#  This file contains personal publication  bib entries (including
##        student theses.
## The bib entries were taken from MathSci - May 10, 2000.
##
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
###     in the file     .master.bib. 
###   If you are now using another file other than .master.bib
#####   (e.g.   .psd.bib)  then you should include  .master.bib  FIRST
####   in the  \bibliography line, i.e. \bibliography{.master,....}
#####
#       author:  Henry Wolkowicz (University of Waterloo)
#        personal URL:    http://orion.math.uwaterloo.ca:80/~hwolkowi
#        this file has URL:
#      http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#  An http version has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/refpubl/refpubl.html
#
#
# keywords from Stewart's bibfile
#          cs   : computer science
#          csd  : CS decomposition
#          eig  : eigenvalue problems
#          eriv : errors in variables
#          geig : generalized eigenvalue problems
#          ginv : generalized inverse
#          gsvd : generalized singular value decomposition
#          iter : iterative methods
#          la   : linear algebra
#          lsq  : least squares
#          math : mathematics
#          lud  : LU decomposition
#          na   : numerical analysis
#          nla  : numerical linear algebra
#          nlop : nonlinear equations and optimization
#          prll : parallel computations
#          pert : perturbation theory
#          qrd  : QR decomposition
#          regr : regression
#          stat : statistics
#          svd  : singular value decomposition
#  New keywords
#          sdp        : semidefinite programming
#          coneprog   : cone programming
#          trg        : trust regions
#          cdtprob    : Celis-Dennis-Tapia two trust regions problem
#          qap        : quadratic assignment problem
#          lsopt      : large scale optimization
#          ilp        : integer linear programming
#          ipg        : interior point algorithms
#          qp         : quadratic programming

#
###################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with    master
####  You can also find them in the file called    .strings.bib
###################################
###################################
#######################################
#
#
# 1. Books and special issues first.   
# 2. Chapters in Books second
# 3. Papers in refereed Journals third
# 3. Papers in refereed Conference Proceedings fourth
# 4. Technical Reports  fifth
# 5. Theses (including students' theses) sixth


#  111111   BOOKS BOOKS  (authored and edited)



@book{fixedpointalgs:11,
   EDITOR = {
Bauschke, H.H. and Burachik, R.S. and Combettes, P.L. and Elser, V. and Luke, D.R. and Wolkowicz, H.},
   TITLE = {Fixed-Point Algorithms for Inverse Problems in Science and
Engineering},
PUBLISHER = {Springer},
    SERIES = {Springer Optimization and Its Applications},
  ADDRESS = {},
    VOLUME = {49},
      YEAR = {2011},
  URL =
{http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-1-4419-9568-1}
}



@book{BGKW:07,
   TITLE = {12th  ILAS Conference Proceeding, Regina 2005},
   EDITOR = {
R. Bhatia and  R. Guralnick and  S. Kirkland and 
              H. Wolkowicz},
      NOTE = {Held in Regina, SK, June 26--29, 2005},
publisher="Elsevier",
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {421,1},
      YEAR = {2007},
     PAGES = {1--2},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {15-06},
  MRNUMBER = {MR2290680},
}

@book{Sturmissue:07,
   EDITOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
   TITLE = {Large Scale Nonlinear and Semidefinite Programming},
     NOTE = {Dedicated to the memory of Jos Sturm,
             Math. Programming,  Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
  ADDRESS = {Amsterdam},
    VOLUME = {109, 2-3, Ser. B},
      YEAR = {2007},
     PAGES = {207-209},
      ISSN = {0025-5610},
   MRCLASS = {90-06 (90C06 90C32)},
  MRNUMBER = {MR2295140},
  URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/d4353m3642j7n008/}
}


@book{PardWo:01,
 EDITOR =  "P. Pardalos and  H. Wolkowicz",
TITLE = {New approaches for hard discrete optimization},
      NOTE = {Papers from the Fields Workshop on Novel Approaches to
Hard
              Discrete Optimization held at the University of Waterloo,
              Waterloo, ON, April 26--28, 2001,
              J. Comb. Optim. {\bf 6} (2002), no. 3},
 PUBLISHER = {Springer},
   ADDRESS = {Norwell, MA},
      YEAR = {2002},
     PAGES = {i--ii and 235--352},
      ISSN = {1382-6905},
   MRCLASS = {90-06 (90C27)},
  MRNUMBER = {MR1920209},
}
		


@proceedings{PardWolk:02,
 EDITOR =  "P. Pardalos and  H. Wolkowicz",
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html",
  TITLE = {Novel approaches to hard discrete optimization},
    SERIES = {Fields Institute Communications},
    VOLUME = {37},
      NOTE = {Papers from the workshop held at the University of
Waterloo,
              Waterloo, ON, April 26--28, 2001},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {2003},
     PAGES = {viii+181},
      ISBN = {0-8218-3248-4},
   MRCLASS = {00B25 (68-06 90-06)},
  MRNUMBER = {MR1987230 (2004a:00021)},
}
		



@proceedings{PardWolk:96,
series="The Fields Institute for Research in Mathematical Sciences,
Communications Series",
    TITLE = {Topics in Semidefinite and Interior-Point Methods},
BOOKTITLE = {Proceedings of the workshop held in Toronto, ON, May 1996},
 EDITOR =  "P. Pardalos and  H. Wolkowicz",
PUBLISHER = {American Mathematical Society},
  ADDRESS = {Providence, RI},
     YEAR = {1998},
    PAGES = {xx+250},
     ISBN = {0-8218-0825-7},
  MRCLASS = {90-06},
 MRNUMBER = {98j:90005},
bibsource =
"http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/ABSTRACTS.html"
}



@book{PardWolk:97,
 EDITOR =  "P. Pardalos and  H. Wolkowicz",
    TITLE = {Semidefinite Programming and Interior-Point Approaches for
             Combinatorial Optimization Problems},
     NOTE = {Papers from the workshop held at the University of Toronto,
            Toronto, ON, May 15--17, 1996,
             J. Comb. Optim. {\bf 2} (1998), no. 1},
PUBLISHER = {Kluwer Academic Publishers},
  ADDRESS = {Hingham, MA},
     YEAR = {1998},
    PAGES = {1--109},
     ISSN = {1382-6905},
  MRCLASS = {90-06 (90C26 90C27)},
 MRNUMBER = {99a:90012},
}


@book{OvWo:96,
   TITLE = {Semidefinite Programming},
   EDITOR = "M.L. Overton and H. Wolkowicz",
     NOTE = {Dedicated to the memory of Svatopluk Poljak,
             Math. Programming {\bf 77} (1997), no. 2, Ser. B},
PUBLISHER = {North-Holland Publishing Co.},
  ADDRESS = {Amsterdam},
     YEAR = {1997},
    PAGES = {i--ii and 97--320},
     ISSN = {0025-5610},
    CODEN = {MHPGA4},
  MRCLASS = {90-06 (00B30)},
 MRNUMBER = {98a:90010},
}





@book{PSWZ:94,
   TITLE = {Special Issue Honoring Ingram Olkin},
   EDITOR = {F. Pukelsheim and G. P. H. Styan and H. Wolkowicz and I.
Zaballa},
     NOTE = {Linear Algebra and Its Applications
              {\bf 199} (1994)},
PUBLISHER = {Elsevier Science Inc.},
     YEAR = {1994},
    PAGES = {i--viii and 445 pp.},
}



@book{PardWolk:94,
    EDITOR =  "P. Pardalos and  H. Wolkowicz",
    TITLE = {Quadratic assignment and related problems},
     NOTE = {Papers from the workshop held at Rutgers University, New
             Brunswick, New Jersey, May 20--21, 1993},
PUBLISHER = {American Mathematical Society},
  ADDRESS = {Providence, RI},
     YEAR = {1994},
    PAGES = {xii+364},
     ISBN = {0-8218-6607-9},
  MRCLASS = {90-06 (90C27 90C30 90C35)},
 MRNUMBER = {95b:90005},
}




@book{SaVaWo:97,
   editor = "H. Wolkowicz and R. Saigal and L. Vandenberghe",
     TITLE = {Handbook of semidefinite programming},
    SERIES = {International Series in Operations Research \& Management
              Science, 27},
      NOTE = {Theory, algorithms, and applications},
 PUBLISHER = {Kluwer Academic Publishers},
   ADDRESS = {Boston, MA},
      YEAR = {2000},
     PAGES = {xxviii+654},
      ISBN = {0-7923-7771-0},
   MRCLASS = {90-00 (90C22)},
  MRNUMBER = {MR1778223 (2001k:90001)},
MRREVIEWER = {K. G. Murty},
}
		




#  222222   CHAPTERS (chapters in books)
###############################




@incollection{KrislockWolk:10,
         author      = "Krislock, N. and Wolkowicz, H.",
 title = "Euclidean Distance Matrices and Applications",
number="2009-06",
series="International Series in Operations Research \& Management Science",
vol ="166",
     PAGES = {879--914},
         Publisher="Springer-Verlag",
     booktitle  ="Handbook on Semidefinite, Cone and Polynomial Optimization",
     ISBN = {978-1-4614-0768-3},
       URL =
{http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-0768-3},
year="2011"
}

@incollection{Wolkgenerat:09,
         author      = "H. Wolkowicz",
   TITLE = {Generating eigenvalue bounds using optimization},
 BOOKTITLE = {Nonlinear analysis and variational problems},
    SERIES = {Springer Optim. Appl.},
    VOLUME = {35},
     PAGES = {465--490},
 PUBLISHER = {Springer},
   ADDRESS = {New York},
      YEAR = {2010},
   MRCLASS = {15A42 (90C31)},
  MRNUMBER = {2581881},
       DOI = {10.1007/978-1-4419-0158-3_29},
       URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-0158-3_29},
}


@incollection{WoHLA:05,
         author = "H. Wolkowicz",
         title = "Semidefinite Programming",
         booktitle       = "CRC Handbook of Linear Algebra (HLA)",
         editor = "Leslie Hogben",
         Publisher="CRC Press",
        pages = {51-1--51-13},
         ADDRESS = {Bacon Raton, Fl},
note = "2008 Choice Magazine Outstanding Academic Title",
 URL = "www.crcpress.com/shopping\_cart/products/product\_detail.asp?sku=C5106\&parent\_id=\&pc=",
         year    = "2007"
}





@incollection{Wolknonlinassign:99,
         author = "H. Wolkowicz",
TITLE = {Semidefinite programming approaches to the quadratic
              assignment problem},
 BOOKTITLE = {Nonlinear assignment problems},
    SERIES = {Comb. Optim.},
    VOLUME = {7},
     PAGES = {143--174},
 PUBLISHER = {Kluwer Acad. Publ.},
   ADDRESS = {Dordrecht},
      YEAR = {2000},
   MRCLASS = {90C27 (90C22)},
  MRNUMBER = {MR1893727},
}



@incollection{AlWo:99,
         author = "A. Alfakih  and H. Wolkowicz",
    TITLE = {Matrix completion problems},
 BOOKTITLE = {Handbook of semidefinite programming},
    SERIES = {Internat. Ser. Oper. Res. Management Sci.},
    VOLUME = {27},
     PAGES = {533--545},
 PUBLISHER = {Kluwer Acad. Publ.},
   ADDRESS = {Boston, MA},
      YEAR = {2000},
   MRCLASS = {90C22 (65F30)},
  MRNUMBER = {MR1778240},
}
		




@incollection{NeWoYe:99,
         author = "Y.E. Nesterov  and H. Wolkowicz and Y. Ye",
     TITLE = {Semidefinite programming relaxations of nonconvex
quadratic
              optimization},
 BOOKTITLE = {Handbook of semidefinite programming},
    SERIES = {Internat. Ser. Oper. Res. Management Sci.},
    VOLUME = {27},
     PAGES = {361--419},
 PUBLISHER = {Kluwer Acad. Publ.},
   ADDRESS = {Boston, MA},
      YEAR = {2000},
   MRCLASS = {90C22 (90C26)},
  MRNUMBER = {MR1778235},
}

@incollection{KrukWolk:99,
         author = "S. Kruk  and H. Wolkowicz",
   TITLE = {Sequential, quadratic constrained, quadratic programming for
              general nonlinear programming},
 BOOKTITLE = {Handbook of semidefinite programming},
    SERIES = {Internat. Ser. Oper. Res. Management Sci.},
    VOLUME = {27},
     PAGES = {563--575},
 PUBLISHER = {Kluwer Acad. Publ.},
   ADDRESS = {Boston, MA},
      YEAR = {2000},
   MRCLASS = {90C22 (90C55)},
  MRNUMBER = {MR1778242},
}
		


@incollection{wolkcamb:99,
         author = "H. Wolkowicz",
         title = "Semidefinite and {L}agrangian Relaxations for hard
combinatorial problems",
         booktitle       = "Proceedings of 19th IFIP TC7 Conference on
System Modelling and Optimization, July, 1999, Cambridge",
         editor = "M.J.D. Powell",
         Publisher="Kluwer Academic Publishers",
         ADDRESS = {Boston, MA},
         pages = {269-309},
         year = "2000"
}

@incollection{Wolkapplhand:99,
         author = "H. Wolkowicz",
         title = "Semidefinite Programming",
         booktitle       = "Handbook of
       Applied Optimization",
         editor      = "P.M. Pardalos and M.G.C. Resende",
         Publisher="Oxford University Press, New York",
     ISBN = {0-19-512594-0},
         year    = "2002",
         pages = {40-50},
}




@incollection{wolk:98,
author="H. Wolkowicz",
 title = "Duality for Semidefinite Programming",
institution="University of Waterloo",
type="Research Report",
booktitle="Encyclopedia of Optimization",
publisher="Kluwer Academic Publishers",
         ADDRESS = {Boston, MA},
pages = "",
year="2001",
}






#  333333   PAPERS in REFEREED JOURNALS
###############################
#   start of journal  ...  PAPERS
###############################


############ YEAR 2013


@techreport{LinWolkowicz:13,
         author      = "Lin, M-H. and Wolkowicz, H.",
 title = "A general Hua-type matrix equality and its applications",
institution="University of Waterloo",
note = "7 pages, submitted Jan. 2013",
year="2013"
}



############ YEAR 2012




@techreport{Babakmanifold:12,
         author      = "B. Alipanahi and N. Krislock and A.  Ghodsi and
H. Wolkowicz",
 title = "Large-Scale Manifold Learning by Semidefinite Facial Reduction",
institution="University of Waterloo",
  URL = "http://hal.archives-ouvertes.fr/hal-00684488",
  note = "19pages",
address="Waterloo, Ontario",
year="2012"
}

@incollection {Babakprotein:12,
   author = {Alipanahi, Babak and Krislock, Nathan and Ghodsi, Ali and
Wolkowicz, Henry and Donaldson, Logan and Li, Ming},
   affiliation = {David R. Cheriton School of Computer Science,
University of Waterloo, Waterloo, Ontario, Canada},
   title = {Protein Structure by Semidefinite Facial Reduction},
   booktitle = {Research in Computational Molecular Biology},
   series = {Lecture Notes in Computer Science},
   editor = {Chor, Benny},
   publisher = {Springer Berlin / Heidelberg},
   isbn = {978-3-642-29626-0},
   keyword = {Computer Science},
   pages = {1-11},
   volume = {7262},
   year = {2012}
}


@techreport {Alipanahi:2012,
	Title = {Determining Protein Structures from {NOESY} Distance
Constraints by Semidefinite Programming},
	Author = {Babak Alipanahi and Nathan Krislock and Ali Ghodsi and
Henry Wolkowicz and Logan Donaldson and Ming Li},
	Note = {To appear in the Journal of Computational Biology, 32
pages},
	Year = {submitted Mar. 2012, accepted Sept. 2012}
        }



@conference{Babaketal:12,
title="Protein Structure by Semidefinite Facial Reduction",
         author      = "B. Alipanahi and N. Krislock and  A.  Ghodsi and
H.  Wolkowicz and L.  Donaldson and M.  Li",
institution="University of Waterloo",
note="poster session at RECOMB2012",
booktitle="URL: recomb2012.crg.cat",
address="Waterloo, Ontario",
  URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2012"
}


############ YEAR 2011


@article{MingW:11,
         author      = "Lin, M-H. and Wolkowicz, H.",
 title = "An Eigenvalue Majorization Inequality for Positive
Semidefinite Block Matrices: In Memory of {K}y {F}an",
   JOURNAL = lama,
    VOLUME = {60},
     PAGES = {1365-1368},
    year   ={2012},
number="11-12",
}


@inproceedings{ScTuWonumeric:07,
         author      = "Cheung, Y-L. and Schurr, S.  and Wolkowicz, H.",
editor =  "Bailey, D.H. and  Bauschke, H.H. and  Borwein, P. and  Garvan, F. and  Thera, M. and  Vanderwerff, J. and  Wolkowicz, H.",
 title = "Preprocessing and Regularization for Degenerate Semidefinite
Programs",
  booktitle = {Computational and {A}nalytical {M}athematics, {I}n {H}onor of
{J}onathan {B}orwein's 60th {B}irthday},
publisher="Springer",
    VOLUME = {50},
Series = "Springer Proceedings in Mathematics \& Statistics",
year="2013",
ISBN = "978-1-4614-7620-7",
  URL = {http://www.optimization-online.org/DB_HTML/2011/02/2929.html},
note = "49 pages",
}



@conference{Babaketal:11,
title="{SPROS}: An {SDP}-Based Protein Structure
Determination from {NMR} Data",
         author      = "B. Alipanahi and N. Krislock and  A.  Ghodsi and
H.  Wolkowicz and L.  Donaldson and M.  Li",
institution="University of Waterloo",
note="poster session at RECOMB2011",
booktitle="URL: compbio.cs.sfu.ca/recomb2011",
address="Waterloo, Ontario",
  URL = {http://compbio.cs.sfu.ca/recomb2011},
year="2011"
}


@techreport{DoanW:11,
         author      = "Doan, X.V.  and Wolkowicz, H.",
 title = "Numerical Computations and the $\omega$-Condition Number",
institution="University of Waterloo",
number="CORR 2011-03",
note = "submitted in July, 2011, 19 pages",
address="Waterloo, Ontario",
year="2011"
}


@techreport{ForbesVrisWolk:11,
         author      = "Burkowski, F. and Cheung, Y-L.  and Wolkowicz, H.",
 title = "Efficient use of semidefinite programming for selection of
rotamers in protein conformations",
institution="University of Waterloo",
number="30 pages, submitted Dec. 2012",
address="Waterloo, Ontario",
year="2012"
}



############ YEAR 2010


@article{KrukDoanW:10,
         author      = "Doan, X.V. and Kruk, S.  and Wolkowicz, H.",
 title = "A robust algorithm for semidefinite programming",
institution="University of Waterloo",
          pages       = "667--693",
          volume      = "27",
          journal     = oms,
          number     = "4-5",
       DOI = {10.1080/10556788.2011.610456},
year="2012"
}



@article{DingGeWolk:10,
         author      = "Ding, Y.  and Ge, D. and Wolkowicz, H.",
TITLE = {On equivalence of semidefinite relaxations for quadratic
              matrix programming},
   JOURNAL = {Math. Oper. Res.},
  FJOURNAL = {Mathematics of Operations Research},
    VOLUME = {36},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {88--104},
      ISSN = {0364-765X},
   MRCLASS = {90C20 (90C22)},
  MRNUMBER = {2799394},
       DOI = {10.1287/moor.1100.0473},
       URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.1100.0473},
}
		





############ YEAR 2009


@article{kriswolk:09,
author = {N. Krislock and H. Wolkowicz},
collaboration = {},
title = {Explicit Sensor Network Localization using Semidefinite
Representations and Facial Reductions},
publisher = {SIAM},
year = {2010},
journal = {SIAM Journal on Optimization},
volume = {20},
number = {5},
pages = {2679-2708},
keywords = {sensor network localization; Euclidean distance matrix
completions; semidefinite programming; loss of the Slater constraint
qualification},
url = {http://link.aip.org/link/?SJE/20/2679/1},
doi = {10.1137/090759392}
}



@article{AlfakihAnjosKPW:08,
author="A. Alfakih and M.F. Anjos and V. Piccialli and H. Wolkowicz",
 title = "Euclidean Distance Matrices,
Semidefinite Programming, and Sensor Network Localization",
institution="University of Waterloo",
journal="Portug. Math.",
volume = "68",
pages="53-102",
  URL =
{http://www.ems-ph.org/journals/show_abstract.php?issn=0032-5155&vol=68&iss=1&rank=4&srch=searchterm},
number="1",
address="Waterloo, Ontario",
year="2011",
}




############ YEAR 2008


@article{ScTuWominimal:07,
         author      = "Tun{\c{c}}el, L. and Wolkowicz, H.",
 title = "Strong duality and minimal representations for cone optimization",
number="2",
volume = "53",
URL = "COAP DOI: 10.1007/s10589-012-9480-0",
journal = "coap",
pages = "619-648",
year="2012",
}


@inproceedings{DiKrQiWo:08,
         author      = "Ding, Y. and 
       Krislock, N. and Qian, J. and Wolkowicz, H.",
     TITLE = {Sensor network localization, {E}uclidean distance matrix
              completions, and graph realization},
   JOURNAL = {Optim. Eng.},
  booktitle = {Optimization and Engineering. International Multidisciplinary
              Journal to Promote Optimization Theory \& Applications in
              Engineering Sciences},
    VOLUME = {11},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {45--66},
      ISSN = {1389-4420},
   MRCLASS = {90B10 (90B80 90C22)},
  MRNUMBER = {2601732 (2011b:90012)},
MRREVIEWER = {Ning Ruan},
       DOI = {10.1007/s11081-008-9072-0},
       URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11081-008-9072-0},
}


############ YEAR 2007





############ YEAR 2006

@inproceedings{AnDeHaGrWeWolk:06,
author= "M.F. Anjos and M. Desroches and A. Haque and O.
Grodzevich and H. Wei and H. Wolkowicz",
    TITLE = {Multi-Stage Investment Decision under Contingent Demand
for Networking Planning},
BOOKTITLE = {Proceedings of the 2006 IEEE GLOBECOM Conference in San
Francisco},
    PAGES = {1--5 },
PUBLISHER = {},
  ADDRESS = { },
  URL = {http://www.ieee-globecom.org/2006/},
     YEAR = {2007},
}



@article{PoTuWo:06,
         author      = "Potaptchik, M. and Tun{\c{c}}el, L. and H. Wolkowicz",
 title = "Large Scale Portfolio Optimization with Piecewise Linear
Transaction Costs",
journal = "Optimization Methods and Software",
volume = "23",
number = "6",
pages = "929-952",
institution="University of Waterloo",
URL="orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#portfolio",
year="2008"
}



@article{DingWolk:06,
         author      = "Ding, Y.  and H. Wolkowicz",
   TITLE = {A low-dimensional semidefinite relaxation for the quadratic
              assignment problem},
   JOURNAL = {Math. Oper. Res.},
  FJOURNAL = {Mathematics of Operations Research},
    VOLUME = {34},
      YEAR = {2009},
    NUMBER = {4},
     PAGES = {1008--1022},
      ISSN = {0364-765X},
   MRCLASS = {90C26 (65K05 65K10 90B80 90C22)},
  MRNUMBER = {2573507},
MRREVIEWER = {Wei Hong Yang},
       DOI = {10.1287/moor.1090.0419},
       URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/moor.1090.0419},
}




############ YEAR 2005


@article{AlfakihWolk:05,
author="A. Alfakih  and  H. Wolkowicz",
 title = "Necessary and Sufficient Trace Inequalities for
               {E}uclidean Distance Matrices",
institution="University of Waterloo",
address="Waterloo, Ontario",
pages = "499--506",
volume = "55",
number = "5",
journal = lama,
year="2007",
}


@article{GroWo:05,
author="O. Grodzevich  and  H. Wolkowicz",
 title = "Regularization Using a Parameterized Trust Region Subproblem",
institution="University of Waterloo",
number="1-2",
address="Waterloo, Ontario",
  JOURNAL = {Math. Programming},
 FJOURNAL = {Mathematical Programming},
pages = "193-220",
volume = "116",
year="2009",
}


############ YEAR 2004



@article {GoWo:04,
author="M. Gonzalez-Lima and H. Wei  and  H. Wolkowicz",
 title = "A stable primal-dual approach for linear programming under
nondegeneracy assumptions",
        journal = coap,
        volume = "44",
        pages = "213-247",
        number = "2",
YEAR   = "2009",
}


@article{homwolkA:04,
         author      = "Al-Homidan, S. and H. Wolkowicz",
   TITLE = {Approximate and exact completion problems for {E}uclidean
              distance matrices using semidefinite programming},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {406},
      YEAR = {2005},
     PAGES = {109--141},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {90C22 (15Axx)},
  MRNUMBER = {MR2156431},
}





@article{WeiWolk:06,
         author      = "H. Wei and  H. Wolkowicz",
 title = "Generating and solving hard instances in  Semidefinite Programming",
institution="University of Waterloo",
number="1",
address="Waterloo, Ontario",
journal = MP,
volume="125",
pages="31-45",
year="2010"
}





############ YEAR 2003

@article{ScTuWolk:03,
         author      = "L.  Tun{\c{c}}el and H. Wolkowicz",
  TITLE = {Strengthened existence and uniqueness conditions for search
              directions in semidefinite programming},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {400},
      YEAR = {2005},
     PAGES = {31--60},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {90C22 (15A39)},
  MRNUMBER = {MR2131915 (2006a:90070)},
MRREVIEWER = {Etienne de Klerk},
}



############ YEAR 2002




############ YEAR 2001

@article{Wolk:01,
author="H. Wolkowicz",
     TITLE = {Solving semidefinite programs using preconditioned
conjugate gradients},
   JOURNAL = {Optim. Methods Softw.},
  FJOURNAL = {Optimization Methods \& Software},
    VOLUME = {19},
      YEAR = {2004},
    NUMBER = {6},
     PAGES = {653--672},
      ISSN = {1055-6788},
   MRCLASS = {90C22 (90C52)},
  MRNUMBER = {MR2102220 (2005h:90091)},
MRREVIEWER = {E. Alper Y{\i} ld{\i} r{\i} m},
}



@article{AnjosWolk:01,
author="M.F. Anjos  and H. Wolkowicz",
 TITLE = {Geometry of semidefinite max-cut relaxations via matrix
ranks},
      NOTE = {New approaches for hard discrete optimization (Waterloo,
ON,
              2001)},
   JOURNAL = {J. Comb. Optim.},
  FJOURNAL = {Journal of Combinatorial Optimization},
    VOLUME = {6},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {237--270},
      ISSN = {1382-6905},
   MRCLASS = {90C27 (90C22)},
  MRNUMBER = {MR1920210 (2003h:90057)},
MRREVIEWER = {Jos F. Sturm},
}





@article{FortinWolk:03,
         author      = "C. Fortin and  H. Wolkowicz",
    TITLE = {The trust region subproblem and semidefinite programming},
   JOURNAL = {Optim. Methods Softw.},
  FJOURNAL = {Optimization Methods \& Software},
    VOLUME = {19},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {41--67},
      ISSN = {1055-6788},
   MRCLASS = {90C22 (90-06)},
  MRNUMBER = {MR2062235 (2005c:90065)},
MRREVIEWER = {Ya Xiang Yuan},
}





@article{AlWo:01,
         author      = "A. Alfakih and H. Wolkowicz",
TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale
              transform},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {340},
      YEAR = {2002},
     PAGES = {149--154},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {51K05 (15A48 52B35)},
  MRNUMBER = {MR1869424 (2002i:51010)},
}



############ YEAR 2000

@article{AnjosWolkb:00,
author="M.F. Anjos  and H. Wolkowicz",
TITLE = {Semidefinite programming for discrete optimization and matrix
              completion problems},
      NOTE = {Workshop on Discrete Optimization, DO'99 (Piscataway,
NJ)},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {123},
      YEAR = {2002},
    NUMBER = {1-3},
     PAGES = {513--577},
      ISSN = {0166-218X},
     CODEN = {DAMADU},
   MRCLASS = {90C22 (90C27)},
  MRNUMBER = {MR1922345 (2003f:90054)},
MRREVIEWER = {Ji-Ming Peng},
}


@article{KrWo:00,
         author      = " S. Kruk and  H. Wolkowicz",
bibsource = "http://jam.hindawi.com/volume-2003/S1110757X03301081.html",
  TITLE = {Convergence of a short-step primal-dual algorithm based on
the {G}auss-{N}ewton direction},
   JOURNAL = {J. Appl. Math.},
  FJOURNAL = {Journal of Applied Mathematics},
      YEAR = {2003},
    NUMBER = {10},
    volume  = {2003},
     PAGES = {517--534},
      ISSN = {1110-757X},
   MRCLASS = {90C53 (65K05)},
  MRNUMBER = {MR2013788 (2005a:90193)},
MRREVIEWER = {Heinz H. Bauschke},
}

@article{AnWo:00,
author="M.F. Anjos  and H. Wolkowicz",
TITLE = {Strengthened semidefinite relaxations via a second lifting for
              the {M}ax-{C}ut problem},
      NOTE = {Foundations of heuristics in combinatorial optimization},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {119},
      YEAR = {2002},
    NUMBER = {1-2},
     PAGES = {79--106},
      ISSN = {0166-218X},
     CODEN = {DAMADU},
   MRCLASS = {90C27 (68Q99 68R10 90C22)},
  MRNUMBER = {MR1892412 (2003c:90084)},
MRREVIEWER = {Konrad Engel},
}


############ YEAR 1999




@article{wolkgap:99,
         author = "H. Wolkowicz",
TITLE = {A note on lack of strong duality for quadratic problems with
              orthogonal constraints},
      NOTE = {Interior point methods (Budapest, 2000)},
   JOURNAL = {European J. Oper. Res.},
  FJOURNAL = {European Journal of Operational Research},
    VOLUME = {143},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {356--364},
      ISSN = {0377-2217},
     CODEN = {EJORDT},
   MRCLASS = {90C20 (90C46)},
  MRNUMBER = {MR1940977 (2003h:90044)},
MRREVIEWER = {Franz Rendl},
}
		


@article{NaWoZh:97,
         author      = "J.L. Nazareth and H. Wolkowicz and M. Zhu",
    TITLE = {The quasi-{C}auchy relation and diagonal updating},
     NOTE = {Dedicated to John E. Dennis, Jr., on his 60th birthday},
 JOURNAL = {SIAM J. Optim.},
 FJOURNAL = {SIAM Journal on Optimization},
   VOLUME = {9},
     YEAR = {1999},
   NUMBER = {4},
    PAGES = {1192--1204 (electronic)},
     ISSN = {1095-7189},
  MRCLASS = {90Cxx (65Fxx)},
 MRNUMBER = {1 724 783},
}


@incollection {MR1846167,
    AUTHOR = {Anjos, Miguel F. and Wolkowicz, Henry},
     TITLE = {Strengthened semidefinite programming relaxations for the
              max-cut problem},
 BOOKTITLE = {Advances in convex analysis and global optimization
              (Pythagorion, 2000)},
    SERIES = {Nonconvex Optim. Appl.},
    VOLUME = {54},
     PAGES = {409--420},
 PUBLISHER = {Kluwer Acad. Publ.},
   ADDRESS = {Dordrecht},
      YEAR = {2001},
   MRCLASS = {90C22 (90C27 90C57)},
  MRNUMBER = {MR1846167},
}
	



############ YEAR 1998

@article{AnChWoYu:98,
author="K.M. Anstreicher  and X. Chen and H. Wolkowicz and Y. Yuan",
    TITLE = {Strong duality for a trust-region type relaxation of the
            quadratic assignment problem},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {301},
     YEAR = {1999},
   NUMBER = {1-3},
    PAGES = {121--136},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {90Cxx},
 MRNUMBER = {1 728 045}
}



@article{AnWo:98,
author="K.M. Anstreicher  and H. Wolkowicz",
 title = "On {L}agrangian relaxation of
quadratic matrix constraints",
journal = simax,
volume = "22",
number = "1",
institution="University of Waterloo",
address="Waterloo, Ontario",
year="2000",
pages = "41-55",
}




@article{KrMuReVaWo:98,
         author      = " S. Kruk and M. Muramatsu and
 F. Rendl and R.J. Vanderbei and H. Wolkowicz",
TITLE = {The {G}auss-{N}ewton direction in semidefinite programming},
   JOURNAL = {Optim. Methods Softw.},
  FJOURNAL = {Optimization Methods and Software},
    VOLUME = {15},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {1--28},
      ISSN = {1055-6788},
     CODEN = {OMSOE2},
   MRCLASS = {90C22 (90C51)},
  MRNUMBER = {MR1891034 (2003b:90063)},
MRREVIEWER = {Marina Alex Epelman},
}
		


@article{KrWo:98,
   AUTHOR = {Kruk, S. and Wolkowicz, H.},
    TITLE = {Pseudolinear programming},
  JOURNAL = {SIAM Rev.},
 FJOURNAL = {SIAM Review},
   VOLUME = {41},
     YEAR = {1999},
   NUMBER = {4},
    PAGES = {795--805 (electronic)},
     ISSN = {1095-7200},
  MRCLASS = {90C08 (90C30)},
 MRNUMBER = {2000f:90030},
}

############ YEAR 1997

@article{Wolk:image98,
author="Wolkowicz, H.",
title="Semidefiniteness of a sum: Problem Solution 19-5.5",
journal="IMAGE, The Bulletin of ILAS",  
volume="20",
year="1998",
pages="30-31"
}



@article{AlKaWo:97,
         author      = "A. Alfakih and A. Khandani and H. Wolkowicz",
    TITLE = {Solving {E}uclidean distance matrix completion problems
via
             semidefinite programming},
     NOTE = {A tribute to Olvi Mangasarian},
  JOURNAL = {Comput. Optim. Appl.},
 FJOURNAL = {Computational Optimization and Applications. An
International
             Journal},
   VOLUME = {12},
     YEAR = {1999},
   NUMBER = {1-3},
    PAGES = {13--30},
     ISSN = {0926-6003},
    CODEN = {CPPPEF},
  MRCLASS = {90C22 (90C25)},
 MRNUMBER = {2000e:90042},
   MRREVR = {Christian Michelot},
}

@inproceedings{KrWo:97,
author="S. Kruk  and H. Wolkowicz",
    TITLE = {{S}{Q}$^2${P}, sequential quadratic
constrained quadratic programming},
BOOKTITLE = {Advances in {N}onlinear {P}rogramming (Beijing, 1996)},
    PAGES = {177--204},
PUBLISHER = {Kluwer Acad. Publ.},
  ADDRESS = {Dordrecht},
     YEAR = {1998},
  MRCLASS = {90C30 (65K05)},
 MRNUMBER = {99f:90128},
}


############ YEAR 1996




@article{WoZh:96,
author="H. Wolkowicz and Q. Zhao",
    TITLE = {Semidefinite programming relaxations for the graph
partitioning
             problem},
     NOTE = {Selected for the special Editors' Choice, Edition 1999},
  JOURNAL = {Discrete Appl. Math.},
 FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
             Optimization and Computer Science},
   VOLUME = {96/97},
     YEAR = {1999},
    PAGES = {461--479},
     ISSN = {0166-218X},
    CODEN = {DAMADU},
  MRCLASS = {90C35 (15A48 90C22)},
 MRNUMBER = {1 724 735},
   MRREVR = {Franz Rendl},
}
}



@article{KaReWoZh:94,
author="Q. Zhao and S.E. Karisch and F. Rendl and H. Wolkowicz",
    TITLE = {Semidefinite programming relaxations for the quadratic
             assignment problem},
     NOTE = {Semidefinite programming and interior-point approaches
for
             combinatorial optimization problems  (Fields Institute,
Toronto, ON, 1996)},
  JOURNAL = {J. Comb. Optim.},
 FJOURNAL = {Journal of Combinatorial Optimization},
   VOLUME = {2},
     YEAR = {1998},
   NUMBER = {1},
    PAGES = {71--109},
     ISSN = {1382-6905},
  MRCLASS = {90C27 (90C26)},
 MRNUMBER = {99f:90103},
   MRREVR = {Yin Zhang},
}


############ YEAR 1995



@article{JoKrWo:95,
         author      = "C.R. Johnson and B. Kroschel and H. Wolkowicz",
    TITLE = {An interior-point method for approximate positive
semidefinite
             completions},
  JOURNAL = {Comput. Optim. Appl.},
 FJOURNAL = {Computational Optimization and Applications. An
International
             Journal},
   VOLUME = {9},
     YEAR = {1998},
   NUMBER = {2},
    PAGES = {175--190},
     ISSN = {0926-6003},
    CODEN = {CPPPEF},
  MRCLASS = {90C25 (90C20)},
 MRNUMBER = {99a:90154},
   MRREVR = {Michael L. Dowling},
}



@article{RaTuWo:95,
         author      = "M.V. Ramana and L.  Tun{\c{c}}el and H. Wolkowicz",
    TITLE = {Strong duality for semidefinite programming},
  JOURNAL = {SIAM J. Optim.},
 FJOURNAL = {SIAM Journal on Optimization},
   VOLUME = {7},
     YEAR = {1997},
   NUMBER = {3},
    PAGES = {641--662},
     ISSN = {1052-6234},
    CODEN = {SJOPE8},
  MRCLASS = {90C30 (49M35 49N15)},
 MRNUMBER = {98m:90147},
   MRREVR = {J. Borwein},
}




@incollection{HePoReWo:95,
author="C. Helmberg and S. Poljak
               and F. Rendl and H. Wolkowicz",
    TITLE = {Combining semidefinite and polyhedral relaxations for
integer
             programs},
BOOKTITLE = {Integer {P}rogramming and {C}ombinatorial {O}ptimization
(Copenhagen,
             1995)},
    PAGES = {124--134},
PUBLISHER = {Springer},
  ADDRESS = {Berlin},
     YEAR = {1995},
  MRCLASS = {90C10 (90C27)},
 MRNUMBER = {1 367 976},
}




############ YEAR 1994



@article{ReWo:94,
         author      = "F. Rendl and H. Wolkowicz",
    TITLE = {A semidefinite framework for trust region subproblems with
             applications to large scale minimization},
  JOURNAL = {Math. Programming},
 FJOURNAL = {Mathematical Programming},
   VOLUME = {77},
     YEAR = {1997},
   NUMBER = {2, Ser. B},
    PAGES = {273--299},
     ISSN = {0025-5610},
    CODEN = {MHPGA4},
  MRCLASS = {90C20 (90C33)},
 MRNUMBER = {98i:90063},
   MRREVR = {M. Teboulle},
}




@article {PoReWo:94,
         author      = "S. Poljak and F. Rendl and H. Wolkowicz",
          TITLE = {A recipe for semidefinite relaxation for
$(0,1)$-quadratic
             programming},
  JOURNAL = {J. Global Optim.},
 FJOURNAL = {Journal of Global Optimization. An International Journal
             Dealing with Theoretical and Computational Aspects of
Seeking
             Global Optima and Their Applications in Science, Management
and
             Engineering},
   VOLUME = {7},
     YEAR = {1995},
   NUMBER = {1},
    PAGES = {51--73},
     ISSN = {0925-5001},
    CODEN = {JGOPEO},
  MRCLASS = {90C09 (90C27)},
 MRNUMBER = {96d:90053},
   MRREVR = {Paulo Barcia},
}





@article {HeReVaWo:93,
         author      = "C. Helmberg and F. Rendl and R.J. Vanderbei and H. Wolkowicz",
         TITLE = {An interior-point method for semidefinite
programming},
  JOURNAL = {SIAM J. Optim.},
 FJOURNAL = {SIAM Journal on Optimization},
   VOLUME = {6},
     YEAR = {1996},
   NUMBER = {2},
    PAGES = {342--361},
     ISSN = {1052-6234},
    CODEN = {SJOPE8},
  MRCLASS = {90C30 (65K05 90C27)},
 MRNUMBER = {97f:90086},
   MRREVR = {Tam{\'a}s Terlaky},
}




@incollection{prw:93,
author="P. Pardalos and F. Rendl and H. Wolkowicz",
    TITLE = {The quadratic assignment problem: a survey and recent
             developments},
editor =  "P.M. Pardalos and  H. Wolkowicz",
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ,
             1993)},
    PAGES = {1--42},
PUBLISHER = {Amer. Math. Soc.},
  ADDRESS = {Providence, RI},
     YEAR = {1994},
  MRCLASS = {90B80 (90C10 90C27)},
 MRNUMBER = {95f:90040},
   MRREVR = {Horst W. Hamacher},
}



############ YEAR 1993

 
@ARTICLE {FaReWo:92,
         author      = "J. Falkner and F. Rendl and H. Wolkowicz",
       TITLE = {A computational study of graph partitioning},
  JOURNAL = {Math. Programming},
 FJOURNAL = {Mathematical Programming},
   VOLUME = {66},
     YEAR = {1994},
   NUMBER = {2, Ser. A},
    PAGES = {211--239},
     ISSN = {0025-5610},
    CODEN = {MHPGA4},
  MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)},
 MRNUMBER = {95h:90153},
   MRREVR = {Yixun Lin},
}




@article{sw5,
author="R. Stern and H. Wolkowicz",
    TITLE = {Trust region problems and nonsymmetric eigenvalue
             perturbations},
  JOURNAL = {SIAM J. Matrix Anal. Appl.},
 FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
   VOLUME = {15},
     YEAR = {1994},
   NUMBER = {3},
    PAGES = {755--778},
     ISSN = {0895-4798},
    CODEN = {SJMAEL},
  MRCLASS = {15A18 (15A42 49R05)},
 MRNUMBER = {95f:15009},
   MRREVR = {Gerd M. Krause},
}



@article{StWo:93,
author="R. Stern and H. Wolkowicz",
    TITLE = {Indefinite trust region subproblems and nonsymmetric
eigenvalue
             perturbations},
  JOURNAL = {SIAM J. Optim.},
 FJOURNAL = {SIAM Journal on Optimization},
   VOLUME = {5},
     YEAR = {1995},
   NUMBER = {2},
    PAGES = {286--313},
     ISSN = {1052-6234},
    CODEN = {SJOPE8},
  MRCLASS = {90C20 (65F15 65K05)},
 MRNUMBER = {96h:90077},
   MRREVR = {Panos M. Pardalos},
}



@incollection{KaReWo:93,
author="S.E. Karisch and F. Rendl and H. Wolkowicz",
editors="P. Pardalos and H. Wolkowicz",
             TITLE = {Trust regions and relaxations for the quadratic
assignment problem},
BOOKTITLE = {Quadratic assignment and related problems (New Brunswick,
NJ, 1993)},
    PAGES = {199--219},
PUBLISHER = {Amer. Math. Soc.},
  ADDRESS = {Providence, RI},
     YEAR = {1994},
  MRCLASS = {90C20 (90C27)},
 MRNUMBER = {95j:90053},
   MRREVR = {Igor Litvinchev},
}



@article{ReWo:90,
         author      = "F. Rendl and H. Wolkowicz",
    TITLE = {A projection technique for partitioning the nodes of a
graph},
     NOTE = {Applied mathematical programming and modeling, II (APMOD
93)
             (Budapest, 1993)},
  JOURNAL = {Ann. Oper. Res.},
 FJOURNAL = {Annals of Operations Research},
   VOLUME = {58},
     YEAR = {1995},
    PAGES = {155--179},
     ISSN = {0254-5330},
  MRCLASS = {90C35 (05C99)},
 MRNUMBER = {96g:90096},
   MRREVR = {Xue Liang Li},
}




@article {PoWo:93,
         author      = "S. Poljak and H. Wolkowicz",
             TITLE = {Convex relaxations of $(0,1)$-quadratic
programming},
  JOURNAL = {Math. Oper. Res.},
 FJOURNAL = {Mathematics of Operations Research},
   VOLUME = {20},
     YEAR = {1995},
   NUMBER = {3},
    PAGES = {550--561},
     ISSN = {0364-765X},
  MRCLASS = {90C09 (90C20)},
 MRNUMBER = {97b:90078},
}



@article{w13,
author="H. Wolkowicz",
    TITLE = {Measures for symmetric rank-one updates},
  JOURNAL = {Math. Oper. Res.},
 FJOURNAL = {Mathematics of Operations Research},
   VOLUME = {19},
     YEAR = {1994},
   NUMBER = {4},
    PAGES = {815--830},
     ISSN = {0364-765X},
  MRCLASS = {90C30 (65F05 65K05)},
 MRNUMBER = {95h:90143},
}






@article{WoZh:93,
author="H. Wolkowicz and Q. Zhao",
    TITLE = {An all-inclusive efficient region of updates for least
change
             secant methods},
  JOURNAL = {SIAM J. Optim.},
 FJOURNAL = {SIAM Journal on Optimization},
   VOLUME = {5},
     YEAR = {1995},
   NUMBER = {1},
    PAGES = {172--191},
     ISSN = {1052-6234},
    CODEN = {SJOPE8},
  MRCLASS = {90C30 (65K05)},
 MRNUMBER = {95k:90096},
   MRREVR = {Bernd Luderer},
}


@article{Wolk:93,
author="H. Wolkowicz",
    TITLE = {Explicit solutions for interval semidefinite linear
programs},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {236},
     YEAR = {1996},
    PAGES = {95--104},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {90C26 (65G10 90C08)},
 MRNUMBER = {96m:90058},
   MRREVR = {Florian Jarre},
}



@article {ReVaWo:93b,
         author      = "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
         title       = "Max-min eigenvalue problems, primal-dual
              interior point algorithms, and trust region subproblems",
         institution = "Department of Combinatorics and Optimization",
          year        = "1995",
          pages       = "1-16",
          volume      = "5",
          journal     = oms,
         address     = "Waterloo, Ont"}


 
@article{DeWo:90,
author="J.E. {Dennis Jr.}  and H. Wolkowicz",
    TITLE = {Sizing and least-change secant methods},
  JOURNAL = {SIAM J. Numer. Anal.},
 FJOURNAL = {SIAM Journal on Numerical Analysis},
   VOLUME = {30},
     YEAR = {1993},
   NUMBER = {5},
    PAGES = {1291--1314},
     ISSN = {0036-1429},
    CODEN = {SJNAAM},
  MRCLASS = {90C30 (49M37 65K05)},
 MRNUMBER = {94g:90107},
}


############ YEAR 1992



@article{HaReWo:89,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
    TITLE = {A new lower bound via projection for the quadratic
assignment
             problem},
  JOURNAL = {Math. Oper. Res.},
 FJOURNAL = {Mathematics of Operations Research},
   VOLUME = {17},
     YEAR = {1992},
   NUMBER = {3},
    PAGES = {727--739},
     ISSN = {0364-765X},
  MRCLASS = {90C27 (90C20)},
 MRNUMBER = {93i:90080},
   MRREVR = {M. C. Puri},
}



@article{hrw2,
author="S.W. Hadley and F. Rendl and H. Wolkowicz",
    TITLE = {Symmetrization of nonsymmetric quadratic assignment
problems
             and the {H}offman-{W}ielandt inequality},
     NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {167},
     YEAR = {1992},
    PAGES = {53--64},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {90C27 (15A42 90B80)},
 MRNUMBER = {93d:90050},
   MRREVR = {Rainer Burkard},
}




@article{jw2,
author="Jeyakumar, V. and Wolkowicz, H.",
    TITLE = {Generalizations of {S}later's constraint qualification for
             infinite convex programs},
  JOURNAL = {Math. Programming},
 FJOURNAL = {Mathematical Programming},
   VOLUME = {57},
     YEAR = {1992},
   NUMBER = {1, Ser. B},
    PAGES = {85--101},
     ISSN = {0025-5610},
    CODEN = {MHPGA4},
  MRCLASS = {90C48 (49N15 90C25)},
 MRNUMBER = {93e:90070},
   MRREVR = {Doug Ward},
}



@inproceedings{biw,
author="Ben-Israel, A. and Wolkowicz, H.",
title="A recursive volume reducing algorithm for semi-infinite
linear programming",
year="1992",
booktitle="Systems and Management Science by Extremal Methods",
publisher="Kluwer Academic Publishers",
         ADDRESS = {Boston, MA},
note="invited paper"
}

############ YEAR 1991



############ YEAR 1990


@inproceedings{hrw4,
author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.",
title="Bounds for the quadratic assignment problems using continuous
optimization",
year="1990",
booktitle="Integer Programming and Combinatorial Optimization",
publisher="University of Waterloo Press",
pages="237-248",
address="Waterloo, Ontario, Canada",
editors="W.R. Pulleyblank and Ravi Kannan"
}



@article{jw1,
author="Jeyakumar, V. and Wolkowicz, H.",
    TITLE = {Zero duality gaps in infinite-dimensional programming},
  JOURNAL = {J. Optim. Theory Appl.},
 FJOURNAL = {Journal of Optimization Theory and Applications},
   VOLUME = {67},
     YEAR = {1990},
   NUMBER = {1},
    PAGES = {87--108},
     ISSN = {0022-3239},
    CODEN = {JOTABN},
  MRCLASS = {49N15 (90C48)},
 MRNUMBER = {92a:49062},
   MRREVR = {R. N. Kaul},
}



@article{stw4,
author="Stern, R.J. and Wolkowicz, H.",
title="Results on invariant cones",
journal=laa,
note="Proceedings from the Haifa Matrix Theory Conference, June 1990",
year="1991",
volume="166",
pages="1-26"
}


############ YEAR 1989

@article{BeatsonWolk:89,
author="R. BEATSON and H. Wolkowicz",
    TITLE = {Post-processing piecewise cubics for monotonicity},
  JOURNAL = {SIAM J. Numer. Anal.},
 FJOURNAL = {SIAM Journal on Numerical Analysis},
   VOLUME = {26},
     YEAR = {1989},
   NUMBER = {2},
    PAGES = {480--502},
     ISSN = {0036-1429},
    CODEN = {SJNAAM},
  MRCLASS = {65D07 (41A05 41A25)},
 MRNUMBER = {90i:65019},
   MRREVR = {Zhen Xiang Xiong},
}

@article{ReWo:89,
author="Rendl, F. and Wolkowicz, H.",
    TITLE = {Applications of parametric programming and eigenvalue
             maximization to the quadratic assignment problem},
  JOURNAL = {Math. Programming},
 FJOURNAL = {Mathematical Programming},
   VOLUME = {53},
     YEAR = {1992},
   NUMBER = {1, Ser. A},
    PAGES = {63--78},
     ISSN = {0025-5610},
    CODEN = {MHPGA4},
  MRCLASS = {90C35 (90C20 90C30)},
 MRNUMBER = {93c:90098},
   MRREVR = {M. C. Puri},
}



############ YEAR 1988

@article{swz,
author="Sutherland, W.R.S. and Wolkowicz, H. and Zeidan, V.",
    TITLE = {An explicit linear solution for the quadratic dynamic
             programming problem},
  JOURNAL = {J. Optim. Theory Appl.},
 FJOURNAL = {Journal of Optimization Theory and Applications},
   VOLUME = {58},
     YEAR = {1988},
   NUMBER = {2},
    PAGES = {319--330},
     ISSN = {0022-3239},
    CODEN = {JOTABN},
  MRCLASS = {49C20 (49D40 90C39 93C55)},
 MRNUMBER = {89e:49023},
}


############ YEAR 1987


@incollection{ws5,
author="Wolkowicz, H. and Styan, G.P.H.",
title= "{S}amuelson's Inequality",
booktitle="Encyclopedia of Statistical Sciences",
year="1987",
editor=" S. Kotz and N. Johnson", 
publisher="Wiley-Interscience", 
Volume="8",
note="invited paper"
}
 

@article{gjmw4,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
    TITLE = {Normal matrices},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {87},
     YEAR = {1987},
    PAGES = {213--225},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {15A57},
 MRNUMBER = {88a:15045},
   MRREVR = {L. Rodman},
}


############ YEAR 1986

@article{smw2,
author="SMITH, P.W. and Wolkowicz, H.",
    TITLE = {A nonlinear equation for linear programming},
  JOURNAL = {Math. Programming},
 FJOURNAL = {Mathematical Programming},
   VOLUME = {34},
     YEAR = {1986},
   NUMBER = {2},
    PAGES = {235--238},
     ISSN = {0025-5610},
    CODEN = {MHPGA4},
  MRCLASS = {90C05},
 MRNUMBER = {87j:90082},
}


 
@article{BoWo:86,
author="Borwein, J.M. and Wolkowicz, H.",
    TITLE = {A simple constraint qualification in infinite-dimensional
             programming},
  JOURNAL = {Math. Programming},
 FJOURNAL = {Mathematical Programming},
   VOLUME = {35},
     YEAR = {1986},
   NUMBER = {1},
    PAGES = {83--96},
     ISSN = {0025-5610},
    CODEN = {MHPGA4},
  MRCLASS = {90C48},
 MRNUMBER = {87i:90321},
   MRREVR = {W. W. Breckner},
}



@article{gjmw3,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and 
        Wolkowicz, H.",
    TITLE = {A note on maximizing the permanent of a positive definite
             {H}ermitian matrix, given the eigenvalues},
  JOURNAL = {Linear and Multilinear Algebra},
 FJOURNAL = {Linear and Multilinear Algebra},
   VOLUME = {19},
     YEAR = {1986},
   NUMBER = {4},
    PAGES = {389--393},
     ISSN = {0308-1087},
    CODEN = {LNMLAZ},
  MRCLASS = {15A15},
 MRNUMBER = {88b:15006},
   MRREVR = {H. Minc},
}


############ YEAR 1985

@article{mw,
author="J. Merikoski and H. Wolkowicz",
    TITLE = {Improving eigenvalue bounds using extra bounds},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {68},
     YEAR = {1985},
    PAGES = {93--113},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {15A42 (65F15)},
 MRNUMBER = {87e:15038},
}



@article{lw,
author="M. Lamoureux and H. Wolkowicz",
    TITLE = {Numerical decomposition of a convex function},
  JOURNAL = {J. Optim. Theory Appl.},
 FJOURNAL = {Journal of Optimization Theory and Applications},
   VOLUME = {47},
     YEAR = {1985},
   NUMBER = {1},
    PAGES = {51--64},
     ISSN = {0022-3239},
    CODEN = {JOTABN},
  MRCLASS = {90C25 (26A51)},
 MRNUMBER = {87a:90107},
   MRREVR = {Jacques A. Ferland},
}



@article{jkw,
author="Johnson, C.R. and Kumar, R. and Wolkowicz, H.",
    TITLE = {Lower bounds for the spread of a matrix},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {71},
     YEAR = {1985},
    PAGES = {161--173},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {15A42},
 MRNUMBER = {87a:15027},
   MRREVR = {Thomas L. Markham},
}


@article{bjw,
author="Butler, G. and Johnson, C.R. and Wolkowicz, H.",
    TITLE = {Nonnegative solutions of a quadratic matrix equation
arising
             from comparison theorems in ordinary differential
equations},
  JOURNAL = {SIAM J. Algebraic Discrete Methods},
 FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
             Algebraic and Discrete Methods},
   VOLUME = {6},
     YEAR = {1985},
   NUMBER = {1},
    PAGES = {47--53},
     ISSN = {0196-5212},
    CODEN = {STAMDU},
  MRCLASS = {34C11 (15A48)},
 MRNUMBER = {86f:34072},
   MRREVR = {G. J. Etgen},
}


############ YEAR 1984

@article{smw1,
author="Smith, P.W. and Wolkowicz, H.",
    TITLE = {Dimensionality of bi-infinite systems},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {57},
     YEAR = {1984},
    PAGES = {115--130},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {15A22 (15A21 15A54 41A05)},
 MRNUMBER = {86c:15010},
}



@article{gjmw2,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
    TITLE = {Improving {H}adamard's inequality},
  JOURNAL = {Linear and Multilinear Algebra},
 FJOURNAL = {Linear and Multilinear Algebra},
   VOLUME = {16},
     YEAR = {1984},
   NUMBER = {1-4},
    PAGES = {305--322},
     ISSN = {0308-1087},
    CODEN = {LNMLAZ},
  MRCLASS = {15A42 (15A15 15A45)},
 MRNUMBER = {87b:15024},
}



@article{GrJoSaWo:84,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
    TITLE = {Positive definite completions of partial {H}ermitian
matrices},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {58},
     YEAR = {1984},
    PAGES = {109--124},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {05C50 (15A57)},
 MRNUMBER = {85d:05169},
   MRREVR = {Larry Basen{\v{s}}piler},
}



@article{Grone,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
    TITLE = {Positive definite completions of partial {H}ermitian
matrices},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {58},
     YEAR = {1984},
    PAGES = {109--124},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {05C50 (15A57)},
 MRNUMBER = {85d:05169},
   MRREVR = {Larry Basen{\v{s}}piler},
}


############ YEAR 1983

@article{msw,
author="Merikoski, J. and Styan, G.P.H. and Wolkowicz, H.",
    TITLE = {Bounds for ratios of eigenvalues using traces},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {55},
     YEAR = {1983},
    PAGES = {105--124},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {15A42 (65F15)},
 MRNUMBER = {85a:15019},
   MRREVR = {Ludwig Elsner},
}



@incollection{w5,
author ="H. Wolkowicz",
    TITLE = {Optimality conditions and shadow prices},
BOOKTITLE = {Mathematical programming with data perturbations, II
             (Washington, D.C., 1980)},
    PAGES = {49--63},
PUBLISHER = {Dekker},
  ADDRESS = {New York},
     YEAR = {1983},
  MRCLASS = {90C25},
 MRNUMBER = {85b:90056},
   MRREVR = {J. E. Spingarn},
}


@article{w4,
author="H. Wolkowicz",
    TITLE = {Method of reduction in convex programming},
  JOURNAL = {J. Optim. Theory Appl.},
 FJOURNAL = {Journal of Optimization Theory and Applications},
   VOLUME = {40},
     YEAR = {1983},
   NUMBER = {3},
    PAGES = {349--378},
     ISSN = {0022-3239},
    CODEN = {JOTABN},
  MRCLASS = {90C25},
 MRNUMBER = {85d:90077},
   MRREVR = {S. Zlobec},
}




@article{w3,
author="H. Wolkowicz",
    TITLE = {An optimality condition for a nondifferentiable convex
program},
  JOURNAL = {Naval Res. Logist. Quart.},
 FJOURNAL = {Naval Research Logistics Quarterly},
   VOLUME = {30},
     YEAR = {1983},
   NUMBER = {3},
    PAGES = {415--418},
     ISSN = {0028-1441},
    CODEN = {NRLQAR},
  MRCLASS = {90C25},
 MRNUMBER = {85a:90181},
}


############ YEAR 1982

@article{bw4,
author="Borwein, J.M. and Wolkowicz, H.",
    TITLE = {Characterizations of optimality without constraint
             qualification for the abstract convex program},
     NOTE = {Optimality and stability in mathematical programming},
  JOURNAL = {Math. Programming Stud.},
 FJOURNAL = {Mathematical Programming Study},
   volume = {19},
     YEAR = {1982},
    PAGES = {77--100},
     ISSN = {0303-3929},
    CODEN = {MPSTDF},
  MRCLASS = {90C25},
DOI = {10.1007/BFb0120983},
 MRNUMBER = {83k:90083},
  URL =
{http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/q484808423l21876/}
}


############ YEAR 1981


@article{w12,
author="H. Wolkowicz",
    TITLE = {A strengthened test for optimality},
  JOURNAL = {J. Optim. Theory Appl.},
 FJOURNAL = {Journal of Optimization Theory and Applications},
   VOLUME = {35},
     YEAR = {1981},
   NUMBER = {4},
    PAGES = {497--515},
     ISSN = {0022-3239},
    CODEN = {JOTABN},
  MRCLASS = {90C25},
 MRNUMBER = {84d:90088},
   MRREVR = {Szymon Dolecki},
}



@article{bw1,
author="Borwein, J.M. and Wolkowicz, H.",
    TITLE = {Facial reduction for a cone-convex programming problem},
  JOURNAL = {J. Austral. Math. Soc. Ser. A},
 FJOURNAL = {Australian Mathematical Society. Journal. Series A},
   VOLUME = {30},
     YEAR = {1980/81},
   NUMBER = {3},
    PAGES = {369--380},
     ISSN = {0263-6115},
    CODEN = {JAMADS},
  MRCLASS = {90C25},
 MRNUMBER = {83b:90121},
   MRREVR = {B. T. Polyak},
}



@article{bw2,
author="Borwein, J.M. and Wolkowicz, H.",
    TITLE = {Characterization of optimality for the abstract convex
program
             with finite-dimensional range},
  JOURNAL = {J. Austral. Math. Soc. Ser. A},
 FJOURNAL = {Australian Mathematical Society. Journal. Series A},
   VOLUME = {30},
     YEAR = {1980/81},
   NUMBER = {4},
    PAGES = {390--411},
     ISSN = {0263-6115},
    CODEN = {JAMADS},
  MRCLASS = {90C48},
 MRNUMBER = {83i:90156},
   MRREVR = {R. L. Graves},
}



@article{bw3,
author="Borwein, J.M. and Wolkowicz, H.",
    TITLE = {Regularizing the abstract convex program},
  JOURNAL = {J. Math. Anal. Appl.},
 FJOURNAL = {Journal of Mathematical Analysis and Applications},
   VOLUME = {83},
     YEAR = {1981},
   NUMBER = {2},
    PAGES = {495--530},
     ISSN = {0022-247X},
    CODEN = {JMANAK},
  MRCLASS = {90C48 (90C25)},
 MRNUMBER = {83d:90236},
   MRREVR = {S. Zlobec},
}



@article{w11,
author="H. Wolkowicz",
    TITLE = {Some applications of optimization in matrix theory},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {40},
     YEAR = {1981},
    PAGES = {101--118},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {90C25 (15A48 65K05 90C05)},
 MRNUMBER = {84a:90067},
}


@inproceedings{bw6,
author="J.M. Borwein and H. Wolkowicz",
title="Cone-convex programming stability and affine constraint functions",
year="1981",
booktitle="Generalized Concavity in Optimization and Economics",
publisher="Academic Press",
pages="379-397",
note="invited paper",
organization="NATO conference"
}

############ YEAR 1980


@article{w8,
author="H. Wolkowicz",
    TITLE = {Geometry of optimality conditions and constraint
             qualifications: the convex case},
  JOURNAL = {Math. Programming},
 FJOURNAL = {Mathematical Programming},
   VOLUME = {19},
     YEAR = {1980},
   NUMBER = {1},
    PAGES = {32--60},
     ISSN = {0025-5610},
    CODEN = {MHPGA4},
  MRCLASS = {90C25},
 MRNUMBER = {83b:90130},
}



@article{ws3,
author="Wolkowicz, H. and Styan, G.P.H", 
title="A history of {S}amuelson's inequality",
journal=amers,
year="1980", 
volume="34",
pages="250"
}

@article{w10,
author="H. Wolkowicz",
    TITLE = {Shadow prices for an unstable convex program},
  JOURNAL = {Utilitas Math.},
 FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied
             Mathematics, Computer Science, and Statistics},
   VOLUME = {18},
     YEAR = {1980},
    PAGES = {119--139},
     ISSN = {0315-3681},
    CODEN = {UTMADA},
  MRCLASS = {90C25},
 MRNUMBER = {82d:90100},
   MRREVR = {Roger Hartley},
}



@article{ws1,
author="Wolkowicz, H. and Styan, G.P.H",
    TITLE = {More bounds for eigenvalues using traces},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {31},
     YEAR = {1980},
    PAGES = {1--17},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {15A18 (65F15)},
 MRNUMBER = {81k:15016},
   MRREVR = {J. Segethov{\'a}},
}




@article{ws2,
author="Wolkowicz, H. and Styan, G.P.H.",
    TITLE = {Bounds for eigenvalues using traces},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {29},
     YEAR = {1980},
    PAGES = {471--506},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {15A18},
 MRNUMBER = {81k:15015},
   MRREVR = {M. Shafqat Ali},
}




@article{w2,
author="H. Wolkowicz",
    TITLE = {Convex programs with equivalent duals},
  JOURNAL = {Appl. Math. Notes},
 FJOURNAL = {Applied Mathematics Notes},
   VOLUME = {5},
     YEAR = {1980},
   NUMBER = {2},
    PAGES = {45--62},
     ISSN = {0700-9224},
  MRCLASS = {90C25},
 MRNUMBER = {81h:90121},
}


############ YEAR 1979

@article{ws4,
author="Wolkowicz, H. and Styan, G.P.H.", 
    TITLE = {Extensions of {S}amuelson's inequality},
  JOURNAL = {Amer. Statist.},
 FJOURNAL = {The American Statistician},
   VOLUME = {33},
     YEAR = {1979},
   NUMBER = {3},
    PAGES = {143--144},
     ISSN = {0003-1305},
    CODEN = {ASTAAJ},
  MRCLASS = {62G30 (60E15)},
 MRNUMBER = {80h:62038},
}


@article{w1,
author="H. Wolkowicz",
    TITLE = {Calculating the cone of directions of constancy},
  JOURNAL = {J. Optim. Theory Appl.},
   VOLUME = {25},
     YEAR = {1978},
   NUMBER = {3},
    PAGES = {451--457},
  MRCLASS = {90C25},
 MRNUMBER = {58 #25996},
}



@article{wz,
author="Wolkowicz, H. and Zlobec, S.",
    TITLE = {Calculating the best approximate solution of an operator
             equation},
  JOURNAL = {Math. Comp.},
   VOLUME = {32},
     YEAR = {1978},
   NUMBER = {144},
    PAGES = {1183--1213},
  MRCLASS = {65J05 (47A50)},
 MRNUMBER = {58 #13701},
   MRREVR = {P. M. Anselone},
}



@article{stw3,
author="Stern, R.J. and H. Wolkowicz",
    TITLE = {A note on generalized invariant cones and the {K}ronecker
             canonical form},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {147},
     YEAR = {1991},
    PAGES = {97--100},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {15A22 (15A18 15A48)},
 MRNUMBER = {92e:15018},
}



@article{stw2,
author="Stern, R.J. and Wolkowicz, H.", 
    TITLE = {Exponential nonnegativity on the ice cream cone},
  JOURNAL = {SIAM J. Matrix Anal. Appl.},
 FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
   VOLUME = {12},
     YEAR = {1991},
   NUMBER = {1},
    PAGES = {160--165},
     ISSN = {0895-4798},
    CODEN = {SJMAEL},
  MRCLASS = {15A48},
 MRNUMBER = {92j:15013},
   MRREVR = {Raphael Loewy},
}



@article{stw1,
author="Stern, R.J. and Wolkowicz, H.",
    TITLE = {Invariant ellipsoidal cones},
BOOKTITLE = {Proceedings of the First Conference of the International
Linear
             Algebra Society (Provo, UT, 1989)},
  JOURNAL = {Linear Algebra Appl.},
 FJOURNAL = {Linear Algebra and its Applications},
   VOLUME = {150},
     YEAR = {1991},
    PAGES = {81--106},
     ISSN = {0024-3795},
    CODEN = {LAAPAW},
  MRCLASS = {15A48},
 MRNUMBER = {92h:15014},
   MRREVR = {Raphael Loewy},
}








############
####    Problems and Solutions
######

%Refereed Problems and Solutions
@article{Wolk:siam94,
author="Wolkowicz, H.",
title="Problem Solution 93-17",
journal="SIAM Review",  
volume="36",
number="4",
year="1994",
pages="657-659"
}


@article{jww,
author="Johnson, C.R. and Wolkowicz, G. and Wolkowicz, H.",
title= "Elem. Prob. E. 3234",
journal=amerm,
year="1987",
volume="94",
pages="877"
}

@article{bsw,
author="Borwein, J.M. and Styan, G.P.H. and Wolkowicz, H.",
title="Some inequalities involving statistical expressions",
journal="SIAM Review",  
year="1982",
volume="24",
pages="340-342"
}

@article{w14,
author="H. Wolkowicz",
title="A constrained matrix optimization problem",
journal="SIAM Review 23",
year="1981", 
volume="101"
}



############
####    THESES
######


@phdthesis{w15,
author="H. Wolkowicz",
title="Constructive approaches to approximate solutions of 
        operator equations and convex programming",
school="McGill University",
year="1978"
}

@mastersthesis{w9,
author="H. Wolkowicz",
title= "Kantorovich's general theory of approximation methods",
school="McGill University",
year="1975",
note="M.Sc. Thesis"
}

############
####    Unpublished Research Reports... book reviews ... problems ...
######


@article{piccwolk:05,
author="Piccialli, V. and Wolkowicz, H.",
title= "Solution to Problem 34-6.1",
journal="{IMAGE}-The Bulletin of the International  
Linear Algebra Society",
year="2005",
volume="35",
pages="33-34"
}




@article{wolkieee:2006,
author="H. Wolkowicz",
 title = "Book Review of: {O}ptimization: {I}nsights and {A}pplications, by
{B}rinkhuis and {T}ikhomirov",
journal="IEEE Control Systems Magazine",
pages = "",
year="2007",
}


@techreport{AlWo:98,
         author      = "A. Alfakih and H. Wolkowicz",
         title       = "On the embeddability of weighted graphs in
{E}uclidean spaces",
         institution = "University of Waterloo",
         number  = "CORR 98-12",
         year    = "1998",
}


@techreport{Wo:00,
         author      = "A. Alfakih and H. Wolkowicz",
         title       = "A New Semidefinite Programming Model
 for Large Sparse
{E}uclidean Distance Matrix Completion Problems",
         institution = "University of Waterloo",
         number  = "CORR 2000-37",
         year    = "2000",
         address     = "Waterloo, Canada"
}


@techreport{CheungKrislWo:10,
         author      = "Cheung, Y-L. and Krislock, N.  and Wolkowicz, H.",
 title = "Facial Reduction for Compressive Sensing",
institution="University of Waterloo",
number="CORR 2010",
note = "in progress",
address="Waterloo, Ontario",
year="2010"
}


@techreport{PongWolk:12,
         author      = "T.K. Pong and H. Wolkowicz",
 title = "The generalized trust region subproblem",
institution="University of Waterloo",
address="Waterloo, Ontario",
note = "40 pages,
  URL:
{www.optimization-online.org/DB\_HTML/2012/11/3681.html}",
year="2012"
}


@techreport{AnWo:99,
author="M.F. Anjos  and H. Wolkowicz",
 title = "A STRENGTHENED {SDP} RELAXATION via a SECOND LIFTING
for the {M}AX-{C}UT PROBLEM",
institution="University of Waterloo",
number="CORR 99-55",
note = "28 pages",
address="Waterloo, Ontario",
year="1999",
}


@techreport{GrKrReWo:98,
author="G. Gruber and S. Kruk and F. Rendl  and H. Wolkowicz",
 title = "Presolving for
Semidefinite Programs Without
Constraint Qualifications",
institution="University of Waterloo",
number="CORR 98-32",
address="Waterloo, Ontario",
year="1998",
}


@techreport{AnjosHighWolk:01,
author="M.F. Anjos  and N. Krislock and M. Takouda and H. Wolkowicz",
 title = "A semidefinite programming approach for the closest
correlation matrix problem",
institution="University of Waterloo",
number="in progress",
address="Waterloo, Ontario",
year="2009",
}


@techreport{KrislockRendlWolk:10,
         author      = "Krislock, N. and Rendl, F. and Wolkowicz, H.",
 title = "Noisy Sensor Network Localization
 using Semidefinite Representations and Facial Reduction",
institution="University of Waterloo",
number="CORR 2010-01, in progress",
address="Waterloo, Ontario",
year="2010"
}


@article {MR2295140forward,
    AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
     TITLE = {Foreword: special issue on large-scale nonlinear and
              semidefinite programming},
   JOURNAL = {Math. Program.},
  FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
              Programming Society},
    VOLUME = {109},
      YEAR = {2007},
    NUMBER = {2-3, Ser. B},
     PAGES = {207-209},
      ISSN = {0025-5610},
   MRCLASS = {90-06 (90C06 90C32)},
  MRNUMBER = {MR2295140},
}


@techreport{hw,
author="Hadley, S.W. and Wolkowicz, H.",
title="The {H}essian of a function of the eigenvalues",
institution="University of Waterloo",
year="1988",
type="Unpublished Research Report"
}


@techreport{wb2,
author="Wolkowicz, H. and Ben-Israel, A.",
title="Taking advantage of degeneracy in linear programming",
institution="University of Waterloo",
year="1986", 
type="Unpublished Research Report",
number="CORR 86-23"
}
@techreport{wb1,
author="Wolkowicz, H. and Ben-Israel, A.",
title="A volume and constraint reducing algorithm for linear programming",
institution="University of Waterloo",
year="1986",
type="Unpublished Research Report",
number="CORR 86-29"
}

@techreport{h9,
author="H. Wolkowicz",
title="Generating eigenvalue bounds using optimization",
institution="University of Waterloo", 
year="1985",
type="Unpublished Research Report"
} 

@techreport{scw,
author="Schoettle, C. and Wolkowicz, H.",
title="The teaching assignment problem", 
institution="Emory University",
year="1985",
type="Unpublished Research Report"
}

@techreport{gjmw5,
author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz,
H.",
title="Constrained ranges of sesquilinear forms",
institution="University of Waterloo",
year="1983",
type="Unpublished Research Report"
}
  
@techreport{w7,
author="H. Wolkowicz",
title="Bounds for the {K}antorovich ratio",
institution="The University of Alberta",
year="1981",
type="Unpublished Research Report"
} 

@techreport{maw,
author="H. Massam and H. Wolkowicz",
title=	"Regularization and convex approximation",
institution=" The University of Alberta",
year="1981",
type="Unpublished Research Report"
}

@techreport{w6,
author="H. Wolkowicz",
title="Optimality and the cone of affine directions",
institution=" The University of Alberta",
year="1980",
type="Unpublished Research Report"
}


%Other:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%Research Reports and Preface and Book Reviews etc...%%%%%%%%%%%%%%%%%


@techreport{FortinWolk:01,
         author      = "C. Fortin and  H. Wolkowicz",
   title = "A Survey of the Trust Region Subproblem Within a
Semidefinite Programming Framework",
         institution = "University of Waterloo",
         number  = "CORR 2002-22",
         year    = "2002",
note="URL:http://orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#surveytrs",
         address     = "Waterloo, Canada"
}


@techreport{AlWolk:02,
         author      = "A. Alfakih and H. Wolkowicz",
 title = "{E}uclidean Distance Matrices  and the 
          Molecular Conformation Problem",
institution="University of Waterloo",
number="17",
address="Waterloo, Ontario",
year="2002"
}


@techreport{Wolk:02,
         author      = "H. Wolkowicz",
 title = "Semidefinite Programming",
institution="University of Waterloo",
number="4",
address="Waterloo, Ontario",
year="2002"
}


@techreport{ReSoWo:02,
         author      = "F. Rendl and R. Sotirov  and H. Wolkowicz",
         title       = "A Note on a Simplified {HKM} Direction
        for Special Classes of {SDP}",
         institution = "University of Waterloo",
         number  = "CORR Report 2002-16",
         year    = "2002",
         address     = "Waterloo, Canada"
}


@techreport{KrPiWo:06,
         author      = "Krislock, N. and Piccialli, V. and H. Wolkowicz",
 title = "Robust Semidefinite Programming Approaches for
Sensor Network Localization with Anchors",
institution="University of Waterloo",
number="CORR 2006-12",
note="URL:orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#sensorKPW",
address="Waterloo, Ontario",
year="2006"
}


@article {MR2295140,
    AUTHOR = {
E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and
S. Zhang },
     TITLE = {Foreword: special issue on large-scale nonlinear and
              semidefinite programming},
   JOURNAL = {Math. Program.},
  FJOURNAL = {Mathematical Programming. A Publication of the
Mathematical
              Programming Society},
    VOLUME = {109},
      YEAR = {2007},
    NUMBER = {2-3, Ser. B},
     PAGES = {207-209},
      ISSN = {0025-5610},
   MRCLASS = {90-06 (90C06 90C32)},
  MRNUMBER = {MR2295140},
}


@article {MR2290680,
    AUTHOR = {
R. Bhatia and  R. Guralnick and  S. Kirkland and 
              H. Wolkowicz},
     TITLE = {Preface to the 12th {ILAS} {C}onference {P}roceedings,
              {R}egina 2005},
      NOTE = {Held in Regina, SK, June 26--29, 2005},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {421},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {1--2},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {15-06},
  MRNUMBER = {MR2290680},
}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Graduate Students Theses:



@phdthesis{krislock:2010,
author="N. Krislock",
title="Semidefinite Facial Reduction for Low-Rank Euclidean Distance
Matrix Completion",
school="University of Waterloo", 
year="2010"
}



@phdthesis{wei:2005,
author="H. Wei",
title="Numerical Stability in
Linear Programming and Semidefinite Programming",
school="University of Waterloo", 
year="2006"
}


@phdthesis{MarinaThesis,
author="M. Potaptchik",
title="Portfolio Selection Under Nonsmooth Convex
Transaction Costs",
school="University of Waterloo", 
year="2006"
}



@phdthesis{Kruk:01,
author="S. Kruk",
title="High Accuracy Algorithms for the Solutions of Semidefinite
  Linear Programs",
school="University of Waterloo",
year="2001"
}


@mastersthesis{Oleg:04,
author="O. Grodzevich",
title="Regularization Using a Parameterized Trust Region Subproblem",
school="University of Waterloo",
year="2004"
}


@mastersthesis{Yichuan:07,
author="Y. Ding",
title="On Efficient Semidefinite Relaxations for Quadratically
Constrained Quadratic Programming",
school="University of Waterloo",
year="2007"
}


@mastersthesis{Danielc:10,
author="X. Cui",
title="Computing the Nearest Correlation Matrix using Difference Map
Method",
school="University of Waterloo",
year="2010"
}


@mastersthesis{Fortin:00,
author="C. Fortin",
title="A Survey of the Trust Region Subproblem within a Semidefinite
Framework",
school="University of Waterloo",
year="2000"
}


@mastersthesis{Froh:03,
author="M. Froh",
title="Trust Region Subproblems and Linear Least-Squares
Regularization",
school="University of Waterloo",
year="2003"
}




@mastersthesis{Kruk:96,
author="S. Kruk",
title="Semidefinite Programming Applied to Nonlinear Programming",
school="University of Waterloo",
year="1996"
}
@phdthesis{zhao:96,
author="Q. Zhao",
title="Semidefinite Programming for Assignment and Partitioning Problems",
school="University of Waterloo", 
year="1996"
}


@phdthesis{Anjosthesis,
author="M.F. Anjos",
title="New Convex Relaxations for the Maximum Cut and VLSI Layout
Problems",
school="University of Waterloo", 
year="2001"
}


@mastersthesis{qz,
author="Q. Zhao",
title="Measures for Least Change Secant Methods", 
school="University of Waterloo",
year="1993",
}



@mastersthesis{schaecke:04,
author="K. Schaecke",
title="Essay on: The {K}ronecker Product",
school="University of Waterloo",
year="2004",
}


@mastersthesis{skarisch:92,
author="S.E. Karisch",
title="Trust Regions and the Quadratic Assignment Problem", 
school="University of Waterloo",
year="1992"
}

@phdthesis{hadley:89,
author="S.W. Hadley",
title="Continuous Optimization Approaches to the Quadratic Assignment Problem", 
school="University of Waterloo", 
year="1989"
}


@mastersthesis{lund:88,
author="J. Lund",
title="Optimal Vehicle Replacement Policy", 
school="University of Waterloo",
year="1988"
}


@mastersthesis{stephan:85,
author="P. Stephan",
title="An Explicit Solution to the Quadratic Dynamic Programming Problem",
school="Emory University",
year="1985"
}


@mastersthesis{schoettle:85,
author="C. Schoettle",
title="The Teaching Assignment Problem",
school="Emory University",
year="1985"
}

@mastersthesis{kumar:84,
author="R. Kumar",
title="Bounds for Eigenvalues",
school="University of Alberta",
year="1984" 
}