37 +0000},
Date-Modified = {2016-07-31 21:11:58 +0000},
Publisher = {The University of Iowa},
Title = {Solving large-scale quadratic assignment problems},
Year = {2000}}
@article{adams2007,
Author = {Adams, Warren P and Guignard, Monique and Hahn, Peter M and Hightower, William L},
Date-Added = {2016-07-31 21:08:57 +0000},
Date-Modified = {2016-07-31 21:13:32 +0000},
Journal = {European Journal of Operational Research},
Number = {3},
Pages = {983--996},
Publisher = {Elsevier},
Title = {A level-2 reformulation--linearization technique bound for the quadratic assignment problem},
Volume = {180},
Year = {2007}}
.bauschke.bib0000640001023000102300000003120614231107506014203 0ustar hwolkowihwolkowicz[Image] Navigate MathSciNet
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Selected Matches for: Author/Related=Bauschke, H*
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@article {MR1929033,
AUTHOR = {Bauschke, H.H.},
TITLE = {The composition of projections onto closed convex sets in
{H}ilbert space is asymptotically regular},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {131},
YEAR = {2003},
NUMBER = {1},
PAGES = {141--146 (electronic)},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {47Hxx (46C05 90C25)},
MRNUMBER = {1 929 033},
}
@article {MR1924766,
AUTHOR = {Bauschke, H.H. and Noll, D.},
TITLE = {The method of forward projections},
JOURNAL = {J. Nonlinear Convex Anal.},
FJOURNAL = {Journal of Nonlinear and Convex Analysis. An International
Journal},
VOLUME = {3},
YEAR = {2002},
NUMBER = {2},
PAGES = {191--205},
ISSN = {1345-4773},
MRCLASS = {90C25},
MRNUMBER = {1 924 766},
}
@article {MR1914365,
AUTHOR = {Bauschke, H.H. and Combettes, P.L. and Luke, D.R.},
TITLE = {Phase retrieval, error reduction algorithm, and {F}ienup
variants: a view from convex optimization},
JOURNAL = {J. Opt. Soc. Amer. A},
FJOURNAL = {Journal of the Optical Society of America A. Optics, Image
Science, and Vision},
VOLUME = {19},
YEAR = {2002},
NUMBER = {7},
PAGES = {1334--1345},
ISSN = {0740-3232},
CODEN = {JOAOD6},
MRCLASS = {94A12},
MRNUMBER = {1 914 365},
}
@article {MR1895827,
AUTHOR = {Bauschke, H.H. and Combettes, P.L.},
TITLE = {A weak-to-strong convergence principle for {F}ejer-monotone
methods in {H}ilbert spaces},
JOURNAL = {Math. Oper. Res.},
FJOURNAL = {Mathematics of Operations Research},
VOLUME = {26},
YEAR = {2001},
NUMBER = {2},
PAGES = {248--264},
ISSN = {0364-765X},
MRCLASS = {65J15 (47J25 90C48)},
MRNUMBER = {1 895 827},
}
@incollection {MR2003b:90129,
AUTHOR = {Bauschke, H.H. and Borwein, J.M.},
TITLE = {Joint and separate convexity of the {B}regman distance},
BOOKTITLE = {Inherently parallel algorithms in feasibility and optimization
and their applications (Haifa, 2000)},
SERIES = {Stud. Comput. Math.},
VOLUME = {8},
PAGES = {23--36},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {2001},
MRCLASS = {90C48 (49J53 65J05 90C30)},
MRNUMBER = {2003b:90129},
MRREVIEWER = {Simeon Reich},
}
@incollection {MR2003a:90086,
AUTHOR = {Bauschke, H.H.},
TITLE = {Projection algorithms: results and open problems},
BOOKTITLE = {Inherently parallel algorithms in feasibility and optimization
and their applications (Haifa, 2000)},
SERIES = {Stud. Comput. Math.},
VOLUME = {8},
PAGES = {11--22},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {2001},
MRCLASS = {90C48 (47H09 47N10 49J53 65J05 90C30)},
MRNUMBER = {2003a:90086},
MRREVIEWER = {Simeon Reich},
}
@article {MR2002k:49040,
AUTHOR = {Bauschke, H.H. and Borwein, J.M. and Combettes,
P.L.},
TITLE = {Essential smoothness, essential strict convexity, and
{L}egendre functions in {B}anach spaces},
JOURNAL = {Commun. Contemp. Math.},
FJOURNAL = {Communications in Contemporary Mathematics},
VOLUME = {3},
YEAR = {2001},
NUMBER = {4},
PAGES = {615--647},
ISSN = {0219-1997},
MRCLASS = {49J53 (46G05 46N10)},
MRNUMBER = {2002k:49040},
MRREVIEWER = {S. Simons},
}
@article {MR2002e:90062,
AUTHOR = {Bauschke, H.H. and Lewis, A.S.},
TITLE = {Dykstra's algorithm with {B}regman projections: a convergence
proof},
JOURNAL = {Optimization},
FJOURNAL = {Optimization. A Journal of Mathematical Programming and
Operations Research},
VOLUME = {48},
YEAR = {2000},
NUMBER = {4},
PAGES = {409--427},
ISSN = {0233-1934},
MRCLASS = {90C25 (65K10)},
MRNUMBER = {2002e:90062},
}
@article {MR2002d:90113,
AUTHOR = {Bauschke, H.H. and Borwein, J.M. and Tseng, Paul},
TITLE = {Bounded linear regularity, strong {CHIP}, and {CHIP} are
distinct properties},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {7},
YEAR = {2000},
NUMBER = {2},
PAGES = {395--412},
ISSN = {0944-6532},
MRCLASS = {90C48 (41A65 49J53 52A15 52A20)},
MRNUMBER = {2002d:90113},
MRREVIEWER = {Wu Li},
}
@article {MR2002c:90099,
AUTHOR = {Bauschke, H.H. and G{\"u}ler, O. and Lewis, A.S.
and Sendov, Hristo S.},
TITLE = {Hyperbolic polynomials and convex analysis},
JOURNAL = {Canad. J.M.th.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {53},
YEAR = {2001},
NUMBER = {3},
PAGES = {470--488},
ISSN = {0008-414X},
CODEN = {CJMAAB},
MRCLASS = {90C46 (15A45 52A41)},
MRNUMBER = {2002c:90099},
MRREVIEWER = {Vaithilingam Jeyakumar},
}
@article {MR2001j:47059,
AUTHOR = {Bauschke, H.H. and Borwein, J.M.},
TITLE = {Maximal monotonicity of dense type, local maximal
monotonicity, and monotonicity of the conjugate are all the
same for continuous linear operators},
JOURNAL = {Pacific J.M.th.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {189},
YEAR = {1999},
NUMBER = {1},
PAGES = {1--20},
ISSN = {0030-8730},
CODEN = {PJMAAI},
MRCLASS = {47H05 (47B99 49J52)},
MRNUMBER = {2001j:47059},
MRREVIEWER = {Pando Georgiev},
}
@incollection {MR2001f:65065,
AUTHOR = {Bauschke, H.H. and Deutsch, Frank and Hundal, Hein and
Park, Sung-Ho},
TITLE = {Fej\'er monotonicity and weak convergence of an accelerated
method of projections},
BOOKTITLE = {Constructive, experimental, and nonlinear analysis (Limoges,
1999)},
SERIES = {CMS Conf. Proc.},
VOLUME = {27},
PAGES = {1--6},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2000},
MRCLASS = {65J10 (47A50 65F10)},
MRNUMBER = {2001f:65065},
MRREVIEWER = {Bernard Lemaire},
}
@incollection {MR3155358,
AUTHOR = {Bauschke, H.H. and Koch, V.R.},
TITLE = {Projection methods: {S}wiss army knives for solving
feasibility and best approximation problems with halfspaces},
BOOKTITLE = {Infinite products of operators and their applications},
SERIES = {Contemp. Math.},
VOLUME = {636},
PAGES = {1--40},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {2015},
MRCLASS = {65K05 (41A29 49M37 90C25)},
MRNUMBER = {3155358},
MRREVIEWER = {Etienne de Klerk},
DOI = {10.1090/conm/636/12726},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/conm/636/12726},
}
@article {MR2000m:47049,
AUTHOR = {Bauschke, H.H. and Simons, S.},
TITLE = {Stronger maximal monotonicity properties of linear operators},
JOURNAL = {Bull. Austral. Math. Soc.},
FJOURNAL = {Bulletin of the Australian Mathematical Society},
VOLUME = {60},
YEAR = {1999},
NUMBER = {1},
PAGES = {163--174},
ISSN = {0004-9727},
CODEN = {ALNBAB},
MRCLASS = {47B99 (46B99 46G05 46N10 47N10 49J52)},
MRNUMBER = {2000m:47049},
}
@article {MR2000f:90095,
AUTHOR = {Bauschke, H.H. and Borwein, J.M. and Li, Wu},
TITLE = {Strong conical hull intersection property, bounded linear
regularity, {J}ameson's property {$(G)$}, and error bounds in
convex optimization},
JOURNAL = {Math. Program.},
FJOURNAL = {Mathematical Programming. A Publication of the Mathematical
Programming Society},
VOLUME = {86},
YEAR = {1999},
NUMBER = {1, Ser. A},
PAGES = {135--160},
ISSN = {0025-5610},
MRCLASS = {90C46 (41A29 90C31)},
MRNUMBER = {2000f:90095},
MRREVIEWER = {Charles K. Chui},
}
@article {MR2000e:90099,
AUTHOR = {Bauschke, H.H.},
TITLE = {Proof of a conjecture by {D}eutsch, {L}i, and {S}wetits on
duality of optimization problems},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {102},
YEAR = {1999},
NUMBER = {3},
PAGES = {697--703},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C46 (41A65 49K15)},
MRNUMBER = {2000e:90099},
}
@article {MR98f:90045,
AUTHOR = {Bauschke, H.H. and Borwein, J.M.},
TITLE = {On projection algorithms for solving convex feasibility
problems},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review. A Publication of the Society for Industrial and
Applied Mathematics},
VOLUME = {38},
YEAR = {1996},
NUMBER = {3},
PAGES = {367--426},
ISSN = {0036-1445},
CODEN = {SIREAD},
MRCLASS = {90C25 (47N10 49M45 65J10)},
MRNUMBER = {98f:90045},
MRREVIEWER = {F. Deutsch},
}
@article {MR98f:49038,
AUTHOR = {Bauschke, H.H. and Borwein, J.M.},
TITLE = {Legendre functions and the method of random {B}regman
projections},
JOURNAL = {J. Convex Anal.},
FJOURNAL = {Journal of Convex Analysis},
VOLUME = {4},
YEAR = {1997},
NUMBER = {1},
PAGES = {27--67},
ISSN = {0944-6532},
MRCLASS = {49M45 (65K10 90C25)},
MRNUMBER = {98f:49038},
MRREVIEWER = {Alfredo N. Iusem},
}
@incollection {MR98c:49069,
AUTHOR = {Bauschke, H.H. and Borwein, J.M. and Lewis, A.S.},
TITLE = {The method of cyclic projections for closed convex sets in
{H}ilbert space},
BOOKTITLE = {Recent developments in optimization theory and nonlinear
analysis (Jerusalem, 1995)},
SERIES = {Contemp. Math.},
VOLUME = {204},
PAGES = {1--38},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1997},
MRCLASS = {49M45 (47H99 47N10 65F10 90C25)},
MRNUMBER = {98c:49069},
MRREVIEWER = {Alfredo N. Iusem},
}
@article {MR98c:47067,
AUTHOR = {Bauschke, H.H.},
TITLE = {The approximation of fixed points of compositions of
nonexpansive mappings in {H}ilbert space},
JOURNAL = {J.M.th. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {202},
YEAR = {1996},
NUMBER = {1},
PAGES = {150--159},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {47H10 (47H17)},
MRNUMBER = {98c:47067},
MRREVIEWER = {Xie Ping Ding},
}
@article {MR96b:41038,
AUTHOR = {Bauschke, H.H. and Borwein, J.M.},
TITLE = {Dykstra's alternating projection algorithm for two sets},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {79},
YEAR = {1994},
NUMBER = {3},
PAGES = {418--443},
ISSN = {0021-9045},
CODEN = {JAXTAZ},
MRCLASS = {41A65 (46N10 47N10)},
MRNUMBER = {96b:41038},
MRREVIEWER = {F. Deutsch},
}
@article {MR95k:47085,
AUTHOR = {Bauschke, H.H.},
TITLE = {A norm convergence result on random products of relaxed
projections in {H}ilbert space},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {347},
YEAR = {1995},
NUMBER = {4},
PAGES = {1365--1373},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {47H09 (46C99 47N99 92C55 94A12)},
MRNUMBER = {95k:47085},
}
@article {MR95d:65048,
AUTHOR = {Bauschke, H.H. and Borwein, J.M.},
TITLE = {On the convergence of von {N}eumann's alternating projection
algorithm for two sets},
JOURNAL = {Set-Valued Anal.},
FJOURNAL = {Set-Valued Analysis. An International Journal Devoted to the
Theory of Multifunctions and its Applications},
VOLUME = {1},
YEAR = {1993},
NUMBER = {2},
PAGES = {185--212},
ISSN = {0927-6947},
CODEN = {SVANEG},
MRCLASS = {65J05 (41A65 47H17 65K10)},
MRNUMBER = {95d:65048},
MRREVIEWER = {F. Deutsch},
}
------------------------------------------------------------------------
------------------------------------------------------------------------
© Copyright
2003,
American Mathematical Society American
[American Mathematical Society]201 Charles Street Mathematical
Providence, RI 02904-6248 USA Society
Privacy
Statement
.biblio.bib0000640001023000102300000022457512346654602013704 0ustar hwolkowihwolkowicz%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Nathan at 2008-06-06 03:00:29 -0400
%% Saved with string encoding Unicode (UTF-8)
@techreport{BoHi:08,
Address = inst-MIMS:adr,
Author = {R{\"u}diger Borsdorf and N.J. Higham},
Bibdate = {Mon Apr 21 12:15:54 GMT 2008},
Date-Added = {2008-06-06 02:47:20 -0400},
Date-Modified = {2008-06-06 02:56:39 -0400},
Institution = inst-MIMS,
Keywords = {SDLS},
Month = apr,
Number = {2008.50},
Pages = 13,
Title = {A Preconditioned {Newton} Algorithm for the Nearest Correlation Matrix},
Type = t-MIMS-EPrint,
Year = {2008},
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@misc{Hi:88a,
Abstract = {The nearest symmetric positive semidefinite matrix in the Frobenius norm to an arbitrary real matrix A is shown to be (B + H)/2, where H is the symmetric polar factor of B=(A + AT)/2. In the 2-norm a nearest symmetric positive semidefinite matrix, and its distance Î´2(A) from A, are given by a computationally challenging formula due to Halmos. We show how the bisection method can be applied to this formula to compute upper and lower bounds for Î´2(A) differing by no more than a given amount. A key ingredient is a stable and efficient test for positive definiteness, based on an attempted Choleski decomposition. For accurate computation of Î´2(A) we formulate the problem as one of zero finding and apply a hybrid Newton-bisection algorithm. Some numerical difficulties are discussed and illustrated by example.},
Author = {Higham, N.J.},
Date = {1988},
Date-Added = {2008-06-06 02:21:22 -0400},
Date-Modified = {2008-06-06 02:24:15 -0400},
Date1 = {May, 1988 %@ 00243795},
Journal = {Linear Algebra and its Applications},
Keywords = {SDLS},
Pages = {103-118},
Publisher = {Elsevier Science},
Title = {Computing a nearest symmetric positive semidefinite matrix},
Volume = {103},
W = {/cgi-bin/sciserv.pl?collection=journals&journal=00243795&issue=v103inone&article=103_canspsm},
Year = {1988},
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@article{Ma:04,
Author = {J\'{e}r\^{o}me Malick},
Date-Added = {2008-06-06 02:16:53 -0400},
Date-Modified = {2008-06-06 02:21:16 -0400},
Doi = {10.1137/S0895479802413856},
Journal = {SIAM Journal on Matrix Analysis and Applications},
Keywords = {SDLS,Lagrangian duality; semidefinite optimization; calibration of covariance matrices},
Number = {1},
Pages = {272-284},
Publisher = {SIAM},
Title = {A Dual Approach to Semidefinite Least-Squares Problems},
Url = {http://link.aip.org/link/?SML/26/272/1},
Volume = {26},
Year = {2004},
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@article{PiGr:04,
Author = {Pietersz,Raoul and Groenen,Patrick J. F.},
Cites = {Hi:02},
Date = {2004},
Date-Added = {2008-06-06 02:08:20 -0400},
Date-Modified = {2008-06-06 02:11:34 -0400},
Journal = {Quantitative Finance},
Keywords = {correlation matrix},
Number = {6},
Pages = {649 - 662},
Publisher = {Routledge},
Title = {Rank reduction of correlation matrices by majorization},
Url = {http://www.informaworld.com.proxy.lib.uwaterloo.ca/10.1080/14697680400016182 %@ 1469-7688 %[ June 06, 2008},
Volume = {4},
Year = {2004},
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@article{BoXi:05,
Author = {Stephen Boyd and Lin Xiao},
Date-Added = {2008-06-06 01:54:14 -0400},
Date-Modified = {2008-06-06 02:12:33 -0400},
Doi = {10.1137/040609902},
Journal = {SIAM Journal on Matrix Analysis and Applications},
Keywords = {SDLS; correlation matrix; matrix nearness problems; covariance matrix; least-squares; semidefinite least-squares},
Number = {2},
Pages = {532-546},
Publisher = {SIAM},
Title = {Least-Squares Covariance Matrix Adjustment},
Url = {http://link.aip.org/link/?SML/27/532/1},
Volume = {27},
Year = {2005},
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Bdsk-Url-1 = {http://link.aip.org/link/?SML/27/532/1},
Bdsk-Url-2 = {http://dx.doi.org/10.1137/040609902}}
@misc{Ce:06,
Abstract = {This is an experimental computational account of projection algorithms for the linear best approximation problem. We focus on the sequential and simultaneous versions of Dykstra's algorithm and the Halpern-Lions-Wittmann-Bauschke algorithm for the best approximation problem from a point to the intersection of closed convex sets in the Euclidean space. These algorithms employ different iterative approaches to reach the same goal but no mathematical connection has yet been found between their algorithmic schemes. We compare these algorithms on linear best approximation test problems that we generate so that the solution will be known a priori and enable us to assess the relative computational merits of these algorithms. For the simultaneous versions we present a new component-averaging variant that substantially accelerates their initial behavior for sparse systems.},
Author = {Censor, Y.},
Date = {2006},
Date-Added = {2008-06-06 01:51:01 -0400},
Date-Modified = {2008-06-06 01:51:01 -0400},
Date1 = {July 1, 2006 %@ 00243795},
Journal = {Linear Algebra and Its Applications},
Keywords = {Linear best approximation; Sequential projection algorithms; Simultaneous projection algorithms; Computational acceleration},
Number = {1},
Pages = {111-123},
Publisher = {Elsevier Science},
Title = {Computational acceleration of projection algorithms for the linear best approximation problem},
Volume = {416},
W = {/cgi-bin/sciserv.pl?collection=journals&journal=00243795&issue=v416i0001&article=111_caopaftlbap},
Year = {2006},
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@article{DhTr:07,
Author = {Inderjit S. Dhillon and Joel A. Tropp},
Date-Added = {2008-06-06 01:42:34 -0400},
Date-Modified = {2008-06-06 01:42:37 -0400},
Doi = {10.1137/060649021},
Journal = {SIAM Journal on Matrix Analysis and Applications},
Keywords = {matrix nearness problems; Bregman divergences; squared Euclidean distance; relative entropy; alternating projections},
Number = {4},
Pages = {1120-1146},
Publisher = {SIAM},
Title = {Matrix Nearness Problems with Bregman Divergences},
Url = {http://link.aip.org/link/?SML/29/1120/1},
Volume = {29},
Year = {2007},
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Bdsk-Url-1 = {http://dx.doi.org/10.1137/060649021}}
@article{Hi:88,
Abstract = {The following ``symmetric Procrustes''problem arises in the determination of the strain matrix of an elastic structure: find the symmetric matrixX which minimises the Frobenius (or Euclidean) norm ofAX ---B, whereA andB are given rectangular matrices. We use the singular value decomposition to analyse the problem and to derive a stable method for its solution. A perturbation result is derived and used to assess the stability of methods based on solving normal equations. Some comparisons with the standard, unconstrained least squares problem are given.},
Author = {Higham, N.J. },
Date-Added = {2008-06-06 01:33:13 -0400},
Date-Modified = {2008-06-06 02:24:01 -0400},
Journal = {BIT Numerical Mathematics},
Keywords = {SDLS, Procrustes problem; semidefinite matrices},
M3 = {10.1007/BF01934701},
Number = {1},
Pages = {133--143},
Title = {The symmetric {P}rocrustes problem},
Ty = {JOUR},
Url = {http://dx.doi.org/10.1007/BF01934701},
Volume = {28},
Year = {1988},
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Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01934701}}
@misc{KiHa:07,
Abstract = {This note outlines an algorithm for solving the complex `matrix Procrustes problem'. This is a least‐squares approximation over the cone of positive semi‐definite Hermitian matrices, which has a number of applications in the areas of Optimization, Signal Processing and Control. The work generalizes the method of Allwright (SIAM J. Control Optim. 1988; 26(3):537--556), who obtained a numerical solution to the real‐valued version of the problem. It is shown that, subject to an appropriate rank assumption, the complex problem can be formulated in a real setting using a matrix‐dilation technique, for which the method of Allwright is applicable. However, this transformation results in an over‐parametrization of the problem and, therefore, convergence to the optimal solution is slow. Here, an alternative algorithm is developed for solving the complex problem, which exploits fully the special structure of the dilated matrix. The advantages of the modified algorithm are demonstrated via a numerical example. Copyright {\copyright} 2007 John Wiley & Sons, Ltd.},
Author = {Kiskiras, J. and Halikias, G. D.},
Date = {2007},
Date-Added = {2008-06-06 01:22:57 -0400},
Date-Modified = {2008-06-06 01:40:28 -0400},
Date1 = {August 2007 %@ 10705325},
Journal = {Numerical Linear Algebra with Applications},
Keywords = {Procrustes problem; semidefinite matrices; least-squares; SDLS},
Number = {6},
Pages = {485 - 502},
Publisher = {John Wiley & Sons, Ltd.},
Title = {A note on the complex semi-definite matrix Procrustes problem},
Volume = {14},
W = {/cgi-bin/sciserv.pl?collection=journals&journal=10705325&issue=v14i0006&article=485_anotcsmpp},
Year = {2007},
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@article{Hi:02,
Author = {Higham, N.J.},
Coden = {IJNADN},
Date-Added = {2008-06-06 01:05:06 -0400},
Date-Modified = {2008-06-06 01:12:28 -0400},
Fjournal = {IMA Journal of Numerical Analysis},
Issn = {0272-4979},
Journal = {IMA J. Numer. Anal.},
Keywords = {correlation matrix, alternating projections method, SDP, SDLS, QSDP},
Mrclass = {65F30 (91B02)},
Mrnumber = {MR1918653 (2003d:65037)},
Number = {3},
Pages = {329--343},
Title = {Computing the nearest correlation matrix---a problem from finance},
Volume = {22},
Year = {2002},
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@article{To:08,
Author = {Toh, Kim-Chuan},
Cites = {KrLaVaPaSe:04},
Date-Added = {2008-06-06 00:06:27 -0400},
Date-Modified = {2008-06-06 00:38:39 -0400},
Fjournal = {Mathematical Programming. A Publication of the Mathematical Programming Society},
Issn = {0025-5610},
Journal = {Math. Program.},
Keywords = {QSDP, SDLS, inexact search direction, Krylov iterative method},
Mrclass = {90C22 (90C25)},
Mrnumber = {MR2327007},
Number = {1, Ser. B},
Pages = {221--254},
Title = {An inexact primal-dual path following algorithm for convex quadratic {SDP}},
Volume = {112},
Year = {2008},
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@article{NiYu:01,
Author = {Nie, Jia-Wang and Yuan, Ya-Xiang},
Date-Added = {2008-06-05 23:53:18 -0400},
Date-Modified = {2008-06-06 00:03:11 -0400},
Fjournal = {Annals of Operations Research},
Issn = {0254-5330},
Journal = {Ann. Oper. Res.},
Keywords = {QSDP, potential reduction method, predictor corrector method},
Mrclass = {90C22 (90C51)},
Mrnumber = {MR1868446 (2002k:90075)},
Mrreviewer = {Ji-Ming Peng},
Note = {Optimization and numerical algebra (Nanjing, 1999)},
Pages = {115--133},
Title = {A predictor-corrector algorithm for {QSDP} combining {D}ikin-type and {N}ewton centering steps},
Volume = {103},
Year = {2001},
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@article{NiYu:00,
Author = {Nie, Jiawang and Yuan, Yaxiang},
Date-Added = {2008-06-05 23:40:15 -0400},
Date-Modified = {2008-06-05 23:43:51 -0400},
Fjournal = {Science in China. Series A. Mathematics},
Issn = {1006-9283},
Journal = {Sci. China Ser. A},
Keywords = {QSDP, potential reduction method, convergence},
Mrclass = {90C22},
Mrnumber = {MR1766240 (2001a:90038)},
Number = {1},
Pages = {35--46},
Title = {A potential reduction algorithm for an extended {SDP} problem},
Volume = {43},
Year = {2000},
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@article{Ja:00,
Author = {Jarre, Florian},
Date-Added = {2008-06-03 10:37:18 -0400},
Date-Modified = {2008-06-06 01:41:52 -0400},
Fjournal = {Optimization and Engineering},
Issn = {1389-4420},
Journal = {Optim. Eng.},
Keywords = {nonlinear SDP, nonlinear optimization, predictor corrector method, trust region method},
Mrclass = {90C51 (90C22 90C26)},
Mrnumber = {MR1917326 (2003f:90110)},
Mrreviewer = {Shu Zhong Zhang},
Number = {4},
Pages = {347--372},
Title = {An interior method for nonconvex semidefinite programs},
Volume = {1},
Year = {2000},
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@article{St:07,
Author = {Michael L. Stein},
Cites = {KrLaVaPaSe:04,Hu:95},
Date-Added = {2008-06-02 18:18:56 -0400},
Date-Modified = {2008-06-06 00:11:29 -0400},
Journal = {Ann. Appl. Stat.},
Keywords = {SDLS},
Number = {1},
Pages = {191--210},
Title = {Spatial variation of total column ozone on a global scale},
Volume = {1},
Year = {2007},
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@article{Hu:95,
Author = {Hu, H.},
Cited-By = {St:07,Kr:03},
Coden = {LAAPAW},
Date-Added = {2008-06-02 17:42:01 -0400},
Date-Modified = {2008-06-06 00:11:29 -0400},
Fjournal = {Linear Algebra and its Applications},
Issn = {0024-3795},
Journal = {Linear Algebra Appl.},
Keywords = {SDP, SDLS},
Mrclass = {90C20 (65K05)},
Mrnumber = {MR1352843 (96d:90070)},
Pages = {167--174},
Title = {Positive definite constrained least-squares estimation of matrices},
Volume = {229},
Year = {1995},
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@article{AkJrPoJr:08,
Abstract = { This paper discusses a method for estimating noise covariances from process data. In linear stochastic state-space representations the true noise covariances are generally unknown in practical applications. Using estimated covariances a Kalman filter can be tuned in order to increase the accuracy of the state estimates. There is a linear relationship between covariances and autocovariance. Therefore, the covariance estimation problem can be stated as a least-squares problem, which can be solved as a symmetric semidefinite least-squares problem. This problem is convex and can be solved efficiently by interior-point methods. A numerical algorithm for solving the symmetric is able to handle systems with mutually correlated process noise and measurement noise.},
Author = {Akesson, Bernt M. and JÂ¯rgensen, John Bagterp and Poulsen, Niels KjÂ¯lstad and JÂ¯rgensen, Sten Bay},
Cites = {Kr:03},
Date-Added = {2008-06-02 16:24:47 -0400},
Date-Modified = {2008-06-06 00:12:14 -0400},
Journal = {Journal of Process Control},
Keywords = {Kalman filtering; Covariance estimation; Optimal estimation; State estimation; SDLS},
Pages = {--},
Title = {A generalized autocovariance least-squares method for Kalman filter tuning},
Ty = {JOUR},
Url = {http://www.sciencedirect.com/science/article/B6V4N-4RH2SSF-1/1/c8ca55ee308fad43766838dbf75ea8c9},
Volume = {In Press, Corrected Proof},
Year = {2008},
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Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6V4N-4RH2SSF-1/1/c8ca55ee308fad43766838dbf75ea8c9}}
@mastersthesis{Kr:03,
Address = {University of British Columbia},
Author = {Nathan Krislock},
Cited-By = {AkJrPoJr:08,KrLaVaPaSe:04},
Cites = {Hu:95},
Date-Added = {2008-06-02 15:54:56 -0400},
Date-Modified = {2008-06-06 00:09:41 -0400},
Keywords = {SDLS, interior-point methods},
Title = {Numerical solution of semidefinite least squares problems},
Year = {2003},
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@misc{WeWo:06,
Author = {Hua Wei and Henry Wolkowicz},
Date-Added = {2008-06-01 23:48:46 -0400},
Date-Modified = {2008-06-03 10:55:08 -0400},
Howpublished = {Technical Report CORR 2006-01, University of Waterloo, Waterloo, Ontario},
Keywords = {SDP, strict complementarity, max-cut, interior-point methods},
Title = {Generating and Measuring Instances of Hard Semidefinite Programs},
Year = {2006},
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@misc{KrPiWo:06,
Author = {Nathan Krislock and Veronica Piccialli and Henry Wolkowicz},
Date-Added = {2008-06-01 21:12:13 -0400},
Date-Modified = {2008-06-02 22:23:49 -0400},
Howpublished = {Technical Report CORR 2006-12, University of Waterloo, Waterloo, Ontario},
Keywords = {Sensor Network Localization, Anchors, Graph Realization, SDP, Euclidean Distance Matrix Completions, Gauss-Newton; SDLS},
Read = {Yes},
Title = {Robust Semidefinite Programming Approaches for Sensor Network Localization with Anchors},
Year = {2006},
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@book{WoSaVa:00,
Address = {Boston, MA},
Date-Added = {2008-06-01 15:37:12 -0400},
Date-Modified = {2008-06-03 10:57:48 -0400},
Editor = {Henry Wolkowicz and Romesh Saigal and Lieven Vandenberghe},
Isbn = {0792377710},
Keywords = {Linear programming; Mathematical optimization; SDP},
Pages = {xxvi, 654 p.},
Publisher = {Kluwer Academic},
Title = {Handbook of Semidefinite Programming: Theory, Algorithms, and Applications},
Year = {2000}}
@article{Wo:04,
Author = {Wolkowicz, Henry},
Date-Added = {2008-06-01 15:24:13 -0400},
Date-Modified = {2008-06-02 22:13:58 -0400},
Fjournal = {Optimization Methods \& Software},
Issn = {1055-6788},
Journal = {Optim. Methods Softw.},
Keywords = {SDP; Large sparse problems; Gauss-Newton, Preconditioned conjugate gradients; Crossover; Max-Cut problem},
Mrclass = {90C22 (90C52)},
Mrnumber = {MR2102220 (2005h:90091)},
Mrreviewer = {E. Alper Y{\i} ld{\i} r{\i} m},
Number = {6},
Pages = {653--672},
Title = {Solving semidefinite programs using preconditioned conjugate gradients},
Volume = {19},
Year = {2004},
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@article{GoWeWo:07,
Abstract = {This paper studies a primal--dual interior/exterior-point path-following approach for linear programming that is motivated on using an iterative solver rather than a direct solver for the search direction. We begin with the usual perturbed primal--dual optimality equations. Under nondegeneracy assumptions, this nonlinear system is well-posed, i.e. it has a nonsingular Jacobian at optimality and is not necessarily ill-conditioned as the iterates approach optimality. Assuming that a basis matrix (easily factorizable and well-conditioned) can be found, we apply a simple preprocessing step to eliminate both the primal and dual feasibility equations. This results in a single bilinear equation that maintains the well-posedness property. Sparsity is maintained. We then apply either a direct solution method or an iterative solver (within an inexact Newton framework) to solve this equation. Since the linearization is well posed, we use affine scaling and do not maintain nonnegativity once we are close enough to the optimum, i.e. we apply a change to a pure Newton step technique. In addition, we correctly identify some of the primal and dual variables that converge to 0 and delete them (purify step). We test our method with random nondegenerate problems and problems from the Netlib set, and we compare it with the standard Normal Equations NEQ approach. We use a heuristic to find the basis matrix. We show that our method is efficient for large, well-conditioned problems. It is slower than NEQ on ill-conditioned problems, but it yields higher accuracy solutions.},
Author = {Gonzalez-Lima, Maria and Wei, Hua and Wolkowicz, Henry},
Date-Added = {2008-06-01 14:48:52 -0400},
Date-Modified = {2008-06-03 10:47:28 -0400},
Fjournal = {Computational Optimization and Applications},
Journal = {Comput. Optim. Appl.},
Keywords = {Linear programming, Large sparse problems, Preconditioned conjugate gradients, Stability},
M3 = {10.1007/s10589-007-9157-2},
Title = {A stable primal--dual approach for linear programming under nondegeneracy assumptions},
Ty = {JOUR; JOUR},
Url = {http://dx.doi.org/10.1007/s10589-007-9157-2},
Volume = {to appear},
Year = {2008},
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Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10589-007-9157-2}}
@article{KlPeRoTe:01,
Author = {E. de Klerk and J. Peng and C. Roos and T. Terlaky},
Date-Added = {2008-06-01 14:13:12 -0400},
Date-Modified = {2008-06-03 10:24:51 -0400},
Doi = {10.1137/S1052623499352632},
Journal = {SIAM J. Optim.},
Keywords = {SDP; primal-dual search directions; interior-point methods; Gauss-Newton},
Number = {4},
Pages = {870-888},
Publisher = {SIAM},
Title = {A Scaled {G}auss-{N}ewton Primal-Dual Search Direction for Semidefinite Optimization},
Url = {http://link.aip.org/link/?SJE/11/870/1},
Volume = {11},
Year = {2001},
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Bdsk-Url-1 = {http://link.aip.org/link/?SJE/11/870/1},
Bdsk-Url-2 = {http://dx.doi.org/10.1137/S1052623499352632}}
@article{ElTaZh:94,
Author = {A. S. El-Bakry and R. A. Tapia and Y. Zhang},
Date-Added = {2008-06-01 14:08:34 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Doi = {10.1137/1036003},
Journal = {SIAM Review},
Keywords = {interior-point methods; indicator function; identifying zero variables},
Number = {1},
Pages = {45-72},
Publisher = {SIAM},
Title = {A Study of Indicators for Identifying Zero Variables in Interior-Point Methods},
Url = {http://link.aip.org/link/?SIR/36/45/1},
Volume = {36},
Year = {1994},
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Bdsk-Url-1 = {http://link.aip.org/link/?SIR/36/45/1},
Bdsk-Url-2 = {http://dx.doi.org/10.1137/1036003}}
@article{VaBoWu:98,
Author = {Lieven Vandenberghe and Stephen Boyd and Shao-Po Wu},
Date-Added = {2008-06-01 13:45:22 -0400},
Date-Modified = {2008-06-03 11:13:38 -0400},
Doi = {10.1137/S0895479896303430},
Fjournal = {SIAM Journal on Matrix Analysis and Applications},
Journal = {SIAM J. Matrix Anal. Appl.},
Keywords = {SDP; interior-point methods; linear matrix inequalities; determinant maximization},
Number = {2},
Pages = {499-533},
Publisher = {SIAM},
Title = {Determinant Maximization with Linear Matrix Inequality Constraints},
Url = {http://link.aip.org/link/?SML/19/499/1},
Volume = {19},
Year = {1998},
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Bdsk-Url-1 = {http://link.aip.org/link/?SML/19/499/1}}
@article{NiDeSt:06,
Author = {Nie, Jiawang and Demmel, James and Sturmfels, Bernd},
Date-Added = {2008-05-31 16:55:22 -0400},
Date-Modified = {2008-06-02 22:13:58 -0400},
Fjournal = {Mathematical Programming. A Publication of the Mathematical Programming Society},
Issn = {0025-5610},
Journal = {Math. Program.},
Keywords = {Polynomials, Global Optimization, Sum of Squares, SDP, Radical Ideal, Variety, Gradient Ideal, Algebraic Geometry},
Mrclass = {90C22 (14P10 90C46)},
Mrnumber = {MR2216797 (2006m:90120)},
Mrreviewer = {Aris Daniilidis},
Number = {3, Ser. A},
Pages = {587--606},
Title = {Minimizing polynomials via sum of squares over the gradient ideal},
Volume = {106},
Year = {2006},
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@article{QiSu:06,
Author = {Qi, Houduo and Sun, Defeng},
Cites = {KrLaVaPaSe:04},
Date-Added = {2008-05-31 16:12:56 -0400},
Date-Modified = {2008-06-06 00:14:13 -0400},
Fjournal = {SIAM Journal on Matrix Analysis and Applications},
Issn = {0895-4798},
Journal = {SIAM J. Matrix Anal. Appl.},
Keywords = {correlation matrix, semismooth matrix equation, Newton method, quadratic convergence},
Mrclass = {90C25 (65K10 90C33)},
Mrnumber = {MR2255334 (2007e:90075)},
Mrreviewer = {A. Bultheel},
Number = {2},
Pages = {360--385},
Title = {A quadratically convergent {N}ewton method for computing the nearest correlation matrix},
Volume = {28},
Year = {2006},
Bdsk-File-1 = {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}}
@article{JoKrWo:98,
Author = {Johnson, Charles R. and Kroschel, Brenda and Wolkowicz, Henry},
Coden = {CPPPEF},
Date-Added = {2008-05-30 19:50:29 -0400},
Date-Modified = {2008-06-03 00:13:59 -0400},
Fjournal = {Computational Optimization and Applications. An International Journal},
Issn = {0926-6003},
Journal = {Comput. Optim. Appl.},
Keywords = {positive definite completions, best nonnegative approximation, SDP, interior-point methods, complementarity problems; SDLS},
Mrclass = {90C25 (90C20)},
Mrnumber = {MR1601892 (99a:90154)},
Mrreviewer = {Michael L. Dowling},
Number = {2},
Pages = {175--190},
Title = {An interior-point method for approximate positive semidefinite completions},
Volume = {9},
Year = {1998},
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@article{AlWo:05,
Author = {Al-Homidan, Suliman and Wolkowicz, Henry},
Coden = {LAAPAW},
Date-Added = {2008-05-30 19:47:44 -0400},
Date-Modified = {2008-06-03 00:04:57 -0400},
Fjournal = {Linear Algebra and its Applications},
Issn = {0024-3795},
Journal = {Linear Algebra Appl.},
Keywords = {Euclidean Distance Matrix Completions, SDP; SDLS},
Mrclass = {90C22},
Mrnumber = {MR2156431 (2006m:90115)},
Mrreviewer = {Anhua Lin},
Pages = {109--141},
Title = {Approximate and exact completion problems for {E}uclidean distance matrices using semidefinite programming},
Volume = {406},
Year = {2005},
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@article{KrMuReVaWo:01,
Author = {Kruk, Serge and Muramatsu, Masakazu and Rendl, Franz and Vanderbei, Robert J. and Wolkowicz, Henry},
Coden = {OMSOE2},
Date-Added = {2008-05-30 19:44:14 -0400},
Date-Modified = {2008-06-02 22:13:58 -0400},
Fjournal = {Optimization Methods and Software},
Issn = {1055-6788},
Journal = {Optim. Methods Softw.},
Keywords = {SDP, Gauss-Newton, interior-point methods},
Mrclass = {90C22 (90C51)},
Mrnumber = {MR1891034 (2003b:90063)},
Mrreviewer = {Marina Alex Epelman},
Number = {1},
Pages = {1--28},
Title = {The {G}auss-{N}ewton direction in semidefinite programming},
Volume = {15},
Year = {2001},
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@article{KrWo:03,
Author = {Kruk, Serge and Wolkowicz, Henry},
Date-Added = {2008-05-30 19:36:54 -0400},
Date-Modified = {2008-06-02 22:13:58 -0400},
Fjournal = {Journal of Applied Mathematics},
Issn = {1110-757X},
Journal = {J. Appl. Math.},
Keywords = {SDP, Gauss-Newton, interior-point methods},
Mrclass = {90C53 (65K05)},
Mrnumber = {MR2013788 (2005a:90193)},
Mrreviewer = {Heinz H. Bauschke},
Number = {10},
Pages = {517--534},
Title = {Convergence of a short-step primal-dual algorithm based on the {G}auss-{N}ewton direction},
Year = {2003},
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@article{Su:06,
Author = {Sun, Defeng},
Date-Added = {2008-05-30 19:30:38 -0400},
Date-Modified = {2008-06-03 11:10:41 -0400},
Fjournal = {Mathematics of Operations Research},
Issn = {0364-765X},
Journal = {Math. Oper. Res.},
Keywords = {nonlinear SDP; strong second-order sufficient condition; constraint nondegeneracy; strong regularity},
Mrclass = {90C22 (90C31)},
Mrnumber = {MR2281228 (2007m:90060)},
Mrreviewer = {Ji-Ming Peng},
Number = {4},
Pages = {761--776},
Title = {The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications},
Volume = {31},
Year = {2006},
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@book{BoSh:00,
Address = {New York},
Author = {Bonnans, J. F. and Shapiro, A.},
Date-Added = {2008-05-30 19:26:28 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Isbn = {0-387-98705-3},
Keywords = {perturbation analysis},
Mrclass = {90-02 (49-02 49K40 90C31)},
Mrnumber = {MR1756264 (2001g:90003)},
Mrreviewer = {T. Zolezzi},
Pages = {xviii+601},
Publisher = {Springer-Verlag},
Series = {Springer Series in Operations Research},
Title = {Perturbation analysis of optimization problems},
Year = {2000}}
@incollection{Ja:03,
Address = {Boston, MA},
Author = {Jarre, Florian},
Booktitle = {System modeling and optimization, XX (Trier, 2001)},
Date-Added = {2008-05-30 19:13:47 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Keywords = {nonlinear SDP},
Mrclass = {90C22 (90C30)},
Mrnumber = {MR2022764 (2004j:90076)},
Pages = {55--69},
Publisher = {Kluwer Acad. Publ.},
Series = {IFIP Int. Fed. Inf. Process.},
Title = {Some aspects of nonlinear semidefinite programming},
Volume = {130},
Year = {2003}}
@article{Sh:97,
Abstract = {Abstract~~In this paper we study nonlinear semidefinite programming problems. Convexity, duality and first-order optimality conditions for such problems are presented. A second-order analysis is also given. Second-order necessary and sufficient optimality conditions are derived. Finally, sensitivity analysis of such programs is discussed. },
Author = {Shapiro, Alexander},
Date-Added = {2008-05-30 18:31:20 -0400},
Date-Modified = {2008-06-03 10:53:50 -0400},
Fjournal = {Mathematical Programming},
Journal = {Math. Program.},
Keywords = {SDP; Cone constraints; Convex programming; Duality; Second-order optimality conditions; Tangent cones; Optimal value function; Sensitivity analysis; nonlinear SDP},
M3 = {10.1007/BF02614439},
Number = {1},
Pages = {301--320},
Title = {First and second order analysis of nonlinear semidefinite programs},
Ty = {JOUR},
Url = {http://dx.doi.org/10.1007/BF02614439},
Volume = {77},
Year = {1997},
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Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF02614439}}
@article{FrJaVo:07,
Author = {Freund, Roland W. and Jarre, Florian and Vogelbusch, Christoph H.},
Date-Added = {2008-05-30 18:21:53 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Fjournal = {Mathematical Programming. A Publication of the Mathematical Programming Society},
Issn = {0025-5610},
Journal = {Math. Program.},
Keywords = {nonlinear SDP, Sequential quadratic programming Sensitivity, Reduced-order modeling, Positive realness},
Mrclass = {90C22 (90C55)},
Mrnumber = {MR2296565 (2007k:90088)},
Mrreviewer = {Hubertus Th. Jongen},
Number = {2-3, Ser. B},
Pages = {581--611},
Read = {No},
Title = {Nonlinear semidefinite programming: sensitivity, convergence, and an application in passive reduced-order modeling},
Volume = {109},
Year = {2007},
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@misc{DiKrQiWo:06,
Author = {Yichuan Ding and Nathan Krislock and Jiawei Qian and Henry Wolkowicz},
Date-Added = {2008-05-30 02:46:22 -0400},
Date-Modified = {2008-06-02 22:23:32 -0400},
Howpublished = {Technical Report CORR 2006-23, University of Waterloo, Waterloo, Ontario},
Keywords = {Sensor Network Localization, Anchors, Graph Realization, Euclidean Distance Matrix Completions, SDP, Lagrangian Relaxation, SDLS},
Rating = {3},
Read = {Yes},
Title = {Sensor Network Localization, {E}uclidean Distance Matrix Completions, and Graph Realization},
Url = {http://www.citebase.org/abstract?id=oai:arXiv.org:math/0612388},
Year = {2006},
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@article{To:01,
Author = {Todd, M. J.},
Date-Added = {2008-05-30 02:27:25 -0400},
Date-Modified = {2008-06-03 10:54:26 -0400},
Fjournal = {Acta Numerica},
Issn = {0962-4929},
Journal = {Acta Numerica},
Keywords = {SDP, interior-point methods},
Mrclass = {90-02 (90C22)},
Mrnumber = {MR2009698 (2004g:90004)},
Mrreviewer = {Kenneth O. Kortanek},
Pages = {515--560},
Rating = {5},
Read = {Yes},
Title = {Semidefinite optimization},
Volume = {10},
Year = {2001},
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@article{KrLaVaPaSe:04,
Author = {Krislock, N and Lang, JC and Varah, J and Pai, DK and Seidel, HP},
Cited-By = {St:07,To:08,QiSu:06},
Cites = {Kr:03},
Date-Added = {2008-05-30 01:46:49 -0400},
Date-Modified = {2008-06-06 00:36:03 -0400},
Doi = {10.1109/TRO.2004.832794},
Issn = {1042-296X},
Journal = {IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION},
Keywords = {Constrained Linear Least Squares, Deformable Models, Stiffness Matrix},
Number = {6},
Pages = {1007--1011},
Rating = {3},
Read = {Yes},
Title = {Local compliance estimation via positive semidefinite constrained least squares},
Unique-Id = {ISI:000225484300007},
Volume = {20},
Year = {2004},
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@article{FaGeJo:03,
Address = {Orlando, FL, USA},
Author = {Shaun M. Fallat and Michael I. Gekhtman and Charles R. Johnson},
Date-Added = {2008-05-29 21:53:29 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Doi = {http://dx.doi.org/10.1016/S0196-8858(02)00506-7},
Issn = {0196-8858},
Journal = {Adv. Appl. Math.},
Keywords = {bidiagonal factorization, determinant, determinantal inequalities, principal minor, totally nonnegative matrices},
Number = {3},
Pages = {442--470},
Publisher = {Academic Press, Inc.},
Title = {Multiplicative principal-minor inequalities for totally nonnegative matrices},
Volume = {30},
Year = {2003},
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@misc{dABaGh:07,
Author = {Alexandre d'Aspremont and Francis Bach and Laurent El Ghaoui},
Date-Added = {2008-05-29 20:54:56 -0400},
Date-Modified = {2008-06-06 00:39:09 -0400},
Keywords = {PCA, subset selection, sparse eigenvalues, sparse recovery, lasso},
Title = {Full Regularization Path for Sparse Principal Component Analysis},
Url = {http://arxiv.org/abs/0707.0705v4},
Year = {2007},
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.bjorBOOK.bib0000640001023000102300000076306714136764270014061 0ustar hwolkowihwolkowicz%% Version dated January 4, 1996
REFERENCES FOR LEAST SQUARES METHODS
{\AA}ke Bj{\"o}rck
This is the BibTeX reference base which I have used for the book
Numerical Methods for Least Squares, SIAM, 1996 (reference {bjor:96}).
It is available by anonymous ftp at
math.liu.se
in the directory
pub/references
It has been modeled after the BibTeX reference base of Pete Stewart, and
the same comments applies to its use. Below I repeat some of the introductory
comments of his base:
CITATION KEYS
A citation key is divided into two fields, :, separated
by a colon. The author field is constructed as follows. If there is
only one author, the first four letters of his or her last name are
used to form the field (but only one letter each from prefixes, e.g.
van de Geign becomes vdge). If there are two authors the first two
letters in their last names are used. If there are three authors the
first two letters of the first are used with one letter from each of
the second and third. If their are four, one letter from each is used.
Warning: there may be a few exceptions to these conventions.
NAMES
Names appear in the order in which they appear in the reference, and entries
are alphabetized by the first name to appear. To keep BibTeX from
becoming confused, only initials of given names are used.
Between some entries you will find clusters of two letters--e.g. -ac- -ad-.
These can be used to position yourself within the reference base.
KEYWORDS
Each entry has a keyword field, labeled kwds. The program bibsrch (see below)
will search the file for matches in a user-specified
combination of conjunctions, disjunctions, and negations. The user
can also specify the author. The program getkey dumps the keywords
on the standard output. To get an alphabetized list of all key words
from the file ref.bib try
getkey ref | sort -uf > keywords
The choice of key words is a highly personal matter. I have used a number
of abbreviations to keep the kwds field to a manageable size. Here they are.
approximate methods (appr)
augmented system (augms)
backward perturbation (pert),
banded least squares (band),
blas (blas),
block angular system (basys),
block methods (block),
Chebyshev approximation (cheb),
Cholesky (chol),
condition (cond),
conjugate gradients (cg),
constrained least squares (constr),
control theory (contr),
covariance matrix (covar),
CS decomposition (csd),
downdating (downd),
eigenvalue problem (eigv)
equilibration (scale),
error estimate (err),
fast Fourier transform (fft),
fill-in (fill),
generalized eigenvalue problems (geig),
generalized inverse (ginv),
generalized linear model (glsq),
generalized QR decomposition (gqrd),
geodesy (geod),
geometric elements, fitting (geom),
generalized singular value decomposition (gsvd),
Givens rotation (rot),
graph theory (graph),
Gram-Schmidt (grsch),
history of least squares (hist),
Householder (house),
hyperbolic rotation (hyp),
ill-posed (illp),
interior point methods (intpoint),
interval analysis (err),
iterative method (iter),
iterative refinement (ir),
Kronecker product (kron),
Lanczos (lanczos),
linear algebra general (la),
LU decomposition (lud),
matrix approximation (max),
nested dissection (nestdis),
nonlinear least squares (nlsq),
normal equations (ne),
numerical linear algebra (nla)
optimization (opt),
ordering for sparsity (perm),
orthogonalization (orth),
orthogonal regression (orthreg),
precision (err),
preconditioning (precond),
pseudo-inverse (ginv),
parallel computation (prll),
perturbation theory (pert),
polynomial approximation (poly),
projection (orth),
QR decomposition (qrd),
quadratic programming (quadpr),
random matrix (rand),
rank degenerate problems (rank),
rank revealing QR factorization (rrqrd),
recursive least squares (rls),
regularization (regul),
regression (regr),
robust estimation (rob),
scaling (scale),
signal processing (sigp),
singular value decomposition (svd),
software (soft),
sparse (sparse),
spline approximation (spline),
statistics (stat),
survey paper/book (survey),
systolic (syst),
test matrix (test),
Toeplitz (toep),
total least squares (tls),
underdetermined systems (uds),
updating, downdating (upd, downd),
Vandermonde systems (vand),
variable projection (varpro),
vector processing (prll),
weighted least squares (wlsq)"
The program getkey also prints out these correspondences in the
appropriate places. (They are actually key words in the last article
of the base; take a look.)
DISCLAIMERS
Do not use the references in a paper, unless you have checked them out
for yourself. Naturally, I am interested in hearing about any errors
you may find. This reference base downdated regularly, and items can
disappear. For example, I will generally remove techreports as I find them
published in journals. If you use this base in a \bibliograpy command,
save your bbl files!
BIBSRCH
The programs bibsrch and getkey, written by G.W. Stewart, may be generated from
the file bibsearch.tar, available by anonymous ftp at
thales.cs.umd.edu
in the directory
pub/references.
Simply place bibsearch.tar in the directory where you want the directory
containing the programs. Then
tar xf bibsearch.tar
cd bibsearch
more README
and you will be told what to do next.
@article{abde:71,
author = "N. N. Abdelmalek",
year = "1971",
title = "Roundoff Error Analysis for {Gram-Schmidt} Method and
Solution of Linear Least Squares Problems",
journal = "BIT",
volume = "11",
pages = "345--368",
kwds = "err,grsch,qrd"
}
@article{adco:1878,
author = "R. J. Adcock",
year = "1878",
title = "A Problem in Least Squares",
journal = "The Analyst",
volume = "5",
pages = "53--54",
kwds = "regr,stat,tls"
}
@book{ahhu:83,
author = "A. V. Aho and J. E. Hopcroft and J. D. Ullman",
year = "1983",
title = "Data Structures and Algorithms",
publisher = "Addison-Wesley",
address = "Reading, MA",
kwds = ""
}
@article{aike:34,
author = "A. C. Aiken",
year = "1934",
title = "On Least Squares and Linear Combinations of Observations",
journal = "Proceedings of the Royal Society of Edinburgh, Sec. A",
volume = "55",
pages = "42--47",
kwds = "regr,stat"
}
@article{ajje:84,
author = "M. A. Ajiz and A. Jennings",
year = "1984",
title = "A Robust Incomplete {Choleski}-Conjugate Gradient Algorithm",
journal = "Internat. J. Numer. Methods. Engrg.",
volume = "20",
pages = "949--966",
kwds = "cg, precond"
}
al-
@article{alfl:85,
author = "M. Al-Baali and R. Fletcher",
year = "1985",
title = "Variational Methods for Non-linear Least Squares",
journal = "J. Oper. Res. Soc.",
volume = "36",
pages = "405--421",
kwds = "nlsq"
}
@article{alfl:86,
author = "M. Al-Baali and R. Fletcher",
year = "1986",
title = "An Efficient Line Search for Nonlinear Least-squares",
journal = "J. Optim. Theory Appl.",
volume = "48",
pages = "359--377",
kwds = "nlsq"
}
@phdthesis{alba:84,
author = "M. Al-Baali",
year = "1984",
title = "Methods for Nonlinear Least Squares",
school = "Department of Mathematical Sciences, University of Dundee",
address = "Scotland",
type = "{Ph. D.} thesis",
kwds = "nlsq"
}
al- an-
@article{alpp:88,
author = "S. T. Alexander and C.-T. Pan and R. J. Plemmons",
year = "1988",
title = "Analysis of a Recursive Least Squares Hyperbolic
Rotation Algorithm for Signal Processing",
journal = "Linear Algebra Appl.",
volume = "98",
pages = "3-40",
kwds = "downd, hyp, sigp, rls"
}
@article{alva:90,
author = "F. L. Alvarado",
year = "1990",
title = "Manipulating and Visualization of Sparse Matrices",
journal = "ORSA J. Comput.",
volume = "2",
pages = "186--207",
kwds = "sparse, soft"
}
@phdthesis{ames:91,
author = "P. R. Amestoy",
year = "1991",
title = "Factorization of Large Sparse Matrices Based on a
Multifrontal Approach in a Multiprocessor Environment",
school = "CERFACS",
address = " Toulouse, France",
type = "{Ph. D.} thesis",
number = "TH/PA/91/2",
kwds = "sparse, prll, thesis"
}
@article{amdu:89,
author = "P. R. Amestoy and I. S. Duff",
year = "1989",
title = "Vectorization of a Multiprocessor Multifrontal Code",
journal = "Internat. J. Supercomp. Appl.",
volume = "3",
pages = "41--59",
kwds = "sparse, prll"
}
@article{amdu:93,
author = "P. R. Amestoy and I. S. Duff",
year = "1993",
title = "Memory Allocation Issues in Sparse Multiprocessor
Multifrontal Methods",
journal = "Internat. J. Supercomput. Appl.",
volume = "7",
pages = "64--82",
kwds = "sparse, prll"
}
@article{anpa:94,
author = "A. A. Anda and H. Park",
year = "1994",
title = "Fast Plane Rotations with Dynamic Scaling",
journal = " SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "162--174",
kwds = "rot"
}
@article{anpa:96,
author = "A. A. Anda and H. Park",
year = "1996",
title = "Self-Scaling Fast Rotations for Stiff Least Squares Problems",
journal = "Linear Algebra Appl.",
volume = "234",
pages = "137--162",
kwds = "rot, qrd,wlsq,constr"
}
@book{anbb:95,
editor = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and
J. Dongarra and J. {Du Croz} and A. Greenbaum and
S. Hammarling and A. McKenney and S. Ostrouchov and
D. Sorensen ",
year = "1995",
title = "{LAPACK} Users' Guide. Second Edition",
publisher = "SIAM",
address = "Philadelphia",
kwds = "prll,soft"
}
@book{anbb:99,
editor = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and
J. Dongarra and J. {Du Croz} and A. Greenbaum and
S. Hammarling and A. McKenney and
D. Sorensen",
year = "1999",
title = "{LAPACK} Users' Guide. Third Edition",
publisher = "SIAM",
address = "Philadelphia",
note={www.netlib.org/lapack/lug/lapack\_lug.html},
kwds = "prll,soft"
}
@techreport{anbd:91,
author = "E. Anderssen and Z. Bai and J. Dongarra",
title = "Generalized {QR} Factorization and its Applications",
institution = "Computer Science Department",
year = "1991",
type = "{Tech. Report}",
number = "CS-91-131",
address = "University of Tennessee, Knoxville, TN",
kwds = "iter"
}
@article{anka:75,
author = "N. Anderson and I. Karasalo",
year = "1975",
title = "On Computing Bounds for the Least Singular Value of a Triangular
Matrix",
journal = "BIT",
volume = "15",
pages = "1--4",
kwds = "err, rank, svd"
}
@techreport{ango:72,
author = "R. S. Anderssen and G. Golub",
title = "Richardson's Non-Stationary Matrix Iterative Procedure",
institution = "Computer Science Department",
year = "1972",
type = "{Tech. Report}",
number = "STAN-CS-72-304",
address = "Stanford University, CA",
kwds = "iter"
}
ar- as-
@article{ardd:89,
author = "M. Arioli and J. Demmel and I. S. Duff",
year = "1989",
title = "Solving Sparse Linear Systems with Sparse Backward Error",
journal = " SIAM J. Matrix Anal. Appl.",
volume = "10",
pages = "165--190",
kwds = "sparse, pert"
}
@article{ardr:89,
author = "M. Arioli and I. S. Duff and P. P. M. de Rijk",
year = "1989",
title = "On the augmented system approach to sparse least-squares problems",
journal = "Numer. Math.",
volume = "55",
pages = "667--684",
kwds = "sparse, augms"
}
@article{ardr:92,
author = "M. Arioli and I. S. Duff and D. Ruiz",
year = "1992",
title = "Stopping Criteria for Iterative Solvers",
journal = " SIAM J. Matrix Anal. Appl.",
volume = "13",
pages = "138--144",
kwds = "iter, pert"
}
@article{adrs:95,
author = "M. Arioli and I. S. Duff and D. Ruiz and M. Sadkane",
year = "1995",
title = "Block {Lanczos} Techniques for Accelerating the Block
{Cimmino} Method",
journal = " SIAM J. Sci. Comput.",
volume = "16",
pages = "1478--1511",
kwds = "iter, sparse, prll"
}
@article{ardn:92,
author = "M. Arioli and I. S. Duff and J. Noailles and D. Ruiz",
year = "1990",
title = "A Block Projection Method for Sparse Matrices",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "13",
pages = "47--70",
kwds = "sparse, iter"
}
@article{arla:86,
author = "M. Arioli and A. Laratta",
year = "1986",
title = "Error analysis of an algorithm for solving an underdetermined
linear system",
journal = "Numer. Math.",
volume = 46,
pages = "255--268",
kwds = "err, uds"
}
@article{arla:86a,
author = "M. Arioli and A. Laratta",
year = "1986",
title = "Error analysis of algorithms for computing the projection of a
Point onto a linear manifold",
journal = "Linear Algebra Appl.",
volume = 82,
pages = "1--26",
kwds = "uds, orth"
}
@article{asgr:89,
author = "C. Ashcraft and R. G. Grimes",
year = "1989",
title = "The Influence of Relaxed Supernode Partitions on the
Multifrontal Method",
journal = "ACM Trans. Math. Software",
volume = "15",
pages = "291--309",
kwds = "sparse, prll"
}
@techreport{ashc:87,
author = "C. Ashcraft",
year = "1987",
title = "A Vector Implementation of the Multifrontal
Method for Large Sparse Positive definite Systems",
institution = "Engineering Technology Division,
Boeing Computer Services",
address= "Seattle, WA",
type = "{Tech. Report}",
number = "ETA-TR-51",
kwds = "sparse, prll"
}
@incollection{ashk:71,
author = "V. Ashkenazi",
year = "1971",
title = " Geodetic Normal Equations",
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@book {MR97g:65004,
AUTHOR = {Bj{\"o}rck, {\AA}ke},
TITLE = {Numerical methods for least squares problems},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1996},
PAGES = {xviii+408},
ISBN = {0-89871-360-9},
MRCLASS = {65-02 (65Fxx 65H99)},
MRNUMBER = {97g:65004},
MRREVIEWER = {Hongyuan Zha},
}
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kwds = "cg, iter"
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%fa-
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kwds = "rank, qrd"
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@incollection{fakf:68a,
author = "D. K. Faddeev and V. N. Kublanovskaya and V. N. Faddeeva",
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pages = "161--170",
booktitle = "Programmation en Math{\'e}matiques Num{\'e}riques",
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kwds = "qrd, rank"
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kwds = "rrqrd, pert"
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%fl-
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ga-
@techreport{gand:80,
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author = "W. Gander and U. von Matt",
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author = "C. F. Gauss",
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ge-
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author = "J. A. George",
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pages = "416--429",
kwds = "sparse, qrd"
}
@article{gehn:83,
author = "J. A. George and M. T. Heath and E. G. Ng",
year = "1983",
title = "A Comparison of Some Methods for Solving Sparse Linear Least
Squares Problems",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "4",
pages = "177--187",
kwds = "sparse, test"
}
@book{geli:81,
author = "J. A. George and J. W.-H. Liu",
year = "1981",
title = "Computer Solution of Large Sparse Positive Definite Systems",
publisher = "Prentice-Hall",
address = "Englewood Cliffs, NJ",
kwds = "sparse, survey"
}
@article{geli:87,
author = "J. A. George and J. W.-H. Liu",
year = "1987",
title = "{Householder} Reflections versus {Givens} Rotations in Sparse
Orthogonal Decomposition",
journal = "Linear Algebra Appl.",
volume = "88/89",
pages = "223--238",
kwds = "sparse, rot, qrd"
}
@article{geli:89,
author = "J. A. George and J. W.-H. Liu",
year = "1989",
title = "The Evolution of the Minimum Degree Ordering Algorithm",
journal = "SIAM Review",
volume = "31",
pages = "1--19",
kwds = "sparse, perm, hist"
}
@article{geln:84,
author = "J. A. George and J. W.-H. Liu and E. G. Ng",
year = "1984",
title = "Row Ordering Schemes for Sparse {Givens} Transformations,
{I.} {Bipartite} Graph Model",
journal = "Linear Algebra Appl.",
volume = "61",
pages = "55--81",
kwds = "sparse, perm, rot"
}
@article{geln:86,
author = "J. A. George and J. W.-H. Liu and E. G. Ng",
year = "1986",
title = "Row Ordering Schemes for Sparse {Givens} Transformations,
{II.} {Implicit} Graph Model",
journal = "Linear Algebra Appl.",
volume = "75",
pages = "203--223",
kwds = "sparse, perm, rot"
}
@article{geln:86a,
author = "J. A. George and J. W.-H. Liu and E. G. Ng",
year = "1984",
title = "Row Ordering Schemes for Sparse {Givens} Transformations,
{III.} {Analysis} for a Model Problem",
journal = "Linear Algebra Appl.",
volume = "75",
pages = "225--240",
kwds = "sparse, perm, rot"
}
@article{geng:83,
author = "J. A. George and E. G. Ng",
year = "1983",
title = "On Row and Column Orderings for Sparse Least Squares Problems",
journal = "SIAM J. Numer. Anal.",
volume = "20",
pages = "326--344",
kwds = "sparse, perm, rot"
}
@techreport{geng:84,
author = "J. A. George and E. G. Ng",
year = "1984",
title = "{SPARSPAK}: Waterloo Sparse Matrix Package User's Guide for
{SPARSPAK-B}",
institution = "Department of Computer Science, University of Waterloo",
address = "Canada",
type = "Res. Report",
number = "CS-84-37",
note = "",
kwds = "sparse, soft"
}
@article{geng:85,
author = "J. A. George and E. G. Ng",
year = "1985",
title = "An Implementation of {Gaussian} Elimination with
Partial Pivoting for Sparse Systems",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "6",
pages = "390--409",
kwds = "sparse, lud"
}
@article{geng:87,
author = "J. A. George and E. G. Ng",
year = "1987",
title = "Symbolic Factorization for Sparse {Gaussian} Elimination with
Partial Pivoting",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "8",
pages = "877--898",
kwds = "sparse, lud"
}
@article{geng:88,
author = "J. A. George and E. G. Ng",
year = "1988",
title = "On the Complexity of Sparse {QR and LU} Factorization
of Finite-Element Matrices",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "9",
pages = "849--861",
kwds = "sparse, qrd, lud"
}
@article{geln:88,
author = "J. A. George and J. W.-H. Liu and E. G. Ng",
year = "1988",
title = "A Data Structure for Sparse {QR and LU} Factorization",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "9",
pages = "100--121",
kwds = "sparse, qrd, lud"
}
@article{gepv:78,
author = "J. A. George and W. G. Poole and R. G. Voigt",
year = "1978",
title = "Incomplete Nested Dissection for Solving $n$ by $n$ Grid Problems",
journal = "SIAM J. Numer. Anal.",
volume = "15",
pages = "90--112",
kwds = "sparse, perm, nestdis"
}
gi-
@phdthesis{gilb:80,
author = "J. R. Gilbert",
year = "1980",
title = "Graph Separator Theorems and Sparse {Gaussian} Elimination",
school = "Stanford University, CA",
type = "{Ph. D.} thesis",
kwds = "sparse, graph"
}
@article{gilb:94,
author = "J. R. Gilbert",
year = "1994",
title = "Predicting Structure in Sparse Matrix Computation",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "15",
pages ="62--79",
kwds = "sparse, soft"
}
@article{gims:92,
author = "J. R. Gilbert and C. Moler and R. Schreiber",
year = "1992",
title = "Sparse Matrices in {MATLAB}: Design and Implementation",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "13",
pages ="333--356",
kwds = "sparse, soft"
}
@techreport{ginp:93,
author = "J. R. Gilbert and E. G. Ng and B. W. Peyton",
year = "1993",
title = "Separators and Structure Prediction in Sparse Orthogonal
Factorization",
institution = "Xerox Corporation, Palo Alto Research Center",
type = "{Tech. Report}",
number = "CSL-93-15",
kwds = "sparse, qrd"
}
@article{gipe:88,
author = "J. R. Gilbert and T. Peierls",
year = "1988",
title = "Sparse Partial Pivoting in Time Proportional to Arithmetic Operations",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "9",
pages ="862--874",
kwds = "sparse"
}
@article{ggms:74,
author = "P. E. Gill and G. H. Golub and W. Murray and M.A. Saunders",
year = "1974",
title = "Methods for Modifying Matrix Factorizations",
journal = "Math. Comp",
volume = "28",
pages = "505--535",
kwds = "upd, downd, chol, qrd"
}
@techreport{gihm:86,
author = "P. E. Gill and S. J. Hammarling and W. Murray and M. A. Saunders
and M. H. Wright",
year = "1986",
title = "User's Guide for {LSSOL} (version {\rm 1.0}): a {Fortran} Package for
Constrained Linear Least-squares and Convex Quadratic Programming",
institution = "Department of Operations Research, Stanford University",
type = "{Report SOL}",
address = "CA",
kwds = "constr, quadpr, soft"
}
@inproceedings{gimu:76,
author = "P. E. Gill and W. Murray",
year = "1976",
title = "Nonlinear Least Squares and Nonlinearly Constrained Optimization",
booktitle = "Proceedings Dundee Conference on Numerical Analysis 1975",
editor = "G. A. Watson",
publisher = "Springer-Verlag, Berlin",
series = " Lecture Notes in Mathematics",
volume = "506",
pages = "135--147",
kwds = "nlsq, quadpr"
}
@inproceedings{gimu:76a,
author = "P. E. Gill and W. Murray",
year = "1976",
title = "The Orthogonal Factorization of a Large Sparse Matrix",
pages = "201--212",
booktitle = "Sparse Matrix Computations",
editor = "J. R. Bunch and D. J. Rose",
publisher = "Academic Press, New York",
kwds = "sparse, qrd"
}
@article{gimu:78,
author = "P. E. Gill and W. Murray",
year = "1978",
title = "Algorithms for the Solution of the Nonlinear Least Squares Problem",
journal = "SIAM J. Numer. Anal.",
volume = "15",
pages = "977--992",
kwds = "nlsq"
}
@book{gimw:81,
author = "P. E. Gill and W. Murray and M. H. Wright",
year = "1981",
title = "Practical Optimization",
publisher = "Academic Press",
address = "London and New York",
kwds = "nlsq, opt, survey"
}
@inproceedings{gmsw:90,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright",
year = "1990",
title = "A {Schur}-complement Method for Sparse Quadratic Programming",
booktitle = "Reliable Numerical Computation",
editor = "M. G. Cox and S. Hammarling",
pages = "113--138",
publisher = "Clarendon Press, Oxford, UK",
kwds = "sparse, quadpr, augms"
}
@article{give:58,
author = "W. Givens",
year = "1958",
title = "Computation of Plane Unitary Rotations Transforming a General
Matrix to Triangular Form",
journal = " SIAM J. Appl. Math.",
volume = "6",
pages = "26--50",
kwds = "qrd, rot"
}
@article{glsm:90,
author = "J. Gluchowska and A. Smoktunowicz",
year = "1990",
title = "Solving the Linear Least Squares Problem with Very High
Relative Accuracy",
journal = "Computing",
volume = "45",
pages = "345--354",
kwds = "err, ir"
}
@book{gold:77,
author = "H.~H. Goldstine",
year = "1977",
title = "A History of Numerical Analysis from the {\rm 16}th through the
{\rm 19}th Century",
publisher = "Springer-Verlag",
address = "New York",
kwds = "hist"
}
@article{golu:65,
author = "G. H. Golub",
year = "1965",
title = "Numerical Methods for Solving Least Squares Problems",
journal = "Numer. Math.",
volume = "7",
pages = "206-216",
kwds = "qrd, upd"
}
@article{golu:68,
author = "G. H. Golub",
year = "1968",
title = "Least Squares, Singular Values and Matrix Approximations",
journal = "Aplikace Matematiky",
volume = "13",
pages = "44--51",
kwds = "svd, max"
}
@inproceedings{golu:69,
author = "G. H. Golub",
year = "1969",
title = "Matrix Decompositions and Statistical Computation",
pages = "365--397",
booktitle = "Statistical Computation",
editor = "R.C. Milton and J. A. Nelder",
publisher = "Academic Press, New York",
kwds = "qrd, grsch, stat"
}
@article{golu:73,
author = "G. H. Golub",
year = "1973",
title = "Some Modified Matrix Eigenvalue Problems",
journal = "SIAM Review",
volume = "15",
pages = "318--344",
kwds = "upd"
}
@article{gohw:79,
author = "G. H. Golub and M. T. Heath and G. Wahba",
year = "1979",
title = "Generalized Cross-Validation as a Method for Choosing a Good
Ridge Parameter",
journal = "Technometrics",
volume = "21",
pages = "215--223",
kwds = "regul"
}
@article{gohs:87,
author = "G. H. Golub and A. Hoffman and G.W. Stewart",
year = "1987",
title = "A Generalization of the {Eckart-Young-Mirsky} Matrix
Approximation Theorem",
journal = "Linear Algebra Appl.",
volume = "88/89",
pages = "317--327",
kwds = "max"
}
@article{goka:65,
author = "G. H. Golub and W. Kahan",
year = "1965",
title = "Calculating the Singular Values and Pseudo-inverse of a Matrix",
journal = "SIAM J. Numer. Anal. Ser. B",
volume = "2",
pages = "205--224",
kwds = "svd, lanczos"
}
@techreport{goks:76,
author = "G. H. Golub and V. Klema and G. W. Stewart",
year = "1976",
title = "Rank Degeneracy and Least Squares Problems",
institution = "Computer Science Department, Stanford University",
address = "CA",
type = " {Tech. Report}",
number = "STAN-CS-76-559, August 1976",
kwds = "rank, rrqrd"
}
@inproceedings{golv:79,
author = "G. H. Golub and R. J. LeVeque",
year = "1979",
title = "Extensions and Uses of the Variable Projection Algorithm for
Solving Nonlinear Least Squares Problems",
pages = "1--12",
booktitle = "Proceedings of the 1979 Army Numerical Analysis and
Computers Conf. ",
publisher = "White Sands Missile Range, White Sands, NM, ARO Report 79-3",
kwds = "nlsq, varpro"
}
@inproceedings{golu:77,
author = "G. H. Golub and F. T. Luk",
year = "1977",
title = "Singular Value Decomposition: Applications and Computations",
booktitle = "Trans. 22nd Conference of Army Mathematicians, ARO Report 77-1",
pages = "577--605",
kwds = "svd"
}
@article{golo:81,
author = "G. H. Golub and F. T. Luk and M. L. Overton",
year = "1981",
title = "A Block {Lanczos} Method for Computing the Singular Values and
Corresponding Singular Vectors of a Matrix",
journal = "ACM Trans. Math. Software",
volume = "7",
pages = "149--169",
kwds = "svd, lanczos"
}
@inproceedings{golp:79,
author = "G. H. Golub and F. T. Luk and M. Pagano",
year = "1979",
title = "A Sparse Least Squares Problem in Photogrammetry",
booktitle = "Proceedings of the Computer Science and Statistics
12th Annual Symposium on the Interface",
editor = "J. F. Gentleman",
publisher = "University of Waterloo, Canada",
pages = "26--30",
kwds = "sparse, nestdis"
}
@article{gomt:86,
author = "G. H. Golub and P. Manneback and P. Toint",
year = "1986",
title = "A Comparison Between some Direct and Iterative Methods for
Large Scale Geodetic Least Squares Problems",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "7",
pages = "799--816",
kwds = "sparse, nestdis, iter, cg, precond"
}
@inproceedings{gosv:95,
author = "G. H. Golub and K. Solna and P. {Van Dooren}",
year = "1995",
title = "A {QR}-Like {SVD} Algorithm for a Product/Quotient of
Several Matrices",
booktitle = "{SVD} and Signal Processing, III: Algorithms,
Architectures and Applications",
editor = "M. Moonen and B. {De Moor}",
pages = "139--147",
publisher = "Elsevier Science B.V., Amsterdam",
kwds = "gqrd, gsvd"
}
@article{goma:91,
author = "G. H. Golub and U. von Matt",
year = "1991",
title = "Quadratically Constrained Least Squares and Quadratic Problems",
journal = "Numer. Math.",
volume = "59",
pages = "561--580",
kwds = "regul, constr",
}
@article{gona:82,
author = "G. H. Golub and S. G. Nash",
year = "1982",
title = " Nonorthogonal Analysis of Variance using a Generalized
Conjugate-Gradient Algorithm",
journal = "J. Amer. Statist. Assoc.",
volume = "77",
pages = "109--116",
kwds = "cg, stat",
}
@article{gopedupl:73,
author = "G. H. GOLUB and V. PEREYRA",
year = "1973",
title = "The Differentiation of Pseudoinverses and Nonlinear
Least Squares Problems Whose Variables Separate",
journal = "SIAM J. Numer. Anal.",
volume = "10",
pages = "413--432",
kwds = "pert, ginv, varpro,"
}
@inproceedings{gope:76,
author = "G. H. Golub and V. Pereyra",
year = "1976",
title = "Differentiation of Pseudoinverses, Separable
Nonlinear Least Squares Problems and Other Tales",
booktitle = "Generalized Inverses and Applications",
editor = "M. Z. Nashed",
pages = "303--324",
publisher = "Academic Press, New York",
kwds = "pert, ginv, varpro,"
}
@article{gopl:80,
author = "G. H. Golub and R. J. Plemmons",
year = "1980",
title = "Large-Scale Geodetic Least-Squares Adjustment by Dissection
and Orthogonal Decomposition",
journal = "Linear Algebra Appl.",
volume = "34",
pages = "3--28",
kwds = "sparse, qrd, geod, nestdis"
}
@inproceedings{gops:88,
author = "G. H. Golub and R. J. Plemmons and A. Sameh",
year = "1988",
title = "Parallel Block Schemes for Large-Scale Least-Squares Computations",
pages = "171-179",
booktitle = "High-Speed Computing, Scientific Applications and Algorithm
Design",
publisher = "University of Illinois Press",
address = "",
kwds = "iter, prll"
}
@article{gore:70,
author = "G. H. Golub and C. Reinsch",
year = "1970",
title = "Singular Value Decomposition and Least Squares Solution",
journal = "Numer. Math.",
volume = "14",
pages = "403--420",
kwds = "svd, rank, reg"
}
@inproceedings{gosa:70,
author = "G. H. Golub and M. A. Saunders",
year = "1970",
title = "Linear Least Squares and Quadratic Programming",
pages = "229--256",
booktitle = "Integer and Nonlinear Programming",
editor = "J. Abadie",
publisher = "North-Holland, Amsterdam",
kwds = "qrd, opt, quadpr"
}
@article{gost:73,
author = "G. H. Golub and G. P. Styan",
year = "1973",
title = "Numerical Computations for Univariate Linear Models",
journal = "J. Statist. Comput. Simul.",
volume = "2",
pages = "253-274",
kwds = "stat, regr, qrd"
}
@techreport{goun:69,
author = "G. H. Golub and R. Underwood",
year = "1969",
title = "Stationary Values of the Ratio of Quadratic Forms Subject to
Linear Constraints",
institution = "Computer Science Department, Stanford University, CA",
type = "{Tech. Report}",
number = "CS-142",
note = "",
kwds = "geig, regul"
}
@inproceedings{govl:79,
author = "G. H. Golub and C. F. {Van Loan}",
year = "1979",
title = "Total least squares",
pages = "69--76",
booktitle = "Smoothing Techniques for Curve Estimation",
editor = "T. Gasser and M. Rosenblatt",
publisher = "Springer-Verlag, New York",
kwds = "svd, tls"
}
@article{govl:80,
author = "G. H. Golub and C. F. {Van Loan}",
year = "1980",
title = "An Analysis of the Total Least Squares Problem",
journal = "SIAM J. Numer. Anal.",
volume = "17",
pages = "883-893",
kwds = "svd, tls"
}
@book{govl:89,
author = "G. H. Golub and C. F. {Van Loan}",
year = "1989",
title = "Matrix Computations, {\rm 2nd ed.}",
publisher = "Johns Hopkins University Press",
address = "Baltimore",
kwds = "la, survey"
}
@article{gova:61,
author = "G. H. Golub and R. S. Varga",
year = "1961",
title = "{Chebyshev} semi-iterative methods, successive Overrelaxation
Iterative Methods and Second Order {Richardson} Iterative
Methods, {Parts I and II}",
journal = "Numer. Math.",
volume = "3",
pages = "147--168",
kwds = "iter"
}
@inproceedings{gowi:65,
author = "G. H. Golub and J. H. Wilkinson",
year = "1965",
title = "Iterative Refinement of Least Squares Solutions",
booktitle = "Proceedings of the IFIP Congress 65, New York, 1965",
editor = "W. A. Kalenich",
pages = "606--607",
publisher = "Spartan Books, Washington",
kwds = "ir, qrd, err"
}
@article{gowi:66,
author = "G. H. Golub and J. H. Wilkinson",
year = "1966",
title = "Note on the Iterative Refinement of Least Squares Solution",
journal = "Numer. Math.",
volume = "9",
pages = "139-148",
kwds = "ir, qrd, err"
}
@article{gozh:94,
author = "G. H. Golub and H. Zha",
year = "1994",
title = "Perturbation Analysis of the Canonical Correlation of Matrix Pairs",
journal = "Linear Algebra Appl.",
volume = "210",
pages = "3--28",
kwds = "pert, err"
}
gr-
@article{grha:84,
author = "W. H. Gragg and W. J. Harrod",
year = "1984",
title = "The Numerically Stable Reconstruction of {Jacobi} Matrices
from Spectral Data",
journal = "Numer. Math.",
volume = "44",
pages = "317--335",
kwds = "eigv"
}
@article{gram:1883,
author = "J. P. Gram",
year = "1883",
title = "{\"U}ber die {E}ntwickelung reeller {F}unktionen in {R}eihen
mittelst der {M}ethode der kleinsten {Q}uadrate",
journal = "J. Reine Angew. Math.",
volume = "94",
pages = "41--73",
kwds = "grsch"
}
@article{gree:89,
author = "A. Greenbaum",
year = "1989",
title = "Behavior of Slightly Perturbed {Lanczos} and
Conjugate-gradient Recurrences",
journal = "Linear Algebra Appl.",
volume = "113",
pages = "7--63",
kwds = "cg, lanczos"
}
@article{grst:92,
author = "A. Greenbaum and Z. Strakos",
year = "1992",
title = "Predicting the Behavior of Finite Precision {Lanczos} and
Conjugate Gradient Computations",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "13",
pages = "121-137",
kwds = "cg, lanczos"
}
@article{grev:66,
author = "T. E. Greville",
year = "1966",
title = "Note on the Generalized Inverse of a Matrix Product",
journal = "SIAM Review",
volume = "8",
pages = "518--521",
kwds = "ginv"
}
@book{grhi:85,
author = "P. Griffiths and I. D. Hill",
year = "1985",
title = "Applied Statistical Algorithms",
publisher = "Ellis Horwood Ltd.",
address = "Chichester, UK",
kwds = "stat"
}
@article{grle:81,
author = "R.G. Grimes and J.G. Lewis",
year = "1981",
title = "Condition Number Estimation for Sparse Matrices",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "2",
pages = "384--388",
kwds = "cond, sparse"
}
@article{gros:80,
author = "E. Grosse",
year = "1980",
title = "Tensor Spline Approximations",
journal = "Linear Algebra Appl.",
volume = "34",
pages = "29--41",
kwds = "sparse, kron"
}
@techreport{GuEisenstat:92,
author = "M. Gu and S. C. Eisenstat",
year = "1992",
title = "A Divide-And-Conquer Algorithm for the Bidiagonal {SVD}",
institution = "Department of Computer Science, Yale University",
address = "New Haven, CT",
type = "{Tech. Report}",
number = "YALEU/DCS/RR-933",
kwds = "svd, downd",
}
@techreport{guei:93b,
author = "M. Gu and S. C. Eisenstat",
year = "1993",
title = "A Stable and Fast Algorithm for Updating the Singular Value Decomposition",
institution = "Department of Computer Science, Yale University",
address = "New Haven, CT",
type = "{Tech. Report}",
number = "YALEU/DCS/RR-966",
kwds = "svd, downd",
}
@techreport{GuEisenstat:94,
author = "M. Gu and S. C. Eisenstat",
year = "1994",
title = "An Efficient Algorithm for Computing a Strong
Rank-Revealing {QR} Decomposition",
institution = "Department of Computer Science, Yale University",
address = "New Haven, CT",
type = "{Tech. Report}",
number = "YALEU/DCS/RR-967",
kwds = "rrqrd",
}
@article{guei:95,
author = "M. Gu and S. C. Eisenstat",
year = "1995",
title = "A Divide-and-Conquer Algorithm for the Bidiagonal {SVD}",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "16",
pages = "79--92",
kwds = "svd, prll",
}
@article{guei:95a,
author = "M. Gu and S. C. Eisenstat",
year = "1995",
title = "Downdating the Singular Value Decomposition",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "16",
pages = "793--810",
kwds = "svd, downd",
}
@phdthesis{gull:93,
author = "M. Gulliksson",
year = "1993",
title = "Algorithms for Overdetermined Systems of Equations",
school = "Institute of Information Processing, University of Ume{\aa}",
address = "Ume{\aa}, Sweden",
type = "{Ph. D.} thesis",
number = "UMINF 93-11",
kwds = "qrd, wlsq,nlsq"
}
@article{gull:94,
author = "M. Gulliksson",
year = "1994",
title = "Iterative Refinement for Constrained and Weighted Linear Least Squares",
journal = "BIT",
volume = "34",
pages = "239--253",
kwds = "err, ir, wlsq, qrd",
}
@article{gull:95,
author = "M. Gulliksson",
year = "1995",
title = "Backward Error Analysis for the Constrained and Weighted Linear
Least Squares Problem when Using the Weighted {QR} Decomposition",
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institution = "Institute of Information Processing, University of Ume\aa",
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AUTHOR = {HANSEN, P.C.},
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NOTE = {Numerical aspects of linear inversion},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
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PAGES = {xvi+247},
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institution = "Boeing Information and Support Services",
address = "Seattle, WA",
type = "{Tech. Report}",
number = "MEA-TR-193-Revised",
kwds = "sparse, qrd"
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pl-
@article{plac:72,
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number = "\#982",
kwds = "toep, rls"
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po-
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pu-
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ra- re-
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%re-
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%ri-
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%ru-
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rut-
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sa-
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sc-
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address = "Germany",
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title = "Algorithm {\rm 533}, {NSPIV}, a {FORTRAN} Subroutine for Sparse
{Gaussian} Elimination with Partial Pivoting",
journal = "ACM Trans. Math. Software",
volume = "4",
pages = "391--398",
kwds = "sparse, lud"
}
@article{sieg:65,
author = "I. H. Siegel",
year = "1965",
title = "Deferment of Computation in the Method of Least Squares",
journal = "Math. Comp.",
volume = "19",
pages = "329--331",
kwds = "augms"
}
sk-
@article{skee:79,
author = "R. D. Skeel",
year = "1979",
title = "Scaling for Numerical Stability in {Gaussian} Elimination",
journal = "J. Assoc. Comput. Mach.",
volume = "26",
pages = "494--526",
kwds = "scale, lud"
}
@article{skee:80,
author = "R. D. Skeel",
year = "1980",
title = "Iterative Refinement Implies Numerical Stability for {Gaussian}
Elimination",
journal = "Math. Comp.",
volume = "35",
pages = "817--832",
kwds = "ir, lud"
}
sl-
@article{slui:69,
author = "A. van der Sluis",
year = "1969",
title = "Condition Numbers and Equilibration of Matrices",
journal = "Numer. Math.",
volume = "14",
pages = "14--23",
kwds = "pert, cond, scale"
}
@article{slui:75,
author = "A. van der Sluis",
year = "1975",
title = "Stability of the Solutions of Linear Least Squares
Problems",
journal = "Numer. Math.",
volume = "23",
pages = "241--254",
kwds = "err, pert"
}
@article{slve:79,
author = "A. van der Sluis and G. Veltkamp",
year = "1979",
title = "Restoring Rank and Consistency by Orthogonal Projection",
journal = "Linear Algebra Appl.",
volume = "28",
pages = "257--278",
kwds = "rank, orth"
}
@incollection{slvo:87,
author = "A. van der Sluis and H. van der Vorst",
year = "1987",
title = "Numerical Solution of Large Sparse Linear Equations and
Least Squares Problems",
booktitle = "Seismic Tomography",
editor = "G. Nolet",
publisher = "Reidel, Dordrecht, the Netherlands",
pages = "49--83",
kwds = "rank, orth"
}
@article{slvo:90,
author = "A. van der Sluis and H. van der Vorst",
year = "1990",
title = "{SIRT-} and {CG-}Type Methods for Iterative Solution of
Sparse Linear Least-Squares Problems",
journal = "Linear Algebra Appl.",
volume = "130",
pages = "257--302",
kwds = "iter, cg"
}
@phdthesis{sode:93,
author = "I. S{\"o}derquist",
year = "1993",
title = "Computing Parameters in Nonlinear Least Squares Models",
school = "University of Ume{\aa}",
institution = "Department of Computer Science",
address = "Sweden",
type = "{Ph. D.} thesis",
kwds = "nlsq, constr"
}
%st-
@article{spat:82,
author = "H. Sp{\"a}th",
year = "1982",
title = "On Discrete Linear Orthogonal $L_p$ Approximation",
journal = "Z. Angew. Math. Mech.",
volume = "62",
pages = "354--355",
kwds = "nlsq, geom"
}
@article{spat:86,
author = "H. Sp{\"a}th",
year = "1986",
title = "Orthogonal Least Squares Fitting with Linear Manifolds",
journal = "Numer. Math.",
volume = "48",
pages = "441--445",
kwds = "nlsq, geom"
}
@article{spat:90,
author = "H. Sp{\"a}th",
year = "1990",
title = "Modified {Gram-Schmid}t for Solving Linear Least Squares Problems
is Equivalent to {Gaussian} Elimination for the Normal Equations",
journal = "Appl. Math.",
volume = "20",
pages = "587--589",
kwds = "ne, grsch"
}
@book{spat:92,
author = "H. Sp{\"a}th",
year = "1992",
title = "Mathematical Algorithms for Linear Regression",
publisher = "Academic Press",
address = "New York",
kwds = "regr, stat, survey"
}
@article{stew:69,
author = "G.W. STEWART",
year = "1969",
title = "On the Continuity of the Generalized Inverse",
journal = "SIAM J. Appl. Math.",
volume = "17",
pages = "33--45",
kwds = "nla, pert, ginv"
}
@book{stew:73,
author = "G.W. STEWART",
year = "1973",
title = "Introduction to Matrix Computations",
publisher = "Academic Press",
address = "New York",
kwds = "nla, survey"
}
@article{stew:76,
author = "G.W. STEWART",
year = "1976",
title = "The Economical Storage of Plane Rotations",
journal = "Numer. Math.",
volume = "25",
pages = "137--138.",
kwds = "qrd, rot"
}
@article{stew:77,
author = "G.W. STEWART",
year = "1977",
title = "Perturbation Bounds for the {QR} Factorization of a Matrix",
journal = "SIAM J. Numer. Anal.",
volume = "14",
pages = "509--518",
kwds = "err, qrd"
}
@inproceedings{stew:77a,
author = "G.W. STEWART",
year = "1977",
title = "Research Development and {LINPACK}",
booktitle = "Mathematical Software III",
editor = "J. R. Rice",
publisher = "Academic Press, New York",
pages = "1-14",
kwds = "soft, pert, survey"
}
@article{stew:77b,
author = "G.W. STEWART",
year = "1977",
title = "On the Perturbation of Pseudo-Inverses, Projections, and Linear
Least Squares Problems",
journal = "SIAM Review",
volume = "19",
pages = "634-662",
kwds = "nla, pert, ginv, orth"
}
@article{stew:79,
author = "G.W. STEWART",
year = "1979",
title = "The Effects of Rounding Error on an Algorithm for Downdating a
{Cholesky} Factorization",
journal = "J. Inst. Maths. Applic.",
volume = "23",
pages = "203-213",
kwds = "nla, err, downd, chol"
}
@article{stew:79a,
author = "G.W. STEWART",
year = "1979",
title = "A Note on the Perturbation of Singular Values",
journal = "Linear Algebra Appl.",
volume = "28",
pages = "213--216",
kwds = "svd, pert"
}
@article{stew:80,
author = "G.W. STEWART",
year = "1980",
title = "The Efficient Generation of Random Orthogonal Matrices
with an Application to Condition Estimators",
journal = "SIAM J. Numer. Anal.",
volume = "17",
pages = "403--404",
kwds = "nla, rand, qrd, cond, orth"
}
@article{stew:81,
author = "G.W. STEWART",
year = "1981",
title = "On the Implicit Deflation of Nearly Singular Systems of Linear
Equations",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "2",
pages = "136--140",
kwds = "rank,ginv"
}
@article{stew:82,
author = "G.W. STEWART",
year = "1982",
title = "Computing the {CS} Decomposition of a
Partitioned Orthogonal Matrix",
journal = "Numer. Math.",
volume = "40",
pages = "297-306",
kwds = "svd, csd, orth"
}
@inproceedings{stew:83,
author = "G.W. STEWART",
year = "1983",
title = "A Method for Computing the Generalized Singular Value
Decomposition",
pages = "207--220",
booktitle = "Matrix Pencils. Proceedings, Pite Havsbad, 1982",
editor = "B. K{\aa}gstr{\"o}m and A. Ruhe",
publisher = "Springer-Verlag, Berlin",
series = "Lecture Notes in Mathematics",
volume = "973",
kwds = "gsvd"
}
@techreport{stew:83a,
author = "G.W. STEWART",
year = "1983",
title = "A Generalization of the {Eckart-Young} Approximation Theorem",
institution = "Department of Computer Science,
University of Maryland",
address = "College Park, MD",
number = "TR-1325",
kwds = "pert, max, tls"
}
@techreport{stew:83b,
author = "G.W. STEWART",
year = "1983",
title = "A Nonlinear Version of {Gauss's} Minimum Variance Theorem
with Applications to an Errors-in-the-Variables Model",
institution = "Department of Computer Science, University of Maryland",
address = "College Park, MD",
type = "{Tech. Report}",
number = "TR-1263",
kwds = "tls, regr, nlsq, pert"
}
@article{stew:84,
author = "G.W. STEWART",
year = "1984",
title = "Rank Degeneracy",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "5",
pages = "403--413",
kwds = "rank, rrqrd"
}
@article{stew:84a,
author = "G.W. STEWART",
year = "1984",
title = "On the Invariance of Perturbed Null Vectors under Column Scaling",
journal = "Numer. Math.",
volume = "44",
pages = "61--65",
kwds = "scale, pert"
}
@article{stew:84b,
author = "G.W. STEWART",
year = "1984",
title = "On the Asymptotic Behavior of Scaled Singular and {QR} Decompositions",
journal = "Math. Comp.",
volume = "43(168)",
pages = "168--489",
kwds = "rank, rrqrd"
}
@article{stew:87,
author = "G.W. STEWART",
year = "1987",
title = "Collinearity and Least Squares Regression",
journal = "Statistical Science",
volume = "2",
pages = "68-100",
kwds = "stat, regr, tls, rank"
}
@article{stew:90,
author = "G.W. STEWART",
year = "1990",
title = "On Scaled Projections and Pseudoinverses",
journal = "Linear Algebra Appl.",
volume = "132",
pages = "115--117",
kwds = "wlsq"
}
@inproceedings{stew:90a,
author = "G.W. STEWART",
year = "1990",
title = "Perturbation Theory and Least Squares with Errors in
the Variables",
booktitle = "Contemporary Mathematics 112: Statistical
Analysis of Measurement Error Models and
Applications",
editor = "P. J. Brown and W. A. Fuller",
pages = "171--181",
publisher = "American Mathematical Society, Providence, RI",
kwds = "stat, pert, regr"
}
@techreport{stew:91,
author = "G.W. STEWART",
year = "1991",
title = "On an Algorithm for Refining a Rank-Revealing {URV}
Factorization and a Perturbation Theorem for Singular Values",
institution = "Department of Computer Science, University of Maryland",
address = "College Park, MD",
type = "{Tech. Report}",
number = "UMIACS-TR-91-38, CS-TR-2626",
kwds = "rrqrd, pert, svd"
}
@article{stew:92,
author = "G.W. STEWART",
year = "1992",
title = "An Updating Algorithm for Subspace Tracking",
journal = "IEEE Trans. Signal Processing",
volume = "40",
pages = "1535--1541",
kwds = "upd, rrqrd"
}
@article{stew:93a,
author = "G.W. STEWART",
year = "1993",
title = "Updating a Rank-Revealing {ULV} Decomposition",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "14",
pages = "494--499",
kwds = "upd, rrqrd"
}
@article{stew:93b,
author = "G.W. STEWART",
year = "1993",
title = "On the Perturbation of {LU}, {Cholesky}, and {QR} Factorizations",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "14",
pages = "1141--1145",
kwds = "pert, qrd, chol"
}
@article{stew:93c,
author = "G.W. STEWART",
year = "1993",
title = "On the Early History of the Singular Value Decomposition",
journal = "SIAM Review",
volume = "35",
pages = "551--566",
kwds = "svd, hist"
}
@techreport{stew:94,
author = "G.W. STEWART",
year = "1994",
title = "On the Stability of Sequential Updates and Downdates",
institution = "Department of Computer Science, University of Maryland",
address = "College Park, MD",
type = "{Tech. Report}",
number = "CS-TR-3238",
kwds = "downd, stab"
}
@book{stsu:90,
author = "G.W. STEWART and J.{-G}. SUN",
year = "1990",
title = "Matrix Perturbation Theory",
publisher = "Academic Press",
address = "Boston",
kwds = "pert, survey"
}
@article{stie:52,
author = "E. Stiefel",
year = "1952/53",
title = "{Ausgleichung ohne Aufstellung der Gausschen Normalgleichungen}",
journal = "Wiss. Z. Tech. Hochsch. Dresden",
volume = "2",
pages = "441--442",
kwds = "cg, iter"
}
@article{stie:77,
author = "S. M. Stigler",
year = "1977",
title = "An Attack on {Gauss}, Published by {Legendre} in {\rm 1820}",
journal = "Hist. Math.",
volume = "4",
pages = "31--35",
kwds = "hist"
}
@article{stie:81,
author = "S. M. Stigler",
year = "1981",
title = "{Gauss} and the Invention of Least Squares",
journal = "Ann. Statist.",
volume = "9",
pages = "465--474",
kwds = "hist"
}
@article{stie:1887,
author = "T. J. Stieltjes",
year = "1887",
title = "Sur les racines de l'{\'e}quation $x_n=0$",
journal = "Acta. Math.",
volume = "9",
pages = "385--400",
kwds = "iter"
}
@article{stoe:71,
author = "J. Stoer",
year = "1971",
title = "On the Numerical Solution of Constrained Least Squares Problems",
journal = "SIAM J. Numer. Anal.",
volume = "8",
pages = "382--411",
kwds = "constr, upd"
}
@article{stra:91,
author = "Z. Strakos",
year = "1991",
title = "On the Real Convergence of the Conjugate Gradient Method",
journal = "Linear Algebra Appl.",
volume = "154/156",
pages = "535--549",
kwds = "cg, lanczos, iter"
}
@article{stra:74,
author = "C. N. Strand",
year = "1974",
title = "Theory and Methods Related to the Singular Function
Expansion and {Landweber's} Iteration for Integral
Equations of the First Kind",
journal = "SIAM J. Numer. Anal.",
volume = "11",
pages = "798--825",
kwds = "iter, regul"
}
%su-
@techreport{sunc:95,
author = "C. Sun",
year = "1995",
title = "Parallel Solution of Sparse Linear Least Squares Problems on
Distributed-Memory Multiprocessors",
institution = "Advanced Computing Research Institute, Cornell University",
address = "Ithaca, NY",
type = "{Tech. Report}",
number = "CTC95TR212, 05/95",
kwds = "sparse, qrd, prll"
}
@article{sunc:96,
author = "C. Sun",
year = "1996",
title = "Parallel Sparse Orthogonal Factorization on
Distributed-Memory Multiprocessors",
journal = "SIAM J. Sci. Comput.",
note = "to appear",
volume = "",
pages = "",
kwds = "sparse, qrd, prll"
}
@article{sun:91,
author = "J.-G. Sun",
year = "1991",
title = "Perturbation Bounds for the {Cholesky} and {QR} Factorizations",
journal = "BIT",
volume = "31",
pages = "341--352",
kwds = "pert, chol, qrd"
}
@article{sun:95a,
author = "J.-G. Sun",
year = "1995",
title = "Perturbation Analysis of the {Cholesky} Downdating and
{QR} Updating Problems",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "16",
pages = "760--775",
kwds = "err, pert, upd",
}
@article{sun:96,
author = "J.-G. Sun",
year = "1996",
title = "Optimal Backward Perturbation Bounds for the Linear {LS}
Problem With Multiple Right-Hand Sides",
journal = "IMA J. Numer. Anal.",
volume = "16",
pages = "1--11",
kwds = "err, pert",
}
%sw-
@article{swee:84,
author = "D. R. Sweet",
year = "1984",
title = "Fast {Toeplitz} Orthogonalization",
journal = "Numer. Math.",
volume = "43",
pages = "1--21",
kwds = "qrd, toep"
}
@article{swee:91,
author = "D. R. Sweet",
year = "1991",
title = "Fast Block {Toeplitz} Orthogonalization",
journal = "Numer. Math.",
volume = "58",
pages = "613--629",
kwds = "qrd, toep"
}
%ta-
@article{tana:71,
author = "K. Tanabe",
year = "1971",
title = "Projection Method for Solving a Singular System of
Linear Equations and its Applications",
journal = "Numer. Math.",
volume = "17",
pages = "203--214",
kwds = "iter, ginv"
}
@article{tang:94,
author = "P. T. P. Tang",
year = "1994",
title = "Dynamic Condition Estimation and {Rayleigh-Ritz} Approximation",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "331--346",
kwds = "cond"
}
@article{tago:81,
author = "W.-P. Tang and G. H. Golub",
year = "1987",
title = "The Block Decomposition of a {Vandermonde} Matrix and Its Applications",
journal = "BIT",
volume = "21",
pages = "505--517",
kwds = "block, vand"
}
@article{tarj:72,
author = "R. E. Tarjan",
year = "1972",
title = "Depth-first Search and Linear Graph Algorithms",
journal = "SIAM J. Comput.",
volume = "1",
pages = "146--159",
kwds = "sparse, graph"
}
@article{tewa:68,
author = "R. P. Tewarson",
year = "1968",
title = "A Computational Method for Evaluating Generalized Inverses",
journal = "Comput. J.",
volume = "10",
pages = "411--413",
kwds = "ginv"
}
@article{tiho:63,
author = "A.N. TIKHONOV",
year = "1963",
title = "Regularization of Incorrectly Posed Problems",
journal = "Soviet Math.",
volume = "4",
pages = "1624--1627",
kwds = "regul, survey"
}
@article{tiwa:67,
author = "W. F. Tinney and J. W. Walker",
year = "1967",
title = "Direct Solution of Sparse Network Equations by Optimally
Ordered Triangular Factorization",
journal = "Proc. IEEE",
volume = "55",
pages = "1801--1809",
kwds = "sparse"
}
@article{vest:91,
author = "N. Vempati and I. W. Slutsker and W. F. Tinney",
year = "1991",
title = "Enhancements to {Givens} Rotations for Power System State Estimation",
journal = "IEEE Trans. Power Systems",
volume = "6",
pages = "842--849",
kwds = "sparse"
}
@article{tsao:75,
author = "N.-K. Tsao",
year = "1975",
title = "A Note on Implementing the {Householder} Transformation",
journal = "SIAM J. Numer. Anal.",
volume = "12",
pages = "53--58",
kwds = "house"
}
@article{toin:87,
author = "P. L. Toint",
year = "1987",
title = "On Large Scale Nonlinear Least Squares Calculations",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "8",
pages = "416--435",
kwds = "sparse, nlsq"
}
@techreport{toin:87a,
author = "P. L. Toint",
year = "1987",
title = "{VE{\rm 10}AD} A routine for Large-Scale Nonlinear Least Squares",
type = "{Harwell} Subroutine Library",
institution = "AERE Harwell",
address = "Oxfordshire, UK",
kwds = "sparse, nlsq, soft"
}
@techreport{vhjs:76,
author = "J. {Van Heijst} and J. Jacobs and J. Scherders",
year = "1976",
title = "Kleinste-{Kvadraten} {Problemen}.",
institution = "Department of Mathematics, Eindhoven University of Technology",
address = "Eindhoven, the Netherlands",
type = "{Tech. Report}",
kwds = "iter, svd"
}
@phdthesis{vhuf:87,
author = "S. {Van Huffel}",
year = "1987",
title = "Analysis of the Total Least Squares Problem
and Its Use in Parameter Estimation",
school = "Katholieke Universiteit Leuven, Belgium",
institution = "ESAT Lab., Department of Electr. Eng.",
type = "{Ph. D.} thesis",
kwds = "tls, regr, thesis"
}
@article{vhuf:91,
author = "S. {Van Huffel}",
year = "1991",
title = "Iterative Algorithms for Computing the Singular Subspace
of a Matrix Associated with its Smallest Singular Values",
journal = "Linear Algebra Appl.",
volume = "154/156",
pages = "675--709",
kwds = "tls, iter"
}
@article{vhpa:95,
author = "S. {Van Huffel} and H. Park",
year = "1995",
title = "Efficient Reduction Algorithms for Bordered Band Matrices",
journal = "Numer. Linear Algebra Appl.",
volume = "2",
pages = "95--113",
kwds = "upd, svd"
}
@article{vhva:87,
author = "S. {Van Huffel} and J. Vandewalle",
year = "1987",
title = "Algebraic Relationships Between Classical Regression and Total
Least-squares Estimation",
journal = "Linear Algebra Appl.",
volume = "93",
pages = "149--162",
kwds = "tls"
}
@article{vhva:88a,
author = "S. {Van Huffel} and J. Vandewalle",
year = "1988",
title = "Analysis and Solution of the Nongeneric Total Least Squares Problem",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "9",
pages = "360--372",
kwds = "tls"
}
@article{vhva:89,
author = "S. {Van Huffel} and J. Vandewalle",
year = "1989",
title = "Analysis and Properties of the Generalized Total Least Squares
Problem {$AX \approx B$} when Some or all Columns in {$A$} are Subject
to Error",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "10",
pages = "294--315",
kwds = "tls"
}
@book{vhva:91,
author = "S. {Van Huffel} and J. Vandewalle",
year = "1991",
title = "The Total Least Squares Problem: Computational Aspects and Analysis",
publisher = "SIAM",
series = "Frontiers in Applied Mathematics",
volume = "9",
address = "Philadelphia",
kwds = "tls, survey"
}
@article{vhvh:87,
author = "S. {Van Huffel} and J. Vandewalle and A. Haegemans",
year = "1987",
title = "An Efficient and Reliable Algorithm for Computing the Singular
Subspace of a Matrix, Associated with its Smallest Singular Values",
journal = "J. Comp. Appl. Math.",
volume = "19",
pages = "313--330",
kwds = "tls, svd"
}
@article{vhzh:91,
author = "S. {Van Huffel} and H. Zha",
year = "1991",
title = "The Restricted Total Least Squares Problem: Formulation,
Algorithm, and Properties",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "12",
pages = "292--309",
kwds = "tls, svd"
}
@article{vhzh:93,
author = "S. {Van Huffel} and H. Zha",
year = "1993",
title = "An Efficient Total Least Squares Algorithm Based on a Rank
Revealing Two-sided Orthogonal Decomposition",
journal = "Numer. Algorithms",
volume = "4",
pages = "101--133",
kwds = "tls, svd"
}
@article{vanl:76,
author = "C. F. {Van Loan}",
year = "1976",
title = "Generalizing the Singular Value Decomposition",
journal = "SIAM J. Numer. Anal.",
volume = "13",
pages = "76--83",
kwds = "gsvd"
}
@inproceedings{vanl:83,
author = "C. F. {Van Loan}",
year = "1983",
title = "A Generalized {SVD} Analysis of Some Weighting Methods for
Equality Constrained Least Squares",
pages = "245--262",
booktitle = "Matrix Pencils. Proceedings, Pite Havsbad, 1982",
editor = "B. K{\aa}gstr{\"o}m and A. Ruhe",
publisher = "Springer-Verlag, Berlin",
series = "Lecture Notes in Mathematics",
volume = "973",
kwds = "constr, wlsq"
}
@article{vanl:85,
author = "C. F. {Van Loan}",
year = "1985",
title = "Computing the {CS} and the Generalized Singular Value Decomposition",
journal = "Numer. Math.",
volume = "46",
pages = "479--492",
kwds = "csd, gsvd"
}
@article{vanl:85a,
author = "C. F. {Van Loan}",
year = "1985",
title = "On the Method of Weighting for Equality Constrained Least Squares",
journal = "SIAM J. Numer. Anal.",
volume = "22",
pages = "851--864",
kwds = "constr, wlsq"
}
@book{vanl:92,
author = "C. F. {Van Loan}",
year = "1992",
title = "Computational Frameworks for the {Fourier} Transform",
publisher = "SIAM",
series = "Frontiers in Applied Mathematics",
volume = "10",
address = "Philadelphia",
kwds = "fft, survey"
}
@article{vara:73,
author = "J.M. Varah",
year = "1973",
title = "On the Numerical Solution of Ill-conditioned Linear Systems with
Applications to Ill-posed Problems",
journal = "SIAM J. Numer. Anal.",
volume = "10",
pages = "257--267",
kwds = "illp, regul"
}
@article{vara:75,
author = "J.M. Varah",
year = "1975",
title = "A Lower Bound for the Smallest Singular Value of a Matrix",
journal = "Linear Algebra Appl.",
volume = "11",
pages = "1--2",
kwds = "cond, svd"
}
@article{vara:79,
author = "J.M. Varah",
year = "1979",
title = "A Practical Examination of some Numerical Methods for Linear
Discrete Ill-posed Problems",
journal = "SIAM Review",
volume = "21",
pages = "100--111",
kwds = "illp, regul"
}
@article{vara:94,
author = "J.M. Varah",
year = "1994",
title = "Backward Error Estimates for {Toeplitz} Systems",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "408--417",
kwds = "err, toep"
}
@book{varg:62,
author = "R. S. Varga",
year = "1962",
title = "Matrix Iterative Analysis",
publisher = "Prentice-Hall",
address = "Englewood Cliffs, NJ",
kwds = "iter, survey"
}
@article{vava:94,
author = "S. A. Vavasis",
year = "1994",
title = "Stable Numerical Algorithms for Equilibrium Systems",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "1108--1131",
kwds = "wlsq"
}
@phdthesis{matt:93,
author = "U. von MATT",
year = "1993",
title = "Large Constrained Quadratic Problems",
school = "Institute for Scientific Computing, ETH",
address = "Z{\"u}rich, Switzerland",
type = "{Ph. D.} thesis",
kwds = "constr, nlsq"
}
@inproceedings{matt:95,
author = "U. von Matt",
year = "1995",
title = "The Orthogonal {QD}-Algorithm",
booktitle = "{SVD} and Signal Processing, III: Algorithms,
Architectures and Applications",
editor = "M. Moonen and B. {De Moor}",
pages = "99--106",
publisher = "Elsevier, Amsterdam",
kwds = "svd"
}
@phdthesis{wald:94,
author = "B. Wald\'en",
year = "1994",
title = "Least Squares Methods and Application in Robotics",
school = "Department of Mathematics, Link{\"o}ping University",
address = "Sweden",
type = "{Ph. D.} thesis",
kwds = "regul, nlsq"
}
@article{waks:95,
author = "B. Wald\'en and R. Karlsson and J.-G. Sun",
year = "1995",
title = "Optimal Backward Perturbation Bounds for the Linear Least
Squares Problem",
journal = "Numer. Linear Algebra Appl.",
volume = "2",
pages = "271--286",
kwds = "err, pert"
}
@article{wamp:69,
author = "R. H. Wampler",
year = "1969",
title = "An Evaluation of Linear Least Squares Computer Programs",
journal = "J. Res. Nat. Bur. Standards",
volume = "73B",
pages = "59--90",
kwds = "stat, regr, err, grsch, test"
}
@article{wamp:70,
author = "R. H. Wampler",
year = "1970",
title = "A Report on the Accuracy of some Widely Used Least Squares
Computer Programs",
journal = "J. Amer. Statist. Assoc.",
volume = "65",
pages = "549--565",
kwds = "err, test, grsch"
}
@inproceedings{wamp:72,
author = "R. H. Wampler",
year = "1972",
title = "Some Recent Developments in Linear Least Squares Computations",
booktitle = "Proceedings of the Computer Science and Statistics:
Sixth Annual Symposium on the Interface",
editor = "M.E. Tarter",
publisher = "Academic Press, New York",
pages = "94--110",
kwds = "grsch, stat"
}
@article{wamp:79,
author = "R. H. Wampler",
year = "1979",
title = "Solutions to Weighted Least Squares Problems by
Modified {Gram--Schmidt} with Iterative Refinement",
journal = "ACM Trans. Math. Software",
volume = "5",
pages = "457--465",
kwds = "qrd, grsch, ir, wlsq"
}
@article{wamp:79a,
author = "R. H. Wampler",
year = "1979",
title = "{L{\rm 2}A} and {L{\rm 2}B}, Weighted Least Squares Solutions by
Modified {Gram--Schmidt} with Iterative Refinement",
journal = "ACM Trans. Math. Software",
volume = "5",
pages = "494--99",
kwds = "qrd, grsch, ir, wlsq, soft, weights"
}
@article{wamp:80,
author = "R. H. Wampler",
year = "1980",
title = "Test Procedures and Test Problems for Least Squares Algorithms",
journal = "J. Econom.",
volume = "12",
pages = "3--22",
kwds = "test"
}
@phdthesis{wang:93,
author = "X. Wang",
year = "1993",
title = "Incomplete Factorization Preconditioning for Least Squares Problems",
school = "Department of Mathematics, University of Illinois at Urbana-Champaign",
address = "Urbana, IL",
type = "{Ph. D.} thesis",
kwds = "iter, precond"
}
@article{wagb:96,
author = "X. Wang and K. A. Gallivan and R. Bramley",
year = "1996",
title = "{CIMGS}: An Incomplete Orthogonal Factorization Preconditionier",
journal = "SIAM J. Sci. Comput.",
volume = "17",
note = "to appear",
pages = "",
kwds = "iter, precond"
}
@inproceedings{wats:84,
author = "G. A. Watson",
year = "1984",
title = "The Numerical Solution of Total $\ell_p$ Approximation
Problems",
booktitle = " Numerical Analysis. Proceedings of the 10th Biennial
Conference Dundee, Scotland 1983",
editor ="D.F. Griffiths",
publisher = "Springer-Verlag, Berlin",
series = " Lecture Notes in Mathematics",
volume = "630",
pages = "72--105",
kwds = "rob"
}
@techreport{wedi:72a,
author = "P.-{\AA}. Wedin",
year = "1972",
title = "The Non-Linear Least Squares Problem from a Numerical
Point of View. {I} {Geometrical} Properties",
institution = "Department of Computer Sciences, Lund University",
address = "Lund, Sweden",
type = "{Tech. Report}",
number = "",
kwds = "nlsq, pert"
}
@article{wedi:72,
author = "P.-{\AA}. Wedin",
year = "1972",
title = "Perturbation Bounds in Connection with the Singular Value
Decomposition",
journal = "BIT",
volume = "12",
pages = "99--111",
kwds = "svd, pert, rank"
}
@article{wedi:73a,
author = "P.-{\AA}. Wedin",
year = "1973",
title = "On the Almost Rank Deficient Case of the Least
Squares Problem",
journal = "BIT",
volume = "13",
pages = "344--354",
kwds = "pert, rank, svd"
}
@article{wedi:73b,
author = "P.-{\AA}. Wedin",
year = "1973",
title = "Perturbation Theory for Pseudo-Inverses",
journal = "BIT",
volume = "13",
pages = "217--232",
kwds = "pert, rank, ginv"
}
@techreport{wedi:74,
author = "P.-{\AA}. Wedin",
year = "1974",
title = "On the {Gauss-Newton} Method for the Nonlinear Least Squares Problems",
institution = "Institute for Applied Mathematics",
address = "Stockholm, Sweden",
type = "Working Paper",
number = "24",
kwds = "nlsq"
}
@techreport{wedi:78,
author = "P.-{\AA}. Wedin",
year = "1978",
title = "Perturbations of the Pseudo-Inverse and the Linear Least
Squares Problem Analysed with Suitable Matrix Decompositions",
institution = "Institute of Information Processing, University of Ume\aa",
address = "Sweden",
type = "{Tech. Report}",
number = "UMINF--69.78",
kwds = "pert, ginv"
}
@techreport{wedi:79,
author = "P.-{\AA}. Wedin",
year = "1979",
title = "Notes on the Constrained Linear Least Squares Problem. {A} New
Approach Based on Generalized Inverses",
institution = "Institute of Information Processing, University of Ume\aa",
address = "Sweden",
type = "{Tech. Report}",
number = "UMINF--75.79",
kwds = "constr, ginv"
}
@techreport{wedi:85,
author = "P.-{\AA}. Wedin",
year = "1985",
title = "Perturbation Theory and Condition Numbers for Generalized
and Constrained Linear Least Squares Problems",
institution = "Institute of Information Processing, University of Ume\aa",
address = "Sweden",
type = "{Tech. Report}",
number = "UMINF--125.85",
kwds = "pert, ginv, constr, cond, wlsq"
}
@article{wei:90,
author = "M. Wei",
year = "1990",
title = "Perturbation of the Least Squares Problem",
journal = "Linear Algebra Appl.",
volume = "141",
pages = "177--182",
kwds = "pert"
}
@article{wei:92,
author = "M. Wei",
year = "1992",
title = "The Analysis for the Total Least Squares Problems with
More than One Solution",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "13",
pages = "746--763",
kwds = "tls, pert"
}
@article{wei:92a,
author = "M. Wei",
year = "1992",
title = "Algebraic Relations Between the Total Least Squares and
Least Squares Problems with More than One Solution",
journal = "Numer. Math.",
volume = "62",
pages = "123--148",
kwds = "tls, pert"
}
@article{wei:92b,
author = "M. Wei",
year = "1992",
title = "Algebraic Properties of the Rank-Deficient Equality
Constrained and Weighted Least Squares Problem",
journal = "Linear Algebra Appl.",
volume = "161",
pages = "27--43",
kwds = "constr, pert"
}
@article{wei:92c,
author = "M. Wei",
year = "1992",
title = "Perturbation Theory for the Rank-Deficient Equality
Constrained and Weighted Least Squares Problem",
journal = "SIAM J. Numer. Anal.",
volume = "29",
pages = "1462--1481",
kwds = "constr, pert"
}
@article{weke:71,
author = "P. R. Weil and P. C. Kettler",
year = "1971",
title = "Rearranging Matrices to Block-angular Form for Decomposition
(and other) Algorithms",
journal = "Management Sci.",
volume = "18",
pages = "98--108",
kwds = "sparse, perm"
}
%wi-
@book{wilk:63,
author = "J. H. Wilkinson",
year = "1963",
title = "Rounding Errors in Algebraic Processes",
publisher = "Prentice-Hall",
address = "Englewood Cliffs, NJ",
kwds = "err, lud, survey"
}
@book{wilk:65,
author = "J. H. Wilkinson",
year = "1965",
title = "The Algebraic Eigenvalue Problem",
publisher = "Clarendon Press",
address = "Oxford, UK",
kwds = "nla, eig, err, survey"
}
@incollection{wilk:65a,
author = "J. H. Wilkinson",
year = "1965",
title = "Error Analysis of Transformations Based on the Use of Matrices
of the Form {$I-2xx^{\rm H}$}",
booktitle = "Error in Digital Computation",
editor = "L. B. Rall",
publisher = "John Wiley, New York",
pages = "77--101",
kwds = "err, house"
}
@inproceedings{wilk:68,
author = "J. H. Wilkinson",
year = "1968",
title = "A Priori Error Analysis of Algebraic Processes",
booktitle = "Proceedings International Congress Math.",
publisher = "Izdat. Mir, Moscow",
pages = "629--639.",
kwds = "chol, err"
}
@article{wilk:71,
author = "J. H. Wilkinson",
year = "1971",
title = "Modern Error Analysis",
journal = "SIAM Review",
volume = "13",
pages = "548--568",
kwds = "error, hist, survey"
}
@techreport{wilk:77a,
author = "J. H. Wilkinson",
year = "1977",
title = "The Use of Single Precision-Residuals in the Solution of
Linear Systems",
institution = "National Physical Laboratory",
address = "Teddington, UK",
type = "unpublished report",
kwds = "ir, err"
}
@inproceedings{wilk:77,
author = "J. H. Wilkinson",
year = "1977",
title = "Some recent advances in numerical linear algebra",
pages = "1--53",
booktitle = "The State of the Art in Numerical Analysis",
editor = "D.A.H. Jacobs",
publisher = "Academic Press, New York",
kwds = "nla"
}
@article{wilk:86,
author = "J. H. Wilkinson",
year = "1986",
title = "Error Analysis Revisited",
journal = "IMA Bulletin",
volume = "22",
pages = "192--200",
kwds = "error, hist"
}
@book{wire:71,
author = "J. H. Wilkinson and C. Reinsch",
year = "1971",
title = "Handbook for Automatic Computation Volume II. Linear Algebra",
publisher = "Springer-Verlag",
address = "New York",
kwds = "nla, soft, eig, svd, qrd, survey"
}
@article{witt:36,
author = "H. Wittmeyer",
year = "1936",
title = "{E}influss der {{\"A}nderung} einer {M}atrix auf der {L}{\"o}sung
des zugeh{\"o}rigen {G}leichungssystems, sowie auf die charakterischen
{Z}ahlen und die {E}igenvektoren",
journal = "Z. Angew. Math. Mech.",
volume = "16",
pages = "189--199",
kwds = "err"
}
@article{wrho:85,
author = "S. J. Wright and J. N. Holt",
year = "1985",
title = "Algorithms for Nonlinear Least Squares with Linear Inequality
Constraints",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "6",
pages = "1033--1048",
kwds = "nlsq, constr"
}
@article{yopa:96,
author = "K. Yoo and H. Park",
year = "1996",
title = "Accurate Downdating of a modified {Gram-Schmidt QR} Decomposition",
journal = "BIT",
volume = "36",
pages = "166--181",
kwds = "downd, qrd, grsch"
}
@book{youn:71,
author = "D. M. Young",
year = "1971",
title = "Iterative Solution of Large Linear Systems",
publisher = "Academic Press",
address = "New York",
kwds = "iter, survey"
}
@phdthesis{yuan:93,
author = "J.-Y. Yuan",
year = "1993",
title = "Iterative Methods for the Generalized Least-Squares Problem",
school = "Instituto de Matem\'atica Pura e Aplicada",
address = " Rio de Janeiro, Brazil",
type = "{Ph. D.} thesis",
kwds = "iter, thesis"
}
@article{yuan:93a,
author = "J.-Y. Yuan",
year = "1993",
title = "The Convergence of the {\rm 2}-block {SAOR} Method for the
Least-Squares Problem ",
journal = "Appl. Numer. Math.",
volume = "11",
pages = "429--441",
kwds = "iter"
}
%za-
@article{zha:91,
author = "H. Zha",
year = "1991",
title = "Implicit {QR} Factorization of a Product of Three Matrices",
journal = "BIT",
volume = "31",
pages = "375--379",
kwds = "qrd, ginv, test"
}
@article{zha:91a,
author = "H. Zha",
year = "1991",
title = "Restricted Singular Value Decomposition of Matrix Triples",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "12",
pages = "172--194",
kwds = "qrd, ginv, test"
}
@article{zha:92,
author = "H. Zha",
year = "1992",
title = "A Two-way Chasing Scheme for Reducing a Symmetric
Arrowhead Matrix to Tridiagonal Form",
journal = "J. Numerical Linear Algebra Appl.",
volume = "1",
pages = "49--57",
kwds = "svd, upd"
}
@article{zha:93,
author = "H. Zha",
year = "1993",
title = "A Componentwise Perturbation Analysis of the {$QR$} Decomposition",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "14",
pages = "1124--1131",
kwds = "qrd, pert"
}
@incollection{zele:62,
author = "M. Zelen",
year = "1962",
title = "Linear Estimation and Related Topics",
booktitle = "Survey of Numerical Analysis",
editor = "J. Todd",
publisher = "McGraw-Hill, New York",
pages = "558--584",
kwds = "stat, hist"
}
@article{ziel:86,
author = "G. Zielke",
year = "1986",
title = "Report on Test Matrices for Generalized Inverses",
journal = "Computing",
volume = "36",
pages = "105--162",
kwds = "ginv, test"
}
@phdthesis{zimm:77,
author = "P. Zimmermann",
year = "1977",
title = "{Ein Algorithmus zur L{\"o}sung linearer Least Squares Probleme
mit unteren und oberen Schranken als Nebenbedingungen}",
school = "Universit{\"a}t W{\"u}rzburg",
address = "Germany",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik",
type = "{D}iplomarbeit",
kwds = "constr"
}
@article{zlat:82,
author = "Z. Zlatev",
year = "1982",
title = "Comparison of Two Pivotal Strategies in Sparse Plane Rotations",
journal = " Comput. Math. Appl.",
volume = "8",
pages = "119--135",
kwds = "sparse, perm, rot"
}
@book{zlat:92,
author = "Z. Zlatev",
year = "1992",
title = "Computational Methods for General Sparse Matrices",
publisher = "Kluwer Academic Publishers",
address = "Norwell, MA",
kwds = "sparse, perm, rot"
}
@techreport{zlni:79,
author = "Z. Zlatev and H. Nielsen",
year = "1979",
title = "{LLSS{\rm 01}} - A {Fortran} Subroutine for Solving Least Squares
Problems ({User's} Guide)",
institution = "Institute of Numerical Analysis, Technical University of
Denmark",
address = "Lyngby, Denmark",
type = "{Tech. Report}",
number = "79-07",
kwds = "soft, sparse"
}
@article{zlni:88,
author = "Z. Zlatev and H. Nielsen",
year = "1988",
title = "Solving Large and Sparse Linear Least-Squares Problems by
Conjugate Gradient Algorithms",
journal = "Comput. Math. Appl.",
volume = "15",
pages = "185--202",
note = "",
kwds = "cg, precond, sparse, iter"
}
@unpublished{altkeys,
author = "Zzzzz, Rip van",
year = "1991",
title = "Alternate Key Words",
kwds = "augmented system (augms)
backward perturbation (pert),
banded least squares (band),
blas (blas),
block angular system (basys),
block methods (block),
Chebyshev approximation (cheb),
Cholesky (chol),
condition (cond),
conjugate gradients (cg),
constrained least squares (constr),
control theory (contr),
covariance matrix (covar),
CS decomposition (csd),
downdating (downd),
equilibration (scale),
error estimate (err),
generalized eigenvalue problems (geig),
fill-in (fill),
generalized inverse (ginv),
generalized linear model (glsq),
generalized QR decomposition (gqrd),
geodesy (geod),
generalized singular value decomposition (gsvd),
Givens rotation (rot),
graph theory (graph),
Gram-Schmidt (grsch),
history of least squares ( hist),
Householder (house),
hyperbolic rotation (hyp),
ill-posed (regul),
interior point methods (intpoint),
interval analysis (err),
iterative method (iter),
iterative refinement (ir),
Lanczos (lanczos),
linear algebra general (la),
LU decomposition (lud),
matrix approximation (max),
nested dissection (nestdis),
nonlinear least squares (nlsq),
normal equations (ne),
numerical linear algebra (nla)
optimization (opt),
ordering for sparsity (perm),
orthogonalization (orth),
orthogonal regression (orthreg),
precision (err),
preconditioning (precond),
pseudo-inverse (ginv),
parallel computation (prll),
perturbation theory (pert),
polynomial approximation (poly)
projection (orth),
QR decomposition (qrd),
quadratic programming (quadpr),
random matrix (rand),
rank degenerate problems (rank),
rank revealing QR factorization (rrqrd),
recursive least squares (rls),
regularization (regul),
regression (regr),
robust estimation (rob),
scaling (scale),
signal processing (sigp),
singular value decomposition (svd),
spline approximation (spline),
survey paper/book (survey),
systolic (syst),
software (soft),
sparse (sparse),
statistics (stat),
test matrix (test),
Toeplitz (toep),
total least squares (tls),
underdetermined systems (uds),
updating (upd),
variable projection (varpro),
vector processing (prll),
weighted least squares (wlsq)"
}
.daniela.bib0000640001023000102300000000220513223573436014021 0ustar hwolkowihwolkowicz# This file contains bib entries related to the quadratic assignment problem
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/qap.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
#
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
.danielc.bib0000640001023000102300000003473212346654602014035 0ustar hwolkowihwolkowicz# This file contains miscellaneous (mathematical) bib entries
## for Daniel 2010 for the nearest correlation matrix problem
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in this file .master.bib.
####
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
#### as part of:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
###
### I will also include these in the dedicated file .strings.bib
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
####
#### The string definitions are in this file .master.bib
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/master.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
###################################
###################################
###################################
####string definitions start - always in .master.bib file first.
#### i.e. changes are made in this file and copied to .strings.bib
#############
#############
########### definitions from Sturm start here
#### definitions are put at start - others follow below.
@STRING{ SV = "Springer-Verlag" }
@STRING{ MGH = "Mc{G}raw-Hill" }
@STRING{ W = "Wiley" }
@STRING{ JW = "John Wiley" }
@STRING{ WI = "Wiley-Interscience" }
@STRING{ PH = "Prentice-Hall" }
@STRING{ AW = "Addison-Wesley" }
@STRING{ PUP = "Princeton University Press" }
@STRING{ AP = "Academic Press" }
@STRING{ CUP = "Cambridge University Press" }
@STRING{ OUP = "Oxford University Press" }
@STRING{ ESP = "Elsevier Science Publisher B.V." }
@STRING{ KAP = "Kluwer Adademic Publishers" }
@STRING{ NY = "New York" }
@STRING{ B = "Berlin" }
@STRING{ NJ = "New Jersey" }
@STRING{ NH = "North-Holland" }
@STRING{ EIEUR = "Econometric Institute, Erasmus University Rotterdam" }
@STRING{ ROT = "Rotterdam, The Netherlands" }
@STRING{ S = "STURM, J.F."}
@STRING{ SZ = "STURM, J.F. and Zhang, S."}
@STRING{ LSZ = "LUO, Z.-Q. and STURM, J.F. and ZHANG, S."}
@STRING{ LS = "LUO, Z.-Q. and STURM, J.F."}
########### definitions from Sturm end here
#############################################
#############################################
# The following is from V. Balakrishnan on SDP and systems control
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
#############################################
@string{
ijrnc=
{Int.\ J.\ Robust and Nonlinear Control}
}
@string{
acc=
{Proc.\ American Control Conf.}
}
@string{
aut=
{Automatica}
}
@string{
tcst=
{IEEE Trans.\ Control Sys.\ Tech.}
}
@string{
csm=
{IEEE Control Syst.\ Mag.}
}
@string{
tac=
{IEEE Trans.\ Aut.\ Control}
}
@string{
scl=
{Syst.\ Control Letters}
}
@string{
arc=
{Automation and Remote Control}
}
@string{
cdc=
{Proc.\ IEEE Conf.\ on Decision and Control}
}
@string{
ieep=
{IEE Proc.}
}
#############################################
#############################################
##from Bertsimis
#############################################
@string{ICTA = {IEE Proc. -Control Theory Appl.}}
@String{IROS="IEEE Int. Conf. on Intelligent Robot Systems"}
@String{ICRA="Proc. IEEE Int. Conf. on Robotics and Automation"}
@String{IJRR = {Int. J. of Robot. Res.}}
@String{ITSMC ={IEEE Trans. Syst., Man, Cybern.}}
@String{ICMFIIS={Proc. IEEE/SICE/RSJ Int. Conf. on Multisensor Fusion
and Integration for Intelligent Systems}}
#############################################
#############################################
#############################################
####Start of strings - alphabetical order of journals -
#### changed in master.bib first
@string{toms = "ACM Transactions on Mathematical Software"}
@STRING{aer = "American Economic Review"}
@STRING{ajae = "Americal Journal of Agricultural Economics"}
@STRING{amerm = "Amer. Math. Monthly"}
@STRING{AMERMlong = "The American Mathematical Monthly"}
@STRING{amers = "Amer. Statist."}
@STRING{AMERlong = "The American Statistician"}
@STRING{aor = "Ann. of Oper. Res."}
@STRING{AORlong = "Annals of Operations Research"}
@string{adm = "Ann. Discrete Math."}
@string{ADMlong = "Annals of Discrete Mathematics"}
@STRING{ams = "Annals of Mathematical Statistics"}
@STRING{apmo = "Appl. Math. Optim."}
@STRING{APMOlong = "Applied Mathematics and Optimization"}
@STRING{ apnum = "Appl. Numer. Math."}
@STRING{ APNUMlong = "Applied Numerical Mathematics"}
@string{bell = "The Bell System Technical Journal"}
@string{ coap = "Comput. Optim. Appl."}
@string{ coa = "Comput. Optim. Appl."}
@string{ COAPlong = "Computational Optimization and Applications"}
@STRING{cjm = "Canadian Journal of Mathematics"}
@string{cacm = "Communications of the ACM"}
@STRING{ cor = "Comput. Oper. Res." }
@STRING{ CORlong = "Computer and Operations Research" }
@string{comp = "Computing"}
STRING{ CRAS = "Compt Rend Acad. Sci." }
@STRING{ CM = "Contemporary Mathematics" }
@STRING{ C = "Cybernetics" }
@STRING{cmj = "Czechoslovak Math. J."}
@STRING{dam = "Discrete Applied Mathematics"}
@STRING{dm = "Discrete Mathematics"}
@STRING{ ECPE = "Eng. Costs and Prod. Econ." }
@string{electjc = "Electronic J. Combinatorics"}
@string{ela = "Electronic J. Linear Algebra"}
@string{elalong = "The Electronic JOURNAL of Linear Algebra"}
@STRING{ejc = "European Journal of Combinatorics"}
@STRING{ ejor = "European J. Oper. Res."}
@STRING{ EJORlong = "European J. of Operational Research"}
@STRING{ glasgow = "Glasgow Math. J."}
@STRING{ glasgowlong = "Glasgow Mathematical Journal"}
@string{jogo = "J. Global Optim."}
@string{globalopt = "J. Global Optim."}
@string{GLOBALOPTlong = "Journal of Global Optimization"}
@STRING{ IEEEinfo = "IEEE Trans. Inform. Theory"}
@STRING{ IEEEinfolong = "IEEE Transactions on Information Theory"}
@string{ieeetc = "IEEE Trans. Computers"}
@string{ijnme = "International Journal for Numerical Methods in
Engineering"}
@STRING{ IJOPM= "Int. J. Oper. Prod. Manag." }
@STRING{ IJPE = "Int. J. Prod. Econ." }
@STRING{ IJPR = "Int. J. Prod. Res." }
@STRING{imajna = "IMA Journal of Numerical Analysis"}
@string{ja = "Journal of Algorithms"}
@STRING{ JAMS = "J. Australian Math. Soc."}
@STRING{ JAMSlong = "J. of the Australian Mathematical Society"}
@string{ JCAM = {J. of Comput. Appl. Mathem.}}
@string{ JCAMlong = {J. of Computational and Applied Mathematics}}
@STRING{jacm = "J. Assoc. Comput. Mach."}
@STRING{JACMlong = "Journal of the Association of Computing Machinery"}
@string{jco = "J. Comb. Optim."}
@string{JCOlong = "Journal of Combinatorial Optimization"}
@STRING{jct = "Journal of Combinatorial Theory"}
@STRING{jcta = "Journal of Combinatorial Theory (A)"}
@STRING{jctb= "Journal of Combinatorial Theory (B)"}
@STRING{jof= "J. Finance"}
@STRING{joflong= "Journal of Finance"}
@STRING{jmaa = "J. Math. Anal. Appl."}
@STRING{JMAAlong = "Journal of Mathematical Analysis and Applications"}
@STRING{ JORS = "J. Oper. Res. Soc." }
@STRING{ JRAM = "J. f{\"u}r die reine und angewandte {M}athematik"}
@STRING{ JRC = "J. of Regional Science" }
@string{jota = "J. Optim. Theory Applic."}
@STRING{JOTAlong = "Journal of Optimization Theory and Applications"}
@STRING{jrs = "Journal of Regional Science"}
@STRING{ JRNBS= "J. of Research of the National Bureau of Standards"}
@STRING{jrssa = "Journal of the Royal Statistical Society: Series~A"}
@string{laa = "Linear Algebra Appl."}
@string{LAAlong = "Linear Algebra and its Applications"}
@string{lama = "Linear and Multilinear Algebra"}
@STRING{ms = "Management Sci."}
@STRING{MSlong = "Management Science"}
@STRING{ MA = "Mathematische Annalen" }
@string{mcomp = "Math. Comp."}
@string{MCOMPlong = "Mathematics of Computation"}
@STRING{ MP = "Math. Programming" }
@string{mprog = "Math. Programming"}
@STRING{MPROGlong = "Mathematical Programming"}
@STRING{mp = "Math. Programming"}
@string{MPlong = {Mathematical Programming}}
@STRING{mpa = "Math. Programming, Series A"}
@STRING{mps = "Math. Programming Studies"}
@STRING{mpb = "Math. Programming, Series B"}
@STRING{ MPS = "Mathematical Programming Study" }
@STRING{mor = "Math. Oper. Res."}
@STRING{ MORlong = "Mathematics of Operations Research" }
@STRING{mathz = "Math. Z."}
@STRING{ nrlq = "Naval Res. Logist. Quart." }
@STRING{ NRLQlong = "Naval Research Logistics Quarterly" }
@STRING{ NRL = "Naval Research Logistics" }
@STRING{ N = "Networks" }
@string{OPTIMA = "Optima"}
@STRING{ OPTI = "Optimization" }
@string{ oms = "Optim. Methods Softw."}
@string{ OPSlong = "Optimization Methods and Software"}
@string{ornl = "Oak Ridge National Laboratory"}
@STRING{orl = "Operations Research Letters"}
@STRING{or = "Operations Research"}
@STRING{jorlong = "Journal of the Operations Research Society"}
@STRING{jor = "Oper. Res."}
@STRING{jors = "Oper. Res."}
@STRING{ ORQ = "Operations Research Quarterly" }
@STRING{pjm = "Pacific Journal of Mathematics"}
@string{pc = "Parallel Computing"}
@STRING{pams = "Proceedings of the American Mathematical Society"}
@STRING{rsue = "Regional Science and Urban Economics"}
@STRING{restud = "Review of Economics Studies"}
@STRING{ SIAM = "SIAM" }
@string{sijam = "SIAM J. Appl. Math."}
@string{SIJAMlong = "SIAM J. ON Applied Mathematics"}
@STRING{siad = "SIAM J. Algebraic Discrete Methods"}
@STRING{SIADlong = "SIAM Journal on Algebraic and Discrete Methods"}
@string{sdma = "SIAM J. Discrete Math."}
@string{SDMAlong = "SIAM Journal on Discrete Mathematics"}
@string{SIAGOPT = "SIAG/OPT Views-and-News"}
@STRING{ SRev = "SIAM Review" }
@STRING{ SJC = "SIAM J. on Computing" }
@STRING{ SJCO = "SIAM J. Control Optim." }
@STRING{ SJMA = "SIAM J. Math. Anal." }
@string{SJMAA = "SIAM J. Matrix Anal. Appl."}
@STRING{sijc = "SIAM J. on Computing"}
@STRING{SIJClong = "SIAM Journal on Computing"}
@string{sico = "SIAM J. Control Optim."}
@string{SICOlong = "SIAM J. on Control and Optimization"}
@string{simax = "SIAM J. Matrix Anal. Appl."}
@string{SIMAXlong = "SIAM J. on Matrix Analysis and Applications"}
@string{sinum = "SIAM J. Numer. Anal."}
@string{SINUMlong = "SIAM J. on Numerical Analysis"}
@STRING{sjna = "SIAM J. Numer. Anal."}
@STRING{SJNAlong = "SIAM J. on Numerical Analysis"}
@string{siopt = "SIAM J. Optim."}
@string{SIOPTlong = "SIAM Journal on Optimization"}
@string{sissc = "SIAM J. on Scientific and Statistical Computing"}
@string{sir = "SIAM Review"}
### start strings from Goemans
@string{stoc95 = "Proc. of the 27th {ACM} Symp. on
Theory Comput."}
@string{stoc97 = "Proc. of the 29th {ACM} Symp. on
Theory Comput."}
@string{stoc98 = "Proc. of the 30th {ACM} Symp. on
Theory Comput."}
@string{stoc99 = "Proc. of the 31st {ACM} Symp. on
Theory Comput."}
@string{focs97 = "Proc. 38th Symp. on
Found. of Comp. Sci."}
@string{soda00 = "Proc.11th {ACM-SIAM} Symp. on
Disc. Algs."}
### end strings from Goemans
@STRING{tr = "Transportation Research"}
@STRING{ts = "Transportation Science"}
@STRING{tams = "Transactions of the American Mathematical Society"}
@STRING{ TS = "Transportation Science" }
@STRING{utilmath = "Util. Math."}
@STRING{UTILMATHlong = "Utilitas Mathematica"}
########################end of string definitions#########
#######################################
@techreport{rebjac:99,
author = "R. REBONATO and P. JACKEL",
title = "The most general methodolog to create a valid correlation
matrix for risk management and option pricing purposes",
address = {Quantitative Research Centre of the NatWest Group}
}
@techreport{rankenburgelser:07,
AUTHOR = "I.C. RANKENBURG, V. ELSER",
TITLE = "Protein structure prediction by an iterative search method",
TYPE = "Report",
INSTITUTION = "Cornell University",
YEAR = "2007",
}
.deklerk.bib0000640001023000102300000005214612346654602014056 0ustar hwolkowihwolkowicz# This file contains papers from Etienne De Klerk - as of Jan/03
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
### ANOTHER IMPORTANT NOTE!!! The last entries are my publications.
## These are included since many are related to SDP.
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
%AAAAAAAAAAAA
@article {MR2002g:90070,
AUTHOR = {de Klerk, E. and Peng, J. and Roos, C. and Terlaky, T.},
TITLE = {A scaled {G}auss-{N}ewton primal-dual search direction for
semidefinite optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {11},
YEAR = {2001},
NUMBER = {4},
PAGES = {870--888 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C22 (65K05 90C53)},
MRNUMBER = {2002g:90070},
MRREVIEWER = {Franz Rendl},
}
@article {MR2001k:90047,
AUTHOR = {Bomze, Immanuel M. and D{\"u}r, Mirjam and de Klerk, Etienne
and Roos, Cornelis and Quist, Arie J. and Terlaky, Tam{\'a}s},
TITLE = {On copositive programming and standard quadratic optimization
problems},
NOTE = {GO'99 Firenze},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {18},
YEAR = {2000},
NUMBER = {4},
PAGES = {301--320},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C25 (90C22)},
MRNUMBER = {2001k:90047},
MRREVIEWER = {Carla Durazzi},
}
@article {MR2001a:90036,
AUTHOR = {de Klerk, Etienne and Van Maaren, Hans and Warners, Joost P.},
TITLE = {Relaxations of the satisfiability problem using semidefinite
programming},
JOURNAL = {J. Automat. Reason.},
FJOURNAL = {Journal of Automated Reasoning},
VOLUME = {24},
YEAR = {2000},
NUMBER = {1-2},
PAGES = {37--65},
ISSN = {0168-7433},
CODEN = {JAREEW},
MRCLASS = {90C22 (68Q25)},
MRNUMBER = {2001a:90036},
MRREVIEWER = {Franz Rendl},
}
@inproceedings {MR2000b:90050,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Primal-dual potential reduction methods for semidefinite
programming using affine-scaling directions},
BOOKTITLE = {Proceedings of the Stieltjes Workshop on High Performance
Optimization Techniques (HPOPT '96) (Delft)},
JOURNAL = {Appl. Numer. Math.},
FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal},
VOLUME = {29},
YEAR = {1999},
NUMBER = {3},
PAGES = {335--360},
ISSN = {0168-9274},
CODEN = {ANMAEL},
MRCLASS = {90C22 (90C60)},
MRNUMBER = {2000b:90050},
MRREVIEWER = {Jos F. Sturm},
}
@incollection {MR2000b:90049,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {On primal-dual path-following algorithms for semidefinite
programming},
BOOKTITLE = {New trends in mathematical programming},
SERIES = {Appl. Optim.},
VOLUME = {13},
PAGES = {137--157},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1998},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {2000b:90049},
MRREVIEWER = {Michael L. Dowling},
}
@article {MR99e:90071,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Polynomial primal-dual affine scaling algorithms in
semidefinite programming},
NOTE = {Semidefinite programming and interior-point approaches for
combinatorial optimization problems (Toronto, ON, 1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {51--69},
ISSN = {1382-6905},
MRCLASS = {90C26 (90C30)},
MRNUMBER = {99e:90071},
MRREVIEWER = {Michael L. Dowling},
}
@incollection {MR99b:90091,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Infeasible-start semidefinite programming algorithms via
self-dual embeddings},
BOOKTITLE = {Topics in semidefinite and interior-point methods (Toronto,
ON, 1996)},
SERIES = {Fields Inst. Commun.},
VOLUME = {18},
PAGES = {215--236},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1998},
MRCLASS = {90C25 (90C05)},
MRNUMBER = {99b:90091},
MRREVIEWER = {Jos F. Sturm},
}
@article {MR99a:90145,
AUTHOR = {Quist, A. J. and De Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Copositive relaxation for general quadratic programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {9},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {185--208},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C20},
MRNUMBER = {99a:90145},
}
@article {MR98f:90037,
AUTHOR = {He, B. and De Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Method of approximate centers for semi-definite programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3-4},
PAGES = {291--309},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C08 (90C30)},
MRNUMBER = {98f:90037},
}
@article {MR98d:90112,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Initialization in semidefinite programming via a self-dual
skew-symmetric embedding},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {20},
YEAR = {1997},
NUMBER = {5},
PAGES = {213--221},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C30},
MRNUMBER = {98d:90112},
}
@article {MR95e:90096,
AUTHOR = {de Klerk, E. and Snyman, J. A.},
TITLE = {A feasible descent cone method for linearly constrained
minimization problems},
JOURNAL = {Comput. Math. Appl.},
FJOURNAL = {Computers \& Mathematics with Applications. An International
Journal},
VOLUME = {28},
YEAR = {1994},
NUMBER = {6},
PAGES = {33--44},
ISSN = {0898-1221},
CODEN = {CMAPDK},
MRCLASS = {90C30 (90C05)},
MRNUMBER = {95e:90096},
}
@incollection {MR1900076,
AUTHOR = {de Klerk, E. and Warners, J. P.},
TITLE = {Semidefinite programming approaches for {MAX}-2-{SAT} and
{MAX}-3-{SAT}: computational perspectives},
BOOKTITLE = {Combinatorial and global optimization (Chania, 1998)},
SERIES = {Ser. Appl. Math.},
VOLUME = {14},
PAGES = {161--176},
PUBLISHER = {World Sci. Publishing},
ADDRESS = {River Edge, NJ},
YEAR = {2002},
MRCLASS = {90C27 (90C22)},
MRNUMBER = {1 900 076},
}
#################################new entries follow
@incollection {MR2123520,
AUTHOR = {de Klerk, Etienne and Laurent, Monique and Parrilo,
Pablo},
TITLE = {On the equivalence of algebraic approaches to the
minimization
of forms on the simplex},
BOOKTITLE = {Positive polynomials in control},
SERIES = {Lecture Notes in Control and Inform. Sci.},
VOLUME = {312},
PAGES = {121--132},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2005},
MRCLASS = {90C22 (93B25)},
MRNUMBER = {MR2123520 (2005j:90059)},
}
@article {MR2113467,
AUTHOR = {Halick{\'a}, M. and De Klerk, E. and Roos, C.},
TITLE = {Limiting behavior of the central path in semidefinite
optimization},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {20},
YEAR = {2005},
NUMBER = {1},
PAGES = {99--113},
ISSN = {1055-6788},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR2113467 (2005m:90078)},
}
@article {MR2092261,
AUTHOR = {de Klerk, E. and Pasechnik, D. V. and Warners, J. P.},
TITLE = {On approximate graph colouring and {MAX}-{$k$}-{CUT}
algorithms based on the {$\vartheta$}-function},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {8},
YEAR = {2004},
NUMBER = {3},
PAGES = {267--294},
ISSN = {1382-6905},
MRCLASS = {68W25 (05C15 05C85 90C09 90C22 90C27)},
MRNUMBER = {MR2092261 (2005h:68184)},
MRREVIEWER = {Mark R. Jerrum},
}
@article {MR2064275,
AUTHOR = {de Klerk, Etienne and Pasechnik, Dmitrii V.},
TITLE = {Products of positive forms, linear matrix inequalities,
and
{H}ilbert 17th problem for ternary forms},
JOURNAL = {European J. Oper. Res.},
FJOURNAL = {European Journal of Operational Research},
VOLUME = {157},
YEAR = {2004},
NUMBER = {1},
PAGES = {39--45},
ISSN = {0377-2217},
CODEN = {EJORDT},
MRCLASS = {90C22 (90C26)},
MRNUMBER = {MR2064275 (2005f:90081)},
MRREVIEWER = {Kenneth O. Kortanek},
}
@article {MR1969131,
AUTHOR = {de Klerk, E. and van Maaren, H.},
TITLE = {On semidefinite programming relaxations of
{$(2+p)$}-{SAT}},
NOTE = {Results on satisfiability in propositional logic},
JOURNAL = {Ann. Math. Artif. Intell.},
FJOURNAL = {Annals of Mathematics and Artificial Intelligence},
VOLUME = {37},
YEAR = {2003},
NUMBER = {3},
PAGES = {285--305},
ISSN = {1012-2443},
MRCLASS = {90C22 (68W25 90C70)},
MRNUMBER = {MR1969131},
}
@book {MR2064921,
AUTHOR = {de Klerk, Etienne},
TITLE = {Aspects of semidefinite programming},
SERIES = {Applied Optimization},
VOLUME = {65},
NOTE = {Interior point algorithms and selected applications},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {2002},
PAGES = {xvi+283},
ISBN = {1-4020-0547-4},
MRCLASS = {90-02 (90C22 90C51)},
MRNUMBER = {MR2064921 (2005a:90001)},
}
@article {MR2028030,
AUTHOR = {den Hertog, Dick and de Klerk, Etienne and Roos, Kees},
TITLE = {On convex quadratic approximation},
JOURNAL = {Statist. Neerlandica},
FJOURNAL = {Statistica Neerlandica. Journal of the Netherlands
Society for
Statistics and Operations Research},
VOLUME = {56},
YEAR = {2002},
NUMBER = {3},
PAGES = {376--385},
ISSN = {0039-0402},
MRCLASS = {90B22 (41A29 62J05)},
MRNUMBER = {MR2028030 (2004j:90028)},
MRREVIEWER = {Hou Duo Qi},
}
@article {MR1934026,
AUTHOR = {Bomze, Immanuel M. and De Klerk, Etienne},
TITLE = {Solving standard quadratic optimization problems via
linear,
semidefinite and copositive programming},
NOTE = {Dedicated to Professor Naum Z. Shor on his 65th
birthday},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {24},
YEAR = {2002},
NUMBER = {2},
PAGES = {163--185},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C20 (90C08 90C22)},
MRNUMBER = {MR1934026 (2003i:90048)},
MRREVIEWER = {Oliver Stein},
}
@article {MR1922510,
AUTHOR = {Halick{\'a}, M. and de Klerk, E. and Roos, C.},
TITLE = {On the convergence of the central path in semidefinite
optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {4},
PAGES = {1090--1099 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1922510 (2003h:90045)},
MRREVIEWER = {Jos F. Sturm},
}
@article {MR1922500,
AUTHOR = {de Klerk, E. and Pasechnik, D. V.},
TITLE = {Approximation of the stability number of a graph via
copositive programming},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {12},
YEAR = {2002},
NUMBER = {4},
PAGES = {875--892 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (05C85 68R10 68W25 90C25)},
MRNUMBER = {MR1922500 (2003g:90053)},
MRREVIEWER = {Koduvayur R. Parthasarathy},
}
@article {MR1855212,
AUTHOR = {de Klerk, E. and Peng, J. and Roos, C. and Terlaky, T.},
TITLE = {A scaled {G}auss-{N}ewton primal-dual search direction
for
semidefinite optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {11},
YEAR = {2001},
NUMBER = {4},
PAGES = {870--888 (electronic)},
ISSN = {1052-6234},
MRCLASS = {90C22 (65K05 90C53)},
MRNUMBER = {MR1855212 (2002g:90070)},
MRREVIEWER = {Franz Rendl},
}
@incollection {MR1778227a,
AUTHOR = {de Klerk, Etienne and Terlaky, Tam{\'a}s and Roos,
Kees},
TITLE = {Self-dual embeddings},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {111--138},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22},
MRNUMBER = {MR1778227},
}
@article {MR1750258,
AUTHOR = {de Klerk, Etienne and Van Maaren, Hans and Warners,
Joost P.},
TITLE = {Relaxations of the satisfiability problem using
semidefinite
programming},
JOURNAL = {J. Automat. Reason.},
FJOURNAL = {Journal of Automated Reasoning},
VOLUME = {24},
YEAR = {2000},
NUMBER = {1-2},
PAGES = {37--65},
ISSN = {0168-7433},
CODEN = {JAREEW},
MRCLASS = {90C22 (68Q25)},
MRNUMBER = {MR1750258 (2001a:90036)},
MRREVIEWER = {Franz Rendl},
}
@inproceedings {MR1677216,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Primal-dual potential reduction methods for semidefinite
programming using affine-scaling directions},
BOOKTITLE = {Proceedings of the Stieltjes Workshop on High
Performance
Optimization Techniques (HPOPT '96) (Delft)},
JOURNAL = {Appl. Numer. Math.},
FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal},
VOLUME = {29},
YEAR = {1999},
NUMBER = {3},
PAGES = {335--360},
ISSN = {0168-9274},
CODEN = {ANMAEL},
MRCLASS = {90C22 (90C60)},
MRNUMBER = {MR1677216 (2000b:90050)},
MRREVIEWER = {Jos F. Sturm},
}
@incollection {MR1641315,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {On primal-dual path-following algorithms for
semidefinite
programming},
BOOKTITLE = {New trends in mathematical programming},
SERIES = {Appl. Optim.},
VOLUME = {13},
PAGES = {137--157},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {1998},
MRCLASS = {90C22 (90C51)},
MRNUMBER = {MR1641315 (2000b:90049)},
MRREVIEWER = {Michael L. Dowling},
}
@article {MR1638386,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {A nonconvex weighted potential function for polynomial
target
following methods},
NOTE = {Applied mathematical programming and modeling, III
(APMOD95)
(Uxbridge)},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {81},
YEAR = {1998},
PAGES = {3--14},
ISSN = {0254-5330},
MRCLASS = {90C05},
MRNUMBER = {MR1638386},
}
@article {MR1618092,
AUTHOR = {Quist, A. J. and De Klerk, E. and Roos, C. and Terlaky,
T.},
TITLE = {Copositive relaxation for general quadratic
programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {9},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {185--208},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C20},
MRNUMBER = {MR1618092 (99a:90145)},
}
@article {MR1616870,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Polynomial primal-dual affine scaling algorithms in
semidefinite programming},
NOTE = {Semidefinite programming and interior-point approaches
for
combinatorial optimization problems (Toronto, ON,
1996)},
JOURNAL = {J. Comb. Optim.},
FJOURNAL = {Journal of Combinatorial Optimization},
VOLUME = {2},
YEAR = {1998},
NUMBER = {1},
PAGES = {51--69},
ISSN = {1382-6905},
MRCLASS = {90C26 (90C30)},
MRNUMBER = {MR1616870 (99e:90071)},
MRREVIEWER = {Michael L. Dowling},
}
@incollection {MR1607349,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Infeasible-start semidefinite programming algorithms via
self-dual embeddings},
BOOKTITLE = {Topics in semidefinite and interior-point methods
(Toronto,
ON, 1996)},
SERIES = {Fields Inst. Commun.},
VOLUME = {18},
PAGES = {215--236},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1998},
MRCLASS = {90C25 (90C05)},
MRNUMBER = {MR1607349 (99b:90091)},
MRREVIEWER = {Jos F. Sturm},
}
@article {MR1468949,
AUTHOR = {He, B. and De Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Method of approximate centers for semi-definite
programming},
JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods and Software},
VOLUME = {7},
YEAR = {1997},
NUMBER = {3-4},
PAGES = {291--309},
ISSN = {1055-6788},
CODEN = {OMSOE2},
MRCLASS = {90C08 (90C30)},
MRNUMBER = {MR1468949 (98f:90037)},
}
@incollection {MR1465717,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {A short survey on semidefinite programming},
BOOKTITLE = {Ten years LNMB},
SERIES = {CWI Tract},
VOLUME = {122},
PAGES = {323--339},
PUBLISHER = {Math. Centrum Centrum Wisk. Inform.},
ADDRESS = {Amsterdam},
YEAR = {1997},
MRCLASS = {90C30 (90C08)},
MRNUMBER = {MR1465717},
}
@article {MR1455072,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T.},
TITLE = {Initialization in semidefinite programming via a
self-dual
skew-symmetric embedding},
JOURNAL = {Oper. Res. Lett.},
FJOURNAL = {Operations Research Letters},
VOLUME = {20},
YEAR = {1997},
NUMBER = {5},
PAGES = {213--221},
ISSN = {0167-6377},
CODEN = {ORLED5},
MRCLASS = {90C30},
MRNUMBER = {MR1455072 (98d:90112)},
}
@article {MR1434351,
AUTHOR = {de Klerk, E. and Roos, C. and Terlaky, T. and Ill{\'e}s,
T. and de Jong, A. J. and Valk{\'o}, J. and Hoogenboom, J. E.},
TITLE = {Optimization of nuclear reactor reloading patterns},
JOURNAL = {Ann. Oper. Res.},
FJOURNAL = {Annals of Operations Research},
VOLUME = {69},
YEAR = {1997},
PAGES = {65--84},
ISSN = {0254-5330},
MRCLASS = {90C90 (90C30)},
MRNUMBER = {MR1434351},
}
@article {MR1290837,
AUTHOR = {de Klerk, E. and Snyman, J. A.},
TITLE = {A feasible descent cone method for linearly constrained
minimization problems},
JOURNAL = {Comput. Math. Appl.},
FJOURNAL = {Computers \& Mathematics with Applications. An
International
Journal},
VOLUME = {28},
YEAR = {1994},
NUMBER = {6},
PAGES = {33--44},
ISSN = {0898-1221},
CODEN = {CMAPDK},
MRCLASS = {90C30 (90C05)},
MRNUMBER = {MR1290837 (95e:90096)},
}
.detineq.bib0000640001023000102300000003277113255717354014074 0ustar hwolkowihwolkowicz# This file contains papers related to quasi-Newton methods
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/quasi.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
@article {MR3670787,
AUTHOR = {Lin, Minghua},
TITLE = {On a determinantal inequality arising from diffusion
tensor
imaging},
JOURNAL = {Commun. Contemp. Math.},
FJOURNAL = {Communications in Contemporary Mathematics},
VOLUME = {19},
YEAR = {2017},
NUMBER = {5},
PAGES = {1650044, 6},
ISSN = {0219-1997},
MRCLASS = {15A45 (15A60)},
MRNUMBER = {3670787},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1142/S0219199716500449},
}
@article {MR3668506,
AUTHOR = {Fu, Xiaohui and Liu, Yang and Liu, Shunqin},
TITLE = {Extension of determinantal inequalities of positive
definite
matrices},
JOURNAL = {J. Math. Inequal.},
FJOURNAL = {Journal of Mathematical Inequalities},
VOLUME = {11},
YEAR = {2017},
NUMBER = {2},
PAGES = {355--359},
ISSN = {1846-579X},
MRCLASS = {15A45 (47A63)},
MRNUMBER = {3668506},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.7153/jmi-11-31},
}
@article {MR3598819,
AUTHOR = {Kummer, Mario},
TITLE = {Determinantal representations and {B}\'ezoutians},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {285},
YEAR = {2017},
NUMBER = {1-2},
PAGES = {445--459},
ISSN = {0025-5874},
MRCLASS = {14P10 (11C20 52A20 90C22)},
MRNUMBER = {3598819},
MRREVIEWER = {Alja\v z Zalar},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s00209-016-1715-9},
}
@article {MR3564570,
AUTHOR = {Fu, Xiaohui and Liu, Yang},
TITLE = {Some determinantal inequalities for {H}adamard and {F}an
products of matrices},
JOURNAL = {J. Inequal. Appl.},
FJOURNAL = {Journal of Inequalities and Applications},
YEAR = {2016},
PAGES = {Paper No. 262, 7},
ISSN = {1029-242X},
MRCLASS = {15B48 (15A45 47A30 47A63)},
MRNUMBER = {3564570},
MRREVIEWER = {Xiao Xia Feng},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1186/s13660-016-1208-8},
}
@article {MR3557824,
AUTHOR = {Lin, Minghua},
TITLE = {The {H}ua matrix and inequalities related to contractive
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {511},
YEAR = {2016},
PAGES = {22--30},
ISSN = {0024-3795},
MRCLASS = {15A45 (15A42 47A30)},
MRNUMBER = {3557824},
MRREVIEWER = {Peter \v Semrl},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2016.09.003},
}
@article {MR3453314,
AUTHOR = {Choi, Daeshik},
TITLE = {Determinantal inequalities of positive definite matrices},
JOURNAL = {Math. Inequal. Appl.},
FJOURNAL = {Mathematical Inequalities \& Applications},
VOLUME = {19},
YEAR = {2016},
NUMBER = {1},
PAGES = {167--172},
ISSN = {1331-4343},
MRCLASS = {15B48 (15A45)},
MRNUMBER = {3453314},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.7153/mia-19-12},
}
@article {MR3458795,
AUTHOR = {Horv\'ath, L. and Khan, Kh. A. and Pe\v cari\'c, J.},
TITLE = {Refinements of determinantal inequalities of {J}ensen's
type},
JOURNAL = {Eurasian Math. J.},
FJOURNAL = {Eurasian Mathematical Journal},
VOLUME = {6},
YEAR = {2015},
NUMBER = {3},
PAGES = {30--44},
ISSN = {2077-9879},
MRCLASS = {26D15 (15B48 26D10)},
MRNUMBER = {3458795},
MRREVIEWER = {L. Losonczi},
}
@article {MR3356198,
AUTHOR = {Xue, Jianming and Hu, Xingkai},
TITLE = {On {F}ischer-type determinantal inequalities for
accretive-dissipative matrices},
JOURNAL = {J. Inequal. Appl.},
FJOURNAL = {Journal of Inequalities and Applications},
YEAR = {2015},
PAGES = {2015:194, 5},
ISSN = {1029-242X},
MRCLASS = {15A45},
MRNUMBER = {3356198},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1186/s13660-015-0721-5},
}
@article {MR3344752,
AUTHOR = {Lin, Minghua},
TITLE = {Determinantal inequalities for block triangular matrices},
JOURNAL = {Math. Inequal. Appl.},
FJOURNAL = {Mathematical Inequalities \& Applications},
VOLUME = {18},
YEAR = {2015},
NUMBER = {3},
PAGES = {1079--1086},
ISSN = {1331-4343},
MRCLASS = {15A45},
MRNUMBER = {3344752},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.7153/mia-18-83},
}
@article {MR3296137,
AUTHOR = {Fu, Xiaohui and He, Chuanjiang},
TITLE = {Determinantal inequalities for {H}adamard product of
{$M$}-matrices and inverse {$M$}-matrices},
JOURNAL = {Banach J. Math. Anal.},
FJOURNAL = {Banach Journal of Mathematical Analysis},
VOLUME = {9},
YEAR = {2015},
NUMBER = {3},
PAGES = {243--247},
ISSN = {1735-8787},
MRCLASS = {15A15 (15B48 47A63)},
MRNUMBER = {3296137},
MRREVIEWER = {Xingzhi Zhan},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.15352/bjma/09-3-17},
}
@article {MR1195972,
AUTHOR = {Drury, S.W. and Cload, B.},
TITLE = {On the determinantal conjecture of {M}arcus and de
{O}liveira},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {177},
YEAR = {1992},
PAGES = {105--109},
ISSN = {0024-3795},
MRCLASS = {15A15 (15A60)},
MRNUMBER = {1195972},
MRREVIEWER = {Natalia Bebiano},
DOI = {10.1016/0024-3795(92)90319-6},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(92)90319-6},
}
@article {MR3246944,
AUTHOR = {Drury, S. and Lin, M.},
TITLE = {Reversed {F}ischer determinantal inequalities},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {62},
YEAR = {2014},
NUMBER = {8},
PAGES = {1069--1075},
ISSN = {0308-1087},
MRCLASS = {15A45 (15A15)},
MRNUMBER = {3246944},
MRREVIEWER = {Fozi M. Dannan},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1080/03081087.2013.804919},
}
@article {MR3197973,
AUTHOR = {Pemantle, Robin and Peres, Yuval},
TITLE = {Concentration of {L}ipschitz functionals of determinantal
and
other strong {R}ayleigh measures},
JOURNAL = {Combin. Probab. Comput.},
FJOURNAL = {Combinatorics, Probability and Computing},
VOLUME = {23},
YEAR = {2014},
NUMBER = {1},
PAGES = {140--160},
ISSN = {0963-5483},
MRCLASS = {60G55 (60E15)},
MRNUMBER = {3197973},
MRREVIEWER = {Christian Rau},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1017/S0963548313000345},
}
@article {MR3109857,
AUTHOR = {Li, Chi-Kwong and Sze, Nung-Sing},
TITLE = {Determinantal and eigenvalue inequalities for matrices
with
numerical ranges in a sector},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {410},
YEAR = {2014},
NUMBER = {1},
PAGES = {487--491},
ISSN = {0022-247X},
MRCLASS = {15A60 (15A42)},
MRNUMBER = {3109857},
MRREVIEWER = {Changqing Xu},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jmaa.2013.08.040},
}
@article {MR3212958,
AUTHOR = {Yang, Junjian},
TITLE = {Some determinantal inequalities for accretive-dissipative
matrices},
JOURNAL = {J. Inequal. Appl.},
FJOURNAL = {Journal of Inequalities and Applications},
YEAR = {2013},
PAGES = {2013:512, 6},
ISSN = {1029-242X},
MRCLASS = {15A45 (15A15)},
MRNUMBER = {3212958},
MRREVIEWER = {Andr\'e Pierro de Camargo},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1186/1029-242X-2013-512},
}
@article {MR3116419,
AUTHOR = {Drury, S.W.},
TITLE = {Fischer determinantal inequalities and {H}igham's
conjecture},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {439},
YEAR = {2013},
NUMBER = {10},
PAGES = {3129--3133},
ISSN = {0024-3795},
MRCLASS = {15A15},
MRNUMBER = {3116419},
MRREVIEWER = {Ravindra B. Bapat},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2013.08.031},
}
@article {MR3112924,
AUTHOR = {Lytvynov, Eugene},
TITLE = {Determinantal point processes with {$J$}-{H}ermitian
correlation kernels},
JOURNAL = {Ann. Probab.},
FJOURNAL = {The Annals of Probability},
VOLUME = {41},
YEAR = {2013},
NUMBER = {4},
PAGES = {2513--2543},
ISSN = {0091-1798},
MRCLASS = {60G55 (47G10)},
MRNUMBER = {3112924},
MRREVIEWER = {Leonid Petrov},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1214/12-AOP795},
}
@article {MR3089438,
AUTHOR = {Fu, Xiaohui and He, Chuanjiang},
TITLE = {On some {F}ischer-type determinantal inequalities for
accretive-dissipative matrices},
JOURNAL = {J. Inequal. Appl.},
FJOURNAL = {Journal of Inequalities and Applications},
YEAR = {2013},
PAGES = {2013:316, 7},
ISSN = {1029-242X},
MRCLASS = {15A45 (15A15 26D20)},
MRNUMBER = {3089438},
MRREVIEWER = {Sang-Gu Lee},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1186/1029-242X-2013-316},
}
@article {MR3061385,
AUTHOR = {Lim, Yongdo},
TITLE = {Convex geometric means},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {404},
YEAR = {2013},
NUMBER = {1},
PAGES = {115--128},
ISSN = {0022-247X},
MRCLASS = {26E60 (15A60)},
MRNUMBER = {3061385},
MRREVIEWER = {Silvia Toader},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.jmaa.2013.03.006},
}
@article {MR3008536,
AUTHOR = {Lin, Minghua},
TITLE = {Fischer type determinantal inequalities for
accretive-dissipative matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {438},
YEAR = {2013},
NUMBER = {6},
PAGES = {2808--2812},
ISSN = {0024-3795},
MRCLASS = {15A45 (15A15)},
MRNUMBER = {3008536},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2012.11.016},
}
@article {MR3014737,
AUTHOR = {Lin, Minghua},
TITLE = {Reversed determinantal inequalities for
accretive-dissipative
matrices},
JOURNAL = {Math. Inequal. Appl.},
FJOURNAL = {Mathematical Inequalities \& Applications},
VOLUME = {15},
YEAR = {2012},
NUMBER = {4},
PAGES = {955--958},
ISSN = {1331-4343},
MRCLASS = {15A45 (15A15)},
MRNUMBER = {3014737},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.7153/mia-15-81},
}
@article {Oliveira:82,
AUTHOR = {de Oliveira, G.N.},
TITLE = {Research problem: normal matrices},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {12},
YEAR = {1982},
PAGES = {153--154}
}
@article {MR0314862,
AUTHOR = {Marcus, Marvin},
TITLE = {Derivations, {P}l\"ucker relations, and the numerical
range},
JOURNAL = {Indiana Univ. Math. J.},
FJOURNAL = {Indiana University Mathematics Journal},
VOLUME = {22},
YEAR = {1972/73},
PAGES = {1137--1149},
ISSN = {0022-2518},
MRCLASS = {15A15 (47A10)},
MRNUMBER = {0314862},
MRREVIEWER = {J. de Pillis},
DOI = {10.1512/iumj.1973.22.22094},
URL =
{https://doi-org.proxy.lib.uwaterloo.ca/10.1512/iumj.1973.22.22094},
}
.edm.bib0000640001023000102300000076504714173075736013222 0ustar hwolkowihwolkowicz% Encoding: UTF-8
@Preamble{
"\def\cprime{$'$} "
}
# This file contains papers related to Euclidean Distance Matrices,
# distance geometry, molecular conformation, multidimensional scaling
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/edm.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
####added by Dima FEb/2014
@article{Nathan_Henry,
Author = {Krislock, N. and Wolkowicz, H.},
Date-Added = {2014-02-01 12:01:56 -0500},
Date-Modified = {2014-02-01 12:02:24 -0500},
Doi = {10.1137/090759392},
Fjournal = {SIAM Journal on Optimization},
Issn = {1052-6234},
Journal = {SIAM J. Optim.},
Mrclass = {90C35 (90B10 90C22)},
Mrnumber = {2678410 (2011g:90208)},
Mrreviewer = {Michael Patriksson},
Number = {5},
Pages = {2679--2708},
Title = {Explicit sensor network localization using semidefinite
representations and facial reductions},
Url = {http://dx.doi.org/10.1137/090759392},
Volume = {20},
Year = {2010},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=2678410}}
####added by Dima JUL10/14
@article {rob_edm_min,
AUTHOR = {Javanmard, A. and Montanari, A.},
TITLE = {Localization from incomplete noisy distance measurements},
JOURNAL = {Found. Comput. Math.},
FJOURNAL = {Foundations of Computational Mathematics. The Journal of
the
Society for the Foundations of Computational Mathematics},
VOLUME = {13},
YEAR = {2013},
NUMBER = {3},
PAGES = {297--345},
ISSN = {1615-3375},
MRCLASS = {52C10 (05C80 51F99 60D05 94C99)},
MRNUMBER = {3047003},
MRREVIEWER = {Bhaswar B. Bhattacharya},
DOI = {10.1007/s10208-012-9129-5},
URL = {http://dx.doi.org/10.1007/s10208-012-9129-5},
}
@Article{Ding2016,
author="Ding, C.
and Qi, H.-D.",
title="Convex optimization learning of faithful Euclidean distance
representations in nonlinear dimensionality reduction",
journal="Mathematical Programming",
year="2016",
pages="1--41",
abstract="Classical multidimensional scaling only works well when the
noisy distances observed in a high dimensional space can be faithfully
represented by Euclidean distances in a low dimensional space. Advanced
models such as Maximum Variance Unfolding (MVU) and Minimum Volume
Embedding (MVE) use Semi-Definite Programming (SDP) to reconstruct such
faithful representations. While those SDP models are capable of
producing high quality configuration numerically, they suffer two major
drawbacks. One is that there exist no theoretically guaranteed bounds on
the quality of the configuration. The other is that they are slow in
computation when the data points are beyond moderate size. In this
paper, we propose a convex optimization model of Euclidean distance
matrices. We establish a non-asymptotic error bound for the random graph
model with sub-Gaussian noise, and prove that our model produces a
matrix estimator of high accuracy when the order of the uniform sample
size is roughly the degree of freedom of a low-rank matrix up to a
logarithmic factor. Our results partially explain why MVU and MVE often
work well. Moreover, the convex optimization model can be efficiently
solved by a recently proposed 3-block alternating direction method of
multipliers. Numerical experiments show that the model can produce
configurations of high quality on large data points that the SDP
approach would struggle to cope with.",
issn="1436-4646",
doi="10.1007/s10107-016-1090-7",
url="http://dx.doi.org/10.1007/s10107-016-1090-7"
}
####added by Dima JUL10/14
@article{BB93,
Author = {Bauschke, H.H. and Borwein, J.M.},
Coden = {SVANEG},
Doi = {10.1007/BF01027691},
Fjournal = {Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications},
Issn = {0927-6947},
Journal = {Set-Valued Anal.},
Mrclass = {65J05 (41A65 47H17 65K10)},
Mrnumber = {1239403 (95d:65048)},
Mrreviewer = {F. Deutsch},
Number = {2},
Pages = {185--212},
Title = {On the convergence of von {N}eumann's alternating projection algorithm for two sets},
Url = {http://dx.doi.org/10.1007/BF01027691},
Volume = {1},
Year = {1993},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01027691}}
@article{siam_rev,
author = {Bauschke, H.H. and Borwein, J.M.},
title = {On Projection Algorithms for Solving Convex Feasibility Problems},
journal = {SIAM Rev.},
issue_date = {Sept. 1996},
volume = {38},
number = {3},
month = sep,
year = {1996},
issn = {0036-1445},
pages = {367--426},
numpages = {60},
url = {http://dx.doi.org/10.1137/S0036144593251710},
doi = {10.1137/S0036144593251710},
acmid = {240442},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
keywords = {Cimmino's method, Fej{\'{e}}r monotone sequence, Hilbert space, Kaczmarz's method, Slater point, angle between two subspaces, averaged mapping, computerized tomography, convex feasibility problem, convex function, convex inequalities, convex programming, convex set, firmly nonexpansive mapping, image recovery, iterative method, linear convergence, linear feasibility problem, linear inequalities, nonexpansive mapping, orthogonal projection, projection algorithm, projection method, subdifferential, subgradient, subgradient algorithm, successive projections},
}
@article{conv_alt,
Author = {L.M. Bregman},
Journal = {Sov. Math. Dokl},
Pages = {688-692},
Title = {The method of successive projection for finding a common point of convex sets},
Volume = {6},
Year = {1965}}
@article{alt_genproj,
Author = {Lewis, A.S. and Luke, D.R. and Malick, J.},
Doi = {10.1007/s10208-008-9036-y},
Fjournal = {Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics},
Issn = {1615-3375},
Journal = {Found. Comput. Math.},
Mrclass = {49J53 (49M20 65K10 90C30)},
Mrnumber = {2519868 (2010d:49022)},
Mrreviewer = {Shawn Xianfu Wang},
Number = {4},
Pages = {485--513},
Title = {Local linear convergence for alternating and averaged nonconvex projections},
Url = {http://dx.doi.org/10.1007/s10208-008-9036-y},
Volume = {9},
Year = {2009},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10208-008-9036-y}}
@article{alt_man,
Author = {Lewis, A.S. and Malick, J.},
Doi = {10.1287/moor.1070.0291},
Fjournal = {Mathematics of Operations Research},
Issn = {0364-765X},
Journal = {Math. Oper. Res.},
Mrclass = {90C30 (49J53 65K10)},
Mrnumber = {2393548 (2009k:90110)},
Number = {1},
Pages = {216--234},
Title = {Alternating projections on manifolds},
Url = {http://dx.doi.org/10.1287/moor.1070.0291},
Volume = {33},
Year = {2008},
Bdsk-Url-1 = {http://dx.doi.org/10.1287/moor.1070.0291}}
@article{btheory,
Author = {Bauschke, H.H. and Luke, D.R. and Phan, H.M. and Wang, X.},
Doi = {10.1007/s11228-013-0239-2},
Issn = {1877-0533},
Journal = {Set-Valued and Variational Anal.},
Keywords = {Constraint qualification; Convex set; Friedrichs angle; Normal cone; Nonconvex set; Projection operator; Restricted normal cone; Superregularity; Primary 49J52; Secondary 47H09; 90C26},
Language = {English},
Pages = {1-43},
Publisher = {Springer Netherlands},
Title = {Restricted Normal Cones and the Method of Alternating Projections: Theory},
Url = {http://dx.doi.org/10.1007/s11228-013-0239-2},
Year = {2013},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s11228-013-0239-2}}
@article{altus,
Archiveprefix = {arXiv},
Author = {D. Drusvyatskiy and A.D. Ioffe and A.S. Lewis},
Eprint = {arXiv:1401.7569},
Institution = {arXiv [http://arXiv.org/oai2] (United States)},
Title = {Alternating projections and coupling slope},
Year = {2014}}
@article{Lions,
author = {Lions, P. and Mercier, B.},
title = {Splitting Algorithms for the Sum of Two Nonlinear Operators},
journal = {SIAM Journal on Numerical Analysis},
volume = {16},
number = {6},
pages = {964-979},
year = {1979},
doi = {10.1137/0716071},
URL = {
http://dx.doi.org/10.1137/0716071
},
eprint = {
http://dx.doi.org/10.1137/0716071
}
}
@techreport{altschuler2021wasserstein,
title={Wasserstein barycenters are NP-hard to compute},
author={J.M. Altschuler and E. Boix-Adsera},
year={2021},
eprint={2101.01100},
archivePrefix={arXiv},
primaryClass={math.OC}
}
@techreport{altschuler2020wasserstein,
title={Wasserstein barycenters can be computed in polynomial time in fixed dimension},
author={J.M. Altschuler and E. Boix-Adsera},
year={2020},
eprint={2006.08012},
archivePrefix={arXiv},
primaryClass={math.OC}
}
@article{fran,
year={2013},
issn={0022-3239},
journal={Journal of Optimization Theory and Applications},
doi={10.1007/s10957-013-0488-0},
title={Recent Results on {D}ouglas-{R}achford Methods for Combinatorial Optimization Problems},
url={http://dx.doi.org/10.1007/s10957-013-0488-0},
publisher={Springer US},
keywords={Douglas Rachford; Projections; Reflections; Combinatorial optimization; Modelling; Feasibility; Satisfiability; Sudoku; Nonograms},
author={Arag\'on Artacho, F.J. and Borwein, J.M. and Tam, M.K.},
pages={1-30},
language={English}
}
@article{thi,
author = {Elser, V. and Rankenburg, I. and Thibault, P.},
title = {Searching with iterated maps},
volume = {104},
number = {2},
pages = {418-423},
year = {2007},
doi = {10.1073/pnas.0606359104},
abstract ={In many problems that require extensive searching, the solution can be described as satisfying two competing constraints, where satisfying each independently does not pose a challenge. As an alternative to tree-based and stochastic searching, for these problems we propose using an iterated map built from the projections to the two constraint sets. Algorithms of this kind have been the method of choice in a large variety of signal-processing applications; we show here that the scope of these algorithms is surprisingly broad, with applications as diverse as protein folding and Sudoku.},
URL = {http://www.pnas.org/content/104/2/418.abstract},
eprint = {http://www.pnas.org/content/104/2/418.full.pdf+html},
journal = {Proceedings of the National Academy of Sciences}
}
@article {phase,
AUTHOR = {Bauschke, H.H. and Combettes, P.L. and Luke, D.R.},
TITLE = {Phase retrieval, error reduction algorithm, and {F}ienup
variants: a view from convex optimization},
JOURNAL = {J. Opt. Soc. Amer. A},
FJOURNAL = {Journal of the Optical Society of America A. Optics, Image
Science, and Vision},
VOLUME = {19},
YEAR = {2002},
NUMBER = {7},
PAGES = {1334--1345},
ISSN = {1084-7529},
CODEN = {JOAOD6},
MRCLASS = {94A12},
MRNUMBER = {1914365 (2003f:94012)},
MRREVIEWER = {Michael M. Dediu},
DOI = {10.1364/JOSAA.19.001334},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1364/JOSAA.19.001334},
}
#######################################
#######################################
%AAAAAAAAAAAA
@techreport{RanRaiHero:09,
AUTHOR = {R. RANGARAJAN and R. RAICH and A.O. Hero III},
TITLE = {EUCLIDEAN MATRIX COMPLETION PROBLEMS IN TRACKING AND
GEO-LOCALIZATON},
YEAR = {2009},
institution = {University of Michigan},
address = {Ann Arbor, MI}}
@article {MR1771209,
AUTHOR = {LARCHER, G. and SCHMID, W.Ch. and WOLF, R.},
TITLE = {On the approximation of certain mass distributions appearing
in distance geometry},
JOURNAL = {Acta Math. Hungar.},
FJOURNAL = {Acta Mathematica Hungarica},
VOLUME = {87},
YEAR = {2000},
NUMBER = {4},
PAGES = {295--316},
ISSN = {0236-5294},
MRCLASS = {51-XX},
MRNUMBER = {1 771 209},
}
@incollection {MR1763275,
AUTHOR = {TUY, H.},
TITLE = {Global optimization methods for location and distance geometry
problems},
BOOKTITLE = {Progress in optimization (Perth, 1998)},
PAGES = {3--20},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C90 (65D18 90B85)},
MRNUMBER = {1 763 275},
}
@incollection {MR2040368,
AUTHOR = {An, L.T. and Tao, P.D.},
TITLE = {An new algorithm for solving large scale molecular
distance
geometry problems},
BOOKTITLE = {High performance algorithms and software for nonlinear
optimization (Erice, 2001)},
SERIES = {Appl. Optim.},
VOLUME = {82},
PAGES = {285--302},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Norwell, MA},
YEAR = {2003},
MRCLASS = {90C26 (65Kxx)},
MRNUMBER = {2 040 368}
}
@article {MR1741912,
AUTHOR = {Johnson, C.R. and SMITH, R.L.},
TITLE = {The positive definite completion problem relative to a
subspace},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {307},
YEAR = {2000},
NUMBER = {1-3},
PAGES = {1--14},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {1 741 912},
MRREVIEWER = {Shu An Hu},
}
@BOOK{alfm18,
AUTHOR ="Alfakih, A.Y.",
TITLE ="Euclidean distance matrices and their applications in rigidity
theory",
PUBLISHER="Springer"}
YEAR=2018 }
@article{alf05,
AUTHOR = {Alfakih, A.Y.},
TITLE = "On the nullspace, the rangespace and the
charactersitic
polynomial of {E}uclidean distance matrices",
TYPE = "Submitted",
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
volume = "to appear",
pages = " ",
NUMBER = " ",
INSTITUTION = "Dept. of Math. and Stats., University of Windsor",
YEAR = "2006",
}
@techreport{alf07d,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the uniqueness of generic bar-and-joint frameworks},
YEAR = {2007},
institution = {University of Windsor},
address = {Windsor, Ontario}}
@article {MR2001b:05137,
AUTHOR = {Alfakih, A.Y.},
TITLE = {Graph rigidity via {E}uclidean distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {310},
YEAR = {2000},
NUMBER = {1-3},
PAGES = {149--165},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (52C25 94C15)},
MRNUMBER = {2001b:05137},
MRREVIEWER = {J. E. Graver}}
@article {Alfakih:01,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On rigidity and realizability of weighted graphs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {325},
YEAR = {2001},
NUMBER = {1-3},
PAGES = {57--70}}
@article {ar78,
AUTHOR = {ASIMOW, L. and ROTH, B.},
TITLE = {The rigidity of graphs},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {245},
YEAR = {1978},
PAGES = {279--289},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57M15 (05C10 52A40 53B50 73K05)},
MRNUMBER = {MR511410 (80i:57004a)},
MRREVIEWER = {G. Laman} }
@article {ar79,
AUTHOR = {ASIMOW, L. and ROTH, B.},
TITLE = {The rigidity of graphs. {II}},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {68},
YEAR = {1979},
NUMBER = {1},
PAGES = {171--190},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {57M15 (05C10 52A40 53B50 73K05)},
MRNUMBER = {MR531431 (80i:57004b)},
MRREVIEWER = {G. Laman} }
@incollection {con99,
AUTHOR = {CONNELLY, R.},
TITLE = {Tensegrity frameworks:{W}hy are they stable?},
BOOKTITLE = {Rigidity theory and applications},
PAGES = {47--54},
PUBLISHER = {Kluwer Academic/Plenum Publishers},
ADDRESS = {New York},
YEAR = {1999},
}
@article {MR2295049,
AUTHOR = {BELK, M. and CONNELLY, R.},
TITLE = {Realizability of graphs},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International
Journal
of Mathematics and Computer Science},
VOLUME = {37},
YEAR = {2007},
NUMBER = {2},
PAGES = {125--137},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {05C62 (05C10 05C12 51K99 52C25 57M15)},
MRNUMBER = {MR2295049 (2007k:05147)},
MRREVIEWER = {Alexander I. Barvinok},
DOI = {10.1007/s00454-006-1284-5},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s00454-006-1284-5},
}
@techreport{ConnellySloughter2004,
AUTHOR = {R. Connelly and M. SLOUGHTER},
TITLE = {Realizability of Graphs},
YEAR = {2004},
institution = {Dept. of Math., Cornell University},
address = {Ithaca, NY} }
@techreport{ConnellyGortler2014,
AUTHOR = {R. Connelly and M. Gortler},
TITLE = {iterative universal rigidity},
YEAR = {2014},
institution = {Dept. of Math., Cornell University},
address = {Ithaca, NY} }
@techreport{Connelly2009,
AUTHOR = {R. Connelly},
TITLE = {Tensegrities and global rigidity},
YEAR = {2009},
institution = {Dept. of Math., Cornell University},
address = {Ithaca, NY} }
@article {con05,
AUTHOR = {Connelly, R.},
TITLE = {Generic global rigidity},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {549--563},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {05C62 (52C25)},
MRNUMBER = {MR2132290 (2005m:05154)},
MRREVIEWER = {Tiong Seng Tay} }
@incollection {con93,
AUTHOR = {CONNELLY, R.},
TITLE = {Rigidity},
BOOKTITLE = {Handbook of convex geometry, {V}ol.\ {A}, {B}},
PAGES = {223--271},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1993},
MRCLASS = {52C25 (70C20 73K99)},
MRNUMBER = {MR1242981 (94j:52041)},
MRREVIEWER = {Tiong Seng Tay} }
@incollection {con91,
AUTHOR = {CONNELLY, R.},
TITLE = {On generic global rigidity},
BOOKTITLE = {Applied geometry and discrete mathematics},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {4},
PAGES = {147--155},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1991},
MRCLASS = {52C25},
MRNUMBER = {MR1116345 (92g:52022)},
MRREVIEWER = {Ethan D. Bolker} }
@article {con82,
AUTHOR = {CONNELLY, R.},
TITLE = {Rigidity and energy},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {66},
YEAR = {1982},
NUMBER = {1},
PAGES = {11--33},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {52A25 (51M20 73K99)},
MRNUMBER = {MR652643 (83m:52012)},
MRREVIEWER = {B. G. Roth} }
@article {MR2001a:92024,
AUTHOR = {MOR{\'E}, J.J. and WU, Z.},
TITLE = {Distance geometry optimization for protein structures},
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 = {15},
YEAR = {1999},
NUMBER = {3},
PAGES = {219--234},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92D20 (51K99 92-04)},
MRNUMBER = {2001a:92024} }
@article {Neumaier:81,
AUTHOR = {Neumaier, A.},
TITLE = {Distance matrices, dimension and conference graphs},
JOURNAL = {Nederl. Akad. Wetensch. Indag. Math.},
VOLUME = {43},
YEAR = {1981},
PAGES = {385--391}
}
@article {neu80,
AUTHOR = {Neumaier, A.},
TITLE = {Distances, graphs and designs},
JOURNAL = {Europ. J. Combinatorics},
VOLUME = {1},
YEAR = {1980},
PAGES = {163--174}
}
@techreport{Benasseni:05,
AUTHOR = {B\'ENASS\'ENI, J.},
TITLE = {A variance inequality ensuring that a predistance matrix
is {E}uclidean},
YEAR = {2005},
institution = {Univ. de Haute Bretagne},
address = {Rennes, France} }
@book {MR2000m:90004,
TITLE = {Progress in optimization},
EDITOR = {Yang, Xiaoqi and Mees, Alistair I. and Fisher, Mike and
Jennings, Les},
NOTE = {Contributions from Australasia,
Papers from the 5th Miniconference on Optimization Days held
at the University of Western Australia, Perth, June 29--30,
1998},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {2000},
PAGES = {xx+342},
ISBN = {0-7923-6286-1},
MRCLASS = {90-06 (49-06)},
MRNUMBER = {2000m:90004} }
@proceedings {MR2000m:90003,
TITLE = {Optimization},
BOOKTITLE = {Proceedings of the 9th Belgian-French-German Conference held
in Namur, September 7--11, 1998},
EDITOR = {Nguyen, Van Hien and Strodiot, Jean-Jacques and Tossings,
Patricia},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2000},
PAGES = {x+497},
ISBN = {3-540-66905-1},
MRCLASS = {90-06 (49-06)},
MRNUMBER = {2000m:90003} }
@article {MR2000m:62035,
AUTHOR = {Gower, J.},
TITLE = {Geometry, algebra and data analysis},
JOURNAL = {Math. Sci.},
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@phdthesis{cassioli:08,
author = "A. Cassioli",
year = 2008,
title = "Global optimization of highly multimodal problems",
school = "Universita di Firenze,
Dipartimento di sistemi e informatica,
Via di S.Marta 3, 50139 Firenze, Italy"
}
@phdthesis{danielkim:06,
author = "D.S. KIM",
year = 2006,
title = "Sensor Network Localization Based on Natural Phenomena",
school = "Dept, Electr. Eng. and Comp. Sc., MIT",
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MRNUMBER = {2000g:62012},
}
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MRNUMBER = {2000f:92035},
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@book {MR2000c:90005,
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AUTHOR = {Kotowicz, J.},
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VOLUME = {25},
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NUMBER = {4},
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MRCLASS = {42C15 (39B32 47B38)},
MRNUMBER = {2000c:42029},
MRREVIEWER = {Peter A. McCoy},
}
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VOLUME = {288},
YEAR = {1999},
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CODEN = {LAAPAW},
MRCLASS = {15A09 (15A48 15A57)},
MRNUMBER = {2000c:15004},
MRREVIEWER = {R. A. Horn},
}
@proceedings {MR2000c:00041,
TITLE = {Trends in mathematical physics},
BOOKTITLE = {Proceedings of the conference held at the University of
Tennessee, Knoxville, TN, October 14--17, 1998},
EDITOR = {Alexiades, Vasilios and Siopsis, George},
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YEAR = {1999},
PAGES = {xii+528},
ISBN = {0-8218-2006-0},
MRCLASS = {00B25},
MRNUMBER = {2000c:00041},
}
@incollection {MR2000a:62144,
AUTHOR = {Rivas Moya, Teresa},
TITLE = {Obtaining disparities as slopes of greatest minorant convex},
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MRCLASS = {62H99 (62F30)},
MRNUMBER = {2000a:62144},
}
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CODEN = {JECMB6},
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MRNUMBER = {99m:62082},
}
@book {MR99m:32026,
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MRREVIEWER = {William A. Cherry},
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MRCLASS = {92E10 (81V45)},
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MRREVIEWER = {T. W. Barrett},
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BOOKTITLE = {Proceedings of the Twenty-ninth Southeastern International
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JOURNAL = {Congr. Numer.},
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VOLUME = {131},
YEAR = {1998},
PAGES = {5--18},
ISSN = {0384-9864},
MRCLASS = {05B40 (68Q22)},
MRNUMBER = {99j:05050},
}
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NUMBER = {1},
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MRCLASS = {15A48 (05C50)},
MRNUMBER = {99i:15029},
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YEAR = {1998},
NUMBER = {2-3},
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MRNUMBER = {99d:65144},
}
@book {MR99c:90004,
TITLE = {New trends in mathematical programming},
EDITOR = {Giannessi, Franco and Koml{\'o}si, S{\'a}ndor and Rapcs{\'a}k,
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NOTE = {Homage to Steven Vajda},
PUBLISHER = {Kluwer Academic Publishers},
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YEAR = {1998},
PAGES = {xii+314},
ISBN = {0-7923-5036-7},
MRCLASS = {90-06 (00B30)},
MRNUMBER = {99c:90004},
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}
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distance matrix completion problems},
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MRNUMBER = {99c:05135},
MRREVIEWER = {Hugo Jan Woerdeman},
}
@book {MR99b:62002,
TITLE = {Data science, classification, and related methods},
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MRCLASS = {62-06 (62H30 68T10)},
MRNUMBER = {99b:62002},
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NUMBER = {3},
PAGES = {814--836},
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CODEN = {SJOPE8},
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MRNUMBER = {98m:90144},
MRREVIEWER = {Panos M. Pardalos},
}
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MRCLASS = {90C26 (90C08 90C90)},
MRNUMBER = {98m:90109},
MRREVIEWER = {Marlies Borchardt},
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URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(84)90093-4},
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BOOKTITLE = {F{ERMAT} days 85: mathematics for optimization ({T}oulouse,
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YEAR = {1986},
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DOI = {10.1016/S0304-0208(08)72402-2},
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@book {MR98m:62180,
AUTHOR = {Mathar, Rudolf},
TITLE = {Multidimensionale {S}kalierung},
NOTE = {Mathematische Grundlagen und algorithmische Aspekte.
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ADDRESS = {Stuttgart},
YEAR = {1997},
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MRCLASS = {62H99 (92G15)},
MRNUMBER = {98m:62180},
MRREVIEWER = {Joachim Krauth},
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@article {MR98m:15039,
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VOLUME = {273},
YEAR = {1998},
PAGES = {9--22},
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MRCLASS = {15A48},
MRNUMBER = {98m:15039},
MRREVIEWER = {Shu An Hu},
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@article {MR98k:51030,
AUTHOR = {Richmond, Bettina and Richmond, Thomas},
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NUMBER = {8},
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ISSN = {0002-9890},
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MRCLASS = {51K05 (54E35)},
MRNUMBER = {98k:51030},
MRREVIEWER = {Grattan P. Murphy},
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VOLUME = {33},
YEAR = {1997},
NUMBER = {1},
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ISSN = {0165-4896},
CODEN = {MSOSDD},
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MRNUMBER = {98j:90022},
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@proceedings {MR98j:90005,
TITLE = {Topics in semidefinite and interior-point methods},
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YEAR = {1998},
PAGES = {xx+250},
ISBN = {0-8218-0825-7},
MRCLASS = {90-06},
MRNUMBER = {98j:90005},
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VOLUME = {27},
YEAR = {1997},
NUMBER = {1},
PAGES = {77--91},
ISSN = {0389-5602},
MRCLASS = {62H99 (62H10)},
MRNUMBER = {98j:62051},
MRREVIEWER = {Rudolf Mathar},
}
@incollection {MR98j:62050,
AUTHOR = {Cuadras, C. M. and Fortiana, J.},
TITLE = {Weighted continuous metric scaling},
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matrices (Bowling Green, OH, 1996)},
PAGES = {27--40},
PUBLISHER = {VSP},
ADDRESS = {Utrecht},
YEAR = {1996},
MRCLASS = {62H99 (60G99 62H25)},
MRNUMBER = {98j:62050},
MRREVIEWER = {Rudolf Mathar},
}
@proceedings {MR98h:62002,
TITLE = {Classification and knowledge organization},
BOOKTITLE = {Proceedings of the 20th Annual Conference of the Gesellschaft
f\"ur Klassifikation e.\ V.\ held at the University of
Freiburg, Freiburg, March 6--8, 1996},
EDITOR = {Klar, R{\"u}diger and Opitz, Otto},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1997},
PAGES = {xx+684},
ISBN = {3-540-62981-5},
MRCLASS = {62-06},
MRNUMBER = {98h:62002},
}
@article {MR98e:62149,
AUTHOR = {Heiser, Willem J. and Groenen, Patrick J. F.},
TITLE = {Cluster differences scaling with a within-clusters loss
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JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal of Quantitative Psychology},
VOLUME = {62},
YEAR = {1997},
NUMBER = {1},
PAGES = {63--83},
ISSN = {0033-3123},
CODEN = {PSYKA2},
MRCLASS = {62P15 (62H30)},
MRNUMBER = {98e:62149},
MRREVIEWER = {C. Hayashi},
}
@book {MR98e:62092,
AUTHOR = {BORG, I. and GROENEN, P.},
TITLE = {Modern multidimensional scaling},
NOTE = {Theory and applications},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xviii+471},
ISBN = {0-387-94845-7},
MRCLASS = {62H99 (62H30 62P15)},
MRNUMBER = {98e:62092},
MRREVIEWER = {Rudolf Mathar},
}
@book {MR98d:62115,
TITLE = {Clustering and classification},
EDITOR = {Arabie, P. and Hubert, L. J. and De Soete, G.},
PUBLISHER = {World Scientific Publishing Co. Inc.},
ADDRESS = {River Edge, NJ},
YEAR = {1996},
PAGES = {x+490},
ISBN = {981-02-1287-9},
MRCLASS = {62H30 (62-06)},
MRNUMBER = {98d:62115},
}
@article {MR98d:62110,
AUTHOR = {de Leeuw, Jan and Groenen, Patrick J. F.},
TITLE = {Inverse multidimensional scaling},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {14},
YEAR = {1997},
NUMBER = {1},
PAGES = {3--21},
ISSN = {0176-4268},
MRCLASS = {62H30},
MRNUMBER = {98d:62110},
}
@article {MR98d:62104,
AUTHOR = {Carroll, J. Douglas and Kumbasar, Ece and Romney, A. Kimball},
TITLE = {An equivalence relation between correspondence analysis and
classical metric multidimensional scaling for the recovery of
{E}uclidean distances},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {50},
YEAR = {1997},
NUMBER = {1},
PAGES = {81--92},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {62H25},
MRNUMBER = {98d:62104},
}
@incollection {MR98c:05110,
AUTHOR = {Krafft, O. and Schaefer, M.},
TITLE = {Properties of some matrices associated with trees},
BOOKTITLE = {Research developments in probability and statistics},
PAGES = {383--389},
PUBLISHER = {VSP},
ADDRESS = {Utrecht},
YEAR = {1996},
MRCLASS = {05C50 (05C05)},
MRNUMBER = {98c:05110},
}
@book {MR98a:90009,
TITLE = {Recent advances in nonsmooth optimization},
EDITOR = {Du, Ding-Zhu and Qi, Liqun and Womersley, Robert S.},
PUBLISHER = {World Scientific Publishing Co. Inc.},
ADDRESS = {River Edge, NJ},
YEAR = {1995},
PAGES = {viii+472},
ISBN = {981-02-2265-3},
MRCLASS = {90-06 (49J52 65K05 90C30)},
MRNUMBER = {98a:90009},
}
@article {MR98a:62069,
AUTHOR = {Cuadras, C. M. and Atkinson, R. A. and Fortiana, J.},
TITLE = {Probability densities from distances and discrimination},
JOURNAL = {Statist. Probab. Lett.},
FJOURNAL = {Statistics \& Probability Letters},
VOLUME = {33},
YEAR = {1997},
NUMBER = {4},
PAGES = {405--411},
ISSN = {0167-7152},
CODEN = {SPLTDC},
MRCLASS = {62H05 (62H30)},
MRNUMBER = {98a:62069},
}
@article {MR98a:51014,
AUTHOR = {Lison{\v{e}}k, Petr},
TITLE = {New maximal two-distance sets},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series A},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2},
PAGES = {318--338},
ISSN = {0097-3165},
CODEN = {JCBTA7},
MRCLASS = {51K99 (05D05)},
MRNUMBER = {98a:51014},
MRREVIEWER = {J. J. Seidel},
}
@article {MR97m:26026,
AUTHOR = {Mattner, L.},
TITLE = {Strict definiteness of integrals via complete monotonicity of
derivatives},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {349},
YEAR = {1997},
NUMBER = {8},
PAGES = {3321--3342},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {26D15 (31C15 43A35 60E99)},
MRNUMBER = {97m:26026},
MRREVIEWER = {Hrvoje {\v{S}}iki{\'c}},
}
@article {MR97h:62052,
AUTHOR = {{\v{Z}}ilinskas, Antanas},
TITLE = {A quadratically converging algorithm of multidimensional
scaling},
JOURNAL = {Informatica (Vilnius)},
FJOURNAL = {Lithuanian Academy of Sciences. Informatica (Vilnius)},
VOLUME = {7},
YEAR = {1996},
NUMBER = {2},
PAGES = {268--274},
ISSN = {0868-4952},
MRCLASS = {62H25},
MRNUMBER = {97h:62052},
}
@article {MR97h:15032,
AUTHOR = {Hayden, T.L. and Lee, J. and Wells, J. and Tarazaga, P.},
TITLE = {Block matrices and multispherical structure of distance
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {247},
YEAR = {1996},
PAGES = {203--216},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57 (65F10)},
MRNUMBER = {97h:15032},
MRREVIEWER = {Gang Song Leng},
}
@article {MR97e:90093,
AUTHOR = {Wu, Zhijun},
TITLE = {The effective energy transformation scheme as a special
continuation approach to global optimization with application
to molecular conformation},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {3},
PAGES = {748--768},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (90C90 92C40)},
MRNUMBER = {97e:90093},
}
@proceedings {MR97c:62113,
TITLE = {Recent advances in descriptive multivariate analysis},
BOOKTITLE = {Proceedings of the symposium held at the University of Exeter,
Exeter, May 1992--December 1993},
EDITOR = {Krzanowski, Wojtek J.},
NOTE = {Oxford Science Publications},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1995},
PAGES = {xiv+362},
ISBN = {0-19-852285-1},
MRCLASS = {62Hxx (62-06)},
MRNUMBER = {97c:62113},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@book {MR97c:62006,
TITLE = {From data to knowledge},
EDITOR = {Gaul, Wolfgang and Pfeifer, Dietmar},
NOTE = {Theoretical and practical aspects of classification, data
analysis, and knowledge organization,
Papers from the Eighteenth Annual Conference of the German
Classification Society held at the University of Oldenburg,
Oldenburg, 1994},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1996},
PAGES = {x+472},
ISBN = {3-540-60354-9},
MRCLASS = {62-06},
MRNUMBER = {97c:62006},
}
@article {MR97c:05018,
AUTHOR = {Stolarsky, Kenneth B.},
TITLE = {$q$-analogue triangular numbers and distance geometry},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {125},
YEAR = {1997},
NUMBER = {1},
PAGES = {35--39},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {05A30 (05A19 11B65 51K05)},
MRNUMBER = {97c:05018},
MRREVIEWER = {David M. Bressoud},
}
@incollection {MR97b:90107,
author = "J.J. MOR\'{E} and Z. WU",
TITLE = {$\epsilon$-optimal solutions to distance geometry problems via
global continuation},
BOOKTITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding (New Brunswick, NJ, 1995)},
PAGES = {151--168},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {90C30 (65K05 68Q25 92C40 92C55)},
MRNUMBER = {97b:90107},
MRREVIEWER = {Thomas F. Coleman},
}
@article {MR97a:51023,
AUTHOR = {You, Xiu Ying and Yang, Xu Chi},
TITLE = {The metric equation of a bifundamental figure and its
applications},
JOURNAL = {Sichuan Daxue Xuebao},
FJOURNAL = {Sichuan Daxue Xuebao. Ziran Kexue Ban. Sichuan University
Journal. Natural Sciences},
VOLUME = {32},
YEAR = {1995},
NUMBER = {5},
PAGES = {486--490},
ISSN = {0490-6756},
CODEN = {SCTHAO},
MRCLASS = {51K05},
MRNUMBER = {97a:51023},
}
@article {MR2549047,
AUTHOR = {Tarazaga, P. and Gallardo, J.E.},
TITLE = {Euclidean distance matrices: new characterization and
boundary properties},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {57},
YEAR = {2009},
NUMBER = {7},
PAGES = {651--658},
ISSN = {0308-1087},
MRCLASS = {15B99},
MRNUMBER = {2549047 (2010i:15074)},
DOI = {10.1080/03081080802079259},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/03081080802079259},
}
@article {MR96m:51020,
AUTHOR = {Tarazaga, P. and Hayden, T.L. and Wells, J.},
TITLE = {Circum-{E}uclidean distance matrices and faces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {232},
YEAR = {1996},
PAGES = {77--96},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05},
MRNUMBER = {96m:51020},
MRREVIEWER = {Yao Zhang},
}
@article {MR95g:51021,
AUTHOR = {Hayden, T.L. and Tarazaga, P.},
TITLE = {Distance matrices and regular figures},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {195},
YEAR = {1993},
PAGES = {9--16},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A99)},
MRNUMBER = {95g:51021},
}
@article {MR1253266,
AUTHOR = {Hayden, T.L. and Tarazaga, P.},
TITLE = {Distance matrices and regular figures},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {195},
YEAR = {1993},
PAGES = {9--16},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A99)},
MRNUMBER = {MR1253266 (95g:51021)},
}
@article {MR96m:05137,
AUTHOR = {Johnson, C.R. and JONES, C.A. and KROSCHEL,
B.K.},
TITLE = {The {E}uclidean distance completion problem: cycle
completability},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {39},
YEAR = {1995},
NUMBER = {1-2},
PAGES = {195--207},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {05C50 (05B20 05C38)},
MRNUMBER = {96m:05137},
MRREVIEWER = {Ke Min Zhang},
}
@incollection {MR96i:92016,
AUTHOR = {Byrd, Richard H. and Eskow, Elizabeth and van der Hoek,
Andr{\'e} and Schnabel, Robert B. and Shao, Chung-Shang and
Zou, Zhi Hong},
TITLE = {Global optimization methods for protein folding problems},
BOOKTITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding (New Brunswick, NJ, 1995)},
PAGES = {29--39},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {92D20 (92C40)},
MRNUMBER = {96i:92016},
}
@incollection {MR96i:92005,
AUTHOR = {Amara, Patricia and Ma, Jianpeng and Straub, John E.},
TITLE = {Global minimization on rugged energy landscapes},
BOOKTITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding (New Brunswick, NJ, 1995)},
PAGES = {1--13},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {92C05 (49Q20 81V55 92C40 92E10)},
MRNUMBER = {96i:92005},
MRREVIEWER = {C. S. Sharma},
}
@article {MR96h:42029,
AUTHOR = {Shen, Zuowei},
TITLE = {Nontensor product wavelet packets in ${L}\sb 2({\bf {R}}\sp
s)$},
JOURNAL = {SIAM J. Math. Anal.},
FJOURNAL = {SIAM Journal on Mathematical Analysis},
VOLUME = {26},
YEAR = {1995},
NUMBER = {4},
PAGES = {1061--1074},
ISSN = {0036-1410},
CODEN = {SJMAAH},
MRCLASS = {42C15 (41A15 94A12)},
MRNUMBER = {96h:42029},
MRREVIEWER = {Gilbert Walter},
}
@book {MR96g:92001,
TITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding},
EDITOR = {Pardalos, P. M. and Shalloway, D. and Xue, G.},
NOTE = {Papers from the DIMACS Workshop held as part of the DIMACS
Special Year on Mathematical Support for Molecular Biology at
Rutgers University, New Brunswick, New Jersey, March 20--21,
1995},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1996},
PAGES = {xiv+271},
ISBN = {0-8218-0471-5},
MRCLASS = {92-06},
MRNUMBER = {96g:92001},
}
@article {MR96g:90093,
AUTHOR= "B. Hendrickson",
TITLE = {The molecule problem: exploiting structure in global
optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {4},
PAGES = {835--857},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C35 (05C90 90B80)},
MRNUMBER = {96g:90093},
}
@article {jj05,
AUTHOR = {JACKSON, B. and JORD{\'A}N, T.},
TITLE = {Connected rigidity matroids and unique realizations of graphs},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series B},
VOLUME = {94},
YEAR = {2005},
NUMBER = {1},
PAGES = {1--29},
ISSN = {0095-8956},
CODEN = {JCBTB8},
MRCLASS = {05B35 (05C62 52C25)},
MRNUMBER = {MR2130278 (2005m:05052)},
MRREVIEWER = {Tiong Seng Tay},
}
@article {MR96g:90060,
AUTHOR = {Laurent, M. and POLJAK, S.},
TITLE = {On a positive semidefinite relaxation of the cut polytope},
NOTE = {Special issue honoring Miroslav Fiedler and Vlastimil Pt\'ak},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {223/224},
YEAR = {1995},
PAGES = {439--461},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (52B12)},
MRNUMBER = {96g:90060},
MRREVIEWER = {Anna Rycerz},
}
@book {MR96g:62118,
AUTHOR = {Cox, Trevor F. and Cox, Michael A. A.},
TITLE = {Multidimensional scaling},
NOTE = {With 1 IBM-PC floppy disk (3.5 inch, HD)},
PUBLISHER = {Chapman \& Hall},
ADDRESS = {London},
YEAR = {1994},
PAGES = {xii+213},
ISBN = {0-412-49120-6},
MRCLASS = {62H99 (62-02)},
MRNUMBER = {96g:62118},
MRREVIEWER = {Rudolf Mathar},
}
@article {MR96g:15031,
AUTHOR = {Johnson, C.R. and Tarazaga, P.},
TITLE = {Connections between the real positive semidefinite and
distance matrix completion problems},
NOTE = {Special issue honoring Miroslav Fiedler and Vlastimil Pt\'ak},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {223/224},
YEAR = {1995},
PAGES = {375--391},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A99 (05C50)},
MRNUMBER = {96g:15031},
MRREVIEWER = {Linda J. Patton},
}
@article {MR96f:62107,
AUTHOR = {Groenen, Patrick J. F. and Mathar, Rudolf and Heiser, Willem
J.},
TITLE = {The majorization approach to multidimensional scaling for
{M}inkowski distances},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {12},
YEAR = {1995},
NUMBER = {1},
PAGES = {3--19},
ISSN = {0176-4268},
MRCLASS = {62H30},
MRNUMBER = {96f:62107},
}
@incollection {MR96e:81152,
AUTHOR = {David, Fran{\c{c}}ois},
TITLE = {Renormalization theory for interacting manifolds},
BOOKTITLE = {Quantum gravity (Nishinomiya, 1992)},
PAGES = {100--111},
PUBLISHER = {World Sci. Publishing},
ADDRESS = {River Edge, NJ},
YEAR = {1993},
MRCLASS = {81T15 (82C41)},
MRNUMBER = {96e:81152},
}
@proceedings {MR96d:62002,
TITLE = {Information systems and data analysis},
BOOKTITLE = {Proceedings of the Seventeenth Annual Conference of the
Gesellschaft f\"ur Klassifikation e.V.\ held at the University
of Kaiserslautern, Kaiserslautern, March 3--5, 1993},
EDITOR = {Bock, Hans Hermann and Lenski, Wolfgang and Richter, Michael
M.},
NOTE = {Prospects---Foundations---Applications},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {xvi+464},
ISBN = {3-540-58057-3},
MRCLASS = {62-06 (62-07 62H99)},
MRNUMBER = {96d:62002},
MRREVIEWER = {Allen Klinger},
}
@article {MR95k:51026,
AUTHOR = {Barvinok, A.I.},
TITLE = {Problems of distance geometry and convex properties of
quadratic maps},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry},
VOLUME = {13},
YEAR = {1995},
NUMBER = {2},
PAGES = {189--202},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {51K99 (05C12 49N15 52C25 90C35)},
MRNUMBER = {95k:51026},
MRREVIEWER = {Igor Rivin},
}
@article {MR2202433,
AUTHOR = {Fiedler, M.},
TITLE = {Matrices and graphs in {E}uclidean geometry},
JOURNAL = {Electron. J. Linear Algebra},
FJOURNAL = {Electronic Journal of Linear Algebra},
VOLUME = {14},
YEAR = {2005},
PAGES = {51--58 (electronic)},
ISSN = {1081-3810},
MRCLASS = {05C50 (15A48 15A63)},
MRNUMBER = {2202433 (2006j:05130)},
MRREVIEWER = {Ivan Izmestiev},
}
@article {MR95j:15008,
AUTHOR = {Fiedler, Miroslav},
TITLE = {Elliptic matrices with zero diagonal},
NOTE = {Second Conference of the International Linear Algebra Society
(ILAS) (Lisbon, 1992)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {197/198},
YEAR = {1994},
PAGES = {337--347},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A21 (15A18)},
MRNUMBER = {95j:15008},
MRREVIEWER = {Ferenc Wettl},
}
@article {MR95h:51039,
AUTHOR = {Su, Hua Ming},
TITLE = {A class of geometric inequalities of a finite point set lying
on sphere},
JOURNAL = {Chinese J. Contemp. Math.},
FJOURNAL = {Chinese Journal of Contemporary Mathematics},
VOLUME = {15},
YEAR = {1994},
NUMBER = {1},
PAGES = {59--63},
ISSN = {0898-5111},
MRCLASS = {51M16 (51K05)},
MRNUMBER = {95h:51039},
MRREVIEWER = {Jingzhong Zhang},
}
@book {MR95g:62128,
AUTHOR = {Basilevsky, Alexander},
TITLE = {Statistical factor analysis and related methods},
NOTE = {Theory and applications,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {xxvi+737},
ISBN = {0-471-57082-6},
MRCLASS = {62H25},
MRNUMBER = {95g:62128},
}
@incollection {MR95f:62094,
AUTHOR = {Cuadras, C. M. and Fortiana, J.},
TITLE = {Continuous metric scaling and prediction},
BOOKTITLE = {Multivariate analysis: future directions, 2 (Barcelona, 1992)},
PAGES = {47--66},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1993},
MRCLASS = {62H30},
MRNUMBER = {95f:62094},
}
@article {MR95d:68133,
AUTHOR = {Diday, Edwin},
TITLE = {Probabilist, possibilist and belief objects for pattern
recognition by data analysis},
JOURNAL = {Indian J. Pure Appl. Math.},
FJOURNAL = {Indian Journal of Pure and Applied Mathematics},
VOLUME = {25},
YEAR = {1994},
NUMBER = {1-2},
PAGES = {51--70},
ISSN = {0019-5588},
CODEN = {IJMHAU},
MRCLASS = {68T30},
MRNUMBER = {95d:68133},
MRREVIEWER = {Miguel Delgado Calvo-Flores},
}
@book {MR95d:62107,
AUTHOR = {Groenen, Patrick J. F.},
TITLE = {The majorization approach to multidimensional scaling},
NOTE = {Some problems and extensions},
PUBLISHER = {D.S.W.O. Press},
ADDRESS = {Leiden},
YEAR = {1993},
PAGES = {x+156},
ISBN = {90-6695-086-2},
MRCLASS = {62H99 (62H30 65K10)},
MRNUMBER = {95d:62107},
MRREVIEWER = {Rudolf Mathar},
}
@article {MR95d:62101,
AUTHOR = {Mathar, Rudolf and Meyer, Renate},
TITLE = {Preorderings, monotone functions, and best rank $r$
approximations with applications to classical {M}{D}{S}},
JOURNAL = {J. Statist. Plann. Inference},
FJOURNAL = {Journal of Statistical Planning and Inference},
VOLUME = {37},
YEAR = {1993},
NUMBER = {3},
PAGES = {291--305},
ISSN = {0378-3758},
CODEN = {JSPIDN},
MRCLASS = {62H25 (62P15)},
MRNUMBER = {95d:62101},
MRREVIEWER = {D. S. Tracy},
}
@article {MR95a:81304,
AUTHOR = {Xue, Guo Liang},
TITLE = {Improvement on the {N}orthby algorithm for molecular
conformation: better solutions},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {4},
YEAR = {1994},
NUMBER = {4},
PAGES = {425--440},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {81V55 (81-08 90C90)},
MRNUMBER = {95a:81304},
}
@article {MR95a:60021,
AUTHOR = {Buja, Andreas and Logan, B. F. and Reeds, J. A. and Shepp, L.
A.},
TITLE = {Inequalities and positive-definite functions arising from a
problem in multidimensional scaling},
JOURNAL = {Ann. Statist.},
FJOURNAL = {The Annals of Statistics},
VOLUME = {22},
YEAR = {1994},
NUMBER = {1},
PAGES = {406--438},
ISSN = {0090-5364},
CODEN = {ASTSC7},
MRCLASS = {60E99 (26D20 42A82 62H99 65K10)},
MRNUMBER = {95a:60021},
}
@article {MR94m:92025,
AUTHOR = {Xue, Guo Liang},
TITLE = {Molecular conformation on the {C}{M}-5 by parallel two-level
simulated annealing},
NOTE = {Advances in computational chemistry and protein folding},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {4},
YEAR = {1994},
NUMBER = {2},
PAGES = {187--208},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92E10 (90C27)},
MRNUMBER = {94m:92025},
}
@article {MR94j:51022,
AUTHOR = {DRESS, A.W.M. and HAVEL, T.F.},
TITLE = {Distance geometry and geometric algebra},
JOURNAL = {Found. Phys.},
FJOURNAL = {Foundations of Physics. An International Journal Devoted to
the Conceptual Bases and Fundamental Theories of Modern
Physics, Biophysics, and Cosmology},
VOLUME = {23},
YEAR = {1993},
NUMBER = {10},
PAGES = {1357--1374},
ISSN = {0015-9018},
CODEN = {FNDPA4},
MRCLASS = {51K05 (15A66 53A50)},
MRNUMBER = {94j:51022},
MRREVIEWER = {Dominique Lambert},
}
@article {MR94i:90129,
AUTHOR = {Tarazaga, P. and TROSSET, M.W.},
TITLE = {An optimization problem on subsets of the symmetric
positive-semidefinite matrices},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {79},
YEAR = {1993},
NUMBER = {3},
PAGES = {513--524},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C30 (65F10)},
MRNUMBER = {94i:90129},
MRREVIEWER = {Giorgio Giorgi},
}
@book {MR94i:90009,
TITLE = {Advances in computational chemistry and protein folding},
EDITOR = {Pardalos, Panos M. and Xue, Guo Liang},
NOTE = {J. Global Optim. {\bf 4} (1994), no. 2},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {1994},
PAGES = {i--iv and 117--241},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90-06 (90C90)},
MRNUMBER = {94i:90009},
}
@article {MR94i:62159,
AUTHOR = {Ellis, Jules L.},
TITLE = {Subpopulation invariance of patterns in covariance matrices},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {46},
YEAR = {1993},
NUMBER = {2},
PAGES = {231--254},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {62P15 (62H20)},
MRNUMBER = {94i:62159},
}
@article {MR94i:62089,
AUTHOR = {Herden, G.},
TITLE = {Some aspects of qualitative data analysis},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {26},
YEAR = {1993},
NUMBER = {2},
PAGES = {105--138},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {62H05 (62H30)},
MRNUMBER = {94i:62089},
MRREVIEWER = {Rudolf Mathar},
}
@article {MR94f:82034,
AUTHOR = {David, Fran{\c{c}}ois and Duplantier, Bertrand and Guitter,
Emmanuel},
TITLE = {Renormalization theory for interacting crumpled manifolds},
JOURNAL = {Nuclear Phys. B},
FJOURNAL = {Nuclear Physics. B},
VOLUME = {394},
YEAR = {1993},
NUMBER = {3},
PAGES = {555--664},
ISSN = {0550-3213},
CODEN = {NUPBBO},
MRCLASS = {82B28 (81T17 81T30 82D60)},
MRNUMBER = {94f:82034},
}
@incollection {MR94f:53083,
AUTHOR = {Alexander, Stephanie B. and Berg, I. David and Bishop, Richard
L.},
TITLE = {The distance-geometry of {R}iemannian manifolds with boundary},
BOOKTITLE = {Differential geometry: Riemannian geometry (Los Angeles, CA,
1990)},
PAGES = {31--36},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1993},
MRCLASS = {53C23 (53C70)},
MRNUMBER = {94f:53083},
MRREVIEWER = {Conrad Plaut},
}
@article {MR94c:86008,
AUTHOR = {LELE, S.},
TITLE = {{E}uclidean distance matrix analysis ({E}{D}{M}{A}): estimation
of mean form and mean form difference},
JOURNAL = {Math. Geol.},
FJOURNAL = {Mathematical Geology},
VOLUME = {25},
YEAR = {1993},
NUMBER = {5},
PAGES = {573--602},
ISSN = {0882-8121},
CODEN = {MATGED},
MRCLASS = {86A32},
MRNUMBER = {94c:86008},
}
@article {MR94c:54057,
AUTHOR = {Gao, En Yong and Zhai, Yan Hui},
TITLE = {The topological structure of a probability metric space and
its metrization},
JOURNAL = {Northeast. Math. J.},
FJOURNAL = {Northeastern Mathematical Journal. Dongbei Shuxue},
VOLUME = {8},
YEAR = {1992},
NUMBER = {4},
PAGES = {457--460},
ISSN = {1000-1778},
MRCLASS = {54E70},
MRNUMBER = {94c:54057},
MRREVIEWER = {B. Schweizer},
}
@article {MR94a:82031,
AUTHOR = {David, Fran{\c{c}}ois and Duplantier, Bertrand and Guitter,
Emmanuel},
TITLE = {Renormalization of crumpled manifolds},
JOURNAL = {Phys. Rev. Lett.},
FJOURNAL = {Physical Review Letters},
VOLUME = {70},
YEAR = {1993},
NUMBER = {15},
PAGES = {2205--2208},
ISSN = {0031-9007},
CODEN = {PRLTAO},
MRCLASS = {82B41 (81T17 81T30 82B28)},
MRNUMBER = {94a:82031},
}
@article {MR94a:52044,
AUTHOR = {Kamiyama, Yasuhiko},
TITLE = {An elementary proof of a theorem of {T}.\ {F}.\ {H}avel},
JOURNAL = {Ryukyu Math. J.},
FJOURNAL = {Ryukyu Mathematical Journal},
VOLUME = {5},
YEAR = {1992},
PAGES = {7--12},
MRCLASS = {52C25 (51K99 70B15 70G25)},
MRNUMBER = {94a:52044},
MRREVIEWER = {Robert Connelly},
}
@proceedings {MR94a:00012,
TITLE = {Differential geometry: {R}iemannian geometry},
BOOKTITLE = {Proceedings of the AMS Summer Research Institute on
Differential Geometry held at the University of California,
Los Angeles, California, July 8--28, 1990},
EDITOR = {Greene, Robert},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1993},
PAGES = {xxii+710},
ISBN = {0-8218-1496-6},
MRCLASS = {00B25 (58-06)},
MRNUMBER = {94a:00012},
}
@article {MR93i:62055,
AUTHOR = {Schneider, Robert B.},
TITLE = {A uniform approach to multidimensional scaling},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {9},
YEAR = {1992},
NUMBER = {2},
PAGES = {257--273},
ISSN = {0176-4268},
MRCLASS = {62H99 (62P15)},
MRNUMBER = {93i:62055},
}
@article {MR93i:51034,
AUTHOR = {Malitz, Seth M. and Malitz, Jerome I.},
TITLE = {A bounded compactness theorem for ${L}\sp 1$-embeddability of
metric spaces in the plane},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry},
VOLUME = {8},
YEAR = {1992},
NUMBER = {4},
PAGES = {373--385},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {51K05 (54E35)},
MRNUMBER = {93i:51034},
MRREVIEWER = {Grattan P. Murphy},
}
@article {MR93i:41026,
AUTHOR = {Sun, Xingping},
TITLE = {Norm estimates for inverses of {E}uclidean distance matrices},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {70},
YEAR = {1992},
NUMBER = {3},
PAGES = {339--347},
ISSN = {0021-9045},
CODEN = {JAXTAZ},
MRCLASS = {41A65 (65F35)},
MRNUMBER = {93i:41026},
MRREVIEWER = {Wu Li},
}
@article {MR93e:65058,
AUTHOR = {Gower, J.C. and GROENEN, P.J.F.},
TITLE = {Applications of the modified {L}everrier-{F}addeev algorithm
for the construction of explicit matrix spectral
decompositions and inverses},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica},
VOLUME = {40},
YEAR = {1991},
PAGES = {51--64},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {65F15 (65F05)},
MRNUMBER = {93e:65058},
MRREVIEWER = {V. L. Makarov},
}
@book {MR93d:62173,
AUTHOR = {Davison, Mark L.},
TITLE = {Multidimensional scaling},
NOTE = {Reprint of the 1983 original},
PUBLISHER = {Robert E. Krieger Publishing Co. Inc.},
ADDRESS = {Malabar, FL},
YEAR = {1992},
PAGES = {xiv+242},
ISBN = {0-89464-662-1},
MRCLASS = {62P15},
MRNUMBER = {93d:62173},
}
@incollection {MR93c:42031,
AUTHOR = {Berger, Marc A. and Wang, Yang},
TITLE = {Multidimensional two-scale dilation equations},
BOOKTITLE = {Wavelets},
PAGES = {295--323},
PUBLISHER = {Academic Press},
ADDRESS = {Boston, MA},
YEAR = {1992},
MRCLASS = {42C15 (65D17)},
MRNUMBER = {93c:42031},
}
@incollection {MR92k:51023,
AUTHOR = {Melter, Robert A.},
TITLE = {A survey of digital metrics},
BOOKTITLE = {Vision geometry (Hoboken, NJ, 1989)},
PAGES = {95--106},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1991},
MRCLASS = {51K05 (05B99 68U05)},
MRNUMBER = {92k:51023},
MRREVIEWER = {Ivan Stojmenovi{\'c}},
}
@article {MR92k:41002,
AUTHOR = {BALL, K.},
TITLE = {Eigenvalues of {E}uclidean distance matrices},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {68},
YEAR = {1992},
NUMBER = {1},
PAGES = {74--82},
ISSN = {0021-9045},
CODEN = {JAXTAZ},
MRCLASS = {41A05},
MRNUMBER = {92k:41002},
}
@article {MR92j:62075,
AUTHOR = {ten Berge, Jos M. F.},
TITLE = {A general solution for a class of weakly constrained linear
regression problems},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal of Quantitative Psychology},
VOLUME = {56},
YEAR = {1991},
NUMBER = {4},
PAGES = {601--609},
ISSN = {0033-3123},
CODEN = {PSYKA2},
MRCLASS = {62J05 (62J07)},
MRNUMBER = {92j:62075},
}
@article {MR92h:62094,
AUTHOR = {Cox, Trevor F. and Cox, Michael A. A.},
TITLE = {Multidimensional scaling on a sphere},
JOURNAL = {Comm. Statist. Theory Methods},
FJOURNAL = {Communications in Statistics. Theory and Methods},
VOLUME = {20},
YEAR = {1991},
NUMBER = {9},
PAGES = {2943--2953},
ISSN = {0361-0926},
CODEN = {CSTMDC},
MRCLASS = {62H30},
MRNUMBER = {92h:62094},
}
@book {MR92b:52001,
TITLE = {Quasicrystals, networks, and molecules of fivefold symmetry},
EDITOR = {Hargittai, Istv{\'a}n},
PUBLISHER = {VCH Verlagsgesellschaft mbH},
ADDRESS = {Weinheim},
YEAR = {1990},
PAGES = {xiv+314},
ISBN = {0-89573-723-X},
MRCLASS = {52-06 (00A69 00B15 82-06)},
MRNUMBER = {92b:52001},
}
@book {MR91k:62056,
AUTHOR = {Gifi, Albert},
TITLE = {Nonlinear multivariate analysis},
NOTE = {With a foreword by Jan de Leeuw,
Edited and with a preface by Willem Heiser, Jacqueline Meulman
and Gerda van den Berg},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1990},
PAGES = {xx+579},
ISBN = {0-471-92620-5},
MRCLASS = {62H25 (62-07 62H20)},
MRNUMBER = {91k:62056},
}
@article {MR91j:90074,
AUTHOR = {Glunt, W. and Hayden, T.L. and Hong, S. and Wells, J.},
TITLE = {An alternating projection algorithm for computing the nearest
{E}uclidean distance matrix},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {11},
YEAR = {1990},
NUMBER = {4},
PAGES = {589--600},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {90C30 (49M99)},
MRNUMBER = {91j:90074},
}
@article {MR91j:62065,
AUTHOR = {Mathar, Rudolf},
TITLE = {Multidimensional scaling with constraints on the
configuration},
JOURNAL = {J. Multivariate Anal.},
FJOURNAL = {Journal of Multivariate Analysis},
VOLUME = {33},
YEAR = {1990},
NUMBER = {2},
PAGES = {151--156},
ISSN = {0047-259X},
MRCLASS = {62H05},
MRNUMBER = {91j:62065},
MRREVIEWER = {L. Rejto},
}
@article {MR91i:51023,
AUTHOR = {Hayden, T.L. and Wells, J. and LIU, W.M. and Tarazaga,
P.},
TITLE = {The cone of distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {144},
YEAR = {1991},
PAGES = {153--169},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48)},
MRNUMBER = {91i:51023},
}
@book {MR91h:68155,
AUTHOR = {Jain, Anil K. and Dubes, Richard C.},
TITLE = {Algorithms for clustering data},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, NJ},
YEAR = {1988},
PAGES = {xiv+320},
ISBN = {0-13-022278-X},
MRCLASS = {68T10 (62-07 62H30 68U10)},
MRNUMBER = {91h:68155},
MRREVIEWER = {Guna Seetharaman},
}
@article {MR98k:92007,
AUTHOR = {Neumaier, Arnold},
TITLE = {Molecular modeling of proteins and mathematical prediction
of
protein structure},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review. A Publication of the Society for Industrial
and
Applied Mathematics},
VOLUME = {39},
YEAR = {1997},
NUMBER = {3},
PAGES = {407--460},
ISSN = {0036-1445},
CODEN = {SIREAD},
MRCLASS = {92C40 (65L05 92-08 92E10)},
MRNUMBER = {98k:92007},
MRREVIEWER = {James L. Cornette},
}
@article {MR91d:15015,
AUTHOR = {Neumaier, A.},
TITLE = {Derived eigenvalues of symmetric matrices, with applications
to distance geometry},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {134},
YEAR = {1990},
PAGES = {107--120},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18 (51K05)},
MRNUMBER = {91d:15015},
MRREVIEWER = {J. J. Seidel},
}
@book {MR91c:62001,
AUTHOR = {Hansohm, J{\"u}rgen},
TITLE = {Die {B}ehandlung qualitativer {D}atenstrukturen in
quantitativen {A}nalysemethoden durch das {P}rinzip der
optimalen {S}kalierung},
PUBLISHER = {Verlag Peter D. Lang},
ADDRESS = {Frankfurt am Main},
YEAR = {1987},
PAGES = {ii+141},
ISBN = {3-8204-0136-9},
MRCLASS = {62-01 (62-07 62Hxx 62Pxx)},
MRNUMBER = {91c:62001},
MRREVIEWER = {H. Enke},
}
@article {MR90h:62123,
AUTHOR = {de Leeuw, Jan},
TITLE = {Convergence of the majorization method for multidimensional
scaling},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {5},
YEAR = {1988},
NUMBER = {2},
PAGES = {163--180},
ISSN = {0176-4268},
MRCLASS = {62H10},
MRNUMBER = {90h:62123},
}
@article {MR90g:92046,
AUTHOR = {Telegdi, L.},
TITLE = {Arrangements of minimal variance---multidimensional scaling in
the symmetrical case},
NOTE = {Symmetry 2: unifying human understanding, Part 1},
JOURNAL = {Comput. Math. Appl.},
FJOURNAL = {Computers \& Mathematics with Applications. An International
Journal},
VOLUME = {17},
YEAR = {1989},
NUMBER = {1-3},
PAGES = {137--145},
ISSN = {0097-4943},
CODEN = {CMAPDK},
MRCLASS = {92A10 (62P99 92A25)},
MRNUMBER = {90g:92046},
MRREVIEWER = {L. M. Kelly},
}
@article {MR90g:62135,
AUTHOR = {Cuadras, C. M. and Oller, J. M.},
TITLE = {Eigenanalysis and metric multidimensional scaling on
hierarchical structures},
JOURNAL = {Q\"uestii\'o},
FJOURNAL = {Q\"uestii\'o.},
VOLUME = {11},
YEAR = {1987},
NUMBER = {3},
PAGES = {37--57},
ISSN = {0210-8054},
MRCLASS = {62H30 (92A25)},
MRNUMBER = {90g:62135},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@article {MR90f:92038,
AUTHOR = {CRIPPEN, G.M.},
TITLE = {Linearized embedding: a new metric matrix algorithm for
calculating molecular conformations subject to geometric
constraints},
JOURNAL = {J. Comput. Chem.},
FJOURNAL = {Journal of Computational Chemistry},
VOLUME = {10},
YEAR = {1989},
NUMBER = {7},
PAGES = {896--902},
ISSN = {0192-8651},
CODEN = {JCCHDD},
MRCLASS = {92A40},
MRNUMBER = {90f:92038},
}
@article {MR90e:92096,
AUTHOR = {MacKay, David B.},
TITLE = {Probabilistic multidimensional scaling: an anisotropic model
for distance judgments},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {33},
YEAR = {1989},
NUMBER = {2},
PAGES = {187--205},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (62P15)},
MRNUMBER = {90e:92096},
MRREVIEWER = {C. Hayashi},
}
@incollection {MR90e:62143,
AUTHOR = {Opitz, Otto},
TITLE = {Optimale {S}kalierung qualitativer {D}aten},
BOOKTITLE = {\"Okonomie und Mathematik},
PAGES = {302--316},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1987},
MRCLASS = {62P99 (62H30 92A25)},
MRNUMBER = {90e:62143},
}
@article {MR90e:51025,
AUTHOR = {Deza, M. and Maehara, H.},
TITLE = {Metric transforms and {E}uclidean embeddings},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {317},
YEAR = {1990},
NUMBER = {2},
PAGES = {661--671},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {51K05},
MRNUMBER = {90e:51025},
MRREVIEWER = {Grattan P. Murphy},
}
@incollection {MR90d:62138,
AUTHOR = {Mathar, R.},
TITLE = {Dimensionality in constrained scaling},
BOOKTITLE = {Classification and related methods of data analysis (Aachen,
1987)},
PAGES = {479--488},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1988},
MRCLASS = {62P15 (62H99)},
MRNUMBER = {90d:62138},
}
@book {MR90d:62001,
AUTHOR = {Everitt, B. S.},
TITLE = {Introduction to optimization methods and their application in
statistics},
PUBLISHER = {Chapman \& Hall},
ADDRESS = {London},
YEAR = {1987},
PAGES = {viii+88},
ISBN = {0-412-27210-5; 0-412-29680-2},
MRCLASS = {62-01 (49D10 49D15 62Hxx)},
MRNUMBER = {90d:62001},
MRREVIEWER = {L. R{\"u}schendorf},
}
@proceedings {MR90a:62006,
TITLE = {Classification and related methods of data analysis},
BOOKTITLE = {Proceedings of the First Conference of the International
Federation of Classification Societies held in Aachen, June
29--July 1, 1987},
EDITOR = {Bock, Hans H.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1988},
PAGES = {xvi+749},
ISBN = {0-444-70404-3},
MRCLASS = {62-06 (92A25)},
MRNUMBER = {90a:62006},
}
@book {MR90a:00018,
TITLE = {Symmetry 2: unifying human understanding. {P}art 1},
EDITOR = {Hargittai, I.},
NOTE = {Comput. Math. Appl. {\bf 17} (1989), no. 1-3},
PUBLISHER = {Pergamon Press},
ADDRESS = {Oxford},
YEAR = {1989},
PAGES = {i--xii and 1--473},
ISSN = {0097-4943},
CODEN = {CMAPDK},
MRCLASS = {00A10},
MRNUMBER = {90a:00018},
}
@article {MR89m:62060,
AUTHOR = {Telegdi, L{\'a}szl{\'o}},
TITLE = {Structural inference of binary variables},
JOURNAL = {Tanulm\'anyok---MTA Sz\'amit\'astech. Automat. Kutat\'o Int.
Budapest},
FJOURNAL = {Tanulm\'anyok. MTA Sz\'amit\'astechnikai \'es
Automatiz\'al\'asi Kutat\'o Int\'ezet Budapest},
NUMBER = {195},
YEAR = {1987},
PAGES = {147},
ISSN = {0324-2951},
MRCLASS = {62H30 (62P10)},
MRNUMBER = {89m:62060},
MRREVIEWER = {Tamas Lengyel},
}
@article {MR89k:92081,
AUTHOR = {Ennis, Daniel M. and Palen, Joseph J. and Mullen, Kenneth},
TITLE = {A multidimensional stochastic theory of similarity},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {32},
YEAR = {1988},
NUMBER = {4},
PAGES = {449--465},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25},
MRNUMBER = {89k:92081},
MRREVIEWER = {Tenko Raykov},
}
@article {MR89k:65047,
AUTHOR = {Hayden, T.L. and Wells, Jim},
TITLE = {Approximation by matrices positive semidefinite on a subspace},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {109},
YEAR = {1988},
PAGES = {115--130},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F35 (15A60)},
MRNUMBER = {89k:65047},
MRREVIEWER = {F. Szidarovszky},
}
@incollection {MR89j:62076,
AUTHOR = {d'Aubigny, G.},
TITLE = {A toolkit for multidimensional scaling of dissimilarity data},
BOOKTITLE = {Data analysis and informatics, V (Versailles, 1987)},
PAGES = {3--16},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1988},
MRCLASS = {62H25},
MRNUMBER = {89j:62076},
}
@proceedings {MR89i:62004,
TITLE = {C{O}{M}{P}{S}{T}{A}{T} 1988},
BOOKTITLE = {Proceedings of the Eighth Biannual Symposium on Computational
Statistics held in Copenhagen, 1988},
EDITOR = {Edwards, D. and Raun, N. E.},
PUBLISHER = {Physica-Verlag},
ADDRESS = {Heidelberg},
YEAR = {1988},
PAGES = {xiv+451},
ISBN = {3-7908-0411-8},
MRCLASS = {62-06 (65-06)},
MRNUMBER = {89i:62004},
}
@proceedings {MR89g:62009,
TITLE = {Data analysis and informatics. {V}},
BOOKTITLE = {Proceedings of the Fifth International Symposium held in
Versailles, September 29--October 2, 1987},
EDITOR = {Diday, E.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1988},
PAGES = {xiv+514},
ISBN = {0-444-70445-0},
MRCLASS = {62-06},
MRNUMBER = {89g:62009},
}
@article {MR89e:92063,
AUTHOR = {DRESS, A.W.M. and HAVEL, T.F.},
TITLE = {Shortest-path problems and molecular conformation},
NOTE = {Applications of graphs in chemistry and physics},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics},
VOLUME = {19},
YEAR = {1988},
NUMBER = {1-3},
PAGES = {129--144},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {92A40 (90B10)},
MRNUMBER = {89e:92063},
MRREVIEWER = {G. W. Peck},
}
@incollection {MR89c:51020,
AUTHOR = {Dress, A.W.M. and Havel, T.F.},
TITLE = {The fundamental theory of distance geometry},
BOOKTITLE = {Computer aided geometric reasoning, Vol.\ I, II
(Sophia-Antipolis, 1987)},
PAGES = {127--169},
PUBLISHER = {INRIA},
ADDRESS = {Rocquencourt},
YEAR = {1987},
MRCLASS = {51K05},
MRNUMBER = {89c:51020},
MRREVIEWER = {V. N. Berestovski{\u\i}},
}
@book {MR89b:92037,
TITLE = {Applications of graphs in chemistry and physics},
EDITOR = {Kennedy, J. W. and Quintas, L. V.},
NOTE = {Discrete Appl. Math. {\bf 19} (1988), no. 1-3},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1988},
PAGES = {i--viii and 1--416},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {92A40},
MRNUMBER = {89b:92037},
}
@book {MR89b:62130,
AUTHOR = {D{\`e}{\u\i}vison, M.},
TITLE = {Mnogomernoe shkalirovanie},
NOTE = {Metody naglyadnogo predstavleniya dannykh. [Methods for the
visual representation of data],
Translated from the English and with an appendix by V. S.
Kamenski\u\i,
With a preface by S. A. A\u\i vazyan and Kamenski\u\i},
PUBLISHER = {``Finansy i Statistika''},
ADDRESS = {Moscow},
YEAR = {1988},
PAGES = {256},
MRCLASS = {62H99},
MRNUMBER = {89b:62130},
}
@article {MR89a:92069,
AUTHOR = {Cozzens, Margaret B. and Leibowitz, Rochelle},
TITLE = {Multidimensional scaling and threshold graphs},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {31},
YEAR = {1987},
NUMBER = {2},
PAGES = {179--191},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (06A99)},
MRNUMBER = {89a:92069},
MRREVIEWER = {Fumiko Samejima},
}
@article {MR89a:62147,
AUTHOR = {Telegdi, L{\'a}szl{\'o}},
TITLE = {Investigation of the structure of binary variables},
JOURNAL = {Alkalmaz. Mat. Lapok},
FJOURNAL = {Alkalmazott Matematikai Lapok},
VOLUME = {13},
YEAR = {1987/88},
NUMBER = {1-2},
PAGES = {17--42},
ISSN = {0133-3399},
CODEN = {AMLAD8},
MRCLASS = {62H30 (62P10)},
MRNUMBER = {89a:62147},
}
@incollection {MR89a:62141,
AUTHOR = {BOCK, H.H.},
TITLE = {On the interface between cluster analysis, principal component
analysis, and multidimensional scaling},
BOOKTITLE = {Multivariate statistical modeling and data analysis
(Harrisonburg, Va., 1986)},
PAGES = {17--34},
PUBLISHER = {Reidel},
ADDRESS = {Dordrecht},
YEAR = {1987},
MRCLASS = {62H30 (62H25)},
MRNUMBER = {89a:62141},
}
@proceedings {MR88k:92093,
TITLE = {Developments in numerical ecology},
BOOKTITLE = {Proceedings of the NATO advanced research workshop on
numerical ecology held in Roscoff, June 3--11, 1986},
EDITOR = {Legendre, Pierre and Legendre, Louis},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1987},
PAGES = {xii+585},
ISBN = {3-540-16086-8},
MRCLASS = {92A17 (62P10)},
MRNUMBER = {88k:92093},
MRREVIEWER = {Ivar Heuch},
}
@article {MR88k:92037,
AUTHOR = {Schlick, Tamar and Peskin, Charles and Broyde, Suse and
Overton, Michael},
TITLE = {An analysis of the structural and energetic properties of
deoxyribose by potential energy methods},
JOURNAL = {J. Comput. Chem.},
FJOURNAL = {Journal of Computational Chemistry},
VOLUME = {8},
YEAR = {1987},
NUMBER = {8},
PAGES = {1199--1224},
ISSN = {0192-8651},
CODEN = {JCCHDD},
MRCLASS = {92A09 (92A08)},
MRNUMBER = {88k:92037},
}
@article {MR88k:15023,
AUTHOR = {FAREBROTHER, R.W.},
TITLE = {Three theorems with applications to {E}uclidean distance
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {95},
YEAR = {1987},
PAGES = {11--16},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48 (92A27)},
MRNUMBER = {88k:15023},
MRREVIEWER = {Shao Kuan Li},
}
@proceedings {MR88j:62004,
TITLE = {Multivariate statistical modeling and data analysis},
BOOKTITLE = {Proceedings of the advanced symposium on multivariate modeling
and data analysis held at the sixty-fourth annual meeting of
the Virginia Academy of Sciences at James Madison University,
Harrisonburg, Va., May 15--16, 1986},
EDITOR = {Bozdogan, H. and Gupta, A. K.},
PUBLISHER = {D. Reidel Publishing Co.},
ADDRESS = {Dordrecht},
YEAR = {1987},
PAGES = {x+189},
ISBN = {90-277-2592-6},
MRCLASS = {62-06},
MRNUMBER = {88j:62004},
}
@incollection {MR88i:62107,
AUTHOR = {Critchley, F.},
TITLE = {Analysis of residuals and regional representation in nonmetric
multidimensional scaling},
BOOKTITLE = {Classification as a tool of research (Karlsruhe, 1985)},
PAGES = {67--77},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1986},
MRCLASS = {62H30},
MRNUMBER = {88i:62107},
}
@book {MR88h:51001,
TITLE = {Computer-aided geometric reasoning. {V}ol. {I}, {I}{I}},
EDITOR = {Crapo, Henry},
NOTE = {Papers from the INRIA workshop held in Sophia-Antipolis, June
22--26, 1987},
PUBLISHER = {Institut National de Recherche en Informatique et en
Automatique (INRIA)},
ADDRESS = {Rocquencourt},
YEAR = {1987},
PAGES = {Vol.\ I: 212 pp; Vol.\ II: pp.\ 213--372},
ISBN = {2-7261-0493-2},
MRCLASS = {51-06 (51-04)},
MRNUMBER = {88h:51001},
}
@book {MR88g:62217,
AUTHOR = {Torgerson, Warren S.},
TITLE = {Theory and methods of scaling},
NOTE = {With a foreword by Harold Gulliksen,
Reprint of the 1958 original},
PUBLISHER = {Robert E. Krieger Publishing Co. Inc.},
ADDRESS = {Melbourne, Fla.},
YEAR = {1985},
PAGES = {xiv+460},
ISBN = {0-89874-722-8},
MRCLASS = {62P15 (92A25)},
MRNUMBER = {88g:62217},
}
@proceedings {MR88g:62003,
TITLE = {Classification as a tool of research},
BOOKTITLE = {Proceedings of the ninth annual meeting of the German
Classification Society held at the University of Karlsruhe,
Karlsruhe, June 26--28, 1985},
EDITOR = {Gaul, W. and Schader, M.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1986},
PAGES = {xiv+502},
ISBN = {0-444-87980-3},
MRCLASS = {62-06 (92A25)},
MRNUMBER = {88g:62003},
}
@article {MR88e:92048,
AUTHOR = {Chubb, Charles},
TITLE = {Collapsing binary data for algebraic multidimensional
representation},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {30},
YEAR = {1986},
NUMBER = {2},
PAGES = {161--187},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (62P15)},
MRNUMBER = {88e:92048},
MRREVIEWER = {Fumiko Samejima},
}
@article {MR88e:53110,
AUTHOR = {Berestovski{\u\i}, V. N.},
TITLE = {Spaces with bounded curvature and distance geometry},
JOURNAL = {Sibirsk. Mat. Zh.},
FJOURNAL = {Akademiya Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u\i \
Matematicheski\u\i\ Zhurnal},
VOLUME = {27},
YEAR = {1986},
NUMBER = {1},
PAGES = {11--25, 197},
ISSN = {0037-4474},
MRCLASS = {53C70 (51K05)},
MRNUMBER = {88e:53110},
MRREVIEWER = {A. V. Pogorelov},
}
@article {MR88e:51029,
AUTHOR = {Fauring, Patricia and Guti{\'e}rrez, Flora and Larotonda,
Angel},
TITLE = {The variety of distances between points},
JOURNAL = {Rev. Un. Mat. Argentina},
FJOURNAL = {Revista de la Uni\'on Matem\'atica Argentina},
VOLUME = {31},
YEAR = {1984},
NUMBER = {4},
PAGES = {179--186 (1985)},
ISSN = {0041-6932},
CODEN = {RMAFAG},
MRCLASS = {51K05},
MRNUMBER = {88e:51029},
MRREVIEWER = {B. Klotzek},
}
@article {MR88c:62004,
AUTHOR = {Friedman, Jerome H.},
TITLE = {Exploratory projection pursuit},
JOURNAL = {J. Amer. Statist. Assoc.},
FJOURNAL = {Journal of the American Statistical Association},
VOLUME = {82},
YEAR = {1987},
NUMBER = {397},
PAGES = {249--266},
ISSN = {0162-1459},
CODEN = {JSTNAL},
MRCLASS = {62-07 (62G05)},
MRNUMBER = {88c:62004},
}
@proceedings {MR88a:62006,
TITLE = {Data analysis and informatics. {I}{V}},
BOOKTITLE = {Proceedings of the fourth international symposium held in
Versailles, October 9--11, 1985},
EDITOR = {Diday, E. and Escoufier, Y. and Lebart, L. and Pages, J. and
Schektman, Y. and Tomassone, R.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1986},
PAGES = {xiv+764},
ISBN = {0-444-70061-7},
MRCLASS = {62-06 (68-06)},
MRNUMBER = {88a:62006},
}
@article {MR87k:62104,
AUTHOR = {BENEDICT, J.P. and CHANG, T.C.},
TITLE = {On the quadratic diversity and its relationship to
multidimensional scaling},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied
Mathematics, Computer Science, and Statistics},
VOLUME = {29},
YEAR = {1986},
PAGES = {177--191},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {62H30 (94A17)},
MRNUMBER = {87k:62104},
MRREVIEWER = {C. R. Rao},
}
@article {MR87k:51042,
AUTHOR = {Sippl, Manfred J. and Scheraga, Harold A.},
TITLE = {Cayley-{M}enger coordinates},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {83},
YEAR = {1986},
NUMBER = {8},
PAGES = {2283--2287},
ISSN = {0027-8424},
CODEN = {PNASA6},
MRCLASS = {51K05 (81G55)},
MRNUMBER = {87k:51042},
MRREVIEWER = {Grattan P. Murphy},
}
@article {MR87k:05142,
AUTHOR = {Bandelt, Hans-J{\"u}rgen and Mulder, Henry Martyn},
TITLE = {Distance-hereditary graphs},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series B},
VOLUME = {41},
YEAR = {1986},
NUMBER = {2},
PAGES = {182--208},
ISSN = {0095-8956},
CODEN = {JCBTB8},
MRCLASS = {05C99 (51K99)},
MRNUMBER = {87k:05142},
MRREVIEWER = {R. A. Melter},
}
@book {MR87h:62110,
AUTHOR = {Terekhina, A. Yu.},
TITLE = {Analiz dannykh metodami mnogomernogo shkalirovaniya},
PUBLISHER = {``Nauka''},
ADDRESS = {Moscow},
YEAR = {1986},
PAGES = {168},
MRCLASS = {62H30 (62-07 62P15)},
MRNUMBER = {87h:62110},
}
@article {MR87g:92050,
AUTHOR = {Hartmann, Wolfgang},
TITLE = {Modern methods of data analysis in sociology},
NOTE = {Translated from the German by Ryszard Zieli\'nski},
JOURNAL = {Mat. Stos.},
FJOURNAL = {Roczniki Polskiego Towarzystwa Matematycznego. Seria III.
Matematyka Stosowana},
VOLUME = {24},
YEAR = {1985},
PAGES = {21--48},
ISSN = {0137-2890},
MRCLASS = {92A20},
MRNUMBER = {87g:92050},
MRREVIEWER = {Jacek Koronacki},
}
@book {MR87g:62003,
AUTHOR = {DIGBY, P.G.N. and Gower, J.C.},
TITLE = {Ordination and classification},
PUBLISHER = {Presses de l'Universit\'e de Montr\'eal},
ADDRESS = {Montreal, Que.},
YEAR = {1986},
PAGES = {87},
ISBN = {2-7606-0742-9},
MRCLASS = {62-07 (62H30)},
MRNUMBER = {87g:62003},
MRREVIEWER = {A. D. Gordon},
}
@proceedings {MR87f:90003b,
TITLE = {X symposium on operations research. {P}art {I}{I}. {S}ections
6--10},
BOOKTITLE = {Proceedings of the symposium held at the Universit\"at
M\"unchen, Munich, August 26--28, 1985},
EDITOR = {Beckmann, Martin J. and Gaede, Karl-Walter and Ritter, Klaus
and Schneeweiss, Hans},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1986},
PAGES = {xx+574},
ISBN = {3-445-02398-0},
MRCLASS = {90-06},
MRNUMBER = {87f:90003b},
}
@proceedings {MR87f:90003a,
TITLE = {X symposium on operations research. {P}art {I}. {S}ections
1--5},
BOOKTITLE = {Proceedings of the symposium held at the Universit\"at
M\"unchen, Munich, August 26--28, 1985},
EDITOR = {Beckmann, Martin J. and Gaede, Karl-Walter and Ritter, Klaus
and Schneeweiss, Hans},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1986},
PAGES = {xx+707},
ISBN = {3-445-02397-2},
MRCLASS = {90-06},
MRNUMBER = {87f:90003a},
}
@article {MR87e:62103,
AUTHOR = {de Leeuw, Jan and Bettonvil, Bert},
TITLE = {An upper bound for sstress},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {51},
YEAR = {1986},
NUMBER = {1},
PAGES = {149--153},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15},
MRNUMBER = {87e:62103},
}
@article {MR87c:62204,
AUTHOR = {Brady, Henry E.},
TITLE = {Statistical consistency and hypothesis testing for nonmetric
multidimensional scaling},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {50},
YEAR = {1985},
NUMBER = {4},
PAGES = {509--537},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15},
MRNUMBER = {87c:62204},
}
@article {MR86m:92050,
AUTHOR = {Manicke, Robert L.},
TITLE = {On the stochastic geometrical foundations of metric
multidimensional scaling},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {9},
YEAR = {1985},
NUMBER = {1},
PAGES = {53--62},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {92A25 (54E35)},
MRNUMBER = {86m:92050},
MRREVIEWER = {Joachim Krauth},
}
@article {MR86j:62133,
AUTHOR = {Gower, J.C.},
TITLE = {Properties of {E}uclidean and non-{E}uclidean distance
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {67},
YEAR = {1985},
PAGES = {81--97},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {62H20 (15A57)},
MRNUMBER = {86j:62133},
MRREVIEWER = {Ferenc Juh{\'a}sz},
}
@article {MR86g:65084,
AUTHOR = {Mathar, Rudolf},
TITLE = {The best {E}uclidian fit to a given distance matrix in
prescribed dimensions},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {67},
YEAR = {1985},
PAGES = {1--6},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F30 (15A60)},
MRNUMBER = {86g:65084},
MRREVIEWER = {A. R. Amir-Mo{\'e}z},
}
@book {MR86f:90002b,
TITLE = {Contributions to operations research and mathematical
economics. {V}ol. {I}{I}},
EDITOR = {Hammer, G. and Pallaschke, D.},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1984},
PAGES = {i--x and 403--674},
ISBN = {3-445-02382-4},
MRCLASS = {90-06},
MRNUMBER = {86f:90002b},
}
@book {MR86f:90002a,
TITLE = {Contributions to operations research and mathematical
economics. {V}ol. {I}},
EDITOR = {Hammer, G. and Pallaschke, D.},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1984},
PAGES = {ix+400},
ISBN = {3-445-02381-6},
MRCLASS = {90-06},
MRNUMBER = {86f:90002a},
}
@book {MR86f:62080,
AUTHOR = {Seber, G. A. F.},
TITLE = {Multivariate observations},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1984},
PAGES = {xx+686},
ISBN = {0-471-88104-X},
MRCLASS = {62Hxx},
MRNUMBER = {86f:62080},
MRREVIEWER = {Anant M. Kshirsagar},
}
@article {MR86f:51023,
AUTHOR = {Mikha{\u\i}lichenko, G. G.},
TITLE = {Group symmetry and phenomenological symmetry in geometry},
JOURNAL = {Sibirsk. Mat. Zh.},
FJOURNAL = {Akademiya Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u\i \
Matematicheski\u\i\ Zhurnal},
VOLUME = {25},
YEAR = {1984},
NUMBER = {5},
PAGES = {99--113},
ISSN = {0037-4474},
MRCLASS = {51K99},
MRNUMBER = {86f:51023},
MRREVIEWER = {V. N. Berestovski{\u\i}},
}
@article {MR86e:92045,
AUTHOR = {HAVEL, T.F. and KUNTZ, I.D. and CRIPPEN, B.},
TITLE = {Errata: ``{T}he theory and practice of distance geometry''
[{B}ull. {M}ath. {B}iol. {\bf 45} (1983), no. 5, 665--720;
{M}{R} 84k:92037]},
JOURNAL = {Bull. Math. Biol.},
FJOURNAL = {Bulletin of Mathematical Biology},
VOLUME = {47},
YEAR = {1985},
NUMBER = {1},
PAGES = {157},
ISSN = {0092-8240},
CODEN = {BMBTAP},
MRCLASS = {92A90},
MRNUMBER = {86e:92045},
}
@book {MR86d:92001,
TITLE = {Trends in mathematical psychology},
EDITOR = {Degreef, E. and van Buggenhaut, J.},
NOTE = {Papers presented at the 14th European mathematical psychology
group meeting held in Brussels, September 12--14, 1983},
PUBLISHER = {Elsevier Scientific Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1984},
PAGES = {xiii+478},
ISBN = {0-444-87512-3},
MRCLASS = {92-06 (62-06 90-06)},
MRNUMBER = {86d:92001},
}
@article {MR86d:62093,
AUTHOR = {ten Berge, Jos M. F.},
TITLE = {A joint treatment of varimax rotation and the problem of
diagonalizing symmetric matrices simultaneously in the
least-squares sense},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {49},
YEAR = {1984},
NUMBER = {3},
PAGES = {347--358},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62H25},
MRNUMBER = {86d:62093},
MRREVIEWER = {Byron J. T. Morgan},
}
@article {MR86b:92029,
AUTHOR = {Doignon, Jean-Paul and Ducamp, Andr{\'e} and Falmagne,
Jean-Claude},
TITLE = {On realizable biorders and the biorder dimension of a
relation},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {28},
YEAR = {1984},
NUMBER = {1},
PAGES = {73--109},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A27 (90A10)},
MRNUMBER = {86b:92029},
MRREVIEWER = {Fumiko Samejima},
}
@book {MR86b:62012,
AUTHOR = {Tosstorff, G{\"u}nther},
TITLE = {Methoden der geometrischen {D}atenanalyse und ihre {A}nwendung
bei der {U}ntersuchung des {E}ntwicklungsprozesses},
PUBLISHER = {Physica-Verlag},
ADDRESS = {Heidelberg},
YEAR = {1983},
PAGES = {183},
ISBN = {3-7908-0302-2},
MRCLASS = {62-07 (62H25 62H30)},
MRNUMBER = {86b:62012},
}
@book {MR85m:62114,
AUTHOR = {Krafft, Olaf},
TITLE = {Multivariate deskriptive statistische {V}erfahren},
PUBLISHER = {Westf\"alische Wilhelms-Universit\"at M\"unster Institut f\"ur
Mathematische Statistik},
ADDRESS = {M\"unster},
YEAR = {1983},
PAGES = {iv+95},
MRCLASS = {62H05 (62-07)},
MRNUMBER = {85m:62114},
MRREVIEWER = {Franz Streit},
}
@article {MR85m:54050,
AUTHOR = {Naimpally, S. A. and Singh, K. L. and Whitfield, J. H. M.},
TITLE = {Fixed and common fixed points for nonexpansive mappings in
convex metric spaces},
JOURNAL = {Math. Sem. Notes Kobe Univ.},
FJOURNAL = {Kobe University. Mathematics Seminar Notes},
VOLUME = {11},
YEAR = {1983},
NUMBER = {2},
PAGES = {239--248},
ISSN = {0385-633X},
MRCLASS = {54H25},
MRNUMBER = {85m:54050},
MRREVIEWER = {William O. Ray},
}
@inproceedings {MR85m:51007,
AUTHOR = {Dubikajtis, L.},
TITLE = {A system of axioms for plane {E}uclidean, hyperbolic and
elliptic geometries},
BOOKTITLE = {Proceedings of the conference on combinatorial and incidence
geometry: principles and applications (La Mendola, 1982)},
PAGES = {283--288},
PUBLISHER = {Vita e Pensiero},
ADDRESS = {Milan},
YEAR = {1984},
MRCLASS = {51K05 (51M05 51M10)},
MRNUMBER = {85m:51007},
MRREVIEWER = {L. M. Kelly},
}
@article {MR85k:05093,
AUTHOR = {Fishburn, Peter C.},
TITLE = {On the sphericity and cubicity of graphs},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series B},
VOLUME = {35},
YEAR = {1983},
NUMBER = {3},
PAGES = {309--318},
ISSN = {0095-8956},
CODEN = {JCBTB8},
MRCLASS = {05C99},
MRNUMBER = {85k:05093},
MRREVIEWER = {M. C. Golumbic},
}
@article {MR85h:62127,
AUTHOR = {Tversky, Amos and Rinott, Yosef and Newman, Charles M.},
TITLE = {Nearest neighbor analysis of point processes: applications to
multidimensional scaling},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {27},
YEAR = {1983},
NUMBER = {3},
PAGES = {235--250},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {62M99 (62P15 92A25)},
MRNUMBER = {85h:62127},
}
@incollection {MR85h:62082,
AUTHOR = {DE LEEUW, J. and HEISER, W.},
TITLE = {Theory of multidimensional scaling},
BOOKTITLE = {Classification, pattern recognition and reduction of
dimensionality},
PAGES = {285--316},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1982},
MRCLASS = {62H99},
MRNUMBER = {85h:62082},
MRREVIEWER = {M. A. Chmielewski},
}
@article {MR85g:92019,
AUTHOR = {Feger, Hubert and Bien, Walter},
TITLE = {Network unfolding},
JOURNAL = {Social Networks},
FJOURNAL = {Social Networks. An International Journal of Structural
Analysis},
VOLUME = {4},
YEAR = {1982/83},
NUMBER = {3},
PAGES = {257--283},
ISSN = {0378-8733},
MRCLASS = {92A20 (05C99)},
MRNUMBER = {85g:92019},
MRREVIEWER = {E. C. Johnsen},
}
@book {MR85g:62080,
TITLE = {Multivariate statistische {V}erfahren},
EDITOR = {Fahrmeir, Ludwig and Hamerle, Alfred},
PUBLISHER = {Walter de Gruyter \& Co.},
ADDRESS = {Berlin},
YEAR = {1984},
PAGES = {xiii+796},
ISBN = {3-11-008509-7},
MRCLASS = {62Hxx},
MRNUMBER = {85g:62080},
}
@article {MR85e:62219,
AUTHOR = {Cailliez, Francis},
TITLE = {The analytical solution of the additive constant problem},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {48},
YEAR = {1983},
NUMBER = {2},
PAGES = {305--308},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15 (15A24)},
MRNUMBER = {85e:62219},
MRREVIEWER = {Huynh Huynh},
}
@article {MR85e:62123,
AUTHOR = {de Leeuw, Jan},
TITLE = {Differentiability of {K}ruskal's stress at a local minimum},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {49},
YEAR = {1984},
NUMBER = {1},
PAGES = {111--113},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62H99},
MRNUMBER = {85e:62123},
}
@book {MR85a:62184,
AUTHOR = {Litvak, B. G.},
TITLE = {Ekspertnaya informatsiya},
NOTE = {Metody polucheniya i analiza. [Methods of collection and
analysis]},
PUBLISHER = {``Radio i Svyaz\cprime''},
ADDRESS = {Moscow},
YEAR = {1982},
PAGES = {184},
MRCLASS = {62P25 (62-07 62H99 90A05 92A25)},
MRNUMBER = {85a:62184},
MRREVIEWER = {B. G. Mirkin},
}
@article {MR84m:62078,
AUTHOR = {Deville, J.-C. and Saporta, G.},
TITLE = {Correspondence analysis, with an extension towards nominal
time series},
JOURNAL = {J. Econometrics},
FJOURNAL = {Journal of Econometrics},
VOLUME = {22},
YEAR = {1983},
NUMBER = {1-2},
PAGES = {169--189},
ISSN = {0304-4076},
CODEN = {JECMB6},
MRCLASS = {62H20},
MRNUMBER = {84m:62078},
}
@book {MR84m:62002,
TITLE = {Classification, pattern recognition and reduction of
dimensionality},
EDITOR = {Krishnaiah, Paruchuri R. and Kanal, Laveen N.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1982},
PAGES = {xxii+903},
ISBN = {0-444-86217-*rX},
MRCLASS = {62-06 (68-06)},
MRNUMBER = {84m:62002},
}
@article {MR84k:92037,
AUTHOR = {HAVEL, T.F. and KUNTZ, I.D. and CRIPPEN, G.M.},
TITLE = {The theory and practice of distance geometry},
JOURNAL = {Bull. Math. Biol.},
FJOURNAL = {Bulletin of Mathematical Biology},
VOLUME = {45},
YEAR = {1983},
NUMBER = {5},
PAGES = {665--720},
ISSN = {0092-8240},
CODEN = {BMBTAP},
MRCLASS = {92A90 (51K99 52A99)},
MRNUMBER = {84k:92037},
MRREVIEWER = {J. E. Valentine},
}
@book {MR84k:62080,
AUTHOR = {Takeuchi, Kei and Yanai, Haruo and Mukherjee, Bishwa Nath},
TITLE = {The foundations of multivariate analysis},
NOTE = {A unified approach by means of projection onto linear
subspaces,
A Halsted Press Book},
PUBLISHER = {John Wiley \&\ Sons Inc.},
ADDRESS = {New York},
YEAR = {1982},
PAGES = {xi+458},
ISBN = {0-85226-964-1},
MRCLASS = {62Hxx (62-02)},
MRNUMBER = {84k:62080},
MRREVIEWER = {W. N. Venables},
}
@article {MR84j:52019,
AUTHOR = {Yang, Lu and Zhang, Jing Zhong},
TITLE = {The concept of the rank of an abstract distance geometry},
JOURNAL = {J. China Univ. Sci. Tech.},
FJOURNAL = {Journal of China University of Science and Technology.
Zhongguo Kexue Jishu Daxue Xuebao},
VOLUME = {10},
YEAR = {1980},
NUMBER = {4},
PAGES = {52--65},
MRCLASS = {52A50 (51K05)},
MRNUMBER = {84j:52019},
}
@book {MR84f:62146,
AUTHOR = {Davison, Mark L.},
TITLE = {Multidimensional scaling},
PUBLISHER = {John Wiley \&\ Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1983},
PAGES = {xiv+242},
ISBN = {0-471-86417-X},
MRCLASS = {62P15 (92A25)},
MRNUMBER = {84f:62146},
}
@book {MR84f:00036,
AUTHOR = {Rapoport, Anatol},
TITLE = {Mathematical models in the social and behavioral sciences},
NOTE = {Based on a translation of the German original},
PUBLISHER = {John Wiley \&\ Sons Inc.},
ADDRESS = {New York},
YEAR = {1983},
PAGES = {xii+507},
ISBN = {0-471-86449-8},
MRCLASS = {00A71 (90-01 92-01)},
MRNUMBER = {84f:00036},
MRREVIEWER = {Fred W. Roush},
}
@book {MR84c:51003,
TITLE = {Problems in discrete geometry, 1980},
EDITOR = {Moser, W. O. J. and Blind, G. and Klee, V. and Rousseau, C.
and Goodman, J. and Monson, B. and Wetzel, J. and Kelly, L. M.
and Purdy, G. and Wilker, J.},
EDITION = {Fifth},
PUBLISHER = {William Moser Department of Mathematics McGill University},
ADDRESS = {Montreal, Que.},
YEAR = {1980},
PAGES = {iv+42},
MRCLASS = {51-02 (05B40 51K05)},
MRNUMBER = {84c:51003},
}
@book {MR84b:00037,
TITLE = {Sistemnye issledovaniya},
EDITOR = {Gvishiani, D. M. and Sadovski{\u\i}, V. N.},
NOTE = {Metodologicheskie problemy. [Methodological problems],
Ezhegodnik 1981. [Yearbook 1981]},
PUBLISHER = {``Nauka''},
ADDRESS = {Moscow},
YEAR = {1981},
PAGES = {384},
MRCLASS = {00A69 (92-06 93-06)},
MRNUMBER = {84b:00037},
}
@book {MR84a:62086,
AUTHOR = {Johnson, Richard Arnold and Wichern, Dean W.},
TITLE = {Applied multivariate statistical analysis},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, N.J.},
YEAR = {1982},
PAGES = {xiii+594},
ISBN = {0-13-041400-X},
MRCLASS = {62H15 (62H25 62H30)},
MRNUMBER = {84a:62086},
MRREVIEWER = {Dennis L. Young},
}
@article {MR83m:62138,
AUTHOR = {Miyano, Hisao and Inukai, Yukio},
TITLE = {Sequential estimation in multidimensional scaling},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {47},
YEAR = {1982},
NUMBER = {3},
PAGES = {321--336},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62L12 (62H99)},
MRNUMBER = {83m:62138},
}
@article {MR83m:62107,
AUTHOR = {Ramsay, J. O.},
TITLE = {Some statistical approaches to multidimensional scaling data},
NOTE = {With discussion and a reply by the author},
JOURNAL = {J. Roy. Statist. Soc. Ser. A},
FJOURNAL = {Journal of the Royal Statistical Society. Series A. General},
VOLUME = {145},
YEAR = {1982},
NUMBER = {3},
PAGES = {285--312},
ISSN = {0035-9238},
CODEN = {JSTAAG},
MRCLASS = {62H99 (62-07)},
MRNUMBER = {83m:62107},
}
@article {MR83j:62156,
AUTHOR = {Takane, Yoshio and Carroll, J. Douglas},
TITLE = {Nonmetric maximum likelihood multidimensional scaling from
directional rankings of similarities},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {46},
YEAR = {1981},
NUMBER = {4},
PAGES = {389--405},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15},
MRNUMBER = {83j:62156},
}
@incollection {MR83j:53072,
AUTHOR = {Berger, Marcel},
TITLE = {Une caract\'erisation purement m\'etrique des vari\'et\'es
riemanniennes \`a courbure constante},
BOOKTITLE = {E. B. Christoffel (Aachen/Monschau, 1979)},
PAGES = {480--492},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1981},
MRCLASS = {53C70 (51K99 53B20)},
MRNUMBER = {83j:53072},
MRREVIEWER = {Paul E. Ehrlich},
}
@book {MR83i:92051,
AUTHOR = {Eckes, Thomas and Ro{\ss}bach, Helmut},
TITLE = {Clusteranalysen},
NOTE = {Kohlhammer Standards Psychologie. [Kohlhammer Standard
Psychology]},
PUBLISHER = {Verlag W. Kohlhammer},
ADDRESS = {Stuttgart},
YEAR = {1980},
PAGES = {124},
ISBN = {3-17-001361-0},
MRCLASS = {92A25 (62H30)},
MRNUMBER = {83i:92051},
}
@book {MR83i:81073,
AUTHOR = {CRIPPEN, G.M.},
TITLE = {Distance geometry and conformational calculations},
PUBLISHER = {Research Studies Press [John Wiley \&\ Sons]},
ADDRESS = {Chichester},
YEAR = {1981},
PAGES = {ii+58},
ISBN = {0-471-27991-9},
MRCLASS = {81G35 (51K05)},
MRNUMBER = {83i:81073},
}
@article {YH38,
author = "G. Young and A.S. Householder",
title = "Discussion of a set of points in terms of their
mutual distances",
journal = "Psychometrika",
year = "1938",
volume = "3",
pages = "19-22"}
@article {MR83h:92080,
AUTHOR = {Young, Forrest W.},
TITLE = {Quantitative analysis of qualitative data},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {46},
YEAR = {1981},
NUMBER = {4},
PAGES = {357--388},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {92A25},
MRNUMBER = {83h:92080},
}
@article {MR83h:92079,
AUTHOR = {Colonius, H. and Schulze, H.-H.},
TITLE = {Tree structures for proximity data},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {34},
YEAR = {1981},
NUMBER = {2},
PAGES = {167--180},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {92A25 (05C05 06A99 90A10)},
MRNUMBER = {83h:92079},
MRREVIEWER = {Fred W. Roush},
}
@book {MR83f:92002,
TITLE = {Normativnye i deskriptivnye modeli prinyatiya reshenii},
EDITOR = {Lomov, B. F. and Krylov, V. Yu. and Krylova, N. V. and Luce,
R. D.},
NOTE = {Papers from the Soviet-American Seminar held in Tbilisi, March
28--April 4, 1979},
PUBLISHER = {``Nauka''},
ADDRESS = {Moscow},
YEAR = {1981},
PAGES = {351},
MRCLASS = {92-06 (92A25)},
MRNUMBER = {83f:92002},
}
@article {MR83d:92110,
AUTHOR = {Lee, Sik Yum and Bentler, P. M.},
TITLE = {Functional relations in multidimensional scaling},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {33},
YEAR = {1980},
NUMBER = {2},
PAGES = {142--150},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {92A25 (62P15)},
MRNUMBER = {83d:92110},
MRREVIEWER = {P. Suppes},
}
@article {MR83c:92103,
AUTHOR = {Smithson, Michael},
TITLE = {Applications of fuzzy set concepts to behavioral sciences},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {2},
YEAR = {1982},
NUMBER = {3},
PAGES = {257--274},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {92A90 (03E72 62H30 68G10)},
MRNUMBER = {83c:92103},
}
@article {MR83a:51024,
AUTHOR = {Gower, J.C.},
TITLE = {{E}uclidean distance geometry},
JOURNAL = {Math. Sci.},
FJOURNAL = {The Mathematical Scientist},
VOLUME = {7},
YEAR = {1982},
NUMBER = {1},
PAGES = {1--14},
ISSN = {0312-3685},
MRCLASS = {51M05 (51K05)},
MRNUMBER = {83a:51024},
MRREVIEWER = {J. Strommer},
}
@book {MR82m:92071b,
AUTHOR = {Legendre, Louis and Legendre, Pierre},
TITLE = {\'{E}cologie num\'erique. {T}ome 2},
NOTE = {La structure des donn\'ees \'ecologiques. [The structure of
ecological data]},
PUBLISHER = {Masson},
ADDRESS = {Paris},
YEAR = {1979},
PAGES = {viii+254 pp. (loose errata)},
ISBN = {2-225-62414-3},
MRCLASS = {92A17 (62P10)},
MRNUMBER = {82m:92071b},
}
@book {MR82m:92071a,
AUTHOR = {Legendre, Louis and Legendre, Pierre},
TITLE = {\'{E}cologie num\'erique. {T}ome 1},
NOTE = {Le traitement multiple des donn\'ees \'ecologiques. [The
multiple treatment of ecological data],
With a preface by Ram\'on Margalef},
PUBLISHER = {Masson},
ADDRESS = {Paris},
YEAR = {1979},
PAGES = {xiv+197 pp. (loose errata)},
ISBN = {2-225-62414-3},
MRCLASS = {92A17 (62P10)},
MRNUMBER = {82m:92071a},
}
@incollection {MR82k:53065,
AUTHOR = {Alexander, S.},
TITLE = {Distance geometry in {R}iemannian manifolds-with-boundary},
BOOKTITLE = {Global differential geometry and global analysis (Berlin,
1979)},
PAGES = {12--18},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
MRCLASS = {53C22},
MRNUMBER = {82k:53065},
MRREVIEWER = {Gudlaugur Thorbergsson},
}
@proceedings {MR82i:53001,
TITLE = {Global differential geometry and global analysis},
BOOKTITLE = {Proceedings of the Colloquium held at the Technical University
of Berlin, Berlin, November 21--24, 1979},
EDITOR = {Ferus, Dirk and K{\"u}hnel, Wolfgang and Wegner, Bernd},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
PAGES = {xi+299},
ISBN = {3-540-10285-X},
MRCLASS = {53-06},
MRNUMBER = {82i:53001},
}
@book {MR82h:62097,
AUTHOR = {Chatfield, Christopher and Collins, Alexander J.},
TITLE = {Introduction to multivariate analysis},
PUBLISHER = {Chapman \&\ Hall},
ADDRESS = {London},
YEAR = {1980},
PAGES = {x+246},
ISBN = {0-412-16030-7},
MRCLASS = {62H99},
MRNUMBER = {82h:62097},
MRREVIEWER = {I. Olkin},
}
@proceedings {MR82f:62004,
TITLE = {Data analysis and informatics},
BOOKTITLE = {Proceedings of the Second International Symposium held in
Versailles, October 17--19, 1979},
EDITOR = {Diday, E. and Lebart, L. and Tomassone, R.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1980},
PAGES = {viii+790},
ISBN = {0-444-86005-3},
MRCLASS = {62-02},
MRNUMBER = {82f:62004},
}
@proceedings {MR82d:62108,
TITLE = {Klassifikatsiya i klaster},
BOOKTITLE = {Proceedings of an Advanced Seminar held at the University of
Wisconsin, Madison, Wis., May 3--5, 1976},
EDITOR = {Van Ryzin, John},
NOTE = {Translated from the English by P. P. Kol\cprime cov},
PUBLISHER = {``Mir''},
ADDRESS = {Moscow},
YEAR = {1980},
PAGES = {389},
MRCLASS = {62H30},
MRNUMBER = {82d:62108},
}
@book {MR82c:90090,
AUTHOR = {Nijkamp, Peter},
TITLE = {Multidimensional spatial data and decision analysis},
NOTE = {In association with Piet Rietveld, Jaap Spronk, Wouter van
Veenendaal and Henk Voogd},
PUBLISHER = {John Wiley \&\ Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1979},
PAGES = {xii+322},
ISBN = {0-471-27603-0},
MRCLASS = {90C31 (62H20 92A90 94D05)},
MRNUMBER = {82c:90090},
MRREVIEWER = {J. K. Ord},
}
@article {MR82b:92047,
AUTHOR = {Titiev, Robert J.},
TITLE = {A locus problem involving the three-dimensional city-block
metric},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {22},
YEAR = {1980},
NUMBER = {3},
PAGES = {209--217},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (03C68 51F99)},
MRNUMBER = {82b:92047},
}
@article {MR82b:92041,
AUTHOR = {Whitmore, R. C. and Harner, E. J.},
TITLE = {Analyses of multivariately determined community matrices using
cluster analysis and multidimensional scaling},
JOURNAL = {Biometrical J.},
FJOURNAL = {Biometrical Journal},
VOLUME = {22},
YEAR = {1980},
NUMBER = {8},
PAGES = {715--723},
ISSN = {0323-3847},
CODEN = {BIJODN},
MRCLASS = {92A17},
MRNUMBER = {82b:92041},
}
@book {MR82a:62002,
AUTHOR = {Hartmann, Wolfgang},
TITLE = {Geometrische {M}odelle zur {A}nalyse empirischer {D}aten},
PUBLISHER = {Akademie-Verlag},
ADDRESS = {Berlin},
YEAR = {1979},
PAGES = {255},
MRCLASS = {62-01 (62H25 62P25)},
MRNUMBER = {82a:62002},
MRREVIEWER = {Hilmar Drygas},
}
@article {MR81m:62112,
AUTHOR = {Schmid, Friedrich},
TITLE = {\"{U}ber ein {P}roblem der mehrdimensionalen {S}kalierung},
JOURNAL = {Statist. Hefte (N.F.)},
FJOURNAL = {Statistische Hefte. Neue Folge},
VOLUME = {21},
YEAR = {1980},
NUMBER = {2},
PAGES = {140--144},
ISSN = {0039-0631},
CODEN = {STHED9},
MRCLASS = {62H30},
MRNUMBER = {81m:62112},
MRREVIEWER = {Z. {\v{S}}id{\'a}k},
}
@article {MR81k:92063,
AUTHOR = {Klapper, Michael H. and DeBrota, David},
TITLE = {Use of {C}ayley-{M}enger determinants in the calculation of
molecular structures},
JOURNAL = {J. Comput. Phys.},
FJOURNAL = {Journal of Computational Physics},
VOLUME = {37},
YEAR = {1980},
NUMBER = {1},
PAGES = {56--69},
ISSN = {0021-9991},
CODEN = {JCTPAH},
MRCLASS = {92A40 (51K05)},
MRNUMBER = {81k:92063},
MRREVIEWER = {John Cantwell},
}
@book {MR81k:62083,
AUTHOR = {Wilke, J{\"u}rgen},
TITLE = {Bibliographie zu {V}erfahren der multivariaten {S}tatistik,
der mehrdimensionalen {K}lassifikation und ihre {A}nwendungen
in {N}atur- und {G}esellschaftswissenschaften 1901--1975. {I},
{I}{I}},
NOTE = {With an introduction in German, Russian, English and French},
PUBLISHER = {Akademie-Verlag},
ADDRESS = {Berlin},
YEAR = {1978},
PAGES = {1123},
MRCLASS = {62H25 (62H30)},
MRNUMBER = {81k:62083},
}
@article {MR81j:62115,
AUTHOR = {Sibson, Robin},
TITLE = {Studies in the robustness of multidimensional scaling:
perturbational analysis of classical scaling},
JOURNAL = {J. Roy. Statist. Soc. Ser. B},
FJOURNAL = {Journal of the Royal Statistical Society. Series B.
Methodological},
VOLUME = {41},
YEAR = {1979},
NUMBER = {2},
PAGES = {217--229},
ISSN = {0035-9246},
CODEN = {JSTBAJ},
MRCLASS = {62H99 (62P15)},
MRNUMBER = {81j:62115},
MRREVIEWER = {Masashi Okamoto},
}
@book {MR81j:62001,
AUTHOR = {Srivastava, Muni Shanker and Khatri, C. G.},
TITLE = {An introduction to multivariate statistics},
PUBLISHER = {North-Holland},
ADDRESS = {New York},
YEAR = {1979},
PAGES = {xvi+350},
ISBN = {0-444-00302-9},
MRCLASS = {62-01 (62Hxx)},
MRNUMBER = {81j:62001},
MRREVIEWER = {Somesh Das Gupta},
}
@article {MR81i:92028,
AUTHOR = {Shepard, Roger N.},
TITLE = {Multidimensional scaling, tree-fitting, and clustering},
JOURNAL = {Science},
FJOURNAL = {American Association for the Advancement of Science. Science},
VOLUME = {210},
YEAR = {1980},
NUMBER = {4468},
PAGES = {390--398},
ISSN = {0036-8075},
CODEN = {SCIEAS},
MRCLASS = {92A27 (62P15)},
MRNUMBER = {81i:92028},
}
@article {MR81i:62109,
AUTHOR = {Krane, William R.},
TITLE = {Least squares estimation of individual differences in
multidimensional scaling},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {31},
YEAR = {1978},
NUMBER = {2},
PAGES = {193--208},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {62H99},
MRNUMBER = {81i:62109},
MRREVIEWER = {C. Hayashi},
}
@book {MR81h:62003,
AUTHOR = {Mardia, Kantilal Varichand and Kent, John T. and Bibby, John
M.},
TITLE = {Multivariate analysis},
NOTE = {Probability and Mathematical Statistics: A Series of
Monographs and Textbooks},
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {London},
YEAR = {1979},
PAGES = {xv+521},
ISBN = {0-12-471250-9},
MRCLASS = {62-01 (62Hxx)},
MRNUMBER = {81h:62003},
MRREVIEWER = {A. W. Davis},
}
@article {MR81g:92026,
AUTHOR = {Cunningham, James P.},
TITLE = {Free trees and bidirectional trees as representations of
psychological distance},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {17},
YEAR = {1978},
NUMBER = {2},
PAGES = {165--188},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A27 (05C05 62P15)},
MRNUMBER = {81g:92026},
MRREVIEWER = {Harold Law},
}
@incollection {MR81c:62069,
AUTHOR = {de Leeuw, Jan and Heiser, Willem},
TITLE = {Multidimensional scaling with restrictions on the
configuration},
BOOKTITLE = {Multivariate analysis, V (Proc. Fifth Internat. Sympos., Univ.
Pittsburgh, Pittsburgh, Pa., 1978)},
PAGES = {501--522},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1980},
MRCLASS = {62H99 (62-07)},
MRNUMBER = {81c:62069},
MRREVIEWER = {C. Hayashi},
}
@article {MR81c:62068,
AUTHOR = {Kamenski{\u\i}, V. S.},
TITLE = {Methods and models of nonmetric multidimensional scaling
(survey)},
JOURNAL = {Avtomat. i Telemekh.},
FJOURNAL = {Akademiya Nauk SSSR. Avtomatika i Telemekhanika},
YEAR = {1977},
NUMBER = {8},
PAGES = {118--156},
ISSN = {0005-2310},
CODEN = {AVTEAI},
MRCLASS = {62H99 (68B15 90A06 92A25)},
MRNUMBER = {81c:62068},
}
@article {MR81a:62110,
AUTHOR = {Maital, Shlomo},
TITLE = {Multidimensional scaling. {S}ome econometric applications},
JOURNAL = {J. Econometrics},
FJOURNAL = {Journal of Econometrics},
VOLUME = {8},
YEAR = {1978},
NUMBER = {1},
PAGES = {33--46},
ISSN = {0304-4076},
CODEN = {JECMB6},
MRCLASS = {62P20},
MRNUMBER = {81a:62110},
}
@proceedings {MR81a:62004,
TITLE = {Multivariate analysis. {V}},
BOOKTITLE = {Proceedings of the Fifth International Symposium held at the
University of Pittsburgh, Pittsburgh, Pa., June 19--24, 1978},
EDITOR = {Krishnaiah, Paruchuri R.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1980},
PAGES = {x+677},
ISBN = {0-444-85321-9},
MRCLASS = {62-06 (60-06)},
MRNUMBER = {81a:62004},
}
@article {MR80m:62103,
AUTHOR = {Kamenski{\u\i}, V. S.},
TITLE = {A matrix approach to algorithms of nonmetric multidimensional
scaling},
JOURNAL = {Avtomat. i Telemekh.},
FJOURNAL = {Akademiya Nauk SSSR. Avtomatika i Telemekhanika},
YEAR = {1979},
NUMBER = {1},
PAGES = {122--131},
ISSN = {0005-2310},
CODEN = {AVTEAI},
MRCLASS = {62P15 (62-07)},
MRNUMBER = {80m:62103},
MRREVIEWER = {C. W. Chen},
}
@inproceedings {MR80j:05060,
AUTHOR = {Rosenfeld, M.},
TITLE = {Distance geometry and graphs},
BOOKTITLE = {Proceedings of the Ninth Southeastern Conference on
Combinatorics, Graph Theory, and Computing (Florida Atlantic
Univ., Boca Raton, Fla., 1978)},
PAGES = {639--648},
PUBLISHER = {Utilitas Math.},
ADDRESS = {Winnipeg, Man.},
YEAR = {1978},
MRCLASS = {05C10 (51K05)},
MRNUMBER = {80j:05060},
MRREVIEWER = {R. A. Melter},
}
@article {MR80f:62060,
AUTHOR = {Itakura, Hidekiyo and Yamauchi, Toshihiro},
TITLE = {Multidimensional scaling techniques---a survey for
multivariate analysis},
JOURNAL = {Systems and Control},
FJOURNAL = {Systems and Control (Shisutemu to Seigyo)},
VOLUME = {23},
YEAR = {1979},
NUMBER = {8},
PAGES = {433--443},
ISSN = {0374-4507},
CODEN = {SYCNA9},
MRCLASS = {62H25 (62P15)},
MRNUMBER = {80f:62060},
}
@article {MR80c:62075,
AUTHOR = {Mardia, K. V.},
TITLE = {Some properties of classical multi-dimensional scaling},
JOURNAL = {Comm. Statist. A---Theory Methods},
FJOURNAL = {Communications in Statistics. A. Theory and Methods},
VOLUME = {7},
YEAR = {1978},
NUMBER = {13},
PAGES = {1233--1241},
ISSN = {0361-0926},
CODEN = {CSTMDC},
MRCLASS = {62H25 (62-07 62P15)},
MRNUMBER = {80c:62075},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@article {MR80b:92048,
AUTHOR = {Holman, Eric W.},
TITLE = {Completely nonmetric multidimensional scaling},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {18},
YEAR = {1978},
NUMBER = {1},
PAGES = {39--51},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25},
MRNUMBER = {80b:92048},
}
@article {MR80a:54053,
AUTHOR = {Lew, John S.},
TITLE = {Some counterexamples in multidimensional scaling},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {17},
YEAR = {1978},
NUMBER = {3},
PAGES = {247--254},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {54E40 (46N05 54E35)},
MRNUMBER = {80a:54053},
MRREVIEWER = {W. Kuperberg},
}
@proceedings {MR80a:05004,
TITLE = {Proceedings of the {N}inth {S}outheastern {C}onference on
{C}ombinatorics, {G}raph {T}heory, and {C}omputing},
EDITOR = {Hoffman, Frederick and McCarthy, D. and Mullin, Ronald C. and
Stanton, Ralph G.},
NOTE = {Held at Florida Atlantic University, Boca Raton, Fla., January
30--February 2, 1978},
PUBLISHER = {Utilitas Mathematica Publishing Inc.},
ADDRESS = {Winnipeg, Man.},
YEAR = {1978},
PAGES = {x+694 pp. (1 plate)},
ISBN = {0-919628-21-4},
MRCLASS = {05-06 (68E10 94C15)},
MRNUMBER = {80a:05004},
}
@article {MR58:26185,
AUTHOR = {Hubert, Lawrence and Busk, Patricia},
TITLE = {Normative location theory: placement in continuous space},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {14},
YEAR = {1976},
NUMBER = {3},
PAGES = {187--210},
MRCLASS = {92A25 (90B99)},
MRNUMBER = {58 \#26185},
MRREVIEWER = {David N. Burghes},
}
@inproceedings {MR58:20632,
AUTHOR = {Leblebici, H{\"u}seyin},
TITLE = {Measurement of social structure in organizations: an
application in multidimensional scaling},
BOOKTITLE = {Proceedings of Applied Statistics Seminars (Middle East Tech.
Univ., Ankara, 1976/77)},
JOURNAL = {Stud. Develop.},
NUMBER = {Special Issue},
YEAR = {1977},
PAGES = {35--120 (1978)},
MRCLASS = {92A20},
MRNUMBER = {58 \#20632},
}
@book {MR58:13415,
TITLE = {The analysis of survey data. {V}ol. {I}},
EDITOR = {Payne, Clive},
NOTE = {Exploring data structures},
PUBLISHER = {John Wiley \& Sons, London-New York-Sydney},
YEAR = {1977},
PAGES = {xv+273},
ISBN = {0-471-01706-X},
MRCLASS = {62-01 (62D05 62H25 62P15 62P25)},
MRNUMBER = {58 \#13415},
MRREVIEWER = {Graham J. G. Upton},
}
@article {MR58:8120,
AUTHOR = {Rabinowitz, George},
TITLE = {A procedure for ordering object pairs consistent with the
multidimensional unfolding model},
JOURNAL = {Psychometrika},
VOLUME = {41},
YEAR = {1976},
NUMBER = {3},
PAGES = {349--373},
MRCLASS = {62P15},
MRNUMBER = {58 \#8120},
}
@inproceedings {MR58:5398,
AUTHOR = {Howorka, Edward},
TITLE = {A characterization of {P}tolemaic graphs; survey of results},
BOOKTITLE = {Proceedings of the Eighth Southeastern Conference on
Combinatorics, Graph Theory and Computing (Louisiana State
Univ., Baton Rouge, La., 1977)},
PAGES = {355--361. Congressus Numerantium, No. XIX},
PUBLISHER = {Utilitas Math.},
ADDRESS = {Winnipeg, Man.},
YEAR = {1977},
MRCLASS = {05C99},
MRNUMBER = {58 \#5398},
MRREVIEWER = {David C. Kay},
}
@book {MR58:4197,
TITLE = {Proceedings of {A}pplied {S}tatistics {S}eminars},
EDITOR = {Tuncer, Yal{\c{c}}in},
NOTE = {Held at the Middle East Technical University, Ankara, 1976/77,
Stud. Develop. Special Issue {\bf 1977} (1978)},
PUBLISHER = {Middle East Technical University},
ADDRESS = {Ankara},
YEAR = {1978},
PAGES = {i--vii and 1--308},
MRCLASS = {90-06 (62-06)},
MRNUMBER = {58 \#4197},
}
@article {MR58:2536,
AUTHOR = {Arthurs, A. M.},
TITLE = {Geometrical formulation of {H}amiltonian boundary value
problems},
JOURNAL = {J. Math. Anal. Appl.},
VOLUME = {60},
YEAR = {1977},
NUMBER = {2},
PAGES = {483--492},
MRCLASS = {49A99 (35J25)},
MRNUMBER = {58 \#2536},
MRREVIEWER = {K. Najzar},
}
@incollection {MR57:17961,
AUTHOR = {de Leeuw, Jan},
TITLE = {Applications of convex analysis to multidimensional scaling},
BOOKTITLE = {Recent developments in statistics (Proc. European Meeting
Statisticians, Grenoble, 1976)},
PAGES = {133--145},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1977},
MRCLASS = {62H99},
MRNUMBER = {57 \#17961},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@book {MR57:17958,
AUTHOR = {Steinhausen, Detlef and Langer, Klaus},
TITLE = {Clusteranalyse},
NOTE = {Einf\"uhrung in Methoden und Verfahren der automatischen
Klassifikation,
de Gruyter Lehrbuch},
PUBLISHER = {Walter de Gruyter, Berlin-New York},
YEAR = {1977},
PAGES = {206},
ISBN = {3-11-007054-5},
MRCLASS = {62H30 (62-01)},
MRNUMBER = {57 \#17958},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@article {MR57:15580,
AUTHOR = {Lindman, Harold and Caelli, Terry},
TITLE = {Constant curvature {R}iemannian scaling},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {17},
YEAR = {1978},
NUMBER = {2},
PAGES = {89--109},
MRCLASS = {92A25},
MRNUMBER = {57 \#15580},
MRREVIEWER = {Burton H. Voorhees},
}
@article {MR57:10683,
AUTHOR = {Sharma, Ashok Kumar},
TITLE = {Geodetics},
JOURNAL = {An. Univ. Timi\c soara Ser. \c Sti. Mat.},
VOLUME = {12},
YEAR = {1974},
NUMBER = {2},
PAGES = {155--160 (1977)},
MRCLASS = {54E35 (52A50)},
MRNUMBER = {57 \#10683},
MRREVIEWER = {Grattan P. Murphy},
}
@incollection {MR56:16928,
AUTHOR = {Drouet d'Aubigny, G.},
TITLE = {Least squares analysis of ordinal data},
BOOKTITLE = {Recent developments in statistics (Proc. European Meeting
Statisticians, Grenoble, 1976)},
PAGES = {767--774},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1977},
MRCLASS = {62H99 (62P15)},
MRNUMBER = {56 \#16928},
MRREVIEWER = {C. Hayashi},
}
@book {MR56:6944,
TITLE = {Recent developments in statistics},
BOOKTITLE = {Proceedings of the European Meeting of Statisticians held in
Grenoble, 6--11 September, 1976},
EDITOR = {Brodeau, F. and Romier, G. and Van Cutsem, B.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1977},
PAGES = {x+808 pp. ISBN 0-7204-0751-6},
MRCLASS = {62-06 (60-06)},
MRNUMBER = {56 \#6944},
}
@article {MR56:4616,
AUTHOR = {CRIPPEN, G.M.},
TITLE = {A novel approach to calculation of conformation: distance
geometry},
JOURNAL = {J. Computational Phys.},
VOLUME = {24},
YEAR = {1977},
NUMBER = {1},
PAGES = {96--107},
MRCLASS = {82.65 (92A05)},
MRNUMBER = {56 \#4616},
MRREVIEWER = {John Cantwell},
}
@article {MR56:3040,
AUTHOR = {Kruskal, Joseph B.},
TITLE = {Three-way arrays: rank and uniqueness of trilinear
decompositions, with application to arithmetic complexity and
statistics},
JOURNAL = {Linear Algebra and Appl.},
VOLUME = {18},
YEAR = {1977},
NUMBER = {2},
PAGES = {95--138},
MRCLASS = {15A69 (68A20)},
MRNUMBER = {56 \#3040},
MRREVIEWER = {Marvin Marcus},
}
@book {MR56:2221,
TITLE = {Multiple criteria decision making},
EDITOR = {Cochrane, James L. and Zeleny, Milan},
NOTE = {Papers presented at a Seminar held at Capstone House of the
University of South Carolina, Columbia, S.C., Oct. 26--27,
1972},
PUBLISHER = {University of South Carolina Press},
ADDRESS = {Columbia, S. C.},
YEAR = {1973},
PAGES = {xiv+816},
MRCLASS = {90A05},
MRNUMBER = {56 \#2221},
}
@article {MR56:1643,
AUTHOR = {Hubert, Lawrence and Schultz, James},
TITLE = {Quadratic assignment as a general data analysis strategy},
JOURNAL = {British J. Math. Statist. Psychology},
VOLUME = {29},
YEAR = {1976},
NUMBER = {2},
PAGES = {190--241},
MRCLASS = {62P15 (62H30)},
MRNUMBER = {56 \#1643},
}
@incollection {MR56:1615,
AUTHOR = {Chakravarti, I. M.},
TITLE = {Statistical designs from {R}oom's squares with applications},
BOOKTITLE = {Contributions to applied statistics},
PAGES = {223--231. Experientia Supplementum, Vol. 22},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1976},
MRCLASS = {62K10},
MRNUMBER = {56 \#1615},
MRREVIEWER = {E. Seiden},
}
@book {MR56:1517,
editor = {J. Van Ryzin},
TITLE = {Classification and clustering},
BOOKTITLE = {Proceedings of an Advanced Seminar held at the University of
Wisconsin, Madison, Wis., May 3--5, 1976},
NOTE = {Mathematics Research Center Publication, No. 37},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {New York},
YEAR = {1977},
PAGES = {x+467},
MRCLASS = {62-06 (92-06 68-06)},
MRNUMBER = {56 \#1517},
}
@book {MR55:13671,
AUTHOR = {Gnanadesikan, R.},
TITLE = {Methods for statistical data analysis of multivariate
observations},
NOTE = {A Wiley Publication in Applied Statistics},
PUBLISHER = {John Wiley \& Sons, New York-London-Sydney},
YEAR = {1977},
PAGES = {x+311},
MRCLASS = {62H30 (62H25 62H20)},
MRNUMBER = {55 \#13671},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@incollection {MR55:9420,
AUTHOR = {Schader, Martin and Lauwerth, Werner},
TITLE = {Distanzindizes zur mehrdimensionalen {S}kalierung},
BOOKTITLE = {Operations Research Verfahren, Band XXII},
PAGES = {166--175},
PUBLISHER = {Hain},
ADDRESS = {Meisenheim am Glan},
YEAR = {1976},
MRCLASS = {62H99},
MRNUMBER = {55 \#9420},
MRREVIEWER = {Margaret P. Gessaman},
}
@book {MR55:6625,
TITLE = {Statistical methods for digital computers},
EDITOR = {Enslein, Kurt and Ralston, Anthony and Wilf, Herbert S.},
NOTE = {Mathematical Methods for Digital Computers, Vol. III},
PUBLISHER = {Wiley-Interscience [John Wiley \& Sons},
ADDRESS = {Inc.], New York},
YEAR = {1977},
PAGES = {viii+454},
MRCLASS = {62-04},
MRNUMBER = {55 \#6625},
MRREVIEWER = {James E. Gentle},
}
@book {MR54:11655,
AUTHOR = {Bennett, Spencer and Bowers, David},
TITLE = {An introduction to multivariate techniques for social and
behavioural sciences},
PUBLISHER = {Halsted Press [John Wiley \& Sons], New York},
YEAR = {1976},
PAGES = {xii+156},
MRCLASS = {62H25 (62P15)},
MRNUMBER = {54 \#11655},
MRREVIEWER = {C. Hayashi},
}
@book {MR54:8979,
AUTHOR = {Press, S. James},
TITLE = {Applied multivariate analysis},
NOTE = {Series in Quantitative Methods for Decision-Making,
International Series in Decision Processes},
PUBLISHER = {Holt},
ADDRESS = {Rinehart and Winston, Inc., New York},
YEAR = {1972},
PAGES = {xx+521},
MRCLASS = {62HXX},
MRNUMBER = {54 \#8979},
MRREVIEWER = {Somesh Das Gupta},
}
@article {MR54:1526,
AUTHOR = {Shepard, Roger N.},
TITLE = {Representation of structure in similarity data: problems and
prospects},
JOURNAL = {Psychometrika},
VOLUME = {39},
YEAR = {1974},
PAGES = {373--421},
MRCLASS = {62P15 (92A25)},
MRNUMBER = {54 \#1526},
MRREVIEWER = {Robin Sibson},
}
@incollection {MR53:6432,
AUTHOR = {BLUMENTHAL, L.M.},
TITLE = {Four-point properties and norm postulates},
BOOKTITLE = {The geometry of metric and linear spaces (Proc. Conf.,
Michigan State Univ., East Lansing, Mich., 1974)},
PAGES = {1--13. Lecture Notes in Math., Vol. 490},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1975},
MRCLASS = {52A50 (46B99)},
MRNUMBER = {53 \#6432},
MRREVIEWER = {B. B. Phadke},
}
@inproceedings {MR53:6419,
editor = {L.M. Kelly},
TITLE = {The geometry of metric and linear spaces},
BOOKTITLE = {The geometry of metric and linear spaces (Proc. Conf.,
Michigan State Univ., East Lansing, Mich., 1974)},
PAGES = {233--244. Lecture Notes in Math., Vol. 490},
NOTE = {Contributed by Kenneth B. Stolarsky, Andrew Sobczyk, R.
Freese, Victor Klee, Allen Freedman, David Kay, J. J. Seidel,
Tom Sallee, G. D. Chakerian, L. M. Kelly, R. B. Eggleton, A.
S. Fraenkel, Branko Gr\"unbaum, Ralph Alexander, James Chew,
M. Edelstein, J. B. Kruskal, Dorothy Wolfe and Leo Moser},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1975},
MRCLASS = {52-XX},
MRNUMBER = {53 \#6419},
MRREVIEWER = {C. M. Petty},
}
@article {MR53:5310,
AUTHOR = {Steiner, Hans-Georg},
TITLE = {Mathematisierungen, die auf metrische {R}\"aume f\"uhren},
JOURNAL = {Math.-Phys. Semesterber.},
VOLUME = {23},
YEAR = {1976},
NUMBER = {1},
PAGES = {17--58},
MRCLASS = {05-01 (52-01)},
MRNUMBER = {53 \#5310},
MRREVIEWER = {R. J. Bumcrot},
}
@article {MR52:15132,
AUTHOR = {Caristi, James},
TITLE = {Fixed point theorems for mappings satisfying inwardness
conditions},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {215},
YEAR = {1976},
PAGES = {241--251},
MRCLASS = {47H10},
MRNUMBER = {52 \#15132},
MRREVIEWER = {Simeon Reich},
}
@article {MR52:5094,
AUTHOR = {Pieszko, Henry},
TITLE = {Multidimensional scaling in {R}iemannian space},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {12},
YEAR = {1975},
NUMBER = {4},
PAGES = {449--477},
MRCLASS = {92A25},
MRNUMBER = {52 \#5094},
MRREVIEWER = {C. P. Bruter},
}
@book {MR51:14407,
TITLE = {Multivariate statistical methods: among-groups covariation},
EDITOR = {Atchley, William R. and Bryant, Edwin H.},
NOTE = {Benchmark Papers in Systematic and Evolutionary Biology, Vol.
1},
PUBLISHER = {Dowden, Hutchinson\thinspace \&\thinspace Ross, Inc.,
Stroudsburg, Pa.},
YEAR = {1975},
PAGES = {xv+464},
MRCLASS = {62HXX},
MRNUMBER = {51 \#14407},
}
@article {MR50:8897,
AUTHOR = {Bloxom, Bruce},
TITLE = {An alternative method of fitting a model of individual
differences in multidimensional scaling},
JOURNAL = {Psychometrika},
VOLUME = {39},
YEAR = {1974},
PAGES = {365--367},
MRCLASS = {62P15},
MRNUMBER = {50 \#8897},
MRREVIEWER = {N. Giri},
}
@article {MR50:8465,
AUTHOR = {Domiaty, R. Z.},
TITLE = {Metrische {R}\"aume mit einer {E}lementarl\"ange},
JOURNAL = {Monatsh. Math.},
VOLUME = {76},
YEAR = {1972},
PAGES = {1--20},
MRCLASS = {54E99 (83.50)},
MRNUMBER = {50 \#8465},
MRREVIEWER = {H. Treder},
}
@book {MR50:6555,
TITLE = {Contemporary developments in mathematical psychology. {V}ol.
{I}{I}: {M}easurement, psychophysics, and neural information
processing},
BOOKTITLE = {Proceedings of a Symposium, University of Michigan, Ann Arbor,
Mich., 1972},
EDITOR = {Krantz, David H. and Atkinson, Richard C. and Luce, R. Duncan
and Suppes, Patrick},
PUBLISHER = {W. H. Freeman and Co.},
ADDRESS = {San Francisco, Calif.},
YEAR = {1974},
PAGES = {xv+468},
MRCLASS = {92A25},
MRNUMBER = {50 \#6555},
}
@article {MR50:3121,
AUTHOR = {Alexander, Ralph and Stolarsky, Kenneth B.},
TITLE = {Extremal problems of distance geometry related to energy
integrals},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {193},
YEAR = {1974},
PAGES = {1--31},
MRCLASS = {52A50},
MRNUMBER = {50 \#3121},
MRREVIEWER = {G. J. Butler},
}
@article {MR50:1133,
AUTHOR = {Valentine, J. E. and Andalafte, E. Z.},
TITLE = {Intrinsic four point properties which characterize hyperbolic
and {E}uclidean spaces},
JOURNAL = {Bull. Acad. Polon. Sci. S\'er. Sci. Math. Astronom. Phys.},
VOLUME = {21},
YEAR = {1973},
PAGES = {1103--1106},
MRCLASS = {52A50 (50C05)},
MRNUMBER = {50 \#1133},
MRREVIEWER = {F. Bachmann},
}
@article {MR49:10939,
AUTHOR = {Dunkl, Charles F. and Ramirez, Donald E.},
TITLE = {Krawtchouk polynomials and the symmetrization of hypergroups},
JOURNAL = {SIAM J. Math. Anal.},
VOLUME = {5},
YEAR = {1974},
PAGES = {351--366},
MRCLASS = {33A65 (43A85)},
MRNUMBER = {49 \#10939},
MRREVIEWER = {R. A. Askey},
}
@book {MR49:8147,
author = { },
TITLE = {Proceedings of the 39th {S}ession of the {I}nternational
{S}tatistical {I}nstitute, {V}ienna, {A}ugust 20--30, 1973},
NOTE = {Vol. 4: Invited papers,
Bull. Inst. Internat. Statist. {\bf 45} (1973), no. 4},
PUBLISHER = {\"Osterreichisches Statistisches Zentralamt, Vienna},
YEAR = {1973},
PAGES = {1--401},
MRCLASS = {62-06},
MRNUMBER = {49 \#8147},
}
@article {MR49:1628,
AUTHOR = {Sibson, Robin},
TITLE = {Order invariant methods for data analysis},
NOTE = {With discussion by D. G. Kendall, J. C. Gower, G. J. S. Ross,
J. E. Doran, P. A. K. Covey-Crump, G. C. Wall, D. R. Cox, M.
J. Prentice, R. M. Cormack and Carl-Axel Moberg, and a reply
by Robin Sibson},
JOURNAL = {J. Roy. Statist. Soc. Ser. B},
VOLUME = {34},
YEAR = {1972},
PAGES = {311--349},
MRCLASS = {62-02 (62H30)},
MRNUMBER = {49 \#1628},
MRREVIEWER = {A. D. McLaren},
}
@book {MR48:5276,
AUTHOR = {Anderberg, Michael R.},
TITLE = {Cluster analysis for applications},
NOTE = {Probability and Mathematical Statistics, No. 19},
PUBLISHER = {Academic Press [A subsidiary of Harcourt Brace Jovanovich,
Publishers], New York-London},
YEAR = {1973},
PAGES = {xiii+359},
MRCLASS = {62H30 (68A45)},
MRNUMBER = {48 \#5276},
MRREVIEWER = {J. B. Kruskal, Jr.},
}
@article {MR47:10092,
AUTHOR = {ARABIE, P. and BOORMAN, S.A.},
TITLE = {Multidimensional scaling of measures of distance between
partitions},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {10},
YEAR = {1973},
PAGES = {148--203},
MRCLASS = {92A25},
MRNUMBER = {47 \#10092},
MRREVIEWER = {P. Suppes},
}
@article {MR47:9409,
AUTHOR = {Loveland, L. D. and Valentine, J. E.},
TITLE = {Congruent embedding of metric quadruples on a unit sphere},
JOURNAL = {J. Reine Angew. Math.},
VOLUME = {261},
YEAR = {1973},
PAGES = {205--209},
MRCLASS = {50C05},
MRNUMBER = {47 \#9409},
MRREVIEWER = {J. Bohm},
}
@article {MR47:2755,
AUTHOR = {Tucker, Ledyard R.},
TITLE = {Relations between multidimensional scaling and three-mode
factor analysis},
JOURNAL = {Psychometrika},
VOLUME = {37},
YEAR = {1972},
PAGES = {3--27},
MRCLASS = {62H25 (62P15 92A25)},
MRNUMBER = {47 \#2755},
MRREVIEWER = {C. Hayashi},
}
@article {MR46:10163,
AUTHOR = {Bechtel, Gordon G. and Tucker, Ledyard R. and Chang,
Wei-ching},
TITLE = {A scalar product model for the multidimensional scaling of
choice},
JOURNAL = {Psychometrika},
VOLUME = {36},
YEAR = {1971},
PAGES = {369--388},
MRCLASS = {62P15},
MRNUMBER = {46 \#10163},
MRREVIEWER = {M. Atiqullah},
}
@article {MR46:5053,
AUTHOR = {Erd{\H{o}}s, P. and Meir, A. and S{\'o}s, V. T. and Tur{\'a}n,
P.},
TITLE = {On some applications of graph theory. {I}},
JOURNAL = {Discrete Math.},
VOLUME = {2},
YEAR = {1972},
NUMBER = {3},
PAGES = {207--228},
MRCLASS = {94A20 (05C99)},
MRNUMBER = {46 \#5053},
MRREVIEWER = {F. Harary},
}
@article {MR45:2579,
AUTHOR = {Valentine, Joseph E.},
TITLE = {On criteria of {B}lumenthal for inner-product spaces},
JOURNAL = {Fund. Math.},
VOLUME = {72},
YEAR = {1971},
NUMBER = {3},
PAGES = {265--269},
MRCLASS = {52A50 (46C05 54E35)},
MRNUMBER = {45 \#2579},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR44:7438,
AUTHOR = {Valentine, Joseph E. and Wayment, Stanley G.},
TITLE = {Metric transforms and the hyperbolic four-point property},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {31},
YEAR = {1972},
PAGES = {232--234},
MRCLASS = {52.50},
MRNUMBER = {44 \#7438},
MRREVIEWER = {L. M. Kelly},
}
@article {MR43:1052,
AUTHOR = {Wayment, S. G.},
TITLE = {On congruence indices for simple closed curves},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {28},
YEAR = {1971},
PAGES = {199--207},
MRCLASS = {52.50},
MRNUMBER = {43 \#1052},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR42:3678,
AUTHOR = {BLUMENTHAL, L.M.},
TITLE = {Theory and applications of distance geometry},
EDITION = {Second},
PUBLISHER = {Chelsea Publishing Co.},
ADDRESS = {New York},
YEAR = {1970},
PAGES = {xi+347},
MRCLASS = {52.50},
MRNUMBER = {42 \#3678},
}
@incollection {MR40:8096,
AUTHOR = {Trillas Ruiz, E.},
TITLE = {On statistical metrics},
BOOKTITLE = {Proc. Eighth Annual Reunion of Spanish Mathematicians
(Santiago, 1967) (Spanish)},
PAGES = {143--155},
PUBLISHER = {Publ. Inst. ``Jorge Juan'' Mat., Madrid},
YEAR = {1969},
MRCLASS = {60.08},
MRNUMBER = {40 \#8096},
MRREVIEWER = {P. Holgate},
}
@article {MR40:7933,
AUTHOR = {Valentine, Joseph E.},
TITLE = {Hyperbolic spaces and quadratic forms},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {24},
YEAR = {1970},
PAGES = {607--610},
MRCLASS = {50.40},
MRNUMBER = {40 \#7933},
MRREVIEWER = {L. M. Blumenthal},
}
@article {sch35,
AUTHOR = {I.J. Schoenberg},
TITLE = {
Remarks to {M}aurice {F}r\'echet's article ``{S}ur la
d\'efinition axiomatique d'une classe d'espace distanci\'es
vectoriellement applicable sur l'espace de {H}ilbert''
},
JOURNAL = {Ann. Math.},
VOLUME = {36},
YEAR = {1935},
PAGES = {724--732},
}
@article {MR40:1895,
AUTHOR = {Schoenberg, I. J.},
TITLE = {Linkages and distance geometry. {I}{I}. {O}n sets of $n+2$
points in ${E}\sb{n}$ that are most nearly equilateral},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 72 = Indag. Math.},
VOLUME = {31},
YEAR = {1969},
PAGES = {53--63},
MRCLASS = {52.50 (50.00)},
MRNUMBER = {40 \#1895},
MRREVIEWER = {R. J. Bumcrot},
}
@article {MR39:7512,
AUTHOR = {Schoenberg, I. J.},
TITLE = {Linkages and distance geometry},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 72=Indag. Math.},
VOLUME = {31},
YEAR = {1969},
PAGES = {43--52},
MRCLASS = {52.50 (50.00)},
MRNUMBER = {39 \#7512},
MRREVIEWER = {R. J. Bumcrot},
}
@article {MR39:870,
AUTHOR = {Toranzos, Fausto Alfredo},
TITLE = {Immersion of convex metric spaces in ${E}\sp{n}$},
JOURNAL = {Math. Notae},
VOLUME = {21},
YEAR = {1966/1967},
PAGES = {29--53},
MRCLASS = {52.50},
MRNUMBER = {39 \#870},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR37:3452,
AUTHOR = {Freese, Raymond W.},
TITLE = {Criteria for inner product spaces},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {19},
YEAR = {1968},
PAGES = {953--958},
MRCLASS = {52.50},
MRNUMBER = {37 \#3452},
MRREVIEWER = {R. H. Cox},
}
@article {MR36:2046,
AUTHOR = {Perron, Oskar},
TITLE = {Lehrreiches {B}eispiel f\"ur die guten {D}ienste, die die
hyperbolische {G}eometrie ihrer {E}uklidischen {S}chwester
leisten kann},
JOURNAL = {Math. Ann.},
VOLUME = {174},
YEAR = {1967},
PAGES = {100--102},
MRCLASS = {50.40},
MRNUMBER = {36 \#2046},
MRREVIEWER = {L. M. Kelly},
}
@article {MR35:881,
AUTHOR = {Kirk, W. A.},
TITLE = {Congruence orders of complete and compact metric spaces},
JOURNAL = {Simon Stevin},
VOLUME = {40},
YEAR = {1966/1967},
PAGES = {3--6},
MRCLASS = {52.50 (50.00)},
MRNUMBER = {35 \#881},
MRREVIEWER = {G. J. Schellekens},
}
@article {MR35:880,
AUTHOR = {Huff, B. W. and Kirk, W. A.},
TITLE = {A note on equilateral metric triples},
JOURNAL = {Amer. Math. Monthly},
VOLUME = {74},
YEAR = {1967},
PAGES = {288--290},
MRCLASS = {52.50},
MRNUMBER = {35 \#880},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR34:6645,
AUTHOR = {Einhorn, S. J. and Schoenberg, I. J.},
TITLE = {On euclidean sets having only two distances between points.
{I}{I}},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 69=Indag. Math.},
VOLUME = {28},
YEAR = {1966},
PAGES = {489--504},
MRCLASS = {52.50},
MRNUMBER = {34 \#6645},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR34:685,
AUTHOR = {van Lint, J. H. and Seidel, J. J.},
TITLE = {Equilateral point sets in elliptic geometry},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 69=Indag. Math.},
VOLUME = {28},
YEAR = {1966},
PAGES = {335--348},
MRCLASS = {52.50},
MRNUMBER = {34 \#685},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR33:6490,
AUTHOR = {Freese, Raymond W. and Andalafte, Edward Z.},
TITLE = {A characterization of 2-betweenness in 2-metric spaces},
JOURNAL = {Canad. J. Math.},
VOLUME = {18},
YEAR = {1966},
PAGES = {963--968},
MRCLASS = {52.50 (50.48)},
MRNUMBER = {33 \#6490},
MRREVIEWER = {R. H. Rosen},
}
@incollection {MR31:1632,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {A report on coordinate-free differential geometry},
BOOKTITLE = {Col\'oquio Internacional de Geometr\'\i a Diferencial
(Santiago, 1963)},
PAGES = {33--43},
PUBLISHER = {Univ. Santiago, Santiago},
YEAR = {1964},
MRCLASS = {53.95},
MRNUMBER = {31 \#1632},
MRREVIEWER = {A. Kawaguchi},
}
@article {MR30:3555,
AUTHOR = {Shepard, Roger N.},
TITLE = {The analysis of proximities: multidimensional scaling with an
unknown distance function. {I}{I}},
JOURNAL = {Psychometrika},
VOLUME = {27},
YEAR = {1962},
PAGES = {219--246},
MRCLASS = {92.50},
MRNUMBER = {30 \#3555},
MRREVIEWER = {Hanan Rubin},
}
@article {MR29:6958,
AUTHOR = {Kruskal, J. B.},
TITLE = {Nonmetric multidimensional scaling: {A} numerical method},
JOURNAL = {Psychometrika},
VOLUME = {29},
YEAR = {1964},
PAGES = {115--129},
MRCLASS = {92.50 (62.99)},
MRNUMBER = {29 \#6958},
MRREVIEWER = {R. J. Aumann},
}
@article {MR29:6957,
AUTHOR = {Kruskal, J. B.},
TITLE = {Multidimensional scaling by optimizing goodness of fit to a
nonmetric hypothesis},
JOURNAL = {Psychometrika},
VOLUME = {29},
YEAR = {1964},
PAGES = {1--27},
MRCLASS = {92.50 (62.99)},
MRNUMBER = {29 \#6957},
MRREVIEWER = {R. J. Aumann},
}
@article {MR27:6241,
AUTHOR = {Blumenthal, Leonard M. and Freese, Raymond W.},
TITLE = {Local convexity in metric spaces},
JOURNAL = {Math. Notae},
VOLUME = {18},
YEAR = {1962},
PAGES = {15--22 (1962)},
MRCLASS = {52.50},
MRNUMBER = {27 \#6241},
MRREVIEWER = {L. A. Santal{\'o}},
}
@article {MR27:4698,
AUTHOR = {Gulliksen, Harold},
TITLE = {Linear and multidimensional scaling},
JOURNAL = {Psychometrika},
VOLUME = {26},
YEAR = {1961},
PAGES = {9--25},
MRCLASS = {92.50},
MRNUMBER = {27 \#4698},
MRREVIEWER = {P. Suppes},
}
@article {MR25:4019,
AUTHOR = {Silverman, Robert},
TITLE = {A metrization for power-sets with applications to
combinatorial analysis},
JOURNAL = {Canad. J. Math.},
VOLUME = {12},
YEAR = {1960},
PAGES = {158--176},
MRCLASS = {20.95},
MRNUMBER = {25 \#4019},
MRREVIEWER = {A. Sade},
}
@article {MR25:3798,
AUTHOR = {Shepard, Roger N.},
TITLE = {The analysis of proximities: multidimensional scaling with an
unknown distance function. {I}},
JOURNAL = {Psychometrika},
VOLUME = {27},
YEAR = {1962},
PAGES = {125--140},
MRCLASS = {92.50},
MRNUMBER = {25 \#3798},
MRREVIEWER = {Hanan Rubin},
}
@article {MR24:A1013,
AUTHOR = {Ewald, G{\"u}nter and Kelly, Leroy M.},
TITLE = {Tangents in real {B}anach spaces},
JOURNAL = {J. Reine Angew. Math.},
VOLUME = {203},
YEAR = {1960},
PAGES = {160--173},
MRCLASS = {46.45 (52.50)},
MRNUMBER = {24 \#A1013},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR23:A3481,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {A modern view of geometry},
NOTE = {A Series of Undergraduate Books in Mathematics},
PUBLISHER = {W. H. Freeman and Co.},
ADDRESS = {San Francisco},
YEAR = {1961},
PAGES = {xii+191},
MRCLASS = {50.00},
MRNUMBER = {23 \#A3481},
MRREVIEWER = {D. J. Struik},
}
@book {MR23:A1290,
AUTHOR = {Rinow, Willi},
TITLE = {Die innere {G}eometrie der metrischen {R}\"aume},
NOTE = {Die Grundlehren der mathematischen Wissenschaften, Bd. 105},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1961},
PAGES = {xv+520},
MRCLASS = {52.50},
MRNUMBER = {23 \#A1290},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR22:10779,
AUTHOR = {Meidav, Tsvi},
TITLE = {Nomograms to speed up seismic refraction computations},
JOURNAL = {Geophysics},
VOLUME = {25},
YEAR = {1960},
PAGES = {1035--1053},
MRCLASS = {86.00},
MRNUMBER = {22 \#10779},
}
@article {MR21:2210,
AUTHOR = {ABEL, W.R. and BLUMENTHAL, L.M.},
TITLE = {Distance geometry of metric arcs. {I}{I}},
JOURNAL = {Arch. Math.},
VOLUME = {8},
YEAR = {1957},
PAGES = {451--463},
MRCLASS = {52.00},
MRNUMBER = {21 \#2210},
MRREVIEWER = {L. A. Santal{\'o}},
}
@article {MR20:5462,
AUTHOR = {ABEL, W.R. and BLUMENTHAL, L.M.},
TITLE = {Distance geometry of metric arcs},
JOURNAL = {Amer. Math. Monthly},
VOLUME = {64},
YEAR = {1957},
NUMBER = {8, part II},
PAGES = {1--10},
MRCLASS = {52.00},
MRNUMBER = {20 \#5462},
MRREVIEWER = {L. A. Santal{\'o}},
}
@article {MR19:304g,
AUTHOR = {Nottrot, R.},
TITLE = {Note on a previous paper on torsion},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A. {\bf 60} = Indag. Math.},
VOLUME = {19},
YEAR = {1957},
PAGES = {159--161},
MRCLASS = {50.0X},
MRNUMBER = {19,304g},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR17:524i,
AUTHOR = {Haantjes, J. and Nottrot, R.},
TITLE = {Distance geometry. {D}irections in metric spaces. {T}orsion},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A. {\bf 58} = Indag. Math.},
VOLUME = {17},
YEAR = {1955},
PAGES = {405--410},
MRCLASS = {52.0X},
MRNUMBER = {17,524i},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR16:1139d,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {An extension of a theorem of {J}ordan and von {N}eumann},
JOURNAL = {Pacific J. Math.},
VOLUME = {5},
YEAR = {1955},
PAGES = {161--167},
MRCLASS = {56.0X},
MRNUMBER = {16,1139d},
MRREVIEWER = {M. M. Day},
}
@article {MR16:165g,
AUTHOR = {Pli{\'s}, A.},
TITLE = {Haantjes and {A}lt curvatures in abstract metric spaces},
JOURNAL = {Ann. Polon. Math.},
VOLUME = {1},
YEAR = {1954},
PAGES = {29--33},
MRCLASS = {53.0X},
MRNUMBER = {16,165g},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR15:340d,
AUTHOR = {Menger, Karl},
TITLE = {G\'eom\'etrie g\'en\'erale},
NOTE = {M\'emor. Sci. Math., no. 124},
PUBLISHER = {Gauthier-Villars},
ADDRESS = {Paris},
YEAR = {1954},
PAGES = {80+i},
MRCLASS = {48.0X},
MRNUMBER = {15,340d},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR15:57b,
AUTHOR = {Levi, F. W.},
TITLE = {Eine {E}rg\"anzung zum {H}ellyschen {S}atze},
JOURNAL = {Arch. Math.},
VOLUME = {4},
YEAR = {1953},
PAGES = {222--224},
MRCLASS = {52.0X},
MRNUMBER = {15,57b},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR14:1009a,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {Theory and applications of distance geometry},
PUBLISHER = {Oxford, at the Clarendon Press},
YEAR = {1953},
PAGES = {xi+347},
MRCLASS = {48.0X},
MRNUMBER = {14,1009a},
MRREVIEWER = {L. A. Santal{\'o}},
}
@article {MR14:889k,
AUTHOR = {TORGERSON, W.S.},
TITLE = {Multidimensional scaling. {I}. {T}heory and method},
JOURNAL = {Psychometrika},
VOLUME = {17},
YEAR = {1952},
PAGES = {401--419},
MRCLASS = {62.0X},
MRNUMBER = {14,889k},
MRREVIEWER = {H. P. Mulholland},
}
@article {MR14:576i,
AUTHOR = {Ellis, David},
TITLE = {Notes on abstract distance geometry. {I}{I}{I}. {O}n
self-congruences of metroids},
JOURNAL = {Simon Stevin},
VOLUME = {29},
YEAR = {1951/52},
PAGES = {92--95 (1952)},
MRCLASS = {48.0X},
MRNUMBER = {14,576i},
MRREVIEWER = {Chr. Pauc},
}
@article {MR14:576h,
AUTHOR = {Laman, G.},
TITLE = {Distance geometry and {B}oolean algebras},
JOURNAL = {Simon Stevin},
VOLUME = {29},
YEAR = {1951/52},
PAGES = {83--91 (1952)},
MRCLASS = {48.0X},
MRNUMBER = {14,576h},
MRREVIEWER = {Chr. Pauc},
}
@article {MR14:197c,
AUTHOR = {Ellis, David},
TITLE = {Correction to ``{N}otes on abstract distance geometry,
{I}{I}.''},
JOURNAL = {Monatsh. Math.},
VOLUME = {56},
YEAR = {1952},
PAGES = {180},
MRCLASS = {48.0X},
MRNUMBER = {14,197c},
}
@article {MR14:75f,
AUTHOR = {Seidel, J.},
TITLE = {Distance-geometric development of two-dimensional {E}uclidean,
hyperbolical and spherical geometry. {I}},
JOURNAL = {Simon Stevin},
VOLUME = {29},
YEAR = {1952},
PAGES = {32--50},
MRCLASS = {48.0X},
MRNUMBER = {14,75f},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR13:970d,
AUTHOR = {Ellis, David},
TITLE = {Notes on abstract distance geometry. {I}. {T}he algebraic
description of ground spaces},
JOURNAL = {T\^ohoku Math. J. (2)},
VOLUME = {3},
YEAR = {1951},
PAGES = {270--272},
MRCLASS = {48.0X},
MRNUMBER = {13,970d},
MRREVIEWER = {C. Y. Pauc},
}
@article {MR13:377a,
AUTHOR = {Ellis, David},
TITLE = {Notes on abstract distance geometry. {I}{I}. {I}mplications of
basality in generalized semimetric spaces},
JOURNAL = {Monatsh. Math.},
VOLUME = {55},
YEAR = {1951},
PAGES = {185--187},
MRCLASS = {48.0X},
MRNUMBER = {13,377a},
MRREVIEWER = {C. Y. Pauc},
}
@article {MR13:270b,
AUTHOR = {Ellis, David},
TITLE = {Geometry in abstract distance spaces},
JOURNAL = {Publ. Math. Debrecen},
VOLUME = {2},
YEAR = {1951},
PAGES = {1--25},
MRCLASS = {48.0X},
MRNUMBER = {13,270b},
MRREVIEWER = {C. Y. Pauc},
}
@book {MR12:273e,
AUTHOR = {Forder, H. G.},
TITLE = {Geometry},
PUBLISHER = {Hutchinson's University Library, London},
YEAR = {1950},
PAGES = {200},
MRCLASS = {48.0X},
MRNUMBER = {12,273e},
MRREVIEWER = {H. S. M. Coxeter},
}
@article {MR10:138f,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {Methods and problems of distance geometry},
JOURNAL = {Memorias de Matem\'atica del Instituto ``Jorge Juan,''},
VOLUME = {1948},
YEAR = {1948},
NUMBER = {5},
PAGES = {45},
MRCLASS = {48.0X},
MRNUMBER = {10,138f},
MRREVIEWER = {C. Y. Pauc},
}
@article {MR9:53g,
AUTHOR = {Haantjes, J.},
TITLE = {Distance geometry. {C}urvature in abstract metric spaces},
JOURNAL = {Nederl. Akad. Wetensch., Proc.},
VOLUME = {50},
YEAR = {1947},
PAGES = {496--508=Indagationes Math. {\bf 9, 302--314 (1947)}},
MRCLASS = {48.0X},
MRNUMBER = {9,53g},
MRREVIEWER = {C. Pauc},
}
@article {MR8:82c,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {Metric characterization of elliptic space},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {59},
YEAR = {1946},
PAGES = {381--400},
MRCLASS = {48.0X},
MRNUMBER = {8,82c},
MRREVIEWER = {C. Pauc},
}
@book {MR7:321g,
AUTHOR = {de Mira Fernandes, Aureliano},
TITLE = {Distance geometry, 3. {A}rc length},
NOTE = {Cadernos de An\'alise Geral, no. 18},
PUBLISHER = {Junta de Investiga\c c\~ao Matem\'atica, P\^orto},
YEAR = {1945},
PAGES = {18 pp. [paged 33--50]},
MRCLASS = {48.0X},
MRNUMBER = {7,321g},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR7:321f,
AUTHOR = {de Mira Fernandes, Aureliano},
TITLE = {Distance geometry, 2. {C}urvatures},
NOTE = {Cadernos de An\'alise Geral, no. 17},
PUBLISHER = {Junta de Investiga\c c\~ao Matem\'atica, P\^orto},
YEAR = {1945},
PAGES = {15 pp. [paged 17--31]},
MRCLASS = {48.0X},
MRNUMBER = {7,321f},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR7:24n,
AUTHOR = {de Mira Fernandes, Aureliano},
TITLE = {Distance geometry, 1. {G}eneralities---vector algebra},
NOTE = {Cadernos de An\'alise Geral, no. 13},
PUBLISHER = {Junta de Investiga\c c\~ao Matem\'atica, P\^orto},
YEAR = {1945},
PAGES = {16 },
MRCLASS = {48.0X},
MRNUMBER = {7,24n},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR6:183f,
AUTHOR = {Kelly, L. M.},
TITLE = {Covering problems},
JOURNAL = {Nat. Math. Mag.},
VOLUME = {19},
YEAR = {1944},
PAGES = {123--130},
MRCLASS = {48.0X},
MRNUMBER = {6,183f},
MRREVIEWER = {C. B. Allendoerfer},
}
@article {MR6:98a,
AUTHOR = {Menger, Karl},
TITLE = {Projective generalizations of metric geometry. {I}, {I}{I}},
JOURNAL = {Rep. Math. Colloquium (2)},
VOLUME = {5--6},
YEAR = {1944},
PAGES = {60--75},
MRCLASS = {48.0X},
MRNUMBER = {6,98a},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR5:214f,
AUTHOR = {Blumenthal, L. M.},
TITLE = {Distance geometry notes},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {50},
YEAR = {1944},
PAGES = {235--241},
MRCLASS = {48.0X},
MRNUMBER = {5,214f},
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%%%%%HAVEL papers start
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AUTHOR = {NAJFELD, I. and HAVEL, T.F.},
TITLE = {Embedding with a rigid substructure},
JOURNAL = {J. Math. Chem.},
FJOURNAL = {Journal of Mathematical Chemistry},
VOLUME = {21},
YEAR = {1997},
NUMBER = {3},
PAGES = {223--260},
ISSN = {0259-9791},
CODEN = {JMCHEG},
MRCLASS = {92E10 (81V45)},
MRNUMBER = {MR1630296 (99j:92029)},
MRREVIEWER = {T. W. Barrett},
}
@article {MR1249800,
AUTHOR = {DRESS, A.W.M. and HAVEL, T.F.},
TITLE = {Distance geometry and geometric algebra},
JOURNAL = {Found. Phys.},
FJOURNAL = {Foundations of Physics. An International Journal Devoted
to
the Conceptual Bases and Fundamental Theories of Modern
Physics, Biophysics, and Cosmology},
VOLUME = {23},
YEAR = {1993},
NUMBER = {10},
PAGES = {1357--1374},
ISSN = {0015-9018},
CODEN = {FNDPA4},
MRCLASS = {51K05 (15A66 53A50)},
MRNUMBER = {MR1249800 (94j:51022)},
MRREVIEWER = {Dominique Lambert},
}
@article {MR1122640,
AUTHOR = {HAVEL, T.F.},
TITLE = {Some examples of the use of distances as coordinates for
{E}uclidean geometry},
NOTE = {Invariant-theoretic algorithms in geometry (Minneapolis,
MN,
1987)},
JOURNAL = {J. Symbolic Comput.},
FJOURNAL = {Journal of Symbolic Computation},
VOLUME = {11},
YEAR = {1991},
NUMBER = {5-6},
PAGES = {579--593},
ISSN = {0747-7171},
MRCLASS = {51N20 (03B35 68Q40 68U05 70B15)},
MRNUMBER = {MR1122640 (92j:51033)},
MRREVIEWER = {G. E. Peterson},
}
@book {MR975025,
AUTHOR = {Crippen, G.M. and Havel, T.F.},
TITLE = {Distance geometry and molecular conformation},
SERIES = {Chemometrics Series},
VOLUME = {15},
PUBLISHER = {Research Studies Press Ltd.},
ADDRESS = {Chichester},
YEAR = {1988},
PAGES = {x+541},
ISBN = {0-86380-073-4},
MRCLASS = {92A40 (51K05 81G55)},
MRNUMBER = {MR975025 (90a:92082)},
MRREVIEWER = {N. Trinajsti{\'c}},
}
@article {MR936207,
AUTHOR = {Dress, A.W.M. and Havel, T.F.},
TITLE = {Shortest-path problems and molecular conformation},
NOTE = {Applications of graphs in chemistry and physics},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {19},
YEAR = {1988},
NUMBER = {1-3},
PAGES = {129--144},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {92A40 (90B10)},
MRNUMBER = {MR936207 (89e:92063)},
MRREVIEWER = {G. W. Peck},
}
@article {MR783122,
AUTHOR = {Havel, T.F. and Kuntz, I.D. and Crippen, B.},
TITLE = {Errata: ``{T}he theory and practice of distance geometry''
[{B}ull. {M}ath. {B}iol. {\bf 45} (1983), no. 5, 665--720;
{MR}0718540 (84k:92037)]},
JOURNAL = {Bull. Math. Biol.},
FJOURNAL = {Bulletin of Mathematical Biology},
VOLUME = {47},
YEAR = {1985},
NUMBER = {1},
PAGES = {157},
ISSN = {0092-8240},
CODEN = {BMBTAP},
MRCLASS = {92A90},
MRNUMBER = {MR783122 (86e:92045)},
}
@article {MR718540,
AUTHOR = {HAVEL, T.F. and KUNTZ, I.D. and CRIPPEN, G.M.},
TITLE = {The theory and practice of distance geometry},
JOURNAL = {Bull. Math. Biol.},
FJOURNAL = {Bulletin of Mathematical Biology},
VOLUME = {45},
YEAR = {1983},
NUMBER = {5},
PAGES = {665--720},
ISSN = {0092-8240},
CODEN = {BMBTAP},
MRCLASS = {92A90 (51K99 52A99)},
MRNUMBER = {MR718540 (84k:92037)},
MRREVIEWER = {J. E. Valentine},
}
%%%%%HAVEL papers end
@book {MR1747519,
AUTHOR = {Grassmann, H.},
TITLE = {Extension theory},
SERIES = {History of Mathematics},
VOLUME = {19},
NOTE = {Translated from the 1896 German original and with a
foreword,
editorial notes and supplementary notes by Lloyd C.
Kannenberg},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2000},
PAGES = {xviii+411},
ISBN = {0-8218-2031-1},
MRCLASS = {01A75 (01A55)},
MRNUMBER = {MR1747519 (2001d:01048)},
MRREVIEWER = {I. Dolgachev},
}
@article {MR2416574,
AUTHOR = {Dattorro, J.},
TITLE = {Equality relating {E}uclidean distance cone to positive
semidefinite cone},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {428},
YEAR = {2008},
NUMBER = {11-12},
PAGES = {2597--2600},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48 90C25)},
MRNUMBER = {MR2416574},
}
@book {dattorro:05,
AUTHOR = {Dattorro, J.},
TITLE = {Convex Optimization \& {E}uclidean Distance Geometry},
PUBLISHER = {Meboo Publishing},
ADDRESS = {USA},
YEAR = {2005},
urldate = {2015-Meboo Publishing},
PAGES = {697},
howpublished =
{\url{https://ccrma.stanford.edu/~dattorro/mybook.html}},
ISBN = {0-9764013-0-4},
}
@misc {dattorroonline:05,
AUTHOR = {Dattorro, J.},
TITLE = {Convex Optimization \& {E}uclidean Distance Geometry},
PUBLISHER = {Meboo Publishing},
ADDRESS = {USA},
YEAR = {2005},
urldate = {2015-Meboo Publishing},
PAGES = {697},
howpublished =
{\url{https://ccrma.stanford.edu/~dattorro/mybook.html}, Meboo
Publishing},
ISBN = {0-9764013-0-4},
}
%%%%%%%%%%%%%%%%%%%%%
@article {MR2132499,
AUTHOR = {Brualdi, R.A.},
TITLE = {From the editor-in-chief. {E}rrata to: ``{O}n the uniqueness
of {E}uclidean distance matrix completions'' [{L}inear
{A}lgebra {A}ppl. {\bf 370} (2003), 1--14; MR1993516] by {A}.
{Y}. {A}lfakih},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {400},
YEAR = {2005},
PAGES = {354},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A45 52A05 52B35)},
MRNUMBER = {MR2132499 (2005k:51020)},
}
@article {MR2116463,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the uniqueness of {E}uclidean distance matrix completions:
the case of points in general position},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {397},
YEAR = {2005},
PAGES = {265--277},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A99 52B35 90C22)},
MRNUMBER = {MR2116463 (2005i:51011)},
}
@article {MR1993516,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the uniqueness of {E}uclidean distance matrix completions},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {370},
YEAR = {2003},
PAGES = {1--14},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A45 52A05 52B35)},
MRNUMBER = {MR1993516 (2004f:51034)},
}
@article {MR1969424,
AUTHOR = {Huang, H-X. and Liang, Z-A. and Pardalos, P.M.},
TITLE = {Some properties for the {E}uclidean distance matrix and
positive semidefinite matrix completion problems},
NOTE = {Dedicated to Professor J. B. Rosen on his 80th birthday},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {25},
YEAR = {2003},
NUMBER = {1},
PAGES = {3--21},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C22 (90C60)},
MRNUMBER = {MR1969424 (2004b:90081)},
MRREVIEWER = {Franz Rendl},
}
@article {MR1801668,
AUTHOR = {Laurent, M.},
TITLE = {Polynomial instances of the positive semidefinite and
{E}uclidean distance matrix completion problems},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {22},
YEAR = {2000},
NUMBER = {3},
PAGES = {874--894 (electronic)},
ISSN = {0895-4798},
MRCLASS = {15A48 (05C50 90C35)},
MRNUMBER = {MR1801668 (2001i:15025)},
MRREVIEWER = {Shu An Hu},
}
@article {MR1791595,
AUTHOR = {TROSSET, M.W.},
TITLE = {Distance matrix completion by numerical optimization},
JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {17},
YEAR = {2000},
NUMBER = {1},
PAGES = {11--22},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {65K10 (90C20)},
MRNUMBER = {MR1791595 (2001k:65105)},
}
@article {MR1644479,
AUTHOR = {BARRETT, W.W. and Johnson, C.R. and LOEWY, R.},
TITLE = {Critical graphs for the positive definite completion problem},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {20},
YEAR = {1999},
NUMBER = {1},
PAGES = {117--130 (electronic)},
ISSN = {0895-4798},
MRCLASS = {15A48 (05C50)},
MRNUMBER = {MR1644479 (99i:15029)},
MRREVIEWER = {Shu An Hu},
}
@incollection {MR1607310,
AUTHOR = {Laurent, M.},
TITLE = {A tour d'horizon on positive semidefinite and {E}uclidean
distance matrix completion problems},
BOOKTITLE = {Topics in semidefinite and interior-point methods ({T}oronto,
{ON}, 1996)},
SERIES = {Fields Inst. Commun.},
VOLUME = {18},
PAGES = {51--76},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1998},
MRCLASS = {05C50 (15A48 15A57 52B12 90C27)},
MRNUMBER = {MR1607310 (99c:05135)},
MRREVIEWER = {Hugo Jan Woerdeman},
}
@article {MR1491595,
AUTHOR = {Laurent, M.},
TITLE = {A connection between positive semidefinite and {E}uclidean
distance matrix completion problems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {273},
YEAR = {1998},
PAGES = {9--22},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {MR1491595 (98m:15039)},
MRREVIEWER = {Shu An Hu},
}
@article {MR1374483,
AUTHOR = {Johnson, C.R. and JONES, C.A. and KROSCHEL,
B.K.},
TITLE = {The {E}uclidean distance completion problem: cycle
completability},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {39},
YEAR = {1995},
NUMBER = {1-2},
PAGES = {195--207},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {05C50 (05B20 05C38)},
MRNUMBER = {MR1374483 (96m:05137)},
MRREVIEWER = {Ke Min Zhang},
}
@article {MR1321802,
AUTHOR = {Bakonyi, M. and Johnson, C.R.},
TITLE = {The {E}uclidean distance matrix completion problem},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {16},
YEAR = {1995},
NUMBER = {2},
PAGES = {646--654},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A57 (05C50)},
MRNUMBER = {MR1321802 (96a:15025)},
MRREVIEWER = {K. Chandrasekhara Rao},
}
-------------------------------------------start Alfakih papers dec/08
@article {MR2382104,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the dual rigidity matrix},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {428},
YEAR = {2008},
NUMBER = {4},
PAGES = {962--972},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {52C25 (05C50 15A57)},
MRNUMBER = {MR2382104 (2008m:52046)},
}
@article {MR2363550,
AUTHOR = {Alfakih, A.Y. and Wolkowicz, H.},
TITLE = {Some necessary and some sufficient trace inequalities for
{E}uclidean distance matrices},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {55},
YEAR = {2007},
NUMBER = {5},
PAGES = {499--506},
ISSN = {0308-1087},
MRCLASS = {15A45 (15A57)},
MRNUMBER = {MR2363550 (2009a:15069)},
MRREVIEWER = {K. Veseli{\'c}},
}
@article {MR2332317,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On dimensional rigidity of bar-and-joint frameworks},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {155},
YEAR = {2007},
NUMBER = {10},
PAGES = {1244--1253},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {52C25 (05C50 74C20 90C22)},
MRNUMBER = {MR2332317 (2008b:52033)},
}
@article {MR2242734,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the nullspace, the rangespace and the characteristic
polynomial of {E}uclidean distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {416},
YEAR = {2006},
NUMBER = {2-3},
PAGES = {348--354},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57 (51K05 52B35)},
MRNUMBER = {MR2242734 (2007f:15018)},
MRREVIEWER = {Hans Havlicek},
}
@article {MR1869424,
AUTHOR = {Alfakih, A.Y. and Wolkowicz, H.},
TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale
transform},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {340},
YEAR = {2002},
PAGES = {149--154},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48 52B35)},
MRNUMBER = {MR1869424 (2002i:51010)},
}
@article {MR1810094,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On rigidity and realizability of weighted graphs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {325},
YEAR = {2001},
NUMBER = {1-3},
PAGES = {57--70},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57 52A20)},
MRNUMBER = {MR1810094 (2002a:05170)},
MRREVIEWER = {Tiong Seng Tay},
}
@incollection {MR1778240,
AUTHOR = {Alfakih, A.Y. and Wolkowicz, H.},
TITLE = {Matrix completion problems},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {533--545},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (65F30)},
MRNUMBER = {MR1778240},
}
@article {MR1753174,
AUTHOR = {Alfakih, A.Y.},
TITLE = {Graph rigidity via {E}uclidean distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {310},
YEAR = {2000},
NUMBER = {1-3},
PAGES = {149--165},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (52C25 94C15)},
MRNUMBER = {MR1753174 (2001b:05137)},
MRREVIEWER = {J. E. Graver},
}
@article {MR1650463,
AUTHOR = {Alfakih, A.Y. and MURTY, K.G.},
TITLE = {Adjacency on the constrained assignment problem},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {87},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {269--274},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C27 (90C10)},
MRNUMBER = {MR1650463 (99g:90092)},
}
%%-------------------------------------------end Alfakih papers dec/08
@ARTICLE{AEGMWYAB:06,
author = {J. Aspnes and T. Eren and
D.K. Goldenberg and A.S. Morse and
W. Whiteley and Y.R. Yang and
B.D.O. Anderson and P.N. Belhumeur},
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JOURNAL = "IEEE Transactions on Automation Science and Engineering",
YEAR = "2006",
volume = "3",
number = "4",
pages = "360--371",
month = "October",
}
@techreport{FrascaMasonPiccoli:09,
AUTHOR = {P. FRASCA and P. MASON and B. PICCOLI},
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networks},
YEAR = {2009},
institution = {Universita di Salermo},
note= {http://arxiv.org/abs/0902.2446v1},
address = {Italy}}
@article {MR2457932,
AUTHOR = {Dos Santos Carvalho, R. and Lavor, C. and
Protti, F.},
TITLE = {Extending the geometric build-up algorithm for the
molecular
distance geometry problem},
JOURNAL = {Inform. Process. Lett.},
FJOURNAL = {Information Processing Letters},
VOLUME = {108},
YEAR = {2008},
NUMBER = {4},
PAGES = {234--237},
ISSN = {0020-0190},
CODEN = {IFPLAT},
MRCLASS = {92C40 (92D20)},
MRNUMBER = {MR2457932},
}
@article{surv,
Author = {Liberti, L. and Lavor, C. and Maculan, N. and
Mucherino, A.},
Date-Added = {2014-08-09 13:03:01 -0400},
Date-Modified = {2014-08-09 13:03:08 -0400},
Doi = {10.1137/120875909},
Eprint = {http://dx.doi.org/10.1137/120875909},
Journal = {SIAM Review},
Number = {1},
Pages = {3-69},
Title = {Euclidean Distance Geometry and Applications},
Url = {http://dx.doi.org/10.1137/120875909},
Volume = {56},
Year = {2014},
Bdsk-Url-1 = {http://dx.doi.org/10.1137/120875909}}
@ARTICLE{2016arXiv161000652L,
author = {{Liberti}, L. and {Lavor}, C.},
title = "{Open research areas in distance geometry}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1610.00652},
primaryClass = "math.MG",
keywords = {Mathematics - Metric Geometry, Computer Science -
Computational Geometry, Mathematics - Optimization and Control, 51K99,
I.3.5},
year = 2016,
month = oct,
adsurl = {http://adsabs.harvard.edu/abs/2016arXiv161000652L},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@incollection {MR2206961,
AUTHOR = {Lavor, C.},
TITLE = {On generating instances for the molecular distance
geometry problem},
BOOKTITLE = {Global optimization},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {84},
PAGES = {405--414},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2006},
MRCLASS = {92C40 (65D18 90C90)},
MRNUMBER = {MR2206961 (2006i:92018)},
}
@article {MR1977953,
AUTHOR = {Dong, Q. and Wu, Z.},
TITLE = {A geometric build-up algorithm for solving the molecular
distance geometry problem with sparse distance data},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {26},
YEAR = {2003},
NUMBER = {3},
PAGES = {321--333},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92E10},
MRNUMBER = {MR1977953 (2004b:92046)},
}
@article {MR2302995,
AUTHOR = {WU, D. and WU, Z.},
TITLE = {An updated geometric build-up algorithm for solving the
molecular distance geometry problems with sparse distance
data},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {37},
YEAR = {2007},
NUMBER = {4},
PAGES = {661--673},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92C40 (90C90 92D10)},
MRNUMBER = {MR2302995},
}
@article {MR1878150,
AUTHOR = {Dong, Q. and Wu, Z.},
TITLE = {A linear-time algorithm for solving the molecular distance
geometry problem with exact inter-atomic distances},
NOTE = {Dedicated to Professor Reiner Horst on his 60th birthday},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {22},
YEAR = {2002},
NUMBER = {1-4},
PAGES = {365--375},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C90 (92E10)},
MRNUMBER = {MR1878150},
}
@article {MR1879612,
AUTHOR = {Yajima, Yasutoshi},
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problems},
JOURNAL = {Japan J. Indust. Appl. Math.},
FJOURNAL = {Japan Journal of Industrial and Applied Mathematics},
VOLUME = {19},
YEAR = {2002},
NUMBER = {1},
PAGES = {87--112},
ISSN = {0916-7005},
MRCLASS = {92C40 (90C90)},
MRNUMBER = {MR1879612 (2002k:92012)},
}
@incollection {MR1763275,
AUTHOR = {Tuy, Hoang},
TITLE = {Global optimization methods for location and distance
geometry
problems},
BOOKTITLE = {Progress in optimization ({P}erth, 1998)},
SERIES = {Appl. Optim.},
VOLUME = {39},
PAGES = {3--20},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C26 (65D18 90B85)},
MRNUMBER = {MR1763275 (2001h:90060)},
MRREVIEWER = {James G. Morris},
}
@incollection {MR1758031,
AUTHOR = {An, L.T.H. and Tao, P.D.},
TITLE = {Large scale molecular conformation via the exact distance
geometry problem},
BOOKTITLE = {Optimization ({N}amur, 1998)},
SERIES = {Lecture Notes in Econom. and Math. Systems},
VOLUME = {481},
PAGES = {260--277},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2000},
MRCLASS = {90C59 (65Y10)},
MRNUMBER = {MR1758031 (2001d:90139)},
MRREVIEWER = {N. Trinajsti{\'c}},
}
###################################start Miguel refs for survey paper/09
################################### ##################################
################################### ##################################
@article{Anderson1971,
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@phdthesis{Hendrickson1990,
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################################### ##################################
###################################end Miguel refs for survey paper/09
######################### theses and related papers ####################
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------------------------------------------------------------------------
------------------------------------------------------------------------
© Copyright
2003,
American Mathematical Society American
[American Mathematical Society]201 Charles Street Mathematical
Providence, RI 02904-6248 USA Society
Privacy
Statement
.biblio.bib0000600001023000004570000022457512346654603012452 0ustar hwolkowinone%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Nathan at 2008-06-06 03:00:29 -0400
%% Saved with string encoding Unicode (UTF-8)
@techreport{BoHi:08,
Address = inst-MIMS:adr,
Author = {R{\"u}diger Borsdorf and N.J. Higham},
Bibdate = {Mon Apr 21 12:15:54 GMT 2008},
Date-Added = {2008-06-06 02:47:20 -0400},
Date-Modified = {2008-06-06 02:56:39 -0400},
Institution = inst-MIMS,
Keywords = {SDLS},
Month = apr,
Number = {2008.50},
Pages = 13,
Title = {A Preconditioned {Newton} Algorithm for the Nearest Correlation Matrix},
Type = t-MIMS-EPrint,
Year = {2008},
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@misc{Hi:88a,
Abstract = {The nearest symmetric positive semidefinite matrix in the Frobenius norm to an arbitrary real matrix A is shown to be (B + H)/2, where H is the symmetric polar factor of B=(A + AT)/2. In the 2-norm a nearest symmetric positive semidefinite matrix, and its distance Î´2(A) from A, are given by a computationally challenging formula due to Halmos. We show how the bisection method can be applied to this formula to compute upper and lower bounds for Î´2(A) differing by no more than a given amount. A key ingredient is a stable and efficient test for positive definiteness, based on an attempted Choleski decomposition. For accurate computation of Î´2(A) we formulate the problem as one of zero finding and apply a hybrid Newton-bisection algorithm. Some numerical difficulties are discussed and illustrated by example.},
Author = {Higham, N.J.},
Date = {1988},
Date-Added = {2008-06-06 02:21:22 -0400},
Date-Modified = {2008-06-06 02:24:15 -0400},
Date1 = {May, 1988 %@ 00243795},
Journal = {Linear Algebra and its Applications},
Keywords = {SDLS},
Pages = {103-118},
Publisher = {Elsevier Science},
Title = {Computing a nearest symmetric positive semidefinite matrix},
Volume = {103},
W = {/cgi-bin/sciserv.pl?collection=journals&journal=00243795&issue=v103inone&article=103_canspsm},
Year = {1988},
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@article{Ma:04,
Author = {J\'{e}r\^{o}me Malick},
Date-Added = {2008-06-06 02:16:53 -0400},
Date-Modified = {2008-06-06 02:21:16 -0400},
Doi = {10.1137/S0895479802413856},
Journal = {SIAM Journal on Matrix Analysis and Applications},
Keywords = {SDLS,Lagrangian duality; semidefinite optimization; calibration of covariance matrices},
Number = {1},
Pages = {272-284},
Publisher = {SIAM},
Title = {A Dual Approach to Semidefinite Least-Squares Problems},
Url = {http://link.aip.org/link/?SML/26/272/1},
Volume = {26},
Year = {2004},
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@article{PiGr:04,
Author = {Pietersz,Raoul and Groenen,Patrick J. F.},
Cites = {Hi:02},
Date = {2004},
Date-Added = {2008-06-06 02:08:20 -0400},
Date-Modified = {2008-06-06 02:11:34 -0400},
Journal = {Quantitative Finance},
Keywords = {correlation matrix},
Number = {6},
Pages = {649 - 662},
Publisher = {Routledge},
Title = {Rank reduction of correlation matrices by majorization},
Url = {http://www.informaworld.com.proxy.lib.uwaterloo.ca/10.1080/14697680400016182 %@ 1469-7688 %[ June 06, 2008},
Volume = {4},
Year = {2004},
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@article{BoXi:05,
Author = {Stephen Boyd and Lin Xiao},
Date-Added = {2008-06-06 01:54:14 -0400},
Date-Modified = {2008-06-06 02:12:33 -0400},
Doi = {10.1137/040609902},
Journal = {SIAM Journal on Matrix Analysis and Applications},
Keywords = {SDLS; correlation matrix; matrix nearness problems; covariance matrix; least-squares; semidefinite least-squares},
Number = {2},
Pages = {532-546},
Publisher = {SIAM},
Title = {Least-Squares Covariance Matrix Adjustment},
Url = {http://link.aip.org/link/?SML/27/532/1},
Volume = {27},
Year = {2005},
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Bdsk-Url-1 = {http://link.aip.org/link/?SML/27/532/1},
Bdsk-Url-2 = {http://dx.doi.org/10.1137/040609902}}
@misc{Ce:06,
Abstract = {This is an experimental computational account of projection algorithms for the linear best approximation problem. We focus on the sequential and simultaneous versions of Dykstra's algorithm and the Halpern-Lions-Wittmann-Bauschke algorithm for the best approximation problem from a point to the intersection of closed convex sets in the Euclidean space. These algorithms employ different iterative approaches to reach the same goal but no mathematical connection has yet been found between their algorithmic schemes. We compare these algorithms on linear best approximation test problems that we generate so that the solution will be known a priori and enable us to assess the relative computational merits of these algorithms. For the simultaneous versions we present a new component-averaging variant that substantially accelerates their initial behavior for sparse systems.},
Author = {Censor, Y.},
Date = {2006},
Date-Added = {2008-06-06 01:51:01 -0400},
Date-Modified = {2008-06-06 01:51:01 -0400},
Date1 = {July 1, 2006 %@ 00243795},
Journal = {Linear Algebra and Its Applications},
Keywords = {Linear best approximation; Sequential projection algorithms; Simultaneous projection algorithms; Computational acceleration},
Number = {1},
Pages = {111-123},
Publisher = {Elsevier Science},
Title = {Computational acceleration of projection algorithms for the linear best approximation problem},
Volume = {416},
W = {/cgi-bin/sciserv.pl?collection=journals&journal=00243795&issue=v416i0001&article=111_caopaftlbap},
Year = {2006},
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@article{DhTr:07,
Author = {Inderjit S. Dhillon and Joel A. Tropp},
Date-Added = {2008-06-06 01:42:34 -0400},
Date-Modified = {2008-06-06 01:42:37 -0400},
Doi = {10.1137/060649021},
Journal = {SIAM Journal on Matrix Analysis and Applications},
Keywords = {matrix nearness problems; Bregman divergences; squared Euclidean distance; relative entropy; alternating projections},
Number = {4},
Pages = {1120-1146},
Publisher = {SIAM},
Title = {Matrix Nearness Problems with Bregman Divergences},
Url = {http://link.aip.org/link/?SML/29/1120/1},
Volume = {29},
Year = {2007},
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Bdsk-Url-1 = {http://dx.doi.org/10.1137/060649021}}
@article{Hi:88,
Abstract = {The following ``symmetric Procrustes''problem arises in the determination of the strain matrix of an elastic structure: find the symmetric matrixX which minimises the Frobenius (or Euclidean) norm ofAX ---B, whereA andB are given rectangular matrices. We use the singular value decomposition to analyse the problem and to derive a stable method for its solution. A perturbation result is derived and used to assess the stability of methods based on solving normal equations. Some comparisons with the standard, unconstrained least squares problem are given.},
Author = {Higham, N.J. },
Date-Added = {2008-06-06 01:33:13 -0400},
Date-Modified = {2008-06-06 02:24:01 -0400},
Journal = {BIT Numerical Mathematics},
Keywords = {SDLS, Procrustes problem; semidefinite matrices},
M3 = {10.1007/BF01934701},
Number = {1},
Pages = {133--143},
Title = {The symmetric {P}rocrustes problem},
Ty = {JOUR},
Url = {http://dx.doi.org/10.1007/BF01934701},
Volume = {28},
Year = {1988},
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Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01934701}}
@misc{KiHa:07,
Abstract = {This note outlines an algorithm for solving the complex `matrix Procrustes problem'. This is a least‐squares approximation over the cone of positive semi‐definite Hermitian matrices, which has a number of applications in the areas of Optimization, Signal Processing and Control. The work generalizes the method of Allwright (SIAM J. Control Optim. 1988; 26(3):537--556), who obtained a numerical solution to the real‐valued version of the problem. It is shown that, subject to an appropriate rank assumption, the complex problem can be formulated in a real setting using a matrix‐dilation technique, for which the method of Allwright is applicable. However, this transformation results in an over‐parametrization of the problem and, therefore, convergence to the optimal solution is slow. Here, an alternative algorithm is developed for solving the complex problem, which exploits fully the special structure of the dilated matrix. The advantages of the modified algorithm are demonstrated via a numerical example. Copyright {\copyright} 2007 John Wiley & Sons, Ltd.},
Author = {Kiskiras, J. and Halikias, G. D.},
Date = {2007},
Date-Added = {2008-06-06 01:22:57 -0400},
Date-Modified = {2008-06-06 01:40:28 -0400},
Date1 = {August 2007 %@ 10705325},
Journal = {Numerical Linear Algebra with Applications},
Keywords = {Procrustes problem; semidefinite matrices; least-squares; SDLS},
Number = {6},
Pages = {485 - 502},
Publisher = {John Wiley & Sons, Ltd.},
Title = {A note on the complex semi-definite matrix Procrustes problem},
Volume = {14},
W = {/cgi-bin/sciserv.pl?collection=journals&journal=10705325&issue=v14i0006&article=485_anotcsmpp},
Year = {2007},
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@article{Hi:02,
Author = {Higham, N.J.},
Coden = {IJNADN},
Date-Added = {2008-06-06 01:05:06 -0400},
Date-Modified = {2008-06-06 01:12:28 -0400},
Fjournal = {IMA Journal of Numerical Analysis},
Issn = {0272-4979},
Journal = {IMA J. Numer. Anal.},
Keywords = {correlation matrix, alternating projections method, SDP, SDLS, QSDP},
Mrclass = {65F30 (91B02)},
Mrnumber = {MR1918653 (2003d:65037)},
Number = {3},
Pages = {329--343},
Title = {Computing the nearest correlation matrix---a problem from finance},
Volume = {22},
Year = {2002},
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@article{To:08,
Author = {Toh, Kim-Chuan},
Cites = {KrLaVaPaSe:04},
Date-Added = {2008-06-06 00:06:27 -0400},
Date-Modified = {2008-06-06 00:38:39 -0400},
Fjournal = {Mathematical Programming. A Publication of the Mathematical Programming Society},
Issn = {0025-5610},
Journal = {Math. Program.},
Keywords = {QSDP, SDLS, inexact search direction, Krylov iterative method},
Mrclass = {90C22 (90C25)},
Mrnumber = {MR2327007},
Number = {1, Ser. B},
Pages = {221--254},
Title = {An inexact primal-dual path following algorithm for convex quadratic {SDP}},
Volume = {112},
Year = {2008},
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@article{NiYu:01,
Author = {Nie, Jia-Wang and Yuan, Ya-Xiang},
Date-Added = {2008-06-05 23:53:18 -0400},
Date-Modified = {2008-06-06 00:03:11 -0400},
Fjournal = {Annals of Operations Research},
Issn = {0254-5330},
Journal = {Ann. Oper. Res.},
Keywords = {QSDP, potential reduction method, predictor corrector method},
Mrclass = {90C22 (90C51)},
Mrnumber = {MR1868446 (2002k:90075)},
Mrreviewer = {Ji-Ming Peng},
Note = {Optimization and numerical algebra (Nanjing, 1999)},
Pages = {115--133},
Title = {A predictor-corrector algorithm for {QSDP} combining {D}ikin-type and {N}ewton centering steps},
Volume = {103},
Year = {2001},
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@article{NiYu:00,
Author = {Nie, Jiawang and Yuan, Yaxiang},
Date-Added = {2008-06-05 23:40:15 -0400},
Date-Modified = {2008-06-05 23:43:51 -0400},
Fjournal = {Science in China. Series A. Mathematics},
Issn = {1006-9283},
Journal = {Sci. China Ser. A},
Keywords = {QSDP, potential reduction method, convergence},
Mrclass = {90C22},
Mrnumber = {MR1766240 (2001a:90038)},
Number = {1},
Pages = {35--46},
Title = {A potential reduction algorithm for an extended {SDP} problem},
Volume = {43},
Year = {2000},
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@article{Ja:00,
Author = {Jarre, Florian},
Date-Added = {2008-06-03 10:37:18 -0400},
Date-Modified = {2008-06-06 01:41:52 -0400},
Fjournal = {Optimization and Engineering},
Issn = {1389-4420},
Journal = {Optim. Eng.},
Keywords = {nonlinear SDP, nonlinear optimization, predictor corrector method, trust region method},
Mrclass = {90C51 (90C22 90C26)},
Mrnumber = {MR1917326 (2003f:90110)},
Mrreviewer = {Shu Zhong Zhang},
Number = {4},
Pages = {347--372},
Title = {An interior method for nonconvex semidefinite programs},
Volume = {1},
Year = {2000},
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@article{St:07,
Author = {Michael L. Stein},
Cites = {KrLaVaPaSe:04,Hu:95},
Date-Added = {2008-06-02 18:18:56 -0400},
Date-Modified = {2008-06-06 00:11:29 -0400},
Journal = {Ann. Appl. Stat.},
Keywords = {SDLS},
Number = {1},
Pages = {191--210},
Title = {Spatial variation of total column ozone on a global scale},
Volume = {1},
Year = {2007},
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@article{Hu:95,
Author = {Hu, H.},
Cited-By = {St:07,Kr:03},
Coden = {LAAPAW},
Date-Added = {2008-06-02 17:42:01 -0400},
Date-Modified = {2008-06-06 00:11:29 -0400},
Fjournal = {Linear Algebra and its Applications},
Issn = {0024-3795},
Journal = {Linear Algebra Appl.},
Keywords = {SDP, SDLS},
Mrclass = {90C20 (65K05)},
Mrnumber = {MR1352843 (96d:90070)},
Pages = {167--174},
Title = {Positive definite constrained least-squares estimation of matrices},
Volume = {229},
Year = {1995},
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@article{AkJrPoJr:08,
Abstract = { This paper discusses a method for estimating noise covariances from process data. In linear stochastic state-space representations the true noise covariances are generally unknown in practical applications. Using estimated covariances a Kalman filter can be tuned in order to increase the accuracy of the state estimates. There is a linear relationship between covariances and autocovariance. Therefore, the covariance estimation problem can be stated as a least-squares problem, which can be solved as a symmetric semidefinite least-squares problem. This problem is convex and can be solved efficiently by interior-point methods. A numerical algorithm for solving the symmetric is able to handle systems with mutually correlated process noise and measurement noise.},
Author = {Akesson, Bernt M. and JÂ¯rgensen, John Bagterp and Poulsen, Niels KjÂ¯lstad and JÂ¯rgensen, Sten Bay},
Cites = {Kr:03},
Date-Added = {2008-06-02 16:24:47 -0400},
Date-Modified = {2008-06-06 00:12:14 -0400},
Journal = {Journal of Process Control},
Keywords = {Kalman filtering; Covariance estimation; Optimal estimation; State estimation; SDLS},
Pages = {--},
Title = {A generalized autocovariance least-squares method for Kalman filter tuning},
Ty = {JOUR},
Url = {http://www.sciencedirect.com/science/article/B6V4N-4RH2SSF-1/1/c8ca55ee308fad43766838dbf75ea8c9},
Volume = {In Press, Corrected Proof},
Year = {2008},
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Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6V4N-4RH2SSF-1/1/c8ca55ee308fad43766838dbf75ea8c9}}
@mastersthesis{Kr:03,
Address = {University of British Columbia},
Author = {Nathan Krislock},
Cited-By = {AkJrPoJr:08,KrLaVaPaSe:04},
Cites = {Hu:95},
Date-Added = {2008-06-02 15:54:56 -0400},
Date-Modified = {2008-06-06 00:09:41 -0400},
Keywords = {SDLS, interior-point methods},
Title = {Numerical solution of semidefinite least squares problems},
Year = {2003},
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@misc{WeWo:06,
Author = {Hua Wei and Henry Wolkowicz},
Date-Added = {2008-06-01 23:48:46 -0400},
Date-Modified = {2008-06-03 10:55:08 -0400},
Howpublished = {Technical Report CORR 2006-01, University of Waterloo, Waterloo, Ontario},
Keywords = {SDP, strict complementarity, max-cut, interior-point methods},
Title = {Generating and Measuring Instances of Hard Semidefinite Programs},
Year = {2006},
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@misc{KrPiWo:06,
Author = {Nathan Krislock and Veronica Piccialli and Henry Wolkowicz},
Date-Added = {2008-06-01 21:12:13 -0400},
Date-Modified = {2008-06-02 22:23:49 -0400},
Howpublished = {Technical Report CORR 2006-12, University of Waterloo, Waterloo, Ontario},
Keywords = {Sensor Network Localization, Anchors, Graph Realization, SDP, Euclidean Distance Matrix Completions, Gauss-Newton; SDLS},
Read = {Yes},
Title = {Robust Semidefinite Programming Approaches for Sensor Network Localization with Anchors},
Year = {2006},
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@book{WoSaVa:00,
Address = {Boston, MA},
Date-Added = {2008-06-01 15:37:12 -0400},
Date-Modified = {2008-06-03 10:57:48 -0400},
Editor = {Henry Wolkowicz and Romesh Saigal and Lieven Vandenberghe},
Isbn = {0792377710},
Keywords = {Linear programming; Mathematical optimization; SDP},
Pages = {xxvi, 654 p.},
Publisher = {Kluwer Academic},
Title = {Handbook of Semidefinite Programming: Theory, Algorithms, and Applications},
Year = {2000}}
@article{Wo:04,
Author = {Wolkowicz, Henry},
Date-Added = {2008-06-01 15:24:13 -0400},
Date-Modified = {2008-06-02 22:13:58 -0400},
Fjournal = {Optimization Methods \& Software},
Issn = {1055-6788},
Journal = {Optim. Methods Softw.},
Keywords = {SDP; Large sparse problems; Gauss-Newton, Preconditioned conjugate gradients; Crossover; Max-Cut problem},
Mrclass = {90C22 (90C52)},
Mrnumber = {MR2102220 (2005h:90091)},
Mrreviewer = {E. Alper Y{\i} ld{\i} r{\i} m},
Number = {6},
Pages = {653--672},
Title = {Solving semidefinite programs using preconditioned conjugate gradients},
Volume = {19},
Year = {2004},
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@article{GoWeWo:07,
Abstract = {This paper studies a primal--dual interior/exterior-point path-following approach for linear programming that is motivated on using an iterative solver rather than a direct solver for the search direction. We begin with the usual perturbed primal--dual optimality equations. Under nondegeneracy assumptions, this nonlinear system is well-posed, i.e. it has a nonsingular Jacobian at optimality and is not necessarily ill-conditioned as the iterates approach optimality. Assuming that a basis matrix (easily factorizable and well-conditioned) can be found, we apply a simple preprocessing step to eliminate both the primal and dual feasibility equations. This results in a single bilinear equation that maintains the well-posedness property. Sparsity is maintained. We then apply either a direct solution method or an iterative solver (within an inexact Newton framework) to solve this equation. Since the linearization is well posed, we use affine scaling and do not maintain nonnegativity once we are close enough to the optimum, i.e. we apply a change to a pure Newton step technique. In addition, we correctly identify some of the primal and dual variables that converge to 0 and delete them (purify step). We test our method with random nondegenerate problems and problems from the Netlib set, and we compare it with the standard Normal Equations NEQ approach. We use a heuristic to find the basis matrix. We show that our method is efficient for large, well-conditioned problems. It is slower than NEQ on ill-conditioned problems, but it yields higher accuracy solutions.},
Author = {Gonzalez-Lima, Maria and Wei, Hua and Wolkowicz, Henry},
Date-Added = {2008-06-01 14:48:52 -0400},
Date-Modified = {2008-06-03 10:47:28 -0400},
Fjournal = {Computational Optimization and Applications},
Journal = {Comput. Optim. Appl.},
Keywords = {Linear programming, Large sparse problems, Preconditioned conjugate gradients, Stability},
M3 = {10.1007/s10589-007-9157-2},
Title = {A stable primal--dual approach for linear programming under nondegeneracy assumptions},
Ty = {JOUR; JOUR},
Url = {http://dx.doi.org/10.1007/s10589-007-9157-2},
Volume = {to appear},
Year = {2008},
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Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10589-007-9157-2}}
@article{KlPeRoTe:01,
Author = {E. de Klerk and J. Peng and C. Roos and T. Terlaky},
Date-Added = {2008-06-01 14:13:12 -0400},
Date-Modified = {2008-06-03 10:24:51 -0400},
Doi = {10.1137/S1052623499352632},
Journal = {SIAM J. Optim.},
Keywords = {SDP; primal-dual search directions; interior-point methods; Gauss-Newton},
Number = {4},
Pages = {870-888},
Publisher = {SIAM},
Title = {A Scaled {G}auss-{N}ewton Primal-Dual Search Direction for Semidefinite Optimization},
Url = {http://link.aip.org/link/?SJE/11/870/1},
Volume = {11},
Year = {2001},
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Bdsk-Url-1 = {http://link.aip.org/link/?SJE/11/870/1},
Bdsk-Url-2 = {http://dx.doi.org/10.1137/S1052623499352632}}
@article{ElTaZh:94,
Author = {A. S. El-Bakry and R. A. Tapia and Y. Zhang},
Date-Added = {2008-06-01 14:08:34 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Doi = {10.1137/1036003},
Journal = {SIAM Review},
Keywords = {interior-point methods; indicator function; identifying zero variables},
Number = {1},
Pages = {45-72},
Publisher = {SIAM},
Title = {A Study of Indicators for Identifying Zero Variables in Interior-Point Methods},
Url = {http://link.aip.org/link/?SIR/36/45/1},
Volume = {36},
Year = {1994},
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Bdsk-Url-1 = {http://link.aip.org/link/?SIR/36/45/1},
Bdsk-Url-2 = {http://dx.doi.org/10.1137/1036003}}
@article{VaBoWu:98,
Author = {Lieven Vandenberghe and Stephen Boyd and Shao-Po Wu},
Date-Added = {2008-06-01 13:45:22 -0400},
Date-Modified = {2008-06-03 11:13:38 -0400},
Doi = {10.1137/S0895479896303430},
Fjournal = {SIAM Journal on Matrix Analysis and Applications},
Journal = {SIAM J. Matrix Anal. Appl.},
Keywords = {SDP; interior-point methods; linear matrix inequalities; determinant maximization},
Number = {2},
Pages = {499-533},
Publisher = {SIAM},
Title = {Determinant Maximization with Linear Matrix Inequality Constraints},
Url = {http://link.aip.org/link/?SML/19/499/1},
Volume = {19},
Year = {1998},
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Bdsk-Url-1 = {http://link.aip.org/link/?SML/19/499/1}}
@article{NiDeSt:06,
Author = {Nie, Jiawang and Demmel, James and Sturmfels, Bernd},
Date-Added = {2008-05-31 16:55:22 -0400},
Date-Modified = {2008-06-02 22:13:58 -0400},
Fjournal = {Mathematical Programming. A Publication of the Mathematical Programming Society},
Issn = {0025-5610},
Journal = {Math. Program.},
Keywords = {Polynomials, Global Optimization, Sum of Squares, SDP, Radical Ideal, Variety, Gradient Ideal, Algebraic Geometry},
Mrclass = {90C22 (14P10 90C46)},
Mrnumber = {MR2216797 (2006m:90120)},
Mrreviewer = {Aris Daniilidis},
Number = {3, Ser. A},
Pages = {587--606},
Title = {Minimizing polynomials via sum of squares over the gradient ideal},
Volume = {106},
Year = {2006},
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@article{QiSu:06,
Author = {Qi, Houduo and Sun, Defeng},
Cites = {KrLaVaPaSe:04},
Date-Added = {2008-05-31 16:12:56 -0400},
Date-Modified = {2008-06-06 00:14:13 -0400},
Fjournal = {SIAM Journal on Matrix Analysis and Applications},
Issn = {0895-4798},
Journal = {SIAM J. Matrix Anal. Appl.},
Keywords = {correlation matrix, semismooth matrix equation, Newton method, quadratic convergence},
Mrclass = {90C25 (65K10 90C33)},
Mrnumber = {MR2255334 (2007e:90075)},
Mrreviewer = {A. Bultheel},
Number = {2},
Pages = {360--385},
Title = {A quadratically convergent {N}ewton method for computing the nearest correlation matrix},
Volume = {28},
Year = {2006},
Bdsk-File-1 = {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}}
@article{JoKrWo:98,
Author = {Johnson, Charles R. and Kroschel, Brenda and Wolkowicz, Henry},
Coden = {CPPPEF},
Date-Added = {2008-05-30 19:50:29 -0400},
Date-Modified = {2008-06-03 00:13:59 -0400},
Fjournal = {Computational Optimization and Applications. An International Journal},
Issn = {0926-6003},
Journal = {Comput. Optim. Appl.},
Keywords = {positive definite completions, best nonnegative approximation, SDP, interior-point methods, complementarity problems; SDLS},
Mrclass = {90C25 (90C20)},
Mrnumber = {MR1601892 (99a:90154)},
Mrreviewer = {Michael L. Dowling},
Number = {2},
Pages = {175--190},
Title = {An interior-point method for approximate positive semidefinite completions},
Volume = {9},
Year = {1998},
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@article{AlWo:05,
Author = {Al-Homidan, Suliman and Wolkowicz, Henry},
Coden = {LAAPAW},
Date-Added = {2008-05-30 19:47:44 -0400},
Date-Modified = {2008-06-03 00:04:57 -0400},
Fjournal = {Linear Algebra and its Applications},
Issn = {0024-3795},
Journal = {Linear Algebra Appl.},
Keywords = {Euclidean Distance Matrix Completions, SDP; SDLS},
Mrclass = {90C22},
Mrnumber = {MR2156431 (2006m:90115)},
Mrreviewer = {Anhua Lin},
Pages = {109--141},
Title = {Approximate and exact completion problems for {E}uclidean distance matrices using semidefinite programming},
Volume = {406},
Year = {2005},
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@article{KrMuReVaWo:01,
Author = {Kruk, Serge and Muramatsu, Masakazu and Rendl, Franz and Vanderbei, Robert J. and Wolkowicz, Henry},
Coden = {OMSOE2},
Date-Added = {2008-05-30 19:44:14 -0400},
Date-Modified = {2008-06-02 22:13:58 -0400},
Fjournal = {Optimization Methods and Software},
Issn = {1055-6788},
Journal = {Optim. Methods Softw.},
Keywords = {SDP, Gauss-Newton, interior-point methods},
Mrclass = {90C22 (90C51)},
Mrnumber = {MR1891034 (2003b:90063)},
Mrreviewer = {Marina Alex Epelman},
Number = {1},
Pages = {1--28},
Title = {The {G}auss-{N}ewton direction in semidefinite programming},
Volume = {15},
Year = {2001},
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@article{KrWo:03,
Author = {Kruk, Serge and Wolkowicz, Henry},
Date-Added = {2008-05-30 19:36:54 -0400},
Date-Modified = {2008-06-02 22:13:58 -0400},
Fjournal = {Journal of Applied Mathematics},
Issn = {1110-757X},
Journal = {J. Appl. Math.},
Keywords = {SDP, Gauss-Newton, interior-point methods},
Mrclass = {90C53 (65K05)},
Mrnumber = {MR2013788 (2005a:90193)},
Mrreviewer = {Heinz H. Bauschke},
Number = {10},
Pages = {517--534},
Title = {Convergence of a short-step primal-dual algorithm based on the {G}auss-{N}ewton direction},
Year = {2003},
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@article{Su:06,
Author = {Sun, Defeng},
Date-Added = {2008-05-30 19:30:38 -0400},
Date-Modified = {2008-06-03 11:10:41 -0400},
Fjournal = {Mathematics of Operations Research},
Issn = {0364-765X},
Journal = {Math. Oper. Res.},
Keywords = {nonlinear SDP; strong second-order sufficient condition; constraint nondegeneracy; strong regularity},
Mrclass = {90C22 (90C31)},
Mrnumber = {MR2281228 (2007m:90060)},
Mrreviewer = {Ji-Ming Peng},
Number = {4},
Pages = {761--776},
Title = {The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications},
Volume = {31},
Year = {2006},
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@book{BoSh:00,
Address = {New York},
Author = {Bonnans, J. F. and Shapiro, A.},
Date-Added = {2008-05-30 19:26:28 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Isbn = {0-387-98705-3},
Keywords = {perturbation analysis},
Mrclass = {90-02 (49-02 49K40 90C31)},
Mrnumber = {MR1756264 (2001g:90003)},
Mrreviewer = {T. Zolezzi},
Pages = {xviii+601},
Publisher = {Springer-Verlag},
Series = {Springer Series in Operations Research},
Title = {Perturbation analysis of optimization problems},
Year = {2000}}
@incollection{Ja:03,
Address = {Boston, MA},
Author = {Jarre, Florian},
Booktitle = {System modeling and optimization, XX (Trier, 2001)},
Date-Added = {2008-05-30 19:13:47 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Keywords = {nonlinear SDP},
Mrclass = {90C22 (90C30)},
Mrnumber = {MR2022764 (2004j:90076)},
Pages = {55--69},
Publisher = {Kluwer Acad. Publ.},
Series = {IFIP Int. Fed. Inf. Process.},
Title = {Some aspects of nonlinear semidefinite programming},
Volume = {130},
Year = {2003}}
@article{Sh:97,
Abstract = {Abstract~~In this paper we study nonlinear semidefinite programming problems. Convexity, duality and first-order optimality conditions for such problems are presented. A second-order analysis is also given. Second-order necessary and sufficient optimality conditions are derived. Finally, sensitivity analysis of such programs is discussed. },
Author = {Shapiro, Alexander},
Date-Added = {2008-05-30 18:31:20 -0400},
Date-Modified = {2008-06-03 10:53:50 -0400},
Fjournal = {Mathematical Programming},
Journal = {Math. Program.},
Keywords = {SDP; Cone constraints; Convex programming; Duality; Second-order optimality conditions; Tangent cones; Optimal value function; Sensitivity analysis; nonlinear SDP},
M3 = {10.1007/BF02614439},
Number = {1},
Pages = {301--320},
Title = {First and second order analysis of nonlinear semidefinite programs},
Ty = {JOUR},
Url = {http://dx.doi.org/10.1007/BF02614439},
Volume = {77},
Year = {1997},
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Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF02614439}}
@article{FrJaVo:07,
Author = {Freund, Roland W. and Jarre, Florian and Vogelbusch, Christoph H.},
Date-Added = {2008-05-30 18:21:53 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Fjournal = {Mathematical Programming. A Publication of the Mathematical Programming Society},
Issn = {0025-5610},
Journal = {Math. Program.},
Keywords = {nonlinear SDP, Sequential quadratic programming Sensitivity, Reduced-order modeling, Positive realness},
Mrclass = {90C22 (90C55)},
Mrnumber = {MR2296565 (2007k:90088)},
Mrreviewer = {Hubertus Th. Jongen},
Number = {2-3, Ser. B},
Pages = {581--611},
Read = {No},
Title = {Nonlinear semidefinite programming: sensitivity, convergence, and an application in passive reduced-order modeling},
Volume = {109},
Year = {2007},
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@misc{DiKrQiWo:06,
Author = {Yichuan Ding and Nathan Krislock and Jiawei Qian and Henry Wolkowicz},
Date-Added = {2008-05-30 02:46:22 -0400},
Date-Modified = {2008-06-02 22:23:32 -0400},
Howpublished = {Technical Report CORR 2006-23, University of Waterloo, Waterloo, Ontario},
Keywords = {Sensor Network Localization, Anchors, Graph Realization, Euclidean Distance Matrix Completions, SDP, Lagrangian Relaxation, SDLS},
Rating = {3},
Read = {Yes},
Title = {Sensor Network Localization, {E}uclidean Distance Matrix Completions, and Graph Realization},
Url = {http://www.citebase.org/abstract?id=oai:arXiv.org:math/0612388},
Year = {2006},
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@article{To:01,
Author = {Todd, M. J.},
Date-Added = {2008-05-30 02:27:25 -0400},
Date-Modified = {2008-06-03 10:54:26 -0400},
Fjournal = {Acta Numerica},
Issn = {0962-4929},
Journal = {Acta Numerica},
Keywords = {SDP, interior-point methods},
Mrclass = {90-02 (90C22)},
Mrnumber = {MR2009698 (2004g:90004)},
Mrreviewer = {Kenneth O. Kortanek},
Pages = {515--560},
Rating = {5},
Read = {Yes},
Title = {Semidefinite optimization},
Volume = {10},
Year = {2001},
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@article{KrLaVaPaSe:04,
Author = {Krislock, N and Lang, JC and Varah, J and Pai, DK and Seidel, HP},
Cited-By = {St:07,To:08,QiSu:06},
Cites = {Kr:03},
Date-Added = {2008-05-30 01:46:49 -0400},
Date-Modified = {2008-06-06 00:36:03 -0400},
Doi = {10.1109/TRO.2004.832794},
Issn = {1042-296X},
Journal = {IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION},
Keywords = {Constrained Linear Least Squares, Deformable Models, Stiffness Matrix},
Number = {6},
Pages = {1007--1011},
Rating = {3},
Read = {Yes},
Title = {Local compliance estimation via positive semidefinite constrained least squares},
Unique-Id = {ISI:000225484300007},
Volume = {20},
Year = {2004},
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@article{FaGeJo:03,
Address = {Orlando, FL, USA},
Author = {Shaun M. Fallat and Michael I. Gekhtman and Charles R. Johnson},
Date-Added = {2008-05-29 21:53:29 -0400},
Date-Modified = {2008-06-02 16:20:39 -0400},
Doi = {http://dx.doi.org/10.1016/S0196-8858(02)00506-7},
Issn = {0196-8858},
Journal = {Adv. Appl. Math.},
Keywords = {bidiagonal factorization, determinant, determinantal inequalities, principal minor, totally nonnegative matrices},
Number = {3},
Pages = {442--470},
Publisher = {Academic Press, Inc.},
Title = {Multiplicative principal-minor inequalities for totally nonnegative matrices},
Volume = {30},
Year = {2003},
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@misc{dABaGh:07,
Author = {Alexandre d'Aspremont and Francis Bach and Laurent El Ghaoui},
Date-Added = {2008-05-29 20:54:56 -0400},
Date-Modified = {2008-06-06 00:39:09 -0400},
Keywords = {PCA, subset selection, sparse eigenvalues, sparse recovery, lasso},
Title = {Full Regularization Path for Sparse Principal Component Analysis},
Url = {http://arxiv.org/abs/0707.0705v4},
Year = {2007},
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.bjorBOOK.bib0000600001023000004570000076300212450377443012612 0ustar hwolkowinone%% Version dated January 4, 1996
REFERENCES FOR LEAST SQUARES METHODS
{\AA}ke Bj{\"o}rck
This is the BibTeX reference base which I have used for the book
Numerical Methods for Least Squares, SIAM, 1996 (reference {bjor:96}).
It is available by anonymous ftp at
math.liu.se
in the directory
pub/references
It has been modeled after the BibTeX reference base of Pete Stewart, and
the same comments applies to its use. Below I repeat some of the introductory
comments of his base:
CITATION KEYS
A citation key is divided into two fields, :, separated
by a colon. The author field is constructed as follows. If there is
only one author, the first four letters of his or her last name are
used to form the field (but only one letter each from prefixes, e.g.
van de Geign becomes vdge). If there are two authors the first two
letters in their last names are used. If there are three authors the
first two letters of the first are used with one letter from each of
the second and third. If their are four, one letter from each is used.
Warning: there may be a few exceptions to these conventions.
NAMES
Names appear in the order in which they appear in the reference, and entries
are alphabetized by the first name to appear. To keep BibTeX from
becoming confused, only initials of given names are used.
Between some entries you will find clusters of two letters--e.g. -ac- -ad-.
These can be used to position yourself within the reference base.
KEYWORDS
Each entry has a keyword field, labeled kwds. The program bibsrch (see below)
will search the file for matches in a user-specified
combination of conjunctions, disjunctions, and negations. The user
can also specify the author. The program getkey dumps the keywords
on the standard output. To get an alphabetized list of all key words
from the file ref.bib try
getkey ref | sort -uf > keywords
The choice of key words is a highly personal matter. I have used a number
of abbreviations to keep the kwds field to a manageable size. Here they are.
approximate methods (appr)
augmented system (augms)
backward perturbation (pert),
banded least squares (band),
blas (blas),
block angular system (basys),
block methods (block),
Chebyshev approximation (cheb),
Cholesky (chol),
condition (cond),
conjugate gradients (cg),
constrained least squares (constr),
control theory (contr),
covariance matrix (covar),
CS decomposition (csd),
downdating (downd),
eigenvalue problem (eigv)
equilibration (scale),
error estimate (err),
fast Fourier transform (fft),
fill-in (fill),
generalized eigenvalue problems (geig),
generalized inverse (ginv),
generalized linear model (glsq),
generalized QR decomposition (gqrd),
geodesy (geod),
geometric elements, fitting (geom),
generalized singular value decomposition (gsvd),
Givens rotation (rot),
graph theory (graph),
Gram-Schmidt (grsch),
history of least squares (hist),
Householder (house),
hyperbolic rotation (hyp),
ill-posed (illp),
interior point methods (intpoint),
interval analysis (err),
iterative method (iter),
iterative refinement (ir),
Kronecker product (kron),
Lanczos (lanczos),
linear algebra general (la),
LU decomposition (lud),
matrix approximation (max),
nested dissection (nestdis),
nonlinear least squares (nlsq),
normal equations (ne),
numerical linear algebra (nla)
optimization (opt),
ordering for sparsity (perm),
orthogonalization (orth),
orthogonal regression (orthreg),
precision (err),
preconditioning (precond),
pseudo-inverse (ginv),
parallel computation (prll),
perturbation theory (pert),
polynomial approximation (poly),
projection (orth),
QR decomposition (qrd),
quadratic programming (quadpr),
random matrix (rand),
rank degenerate problems (rank),
rank revealing QR factorization (rrqrd),
recursive least squares (rls),
regularization (regul),
regression (regr),
robust estimation (rob),
scaling (scale),
signal processing (sigp),
singular value decomposition (svd),
software (soft),
sparse (sparse),
spline approximation (spline),
statistics (stat),
survey paper/book (survey),
systolic (syst),
test matrix (test),
Toeplitz (toep),
total least squares (tls),
underdetermined systems (uds),
updating, downdating (upd, downd),
Vandermonde systems (vand),
variable projection (varpro),
vector processing (prll),
weighted least squares (wlsq)"
The program getkey also prints out these correspondences in the
appropriate places. (They are actually key words in the last article
of the base; take a look.)
DISCLAIMERS
Do not use the references in a paper, unless you have checked them out
for yourself. Naturally, I am interested in hearing about any errors
you may find. This reference base downdated regularly, and items can
disappear. For example, I will generally remove techreports as I find them
published in journals. If you use this base in a \bibliograpy command,
save your bbl files!
BIBSRCH
The programs bibsrch and getkey, written by G.W. Stewart, may be generated from
the file bibsearch.tar, available by anonymous ftp at
thales.cs.umd.edu
in the directory
pub/references.
Simply place bibsearch.tar in the directory where you want the directory
containing the programs. Then
tar xf bibsearch.tar
cd bibsearch
more README
and you will be told what to do next.
@article{abde:71,
author = "N. N. Abdelmalek",
year = "1971",
title = "Roundoff Error Analysis for {Gram-Schmidt} Method and
Solution of Linear Least Squares Problems",
journal = "BIT",
volume = "11",
pages = "345--368",
kwds = "err,grsch,qrd"
}
@article{adco:1878,
author = "R. J. Adcock",
year = "1878",
title = "A Problem in Least Squares",
journal = "The Analyst",
volume = "5",
pages = "53--54",
kwds = "regr,stat,tls"
}
@book{ahhu:83,
author = "A. V. Aho and J. E. Hopcroft and J. D. Ullman",
year = "1983",
title = "Data Structures and Algorithms",
publisher = "Addison-Wesley",
address = "Reading, MA",
kwds = ""
}
@article{aike:34,
author = "A. C. Aiken",
year = "1934",
title = "On Least Squares and Linear Combinations of Observations",
journal = "Proceedings of the Royal Society of Edinburgh, Sec. A",
volume = "55",
pages = "42--47",
kwds = "regr,stat"
}
@article{ajje:84,
author = "M. A. Ajiz and A. Jennings",
year = "1984",
title = "A Robust Incomplete {Choleski}-Conjugate Gradient Algorithm",
journal = "Internat. J. Numer. Methods. Engrg.",
volume = "20",
pages = "949--966",
kwds = "cg, precond"
}
al-
@article{alfl:85,
author = "M. Al-Baali and R. Fletcher",
year = "1985",
title = "Variational Methods for Non-linear Least Squares",
journal = "J. Oper. Res. Soc.",
volume = "36",
pages = "405--421",
kwds = "nlsq"
}
@article{alfl:86,
author = "M. Al-Baali and R. Fletcher",
year = "1986",
title = "An Efficient Line Search for Nonlinear Least-squares",
journal = "J. Optim. Theory Appl.",
volume = "48",
pages = "359--377",
kwds = "nlsq"
}
@phdthesis{alba:84,
author = "M. Al-Baali",
year = "1984",
title = "Methods for Nonlinear Least Squares",
school = "Department of Mathematical Sciences, University of Dundee",
address = "Scotland",
type = "{Ph. D.} thesis",
kwds = "nlsq"
}
al- an-
@article{alpp:88,
author = "S. T. Alexander and C.-T. Pan and R. J. Plemmons",
year = "1988",
title = "Analysis of a Recursive Least Squares Hyperbolic
Rotation Algorithm for Signal Processing",
journal = "Linear Algebra Appl.",
volume = "98",
pages = "3-40",
kwds = "downd, hyp, sigp, rls"
}
@article{alva:90,
author = "F. L. Alvarado",
year = "1990",
title = "Manipulating and Visualization of Sparse Matrices",
journal = "ORSA J. Comput.",
volume = "2",
pages = "186--207",
kwds = "sparse, soft"
}
@phdthesis{ames:91,
author = "P. R. Amestoy",
year = "1991",
title = "Factorization of Large Sparse Matrices Based on a
Multifrontal Approach in a Multiprocessor Environment",
school = "CERFACS",
address = " Toulouse, France",
type = "{Ph. D.} thesis",
number = "TH/PA/91/2",
kwds = "sparse, prll, thesis"
}
@article{amdu:89,
author = "P. R. Amestoy and I. S. Duff",
year = "1989",
title = "Vectorization of a Multiprocessor Multifrontal Code",
journal = "Internat. J. Supercomp. Appl.",
volume = "3",
pages = "41--59",
kwds = "sparse, prll"
}
@article{amdu:93,
author = "P. R. Amestoy and I. S. Duff",
year = "1993",
title = "Memory Allocation Issues in Sparse Multiprocessor
Multifrontal Methods",
journal = "Internat. J. Supercomput. Appl.",
volume = "7",
pages = "64--82",
kwds = "sparse, prll"
}
@article{anpa:94,
author = "A. A. Anda and H. Park",
year = "1994",
title = "Fast Plane Rotations with Dynamic Scaling",
journal = " SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "162--174",
kwds = "rot"
}
@article{anpa:96,
author = "A. A. Anda and H. Park",
year = "1996",
title = "Self-Scaling Fast Rotations for Stiff Least Squares Problems",
journal = "Linear Algebra Appl.",
volume = "234",
pages = "137--162",
kwds = "rot, qrd,wlsq,constr"
}
@book{anbb:95,
editor = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and
J. Dongarra and J. {Du Croz} and A. Greenbaum and
S. Hammarling and A. McKenney and S. Ostrouchov and
D. Sorensen ",
year = "1995",
title = "{LAPACK} Users' Guide. Second Edition",
publisher = "SIAM",
address = "Philadelphia",
kwds = "prll,soft"
}
@book{anbb:99,
editor = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and
J. Dongarra and J. {Du Croz} and A. Greenbaum and
S. Hammarling and A. McKenney and
D. Sorensen",
year = "1999",
title = "{LAPACK} Users' Guide. Third Edition",
publisher = "SIAM",
address = "Philadelphia",
note={www.netlib.org/lapack/lug/lapack\_lug.html},
kwds = "prll,soft"
}
@techreport{anbd:91,
author = "E. Anderssen and Z. Bai and J. Dongarra",
title = "Generalized {QR} Factorization and its Applications",
institution = "Computer Science Department",
year = "1991",
type = "{Tech. Report}",
number = "CS-91-131",
address = "University of Tennessee, Knoxville, TN",
kwds = "iter"
}
@article{anka:75,
author = "N. Anderson and I. Karasalo",
year = "1975",
title = "On Computing Bounds for the Least Singular Value of a Triangular
Matrix",
journal = "BIT",
volume = "15",
pages = "1--4",
kwds = "err, rank, svd"
}
@techreport{ango:72,
author = "R. S. Anderssen and G. Golub",
title = "Richardson's Non-Stationary Matrix Iterative Procedure",
institution = "Computer Science Department",
year = "1972",
type = "{Tech. Report}",
number = "STAN-CS-72-304",
address = "Stanford University, CA",
kwds = "iter"
}
ar- as-
@article{ardd:89,
author = "M. Arioli and J. Demmel and I. S. Duff",
year = "1989",
title = "Solving Sparse Linear Systems with Sparse Backward Error",
journal = " SIAM J. Matrix Anal. Appl.",
volume = "10",
pages = "165--190",
kwds = "sparse, pert"
}
@article{ardr:89,
author = "M. Arioli and I. S. Duff and P. P. M. de Rijk",
year = "1989",
title = "On the augmented system approach to sparse least-squares problems",
journal = "Numer. Math.",
volume = "55",
pages = "667--684",
kwds = "sparse, augms"
}
@article{ardr:92,
author = "M. Arioli and I. S. Duff and D. Ruiz",
year = "1992",
title = "Stopping Criteria for Iterative Solvers",
journal = " SIAM J. Matrix Anal. Appl.",
volume = "13",
pages = "138--144",
kwds = "iter, pert"
}
@article{adrs:95,
author = "M. Arioli and I. S. Duff and D. Ruiz and M. Sadkane",
year = "1995",
title = "Block {Lanczos} Techniques for Accelerating the Block
{Cimmino} Method",
journal = " SIAM J. Sci. Comput.",
volume = "16",
pages = "1478--1511",
kwds = "iter, sparse, prll"
}
@article{ardn:92,
author = "M. Arioli and I. S. Duff and J. Noailles and D. Ruiz",
year = "1990",
title = "A Block Projection Method for Sparse Matrices",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "13",
pages = "47--70",
kwds = "sparse, iter"
}
@article{arla:86,
author = "M. Arioli and A. Laratta",
year = "1986",
title = "Error analysis of an algorithm for solving an underdetermined
linear system",
journal = "Numer. Math.",
volume = 46,
pages = "255--268",
kwds = "err, uds"
}
@article{arla:86a,
author = "M. Arioli and A. Laratta",
year = "1986",
title = "Error analysis of algorithms for computing the projection of a
Point onto a linear manifold",
journal = "Linear Algebra Appl.",
volume = 82,
pages = "1--26",
kwds = "uds, orth"
}
@article{asgr:89,
author = "C. Ashcraft and R. G. Grimes",
year = "1989",
title = "The Influence of Relaxed Supernode Partitions on the
Multifrontal Method",
journal = "ACM Trans. Math. Software",
volume = "15",
pages = "291--309",
kwds = "sparse, prll"
}
@techreport{ashc:87,
author = "C. Ashcraft",
year = "1987",
title = "A Vector Implementation of the Multifrontal
Method for Large Sparse Positive definite Systems",
institution = "Engineering Technology Division,
Boeing Computer Services",
address= "Seattle, WA",
type = "{Tech. Report}",
number = "ETA-TR-51",
kwds = "sparse, prll"
}
@incollection{ashk:71,
author = "V. Ashkenazi",
year = "1971",
title = " Geodetic Normal Equations",
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@book {MR97g:65004,
AUTHOR = {Bj{\"o}rck, {\AA}ke},
TITLE = {Numerical methods for least squares problems},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
ADDRESS = {Philadelphia, PA},
YEAR = {1996},
PAGES = {xviii+408},
ISBN = {0-89871-360-9},
MRCLASS = {65-02 (65Fxx 65H99)},
MRNUMBER = {97g:65004},
MRREVIEWER = {Hongyuan Zha},
}
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@article{elde:84,
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@techreport{elde:88,
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kwds = "kron, regul"
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kwds = "cg, iter"
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kwds = "cg, iter"
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%fa-
@article{fakf:68,
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kwds = "rank, qrd"
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@incollection{fakf:68a,
author = "D. K. Faddeev and V. N. Kublanovskaya and V. N. Faddeeva",
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pages = "161--170",
booktitle = "Programmation en Math{\'e}matiques Num{\'e}riques",
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kwds = "qrd, rank"
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kwds = "rrqrd, pert"
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%fl-
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ga-
@techreport{gand:80,
author = "W. Gander",
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author = "W. Gander and U. von Matt",
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@incollection{gaus:1823,
author = "C. F. Gauss",
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author = "C. F. Gauss",
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ge-
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kwds = "sparse, perm"
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author = "J. A. George",
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volume = "4",
pages = "177--187",
kwds = "sparse, test"
}
@book{geli:81,
author = "J. A. George and J. W.-H. Liu",
year = "1981",
title = "Computer Solution of Large Sparse Positive Definite Systems",
publisher = "Prentice-Hall",
address = "Englewood Cliffs, NJ",
kwds = "sparse, survey"
}
@article{geli:87,
author = "J. A. George and J. W.-H. Liu",
year = "1987",
title = "{Householder} Reflections versus {Givens} Rotations in Sparse
Orthogonal Decomposition",
journal = "Linear Algebra Appl.",
volume = "88/89",
pages = "223--238",
kwds = "sparse, rot, qrd"
}
@article{geli:89,
author = "J. A. George and J. W.-H. Liu",
year = "1989",
title = "The Evolution of the Minimum Degree Ordering Algorithm",
journal = "SIAM Review",
volume = "31",
pages = "1--19",
kwds = "sparse, perm, hist"
}
@article{geln:84,
author = "J. A. George and J. W.-H. Liu and E. G. Ng",
year = "1984",
title = "Row Ordering Schemes for Sparse {Givens} Transformations,
{I.} {Bipartite} Graph Model",
journal = "Linear Algebra Appl.",
volume = "61",
pages = "55--81",
kwds = "sparse, perm, rot"
}
@article{geln:86,
author = "J. A. George and J. W.-H. Liu and E. G. Ng",
year = "1986",
title = "Row Ordering Schemes for Sparse {Givens} Transformations,
{II.} {Implicit} Graph Model",
journal = "Linear Algebra Appl.",
volume = "75",
pages = "203--223",
kwds = "sparse, perm, rot"
}
@article{geln:86a,
author = "J. A. George and J. W.-H. Liu and E. G. Ng",
year = "1984",
title = "Row Ordering Schemes for Sparse {Givens} Transformations,
{III.} {Analysis} for a Model Problem",
journal = "Linear Algebra Appl.",
volume = "75",
pages = "225--240",
kwds = "sparse, perm, rot"
}
@article{geng:83,
author = "J. A. George and E. G. Ng",
year = "1983",
title = "On Row and Column Orderings for Sparse Least Squares Problems",
journal = "SIAM J. Numer. Anal.",
volume = "20",
pages = "326--344",
kwds = "sparse, perm, rot"
}
@techreport{geng:84,
author = "J. A. George and E. G. Ng",
year = "1984",
title = "{SPARSPAK}: Waterloo Sparse Matrix Package User's Guide for
{SPARSPAK-B}",
institution = "Department of Computer Science, University of Waterloo",
address = "Canada",
type = "Res. Report",
number = "CS-84-37",
note = "",
kwds = "sparse, soft"
}
@article{geng:85,
author = "J. A. George and E. G. Ng",
year = "1985",
title = "An Implementation of {Gaussian} Elimination with
Partial Pivoting for Sparse Systems",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "6",
pages = "390--409",
kwds = "sparse, lud"
}
@article{geng:87,
author = "J. A. George and E. G. Ng",
year = "1987",
title = "Symbolic Factorization for Sparse {Gaussian} Elimination with
Partial Pivoting",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "8",
pages = "877--898",
kwds = "sparse, lud"
}
@article{geng:88,
author = "J. A. George and E. G. Ng",
year = "1988",
title = "On the Complexity of Sparse {QR and LU} Factorization
of Finite-Element Matrices",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "9",
pages = "849--861",
kwds = "sparse, qrd, lud"
}
@article{geln:88,
author = "J. A. George and J. W.-H. Liu and E. G. Ng",
year = "1988",
title = "A Data Structure for Sparse {QR and LU} Factorization",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "9",
pages = "100--121",
kwds = "sparse, qrd, lud"
}
@article{gepv:78,
author = "J. A. George and W. G. Poole and R. G. Voigt",
year = "1978",
title = "Incomplete Nested Dissection for Solving $n$ by $n$ Grid Problems",
journal = "SIAM J. Numer. Anal.",
volume = "15",
pages = "90--112",
kwds = "sparse, perm, nestdis"
}
gi-
@phdthesis{gilb:80,
author = "J. R. Gilbert",
year = "1980",
title = "Graph Separator Theorems and Sparse {Gaussian} Elimination",
school = "Stanford University, CA",
type = "{Ph. D.} thesis",
kwds = "sparse, graph"
}
@article{gilb:94,
author = "J. R. Gilbert",
year = "1994",
title = "Predicting Structure in Sparse Matrix Computation",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "15",
pages ="62--79",
kwds = "sparse, soft"
}
@article{gims:92,
author = "J. R. Gilbert and C. Moler and R. Schreiber",
year = "1992",
title = "Sparse Matrices in {MATLAB}: Design and Implementation",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "13",
pages ="333--356",
kwds = "sparse, soft"
}
@techreport{ginp:93,
author = "J. R. Gilbert and E. G. Ng and B. W. Peyton",
year = "1993",
title = "Separators and Structure Prediction in Sparse Orthogonal
Factorization",
institution = "Xerox Corporation, Palo Alto Research Center",
type = "{Tech. Report}",
number = "CSL-93-15",
kwds = "sparse, qrd"
}
@article{gipe:88,
author = "J. R. Gilbert and T. Peierls",
year = "1988",
title = "Sparse Partial Pivoting in Time Proportional to Arithmetic Operations",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "9",
pages ="862--874",
kwds = "sparse"
}
@article{ggms:74,
author = "P. E. Gill and G. H. Golub and W. Murray and M.A. Saunders",
year = "1974",
title = "Methods for Modifying Matrix Factorizations",
journal = "Math. Comp",
volume = "28",
pages = "505--535",
kwds = "upd, downd, chol, qrd"
}
@techreport{gihm:86,
author = "P. E. Gill and S. J. Hammarling and W. Murray and M. A. Saunders
and M. H. Wright",
year = "1986",
title = "User's Guide for {LSSOL} (version {\rm 1.0}): a {Fortran} Package for
Constrained Linear Least-squares and Convex Quadratic Programming",
institution = "Department of Operations Research, Stanford University",
type = "{Report SOL}",
address = "CA",
kwds = "constr, quadpr, soft"
}
@inproceedings{gimu:76,
author = "P. E. Gill and W. Murray",
year = "1976",
title = "Nonlinear Least Squares and Nonlinearly Constrained Optimization",
booktitle = "Proceedings Dundee Conference on Numerical Analysis 1975",
editor = "G. A. Watson",
publisher = "Springer-Verlag, Berlin",
series = " Lecture Notes in Mathematics",
volume = "506",
pages = "135--147",
kwds = "nlsq, quadpr"
}
@inproceedings{gimu:76a,
author = "P. E. Gill and W. Murray",
year = "1976",
title = "The Orthogonal Factorization of a Large Sparse Matrix",
pages = "201--212",
booktitle = "Sparse Matrix Computations",
editor = "J. R. Bunch and D. J. Rose",
publisher = "Academic Press, New York",
kwds = "sparse, qrd"
}
@article{gimu:78,
author = "P. E. Gill and W. Murray",
year = "1978",
title = "Algorithms for the Solution of the Nonlinear Least Squares Problem",
journal = "SIAM J. Numer. Anal.",
volume = "15",
pages = "977--992",
kwds = "nlsq"
}
@book{gimw:81,
author = "P. E. Gill and W. Murray and M. H. Wright",
year = "1981",
title = "Practical Optimization",
publisher = "Academic Press",
address = "London and New York",
kwds = "nlsq, opt, survey"
}
@inproceedings{gmsw:90,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright",
year = "1990",
title = "A {Schur}-complement Method for Sparse Quadratic Programming",
booktitle = "Reliable Numerical Computation",
editor = "M. G. Cox and S. Hammarling",
pages = "113--138",
publisher = "Clarendon Press, Oxford, UK",
kwds = "sparse, quadpr, augms"
}
@article{give:58,
author = "W. Givens",
year = "1958",
title = "Computation of Plane Unitary Rotations Transforming a General
Matrix to Triangular Form",
journal = " SIAM J. Appl. Math.",
volume = "6",
pages = "26--50",
kwds = "qrd, rot"
}
@article{glsm:90,
author = "J. Gluchowska and A. Smoktunowicz",
year = "1990",
title = "Solving the Linear Least Squares Problem with Very High
Relative Accuracy",
journal = "Computing",
volume = "45",
pages = "345--354",
kwds = "err, ir"
}
@book{gold:77,
author = "H.~H. Goldstine",
year = "1977",
title = "A History of Numerical Analysis from the {\rm 16}th through the
{\rm 19}th Century",
publisher = "Springer-Verlag",
address = "New York",
kwds = "hist"
}
@article{golu:65,
author = "G. H. Golub",
year = "1965",
title = "Numerical Methods for Solving Least Squares Problems",
journal = "Numer. Math.",
volume = "7",
pages = "206-216",
kwds = "qrd, upd"
}
@article{golu:68,
author = "G. H. Golub",
year = "1968",
title = "Least Squares, Singular Values and Matrix Approximations",
journal = "Aplikace Matematiky",
volume = "13",
pages = "44--51",
kwds = "svd, max"
}
@inproceedings{golu:69,
author = "G. H. Golub",
year = "1969",
title = "Matrix Decompositions and Statistical Computation",
pages = "365--397",
booktitle = "Statistical Computation",
editor = "R.C. Milton and J. A. Nelder",
publisher = "Academic Press, New York",
kwds = "qrd, grsch, stat"
}
@article{golu:73,
author = "G. H. Golub",
year = "1973",
title = "Some Modified Matrix Eigenvalue Problems",
journal = "SIAM Review",
volume = "15",
pages = "318--344",
kwds = "upd"
}
@article{gohw:79,
author = "G. H. Golub and M. T. Heath and G. Wahba",
year = "1979",
title = "Generalized Cross-Validation as a Method for Choosing a Good
Ridge Parameter",
journal = "Technometrics",
volume = "21",
pages = "215--223",
kwds = "regul"
}
@article{gohs:87,
author = "G. H. Golub and A. Hoffman and G. W. Stewart",
year = "1987",
title = "A Generalization of the {Eckhard-Young-Mirsky} Matrix
Approximation Theorem",
journal = "Linear Algebra Appl.",
volume = "88/89",
pages = "317--327",
kwds = "max"
}
@article{goka:65,
author = "G. H. Golub and W. Kahan",
year = "1965",
title = "Calculating the Singular Values and Pseudo-inverse of a Matrix",
journal = "SIAM J. Numer. Anal. Ser. B",
volume = "2",
pages = "205--224",
kwds = "svd, lanczos"
}
@techreport{goks:76,
author = "G. H. Golub and V. Klema and G. W. Stewart",
year = "1976",
title = "Rank Degeneracy and Least Squares Problems",
institution = "Computer Science Department, Stanford University",
address = "CA",
type = " {Tech. Report}",
number = "STAN-CS-76-559, August 1976",
kwds = "rank, rrqrd"
}
@inproceedings{golv:79,
author = "G. H. Golub and R. J. LeVeque",
year = "1979",
title = "Extensions and Uses of the Variable Projection Algorithm for
Solving Nonlinear Least Squares Problems",
pages = "1--12",
booktitle = "Proceedings of the 1979 Army Numerical Analysis and
Computers Conf. ",
publisher = "White Sands Missile Range, White Sands, NM, ARO Report 79-3",
kwds = "nlsq, varpro"
}
@inproceedings{golu:77,
author = "G. H. Golub and F. T. Luk",
year = "1977",
title = "Singular Value Decomposition: Applications and Computations",
booktitle = "Trans. 22nd Conference of Army Mathematicians, ARO Report 77-1",
pages = "577--605",
kwds = "svd"
}
@article{golo:81,
author = "G. H. Golub and F. T. Luk and M. L. Overton",
year = "1981",
title = "A Block {Lanczos} Method for Computing the Singular Values and
Corresponding Singular Vectors of a Matrix",
journal = "ACM Trans. Math. Software",
volume = "7",
pages = "149--169",
kwds = "svd, lanczos"
}
@inproceedings{golp:79,
author = "G. H. Golub and F. T. Luk and M. Pagano",
year = "1979",
title = "A Sparse Least Squares Problem in Photogrammetry",
booktitle = "Proceedings of the Computer Science and Statistics
12th Annual Symposium on the Interface",
editor = "J. F. Gentleman",
publisher = "University of Waterloo, Canada",
pages = "26--30",
kwds = "sparse, nestdis"
}
@article{gomt:86,
author = "G. H. Golub and P. Manneback and P. Toint",
year = "1986",
title = "A Comparison Between some Direct and Iterative Methods for
Large Scale Geodetic Least Squares Problems",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "7",
pages = "799--816",
kwds = "sparse, nestdis, iter, cg, precond"
}
@inproceedings{gosv:95,
author = "G. H. Golub and K. Solna and P. {Van Dooren}",
year = "1995",
title = "A {QR}-Like {SVD} Algorithm for a Product/Quotient of
Several Matrices",
booktitle = "{SVD} and Signal Processing, III: Algorithms,
Architectures and Applications",
editor = "M. Moonen and B. {De Moor}",
pages = "139--147",
publisher = "Elsevier Science B.V., Amsterdam",
kwds = "gqrd, gsvd"
}
@article{goma:91,
author = "G. H. Golub and U. von Matt",
year = "1991",
title = "Quadratically Constrained Least Squares and Quadratic Problems",
journal = "Numer. Math.",
volume = "59",
pages = "561--580",
kwds = "regul, constr",
}
@article{gona:82,
author = "G. H. Golub and S. G. Nash",
year = "1982",
title = " Nonorthogonal Analysis of Variance using a Generalized
Conjugate-Gradient Algorithm",
journal = "J. Amer. Statist. Assoc.",
volume = "77",
pages = "109--116",
kwds = "cg, stat",
}
@article{gopedupl:73,
author = "G. H. GOLUB and V. PEREYRA",
year = "1973",
title = "The Differentiation of Pseudoinverses and Nonlinear
Least Squares Problems Whose Variables Separate",
journal = "SIAM J. Numer. Anal.",
volume = "10",
pages = "413--432",
kwds = "pert, ginv, varpro,"
}
@inproceedings{gope:76,
author = "G. H. Golub and V. Pereyra",
year = "1976",
title = "Differentiation of Pseudoinverses, Separable
Nonlinear Least Squares Problems and Other Tales",
booktitle = "Generalized Inverses and Applications",
editor = "M. Z. Nashed",
pages = "303--324",
publisher = "Academic Press, New York",
kwds = "pert, ginv, varpro,"
}
@article{gopl:80,
author = "G. H. Golub and R. J. Plemmons",
year = "1980",
title = "Large-Scale Geodetic Least-Squares Adjustment by Dissection
and Orthogonal Decomposition",
journal = "Linear Algebra Appl.",
volume = "34",
pages = "3--28",
kwds = "sparse, qrd, geod, nestdis"
}
@inproceedings{gops:88,
author = "G. H. Golub and R. J. Plemmons and A. Sameh",
year = "1988",
title = "Parallel Block Schemes for Large-Scale Least-Squares Computations",
pages = "171-179",
booktitle = "High-Speed Computing, Scientific Applications and Algorithm
Design",
publisher = "University of Illinois Press",
address = "",
kwds = "iter, prll"
}
@article{gore:70,
author = "G. H. Golub and C. Reinsch",
year = "1970",
title = "Singular Value Decomposition and Least Squares Solution",
journal = "Numer. Math.",
volume = "14",
pages = "403--420",
kwds = "svd, rank, reg"
}
@inproceedings{gosa:70,
author = "G. H. Golub and M. A. Saunders",
year = "1970",
title = "Linear Least Squares and Quadratic Programming",
pages = "229--256",
booktitle = "Integer and Nonlinear Programming",
editor = "J. Abadie",
publisher = "North-Holland, Amsterdam",
kwds = "qrd, opt, quadpr"
}
@article{gost:73,
author = "G. H. Golub and G. P. Styan",
year = "1973",
title = "Numerical Computations for Univariate Linear Models",
journal = "J. Statist. Comput. Simul.",
volume = "2",
pages = "253-274",
kwds = "stat, regr, qrd"
}
@techreport{goun:69,
author = "G. H. Golub and R. Underwood",
year = "1969",
title = "Stationary Values of the Ratio of Quadratic Forms Subject to
Linear Constraints",
institution = "Computer Science Department, Stanford University, CA",
type = "{Tech. Report}",
number = "CS-142",
note = "",
kwds = "geig, regul"
}
@inproceedings{govl:79,
author = "G. H. Golub and C. F. {Van Loan}",
year = "1979",
title = "Total least squares",
pages = "69--76",
booktitle = "Smoothing Techniques for Curve Estimation",
editor = "T. Gasser and M. Rosenblatt",
publisher = "Springer-Verlag, New York",
kwds = "svd, tls"
}
@article{govl:80,
author = "G. H. Golub and C. F. {Van Loan}",
year = "1980",
title = "An Analysis of the Total Least Squares Problem",
journal = "SIAM J. Numer. Anal.",
volume = "17",
pages = "883-893",
kwds = "svd, tls"
}
@book{govl:89,
author = "G. H. Golub and C. F. {Van Loan}",
year = "1989",
title = "Matrix Computations, {\rm 2nd ed.}",
publisher = "Johns Hopkins University Press",
address = "Baltimore",
kwds = "la, survey"
}
@article{gova:61,
author = "G. H. Golub and R. S. Varga",
year = "1961",
title = "{Chebyshev} semi-iterative methods, successive Overrelaxation
Iterative Methods and Second Order {Richardson} Iterative
Methods, {Parts I and II}",
journal = "Numer. Math.",
volume = "3",
pages = "147--168",
kwds = "iter"
}
@inproceedings{gowi:65,
author = "G. H. Golub and J. H. Wilkinson",
year = "1965",
title = "Iterative Refinement of Least Squares Solutions",
booktitle = "Proceedings of the IFIP Congress 65, New York, 1965",
editor = "W. A. Kalenich",
pages = "606--607",
publisher = "Spartan Books, Washington",
kwds = "ir, qrd, err"
}
@article{gowi:66,
author = "G. H. Golub and J. H. Wilkinson",
year = "1966",
title = "Note on the Iterative Refinement of Least Squares Solution",
journal = "Numer. Math.",
volume = "9",
pages = "139-148",
kwds = "ir, qrd, err"
}
@article{gozh:94,
author = "G. H. Golub and H. Zha",
year = "1994",
title = "Perturbation Analysis of the Canonical Correlation of Matrix Pairs",
journal = "Linear Algebra Appl.",
volume = "210",
pages = "3--28",
kwds = "pert, err"
}
gr-
@article{grha:84,
author = "W. H. Gragg and W. J. Harrod",
year = "1984",
title = "The Numerically Stable Reconstruction of {Jacobi} Matrices
from Spectral Data",
journal = "Numer. Math.",
volume = "44",
pages = "317--335",
kwds = "eigv"
}
@article{gram:1883,
author = "J. P. Gram",
year = "1883",
title = "{\"U}ber die {E}ntwickelung reeller {F}unktionen in {R}eihen
mittelst der {M}ethode der kleinsten {Q}uadrate",
journal = "J. Reine Angew. Math.",
volume = "94",
pages = "41--73",
kwds = "grsch"
}
@article{gree:89,
author = "A. Greenbaum",
year = "1989",
title = "Behavior of Slightly Perturbed {Lanczos} and
Conjugate-gradient Recurrences",
journal = "Linear Algebra Appl.",
volume = "113",
pages = "7--63",
kwds = "cg, lanczos"
}
@article{grst:92,
author = "A. Greenbaum and Z. Strakos",
year = "1992",
title = "Predicting the Behavior of Finite Precision {Lanczos} and
Conjugate Gradient Computations",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "13",
pages = "121-137",
kwds = "cg, lanczos"
}
@article{grev:66,
author = "T. E. Greville",
year = "1966",
title = "Note on the Generalized Inverse of a Matrix Product",
journal = "SIAM Review",
volume = "8",
pages = "518--521",
kwds = "ginv"
}
@book{grhi:85,
author = "P. Griffiths and I. D. Hill",
year = "1985",
title = "Applied Statistical Algorithms",
publisher = "Ellis Horwood Ltd.",
address = "Chichester, UK",
kwds = "stat"
}
@article{grle:81,
author = "R.G. Grimes and J.G. Lewis",
year = "1981",
title = "Condition Number Estimation for Sparse Matrices",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "2",
pages = "384--388",
kwds = "cond, sparse"
}
@article{gros:80,
author = "E. Grosse",
year = "1980",
title = "Tensor Spline Approximations",
journal = "Linear Algebra Appl.",
volume = "34",
pages = "29--41",
kwds = "sparse, kron"
}
@techreport{guei:92,
author = "M. Gu and S. C. Eisenstat",
year = "1992",
title = "A Divide-And-Conquer Algorithm for the Bidiagonal {SVD}",
institution = "Department of Computer Science, Yale University",
address = "New Haven, CT",
type = "{Tech. Report}",
number = "YALEU/DCS/RR-933",
kwds = "svd, downd",
}
@techreport{guei:93b,
author = "M. Gu and S. C. Eisenstat",
year = "1993",
title = "A Stable and Fast Algorithm for Updating the Singular Value Decomposition",
institution = "Department of Computer Science, Yale University",
address = "New Haven, CT",
type = "{Tech. Report}",
number = "YALEU/DCS/RR-966",
kwds = "svd, downd",
}
@techreport{guei:94,
author = "M. Gu and S. C. Eisenstat",
year = "1994",
title = "An Efficient Algorithm for Computing a Strong
Rank-Revealing {QR} Decomposition",
institution = "Department of Computer Science, Yale University",
address = "New Haven, CT",
type = "{Tech. Report}",
number = "YALEU/DCS/RR-967",
kwds = "rrqrd",
}
@article{guei:95,
author = "M. Gu and S. C. Eisenstat",
year = "1995",
title = "A Divide-and-Conquer Algorithm for the Bidiagonal {SVD}",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "16",
pages = "79--92",
kwds = "svd, prll",
}
@article{guei:95a,
author = "M. Gu and S. C. Eisenstat",
year = "1995",
title = "Downdating the Singular Value Decomposition",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "16",
pages = "793--810",
kwds = "svd, downd",
}
@phdthesis{gull:93,
author = "M. Gulliksson",
year = "1993",
title = "Algorithms for Overdetermined Systems of Equations",
school = "Institute of Information Processing, University of Ume{\aa}",
address = "Ume{\aa}, Sweden",
type = "{Ph. D.} thesis",
number = "UMINF 93-11",
kwds = "qrd, wlsq,nlsq"
}
@article{gull:94,
author = "M. Gulliksson",
year = "1994",
title = "Iterative Refinement for Constrained and Weighted Linear Least Squares",
journal = "BIT",
volume = "34",
pages = "239--253",
kwds = "err, ir, wlsq, qrd",
}
@article{gull:95,
author = "M. Gulliksson",
year = "1995",
title = "Backward Error Analysis for the Constrained and Weighted Linear
Least Squares Problem when Using the Weighted {QR} Decomposition",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "16",
pages = "675--687",
kwds = "err, wlsq, qrd",
}
@article{gull:95b,
author = "M. Gulliksson",
year = "1995",
title = "On Modified {Gram-Schmidt} for Weighted and Constrained
Linear Least Squares",
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number = "UMINF--93-11",
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institution = "Institute of Information Processing, University of Ume\aa",
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author = "P. C. Hansen",
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kwds = "illp, regul"
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AUTHOR = {HANSEN, P.C.},
TITLE = {Rank-deficient and discrete ill-posed problems},
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NOTE = {Numerical aspects of linear inversion},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
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PAGES = {xvi+247},
ISBN = {0-89871-403-6},
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author = "P. Pazelt",
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title = "{Ein Algoritmus zur L{\"o}sung von Ausgleichproblemen mit
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type = "Diplomarbeit",
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author = "D. J. Pierce and J. G. Lewis",
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title = "Sparse Multifrontal Rank Revealing {QR} Factorization",
institution = "Boeing Information and Support Services",
address = "Seattle, WA",
type = "{Tech. Report}",
number = "MEA-TR-193-Revised",
kwds = "sparse, qrd"
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pl-
@article{plac:72,
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type = "{Tech. Report}",
number = "\#982",
kwds = "toep, rls"
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po-
@article{pojv:94,
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pu-
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ra- re-
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%re-
@article{reic:91,
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@article{reag:91,
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kwds = "sparse, iter, cg"
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%ri-
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%ru-
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rut-
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sa-
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sc-
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address = "Germany",
type = "{Tech. Report}",
number = "Preprint No. 30",
kwds = "qrd, constr, upd, soft, grsch"
}
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}
sk-
@article{skee:79,
author = "R. D. Skeel",
year = "1979",
title = "Scaling for Numerical Stability in {Gaussian} Elimination",
journal = "J. Assoc. Comput. Mach.",
volume = "26",
pages = "494--526",
kwds = "scale, lud"
}
@article{skee:80,
author = "R. D. Skeel",
year = "1980",
title = "Iterative Refinement Implies Numerical Stability for {Gaussian}
Elimination",
journal = "Math. Comp.",
volume = "35",
pages = "817--832",
kwds = "ir, lud"
}
sl-
@article{slui:69,
author = "A. van der Sluis",
year = "1969",
title = "Condition Numbers and Equilibration of Matrices",
journal = "Numer. Math.",
volume = "14",
pages = "14--23",
kwds = "pert, cond, scale"
}
@article{slui:75,
author = "A. van der Sluis",
year = "1975",
title = "Stability of the Solutions of Linear Least Squares
Problems",
journal = "Numer. Math.",
volume = "23",
pages = "241--254",
kwds = "err, pert"
}
@article{slve:79,
author = "A. van der Sluis and G. Veltkamp",
year = "1979",
title = "Restoring Rank and Consistency by Orthogonal Projection",
journal = "Linear Algebra Appl.",
volume = "28",
pages = "257--278",
kwds = "rank, orth"
}
@incollection{slvo:87,
author = "A. van der Sluis and H. van der Vorst",
year = "1987",
title = "Numerical Solution of Large Sparse Linear Equations and
Least Squares Problems",
booktitle = "Seismic Tomography",
editor = "G. Nolet",
publisher = "Reidel, Dordrecht, the Netherlands",
pages = "49--83",
kwds = "rank, orth"
}
@article{slvo:90,
author = "A. van der Sluis and H. van der Vorst",
year = "1990",
title = "{SIRT-} and {CG-}Type Methods for Iterative Solution of
Sparse Linear Least-Squares Problems",
journal = "Linear Algebra Appl.",
volume = "130",
pages = "257--302",
kwds = "iter, cg"
}
@phdthesis{sode:93,
author = "I. S{\"o}derquist",
year = "1993",
title = "Computing Parameters in Nonlinear Least Squares Models",
school = "University of Ume{\aa}",
institution = "Department of Computer Science",
address = "Sweden",
type = "{Ph. D.} thesis",
kwds = "nlsq, constr"
}
%st-
@article{spat:82,
author = "H. Sp{\"a}th",
year = "1982",
title = "On Discrete Linear Orthogonal $L_p$ Approximation",
journal = "Z. Angew. Math. Mech.",
volume = "62",
pages = "354--355",
kwds = "nlsq, geom"
}
@article{spat:86,
author = "H. Sp{\"a}th",
year = "1986",
title = "Orthogonal Least Squares Fitting with Linear Manifolds",
journal = "Numer. Math.",
volume = "48",
pages = "441--445",
kwds = "nlsq, geom"
}
@article{spat:90,
author = "H. Sp{\"a}th",
year = "1990",
title = "Modified {Gram-Schmid}t for Solving Linear Least Squares Problems
is Equivalent to {Gaussian} Elimination for the Normal Equations",
journal = "Appl. Math.",
volume = "20",
pages = "587--589",
kwds = "ne, grsch"
}
@book{spat:92,
author = "H. Sp{\"a}th",
year = "1992",
title = "Mathematical Algorithms for Linear Regression",
publisher = "Academic Press",
address = "New York",
kwds = "regr, stat, survey"
}
@article{stew:69,
author = "G.W. STEWART",
year = "1969",
title = "On the Continuity of the Generalized Inverse",
journal = "SIAM J. Appl. Math.",
volume = "17",
pages = "33--45",
kwds = "nla, pert, ginv"
}
@book{stew:73,
author = "G.W. STEWART",
year = "1973",
title = "Introduction to Matrix Computations",
publisher = "Academic Press",
address = "New York",
kwds = "nla, survey"
}
@article{stew:76,
author = "G.W. STEWART",
year = "1976",
title = "The Economical Storage of Plane Rotations",
journal = "Numer. Math.",
volume = "25",
pages = "137--138.",
kwds = "qrd, rot"
}
@article{stew:77,
author = "G.W. STEWART",
year = "1977",
title = "Perturbation Bounds for the {QR} Factorization of a Matrix",
journal = "SIAM J. Numer. Anal.",
volume = "14",
pages = "509--518",
kwds = "err, qrd"
}
@inproceedings{stew:77a,
author = "G.W. STEWART",
year = "1977",
title = "Research Development and {LINPACK}",
booktitle = "Mathematical Software III",
editor = "J. R. Rice",
publisher = "Academic Press, New York",
pages = "1-14",
kwds = "soft, pert, survey"
}
@article{stew:77b,
author = "G.W. STEWART",
year = "1977",
title = "On the Perturbation of Pseudo-Inverses, Projections, and Linear
Least Squares Problems",
journal = "SIAM Review",
volume = "19",
pages = "634-662",
kwds = "nla, pert, ginv, orth"
}
@article{stew:79,
author = "G.W. STEWART",
year = "1979",
title = "The Effects of Rounding Error on an Algorithm for Downdating a
{Cholesky} Factorization",
journal = "J. Inst. Maths. Applic.",
volume = "23",
pages = "203-213",
kwds = "nla, err, downd, chol"
}
@article{stew:79a,
author = "G.W. STEWART",
year = "1979",
title = "A Note on the Perturbation of Singular Values",
journal = "Linear Algebra Appl.",
volume = "28",
pages = "213--216",
kwds = "svd, pert"
}
@article{stew:80,
author = "G.W. STEWART",
year = "1980",
title = "The Efficient Generation of Random Orthogonal Matrices
with an Application to Condition Estimators",
journal = "SIAM J. Numer. Anal.",
volume = "17",
pages = "403--404",
kwds = "nla, rand, qrd, cond, orth"
}
@article{stew:81,
author = "G.W. STEWART",
year = "1981",
title = "On the Implicit Deflation of Nearly Singular Systems of Linear
Equations",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "2",
pages = "136--140",
kwds = "rank,ginv"
}
@article{stew:82,
author = "G.W. STEWART",
year = "1982",
title = "Computing the {CS} Decomposition of a
Partitioned Orthogonal Matrix",
journal = "Numer. Math.",
volume = "40",
pages = "297-306",
kwds = "svd, csd, orth"
}
@inproceedings{stew:83,
author = "G.W. STEWART",
year = "1983",
title = "A Method for Computing the Generalized Singular Value
Decomposition",
pages = "207--220",
booktitle = "Matrix Pencils. Proceedings, Pite Havsbad, 1982",
editor = "B. K{\aa}gstr{\"o}m and A. Ruhe",
publisher = "Springer-Verlag, Berlin",
series = "Lecture Notes in Mathematics",
volume = "973",
kwds = "gsvd"
}
@techreport{stew:83a,
author = "G.W. STEWART",
year = "1983",
title = "A Generalization of the {Eckart-Young} Approximation Theorem",
institution = "Department of Computer Science,
University of Maryland",
address = "College Park, MD",
number = "TR-1325",
kwds = "pert, max, tls"
}
@techreport{stew:83b,
author = "G.W. STEWART",
year = "1983",
title = "A Nonlinear Version of {Gauss's} Minimum Variance Theorem
with Applications to an Errors-in-the-Variables Model",
institution = "Department of Computer Science, University of Maryland",
address = "College Park, MD",
type = "{Tech. Report}",
number = "TR-1263",
kwds = "tls, regr, nlsq, pert"
}
@article{stew:84,
author = "G.W. STEWART",
year = "1984",
title = "Rank Degeneracy",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "5",
pages = "403--413",
kwds = "rank, rrqrd"
}
@article{stew:84a,
author = "G.W. STEWART",
year = "1984",
title = "On the Invariance of Perturbed Null Vectors under Column Scaling",
journal = "Numer. Math.",
volume = "44",
pages = "61--65",
kwds = "scale, pert"
}
@article{stew:84b,
author = "G.W. STEWART",
year = "1984",
title = "On the Asymptotic Behavior of Scaled Singular and {QR} Decompositions",
journal = "Math. Comp.",
volume = "43(168)",
pages = "168--489",
kwds = "rank, rrqrd"
}
@article{stew:87,
author = "G.W. STEWART",
year = "1987",
title = "Collinearity and Least Squares Regression",
journal = "Statistical Science",
volume = "2",
pages = "68-100",
kwds = "stat, regr, tls, rank"
}
@article{stew:90,
author = "G.W. STEWART",
year = "1990",
title = "On Scaled Projections and Pseudoinverses",
journal = "Linear Algebra Appl.",
volume = "132",
pages = "115--117",
kwds = "wlsq"
}
@inproceedings{stew:90a,
author = "G.W. STEWART",
year = "1990",
title = "Perturbation Theory and Least Squares with Errors in
the Variables",
booktitle = "Contemporary Mathematics 112: Statistical
Analysis of Measurement Error Models and
Applications",
editor = "P. J. Brown and W. A. Fuller",
pages = "171--181",
publisher = "American Mathematical Society, Providence, RI",
kwds = "stat, pert, regr"
}
@techreport{stew:91,
author = "G.W. STEWART",
year = "1991",
title = "On an Algorithm for Refining a Rank-Revealing {URV}
Factorization and a Perturbation Theorem for Singular Values",
institution = "Department of Computer Science, University of Maryland",
address = "College Park, MD",
type = "{Tech. Report}",
number = "UMIACS-TR-91-38, CS-TR-2626",
kwds = "rrqrd, pert, svd"
}
@article{stew:92,
author = "G.W. STEWART",
year = "1992",
title = "An Updating Algorithm for Subspace Tracking",
journal = "IEEE Trans. Signal Processing",
volume = "40",
pages = "1535--1541",
kwds = "upd, rrqrd"
}
@article{stew:93a,
author = "G.W. STEWART",
year = "1993",
title = "Updating a Rank-Revealing {ULV} Decomposition",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "14",
pages = "494--499",
kwds = "upd, rrqrd"
}
@article{stew:93b,
author = "G.W. STEWART",
year = "1993",
title = "On the Perturbation of {LU}, {Cholesky}, and {QR} Factorizations",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "14",
pages = "1141--1145",
kwds = "pert, qrd, chol"
}
@article{stew:93c,
author = "G.W. STEWART",
year = "1993",
title = "On the Early History of the Singular Value Decomposition",
journal = "SIAM Review",
volume = "35",
pages = "551--566",
kwds = "svd, hist"
}
@techreport{stew:94,
author = "G.W. STEWART",
year = "1994",
title = "On the Stability of Sequential Updates and Downdates",
institution = "Department of Computer Science, University of Maryland",
address = "College Park, MD",
type = "{Tech. Report}",
number = "CS-TR-3238",
kwds = "downd, stab"
}
@book{stsu:90,
author = "G.W. STEWART and J.{-G}. SUN",
year = "1990",
title = "Matrix Perturbation Theory",
publisher = "Academic Press",
address = "Boston",
kwds = "pert, survey"
}
@article{stie:52,
author = "E. Stiefel",
year = "1952/53",
title = "{Ausgleichung ohne Aufstellung der Gausschen Normalgleichungen}",
journal = "Wiss. Z. Tech. Hochsch. Dresden",
volume = "2",
pages = "441--442",
kwds = "cg, iter"
}
@article{stie:77,
author = "S. M. Stigler",
year = "1977",
title = "An Attack on {Gauss}, Published by {Legendre} in {\rm 1820}",
journal = "Hist. Math.",
volume = "4",
pages = "31--35",
kwds = "hist"
}
@article{stie:81,
author = "S. M. Stigler",
year = "1981",
title = "{Gauss} and the Invention of Least Squares",
journal = "Ann. Statist.",
volume = "9",
pages = "465--474",
kwds = "hist"
}
@article{stie:1887,
author = "T. J. Stieltjes",
year = "1887",
title = "Sur les racines de l'{\'e}quation $x_n=0$",
journal = "Acta. Math.",
volume = "9",
pages = "385--400",
kwds = "iter"
}
@article{stoe:71,
author = "J. Stoer",
year = "1971",
title = "On the Numerical Solution of Constrained Least Squares Problems",
journal = "SIAM J. Numer. Anal.",
volume = "8",
pages = "382--411",
kwds = "constr, upd"
}
@article{stra:91,
author = "Z. Strakos",
year = "1991",
title = "On the Real Convergence of the Conjugate Gradient Method",
journal = "Linear Algebra Appl.",
volume = "154/156",
pages = "535--549",
kwds = "cg, lanczos, iter"
}
@article{stra:74,
author = "C. N. Strand",
year = "1974",
title = "Theory and Methods Related to the Singular Function
Expansion and {Landweber's} Iteration for Integral
Equations of the First Kind",
journal = "SIAM J. Numer. Anal.",
volume = "11",
pages = "798--825",
kwds = "iter, regul"
}
%su-
@techreport{sunc:95,
author = "C. Sun",
year = "1995",
title = "Parallel Solution of Sparse Linear Least Squares Problems on
Distributed-Memory Multiprocessors",
institution = "Advanced Computing Research Institute, Cornell University",
address = "Ithaca, NY",
type = "{Tech. Report}",
number = "CTC95TR212, 05/95",
kwds = "sparse, qrd, prll"
}
@article{sunc:96,
author = "C. Sun",
year = "1996",
title = "Parallel Sparse Orthogonal Factorization on
Distributed-Memory Multiprocessors",
journal = "SIAM J. Sci. Comput.",
note = "to appear",
volume = "",
pages = "",
kwds = "sparse, qrd, prll"
}
@article{sun:91,
author = "J.-G. Sun",
year = "1991",
title = "Perturbation Bounds for the {Cholesky} and {QR} Factorizations",
journal = "BIT",
volume = "31",
pages = "341--352",
kwds = "pert, chol, qrd"
}
@article{sun:95,
author = "J.-G. Sun",
year = "1995",
title = "On Perturbation Bounds for the {QR} Factorization",
journal = "Linear Algebra Appl.",
volume = "215",
pages = "95--111",
kwds = "pert, qrd"
}
@article{sun:95a,
author = "J.-G. Sun",
year = "1995",
title = "Perturbation Analysis of the {Cholesky} Downdating and
{QR} Updating Problems",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "16",
pages = "760--775",
kwds = "err, pert, upd",
}
@article{sun:96,
author = "J.-G. Sun",
year = "1996",
title = "Optimal Backward Perturbation Bounds for the Linear {LS}
Problem With Multiple Right-Hand Sides",
journal = "IMA J. Numer. Anal.",
volume = "16",
pages = "1--11",
kwds = "err, pert",
}
%sw-
@article{swee:84,
author = "D. R. Sweet",
year = "1984",
title = "Fast {Toeplitz} Orthogonalization",
journal = "Numer. Math.",
volume = "43",
pages = "1--21",
kwds = "qrd, toep"
}
@article{swee:91,
author = "D. R. Sweet",
year = "1991",
title = "Fast Block {Toeplitz} Orthogonalization",
journal = "Numer. Math.",
volume = "58",
pages = "613--629",
kwds = "qrd, toep"
}
%ta-
@article{tana:71,
author = "K. Tanabe",
year = "1971",
title = "Projection Method for Solving a Singular System of
Linear Equations and its Applications",
journal = "Numer. Math.",
volume = "17",
pages = "203--214",
kwds = "iter, ginv"
}
@article{tang:94,
author = "P. T. P. Tang",
year = "1994",
title = "Dynamic Condition Estimation and {Rayleigh-Ritz} Approximation",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "331--346",
kwds = "cond"
}
@article{tago:81,
author = "W.-P. Tang and G. H. Golub",
year = "1987",
title = "The Block Decomposition of a {Vandermonde} Matrix and Its Applications",
journal = "BIT",
volume = "21",
pages = "505--517",
kwds = "block, vand"
}
@article{tarj:72,
author = "R. E. Tarjan",
year = "1972",
title = "Depth-first Search and Linear Graph Algorithms",
journal = "SIAM J. Comput.",
volume = "1",
pages = "146--159",
kwds = "sparse, graph"
}
@article{tewa:68,
author = "R. P. Tewarson",
year = "1968",
title = "A Computational Method for Evaluating Generalized Inverses",
journal = "Comput. J.",
volume = "10",
pages = "411--413",
kwds = "ginv"
}
@article{tiho:63,
author = "A.N. TIKHONOV",
year = "1963",
title = "Regularization of Incorrectly Posed Problems",
journal = "Soviet Math.",
volume = "4",
pages = "1624--1627",
kwds = "regul, survey"
}
@article{tiwa:67,
author = "W. F. Tinney and J. W. Walker",
year = "1967",
title = "Direct Solution of Sparse Network Equations by Optimally
Ordered Triangular Factorization",
journal = "Proc. IEEE",
volume = "55",
pages = "1801--1809",
kwds = "sparse"
}
@article{vest:91,
author = "N. Vempati and I. W. Slutsker and W. F. Tinney",
year = "1991",
title = "Enhancements to {Givens} Rotations for Power System State Estimation",
journal = "IEEE Trans. Power Systems",
volume = "6",
pages = "842--849",
kwds = "sparse"
}
@article{tsao:75,
author = "N.-K. Tsao",
year = "1975",
title = "A Note on Implementing the {Householder} Transformation",
journal = "SIAM J. Numer. Anal.",
volume = "12",
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kwds = "house"
}
@article{toin:87,
author = "P. L. Toint",
year = "1987",
title = "On Large Scale Nonlinear Least Squares Calculations",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "8",
pages = "416--435",
kwds = "sparse, nlsq"
}
@techreport{toin:87a,
author = "P. L. Toint",
year = "1987",
title = "{VE{\rm 10}AD} A routine for Large-Scale Nonlinear Least Squares",
type = "{Harwell} Subroutine Library",
institution = "AERE Harwell",
address = "Oxfordshire, UK",
kwds = "sparse, nlsq, soft"
}
@techreport{vhjs:76,
author = "J. {Van Heijst} and J. Jacobs and J. Scherders",
year = "1976",
title = "Kleinste-{Kvadraten} {Problemen}.",
institution = "Department of Mathematics, Eindhoven University of Technology",
address = "Eindhoven, the Netherlands",
type = "{Tech. Report}",
kwds = "iter, svd"
}
@phdthesis{vhuf:87,
author = "S. {Van Huffel}",
year = "1987",
title = "Analysis of the Total Least Squares Problem
and Its Use in Parameter Estimation",
school = "Katholieke Universiteit Leuven, Belgium",
institution = "ESAT Lab., Department of Electr. Eng.",
type = "{Ph. D.} thesis",
kwds = "tls, regr, thesis"
}
@article{vhuf:91,
author = "S. {Van Huffel}",
year = "1991",
title = "Iterative Algorithms for Computing the Singular Subspace
of a Matrix Associated with its Smallest Singular Values",
journal = "Linear Algebra Appl.",
volume = "154/156",
pages = "675--709",
kwds = "tls, iter"
}
@article{vhpa:95,
author = "S. {Van Huffel} and H. Park",
year = "1995",
title = "Efficient Reduction Algorithms for Bordered Band Matrices",
journal = "Numer. Linear Algebra Appl.",
volume = "2",
pages = "95--113",
kwds = "upd, svd"
}
@article{vhva:87,
author = "S. {Van Huffel} and J. Vandewalle",
year = "1987",
title = "Algebraic Relationships Between Classical Regression and Total
Least-squares Estimation",
journal = "Linear Algebra Appl.",
volume = "93",
pages = "149--162",
kwds = "tls"
}
@article{vhva:88a,
author = "S. {Van Huffel} and J. Vandewalle",
year = "1988",
title = "Analysis and Solution of the Nongeneric Total Least Squares Problem",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "9",
pages = "360--372",
kwds = "tls"
}
@article{vhva:89,
author = "S. {Van Huffel} and J. Vandewalle",
year = "1989",
title = "Analysis and Properties of the Generalized Total Least Squares
Problem {$AX \approx B$} when Some or all Columns in {$A$} are Subject
to Error",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "10",
pages = "294--315",
kwds = "tls"
}
@book{vhva:91,
author = "S. {Van Huffel} and J. Vandewalle",
year = "1991",
title = "The Total Least Squares Problem: Computational Aspects and Analysis",
publisher = "SIAM",
series = "Frontiers in Applied Mathematics",
volume = "9",
address = "Philadelphia",
kwds = "tls, survey"
}
@article{vhvh:87,
author = "S. {Van Huffel} and J. Vandewalle and A. Haegemans",
year = "1987",
title = "An Efficient and Reliable Algorithm for Computing the Singular
Subspace of a Matrix, Associated with its Smallest Singular Values",
journal = "J. Comp. Appl. Math.",
volume = "19",
pages = "313--330",
kwds = "tls, svd"
}
@article{vhzh:91,
author = "S. {Van Huffel} and H. Zha",
year = "1991",
title = "The Restricted Total Least Squares Problem: Formulation,
Algorithm, and Properties",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "12",
pages = "292--309",
kwds = "tls, svd"
}
@article{vhzh:93,
author = "S. {Van Huffel} and H. Zha",
year = "1993",
title = "An Efficient Total Least Squares Algorithm Based on a Rank
Revealing Two-sided Orthogonal Decomposition",
journal = "Numer. Algorithms",
volume = "4",
pages = "101--133",
kwds = "tls, svd"
}
@article{vanl:76,
author = "C. F. {Van Loan}",
year = "1976",
title = "Generalizing the Singular Value Decomposition",
journal = "SIAM J. Numer. Anal.",
volume = "13",
pages = "76--83",
kwds = "gsvd"
}
@inproceedings{vanl:83,
author = "C. F. {Van Loan}",
year = "1983",
title = "A Generalized {SVD} Analysis of Some Weighting Methods for
Equality Constrained Least Squares",
pages = "245--262",
booktitle = "Matrix Pencils. Proceedings, Pite Havsbad, 1982",
editor = "B. K{\aa}gstr{\"o}m and A. Ruhe",
publisher = "Springer-Verlag, Berlin",
series = "Lecture Notes in Mathematics",
volume = "973",
kwds = "constr, wlsq"
}
@article{vanl:85,
author = "C. F. {Van Loan}",
year = "1985",
title = "Computing the {CS} and the Generalized Singular Value Decomposition",
journal = "Numer. Math.",
volume = "46",
pages = "479--492",
kwds = "csd, gsvd"
}
@article{vanl:85a,
author = "C. F. {Van Loan}",
year = "1985",
title = "On the Method of Weighting for Equality Constrained Least Squares",
journal = "SIAM J. Numer. Anal.",
volume = "22",
pages = "851--864",
kwds = "constr, wlsq"
}
@book{vanl:92,
author = "C. F. {Van Loan}",
year = "1992",
title = "Computational Frameworks for the {Fourier} Transform",
publisher = "SIAM",
series = "Frontiers in Applied Mathematics",
volume = "10",
address = "Philadelphia",
kwds = "fft, survey"
}
@article{vara:73,
author = "J.M. Varah",
year = "1973",
title = "On the Numerical Solution of Ill-conditioned Linear Systems with
Applications to Ill-posed Problems",
journal = "SIAM J. Numer. Anal.",
volume = "10",
pages = "257--267",
kwds = "illp, regul"
}
@article{vara:75,
author = "J.M. Varah",
year = "1975",
title = "A Lower Bound for the Smallest Singular Value of a Matrix",
journal = "Linear Algebra Appl.",
volume = "11",
pages = "1--2",
kwds = "cond, svd"
}
@article{vara:79,
author = "J.M. Varah",
year = "1979",
title = "A Practical Examination of some Numerical Methods for Linear
Discrete Ill-posed Problems",
journal = "SIAM Review",
volume = "21",
pages = "100--111",
kwds = "illp, regul"
}
@article{vara:94,
author = "J.M. Varah",
year = "1994",
title = "Backward Error Estimates for {Toeplitz} Systems",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "408--417",
kwds = "err, toep"
}
@book{varg:62,
author = "R. S. Varga",
year = "1962",
title = "Matrix Iterative Analysis",
publisher = "Prentice-Hall",
address = "Englewood Cliffs, NJ",
kwds = "iter, survey"
}
@article{vava:94,
author = "S. A. Vavasis",
year = "1994",
title = "Stable Numerical Algorithms for Equilibrium Systems",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "1108--1131",
kwds = "wlsq"
}
@phdthesis{matt:93,
author = "U. von MATT",
year = "1993",
title = "Large Constrained Quadratic Problems",
school = "Institute for Scientific Computing, ETH",
address = "Z{\"u}rich, Switzerland",
type = "{Ph. D.} thesis",
kwds = "constr, nlsq"
}
@inproceedings{matt:95,
author = "U. von Matt",
year = "1995",
title = "The Orthogonal {QD}-Algorithm",
booktitle = "{SVD} and Signal Processing, III: Algorithms,
Architectures and Applications",
editor = "M. Moonen and B. {De Moor}",
pages = "99--106",
publisher = "Elsevier, Amsterdam",
kwds = "svd"
}
@phdthesis{wald:94,
author = "B. Wald\'en",
year = "1994",
title = "Least Squares Methods and Application in Robotics",
school = "Department of Mathematics, Link{\"o}ping University",
address = "Sweden",
type = "{Ph. D.} thesis",
kwds = "regul, nlsq"
}
@article{waks:95,
author = "B. Wald\'en and R. Karlsson and J.-G. Sun",
year = "1995",
title = "Optimal Backward Perturbation Bounds for the Linear Least
Squares Problem",
journal = "Numer. Linear Algebra Appl.",
volume = "2",
pages = "271--286",
kwds = "err, pert"
}
@article{wamp:69,
author = "R. H. Wampler",
year = "1969",
title = "An Evaluation of Linear Least Squares Computer Programs",
journal = "J. Res. Nat. Bur. Standards",
volume = "73B",
pages = "59--90",
kwds = "stat, regr, err, grsch, test"
}
@article{wamp:70,
author = "R. H. Wampler",
year = "1970",
title = "A Report on the Accuracy of some Widely Used Least Squares
Computer Programs",
journal = "J. Amer. Statist. Assoc.",
volume = "65",
pages = "549--565",
kwds = "err, test, grsch"
}
@inproceedings{wamp:72,
author = "R. H. Wampler",
year = "1972",
title = "Some Recent Developments in Linear Least Squares Computations",
booktitle = "Proceedings of the Computer Science and Statistics:
Sixth Annual Symposium on the Interface",
editor = "M.E. Tarter",
publisher = "Academic Press, New York",
pages = "94--110",
kwds = "grsch, stat"
}
@article{wamp:79,
author = "R. H. Wampler",
year = "1979",
title = "Solutions to Weighted Least Squares Problems by
Modified {Gram--Schmidt} with Iterative Refinement",
journal = "ACM Trans. Math. Software",
volume = "5",
pages = "457--465",
kwds = "qrd, grsch, ir, wlsq"
}
@article{wamp:79a,
author = "R. H. Wampler",
year = "1979",
title = "{L{\rm 2}A} and {L{\rm 2}B}, Weighted Least Squares Solutions by
Modified {Gram--Schmidt} with Iterative Refinement",
journal = "ACM Trans. Math. Software",
volume = "5",
pages = "494--99",
kwds = "qrd, grsch, ir, wlsq, soft, weights"
}
@article{wamp:80,
author = "R. H. Wampler",
year = "1980",
title = "Test Procedures and Test Problems for Least Squares Algorithms",
journal = "J. Econom.",
volume = "12",
pages = "3--22",
kwds = "test"
}
@phdthesis{wang:93,
author = "X. Wang",
year = "1993",
title = "Incomplete Factorization Preconditioning for Least Squares Problems",
school = "Department of Mathematics, University of Illinois at Urbana-Champaign",
address = "Urbana, IL",
type = "{Ph. D.} thesis",
kwds = "iter, precond"
}
@article{wagb:96,
author = "X. Wang and K. A. Gallivan and R. Bramley",
year = "1996",
title = "{CIMGS}: An Incomplete Orthogonal Factorization Preconditionier",
journal = "SIAM J. Sci. Comput.",
volume = "17",
note = "to appear",
pages = "",
kwds = "iter, precond"
}
@inproceedings{wats:84,
author = "G. A. Watson",
year = "1984",
title = "The Numerical Solution of Total $\ell_p$ Approximation
Problems",
booktitle = " Numerical Analysis. Proceedings of the 10th Biennial
Conference Dundee, Scotland 1983",
editor ="D.F. Griffiths",
publisher = "Springer-Verlag, Berlin",
series = " Lecture Notes in Mathematics",
volume = "630",
pages = "72--105",
kwds = "rob"
}
@techreport{wedi:72a,
author = "P.-{\AA}. Wedin",
year = "1972",
title = "The Non-Linear Least Squares Problem from a Numerical
Point of View. {I} {Geometrical} Properties",
institution = "Department of Computer Sciences, Lund University",
address = "Lund, Sweden",
type = "{Tech. Report}",
number = "",
kwds = "nlsq, pert"
}
@article{wedi:72,
author = "P.-{\AA}. Wedin",
year = "1972",
title = "Perturbation Bounds in Connection with the Singular Value
Decomposition",
journal = "BIT",
volume = "12",
pages = "99--111",
kwds = "svd, pert, rank"
}
@article{wedi:73a,
author = "P.-{\AA}. Wedin",
year = "1973",
title = "On the Almost Rank Deficient Case of the Least
Squares Problem",
journal = "BIT",
volume = "13",
pages = "344--354",
kwds = "pert, rank, svd"
}
@article{wedi:73b,
author = "P.-{\AA}. Wedin",
year = "1973",
title = "Perturbation Theory for Pseudo-Inverses",
journal = "BIT",
volume = "13",
pages = "217--232",
kwds = "pert, rank, ginv"
}
@techreport{wedi:74,
author = "P.-{\AA}. Wedin",
year = "1974",
title = "On the {Gauss-Newton} Method for the Nonlinear Least Squares Problems",
institution = "Institute for Applied Mathematics",
address = "Stockholm, Sweden",
type = "Working Paper",
number = "24",
kwds = "nlsq"
}
@techreport{wedi:78,
author = "P.-{\AA}. Wedin",
year = "1978",
title = "Perturbations of the Pseudo-Inverse and the Linear Least
Squares Problem Analysed with Suitable Matrix Decompositions",
institution = "Institute of Information Processing, University of Ume\aa",
address = "Sweden",
type = "{Tech. Report}",
number = "UMINF--69.78",
kwds = "pert, ginv"
}
@techreport{wedi:79,
author = "P.-{\AA}. Wedin",
year = "1979",
title = "Notes on the Constrained Linear Least Squares Problem. {A} New
Approach Based on Generalized Inverses",
institution = "Institute of Information Processing, University of Ume\aa",
address = "Sweden",
type = "{Tech. Report}",
number = "UMINF--75.79",
kwds = "constr, ginv"
}
@techreport{wedi:85,
author = "P.-{\AA}. Wedin",
year = "1985",
title = "Perturbation Theory and Condition Numbers for Generalized
and Constrained Linear Least Squares Problems",
institution = "Institute of Information Processing, University of Ume\aa",
address = "Sweden",
type = "{Tech. Report}",
number = "UMINF--125.85",
kwds = "pert, ginv, constr, cond, wlsq"
}
@article{wei:90,
author = "M. Wei",
year = "1990",
title = "Perturbation of the Least Squares Problem",
journal = "Linear Algebra Appl.",
volume = "141",
pages = "177--182",
kwds = "pert"
}
@article{wei:92,
author = "M. Wei",
year = "1992",
title = "The Analysis for the Total Least Squares Problems with
More than One Solution",
journal = "SIAM J. Matrix. Anal. Appl.",
volume = "13",
pages = "746--763",
kwds = "tls, pert"
}
@article{wei:92a,
author = "M. Wei",
year = "1992",
title = "Algebraic Relations Between the Total Least Squares and
Least Squares Problems with More than One Solution",
journal = "Numer. Math.",
volume = "62",
pages = "123--148",
kwds = "tls, pert"
}
@article{wei:92b,
author = "M. Wei",
year = "1992",
title = "Algebraic Properties of the Rank-Deficient Equality
Constrained and Weighted Least Squares Problem",
journal = "Linear Algebra Appl.",
volume = "161",
pages = "27--43",
kwds = "constr, pert"
}
@article{wei:92c,
author = "M. Wei",
year = "1992",
title = "Perturbation Theory for the Rank-Deficient Equality
Constrained and Weighted Least Squares Problem",
journal = "SIAM J. Numer. Anal.",
volume = "29",
pages = "1462--1481",
kwds = "constr, pert"
}
@article{weke:71,
author = "P. R. Weil and P. C. Kettler",
year = "1971",
title = "Rearranging Matrices to Block-angular Form for Decomposition
(and other) Algorithms",
journal = "Management Sci.",
volume = "18",
pages = "98--108",
kwds = "sparse, perm"
}
%wi-
@book{wilk:63,
author = "J. H. Wilkinson",
year = "1963",
title = "Rounding Errors in Algebraic Processes",
publisher = "Prentice-Hall",
address = "Englewood Cliffs, NJ",
kwds = "err, lud, survey"
}
@book{wilk:65,
author = "J. H. Wilkinson",
year = "1965",
title = "The Algebraic Eigenvalue Problem",
publisher = "Clarendon Press",
address = "Oxford, UK",
kwds = "nla, eig, err, survey"
}
@incollection{wilk:65a,
author = "J. H. Wilkinson",
year = "1965",
title = "Error Analysis of Transformations Based on the Use of Matrices
of the Form {$I-2xx^{\rm H}$}",
booktitle = "Error in Digital Computation",
editor = "L. B. Rall",
publisher = "John Wiley, New York",
pages = "77--101",
kwds = "err, house"
}
@inproceedings{wilk:68,
author = "J. H. Wilkinson",
year = "1968",
title = "A Priori Error Analysis of Algebraic Processes",
booktitle = "Proceedings International Congress Math.",
publisher = "Izdat. Mir, Moscow",
pages = "629--639.",
kwds = "chol, err"
}
@article{wilk:71,
author = "J. H. Wilkinson",
year = "1971",
title = "Modern Error Analysis",
journal = "SIAM Review",
volume = "13",
pages = "548--568",
kwds = "error, hist, survey"
}
@techreport{wilk:77a,
author = "J. H. Wilkinson",
year = "1977",
title = "The Use of Single Precision-Residuals in the Solution of
Linear Systems",
institution = "National Physical Laboratory",
address = "Teddington, UK",
type = "unpublished report",
kwds = "ir, err"
}
@inproceedings{wilk:77,
author = "J. H. Wilkinson",
year = "1977",
title = "Some recent advances in numerical linear algebra",
pages = "1--53",
booktitle = "The State of the Art in Numerical Analysis",
editor = "D.A.H. Jacobs",
publisher = "Academic Press, New York",
kwds = "nla"
}
@article{wilk:86,
author = "J. H. Wilkinson",
year = "1986",
title = "Error Analysis Revisited",
journal = "IMA Bulletin",
volume = "22",
pages = "192--200",
kwds = "error, hist"
}
@book{wire:71,
author = "J. H. Wilkinson and C. Reinsch",
year = "1971",
title = "Handbook for Automatic Computation Volume II. Linear Algebra",
publisher = "Springer-Verlag",
address = "New York",
kwds = "nla, soft, eig, svd, qrd, survey"
}
@article{witt:36,
author = "H. Wittmeyer",
year = "1936",
title = "{E}influss der {{\"A}nderung} einer {M}atrix auf der {L}{\"o}sung
des zugeh{\"o}rigen {G}leichungssystems, sowie auf die charakterischen
{Z}ahlen und die {E}igenvektoren",
journal = "Z. Angew. Math. Mech.",
volume = "16",
pages = "189--199",
kwds = "err"
}
@article{wrho:85,
author = "S. J. Wright and J. N. Holt",
year = "1985",
title = "Algorithms for Nonlinear Least Squares with Linear Inequality
Constraints",
journal = "SIAM J. Sci. Statist. Comput.",
volume = "6",
pages = "1033--1048",
kwds = "nlsq, constr"
}
@article{yopa:96,
author = "K. Yoo and H. Park",
year = "1996",
title = "Accurate Downdating of a modified {Gram-Schmidt QR} Decomposition",
journal = "BIT",
volume = "36",
pages = "166--181",
kwds = "downd, qrd, grsch"
}
@book{youn:71,
author = "D. M. Young",
year = "1971",
title = "Iterative Solution of Large Linear Systems",
publisher = "Academic Press",
address = "New York",
kwds = "iter, survey"
}
@phdthesis{yuan:93,
author = "J.-Y. Yuan",
year = "1993",
title = "Iterative Methods for the Generalized Least-Squares Problem",
school = "Instituto de Matem\'atica Pura e Aplicada",
address = " Rio de Janeiro, Brazil",
type = "{Ph. D.} thesis",
kwds = "iter, thesis"
}
@article{yuan:93a,
author = "J.-Y. Yuan",
year = "1993",
title = "The Convergence of the {\rm 2}-block {SAOR} Method for the
Least-Squares Problem ",
journal = "Appl. Numer. Math.",
volume = "11",
pages = "429--441",
kwds = "iter"
}
%za-
@article{zha:91,
author = "H. Zha",
year = "1991",
title = "Implicit {QR} Factorization of a Product of Three Matrices",
journal = "BIT",
volume = "31",
pages = "375--379",
kwds = "qrd, ginv, test"
}
@article{zha:91a,
author = "H. Zha",
year = "1991",
title = "Restricted Singular Value Decomposition of Matrix Triples",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "12",
pages = "172--194",
kwds = "qrd, ginv, test"
}
@article{zha:92,
author = "H. Zha",
year = "1992",
title = "A Two-way Chasing Scheme for Reducing a Symmetric
Arrowhead Matrix to Tridiagonal Form",
journal = "J. Numerical Linear Algebra Appl.",
volume = "1",
pages = "49--57",
kwds = "svd, upd"
}
@article{zha:93,
author = "H. Zha",
year = "1993",
title = "A Componentwise Perturbation Analysis of the {$QR$} Decomposition",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "14",
pages = "1124--1131",
kwds = "qrd, pert"
}
@incollection{zele:62,
author = "M. Zelen",
year = "1962",
title = "Linear Estimation and Related Topics",
booktitle = "Survey of Numerical Analysis",
editor = "J. Todd",
publisher = "McGraw-Hill, New York",
pages = "558--584",
kwds = "stat, hist"
}
@article{ziel:86,
author = "G. Zielke",
year = "1986",
title = "Report on Test Matrices for Generalized Inverses",
journal = "Computing",
volume = "36",
pages = "105--162",
kwds = "ginv, test"
}
@phdthesis{zimm:77,
author = "P. Zimmermann",
year = "1977",
title = "{Ein Algorithmus zur L{\"o}sung linearer Least Squares Probleme
mit unteren und oberen Schranken als Nebenbedingungen}",
school = "Universit{\"a}t W{\"u}rzburg",
address = "Germany",
institution = "Institut f{\"u}r Angewandte Mathematik und Statistik",
type = "{D}iplomarbeit",
kwds = "constr"
}
@article{zlat:82,
author = "Z. Zlatev",
year = "1982",
title = "Comparison of Two Pivotal Strategies in Sparse Plane Rotations",
journal = " Comput. Math. Appl.",
volume = "8",
pages = "119--135",
kwds = "sparse, perm, rot"
}
@book{zlat:92,
author = "Z. Zlatev",
year = "1992",
title = "Computational Methods for General Sparse Matrices",
publisher = "Kluwer Academic Publishers",
address = "Norwell, MA",
kwds = "sparse, perm, rot"
}
@techreport{zlni:79,
author = "Z. Zlatev and H. Nielsen",
year = "1979",
title = "{LLSS{\rm 01}} - A {Fortran} Subroutine for Solving Least Squares
Problems ({User's} Guide)",
institution = "Institute of Numerical Analysis, Technical University of
Denmark",
address = "Lyngby, Denmark",
type = "{Tech. Report}",
number = "79-07",
kwds = "soft, sparse"
}
@article{zlni:88,
author = "Z. Zlatev and H. Nielsen",
year = "1988",
title = "Solving Large and Sparse Linear Least-Squares Problems by
Conjugate Gradient Algorithms",
journal = "Comput. Math. Appl.",
volume = "15",
pages = "185--202",
note = "",
kwds = "cg, precond, sparse, iter"
}
@unpublished{altkeys,
author = "Zzzzz, Rip van",
year = "1991",
title = "Alternate Key Words",
kwds = "augmented system (augms)
backward perturbation (pert),
banded least squares (band),
blas (blas),
block angular system (basys),
block methods (block),
Chebyshev approximation (cheb),
Cholesky (chol),
condition (cond),
conjugate gradients (cg),
constrained least squares (constr),
control theory (contr),
covariance matrix (covar),
CS decomposition (csd),
downdating (downd),
equilibration (scale),
error estimate (err),
generalized eigenvalue problems (geig),
fill-in (fill),
generalized inverse (ginv),
generalized linear model (glsq),
generalized QR decomposition (gqrd),
geodesy (geod),
generalized singular value decomposition (gsvd),
Givens rotation (rot),
graph theory (graph),
Gram-Schmidt (grsch),
history of least squares ( hist),
Householder (house),
hyperbolic rotation (hyp),
ill-posed (regul),
interior point methods (intpoint),
interval analysis (err),
iterative method (iter),
iterative refinement (ir),
Lanczos (lanczos),
linear algebra general (la),
LU decomposition (lud),
matrix approximation (max),
nested dissection (nestdis),
nonlinear least squares (nlsq),
normal equations (ne),
numerical linear algebra (nla)
optimization (opt),
ordering for sparsity (perm),
orthogonalization (orth),
orthogonal regression (orthreg),
precision (err),
preconditioning (precond),
pseudo-inverse (ginv),
parallel computation (prll),
perturbation theory (pert),
polynomial approximation (poly)
projection (orth),
QR decomposition (qrd),
quadratic programming (quadpr),
random matrix (rand),
rank degenerate problems (rank),
rank revealing QR factorization (rrqrd),
recursive least squares (rls),
regularization (regul),
regression (regr),
robust estimation (rob),
scaling (scale),
signal processing (sigp),
singular value decomposition (svd),
spline approximation (spline),
survey paper/book (survey),
systolic (syst),
software (soft),
sparse (sparse),
statistics (stat),
test matrix (test),
Toeplitz (toep),
total least squares (tls),
underdetermined systems (uds),
updating (upd),
variable projection (varpro),
vector processing (prll),
weighted least squares (wlsq)"
}
.danielc.bib0000600001023000102300000003473212346654603014032 0ustar hwolkowihwolkowicz# This file contains miscellaneous (mathematical) bib entries
## for Daniel 2010 for the nearest correlation matrix problem
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in this file .master.bib.
####
#### This is also available as the
#### Bibliography on optimization and matrix theory
#### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html
#### as part of:
# The Collection of Computer Science Bibliographies
# at URL http://liinwww.ira.uka.de/bibliography/index.html
###
### I will also include these in the dedicated file .strings.bib
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
####
#### The string definitions are in this file .master.bib
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/master.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions