Valid HTML 4.0! Valid CSS!
%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Henry Wolkowicz",
%%%     version         = "1.44",
%%%     date            = "17 November 2023",
%%%     time            = "13:05:53 MST",
%%%     filename        = "wolkowicz-henry.bib",
%%%     address         = "Dept of Comb and Opt
%%%                        University of Waterloo
%%%                        Waterloo, Ont.
%%%                        Canada N2L 3G1",
%%%     telephone       = "(519) 888-4567 ext. 15589",
%%%     FAX             = "+1 519 725 5441",
%%%     checksum        = "26537 4798 18209 193908",
%%%     email           = "hwolkowi at orion.uwaterloo.ca (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "Optimization, Numerical Linear Algebra",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications of
%%%                        Henry Wolkowicz.  The companion LaTeX file
%%%                        wolkowicz-henry.ltx can be used to typeset
%%%                        this bibliography.
%%%
%%%                        At version 1.44, the year coverage looked
%%%                        like this:
%%%
%%%                             1975 (   1)    1991 (   4)    2007 (   3)
%%%                             1976 (   0)    1992 (   7)    2008 (   1)
%%%                             1977 (   0)    1993 (   3)    2009 (   3)
%%%                             1978 (   3)    1994 (  14)    2010 (   4)
%%%                             1979 (   3)    1995 (   9)    2011 (   3)
%%%                             1980 (   9)    1996 (   6)    2012 (   5)
%%%                             1981 (  10)    1997 (   8)    2013 (   5)
%%%                             1982 (   6)    1998 (  10)    2014 (   2)
%%%                             1983 (   6)    1999 (   7)    2015 (   4)
%%%                             1984 (   4)    2000 (  12)    2016 (   1)
%%%                             1985 (   8)    2001 (  14)    2017 (   4)
%%%                             1986 (   5)    2002 (  14)    2018 (   3)
%%%                             1987 (   5)    2003 (   5)    2019 (   1)
%%%                             1988 (   4)    2004 (   2)    2020 (   2)
%%%                             1989 (   3)    2005 (   2)    2021 (   3)
%%%                             1990 (   3)    2006 (   1)    2022 (   1)
%%%                             19xx (   6)
%%%
%%%                             Article:        131
%%%                             Book:            13
%%%                             InCollection:    16
%%%                             InProceedings:   10
%%%                             MastersThesis:   10
%%%                             PhdThesis:        5
%%%                             Proceedings:     11
%%%                             TechReport:      41
%%%                             Unpublished:      2
%%%
%%%                             Total entries:  239
%%%
%%%                        This file is available as part of the BibNet
%%%                        Project.  The master copy is available for
%%%                        public access on ftp.math.utah.edu in the
%%%                        directory tree /pub/bibnet/authors.  It is
%%%                        mirrored to netlib.bell-labs.com in the directory
%%%                        tree /netlib/bibnet/authors, from which it is
%%%                        available via anonymous ftp and the Netlib
%%%                        service.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================
@Preamble{
    "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
}

%%% ====================================================================
%%% Institution abbreviations:
@String{inst-UNIV-ALBERTA       = "The University of Alberta"}
@String{inst-UNIV-ALBERTA:adr   = "Edmonton, AB, Canada"}

@String{inst-UNIV-WATERLOO      = "University of Waterloo"}
@String{inst-UNIV-WATERLOO:adr  = "Waterloo, ON, Canada"}

%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACM-COMM-COMP-ALGEBRA = "ACM Communications in Computer Algebra"}

@String{j-ACTA-SCI-MATH-SZEGED  = "Acta Scientiarum Mathematicarum (Szeged)"}

@String{j-AMER-MATH-MONTHLY     = "American Mathematical Monthly"}

@String{j-AMER-STAT             = "The American Statistician"}

@String{j-ANN-OPER-RESEARCH     = "Annals of Operations Research"}

@String{j-APPL-MATH-NOTES       = "Applied Mathematics Notes"}

@String{j-AUSTRALIAN-MATH-SOC-SERIES-A = "Journal of the Australian
                                  Mathematical Society. Series A: Pure
                                  mathematics"}

@String{j-COMP-OPTIM-APPL       = "Computational optimization and
                                  applications"}

@String{j-DISCRETE-APPL-MATH    = "Discrete Applied Mathematics"}

@String{j-EUR-J-OPER-RES        = "European Journal of Operational Research"}

@String{j-INFORMS-J-COMPUT      = "INFORMS Journal on Computing"}

@String{j-J-APPL-MATH           = "Journal of Applied Mathematics"}

@String{j-J-AUSTRAL-MATH-SOC-SER-A = "Journal of the Australian
                                  Mathematical Society. Series A: Pure
                                  Mathematics and Statistics"}

@String{j-J-COMB-OPTIM          = "Journal of Combinatorial Optimization"}

@String{j-J-COMPUT-BIOL         = "Journal of Computational Biology"}

@String{j-J-GLOBAL-OPT          = "Journal of Global Optimization"}

@String{j-J-MATH-ANAL-APPL      = "Journal of Mathematical Analysis and
                                  Applications"}

@String{j-J-OPT-THEORY-APPL     = "Journal of Optimization Theory and
                                  Applications"}

@String{j-LIN-AND-MULT-ALGEBRA  = "Linear and Multilinear Algebra"}

@String{j-LIN-MULT-ALGEBRA      = "Linear Multilinear Algebra"}

@String{j-LINEAR-ALGEBRA-APPL   = "Linear Algebra and Its Applications"}

@String{j-MATH-COMP             = "Math. Comp."}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-OP-RES           = "Mathematics of Operations Research"}

@String{j-MATH-PROG             = "Mathematical Programming"}

@String{j-MATH-PROG-STUDY       = "Mathematical Programming Study"}

@String{j-MATH-PROGRAM-COMPUT   = "Mathematical Programming Computation"}

@String{j-NRLQ                  = "Naval Research Logistics Quarterly"}

@String{j-OPTIM-ENG             = "Optimization and Engineering"}

@String{j-OPTIM-METHODS-SOFTW   = "Optimization Methods \& Software"}

@String{j-PORT-MATH             = "Portugaliae Mathematica"}

@String{j-QUANTUM-INF-PROCESS   = "Quantum Information Processing"}

@String{j-SIAM-J-ALG-DISC-METH  = "SIAM Journal on Algebraic and Discrete
                                  Methods"}

@String{j-SIAM-J-MAT-ANA-APPL   = "SIAM Journal on Matrix Analysis and
                                  Applications"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-OPT            = "SIAM Journal on Optimization"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-UTIL-MATH             = "Utilitas Mathematica"}

%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-DEKKER              = "Marcel Dekker, Inc."}
@String{pub-DEKKER:adr          = "New York, NY, USA"}

@String{pub-ELSEVIER-SCIENCE    = "Elsevier Science, Inc."}
@String{pub-ELSEVIER-SCIENCE:adr = "Amsterdam, The Netherlands"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}

@String{pub-KLUWER              = "Kluwer Academic Publishers"}
@String{pub-KLUWER:adr          = "Dordrecht, The Netherlands~/ Boston, MA"}

@String{pub-NORTH-HOLLAND       = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg, Germany~/
                                  London, UK~/ etc."}

@String{pub-WATERLOO            = "University of Waterloo"}
@String{pub-WATERLOO:adr        = "Waterloo, ON, Canada"}

@String{pub-WATERLOO-PRESS      = "University of Waterloo Press"}
@String{pub-WATERLOO-PRESS:adr  = "Waterloo, ON, Canada"}

@String{pub-WI                  = "Wiley-In{\-}ter{\-}sci{\-}ence"}
@String{pub-WI:adr              = "New York, NY, USA"}

%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNCS                = "Lecture Notes in Computer Science"}

%%% ====================================================================
%%% Bibliography entries, sorted by increasing year:
@MastersThesis{Wolkowicz:1975:KGT,
  author =       "Henry Wolkowicz",
  title =        "{Kantorovich}'s general theory of approximation
                 methods",
  type =         "M.Sc. Thesis",
  school =       "McGill University",
  address =      "Montr{\'e}al, PQ, Canada",
  year =         "1975",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "M.Sc. Thesis",
}

@PhdThesis{Wolkowicz:1978:CAA,
  author =       "Henry Wolkowicz",
  title =        "Constructive approaches to approximate solutions of
                 operator equations and convex programming",
  school =       "McGill University",
  address =      "Montr{\'e}al, PQ, Canada",
  year =         "1978",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Wolkowicz:1978:CBA,
  author =       "H. Wolkowicz and S. Zlobec",
  title =        "Calculating the best approximate solution of an
                 operator equation",
  journal =      j-MATH-COMPUT,
  volume =       "32",
  number =       "144",
  pages =        "1183--1213",
  month =        oct,
  year =         "1978",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65J05 (47A50)",
  MRnumber =     "58 #13701",
  MRreviewer =   "P. M. Anselone",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 JSTOR database",
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math., McGill Univ., Montreal, Que., Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "approximation theory; Banach spaces; best approximate
                 solution; bounded; closed range; linear; operator
                 equation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Wolkowicz:1978:CCD,
  author =       "H. Wolkowicz",
  title =        "Calculating the cone of directions of constancy",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "25",
  number =       "3",
  pages =        "451--457",
  year =         "1978",
  CODEN =        "JOTABN",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C25",
  MRnumber =     "58 #25996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@TechReport{Borwein:1979:COA,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Characterizations of optimality for the abstract
                 convex program",
  type =         "Research Report",
  number =       "19",
  institution =  "Dalhousie University",
  address =      "Halifax, NS, Canada",
  year =         "1979",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Borwein:1979:COC,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Characterizations of optimality without constraint
                 qualification for the abstract convex program",
  type =         "Research Report",
  number =       "14",
  institution =  "Department of Mathematics, Dalhousie University",
  address =      "Halifax, NS, Canada",
  pages =        "59",
  month =        jun,
  year =         "1979",
  bibdate =      "Tue Nov 08 15:45:14 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
}

@Article{Wolkowicz:1979:ESI,
  author =       "H. Wolkowicz and G. P. H. Styan",
  title =        "Extensions of {Samuelson}'s inequality",
  journal =      j-AMER-STAT,
  volume =       "33",
  number =       "3",
  pages =        "143--144",
  year =         "1979",
  CODEN =        "ASTAAJ",
  ISSN =         "0003-1305 (print), 1537-2731 (electronic)",
  ISSN-L =       "0003-1305",
  MRclass =      "62G30 (60E15)",
  MRnumber =     "80h:62038",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "The American Statistician",
  journal-URL =  "http://www.tandfonline.com/loi/utas20",
}

@Article{Kempthorne:1980:LE,
  author =       "Oscar Kempthorne and D. G. Kabe and K. R. Nair and
                 Henry Wolkowicz and George P. H. Styan and James R.
                 Lackritz and Samuel Leinhardt and Stanley Wasserman and
                 Libert Ehrman and Robert J. K. Jacob and William C.
                 Shelton and Stephen E. Fienberg and Ruma Falk and Gary
                 G. Koch and John Neter",
  title =        "Letters to the {Editor}",
  journal =      j-AMER-STAT,
  volume =       "34",
  number =       "4",
  pages =        "249--254",
  month =        nov,
  year =         "1980",
  CODEN =        "ASTAAJ",
  ISSN =         "0003-1305 (print), 1537-2731 (electronic)",
  ISSN-L =       "0003-1305",
  bibdate =      "Fri Jan 27 12:40:27 MST 2012",
  bibsource =    "http://www.jstor.org/journals/00031305.html;
                 http://www.jstor.org/stable/i326409;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/amstat1980.bib",
  URL =          "http://www.jstor.org/stable/2684078",
  acknowledgement = ack-nhfb,
  fjournal =     "The American Statistician",
  journal-URL =  "http://www.tandfonline.com/loi/utas20",
}

@Article{Wolkowicz:1980:BEU,
  author =       "H. Wolkowicz and G. P. H. Styan",
  title =        "Bounds for eigenvalues using traces",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "29",
  pages =        "471--506",
  year =         "1980",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A18",
  MRnumber =     "81k:15015",
  MRreviewer =   "M. Shafqat Ali",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Wolkowicz:1980:CPE,
  author =       "H. Wolkowicz",
  title =        "Convex programs with equivalent duals",
  journal =      j-APPL-MATH-NOTES,
  volume =       "5",
  number =       "2",
  pages =        "45--62",
  year =         "1980",
  ISSN =         "0700-9224",
  ISSN-L =       "0700-9224",
  MRclass =      "90C25",
  MRnumber =     "81h:90121",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Invited paper.",
  fjournal =     "Applied Mathematics Notes",
}

@Article{Wolkowicz:1980:GOC,
  author =       "H. Wolkowicz",
  title =        "Geometry of optimality conditions and constraint
                 qualifications: The convex case",
  journal =      j-MATH-PROG,
  volume =       "19",
  number =       "1",
  pages =        "32--60",
  year =         "1980",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  MRclass =      "90C25",
  MRnumber =     "83b:90130",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Wolkowicz:1980:HSI,
  author =       "H. Wolkowicz and G. P. H. Styan",
  title =        "A history of {Samuelson}'s inequality",
  journal =      j-AMER-STAT,
  volume =       "34",
  pages =        "250",
  year =         "1980",
  CODEN =        "ASTAAJ",
  ISSN =         "0003-1305 (print), 1537-2731 (electronic)",
  ISSN-L =       "0003-1305",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "The American Statistician",
  journal-URL =  "http://www.tandfonline.com/loi/utas20",
}

@Article{Wolkowicz:1980:MBE,
  author =       "H. Wolkowicz and G. P. H. Styan",
  title =        "More bounds for eigenvalues using traces",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "31",
  pages =        "1--17",
  year =         "1980",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A18 (65F15)",
  MRnumber =     "81k:15016",
  MRreviewer =   "J. Segethov{\'a}",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@TechReport{Wolkowicz:1980:OCA,
  author =       "H. Wolkowicz",
  title =        "Optimality and the cone of affine directions",
  type =         "Research Report",
  institution =  inst-UNIV-ALBERTA,
  address =      inst-UNIV-ALBERTA:adr,
  year =         "1980",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Wolkowicz:1980:SPU,
  author =       "H. Wolkowicz",
  title =        "Shadow prices for an unstable convex program",
  journal =      j-UTIL-MATH,
  volume =       "18",
  pages =        "119--139",
  year =         "1980",
  CODEN =        "UTMADA",
  ISSN =         "0315-3681",
  MRclass =      "90C25",
  MRnumber =     "82d:90100",
  MRreviewer =   "Roger Hartley",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Report No. 15 Dalhousie University.",
  fjournal =     "Utilitas Mathematica. A Canadian Journal of Applied
                 Mathematics, Computer Science, and Statistics",
}

@InProceedings{Borwein:1981:CCP,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Cone-convex programming, stability and affine
                 constraints",
  crossref =     "Schaible:1981:CCP",
  pages =        "379--397",
  year =         "1981",
  bibdate =      "Mon Mar 6 22:00:29 MST 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Invited paper.",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  xxpages =      "379--392",
  xxtitle =      "Cone-convex programming, stability and affine
                 constraint functions",
}

@Article{Borwein:1981:COA,
  author =       "Jon M. Borwein and Henry Wolkowicz",
  title =        "Characterization of optimality for the abstract convex
                 program with finite dimensional range",
  journal =      j-J-AUSTRAL-MATH-SOC-SER-A,
  volume =       "30",
  number =       "4",
  pages =        "390--411",
  month =        apr,
  year =         "1981",
  CODEN =        "JAMADS",
  DOI =          "https://doi.org/10.1017/S1446788700017882",
  ISSN =         "0263-6115 (print), 2396-8192 (electronic)",
  ISSN-L =       "0263-6115",
  MRclass =      "90C48",
  MRnumber =     "621556 (83i:90156)",
  MRreviewer =   "R. L. Graves",
  bibdate =      "Wed Aug 31 15:25:43 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://docserver.carma.newcastle.edu.au/1649/;
                 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4896312",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Australian Mathematical Society. Series
                 A",
  journal-URL =  "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  received =     "21 March 1980",
}

@Article{Borwein:1981:FRC,
  author =       "Jon M. Borwein and Henry Wolkowicz",
  title =        "Facial reduction for a cone-convex programming
                 problem",
  journal =      j-J-AUSTRAL-MATH-SOC-SER-A,
  volume =       "30",
  number =       "3",
  pages =        "369--380",
  month =        feb,
  year =         "1981",
  CODEN =        "JAMADS",
  DOI =          "https://doi.org/10.1017/S1446788700017250",
  ISSN =         "0263-6115 (print), 2396-8192 (electronic)",
  ISSN-L =       "0263-6115",
  MRclass =      "90C25; 90C48",
  MRnumber =     "83b:90121 (614086)",
  MRreviewer =   "B. T. Polyak",
  bibdate =      "Wed Aug 31 16:29:21 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5441184",
  ZMnumber =     "0464.90086",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Australian Mathematical Society. Series
                 A",
  journal-URL =  "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ",
  remark =       "Check year?? Cambridge Web site is temporarily offline
                 on 31 August 2016, and issues in this volume depend on
                 the year.",
}

@Article{Borwein:1981:RAC,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Regularizing the abstract convex program",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "83",
  number =       "2",
  pages =        "495--530",
  year =         "1981",
  CODEN =        "JMANAK",
  ISSN =         "0022-247x (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "90C48 (90C25)",
  MRnumber =     "83d:90236",
  MRreviewer =   "S. Zlobec",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
}

@TechReport{Massam:1981:RCA,
  author =       "Helene Massam and H. Wolkowicz",
  title =        "Regularization and convex approximation",
  type =         "Research Report",
  institution =  inst-UNIV-ALBERTA,
  address =      inst-UNIV-ALBERTA:adr,
  year =         "1981",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Wolkowicz:1981:BKR,
  author =       "H. Wolkowicz",
  title =        "Bounds for the {Kantorovich} ratio",
  type =         "Research Report",
  institution =  inst-UNIV-ALBERTA,
  address =      inst-UNIV-ALBERTA:adr,
  year =         "1981",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Wolkowicz:1981:CMO,
  author =       "H. Wolkowicz",
  title =        "A Constrained Matrix Optimization Problem",
  journal =      j-SIAM-REVIEW,
  volume =       "23",
  number =       "1",
  pages =        "101--101",
  month =        "????",
  year =         "1981",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1023010",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:16 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/23/1;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1981",
}

@Article{Wolkowicz:1981:SAO,
  author =       "H. Wolkowicz",
  title =        "Some applications of optimization in matrix theory",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "40",
  pages =        "101--118",
  year =         "1981",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "90C25 (15A48 65K05 90C05)",
  MRnumber =     "84a:90067",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Wolkowicz:1981:STO,
  author =       "H. Wolkowicz",
  title =        "A strengthened test for optimality",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "35",
  number =       "4",
  pages =        "497--515",
  year =         "1981",
  CODEN =        "JOTABN",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C25",
  MRnumber =     "84d:90088",
  MRreviewer =   "Szymon Dolecki",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@Article{Borwein:1982:COCa,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "Characterizations of optimality without constraint
                 qualification for the abstract convex program",
  journal =      j-MATH-PROG-STUDY,
  volume =       "19",
  pages =        "77--100",
  year =         "1982",
  CODEN =        "MPSTDF",
  ISSN =         "0303-3929",
  MRclass =      "90C25",
  MRnumber =     "83k:90083 (669726)",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Optimality and stability in mathematical programming",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming Study",
}

@InProceedings{Borwein:1982:COCb,
  author =       "J. M. Borwein and H. Wolkowicz",
  booktitle =    "{Optimality and Stability in Mathematical
                 Programming}",
  title =        "Characterizations of optimality without constraint
                 qualification for the abstract convex program",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "??--??",
  year =         "1982",
  DOI =          "https://doi.org/10.1007/BFb0120983",
  bibdate =      "Thu Aug 11 09:36:22 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0120983",
  acknowledgement = ack-nhfb,
}

@Article{Borwein:1982:SII,
  author =       "J. M. Borwein and G. P. H. Styan and L. V. Foster and
                 H. Wolkowicz",
  title =        "Some Inequalities Involving Statistical Expressions",
  journal =      j-SIAM-REVIEW,
  volume =       "24",
  number =       "3",
  pages =        "340--342",
  month =        jul,
  year =         "1982",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1024072",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Fri Jun 21 11:25:02 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@Article{Borwein:1982:SSI,
  author =       "J. M. Borwein and G. P. H. Styan and H. Wolkowicz",
  title =        "Solutions: Some Inequalities Involving Statistical
                 Expressions ({L. V. Foster})",
  journal =      j-SIAM-REVIEW,
  volume =       "24",
  number =       "3",
  pages =        "340--342",
  month =        "????",
  year =         "1982",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1024072",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:30 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/24/3;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "July 1982",
}

@Article{Deutsch:1982:PSSa,
  author =       "Emeric Deutsch and Ron Adin and H. Kestelman and M. F.
                 Kruelle and Daniel B. Shapiro and Henry Wolkowicz",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E2849}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "89",
  number =       "1",
  pages =        "64--64",
  month =        jan,
  year =         "1982",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:36:37 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 JSTOR database",
  note =         "See also \cite{Deutsch:1980:PSE}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
}

@Article{Wolkowicz:1982:CMO,
  author =       "H. Wolkowicz",
  title =        "A Constrained Matrix Optimization Problem",
  journal =      j-SIAM-REVIEW,
  volume =       "24",
  number =       "1",
  pages =        "83--83",
  month =        "????",
  year =         "1982",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1024015",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Fri Jun 21 11:25:02 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@TechReport{Grone:1983:CRS,
  author =       "Robert Grone and Charles R. Johnson and E. {Marques de
                 Sa} and Henry Wolkowicz",
  title =        "Constrained ranges of sesquilinear forms",
  type =         "Research Report",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1983",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Merikoski:1983:BRE,
  author =       "J. Merikoski and G. P. H. Styan and H. Wolkowicz",
  title =        "Bounds for ratios of eigenvalues using traces",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "55",
  pages =        "105--124",
  year =         "1983",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A42 (65F15)",
  MRnumber =     "85a:15019",
  MRreviewer =   "Ludwig Elsner",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Wolkowicz:1983:MRC,
  author =       "H. Wolkowicz",
  title =        "The method of reduction in convex programming",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "40",
  number =       "3",
  pages =        "349--378",
  year =         "1983",
  CODEN =        "JOTABN",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C25",
  MRnumber =     "85d:90077",
  MRreviewer =   "S. Zlobec",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@Article{Wolkowicz:1983:OCN,
  author =       "H. Wolkowicz",
  title =        "An optimality condition for a nondifferentiable convex
                 program",
  journal =      j-NRLQ,
  volume =       "30",
  number =       "3",
  pages =        "415--418",
  year =         "1983",
  CODEN =        "NRLQAR",
  ISSN =         "0028-1441 (print), 1931-9193 (electronic)",
  ISSN-L =       "0028-1441",
  MRclass =      "90C25",
  MRnumber =     "85a:90181",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Naval Research Logistics Quarterly",
}

@InProceedings{Wolkowicz:1983:OCS,
  author =       "H. Wolkowicz",
  title =        "Optimality conditions and shadow prices",
  crossref =     "Fiacco:1983:MPD",
  pages =        "49--63",
  year =         "1983",
  MRclass =      "90C25",
  MRnumber =     "85b:90056",
  MRreviewer =   "J. E. Spingarn",
  bibdate =      "Mon Mar 6 22:00:29 MST 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Invited paper.",
}

@Article{Grone:1984:IHI,
  author =       "Bob Grone and Charles Johnson and E. {Marques De
                 S{\'a}} and Henry Wolkowicz",
  title =        "Improving {Hadamard}'s inequality",
  journal =      j-LIN-AND-MULT-ALGEBRA,
  volume =       "16",
  number =       "1--4",
  pages =        "305--322",
  year =         "1984",
  CODEN =        "LNMLAZ",
  DOI =          "https://doi.org/10.1080/03081088408817634",
  ISSN =         "0308-1087 (print), 1563-5139 (electronic)",
  ISSN-L =       "0308-1087",
  MRclass =      "15A42 (15A15 15A45)",
  MRnumber =     "87b:15024",
  bibdate =      "Tue Sep 20 15:10:37 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/03081088408817634",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear and Multilinear Algebra",
  journal-URL =  "http://www.tandfonline.com/loi/glma20",
  onlinedate =   "5 November 2010",
  received =     "15 November 1983",
}

@Article{Grone:1984:PDC,
  author =       "Robert Grone and Charles R. Johnson and E. {Marques de
                 S{\"a}} and Henry Wolkowicz",
  title =        "Positive definite completions of partial {Hermitian}
                 matrices",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "58",
  pages =        "109--124",
  year =         "1984",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "05C50 (15A57)",
  MRnumber =     "85d:05169",
  MRreviewer =   "Larry Basen{\v{s}}piler",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Smith:1984:DBS,
  author =       "P. W. Smith and Henry Wolkowicz",
  title =        "Dimensionality of biinfinite systems",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "57",
  number =       "??",
  pages =        "115--130",
  month =        feb,
  year =         "1984",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(84)90181-2",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A22 (15A21 15A54 41A05)",
  MRnumber =     "86c:15010",
  bibdate =      "Wed Nov 30 13:49:23 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379584901812",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Butler:1985:NSQ,
  author =       "G. Butler and C. R. Johnson and H. Wolkowicz",
  title =        "Nonnegative solutions of a quadratic matrix equation
                 arising from comparison theorems in ordinary
                 differential equations",
  journal =      j-SIAM-J-ALG-DISC-METH,
  volume =       "6",
  number =       "1",
  pages =        "47--53",
  year =         "1985",
  CODEN =        "SJAMDU",
  ISSN =         "0196-5212 (print), 2168-345X (electronic)",
  ISSN-L =       "0196-5212",
  MRclass =      "34C11 (15A48)",
  MRnumber =     "86f:34072",
  MRreviewer =   "G. J. Etgen",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Algebraic and Discrete Methods",
  journal-URL =  "http://epubs.siam.org/loi/sjamdu",
}

@Article{Johnson:1985:LBS,
  author =       "C. R. Johnson and Ravindar Kumar and H. Wolkowicz",
  title =        "Lower bounds for the spread of a matrix",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "71",
  pages =        "161--173",
  year =         "1985",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A42",
  MRnumber =     "87a:15027",
  MRreviewer =   "Thomas L. Markham",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Lamoreaux:1985:NDC,
  author =       "M. Lamoreaux and H. Wolkowicz",
  title =        "Numerical decomposition of a convex function",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "47",
  number =       "1",
  pages =        "51--64",
  year =         "1985",
  CODEN =        "JOTABN",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "90C25 (26A51)",
  MRnumber =     "87a:90107",
  MRreviewer =   "Jacques A. Ferland",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@Article{Merikoski:1985:IEB,
  author =       "J. Merikoski and H. Wolkowicz",
  title =        "Improving eigenvalue bounds using extra bounds",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "68",
  pages =        "93--113",
  year =         "1985",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A42 (65F15)",
  MRnumber =     "87e:15038",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@TechReport{Schoettle:1985:TAPa,
  author =       "C. Schoettle and H. Wolkowicz",
  title =        "The teaching assignment problem",
  type =         "Research Report",
  institution =  "Emory University",
  address =      "Atlanta, GA, USA",
  year =         "1985",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Wolkowicz:1985:GEB,
  author =       "H. Wolkowicz",
  title =        "Generating eigenvalue bounds using optimization",
  type =         "Research Report",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1985",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Borwein:1986:SCQ,
  author =       "J. M. Borwein and H. Wolkowicz",
  title =        "A simple constraint qualification in infinite
                 dimensional programming",
  journal =      j-MATH-PROG,
  volume =       "35",
  number =       "1",
  pages =        "83--96",
  year =         "1986",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  MRclass =      "90C48",
  MRnumber =     "87i:90321",
  MRreviewer =   "W. W. Breckner",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Grone:1986:NMP,
  author =       "Robert Grone and Charles R. Johnson and E. {Marques de
                 S{\'a}} and Henry Wolkowicz",
  title =        "A note on maximizing the permanent of a positive
                 definite {Hermitian} matrix, given the eigenvalues",
  journal =      j-LIN-AND-MULT-ALGEBRA,
  volume =       "19",
  number =       "4",
  pages =        "389--393",
  year =         "1986",
  CODEN =        "LNMLAZ",
  DOI =          "https://doi.org/10.1080/03081088608817733",
  ISSN =         "0308-1087 (print), 1563-5139 (electronic)",
  ISSN-L =       "0308-1087",
  MRclass =      "15A15",
  MRnumber =     "88b:15006",
  MRreviewer =   "H. Minc",
  bibdate =      "Tue Sep 20 15:10:49 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/03081088608817733",
  fjournal =     "Linear and Multilinear Algebra",
  journal-URL =  "http://www.tandfonline.com/loi/glma20",
}

@Article{Smith:1986:NEL,
  author =       "P. W. Smith and H. Wolkowicz",
  title =        "A nonlinear equation for linear programming",
  journal =      j-MATH-PROG,
  volume =       "34",
  number =       "2",
  pages =        "235--238",
  year =         "1986",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  MRclass =      "90C05",
  MRnumber =     "87j:90082",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@TechReport{Wolkowicz:1986:TAD,
  author =       "H. Wolkowicz and A. Ben-israel",
  title =        "Taking advantage of degeneracy in linear programming",
  type =         "Research Report",
  number =       "CORR 86-23",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1986",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Wolkowicz:1986:VCR,
  author =       "H. Wolkowicz and A. Ben-israel",
  title =        "A volume and constraint reducing algorithm for linear
                 programming",
  type =         "Research Report",
  number =       "CORR 86-29",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1986",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Grone:1987:NM,
  author =       "Robert Grone and Charles R. Johnson and E. {Marques de
                 Sa} and Henry Wolkowicz",
  title =        "Normal matrices",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "87",
  pages =        "213--225",
  year =         "1987",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A57",
  MRnumber =     "88a:15045",
  MRreviewer =   "L. Rodman",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Guelicher:1987:PSE,
  author =       "Herbert Guelicher and Jordi Dou and Mihai Cipu and
                 Marian Deaconescu and Charles R. Johnson and Gail
                 Wolkowicz and Henry Wolkowicz and Rick Luttmann and
                 Noam D. Elkies",
  title =        "Problems and Solutions: Elementary Problems:
                 {E3231}--{E3236}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "94",
  number =       "9",
  pages =        "876--878",
  month =        nov,
  year =         "1987",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:51 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 JSTOR database",
  note =         "See also
                 \cite{Cipu:1989:PSS,Dou:1989:PSSa,Elkies:1990:PSS,Guelicher:1989:PSSa,Johnson:1989:PSS,Luttmann:1989:PSS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
}

@Article{Johnson:1987:PSE,
  author =       "Charles R. Johnson and Gail Wolkowicz and Henry
                 Wolkowicz",
  title =        "Problems and Solutions: Elementary Problems: {E3234}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "94",
  number =       "9",
  pages =        "877--877",
  month =        nov,
  year =         "1987",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Wed Dec 29 12:13:09 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
}

@InCollection{Wolkowicz:1987:SI,
  author =       "H. Wolkowicz and G. P. H. Styan",
  title =        "{Samuelson}'s Inequality",
  crossref =     "Kotz:1987:ESS",
  volume =       "8",
  pages =        "??--??",
  year =         "1987",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Invited paper.",
}

@TechReport{Hadley:1988:HFE,
  author =       "S. W. Hadley and H. Wolkowicz",
  title =        "The {Hessian} of a function of the eigenvalues",
  type =         "Research Report",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1988",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Hadley:1988:IBQ,
  author =       "S. W. Hadley and F. Rendl and H. Wolkowicz",
  title =        "Improving bounds for the quadratic assignment
                 problem",
  type =         "Research Report",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "1988",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Sutherland:1988:ELS,
  author =       "W. R. S. Sutherland and H. Wolkowicz and Vera Zeidan",
  title =        "An explicit linear solution for the quadratic dynamic
                 programming problem",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "58",
  number =       "2",
  pages =        "319--330",
  year =         "1988",
  CODEN =        "JOTABN",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "49C20 (49D40 90C39 93C55)",
  MRnumber =     "89e:49023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@Article{Beatson:1989:PPP,
  author =       "R. K. Beatson and H. Wolkowicz",
  title =        "Post-Processing Piecewise Cubics for Monotonicity",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "26",
  number =       "2",
  pages =        "480--502",
  month =        apr,
  year =         "1989",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65D07 (41A05 41A25)",
  MRnumber =     "90i:65019",
  MRreviewer =   "Zhen Xiang Xiong",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 JSTOR database",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Johnson:1989:PSS,
  author =       "Charles R. Johnson and Gail Wolkowicz and Henry
                 Wolkowicz and Patrick A. Staley",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E3234}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "96",
  number =       "4",
  pages =        "362--363",
  month =        apr,
  year =         "1989",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:39:24 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 JSTOR database",
  note =         "See also \cite{Guelicher:1987:PSE}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/journals/00029890.html",
}

@InProceedings{Hadley:1990:BQA,
  author =       "S. W. Hadley and F. Rendl and H. Wolkowicz",
  title =        "Bounds for the quadratic assignment problems using
                 continuous optimization",
  crossref =     "Pulleyblank:1990:IPC",
  pages =        "237--248",
  year =         "1990",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Jeyakumar:1990:ZDG,
  author =       "V. Jeyakumar and H. Wolkowicz",
  title =        "Zero duality gaps in infinite-dimensional
                 programming",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "67",
  number =       "1",
  pages =        "87--108",
  year =         "1990",
  CODEN =        "JOTABN",
  ISSN =         "0022-3239 (print), 1573-2878 (electronic)",
  ISSN-L =       "0022-3239",
  MRclass =      "49N15 (90C48)",
  MRnumber =     "92a:49062",
  MRreviewer =   "R. N. Kaul",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
  page =         "87-108",
}

@Article{Stern:1991:ENI,
  author =       "R. J. Stern and H. Wolkowicz",
  title =        "Exponential nonnegativity on the ice-cream cone",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "12",
  number =       "1",
  pages =        "160--165",
  year =         "1991",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "15A48",
  MRnumber =     "92j:15013",
  MRreviewer =   "Raphael Loewy",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Stern:1991:IEC,
  author =       "Ronald J. Stern and Henry Wolkowicz",
  title =        "Invariant ellipsoidal cones",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "150",
  pages =        "81--106",
  year =         "1991",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A48",
  MRnumber =     "92h:15014",
  MRreviewer =   "Raphael Loewy",
  bibdate =      "Wed Jan 22 17:57:24 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Proceedings of the First Conference of the
                 International Linear Algebra Society (Provo, UT,
                 1989)",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Stern:1991:NGI,
  author =       "Ronald J. Stern and Henry Wolkowicz",
  title =        "A note on generalized invariant cones and the
                 {Kronecker} canonical form",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "147",
  pages =        "97--100",
  year =         "1991",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A22 (15A18 15A48)",
  MRnumber =     "92e:15018",
  bibdate =      "Wed Jan 22 17:57:24 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Stern:1991:RIC,
  author =       "R. J. Stern and H. Wolkowicz",
  title =        "Results on invariant cones",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "166",
  pages =        "1--26",
  year =         "1991",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Proceedings from the Haifa Matrix Theory Conference,
                 June 1990.",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@InProceedings{Ben-Israel:1992:RVR,
  author =       "A. Ben-Israel and H. Wolkowicz",
  title =        "A recursive volume reducing algorithm for
                 semi-infinite linear programming",
  crossref =     "Phillips:1992:SMS",
  pages =        "??--??",
  year =         "1992",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Invited paper.",
}

@Article{Hadley:1992:NLB,
  author =       "S. W. Hadley and F. Rendl and H. Wolkowicz",
  title =        "A new lower bound via projection for the quadratic
                 assignment problem",
  journal =      j-MATH-OP-RES,
  volume =       "17",
  number =       "3",
  pages =        "727--739",
  year =         "1992",
  CODEN =        "MOREDQ",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C27 (90C20)",
  MRnumber =     "93i:90080",
  MRreviewer =   "M. C. Puri",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
}

@Article{Hadley:1992:SNQ,
  author =       "S. W. Hadley and F. Rendl and H. Wolkowicz",
  title =        "Symmetrization of Nonsymmetric Quadratic Assignment
                 Problems and the {Hoffman-Wielandt} Inequality",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "167",
  pages =        "53--64",
  day =          "01",
  month =        apr,
  year =         "1992",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "90C27 (15A42 90B80)",
  MRnumber =     "93d:90050",
  MRreviewer =   "Rainer Burkard",
  bibdate =      "Wed Jan 22 09:07:50 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Sixth Haifa Conference on Matrix Theory (Haifa,
                 1990)",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Jeyakumar:1992:GSC,
  author =       "V. Jeyakumar and H. Wolkowicz",
  title =        "Generalizations of {Slater}'s constraint qualification
                 for infinite convex programs",
  journal =      j-MATH-PROG,
  volume =       "57",
  number =       "1, Ser. B",
  pages =        "85--101",
  year =         "1992",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  MRclass =      "90C48 (49N15 90C25)",
  MRnumber =     "93e:90070",
  MRreviewer =   "Doug Ward",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Rendl:1992:APP,
  author =       "F. Rendl and H. Wolkowicz",
  title =        "Applications of parametric programming and eigenvalue
                 maximization to the quadratic assignment problem",
  journal =      j-MATH-PROG,
  volume =       "53",
  number =       "1, Ser. A",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  pages =        "63--78",
  year =         "1992",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  MRclass =      "90C35 (90C20 90C30)",
  MRnumber =     "93c:90098",
  MRreviewer =   "M. C. Puri",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Dennis:1993:SLC,
  author =       "John E. {Dennis, Jr.} and H. Wolkowicz",
  title =        "Sizing and Least-Change Secant Methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "30",
  number =       "5",
  pages =        "1291--1314",
  month =        oct,
  year =         "1993",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "90C30 (49M37 65K05)",
  MRnumber =     "94g:90107",
  bibdate =      "Mon Jan 20 15:27:00 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Poljak:1993:CRQ,
  author =       "S. Poljak and H. Wolkowicz",
  title =        "Convex relaxations of $ (0, 1) $ quadratic
                 programming",
  journal =      j-MATH-OP-RES,
  volume =       "20",
  number =       "3",
  pages =        "550--561",
  year =         "1995",
  CODEN =        "MOREDQ",
  ISSN =         "0364-765X (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C09 (90C20)",
  MRnumber =     "MR1354768 (97b:90078)",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Originally appeared as DIMACS Technical Report CORR
                 93-18.",
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
}

@Book{Ben-Israel:1994:NP,
  author =       "A. Ben-Israel and Michael Schneider and H. Wolkowicz",
  title =        "Nonlinear Programming",
  publisher =    "????",
  address =      "????",
  pages =        "??",
  year =         "1994",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "In progress.",
}

@Article{Falkner:1994:CSG,
  author =       "J. Falkner and F. Rendl and H. Wolkowicz",
  title =        "A computational study of graph partitioning",
  journal =      j-MATH-PROG,
  volume =       "66",
  number =       "2 (Ser. A)",
  pages =        "211--239",
  year =         "1994",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  MRclass =      "90C35 (05C35 65F15 68Q35 90C27)",
  MRnumber =     "95h:90153",
  MRreviewer =   "Yixun Lin",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "ftp://orion.uwaterloo.ca/pub/henry/reports/gpcomput.ps.gz",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@InProceedings{Karisch:1994:TRQ,
  author =       "S. E. Karisch and F. Rendl and H. Wolkowicz",
  title =        "Trust regions and the quadratic assignment problem",
  crossref =     "Pardalos:1994:QAR",
  pages =        "199--219",
  year =         "1994",
  MRclass =      "90C20 (90C27)",
  MRnumber =     "95j:90053",
  MRreviewer =   "Igor Litvinchev",
  bibdate =      "Mon Mar 6 22:00:29 MST 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@InProceedings{Pardalos:1994:QAP,
  author =       "P. Pardalos and F. Rendl and H. Wolkowicz",
  title =        "The Quadratic Assignment Problem: {A} Survey and
                 Recent developments",
  crossref =     "Pardalos:1994:QAR",
  pages =        "1--41",
  year =         "1994",
  MRclass =      "90B80 (90C10 90C27)",
  MRnumber =     "95f:90040",
  MRreviewer =   "Horst W. Hamacher",
  bibdate =      "Mon Mar 6 22:00:29 MST 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Book{Pukelsheim:1994:SIH,
  editor =       "F. Pukelsheim and G. P. H. Styan and H. Wolkowicz And
                 I. Zaballa",
  title =        "Special Issue Honoring {Ingram Olkin}",
  volume =       "199",
  publisher =    pub-ELSEVIER-SCIENCE,
  address =      pub-ELSEVIER-SCIENCE:adr,
  pages =        "viii + 445",
  year =         "1994",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Linear Algebra and Its Applications",
}

@Article{Rendl:1994:PTP,
  author =       "Franz Rendl and Henry Wolkowicz",
  editor =       "Istvan Maros",
  title =        "A projection technique for partitioning the nodes of a
                 graph",
  journal =      j-ANN-OPER-RESEARCH,
  volume =       "58",
  number =       "3",
  pages =        "155--179",
  month =        may,
  year =         "1994",
  CODEN =        "AOREEV",
  DOI =          "https://doi.org/10.1007/BF02032130",
  ISSN =         "0254-5330 (print), 1572-9338 (electronic)",
  ISSN-L =       "0254-5330",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Accepted Aug/94. To appear in the special issue of
                 APMOD93.",
  URL =          "http://link.springer.com/article/10.1007/BF02032130",
  fjournal =     "Annals of Operations Research",
  journal-URL =  "http://link.springer.com/journal/10479",
}

@TechReport{Rendl:1994:SFT,
  author =       "F. Rendl and H. Wolkowicz",
  title =        "A semidefinite framework for trust region subproblems
                 with applications to large scale minimization",
  number =       "CORR Report 94-32",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Submitted.",
}

@Article{Stern:1994:TRP,
  author =       "R. Stern and H. Wolkowicz",
  title =        "Trust region problems and nonsymmetric eigenvalue
                 perturbations",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "15",
  number =       "3",
  pages =        "755--778",
  year =         "1994",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "15A18 (15A42 49R05)",
  MRnumber =     "95f:15009",
  MRreviewer =   "Gerd M. Krause",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Book{Tuncel:1994:SPT,
  author =       "L. Tun{\c{c}}el and H. Wolkowicz and Q. Zhao",
  title =        "Semidefinite Programming: Theory, Applications,
                 Algorithm",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  year =         "1994",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "In progress.",
  series =       "Global Optimization",
}

@Article{Wolkowicz:1994:BRB,
  author =       "H. Wolkowicz",
  title =        "Book Review: {{\booktitle{Matrix Differentiation
                 Identities}} (Peter J. Costa and Stanley Rabinowitz)}",
  journal =      j-SIAM-REVIEW,
  volume =       "36",
  number =       "4",
  pages =        "657--659",
  month =        "????",
  year =         "1994",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1036152",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:55:26 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/36/4;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "December 1994",
}

@TechReport{Wolkowicz:1994:MIT,
  author =       "H. Wolkowicz",
  title =        "Multiple indefinite trust region problems and
                 semidefinite programming",
  type =         "Research Report",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "In progress.",
}

@Article{Wolkowicz:1994:MSR,
  author =       "H. Wolkowicz",
  title =        "Measures for symmetric rank-one updates",
  journal =      j-MATH-OP-RES,
  volume =       "19",
  type =         "Research Report",
  number =       "4",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  pages =        "815--830",
  year =         "1994",
  CODEN =        "MOREDQ",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C30 (65F05 65K05)",
  MRnumber =     "95h:90143",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
}

@Article{Wolkowicz:1994:PS,
  author =       "H. Wolkowicz",
  title =        "Problem Solution 93-17",
  journal =      j-SIAM-REVIEW,
  volume =       "36",
  number =       "4",
  pages =        "657--659",
  year =         "1994",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@InProceedings{Helmberg:1995:CSP,
  author =       "C. Helmberg and S. Poljak and F. Rendl and H.
                 Wolkowicz",
  title =        "Combining semidefinite and polyhedral relaxations to
                 integer programs",
  crossref =     "Balas:1995:IPC",
  pages =        "124--134",
  year =         "1995",
  MRclass =      "90C10 (90C27)",
  MRnumber =     "1 367 976",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Poljak:1995:CRQ,
  author =       "S. Poljak and H. Wolkowicz",
  title =        "Convex relaxations of $ (0, 1)$-quadratic
                 programming",
  journal =      j-MATH-OP-RES,
  volume =       "20",
  number =       "3",
  institution =  "DIMACS",
  pages =        "550--561",
  year =         "1995",
  CODEN =        "MOREDQ",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C09 (90C20)",
  MRnumber =     "97b:90078",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
}

@Article{Poljak:1995:RSR,
  author =       "S. Poljak and F. Rendl and H. Wolkowicz",
  title =        "A recipe for semidefinite relaxation for $ (0,
                 1)$-quadratic programming",
  journal =      j-J-GLOBAL-OPT,
  volume =       "7",
  number =       "1",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  pages =        "51--73",
  year =         "1995",
  CODEN =        "JGOPEO",
  ISSN =         "0925-5001 (print), 1573-2916 (electronic)",
  ISSN-L =       "0925-5001",
  MRclass =      "90C09 (90C27)",
  MRnumber =     "96d:90053",
  MRreviewer =   "Paulo Barcia",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  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",
  journal-URL =  "http://link.springer.com/journal/10898",
}

@TechReport{Ramana:1995:SDS,
  author =       "Motakuri Ramana and Levent Tun{\c{c}}el and Henry
                 Wolkowicz",
  title =        "Strong duality for semidefinite programming",
  type =         "Technical report",
  number =       "CORR 95-12",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  pages =        "31",
  year =         "1995",
  ISSN =         "0384-0115",
  bibdate =      "Wed Nov 05 12:01:07 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Rendl:1995:MME,
  author =       "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
  title =        "Max-min eigenvalue problems, primal-dual interior
                 point algorithms, and trust region subproblems",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "5",
  pages =        "1--16",
  year =         "1995",
  CODEN =        "OMSOE2",
  ISSN =         "1055-6788",
  ISSN-L =       "1026-7670",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Optimization Methods and Software",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
}

@Article{Rendl:1995:PTP,
  author =       "F. Rendl and H. Wolkowicz",
  editor =       "Istvan Maros",
  title =        "A projection technique for partitioning the nodes of a
                 graph",
  journal =      j-ANN-OPER-RESEARCH,
  volume =       "58",
  number =       "3",
  pages =        "155--179",
  month =        may,
  year =         "1995",
  CODEN =        "AOREEV",
  DOI =          "https://doi.org/10.1007/BF02032130",
  ISSN =         "0254-5330 (print), 1572-9338 (electronic)",
  ISSN-L =       "0254-5330",
  MRclass =      "90C35 (05C99)",
  MRnumber =     "96g:90096",
  MRreviewer =   "Xue Liang Li",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Applied mathematical programming and modeling, II
                 (APMOD 93) (Budapest, 1993)",
  URL =          "ftp://orion.uwaterloo.ca/pub/henry/reports/gp.ps.gz;
                 http://link.springer.com/article/10.1007/BF02032130",
  fjournal =     "Annals of Operations Research",
  journal-URL =  "http://link.springer.com/journal/10479",
}

@Article{Stern:1995:ITR,
  author =       "R. Stern and H. Wolkowicz",
  title =        "Indefinite trust region subproblems and nonsymmetric
                 eigenvalue perturbations",
  journal =      j-SIAM-J-OPT,
  volume =       "5",
  type =         "Research Report",
  number =       "2",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  pages =        "286--313",
  year =         "1995",
  CODEN =        "SJOPE8",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C20 (65F15 65K05)",
  MRnumber =     "96h:90077",
  MRreviewer =   "Panos M. Pardalos",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Wolkowicz:1995:AIE,
  author =       "Henry Wolkowicz and Qing Zhao",
  title =        "An all-inclusive efficient region of updates for least
                 change secant methods",
  journal =      j-SIAM-J-OPT,
  volume =       "5",
  number =       "1",
  pages =        "172--191",
  month =        feb,
  year =         "1995",
  CODEN =        "SJOPE8",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (65K05)",
  MRnumber =     "MR1315710 (95k:90096)",
  MRreviewer =   "Bernd Luderer",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 MathSciNet database",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@TechReport{Alfakih:1996:NGS,
  author =       "A. Alfakih and S. Kruk and H. Wolkowicz",
  title =        "A note on geometry of semidefinite relaxations",
  number =       "CORR Report 97",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Helmberg:1996:IPM,
  author =       "Christoph Helmberg and Franz Rendl and Robert J.
                 Vanderbei and Henry Wolkowicz",
  title =        "An interior-point method for semidefinite
                 programming",
  journal =      j-SIAM-J-OPT,
  volume =       "6",
  number =       "2",
  pages =        "342--361",
  month =        may,
  year =         "1996",
  CODEN =        "SJOPE8",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (65K05 90C27)",
  MRnumber =     "MR1387330 (97f:90086)",
  MRreviewer =   "Tam{\'a}s Terlaky",
  bibdate =      "Tue Sep 30 16:05:42 MDT 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 MathSciNet database",
  URL =          "ftp://orion.uwaterloo.ca/pub/henry/reports/sdp.ps.gz",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Wolkowicz:1996:ESI,
  author =       "Henry Wolkowicz",
  title =        "Explicit Solutions for Interval Semidefinite Linear
                 Programs",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "236",
  number =       "1--3",
  pages =        "95--104",
  day =          "15",
  month =        mar,
  year =         "1996",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "90C26 (65G10 90C08)",
  MRnumber =     "96m:90058",
  MRreviewer =   "Florian Jarre",
  bibdate =      "Sat May 29 08:35:30 MDT 1999",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1996&volume=236&issue=1-3&aid=9400130",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@TechReport{Wolkowicz:1996:SPR,
  author =       "Henry Wolkowicz and Qing Zhao",
  title =        "Semidefinite programming relaxations for the graph
                 partitioning problem",
  type =         "Research Report CORR 96-16",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  pages =        "17",
  year =         "1996",
  ISSN =         "0384-0115",
  bibdate =      "Wed Nov 05 11:53:47 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "ftp://orion.uwaterloo.ca/pub/henry/reports/graphpart.ps.gz",
}

@TechReport{Alfakih:1997:IPM,
  author =       "A. Alfakih and A. Khandani and H. Wolkowicz",
  title =        "An interior-point method for approximate distance
                 matrix completions",
  number =       "CORR Report 9",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "SIMAX, submitted.",
  URL =          "ftp://orion.uwaterloo.ca/pub/henry/reports/distmat.ps.gz",
}

@TechReport{Kruk:1997:GND,
  author =       "S. Kruk and M. Muramatsu and F. Rendl and R. J.
                 Vanderbei and H. Wolkowicz",
  title =        "The {Gauss--Newton} direction in linear and
                 semidefinite programming",
  number =       "in progress",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Kruk:1997:SPS,
  author =       "S. Kruk and H. Wolkowicz",
  title =        "{SQ$^2$P}, Sequential quadratic constrained quadratic
                 programming",
  type =         "Research Report, CORR 97-01",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Accepted (subject to revision) for the Proceedings of
                 Nonlinear Programming Conference in Beijing in honour
                 of Professor M. J. D. Powell.",
}

@TechReport{Nazareth:1997:QCR,
  author =       "J. L. Nazareth and H. Wolkowicz and M. Zhu",
  title =        "The quasi-{Cauchy} relation and diagonal updating",
  number =       "CORR Report ??",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "In progress.",
}

@Book{Overton:1997:SP,
  editor =       "M. L. Overton and H. Wolkowicz",
  title =        "Semidefinite Programming",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "i--ii, 97--320",
  year =         "1997",
  CODEN =        "MHPGA4",
  ISBN =         "????",
  ISBN-13 =      "????",
  ISSN =         "0025-5610",
  LCCN =         "????",
  MRclass =      "90-06 (00B30)",
  MRnumber =     "MR1461376 (98a:90010)",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Dedicated to the memory of Svatopluk Poljak, Math.
                 Programming {\bf 77} (1997), no. 2, Ser. B.",
}

@Article{Ramana:1997:SDS,
  author =       "M. V. Ramana and L. Tun{\c{c}}el and H. Wolkowicz",
  title =        "Strong duality for semidefinite programming",
  journal =      j-SIAM-J-OPT,
  volume =       "7",
  number =       "3",
  pages =        "641--662",
  year =         "1997",
  CODEN =        "SJOPE8",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (49M35 49N15)",
  MRnumber =     "98m:90147",
  MRreviewer =   "J. Borwein",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "ftp://orion.uwaterloo.ca/pub/henry/reports/strongdual.ps.gz",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Rendl:1997:SFT,
  author =       "F. Rendl and H. Wolkowicz",
  title =        "A semidefinite framework for trust region subproblems
                 with applications to large scale minimization",
  journal =      j-MATH-PROG,
  volume =       "77",
  number =       "2 (Ser. B)",
  pages =        "273--299",
  year =         "1997",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  MRclass =      "90C20 (90C33)",
  MRnumber =     "98i:90063",
  MRreviewer =   "M. Teboulle",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@TechReport{Zhao:1997:SPR,
  author =       "Q. Zhao and S. Karisch and F. Rendl and H. Wolkowicz",
  title =        "Semidefinite programming relaxations for the quadratic
                 assignment problem",
  type =         "Research Report",
  number =       "CORR 95-27",
  institution =  pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1997",
  ISSN =         "0384-0115",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "To appear in J. Comb. Opt.",
  URL =          "ftp://orion.uwaterloo.ca/pub/henry/reports/qapsdp.ps.gz",
}

@TechReport{Alfakih:1998:EWG,
  author =       "A. Alfakih and H. Wolkowicz",
  title =        "On the embedability of weighted graphs in {Euclidean}
                 spaces",
  number =       "CORR 98-12",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Gruber:1998:PSP,
  author =       "G. Gruber and S. Kruk and F. Rendl and H. Wolkowicz",
  title =        "Presolving for Semidefinite Programs Without
                 Constraint Qualifications",
  number =       "CORR 98-32",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Johnson:1998:IPM,
  author =       "Charles R. Johnson and Brenda Kroschel and Henry
                 Wolkowicz",
  title =        "An interior-point method for approximate positive
                 semidefinite completions",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "9",
  number =       "2",
  pages =        "175--190",
  year =         "1998",
  CODEN =        "CPPPEF",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "90C25 (90C20)",
  MRnumber =     "99a:90154",
  MRreviewer =   "Michael L. Dowling",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "CORR Report 95-11.",
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
}

@InProceedings{Kruk:1998:SPS,
  author =       "S. Kruk and H. Wolkowicz",
  title =        "{SQ$^2$P}, sequential quadratic constrained quadratic
                 programming",
  crossref =     "Yuan:1998:ANP",
  pages =        "177--204",
  year =         "1998",
  MRclass =      "90C30 (65K05)",
  MRnumber =     "99f:90128",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Book{Pardalos:1998:SIS,
  editor =       "P. Pardalos and H. Wolkowicz",
  title =        "Special Issue on Semidefinite Programming",
  volume =       "2.1",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  year =         "1998",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "J. Combinatorial Optimization",
}

@Book{Pardalos:1998:SPI,
  editor =       "P. Pardalos and H. Wolkowicz",
  title =        "Semidefinite Programming and Interior-Point Approaches
                 for Combinatorial Optimization Problems",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "1--109",
  year =         "1998",
  ISSN =         "1382-6905 (print), 1573-2886 (electronic)",
  MRclass =      "90-06 (90C26 90C27)",
  MRnumber =     "99a:90012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Papers from the workshop held at the University of
                 Toronto, Toronto, ON, May 15--17, 1996, J. Comb. Optim.
                 {\bf 2} (1998), no. 1",
}

@Article{Wolkowicz:1998:SSP,
  author =       "H. Wolkowicz",
  title =        "Semidefiniteness of a sum: Problem Solution 19-5.5",
  journal =      "IMAGE, The Bulletin of ILAS",
  volume =       "20",
  pages =        "30--31",
  month =        apr,
  year =         "1998",
  bibdate =      "Wed Aug 31 14:57:12 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IMAGE, The Bulletin of the International Linear
                 Algebra Society",
  journal-URL =  "http://www.ilasic.org/IMAGE/",
}

@Article{Zhao:1998:SPR,
  author =       "Q. Zhao and S. E. Karisch and F. Rendl and H.
                 Wolkowicz",
  title =        "Semidefinite programming relaxations for the quadratic
                 assignment problem",
  journal =      j-J-COMB-OPTIM,
  volume =       "2",
  number =       "1",
  pages =        "71--109",
  year =         "1998",
  CODEN =        "JCOPFV",
  ISSN =         "1382-6905 (print), 1573-2886 (electronic)",
  ISSN-L =       "1382-6905",
  MRclass =      "90C27 (90C26)",
  MRnumber =     "99f:90103",
  MRreviewer =   "Yin Zhang",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Semidefinite programming and interior-point approaches
                 for combinatorial optimization problems (Toronto, ON,
                 1996)",
  fjournal =     "Journal of Combinatorial Optimization",
  journal-URL =  "http://link.springer.com/journal/10878",
}

@Article{Alfakih:1999:SED,
  author =       "A. Alfakih and A. Khandani and H. Wolkowicz",
  title =        "Solving {Euclidean} distance matrix completion
                 problems via semidefinite programming",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "12",
  number =       "1-3",
  pages =        "13--30",
  year =         "1999",
  CODEN =        "CPPPEF",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "90C22 (90C25)",
  MRnumber =     "2000e:90042",
  MRreviewer =   "Christian Michelot",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Computational optimization---a tribute to Olvi
                 Mangasarian, Part I",
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
}

@TechReport{Anjos:1999:SSR,
  author =       "M. F. Anjos and H. Wolkowicz",
  title =        "A Strengthened {SDP} Relaxation via a Second Lifting
                 For The Max-Cut Problem",
  number =       "CORR 99-55",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  pages =        "28",
  year =         "1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Anstreicher:1999:SDT,
  author =       "K. M. Anstreicher and X. Chen and H. Wolkowicz and Y.
                 Yuan",
  title =        "Strong duality for a trust-region type relaxation of
                 the quadratic assignment problem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "301",
  number =       "1-3",
  pages =        "121--136",
  year =         "1999",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "90Cxx",
  MRnumber =     "1 728 045",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Kruk:1999:PP,
  author =       "Serge Kruk and Henry Wolkowicz",
  title =        "Pseudolinear Programming",
  journal =      j-SIAM-REVIEW,
  volume =       "41",
  number =       "4",
  pages =        "795--805",
  month =        dec,
  year =         "1999",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/S0036144598335259",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "90C08 (90C30)",
  MRnumber =     "2000f:90030",
  bibdate =      "Sat Mar 29 09:56:11 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/41/4;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/33525",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1999",
}

@Article{Nazareth:1999:QCR,
  author =       "J. L. Nazareth and H. Wolkowicz and M. Zhu",
  title =        "The quasi-{Cauchy} relation and diagonal updating",
  journal =      j-SIAM-J-OPT,
  volume =       "9",
  number =       "4",
  pages =        "1192--1204 (electronic)",
  year =         "1999",
  CODEN =        "SJOPE8",
  ISSN =         "1095-7189",
  ISSN-L =       "1052-6234",
  MRclass =      "90Cxx (65Fxx)",
  MRnumber =     "1 724 783",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Dedicated to John E. Dennis, Jr., on his 60th
                 birthday",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Wolkowicz:1999:SPR,
  author =       "H. Wolkowicz and Q. Zhao",
  title =        "Semidefinite programming relaxations for the graph
                 partitioning problem",
  journal =      j-DISCRETE-APPL-MATH,
  volume =       "96/97",
  pages =        "461--479",
  year =         "1999",
  CODEN =        "DAMADU",
  ISSN =         "0166-218X (print), 1872-6771 (electronic)",
  ISSN-L =       "0166-218X",
  MRclass =      "90C35 (15A48 90C22)",
  MRnumber =     "1 724 735",
  MRreviewer =   "Franz Rendl",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Selected for the special Editors' Choice, Edition
                 1999",
  fjournal =     "Discrete Applied Mathematics. Combinatorial
                 Algorithms, Optimization and Computer Science",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0166218X",
}

@Article{Zhu:1999:QCR,
  author =       "M. Zhu and J. L. Nazareth and H. Wolkowicz",
  title =        "The Quasi-{Cauchy} Relation and Diagonal Updating",
  journal =      j-SIAM-J-OPT,
  volume =       "9",
  number =       "4",
  pages =        "1192--1204",
  month =        sep,
  year =         "1999",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S1052623498331793",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (49M30 65F30)",
  MRnumber =     "MR1724783 (2000k:90052)",
  MRreviewer =   "A. M. Galperin",
  bibdate =      "Tue Sep 30 16:21:28 MDT 2003",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/9/4;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 MathSciNet database",
  note =         "Dedicated to John E. Dennis, Jr., on his 60th
                 birthday.",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/33179",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@TechReport{Falkner:19xx:SRG,
  author =       "J. Falkner and F. Rendl and H. Wolkowicz and Q. Zhao",
  title =        "Semidefinite relaxations for the graph partitioning
                 problem",
  type =         "Research Report",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "19xx",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Karisch:19xx:QLR,
  author =       "S. Karisch and F. Rendl and H. Wolkowicz and Q. Zhao",
  title =        "Quadratic {Lagrangian} relaxation for the quadratic
                 assignment problem",
  type =         "Research Report",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "19xx",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Unpublished{Rendl:19xx:IPM,
  author =       "F. Rendl and B. Vanderbei and H. Wolkowicz",
  title =        "An interior-point methods for max-min eigenvalue
                 problems",
  year =         "19xx",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Submitted to SIOPT, CORR 93-20.",
}

@Article{Rendl:19xx:MME,
  author =       "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
  title =        "Max-min eigenvalue problems, primal-dual interior
                 point algorithms, and trust region subproblems",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "??",
  number =       "??",
  pages =        "????",
  year =         "19xx",
  ISSN =         "1055-6788",
  ISSN-L =       "1026-7670",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Optimization Methods and Software",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
}

@Unpublished{Rendl:19xx:QNF,
  author =       "F. Rendl and H. Wolkowicz",
  title =        "A quasi-{Newton} framework for the graph partitioning
                 problem",
  year =         "19xx",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "24 pages in manuscript --- in progress.",
}

@InCollection{Alfakih:2000:MCP,
  author =       "A. Alfakih and H. Wolkowicz",
  title =        "Matrix Completion Problems",
  crossref =     "Wolkowicz:2000:HSP",
  pages =        "533--545",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/978-1-4615-4381-7_18",
  MRclass =      "90C22 (65F30)",
  MRnumber =     "1778240",
  bibdate =      "Fri Jun 21 14:55:30 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Alfakih:2000:NSP,
  author =       "A. Alfakih and H. Wolkowicz",
  title =        "A New Semidefinite Programming Model for Large Sparse
                 {Euclidean} Distance Matrix Completion Problems",
  number =       "CORR 2000-37",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "In progress.",
}

@Article{Anstreicher:2000:LRQ,
  author =       "Kurt M. Anstreicher and Henry Wolkowicz",
  title =        "On {Lagrangian} Relaxation of Quadratic Matrix
                 Constraints",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "1",
  pages =        "41--55",
  year =         "2000",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479898340299",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "90C20 (90C22 90C46)",
  MRnumber =     "1779715 (2001f:90032)",
  MRreviewer =   "Franz Rendl",
  bibdate =      "Fri Oct 27 07:23:35 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/1;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/34029",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InCollection{Kruk:2000:GNP,
  author =       "S. Kruk and H. Wolkowicz",
  title =        "General Nonlinear Programming",
  crossref =     "Wolkowicz:2000:HSP",
  pages =        "563--575",
  year =         "2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@InCollection{Kruk:2000:SQC,
  author =       "Serge Kruk and Henry Wolkowicz",
  booktitle =    "Handbook of semidefinite programming",
  title =        "Sequential, quadratic constrained, quadratic
                 programming for general nonlinear programming",
  volume =       "27",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "563--575",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/978-1-4615-4381-7_20",
  MRclass =      "90C22 (90C55)",
  MRnumber =     "1778242",
  bibdate =      "Fri Jun 21 14:55:30 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Internat. Ser. Oper. Res. Management Sci.",
  acknowledgement = ack-nhfb,
}

@InCollection{Nesterov:2000:SPR,
  author =       "Y. E. Nesterov and H. Wolkowicz and Y. Ye",
  title =        "Semidefinite Programming Relaxations of Nonconvex
                 Quadratic Optimization",
  crossref =     "Wolkowicz:2000:HSP",
  pages =        "361--419",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/978-1-4615-4381-7_13",
  MRclass =      "90C22 (90C26)",
  MRnumber =     "1778235",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  xxpages =      "361--420",
}

@InCollection{Wolkowicz:2000:SLR,
  author =       "H. Wolkowicz",
  title =        "Semidefinite and {Lagrangian} Relaxations for hard
                 combinatorial problems",
  crossref =     "Powell:2000:SMO",
  pages =        "269--309",
  year =         "2000",
  MRclass =      "90C22 (90C27)",
  MRnumber =     "1770276 (2001e:90053)",
  MRreviewer =   "Peter Butkovi{\v{c}}",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@InCollection{Wolkowicz:2000:SPA,
  author =       "H. Wolkowicz",
  title =        "Semidefinite Programming Approaches to the Quadratic
                 Assignment Problem",
  crossref =     "Pardalos:2000:NAP",
  pages =        "143--174",
  year =         "2000",
  MRclass =      "90C27 (90C22)",
  MRnumber =     "1893727",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Alfakih:2001:TTE,
  author =       "A. Alfakih and H. Wolkowicz",
  title =        "Two Theorems On {Euclidean} Distance Matrices and
                 {Gale} Transform",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "340",
  number =       "1-3",
  pages =        "149--154",
  year =         "2001",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@TechReport{Anjos:2001:NRPa,
  author =       "M. F. Anjos and H. Wolkowicz",
  title =        "A New Rounding Procedure for the Max-Cut Problem {I}:
                 Empirical Results",
  number =       "CORR 2000-in progress",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Anjos:2001:NRPb,
  author =       "M. F. Anjos and H. Wolkowicz",
  title =        "A New Rounding Procedure for the Max-Cut Problem {II}:
                 Theoretical Results",
  number =       "CORR 2000-in progress",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Anjos:2001:SPA,
  author =       "M. F. Anjos and N. Higham and M. Takouda and H.
                 Wolkowicz",
  title =        "A semidefinite programming approach for the closest
                 correlation matrix problem",
  number =       "CORR 2001-in progress",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@InCollection{Anjos:2001:SSP,
  author =       "Miguel F. Anjos and Henry Wolkowicz",
  booktitle =    "Advances in convex analysis and global optimization
                 ({Pythagorion}, 2000)",
  title =        "Strengthened semidefinite programming relaxations for
                 the max-cut problem",
  volume =       "54",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "409--420",
  year =         "2001",
  DOI =          "https://doi.org/10.1007/978-1-4613-0279-7_25",
  MRclass =      "90C22 (90C27 90C57)",
  MRnumber =     "1846167",
  bibdate =      "Fri Jun 21 14:55:30 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Nonconvex Optim. Appl.",
  acknowledgement = ack-nhfb,
}

@TechReport{Gonzalez-Lima:2001:SIM,
  author =       "M. Gonzalez-Lima and H. Wei and H. Wolkowicz",
  title =        "A Simple Iterative Method for Linear Programming",
  number =       "CORR 2001-in progress",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Grodzevich:2001:BIM,
  author =       "O. Grodzevich and H. Wei and H. Wolkowicz",
  title =        "Broadband and {IP}: Modelling, Scheduling, and
                 Optimization",
  number =       "CORR 2001-in progress",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Kruk:2001:GND,
  author =       "S. Kruk and M. Muramatsu and F. Rendl and R. J.
                 Vanderbei and H. Wolkowicz",
  title =        "The {Gauss--Newton} direction in linear and
                 semidefinite programming",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "15",
  number =       "1",
  pages =        "1--27",
  year =         "2001",
  CODEN =        "OMSOE2",
  DOI =          "https://doi.org/10.1080/10556780108805808",
  ISSN =         "1055-6788",
  ISSN-L =       "1026-7670",
  MRclass =      "90C22 (90C51)",
  MRnumber =     "1891034 (2003b:90063)",
  MRreviewer =   "Marina Alex Epelman",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Optimization Methods and Software",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
}

@TechReport{Sotirov:2001:SMS,
  author =       "R. Sotirov and H. Wolkowicz",
  title =        "The Simple Method for the {SDP} Relaxation of the
                 {QAP}",
  number =       "in progress",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@InCollection{Wolkowicz:2001:DSP,
  author =       "H. Wolkowicz",
  title =        "Duality for Semidefinite Programming",
  crossref =     "Floudas:2001:EO",
  pages =        "??--??",
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Wolkowicz:2001:SSP,
  author =       "H. Wolkowicz",
  title =        "Solving Semidefinite Programs using Preconditioned
                 Conjugate Graditents",
  number =       "CORR 2001-49",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Alfakih:2002:EDM,
  author =       "A. Alfakih and H. Wolkowicz",
  title =        "{Euclidean} Distance Matrices and the Molecular
                 Conformation Problem",
  number =       "17",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Alfakih:2002:TTE,
  author =       "Abdo Y. Alfakih and Henry Wolkowicz",
  title =        "Two theorems on {Euclidean} distance matrices and
                 {Gale} transform",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "340",
  pages =        "149--154",
  year =         "2002",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/S0024-3795(01)00403-7",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "51K05 (15A48 52B35)",
  MRnumber =     "1869424 (2002i:51010)",
  bibdate =      "Wed Aug 25 15:49:36 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Anjos:2002:GSM,
  author =       "Miguel F. Anjos and Henry Wolkowicz",
  title =        "Geometry of semidefinite max-cut relaxations via
                 matrix ranks",
  journal =      j-J-COMB-OPTIM,
  volume =       "6",
  number =       "3",
  pages =        "237--270",
  year =         "2002",
  CODEN =        "JCOPFV",
  DOI =          "https://doi.org/10.1023/A:1014895808844",
  ISSN =         "1382-6905 (print), 1573-2886 (electronic)",
  ISSN-L =       "1382-6905",
  MRclass =      "90C27 (90C22)",
  MRnumber =     "1920210 (2003h:90057)",
  MRreviewer =   "Jos F. Sturm",
  bibdate =      "Wed Aug 25 15:49:38 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "New approaches for hard discrete optimization
                 (Waterloo, ON, 2001). CORR 2001-39",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Combinatorial Optimization",
  journal-URL =  "http://link.springer.com/journal/10878",
  xxtitle =      "Geometry of Semidefinite Max-Cut Relaxations via
                 Ranks",
}

@Article{Anjos:2002:SPD,
  author =       "M. F. Anjos and H. Wolkowicz",
  title =        "Semidefinite Programming for Discrete Optimization and
                 Matrix Completion Problems",
  journal =      j-DISCRETE-APPL-MATH,
  volume =       "123/124",
  number =       "CORR 2000-38",
  pages =        "507--571",
  year =         "2002",
  CODEN =        "DAMADU",
  ISSN =         "0166-218X (print), 1872-6771 (electronic)",
  ISSN-L =       "0166-218X",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  fjournal =     "Discrete Applied Mathematics. Combinatorial
                 Algorithms, Optimization and Computer Science",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0166218X",
}

@Article{Anjos:2002:SSR,
  author =       "Miguel F. Anjos and Henry Wolkowicz",
  title =        "Strengthened semidefinite relaxations via a second
                 lifting for the {Max-Cut} problem",
  journal =      j-DISCRETE-APPL-MATH,
  volume =       "119",
  number =       "1-2",
  pages =        "79--106",
  year =         "2002",
  CODEN =        "DAMADU",
  DOI =          "https://doi.org/10.1016/S0166-218X(01)00266-9",
  ISSN =         "0166-218X (print), 1872-6771 (electronic)",
  ISSN-L =       "0166-218X",
  MRclass =      "90C27 (68Q99 68R10 90C22)",
  MRnumber =     "1892412 (2003c:90084)",
  MRreviewer =   "Konrad Engel",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Foundations of heuristics in combinatorial
                 optimization",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete Applied Mathematics. The Journal of
                 Combinatorial Algorithms, Informatics and Computational
                 Sciences",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0166218X",
  xxtitle =      "A Strengthened {SDP} Relaxation via a Second Lifting
                 for the Max-Cut Problem",
}

@TechReport{Fortin:2002:STR,
  author =       "C. Fortin and H. Wolkowicz",
  title =        "A Survey of the Trust Region Subproblem Within a
                 Semidefinite Programming Framework",
  number =       "CORR 2002-22",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html\#surveytrs",
}

@Book{Pardalos:2002:NAH,
  editor =       "P. Pardalos and H. Wolkowicz",
  title =        "New Approaches to Hard Discrete Optimization",
  volume =       "6 \#3",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "235--352",
  year =         "2002",
  ISSN =         "1382-6905 (print), 1573-2886 (electronic)",
  MRclass =      "",
  MRnumber =     "",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Papers from the workshop held at the University of
                 Waterloo, ON, May, 2001, J. Comb. Opt.",
}

@TechReport{Rendl:2002:NSH,
  author =       "F. Rendl and R. Sotirov and H. Wolkowicz",
  title =        "A Note on a Simplified {HKM} Direction for Special
                 Classes of {SDP}",
  number =       "CORR Report 2002-16",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@TechReport{Sotirov:2002:SLT,
  author =       "R. Sotirov and H. Wolkowicz",
  title =        "Solving {Lov{\'a}sz} Theta Function Problems Using an
                 Inexact {Gauss--Newton} method",
  number =       "in progress",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Wolkowicz:2002:NLS,
  author =       "Henry Wolkowicz",
  title =        "A Note on Lack of Strong Duality for Quadratic
                 Problems with Orthogonal Constraints",
  journal =      j-EUR-J-OPER-RES,
  volume =       "143",
  number =       "2",
  pages =        "356--364",
  year =         "2002",
  CODEN =        "EJORDT",
  DOI =          "https://doi.org/10.1016/S0377-2217(02)00295-3",
  ISSN =         "0377-2217 (print), 1872-6860 (electronic)",
  ISSN-L =       "0377-2217",
  MRclass =      "90C20 (90C46)",
  MRnumber =     "1940977 (2003h:90044)",
  MRreviewer =   "Franz Rendl",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Interior point methods (Budapest, 2000)",
  acknowledgement = ack-nhfb,
  fjournal =     "European Journal of Operational Research",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03772217",
}

@TechReport{Wolkowicz:2002:SPa,
  author =       "H. Wolkowicz",
  title =        "Semidefinite Programming",
  number =       "4",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@InCollection{Wolkowicz:2002:SPb,
  author =       "H. Wolkowicz",
  title =        "Semidefinite Programming",
  crossref =     "Pardalos:2002:HAO",
  pages =        "40--50",
  year =         "2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Wolkowicz:2002:SPD,
  author =       "Henry Wolkowicz and Miguel F. Anjos",
  title =        "Semidefinite programming for discrete optimization and
                 matrix completion problems",
  journal =      j-DISCRETE-APPL-MATH,
  volume =       "123",
  number =       "1-3",
  pages =        "513--577",
  year =         "2002",
  CODEN =        "DAMADU",
  DOI =          "https://doi.org/10.1016/S0166-218X(01)00352-3",
  ISSN =         "0166-218X (print), 1872-6771 (electronic)",
  ISSN-L =       "0166-218X",
  MRclass =      "90C22 (90C27)",
  MRnumber =     "1922345 (2003f:90054)",
  MRreviewer =   "Ji-Ming Peng",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Workshop on Discrete Optimization, DO'99 (Piscataway,
                 NJ)",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete Applied Mathematics. The Journal of
                 Combinatorial Algorithms, Informatics and Computational
                 Sciences",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0166218X",
}

@Article{Fortin:2003:TRS,
  author =       "C. Fortin and H. Wolkowicz",
  title =        "The Trust Region Subproblem and Semidefinite
                 Programming",
  journal =      j-OPTIM-METHODS-SOFTW,
  number =       "",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2003",
  CODEN =        "OMSOE2",
  ISSN =         "1055-6788",
  ISSN-L =       "1026-7670",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "To appear in the special issue dedicated to Jochem
                 Zowes 60th birthday, Taylor and Francis Publisher",
  fjournal =     "Optimization Methods and Software",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
}

@Article{Kruk:2003:CIS,
  author =       "S. Kruk and H. Wolkowicz",
  title =        "Convergence of an infeasible short-step path-following
                 algorithm based on the {Gauss--Newton} direction",
  journal =      j-J-APPL-MATH,
  volume =       "??",
  number =       "CORR 2000-23",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  pages =        "??--??",
  year =         "2003",
  CODEN =        "",
  ISSN =         "1110-757x (print), 1687-0042 (electronic)",
  ISSN-L =       "1110-757X",
  bibsource =    "http://jam.hindawi.com/contents.html;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "To appear.",
  fjournal =     "Journal of Applied Mathematics",
  journal-URL =  "http://www.hindawi.com/journals/jam/",
}

@Article{Kruk:2003:CSS,
  author =       "Serge Kruk and Henry Wolkowicz",
  title =        "Convergence of a short-step primal-dual algorithm
                 based on the {Gauss--Newton} direction",
  journal =      j-J-APPL-MATH,
  volume =       "2003",
  number =       "10",
  pages =        "517--534",
  year =         "2003",
  DOI =          "https://doi.org/10.1155/S1110757X03301081",
  ISSN =         "1110-757x (print), 1687-0042 (electronic)",
  ISSN-L =       "1110-757X",
  MRclass =      "90C53 (65K05)",
  MRnumber =     "2013788 (2005a:90193)",
  MRreviewer =   "Heinz H. Bauschke",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "https://www.hindawi.com/journals/jam/2003/836784/abs/",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Applied Mathematics",
  journal-URL =  "http://www.hindawi.com/journals/jam/",
}

@TechReport{Tuncel:2003:SEU,
  author =       "L. Tun{\c{c}}el and H. Wolkowicz",
  title =        "Strengthened Existence and Uniqueness Conditions for
                 Search Directions in Semidefinite Programming",
  number =       "CORR 2003-20",
  institution =  inst-UNIV-WATERLOO,
  address =      inst-UNIV-WATERLOO:adr,
  year =         "2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Article{Fortin:2004:TRS,
  author =       "Charles Fortin and Henry Wolkowicz",
  title =        "The trust region subproblem and semidefinite
                 programming",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "19",
  number =       "1",
  pages =        "41--67",
  year =         "2004",
  DOI =          "https://doi.org/10.1080/10556780410001647186",
  ISSN =         "1055-6788",
  ISSN-L =       "1026-7670",
  MRclass =      "90C22 (90-06)",
  MRnumber =     "2062235 (2005c:90065)",
  MRreviewer =   "Ya Xiang Yuan",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Optimization Methods \& Software",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
}

@Article{Wolkowicz:2004:SSP,
  author =       "Henry Wolkowicz",
  title =        "Solving semidefinite programs using preconditioned
                 conjugate gradients",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "19",
  number =       "6",
  pages =        "653--672",
  year =         "2004",
  DOI =          "https://doi.org/10.1080/1055678042000193162",
  ISSN =         "1055-6788",
  ISSN-L =       "1026-7670",
  MRclass =      "90C22 (90C52)",
  MRnumber =     "2102220 (2005h:90091)",
  MRreviewer =   "E. Alper Y{\i}ld{\i}r{\i}m",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Optimization Methods \& Software",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
}

@Article{Al-Homidan:2005:AEC,
  author =       "Suliman Al-Homidan and Henry Wolkowicz",
  title =        "Approximate and exact completion problems for
                 {Euclidean} distance matrices using semidefinite
                 programming",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "406",
  number =       "??",
  pages =        "109--141",
  day =          "1",
  month =        sep,
  year =         "2005",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/j.laa.2005.03.021",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "90C22",
  MRnumber =     "2156431 (2006m:90115)",
  MRreviewer =   "Anhua Lin",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Tuncel:2005:SEU,
  author =       "Levent Tun{\c{c}}el and Henry Wolkowicz",
  title =        "Strengthened existence and uniqueness conditions for
                 search directions in semidefinite programming",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "400",
  number =       "1",
  pages =        "31--60",
  day =          "1",
  month =        may,
  year =         "2005",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/j.laa.2004.12.010",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "90C22 (15A39)",
  MRnumber =     "2131915 (2006a:90070)",
  MRreviewer =   "Etienne de Klerk",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@InProceedings{Anjos:2006:NMS,
  author =       "Miguel F. Anjos and Michael Desroches and Anwar Haque
                 and Oleg Grodzevich and Hua Wei and Henry Wolkowicz",
  booktitle =    "{IEEE Global Telecommunications Conference, 2006.
                 GLOBECOM '06}",
  title =        "{NGL02-1}: Multi-Stage Investment Decision under
                 Contingent Demand for Networking Planning",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "1--5",
  year =         "2006",
  DOI =          "https://doi.org/10.1109/GLOCOM.2006.249",
  bibdate =      "Tue Mar 5 11:55:18 MST 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4150879",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=4150629",
}

@Article{Alfakih:2007:SNS,
  author =       "A. Y. Alfakih and Henry Wolkowicz",
  title =        "Some necessary and some sufficient trace inequalities
                 for {Euclidean} distance matrices",
  journal =      j-LIN-MULT-ALGEBRA,
  volume =       "55",
  number =       "5",
  pages =        "499--506",
  year =         "2007",
  CODEN =        "LNMLAZ",
  DOI =          "https://doi.org/10.1080/03081080701241570",
  ISSN =         "0308-1087 (print), 1563-5139 (electronic)",
  ISSN-L =       "0308-1087",
  MRclass =      "15A45 (15A57)",
  MRnumber =     "2363550 (2009a:15069)",
  MRreviewer =   "K. Veseli{\'c}",
  bibdate =      "Tue Sep 20 15:13:04 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/03081080701241570",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Multilinear Algebra",
  journal-URL =  "http://www.tandfonline.com/loi/glma20",
  onlinedate =   "21 Sep 2007",
}

@Article{Andersen:2007:FSI,
  author =       "Erling Andersen and Etienne de Klerk and Levent
                 Tun{\c{c}}el and Henry Wolkowicz and Shuzhong Zhang",
  title =        "Foreword: special issue on large-scale nonlinear and
                 semidefinite programming",
  journal =      j-MATH-PROG,
  volume =       "109",
  number =       "2-3, Ser. B",
  pages =        "207--209",
  year =         "2007",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-006-0037-9",
  ISSN =         "0025-5610",
  MRclass =      "90-06 (90C06 90C32)",
  MRnumber =     "2295140",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Bhatia:2007:PIC,
  author =       "Rajendra Bhatia and Robert Guralnick and Steve
                 Kirkland and Henry Wolkowicz",
  title =        "Preface to the 12th {ILAS} {Conference} {Proceedings},
                 {Regina} 2005",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "421",
  number =       "1",
  pages =        "1--2",
  year =         "2007",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/j.laa.2006.10.023",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15-06",
  MRnumber =     "2290680",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Held in Regina, SK, June 26--29, 2005",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Potaptchik:2008:LSP,
  author =       "Marina Potaptchik and Levent Tun{\c{c}}el and Henry
                 Wolkowicz",
  title =        "Large scale portfolio optimization with piecewise
                 linear transaction costs",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "23",
  number =       "6",
  pages =        "929--952",
  year =         "2008",
  DOI =          "https://doi.org/10.1080/00207160802263858",
  ISSN =         "1055-6788",
  ISSN-L =       "1026-7670",
  MRclass =      "91B28 (65K10 90C20 90C31 90C51)",
  MRnumber =     "2464694 (2009i:91058)",
  MRreviewer =   "Alexander Engau",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Optimization Methods \& Software",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
}

@Article{Ding:2009:LDS,
  author =       "Yichuan Ding and Henry Wolkowicz",
  title =        "A low-dimensional semidefinite relaxation for the
                 quadratic assignment problem",
  journal =      j-MATH-OP-RES,
  volume =       "34",
  number =       "4",
  pages =        "1008--1022",
  year =         "2009",
  CODEN =        "MOREDQ",
  DOI =          "https://doi.org/10.1287/moor.1090.0419",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C26 (65K05 65K10 90B80 90C22)",
  MRnumber =     "2573507",
  MRreviewer =   "Wei Hong Yang",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
}

@Article{Gonzalez-Lima:2009:SPD,
  author =       "Maria Gonzalez-Lima and Hua Wei and Henry Wolkowicz",
  title =        "A stable primal-dual approach for linear programming
                 under nondegeneracy assumptions",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "44",
  number =       "2",
  pages =        "213--247",
  year =         "2009",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-007-9157-2",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "90C05 (90C51)",
  MRnumber =     "2556851 (2010i:90056)",
  MRreviewer =   "K. Zimmermann",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
}

@Article{Grodzevich:2009:RUP,
  author =       "Oleg Grodzevich and Henry Wolkowicz",
  title =        "Regularization using a parameterized trust region
                 subproblem",
  journal =      j-MATH-PROG,
  volume =       "116",
  number =       "1-2, Ser. B",
  pages =        "193--220",
  year =         "2009",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-007-0126-4",
  ISSN =         "0025-5610",
  MRclass =      "65J20 (90C90 94A08)",
  MRnumber =     "2421279 (2009e:65086)",
  MRreviewer =   "Akhtar A. Khan",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Ding:2010:SNL,
  author =       "Yichuan Ding and Nathan Krislock and Jianwei Qian and
                 Henry Wolkowicz",
  title =        "Sensor network localization, {Euclidean} distance
                 matrix completions, and graph realization",
  journal =      j-OPTIM-ENG,
  volume =       "11",
  number =       "1",
  pages =        "45--66",
  year =         "2010",
  DOI =          "https://doi.org/10.1007/s11081-008-9072-0",
  ISSN =         "1389-4420 (print), 1573-2924 (electronic)",
  ISSN-L =       "1389-4420",
  MRclass =      "90B10 (90B80 90C22)",
  MRnumber =     "2601732 (2011b:90012)",
  MRreviewer =   "Ning Ruan",
  bibdate =      "Wed Aug 25 15:49:39 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://link.springer.com/article/10.1007/s11081-008-9072-0",
  acknowledgement = ack-nhfb,
  fjournal =     "Optimization and Engineering. International
                 Multidisciplinary Journal to Promote Optimization
                 Theory \& Applications in Engineering Sciences",
  journal-URL =  "http://link.springer.com/journal/11081",
}

@Article{Krislock:2010:ESN,
  author =       "Nathan Krislock and Henry Wolkowicz",
  title =        "Explicit Sensor Network Localization using
                 Semidefinite Representations and Facial Reductions",
  journal =      j-SIAM-J-OPT,
  volume =       "20",
  number =       "5",
  pages =        "2679--2708",
  month =        "????",
  year =         "2010",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/090759392",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C35 (90B10 90C22)",
  MRnumber =     "2678410 (2011g:90208)",
  MRreviewer =   "Michael Patriksson",
  bibdate =      "Mon Nov 29 07:14:26 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/20/5;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Wei:2010:GMI,
  author =       "Hua Wei and Henry Wolkowicz",
  title =        "Generating and measuring instances of hard
                 semidefinite programs",
  journal =      j-MATH-PROG,
  volume =       "125",
  number =       "1, Ser. A",
  pages =        "31--45",
  year =         "2010",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-008-0256-3",
  ISSN =         "0025-5610",
  MRclass =      "90C22 (90C51)",
  MRnumber =     "2718693 (2011h:90105)",
  MRreviewer =   "Didier Henrion",
  bibdate =      "Fri Jun 21 14:55:30 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@InCollection{Wolkowicz:2010:GEB,
  author =       "Henry Wolkowicz",
  booktitle =    "Nonlinear analysis and variational problems",
  title =        "Generating eigenvalue bounds using optimization",
  volume =       "35",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "465--490",
  year =         "2010",
  DOI =          "https://doi.org/10.1007/978-1-4419-0158-3_29",
  MRclass =      "15A42 (90C25 90C31 90C32)",
  MRnumber =     "2581881 (2011b:15052)",
  MRreviewer =   "Jorma Kaarlo Merikoski",
  bibdate =      "Wed Aug 25 15:49:40 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Springer Optim. Appl.",
  acknowledgement = ack-nhfb,
}

@Article{Alfakih:2011:EDM,
  author =       "Abdo Y. Alfakih and Miguel F. Anjos and Veronica
                 Piccialli and Henry Wolkowicz",
  title =        "{Euclidean} distance matrices, semidefinite
                 programming and sensor network localization",
  journal =      j-PORT-MATH,
  volume =       "68",
  number =       "1",
  pages =        "53--102",
  year =         "2011",
  DOI =          "https://doi.org/10.4171/PM/1881",
  ISSN =         "0032-5155 (print), 1662-2758 (electronic)",
  ISSN-L =       "0032-5155",
  MRclass =      "51K05 (15A83 90B80 90C22)",
  MRnumber =     "2815953 (2012g:51020)",
  bibdate =      "Fri Jun 21 14:55:30 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  URL =          "http://www.ems-ph.org/journals/show_abstract.php?issn=0032-5155&vol=68&iss=1&rank=4",
  acknowledgement = ack-nhfb,
  fjournal =     "Portugaliae Mathematica. A Journal of the Portuguese
                 Mathematical Society",
  journal-URL =  "http://www.ems-ph.org/journals/journal.php?jrn=pm",
}

@Article{Ding:2011:ESR,
  author =       "Yichuan Ding and Dongdong Ge and Henry Wolkowicz",
  title =        "On equivalence of semidefinite relaxations for
                 quadratic matrix programming",
  journal =      j-MATH-OP-RES,
  volume =       "36",
  number =       "1",
  pages =        "88--104",
  year =         "2011",
  CODEN =        "MOREDQ",
  DOI =          "https://doi.org/10.1287/moor.1100.0473",
  ISSN =         "0364-765x (print), 1526-5471 (electronic)",
  ISSN-L =       "0364-765X",
  MRclass =      "90C20 (90C22)",
  MRnumber =     "2799394 (2012h:90137)",
  MRreviewer =   "Amir Beck",
  bibdate =      "Fri Jun 21 14:55:30 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Operations Research",
  journal-URL =  "http://pubsonline.informs.org/loi/moor",
}

@Article{Doan:2012:RAS,
  author =       "Xuan Vinh Doan and Serge Kruk and Henry Wolkowicz",
  title =        "A robust algorithm for semidefinite programming",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "27",
  number =       "4-5",
  pages =        "667--693",
  year =         "2012",
  DOI =          "https://doi.org/10.1080/10556788.2011.610456",
  ISSN =         "1055-6788",
  ISSN-L =       "1026-7670",
  MRclass =      "90C22 (90C51)",
  MRnumber =     "2946052",
  MRreviewer =   "Bogdan Dumitrescu",
  bibdate =      "Fri Jun 21 14:55:30 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Optimization Methods and Software",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
}

@InCollection{Krislock:2012:EDM,
  author =       "Nathan Krislock and Henry Wolkowicz",
  booktitle =    "Handbook on semidefinite, conic and polynomial
                 optimization",
  title =        "{Euclidean} distance matrices and applications",
  volume =       "166",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "879--914",
  year =         "2012",
  DOI =          "https://doi.org/10.1007/978-1-4614-0769-0_30",
  MRclass =      "62H11 (15A99 90C22)",
  MRnumber =     "2894673",
  bibdate =      "Fri Jun 21 14:55:30 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Internat. Ser. Oper. Res. Management Sci.",
  acknowledgement = ack-nhfb,
}

@Article{Lin:2012:EMI,
  author =       "Minghua Lin and Henry Wolkowicz",
  title =        "An eigenvalue majorization inequality for positive
                 semidefinite block matrices",
  journal =      j-LIN-MULT-ALGEBRA,
  volume =       "60",
  number =       "11--12",
  pages =        "1365--1368",
  year =         "2012",
  CODEN =        "LNMLAZ",
  DOI =          "https://doi.org/10.1080/03081087.2011.651723",
  ISSN =         "0308-1087 (print), 1563-5139 (electronic)",
  ISSN-L =       "0308-1087",
  MRclass =      "15A42",
  MRnumber =     "2989768",
  MRreviewer =   "Xiao-Dong Zhang",
  bibdate =      "Tue Sep 20 15:13:48 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/03081087.2011.651723",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Multilinear Algebra",
  journal-URL =  "http://www.tandfonline.com/loi/glma20",
  onlinedate =   "16 Jan 2012",
}

@InCollection{MR2894673,
  author =       "Nathan Krislock and Henry Wolkowicz",
  booktitle =    "Handbook on semidefinite, conic and polynomial
                 optimization",
  title =        "{Euclidean} distance matrices and applications",
  volume =       "166",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "879--914",
  year =         "2012",
  DOI =          "https://doi.org/10.1007/978-1-4614-0769-0_30",
  MRclass =      "62H11 (15A99 90C22)",
  MRnumber =     "2894673",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Internat. Ser. Oper. Res. Management Sci.",
  acknowledgement = ack-nhfb,
}

@Article{Tuncel:2012:SDM,
  author =       "Levent Tun{\c{c}}el and Henry Wolkowicz",
  title =        "Strong duality and minimal representations for cone
                 optimization",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "53",
  number =       "2",
  pages =        "619--648",
  year =         "2012",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-012-9480-0",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "90C46 (90C22)",
  MRnumber =     "2988175",
  MRreviewer =   "Sorin-Mihai Grad",
  bibdate =      "Fri Jun 21 14:55:30 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational optimization and applications",
  journal-URL =  "http://link.springer.com/journal/10589",
}

@Article{Alipanahi:2013:DPS,
  author =       "Babak Alipanahi and Nathan Krislock and Ali Ghodsi and
                 Henry Wolkowicz and Logan Donaldson and Ming Li",
  title =        "Determining protein structures from {NOESY} distance
                 constraints by semidefinite programming",
  journal =      j-J-COMPUT-BIOL,
  volume =       "20",
  number =       "4",
  pages =        "296--310",
  year =         "2013",
  CODEN =        "JCOBEM",
  DOI =          "https://doi.org/10.1089/cmb.2012.0089",
  ISSN =         "1066-5277 (print), 1557-8666 (electronic)",
  ISSN-L =       "1066-5277",
  MRclass =      "92D20 (90C22)",
  MRnumber =     "3042029",
  bibdate =      "Mon Mar 31 08:46:45 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Biology",
  journal-URL =  "http://online.liebertpub.com/cmb",
}

@Article{Bauschke:2013:PSI,
  author =       "Heinz H. Bauschke and Michel Th{\'e}ra and Henry
                 Wolkowicz",
  title =        "Preface [Special issue: {Computational and analytical
                 mathematics}]",
  journal =      j-MATH-PROG,
  volume =       "139",
  number =       "1-2, Ser. B",
  pages =        "1--3",
  year =         "2013",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-013-0656-x",
  ISSN =         "0025-5610",
  MRclass =      "90-06 (49-06)",
  MRnumber =     "3070089",
  bibdate =      "Mon Mar 31 08:46:45 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@InCollection{Cheung:2013:PRD,
  author =       "Yuen-Lam Cheung and Simon Schurr and Henry Wolkowicz",
  booktitle =    "Computational and analytical mathematics",
  title =        "Preprocessing and regularization for degenerate
                 semidefinite programs",
  volume =       "50",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "251--303",
  year =         "2013",
  DOI =          "https://doi.org/10.1007/978-1-4614-7621-4_12",
  MRclass =      "90C22 (90C46)",
  MRnumber =     "3108430",
  MRreviewer =   "Sorin-Mihai Grad",
  bibdate =      "Sat Aug 08 16:27:47 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Springer Proc. Math. Stat.",
  acknowledgement = ack-nhfb,
}

@InCollection{MR3108430,
  author =       "Yuen-Lam Cheung and Simon Schurr and Henry Wolkowicz",
  booktitle =    "Computational and analytical mathematics",
  title =        "Preprocessing and regularization for degenerate
                 semidefinite programs",
  volume =       "50",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "251--303",
  year =         "2013",
  DOI =          "https://doi.org/10.1007/978-1-4614-7621-4_12",
  MRclass =      "90C22 (90C46)",
  MRnumber =     "3108430",
  MRreviewer =   "Sorin-Mihai Grad",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Springer Proc. Math. Stat.",
  acknowledgement = ack-nhfb,
}

@Article{Burkowski:2014:EUS,
  author =       "Forbes Burkowski and Yuen-Lam Cheung and Henry
                 Wolkowicz",
  title =        "Efficient use of semidefinite programming for
                 selection of rotamers in protein conformations",
  journal =      j-INFORMS-J-COMPUT,
  volume =       "26",
  number =       "4",
  pages =        "748--766",
  year =         "2014",
  DOI =          "https://doi.org/10.1287/ijoc.2014.0596",
  ISSN =         "1091-9856 (print), 1526-5528 (electronic)",
  ISSN-L =       "1091-9856",
  MRclass =      "92D20 (90C22 90C90)",
  MRnumber =     "3265805",
  bibdate =      "Sat Aug 08 16:27:47 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "INFORMS Journal on Computing",
  journal-URL =  "http://pubsonline.informs.org/journal/ijoc",
}

@Article{Pong:2014:GTR,
  author =       "Ting Kei Pong and Henry Wolkowicz",
  title =        "The generalized trust region subproblem",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "58",
  number =       "2",
  pages =        "273--322",
  year =         "2014",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-013-9635-7",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "90C20 (90C26 90C55)",
  MRnumber =     "3201963",
  bibdate =      "Sat Aug 08 16:27:47 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
}

@Article{Drusvyatskiy:2015:CSS,
  author =       "Dmitriy Drusvyatskiy and G{\'a}bor Pataki and Henry
                 Wolkowicz",
  title =        "Coordinate Shadows of Semidefinite and {Euclidean}
                 Distance Matrices",
  journal =      j-SIAM-J-OPT,
  volume =       "25",
  number =       "2",
  pages =        "1160--1178",
  month =        "????",
  year =         "2015",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/140968318",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  bibdate =      "Sat Aug 8 07:33:46 MDT 2015",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/25/2;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  onlinedate =   "January 2015",
}

@Article{Drusvyatskiy:2015:EPI,
  author =       "D. Drusvyatskiy and S. A. Vavasis and H. Wolkowicz",
  title =        "Extreme point inequalities and geometry of the rank
                 sparsity ball",
  journal =      j-MATH-PROG,
  volume =       "152",
  number =       "1--2",
  pages =        "521--544",
  year =         "2015",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-014-0795-8",
  ISSN =         "0025-5610",
  MRclass =      "90C25 (47N10 68P30)",
  MRnumber =     "3369491",
  bibdate =      "Sat Aug 08 16:27:47 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Optimization Society",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Drusvyatskiy:2015:PMQ,
  author =       "Dmitriy Drusvyatskiy and Chi-Kwong Li and Diane
                 Christine Pelejo and Yuen-Lam Voronin and Henry
                 Wolkowicz",
  title =        "Projection methods for quantum channel construction",
  journal =      j-QUANTUM-INF-PROCESS,
  volume =       "14",
  number =       "8",
  pages =        "3075--3096",
  year =         "2015",
  CODEN =        "QIPUAT",
  DOI =          "https://doi.org/10.1007/s11128-015-1024-y",
  ISSN =         "1570-0755 (print), 1573-1332 (electronic)",
  ISSN-L =       "1570-0755",
  MRclass =      "81P45",
  MRnumber =     "3370697",
  bibdate =      "Wed Aug 31 10:28:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Quantum Information Processing",
  journal-URL =  "http://link.springer.com/journal/11128",
}

@Article{Lin:2015:HTM,
  author =       "Minghua Lin and Henry Wolkowicz",
  title =        "{Hiroshima}'s theorem and matrix norm inequalities",
  journal =      j-ACTA-SCI-MATH-SZEGED,
  volume =       "81",
  number =       "1-2",
  pages =        "45--53",
  year =         "2015",
  DOI =          "https://doi.org/10.14232/actasm-013-821-3",
  ISSN =         "0001-6969 (print), 2064-8316 (electronic)",
  MRclass =      "15A60 (47A30)",
  MRnumber =     "3381873",
  MRreviewer =   "Natalia Bebiano",
  bibdate =      "Wed Aug 31 10:28:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Universitatis Szegediensis. Acta Scientiarum
                 Mathematicarum",
  journal-URL =  "http://acta.fyx.hu/acta/",
}

@Article{Pong:2016:EQP,
  author =       "Ting Kei Pong and Hao Sun and Ningchuan Wang and Henry
                 Wolkowicz",
  title =        "Eigenvalue, quadratic programming, and semidefinite
                 programming relaxations for a cut minimization
                 problem",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "63",
  number =       "2",
  pages =        "333--364",
  year =         "2016",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-015-9779-8",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "05C35 (05C70 90C22 90C27 90C59)",
  MRnumber =     "3457444",
  MRreviewer =   "Sandra L. Arlinghaus",
  bibdate =      "Wed Aug 31 10:28:38 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
}

@Article{Drusvyatskiy:2017:NAP,
  author =       "Dmitriy Drusvyatskiy and Guoyin Li and Henry
                 Wolkowicz",
  title =        "A note on alternating projections for ill-posed
                 semidefinite feasibility problems",
  journal =      j-MATH-PROG,
  volume =       "162",
  number =       "1-2, Ser. A",
  pages =        "537--548",
  year =         "2017",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-016-1048-9",
  ISSN =         "0025-5610",
  MRclass =      "90C22 (47J25 65J15)",
  MRnumber =     "3612949",
  MRreviewer =   "Sorin-Mihai Grad",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Drusvyatskiy:2017:NED,
  author =       "D. Drusvyatskiy and N. Krislock and Y.-L. Voronin and
                 H. Wolkowicz",
  title =        "Noisy {Euclidean} Distance Realization: Robust Facial
                 Reduction and the {Pareto} Frontier",
  journal =      j-SIAM-J-OPT,
  volume =       "27",
  number =       "4",
  pages =        "2301--2331",
  month =        "????",
  year =         "2017",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/15M103710X",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  bibdate =      "Fri Jan 12 07:04:38 MST 2018",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/27/4;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  onlinedate =   "January 2017",
}

@Article{Salahi:2017:LNM,
  author =       "Maziar Salahi and Akram Taati and Henry Wolkowicz",
  title =        "Local nonglobal minima for solving large-scale
                 extended trust-region subproblems",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "66",
  number =       "2",
  pages =        "223--244",
  year =         "2017",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-016-9867-4",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "90C26 (65K05 90C30 90C46)",
  MRnumber =     "3604052",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
}

@Article{Wang:2017:FMR,
  author =       "Fei Wang and Greg Reid and Henry Wolkowicz",
  title =        "Finding maximum rank moment matrices by facial
                 reduction on primal form and {Douglas--Rachford}
                 iteration",
  journal =      j-ACM-COMM-COMP-ALGEBRA,
  volume =       "51",
  number =       "1",
  pages =        "35--37",
  month =        mar,
  year =         "2017",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1145/3096730.3096740",
  ISSN =         "1932-2232 (print), 1932-2240 (electronic)",
  ISSN-L =       "1932-2232",
  bibdate =      "Tue Oct 10 16:29:29 MDT 2017",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/sigsam.bib",
  abstract =     "Recent breakthroughs have been made in the use of
                 semi-definite programming and its application to real
                 polynomial solving. For example, the real radical of a
                 zero dimensional ideal, can be determined by such
                 approaches. Some progress has been made on the
                 determination of the real radical in positive dimension
                 by Ma, Wang and Zhi[5, 4]. Such work involves the
                 determination of maximal rank semidefinite matrices.
                 Existing methods are computationally expensive and have
                 poorer accuracy on larger examples. In previous work we
                 showed that regularity in the form of the Slater
                 constraint qualification (strict feasibility) fails for
                 the moment matrix in the SDP feasibility problem[6]. We
                 used facial reduction to obtain a smaller regularized
                 problem for which strict feasibility holds. However we
                 did not have a theoretical guarantee that our methods,
                 based on facial reduction and Douglas-Rachford
                 iteration ensured the satisfaction of the maximum rank
                 condition. Our work is motivated by the problems above.
                 We discuss how to compute the moment matrix and its
                 kernel using facial reduction techniques where the
                 maximum rank property can be guaranteed by solving the
                 dual problem. The facial reduction algorithms on the
                 primal form is presented. We give examples that exhibit
                 for the first time additional facial reductions beyond
                 the first which are effective in practice with much
                 better accuracy than SeDuMi(CVX).",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Communications in Computer Algebra",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J1000",
}

@Article{Huang:2018:LRM,
  author =       "Shimeng Huang and Henry Wolkowicz",
  title =        "Low-rank matrix completion using nuclear norm
                 minimization and facial reduction",
  journal =      j-J-GLOBAL-OPT,
  volume =       "72",
  number =       "1",
  pages =        "5--26",
  year =         "2018",
  CODEN =        "JGOPEO",
  DOI =          "https://doi.org/10.1007/s10898-017-0590-1",
  ISSN =         "0925-5001 (print), 1573-2916 (electronic)",
  ISSN-L =       "0925-5001",
  MRclass =      "65F22 (52A41 65K10 90C22 90C46)",
  MRnumber =     "3846924",
  MRreviewer =   "Uno H{\"{a}}marik",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  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",
  journal-URL =  "http://link.springer.com/journal/10898",
}

@Article{Oliveira:2018:ASR,
  author =       "Danilo Elias Oliveira and Henry Wolkowicz and Yangyang
                 Xu",
  title =        "{ADMM} for the {SDP} relaxation of the {QAP}",
  journal =      j-MATH-PROGRAM-COMPUT,
  volume =       "10",
  number =       "4",
  pages =        "631--658",
  year =         "2018",
  DOI =          "https://doi.org/10.1007/s12532-018-0148-3",
  ISSN =         "1867-2949 (print), 1867-2957 (electronic)",
  ISSN-L =       "1867-2957",
  MRclass =      "90C22 (90B80 90C06 90C46)",
  MRnumber =     "3863706",
  MRreviewer =   "Petrica C. Pop",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming Computation",
  journal-URL =  "http://link.springer.com/journal/12532",
}

@InCollection{Sremac:2018:MDP,
  author =       "Stefan Sremac and Hugo J. Woerdeman and Henry
                 Wolkowicz",
  booktitle =    "Operator theory, analysis and the state space
                 approach",
  title =        "Maximum determinant positive definite {Toeplitz}
                 completions",
  volume =       "271",
  publisher =    "Birkh{\"{a}}user\slash Springer",
  address =      "Cham, Switzerland",
  pages =        "421--441",
  year =         "2018",
  MRclass =      "15A83 (15A15 15B05 90C22)",
  MRnumber =     "3889666",
  MRreviewer =   "Jin Zhong",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Oper. Theory Adv. Appl.",
  acknowledgement = ack-nhfb,
}

@Article{Sremac:2019:NED,
  author =       "Stefan Sremac and Fei Wang and Henry Wolkowicz and
                 Lucas Pettersson",
  title =        "Noisy {Euclidean} distance matrix completion with a
                 single missing node",
  journal =      j-J-GLOBAL-OPT,
  volume =       "75",
  number =       "4",
  pages =        "973--1002",
  year =         "2019",
  CODEN =        "JGOPEO",
  DOI =          "https://doi.org/10.1007/s10898-019-00825-7",
  ISSN =         "0925-5001 (print), 1573-2916 (electronic)",
  ISSN-L =       "0925-5001",
  MRclass =      "90C22 (15A83 90C20)",
  MRnumber =     "4031889",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  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",
  journal-URL =  "http://link.springer.com/journal/10898",
}

@Article{Fampa:2020:PCQ,
  author =       "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz",
  title =        "Parametric convex quadratic relaxation of the
                 quadratic knapsack problem",
  journal =      j-EUR-J-OPER-RES,
  volume =       "281",
  number =       "1",
  pages =        "36--49",
  year =         "2020",
  CODEN =        "EJORDT",
  DOI =          "https://doi.org/10.1016/j.ejor.2019.08.027",
  ISSN =         "0377-2217 (print), 1872-6860 (electronic)",
  ISSN-L =       "0377-2217",
  MRclass =      "90C20 (90C10)",
  MRnumber =     "4018044",
  MRreviewer =   "Michele Monaci",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "European Journal of Operational Research",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03772217",
}

@Article{Ma:2020:RPC,
  author =       "Shiqian Ma and Fei Wang and Linchuan Wei and Henry
                 Wolkowicz",
  title =        "Robust principal component analysis using facial
                 reduction",
  journal =      j-OPTIM-ENG,
  volume =       "21",
  number =       "3",
  pages =        "1195--1219",
  year =         "2020",
  DOI =          "https://doi.org/10.1007/s11081-019-09476-9",
  ISSN =         "1389-4420 (print), 1573-2924 (electronic)",
  ISSN-L =       "1389-4420",
  MRclass =      "90C26 (65K10 90C27)",
  MRnumber =     "4125726",
  MRreviewer =   "Wenxing Zhu",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Optimization and Engineering. International
                 Multidisciplinary Journal to Promote Optimization
                 Theory \& Applications in Engineering Sciences",
  journal-URL =  "http://link.springer.com/journal/11081",
}

@Article{Im:2021:SBP,
  author =       "Jiyoung Im and Henry Wolkowicz",
  title =        "A strengthened {Barvinok--Pataki} bound on {SDP}
                 rank",
  journal =      "Oper. Res. Lett.",
  volume =       "49",
  number =       "6",
  pages =        "837--841",
  year =         "2021",
  DOI =          "https://doi.org/10.1016/j.orl.2021.09.004",
  ISSN =         "0167-6377 (print), 1872-7468 (electronic)",
  MRclass =      "90C57 (52B12 90C22)",
  MRnumber =     "4320399",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Operations Research Letters",
}

@Article{Li:2021:SCP,
  author =       "Xinxin Li and Ting Kei Pong and Hao Sun and Henry
                 Wolkowicz",
  title =        "A strictly contractive {Peaceman--Rachford} splitting
                 method for the doubly nonnegative relaxation of the
                 minimum cut problem",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "78",
  number =       "3",
  pages =        "853--891",
  year =         "2021",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-020-00261-4",
  ISSN =         "0926-6003 (print), 1573-2894 (electronic)",
  ISSN-L =       "0926-6003",
  MRclass =      "90C22 (05C70 90C25 90C27 90C59)",
  MRnumber =     "4221619",
  MRreviewer =   "Minh N. Dao",
  bibdate =      "Tue Mar 15 12:15:02 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  journal-URL =  "http://link.springer.com/journal/10589",
}

@Article{Sremac:2021:EBS,
  author =       "Stefan Sremac and Hugo J. Woerdeman and Henry
                 Wolkowicz",
  title =        "Error Bounds and Singularity Degree in Semidefinite
                 Programming",
  journal =      j-SIAM-J-OPT,
  volume =       "31",
  number =       "1",
  pages =        "812--836",
  month =        "????",
  year =         "2021",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/19M1289327",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  bibdate =      "Wed Jan 19 07:53:28 MST 2022",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/31/1;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
  onlinedate =   "January 2021",
}

@Article{Graham:2022:RDP,
  author =       "Naomi Graham and Hao Hu and Jiyoung Im and Xinxin Li
                 and Henry Wolkowicz",
  title =        "A Restricted Dual {Peaceman--Rachford} Splitting
                 Method for a Strengthened {DNN} Relaxation for {QAP}",
  journal =      j-INFORMS-J-COMPUT,
  volume =       "34",
  number =       "4",
  pages =        "2125--2143",
  month =        jul # "\slash " # aug,
  year =         "2022",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1287/ijoc.2022.1161",
  ISSN =         "1091-9856 (print), 1526-5528 (electronic)",
  ISSN-L =       "1091-9856",
  bibdate =      "Fri Oct 28 07:43:08 MDT 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/informs-j-comput.bib",
  URL =          "https://pubsonline.informs.org/doi/fpi/10.1287/ijoc.2022.1161",
  acknowledgement = ack-nhfb,
  ajournal =     "INFORMS J. Comput.",
  fjournal =     "INFORMS Journal on Computing",
  journal-URL =  "https://pubsonline.informs.org/journal/ijoc",
  onlinedate =   "23 March 2022",
}

%%% ====================================================================
%%% Student theses:
@MastersThesis{Kumar:1984:BE,
  author =       "Ravinder Kumar",
  title =        "Bounds for Eigenvalues",
  school =       "University of Alberta",
  address =      "Edmonton, AB, Canada",
  year =         "1984",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
}

@MastersThesis{Schoettle:1985:TAPb,
  author =       "Christopher Schoettle",
  title =        "The Teaching Assignment Problem",
  school =       "Emory University",
  address =      "Atlanta, GA, USA",
  year =         "1985",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
}

@MastersThesis{Stephan:1985:ESQ,
  author =       "Peter Stephan",
  title =        "An Explicit Solution to the Quadratic Dynamic
                 Programming Problem",
  school =       "Emory University",
  address =      "Atlanta, GA, USA",
  year =         "1985",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
}

@MastersThesis{Lund:1988:OVR,
  author =       "Joe Lund",
  title =        "Optimal Vehicle Replacement Policy",
  school =       pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1988",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
}

@PhdThesis{Hadley:1989:COA,
  author =       "Scott W. Hadley",
  title =        "Continuous Optimization Approaches to the Quadratic
                 Assignment Problem",
  school =       pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1989",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
}

@MastersThesis{Karisch:1992:TRQ,
  author =       "Stefan E. Karisch",
  title =        "Trust Regions and the Quadratic Assignment Problem",
  school =       pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1992",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
  URL =          "http://orion.uwaterloo.ca/~hwolkowi/henry/reports/karischmsthesis.ps.gz",
}

@MastersThesis{Zhao:1993:MLC,
  author =       "Qing Zhao",
  title =        "Measures for Least Change Secant Methods",
  school =       pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
  URL =          "http://orion.uwaterloo.ca/~hwolkowi/henry/reports/zhaomscthesis.ps.gz",
}

@MastersThesis{Kruk:1996:SPA,
  author =       "S. Kruk",
  title =        "Semidefinite Programming Applied to Nonlinear
                 Programming",
  school =       pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
  URL =          "http://orion.uwaterloo.ca/~hwolkowi/henry/software/sqqp.d/krukmsthesis.ps.gz",
}

@PhdThesis{Zhao:1996:SPA,
  author =       "Q. Zhao",
  title =        "Semidefinite Programming for Assignment and
                 Partitioning Problems",
  school =       pub-WATERLOO,
  address =      pub-WATERLOO:adr,
  year =         "1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
  URL =          "ftp://orion.uwaterloo.ca/pub/henry/software/qap.d/zhaophdthesis.ps.gz",
}

@MastersThesis{Thomas:19xx:OPP,
  author =       "Steven Thomas",
  title =        "Optimal Project Planning for a Pharmaceutical
                 Company",
  school =       "University of Waterloo",
  year =         "19xx",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
}

@MastersThesis{Fortin:2000:STR,
  author =       "C. Fortin",
  title =        "A Survey of the Trust Region Subproblem within a
                 Semidefinite Framework",
  school =       "University of Waterloo",
  year =         "2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
}

@PhdThesis{Anjos:2001:NCR,
  author =       "M. F. Anjos",
  title =        "New Convex Relaxations for the Maximum Cut and {VLSI}
                 Layout Problems",
  school =       "University of Waterloo",
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
}

@PhdThesis{Kruk:2001:HAA,
  author =       "S. Kruk",
  title =        "High Accuracy Algorithms for the Solutions of
                 Semidefinite Linear Programs",
  school =       "University of Waterloo",
  year =         "2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Advisor: H. Wolkowicz.",
}

%%% ====================================================================
%%% Cross-referenced entries must come last:
@Article{Deutsch:1980:PSE,
  author =       "Emeric Deutsch and J. Fickett and Clark Kimberling and
                 Peter Ungar and Jan Mycielski",
  title =        "Problems and Solutions: Elementary Problems:
                 {E2847}--{E2852}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "87",
  number =       "8",
  pages =        "671--672",
  month =        oct,
  year =         "1980",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:36:07 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  note =         "See also
                 \cite{Deutsch:1982:PSSa,Deutsch:1982:PSSb,Fickett:1982:PSSa,Kimberling:1982:PSSc,Mycielski:1982:PSSa,Mycielski:1983:PSS,Ungar:1982:PSS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Proceedings{Schaible:1981:CCP,
  editor =       "Siegfried Schaible and William T. Ziemba",
  booktitle =    "Generalized Concavity in Optimization and Economics",
  title =        "Generalized Concavity in Optimization and Economics",
  organization = "NATO conference",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiv + 767",
  year =         "1981",
  ISBN =         "0-12-621120-5",
  ISBN-13 =      "978-0-12-621120-7",
  LCCN =         "QA402.5 .G45",
  bibdate =      "Mon Mar 6 22:00:29 MST 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Papers presented at the proceedings of the NATO
                 Advance Study Institute held at the University of
                 British Columbia, Vancouver, Canada, August 4--15,
                 1980.",
}

@Proceedings{Fiacco:1983:MPD,
  editor =       "Anthony V. Fiacco",
  booktitle =    "Mathematical Programming with Data Perturbations
                 {II}",
  title =        "Mathematical Programming with Data Perturbations
                 {II}",
  publisher =    pub-DEKKER,
  address =      pub-DEKKER:adr,
  pages =        "vi + 155",
  year =         "1983",
  ISBN =         "0-8247-1789-9",
  ISBN-13 =      "978-0-8247-1789-6",
  LCCN =         "QA402.5 .M356 1983",
  bibdate =      "Mon Mar 6 22:00:29 MST 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Papers presented to the Second Symposium for
                 Mathematical Programming with Data Perturbations, held
                 at the George Washington University in May 1980",
}

@Book{Kotz:1987:ESS,
  editor =       "Samuel Kotz and Norman L. Johnson and Campbell B.
                 Read",
  booktitle =    "Encyclopedia of Statistical Sciences",
  title =        "Encyclopedia of Statistical Sciences",
  volume =       "8",
  publisher =    pub-WI,
  address =      pub-WI:adr,
  pages =        "",
  year =         "1987",
  ISBN =         "0-471-05546-8 (vol. 1)",
  ISBN-13 =      "978-0-471-05546-4 (vol. 1)",
  LCCN =         "QA276.14 .E5 1982",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Invited paper.",
}

@Proceedings{Pulleyblank:1990:IPC,
  editor =       "W. R. Pulleyblank and Ravi Kannan",
  booktitle =    "Integer Programming and Combinatorial Optimization:
                 proceedings of a conference held at the University of
                 Waterloo, May 28--30 1990, by the Mathematical
                 Programming Society",
  title =        "Integer Programming and Combinatorial Optimization:
                 proceedings of a conference held at the University of
                 Waterloo, May 28--30 1990, by the Mathematical
                 Programming Society",
  publisher =    pub-WATERLOO-PRESS,
  address =      pub-WATERLOO-PRESS:adr,
  pages =        "xiii + 535",
  year =         "1990",
  ISBN =         "0-88898-099-X",
  ISBN-13 =      "978-0-88898-099-1",
  LCCN =         "",
  bibdate =      "Wed Nov 05 11:31:34 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Proceedings{Phillips:1992:SMS,
  editor =       "Fred Young Phillips and John James Rousseau and Adi
                 Ben-Israel and others",
  booktitle =    "Systems and Management Science by Extremal Methods:
                 research honoring {Abraham Charnes} at age 70",
  title =        "Systems and Management Science by Extremal Methods:
                 research honoring {Abraham Charnes} at age 70",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "xxv + 580",
  year =         "1992",
  ISBN =         "0-7923-9139-X",
  ISBN-13 =      "978-0-7923-9139-5",
  LCCN =         "T57.6.S977 1992",
  bibdate =      "Wed Nov 05 11:12:25 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Papers presented at a conference held in Oct. 1987 at
                 the ICp2s Institute of the University of Texas at
                 Austin.",
}

@Proceedings{Pardalos:1994:QAR,
  editor =       "Panos M. Pardalos and Henry Wolkowicz",
  booktitle =    "Quadratic assignment and related problems: DIMACS
                 Workshop, May 20--21, 1993",
  title =        "Quadratic assignment and related problems: {DIMACS}
                 Workshop, May 20--21, 1993",
  volume =       "16",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xii + 364",
  year =         "1994",
  ISBN =         "0-8218-6607-9",
  ISBN-13 =      "978-0-8218-6607-8",
  LCCN =         "QA402.5 .Q33 1994",
  MRclass =      "90-06 (90C27 90C30 90C35)",
  MRnumber =     "95b:90005",
  bibdate =      "Wed Nov 05 11:32:41 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "DIMACS Series in Discrete Mathematics and Theoretical
                 Computer Science",
}

@Proceedings{Balas:1995:IPC,
  editor =       "Egon Balas and Jens Clausen",
  booktitle =    "Integer programming and combinatorial optimization:
                 4th International {ICPO} Conference, Copenhagen,
                 Denmark, May 29--31, 1995: proceedings",
  title =        "Integer programming and combinatorial optimization:
                 4th International {ICPO} Conference, Copenhagen,
                 Denmark, May 29--31, 1995: proceedings",
  volume =       "920",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 461",
  year =         "1995",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-59408-6 (Berlin), 0-387-59408-6 (New York)",
  ISBN-13 =      "978-3-540-59408-6 (Berlin), 978-0-387-59408-8 (New
                 York)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "T57.74 .C6 1995",
  bibdate =      "Fri Apr 12 07:15:03 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       ser-LNCS,
  keywords =     "combinatorial optimization --- congresses; integer
                 programming --- congresses",
}

@Proceedings{Pardalos:1998:TSI,
  editor =       "P. Pardalos and H. Wolkowicz",
  booktitle =    "Topics in Semidefinite and Interior-Point Methods.
                 Proceedings of the workshop held in Toronto, ON, May
                 1996",
  title =        "Topics in Semidefinite and Interior-Point Methods.
                 Proceedings of the workshop held in Toronto, {ON}, May
                 1996",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xx + 250",
  year =         "1998",
  ISBN =         "0-8218-0825-7",
  ISBN-13 =      "978-0-8218-0825-2",
  MRclass =      "90-06",
  MRnumber =     "98j:90005",
  bibsource =    "http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "The Fields Institute for Research in Mathematical
                 Sciences, Communications Series",
}

@Proceedings{Yuan:1998:ANP,
  editor =       "Ya-xiang Yuan.",
  booktitle =    "Advances in nonlinear programming: proceedings of the
                 96 International Conference on Nonlinear Programming",
  title =        "Advances in nonlinear programming: proceedings of the
                 96 International Conference on Nonlinear Programming",
  volume =       "14",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "xiii + 351",
  year =         "1998",
  ISBN =         "0-7923-5053-7",
  ISBN-13 =      "978-0-7923-5053-8",
  LCCN =         "T57.8 .I58 1996",
  bibdate =      "Tue Dec 09 08:32:49 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  note =         "Conference was held September 2--5 at the Institute of
                 Computational Mathematics and Scientific/Engineering
                 Computing, Chinese Academy of Sciences, Beijing,
                 China.",
  series =       "Applied optimization",
}

@Proceedings{Pardalos:2000:NAP,
  editor =       "Panos M. Pardalos and Leonidas Pitsoulis",
  booktitle =    "Nonlinear Assignment Problems: Algorithms and
                 Applications",
  title =        "Nonlinear Assignment Problems: Algorithms and
                 Applications",
  volume =       "7",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  year =         "2000",
  ISBN =         "0-7923-6646-8",
  ISBN-13 =      "978-0-7923-6646-1",
  LCCN =         "QA402.6 .N66 2000",
  bibdate =      "Tue Dec 09 08:39:21 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "Combinatorial optimization",
}

@Proceedings{Powell:2000:SMO,
  editor =       "M. J. D. Powell and S. Scholtes",
  booktitle =    "System modelling and optimization: methods, theory and
                 applications: 19. IFIP-TC7 conference on system
                 modelling and optimization, July 12--16, 1999,
                 Cambridge, UK",
  title =        "System modelling and optimization: methods, theory and
                 applications: {19. IFIP--TC7 conference on system
                 modelling and optimization, July 12--16, 1999,
                 Cambridge, UK}",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "viii + 347",
  year =         "2000",
  ISBN =         "0-7923-7881-4",
  ISBN-13 =      "978-0-7923-7881-5",
  LCCN =         "QA402.3 .I4536 1999",
  bibdate =      "Tue Dec 09 08:36:11 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Book{Wolkowicz:2000:HSP,
  editor =       "Henry Wolkowicz and Romesh Saigal and Lieven
                 Vandenberghe",
  booktitle =    "Handbook of Semidefinite Programming: Theory,
                 Algorithms, and Applications",
  title =        "Handbook of Semidefinite Programming: Theory,
                 Algorithms, and Applications",
  volume =       "27",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "xxvi + 654",
  year =         "2000",
  ISBN =         "0-7923-7771-0",
  ISBN-13 =      "978-0-7923-7771-9",
  LCCN =         "T57.74 .H355 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "International series in operations research \&
                 management science",
}

@Book{Floudas:2001:EO,
  editor =       "C. A. Floudas and P. M. Pardalos",
  booktitle =    "Encyclopedia of Optimization",
  title =        "Encyclopedia of Optimization",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "Vol. I: xxviii + 539; Vol. II: viii + 549; Vol. III:
                 viii + 580; Vol. IV: viii + 503; Vol. V: viii + 557;
                 Vol. VI: xxxii + 258",
  year =         "2001",
  ISBN =         "0-7923-6932-7",
  ISBN-13 =      "978-0-7923-6932-5",
  LCCN =         "",
  MRclass =      "00A20 (49-00 65-00 90-00 91-00 93-00)",
  bibdate =      "Tue Dec 09 08:03:29 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  price =        "US\$1300",
}

@Book{Pardalos:2002:HAO,
  editor =       "Panos M. Pardalos and Mauricio G. C. Resende",
  booktitle =    "Handbook of Applied Optimization",
  title =        "Handbook of Applied Optimization",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xviii + 1095",
  year =         "2002",
  ISBN =         "0-19-512594-0",
  ISBN-13 =      "978-0-19-512594-8",
  LCCN =         "",
  bibdate =      "Tue Dec 09 08:41:03 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}

@Proceedings{Pardalos:2003:NAH,
  editor =       "Panos Pardalos and Henry Wolkowicz",
  booktitle =    "Papers from the workshop held at the University of
                 Waterloo, Waterloo, ON, April 26--28, 2001",
  title =        "Novel Approaches to Hard Discrete Optimization",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "181",
  year =         "2003",
  ISBN =         "0-8218-3248-4",
  ISBN-13 =      "978-0-8218-3248-6",
  LCCN =         "QA402.5 .N689 2003",
  bibsource =    "http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
  series =       "The Fields Institute for Research in Mathematical
                 Sciences, Communications Series",
  xxbooktitle =  "Proceedings of the workshop held in Waterloo, ON, May
                 2001",
}

@Book{Bauschke:2011:FPA,
  editor =       "Heinz H. Bauschke and Regina S. Burachik and Patrick
                 Louis Combettes and Veit Elser and D. Russell Luke and
                 Henry Wolkowicz",
  booktitle =    "Fixed-point algorithms for inverse problems in science
                 and engineering",
  title =        "Fixed-point algorithms for inverse problems in science
                 and engineering",
  volume =       "49",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xi + 402",
  year =         "2011",
  DOI =          "https://doi.org/10.1007/978-1-4419-9569-8",
  ISBN =         "1-4419-9568-4, 1-4419-9569-2 (e-book)",
  ISBN-13 =      "978-1-4419-9568-1, 978-1-4419-9569-8 (e-book)",
  ISSN =         "1931-6828 (print), 1931-6836 (electronic)",
  ISSN-L =       "1931-6828",
  LCCN =         "QA378.5 .F59 2011",
  bibdate =      "Sat Aug 13 15:57:02 MDT 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Springer optimization and its applications",
  URL =          "http://0-dx.doi.org.fama.us.es/10.1007/978-1-4419-9569-8",
  acknowledgement = ack-nhfb,
  subject =      "Inverse problems (Differential equations); Fixed point
                 theory",
}

@Book{Bailey:2013:CAM,
  editor =       "David H. Bailey and Heinz H. Bauschke and Peter
                 Borwein and Frank Garvan and Michel Th{\'e}ra and Jon
                 D. Vanderwerff and Henry Wolkowicz",
  booktitle =    "Computational and analytical mathematics: in honor of
                 {Jonathan Borwein}'s 60th Birthday",
  title =        "Computational and analytical mathematics: in honor of
                 {Jonathan Borwein}'s 60th Birthday",
  volume =       "50",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xv + 701",
  year =         "2013",
  DOI =          "https://doi.org/10.1007/978-1-4614-7621-4",
  ISBN =         "1-4614-7620-8, 1-4614-7621-6 (e-book)",
  ISBN-13 =      "978-1-4614-7620-7, 978-1-4614-7621-4 (e-book)",
  ISSN =         "2194-1009",
  LCCN =         "QA241",
  bibdate =      "Thu Aug 11 13:32:34 MDT 2016",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib;
                 https://www.math.utah.edu/pub/tex/bib/prng.bib",
  series =       "Springer proceedings in mathematics and statistics",
  URL =          "http://public.eblib.com/choice/publicfullrecord.aspx?p=1466708;
                 http://swb.eblib.com/patron/FullRecord.aspx?p=1466708;
                 http://www.myilibrary.com?id=547562",
  abstract =     "The research of Jonathan Borwein has had a profound
                 impact on optimization, functional analysis, operations
                 research, mathematical programming, number theory, and
                 experimental mathematics. Having authored more than a
                 dozen books and more than 300 publications, Dr. Borwein
                 is one of the most productive Canadian mathematicians
                 ever. His research spans pure, applied, and
                 computational mathematics as well as high performance
                 computing, and continues to have an enormous impact:
                 MathSciNet lists more than 2500 citations by more than
                 1250 authors, and Borwein is one of the 250 most cited
                 mathematicians of the period 1980--1999. He has served
                 the Canadian Mathematics Community through his
                 presidency (2000--2002) as well as his 15 years of
                 editing the CMS book series. Jonathan Borwein's vision
                 and initiative have been crucial in initiating and
                 developing several institutions that provide support
                 for researchers with a wide range of scientific
                 interests. A few notable examples include the Centre
                 for Experimental and Constructive Mathematics and the
                 IRMACS Centre at Simon Fraser University, the Dalhousie
                 Distributed Research Institute at Dalhousie University,
                 the Western Canada Research Grid, and the Centre for
                 Computer Assisted Research Mathematics and its
                 Applications, University of Newcastle. The workshops
                 that were held over the years in Dr. Borwein's honor
                 attracted high-caliber scientists from a wide range of
                 mathematical fields. This present volume is an
                 outgrowth of the workshop entitled Computational and
                 Analytical Mathematics, held in May 2011 in celebration
                 of Jonathan Borwein's 60th Birthday. The collection
                 contains various state-of-the-art research manuscripts
                 and surveys presenting contributions that have risen
                 from the conference, and is an excellent opportunity to
                 survey state-of-the-art research and discuss promising
                 research directions and approaches.",
  acknowledgement = ack-nhfb,
  subject =      "Number theory; Mathematical analysis; Mathematics;
                 Functional Analysis; Operator Theory; Operations
                 Research, Management Science; Algebra; Intermediate.;
                 Mathematical analysis.; Number theory.",
  tableofcontents = "Normal Numbers and Pseudorandom Generators / David
                 H. Bailey and Jonathan M. Borwein / 1--18 \\
                 New Demiclosedness Principles for (Firmly) Nonexpansive
                 Operators / Heinz H. Bauschke / 19--28 \\
                 Champernowne's Number, Strong Normality, and the X
                 Chromosome / Adrian Belshaw and Peter B. Borwein /
                 29--44 \\
                 Optimality Conditions for Semivectorial Bilevel Convex
                 Optimal Control Problems / Henri Bonnel and Jacqueline
                 Morgan / 45--78 \\
                 Monotone Operators Without Enlargements / Jonathan M.
                 Borwein and Regina S. Burachik / 79--103 \\
                 A Br{\o}ndsted--Rockafellar Theorem for Diagonal
                 Subdifferential Operators / Radu Ioan Bo{\c{t}} and
                 Ern{\"o} Robert Csetnek / 105--112 \\
                 A $q$-Analog of Euler's Reduction Formula for the
                 Double Zeta Function / David M. Bradley and Xia Zhou /
                 113--126 \\
                 Fast Computation of Bernoulli, Tangent and Secant
                 Numbers / Richard P. Brent and David Harvey / 127--142
                 \\
                 Monotone Operator Methods for Nash Equilibria in
                 Non-potential Games / Luis M. Brice{\"a}no-Arias and
                 Patrick L. Combettes / 143--159 \\
                 Compactness, Optimality, and Risk / B. Cascales, J.
                 Orihuela and M. Ruiz Gal{\'a}n / 161--218 \\
                 Logarithmic and Complex Constant Term Identities / Tom
                 Chappell, Alain Lascoux and S. Ole Warnaar /
                 219--250\\
                 Preprocessing and Regularization for Degenerate
                 Semidefinite Programs / Yuen-Lam Cheung, Simon Schurr
                 and Henry Wolkowicz / 251--303 \\
                 The Largest Roots of the Mandelbrot Polynomials /
                 Robert M. Corless and Piers W. Lawrence / 305--324 \\
                 On the Fractal Distribution of Brain Synapses / Richard
                 Crandall / 325--348 \\
                 Visible Points in Convex Sets and Best Approximation /
                 Frank Deutsch, Hein Hundal and Ludmil Zikatanov /
                 349--364 \\
                 On Derivative Criteria for Metric Regularity / Asen L.
                 Dontchev and H{\'e}l{\`e}ne Frankowska / 365--374 \\
                 Five Classes of Monotone Linear Relations and Operators
                 / Mclean R. Edwards / 375--400 \\
                 Upper Semicontinuity of Duality and Preduality Mappings
                 / J. R. Giles / 401--410 \\
                 Convexity and Variational Analysis / A. D. Ioffe /
                 411--444 \\
                 Generic Existence of Solutions and Generic
                 Well-Posedness of Optimization Problems / P. S.
                 Kenderov and J. P. Revalski / 445--453 \\
                 Legendre Functions Whose Gradients Map Convex Sets to
                 Convex Sets / Alexander Knecht and Jon Vanderwerff /
                 455--462\\
                 On the Convergence of Iteration Processes for
                 Semigroups of Nonlinear Mappings in Banach Spaces / W.
                 M. Kozlowski and Brailey Sims / 463--484 \\
                 Techniques and Open Questions in Computational Convex
                 Analysis / Yves Lucet / 485--500 \\
                 Existence and Approximation of Fixed Points of Right
                 Bregman Nonexpansive Operators / Victoria
                 Mart{\'i}n-M{\'a}rquez and Simeon Reich / 501--520 \\
                 Primal Lower Nice Functions and Their Moreau Envelopes
                 / Marc Mazade and Lionel Thibault / 521--553 \\
                 Bundle Method for Non-Convex Minimization with Inexact
                 Subgradients and Function Values / Dominikus Noll /
                 555--592 \\
                 Convergence of Linesearch and Trust-Region Methods
                 Using the Kurdyka--{\L}ojasiewicz Inequality /
                 Dominikus Noll and Aude Rondepierre / 593--611 \\
                 Strong Duality in Conic Linear Programming: Facial
                 Reduction and Extended Duals / G{\'a}bor Pataki /
                 613--634 \\
                 Towards a New Era in Subdifferential Analysis? /
                 Jean-Paul Penot /635--665 \\
                 Modular Equations and Lattice Sums / Mathew Rogers and
                 Boonrod Yuttanan / 667--680 \\
                 An Epigraph-Based Approach to Sensitivity Analysis in
                 Set-Valued Optimization / Douglas E. Ward and Stephen
                 E. Wright / 681--701",
}

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