# The file .psdpriv.bib contains papers related to SDP. # PLEASE do NOT use the file .psdpriv.bib in the latex bibl. line in latex file. # The bib entries are combined with those in .publs.bib in .psd.bib # Use the .psd.bib file and NOT .psdpriv.bib or .publs.bib # This file is also available at: # The Collection of Computer Science Bibliographies # at URL http://liinwww.ira.uka.de/bibliography/index.html # as part of: Bibliographies on Mathematics # Bibliography on Semidefinite Programming # with URL http://liinwww.ira.uka.de/bibliography/Math/psd.html ### IMPORTANT NOTE!!! The 'string' definitions for journals is given ### in the file .master.bib. #### This is also available as the #### Bibliography on optimization and matrix theory #### with URL http://liinwww.ira.uka.de/bibliography/Math/optimization.html ########### ### If you are now using another file other than .master.bib ##### (e.g. .psd.bib) then you should include .master.bib FIRST #### in the \bibliography line, i.e. \bibliography{.master,....} ### ANOTHER IMPORTANT NOTE!!! The last entries are my publications. ## These are included since many are related to SDP. ##### # author: Henry Wolkowicz (University of Waterloo) # personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi # this file has URL: # http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/psd.bib.gz # This file does not contain my personal publications which are in # the file with URL: # http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz # # # keywords from Stewart's bibfile # cs : computer science # csd : CS decomposition # eig : eigenvalue problems # eriv : errors in variables # geig : generalized eigenvalue problems # ginv : generalized inverse # gsvd : generalized singular value decomposition # iter : iterative methods # la : linear algebra # lsq : least squares # math : mathematics # lud : LU decomposition # na : numerical analysis # nla : numerical linear algebra # nlop : nonlinear equations and optimization # prll : parallel computations # pert : perturbation theory # qrd : QR decomposition # regr : regression # stat : statistics # svd : singular value decomposition # New keywords # sdp : semidefinite programming # coneprog : cone programming # trg : trust regions # cdtprob : Celis-Dennis-Tapia two trust regions problem # qap : quadratic assignment problem # lsopt : large scale optimization # ilp : integer linear programming # ipg : interior point algorithms # qp : quadratic programming ################################### ################################## ### the strings (abbr. of journals) are found at start of master.bib file ### Therefore bibliography line must start with master #### You can also find them in the file called .strings.bib ################################### ################################### ########################end of string definitions######### ####################################### %AAAAAAAAAAAA @mastersthesis {Aarts:99, author = "L. AARTS", title = "Primal-Dual Search Directions in Semidefinite Optimization", school = "Delft University of Technology", year = "1999"} @article {MR98d:90100, AUTHOR = {El Abdouni, B. and Thibault, L.}, TITLE = {Optimality conditions for problems with set-valued objectives}, JOURNAL = {J. Appl. Anal.}, FJOURNAL = {Journal of Applied Analysis}, VOLUME = {2}, YEAR = {1996}, NUMBER = {2}, PAGES = {183--201}, ISSN = {1425-6908}, MRCLASS = {90C29 (49J52)}, MRNUMBER = {98d:90100}, MRREVIEWER = {Tetsuzo Tanino}, } @TECHREPORT {AdlerAliz:95, author = "I. ADLER and F. Alizadeh", title = "Primal-dual interior point algorithms for convex quadratically constrained and semidefinite optimization problems", year = "1995", institution = "Rutcor, Rutgers University", address = " New Brunswick, NJ" } @article{AdlerMonteiro, author = {I. ADLER and R.D.C. Monteiro}, title = {A geometric view of parametric linear programming}, journal = {Algorithmica}, volume = 8, pages = {161-176}, year = 1992} @article {AgHeMc:88, author = "J. AGLER and J.W. HELTON and S. McCULLOUGH", title = "Positive semidefinite matrices with a given sparsity pattern", journal = laa, year = "1988", volume = "107", number = "3", pages = "101-149" } @article{214841, author = {Alpert, C.J. and Kahng, A.B.}, title = {Recent directions in netlist partitioning: a survey}, journal = {Integr. VLSI J.}, volume = {19}, number = {1-2}, year = {1995}, issn = {0167-9260}, pages = {1--81}, doi = {http://dx.doi.org/10.1016/0167-9260(95)00008-4}, publisher = {Elsevier Science Publishers B. V.}, address = {Amsterdam, The Netherlands, The Netherlands}, } @PHDTHESIS {Alhom:93, author = "S. Al-Homidan", title = "Hybrid methods for optimization problems with positive semidefinite matrix constraints", school = "University of Dundee", year = "1993"} @techreport {homidan:03, author = "M.M. ALSHAHRANI and S. AL-HOMIDAN", title = "New Formulations of the Hankel Matrix Approximation Problem", institution = "King Fahd University of Petroleum \& Minerals", address = "Dhahran, Saudia Arabia", year = "2003" } @techreport {ZhouLiWrightCandesMa:10, author = "Z. Zhou and X. Li and J. Wright and E. Candes and Y. Ma", title = "Stable principal component pursuit", institution = "UIUC", address = "Urbana, IL", year = "2010" } @article {homidan:06, author = "S. AL-HOMIDAN and R. FLETCHER", title = "Rationalizing Foot and Ankle Measurements to Conform to a Rigid Body Model", journal = "Computer Methods in Biomechanics and Biomedical", volume = "9", number = "2", pages = "103-111", year = "2006" } @book {MR3887551, AUTHOR = {Alfakih, Abdo Y.}, TITLE = {Euclidean distance matrices and their applications in rigidity theory}, PUBLISHER = {Springer, Cham}, YEAR = {2018}, PAGES = {xiv+251}, ISBN = {978-3-319-97845-1; 978-3-319-97846-8}, MRCLASS = {15-02 (15A18 15B57 52C25)}, MRNUMBER = {3887551}, MRREVIEWER = {Ravindra B. Bapat}, DOI = {10.1007/978-3-319-97846-8}, URL = {https://doi.org/10.1007/978-3-319-97846-8}, } @article {Alfak:00, author = "A. Alfakih", title = "Graph rigidity via {E}uclidean distance matrices", journal = laa, year = "2000", pages = "49-165", number = "1-3", volume = "310", } @PHDTHESIS {Al:91, author = "F. Alizadeh", title = "Combinatorial optimization with interior point methods and semidefinite matrices", school = "University of Minnesota", year = "1991"} @INCOLLECTION {Al:92, author = "F. Alizadeh", title = "Optimization Over Positive Semi-Definite Cone; Interior-Point Methods and Combinatorial Applications", booktitle = "Advances in Optimization and Parallel Computing", publisher = "North--Holland", year = "1992", editor = "P.M. Pardalos", pages = "1-25", } @techreport {Alizadehnotes:00, author = "F. Alizadeh", title = "Lecture Notes on semidefinite programming", institution = "Rutgers University", address = " Piscataway, NJ", note = "URL: karush.rutgers.edu/\~{ }alizadeh/", year = "2000" } @article {Al:94, author = "F. Alizadeh", title = "Interior point methods in semidefinite programming with applications to combinatorial optimization", journal = siopt, volume="5", pages = "13-51", year = "1995"} @INPROCEEDINGS {Aliz:92, author = "F. Alizadeh", title = "Combinatorial optimization with semidefinite matrices", year = "1992", booktitle = "Proceedings of the Second Annual Integer Programming and Combinatorial Optimization Conference", address = "Carnegie-Mellon University"} @article {MR1971381, author = {Alizadeh, F. and Goldfarb, D.}, TITLE = {Second-order cone programming}, NOTE = {ISMP 2000, Part 3 (Atlanta, GA)}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {95}, YEAR = {2003}, NUMBER = {1, Ser. B}, PAGES = {3--51}, ISSN = {0025-5610}, MRCLASS = {90C08 (90C25)}, MRNUMBER = {MR1971381 (2004j:90060)}, } @article {MR3097290, AUTHOR = {Goldfarb, D. and Ma, S. and Scheinberg, K.}, TITLE = {Fast alternating linearization methods for minimizing the sum of two convex functions}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {141}, YEAR = {2013}, NUMBER = {1-2, Ser. A}, PAGES = {349--382}, ISSN = {0025-5610}, MRCLASS = {65K10 (68Q25 90C25)}, MRNUMBER = {3097290}, MRREVIEWER = {Letizia Pellegrini}, DOI = {10.1007/s10107-012-0530-2}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-012-0530-2}, } @article {Ma11, author = {S. Ma and D. Goldfarb and L. Chen}, TITLE = {Fixed point and {B}regman iterative methods for matrix rank minimization}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {128}, YEAR = {2011}, NUMBER = {1-2}, PAGES = {3-21-353}, } @INPROCEEDINGS {MobTahSotKhan:05, author = "A. MOBASHER and M. TAHERZADEH and R. Sotirov and A.K. KHANDANI", title = "An efficient quasi-maximum likelihood decoding for finite constellations", year = "2005", booktitle = "Conference on Information Sciences and Systems (CISS)", address = ""} @TECHREPORT {Alizadeh:92, author = "F. Alizadeh", title = "Semidefinite programming: duality theory, eigenvalue optimization and combinatorial applications", year = "1992", institution = "Stanford University", note = " Presented at the Fourth SIAM Conference on Optimization, 1992" } @inproceedings {AlHaOv:94, author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton", title = "A new primal-dual interior-point method for semidefinite programming", booktitle="Proceedings of the Fifth SIAM Conference on Applied Linear Algebra", editor = "J.G. Lewis", year = "1994", publisher = "SIAM", pages = "113-117", institution = "Courant Institute of Mathematical Sciences", keywords = "sdp; semidefinite programming" } @article {AlHaOv:95, author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton", title = "Complementarity and nondegeneracy in semidefinite programming", institution = "Courant Institute of Mathematical Sciences", keywords = "sdp; semidefinite programming", journal = mprog, year = "1997", volume = "77", pages = "111-128" } @TechReport{AHNOS97, author = {F.~Alizadeh and J.--P.~Haeberly and M.V.~NAYAKKANKUPPAM and M.L.~Overton and S.H. SCHMIETA}, title = {{SDP}pack User's Guide -- Version 0.9 {B}eta}, institution = {Courant Institute of Mathematical Sciences, NYU}, year = 1997, number = {TR1997--737}, address = {New York, NY}, month = {June} } @TechReport{ASch:98, author = {F.~Alizadeh and S.H. SCHMIETA}, title = {Optimization with Semidefinite, Quadratic and Linear Constraints}, institution = {RUTCOR, Rutgers University}, year = 1997, number = {RRR23--97}, address = {New Brunswick, NJ}, month = {November} } @TechReport{AlkireVanden:00, author = {B. ALKIRE and L. Vandenberghe}, title = {Handling Nonnegative Constraints in Spectral Estimation}, institution = {Electrical Engineering Department, UCLA}, year = {2000}, address = {Los Angeles, CA}, month = {October} } @article {VandenbergeAndersen:15, AUTHOR = {L. Vandenberghe and M.S. Andersen}, TITLE = {Chordal Graphs and Semidefinite Optimization}, JOURNAL = {Found. Trends Opt.}, FJOURNAL = {Foundations and Trends\textsuperscript{\tiny\textregistered} in Optimization}, VOLUME = {1}, YEAR = {2015}, NUMBER = {4}, PAGES = {241--433}, URL = {http://dx.doi.org/10.1561/2400000006} } @TechReport{AlkireVanden:01, author = {B. ALKIRE and L. Vandenberghe}, title = {Convex optimization problems involving finite autocorrelation sequences}, institution = {Electrical Engineering Department, UCLA}, year = {2001}, address = {Los Angeles, CA}, month = {January} } @article {An, author = "T. ANDO", title = "Concavity of certain maps and positive definite matrices and applications to {H}adamard products", journal = laa, year = "1979", volume = "26", pages = "203-241" } @article {Ando:04, author = "T. ANDO", title = "Cones and norms in the tensor product of matrix spaces", journal = laa, year = "2004", volume = "379", pages = "3-41" } @article {MR95k:15023, AUTHOR = {ANDO, T. and HIAI, F.}, TITLE = {Inequality between powers of positive semidefinite matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {208/209}, YEAR = {1994}, PAGES = {65--71}, ISSN = {0024-3795}, CODEN = {LAAPAW}, } @book {AnjosLasserre:11, editor = "A.F. Anjos and J.B. Lasserre", series="International Series in Operations Research \& Management Science", vol ="166", PAGES = {962 p.}, Publisher="Springer-Verlag", booktitle ="Handbook on Semidefinite, Conic and Polynomial Optimization", title ="Handbook on Semidefinite, Conic and Polynomial Optimization", ISBN = {978-1-4614-0768-3}, URL = {http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-0768-3}, year="2011" } @incollection{Mittelmann:11, author = "H.D. Mittelmann", title = "The State-of-the-Art in Conic Optimization Software", number="2009-06", series="International Series in Operations Research \& Management Science", vol ="166", PAGES = {671--686}, Publisher="Springer-Verlag", booktitle ="Handbook on Semidefinite, Cone and Polynomial Optimization", ISBN = {978-1-4614-0768-3}, URL = {http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-0768-3}, year="2011" } @incollection{Engau:11, author = "A Engau", title = "Recent progress in interior-point methods: cutting-plane algorithms and warm starts", number="2009-06", series="International Series in Operations Research \& Management Science", vol ="166", PAGES = {471--498}, Publisher="Springer-Verlag", booktitle ="Handbook on Semidefinite, Cone and Polynomial Optimization", ISBN = {978-1-4614-0768-3}, URL = {http://www.springer.com/business+%26+management/operations+research/book/978-1-4614-0768-3}, year="2011" } @article {ArbenzDrmac:02, AUTHOR = {P. ARBENZ and Z. DRMAC}, TITLE = {On Positive Semidefinite Matrices with Known Null Space}, JOURNAL = simax, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {24}, YEAR = {2002}, PAGES = {132--149}, number={1}, } @techreport {ArmandGilbertJan:01, author = "P. ARMAND and J.C. GILBERT and S. JAN", title = "A {BFGS-IP} algorithm for solving strongly convex optimization problems with feasibility enforced by an exact penalty approach ", institution = "INRIA Rocquencourt", address = "BP 105, 78153 Le Chesnay Cedex (France)", year = "2000", eprint ="www.optimization-online.org/DB_HTML/2001/02/267.html", } @misc{bernstein2020typical, title={Typical ranks in symmetric matrix completion}, author={D.I. Bernstein and G. Blekherman and K. Lee}, year={2020}, eprint={1909.06593}, archivePrefix={arXiv}, primaryClass={math.CO} } @techreport{tanigawa, author = "S. Tanigawa", title = "Singularity degree of the positive semidefinite matrix completion problem", number ="arXiv:1603.09586", institution = "Research Institute for Mathematical Sciences, Kyoto University", address = "Sakyo-ku, Kyoto 606-8502, Japan", year = "2016", } @techreport {Aspremont:05, author = "A. d'ASPREMONT", title = "Smooth Optimization for Sparse Semidefinite Programs", institution = "ORFE Dept., Princeton University", address = "Princeton, NJ", year = "2005", eprint ="arxiv.org/abs/math/0512344" } @BOOK{am77, AUTHOR= "L. AUSLANDER AND R. E. MACKENZIE", TITLE = "Introduction to Differentiable Manifolds", PUBLISHER = "Dover Publications, New York", YEAR =1977 } @BOOK{austeb:03, AUTHOR= "A. AUSLANDER AND M. TEBOULLE", TITLE = {Asymptotic cones and functions in optimization and variational inequalities}, SERIES = {Springer Monographs in Mathematics}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {2003}, PAGES = {xii+249}, ISBN = {0-387-95520-8}, MRCLASS = {49-02 (49J53 49K40 90C46)}, MRNUMBER = {MR1931309 (2003i:49002)}, MRREVIEWER = {Constantin Z{\u{a}}linescu}, } @ARTICLE{asro78, AUTHOR ="L. ASIMOW AND B. ROTH", TITLE ="The rigidity of graphs", JOURNAL="Trans. Amer. Math. soc.", VOLUME=245 , PAGES ={279--289} , YEAR=1978 } @InProceedings{NO96a, author = {M.V.~NAYAKKANKUPPAM and M.L.~Overton}, title = {Primal--dual interior--point methods for semidefinite programming}, booktitle = {Proceedings of the IEEE International Symposium on Computer--Aided Control System Design}, year = 1996, organization = {IEEE Control Systems Society}, month = {September}, pages = {235--239} } @TechReport{NO97a, author = {M.V.~NAYAKKANKUPPAM and M.L.~Overton}, title = {Conditioning of semidefinite programs}, institution = {Courant Institute of Mathematical Sciences, NYU}, year = 1997, address = {New York, NY}, month = {March}, } @article {MR2000f:90046, author = {M.V.~NAYAKKANKUPPAM and M.L.~Overton}, TITLE = {Conditioning of semidefinite programs}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {85}, YEAR = {1999}, NUMBER = {3, Ser. A}, PAGES = {525--540}, ISSN = {0025-5610}, MRCLASS = {90C22 (90C31)}, MRNUMBER = {2000f:90046}, MRREVIEWER = {Levent Tun{\c{c}}el}, } @book {MR2724357, AUTHOR = {Tun{\c{c}}el, L.}, TITLE = {Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization}, SERIES = {Fields Institute Monographs}, VOLUME = {27}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {2010}, } @article {MR1928943, AUTHOR = {Andersen, E.D. and Roos, C. and Terlaky, T.}, TITLE = {Notes on duality in second order and {$p$}-order cone optimization}, JOURNAL = {Optimization}, FJOURNAL = {Optimization. A Journal of Mathematical Programming and Operations Research}, VOLUME = {51}, YEAR = {2002}, NUMBER = {4}, PAGES = {627--643}, ISSN = {0233-1934}, MRCLASS = {90C46 (90C08)}, MRNUMBER = {MR1928943 (2003j:90074)}, MRREVIEWER = {Carla Durazzi}, DOI = {10.1080/0233193021000030751}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/0233193021000030751}, } @article {AnOl:78, author = "T.W. ANDERSON and I. OLKIN", title = "An extremal problem for positive definite matrices", journal = lama, year = "1978", volume = "6", pages = "257-262" } @techreport {Ans:98, author = "K.M. Anstreicher", title = "On the equivalence of convex programming bounds for {B}oolean quadratic programming", institution = "University of Iowa", address = " Iowa City, IA", year = "1998" } @article {MR2004391, AUTHOR = {Anstreicher, K.M.}, TITLE = {Recent advances in the solution of quadratic assignment problems}, NOTE = {ISMP, 2003 (Copenhagen)}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {97}, YEAR = {2003}, NUMBER = {1-2, Ser. B}, PAGES = {27--42}, ISSN = {0025-5610}, MRCLASS = {90C27 (90C20)}, MRNUMBER = {MR2004391 (2005m:90094)}, } @article {Ans:99, author = "K.M. Anstreicher", TITLE = {Eigenvalue bounds versus semidefinite relaxations for the quadratic assignment problem}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {11}, YEAR = {2000}, NUMBER = {1}, PAGES = {254--265 (electronic)}, ISSN = {1052-6234}, MRCLASS = {90C27 (90C22)}, MRNUMBER = {MR1785650 (2001i:90066)}, MRREVIEWER = {Marcos Raydan}, } @article {AnsBrix:99, AUTHOR = {Anstreicher, K.M. and Brixius, N.W.}, TITLE = {A new bound for the quadratic assignment problem based on convex quadratic programming}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {89}, YEAR = {2001}, NUMBER = {3, Ser. A}, PAGES = {341--357}, ISSN = {0025-5610}, MRCLASS = {90C20 (90C27)}, MRNUMBER = {2001j:90057}, MRREVIEWER = {Marcos Raydan}, } @article {BrixiusAnstr:01, AUTHOR = {Brixius, N.W. and Anstreicher, K.M.}, TITLE = {Solving quadratic assignment problems using convex quadratic programming relaxations}, NOTE = {Dedicated to Professor Laurence C. W. Dixon on the occasion of his 65th birthday}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods and Software}, VOLUME = {16}, YEAR = {2001}, NUMBER = {1-4}, PAGES = {49--68}, ISSN = {1055-6788}, CODEN = {OMSOE2}, MRCLASS = {90C27 (90C20)}, MRNUMBER = {1869974 (2002h:90056)}, DOI = {10.1080/10556780108805828}, URL = {http://dx.doi.org/10.1080/10556780108805828}, } @article {AnsBrixGouLind:04, AUTHOR = {Anstreicher, K.M. and Brixius, N.W. and GOUX, J.-P. and LINDEROTH, J.}, TITLE = {Solving large quadratic assignment problems on computational grids}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {91}, YEAR = {2002}, NUMBER = {3, Ser. A}, PAGES = {563--588}, ISSN = {0025-5610} } @article {AnstVial:94, author = "K.M. Anstreicher and J.-P. VIAL", title = "On the convergence of an infeasible primal-dual interior-point method for convex programming", journal = oms, year = "1994", volume = "3", pages = "273-283" } %BBBBBBBBBBBBBBBBBBBBBBBB @inproceedings {Bachoc10, AUTHOR = {C. Bachoc}, TITLE = {Applications of semidefinite programming to coding theory}, BOOKTITLE = {Proceedings of {ITW}}, PAGES = {}, PUBLISHER = {IEEE Xplore}, ADDRESS = {Dublin}, YEAR = {2010}, } @article{BS09, author = "Bonnabel, Silv\`ere and Sepulchre, Rodolphe", title = "Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank ", journal = "SIAM. J. Matrix Anal. \& Appl.", number = "3", volume = "31", pages = "1055--1070", month = "August", year = "2009", url = "http://www.montefiore.ulg.ac.be/services/stochastic/pubs/2009/BS09" } @incollection {MR1450160, AUTHOR = {BA{\v{C}}{\'I}K, R. and MAHAJAN, S.}, TITLE = {Semidefinite programming and its applications to {N}{P} problems}, BOOKTITLE = {Computing and combinatorics (Xi'an, 1995)}, PAGES = {566--575}, SERIES = {Lecture Notes in Comput. Sci.}, VOLUME = {959}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1995}, } @techreport {UdellHornZadehBoyd:16, AUTHOR = {Udell, M. and Horn, C. and Zadeh, R. and Boyd, S.}, title = "Generalized low rank models", institution = "Standford University", note = "to appear in Foundations and Trends in Machine Learning", year = "2016" } @inproceedings {fazelhindiboyd:01, AUTHOR = {M. Fazel and H. Hindi and S.P. Boyd}, TITLE = {A rank minimization heuristic with application to minimum order system approximation}, BOOKTITLE = {Proceedings American Control Conference}, PAGES = {4734-4739}, PUBLISHER = {}, ADDRESS = {}, YEAR = {2001}, } @article{FaHiBo:03, AUTHOR = {M. Fazel and H. Hindi and S.P. Boyd}, Journal = {American Control Conference, 2003. Proceedings of the 2003}, Month = {June}, Pages = {2156-2162}, Title = {Log-det heuristic for matrix rank minimization with applications to {H}ankel and {E}uclidean distance matrices}, Volume = {3}, Year = {2003}} @article {MR95j:65043, AUTHOR = {Balakrishnan, V. and Boyd, S.}, TITLE = {Existence and uniqueness of optimal matrix scalings}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {16}, YEAR = {1995}, NUMBER = {1}, PAGES = {29--39}, ISSN = {0895-4798}, CODEN = {SJMAEL}, MRCLASS = {65F35 (15A12 15A60)}, MRNUMBER = {95j:65043}, MRREVIEWER = {A. Barraud}, } @book{BaF:96, editor ={V. 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Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {35}, YEAR = {1998}, NUMBER = {5}, PAGES = {1969--1994 (electronic)}, ISSN = {1095-7170}, MRCLASS = {65F15}, MRNUMBER = {2000d:65058}, MRREVR = {Chun-Hua Guo}, } @article {MR2000d:15007, AUTHOR = {Hryniv, R. and Lancaster, P.}, TITLE = {On the perturbation of analytic matrix functions}, JOURNAL = {Integral Equations Operator Theory}, FJOURNAL = {Integral Equations and Operator Theory}, VOLUME = {34}, YEAR = {1999}, NUMBER = {3}, PAGES = {325--338}, ISSN = {0378-620X}, MRCLASS = {15A18 (47A55 47A56)}, MRNUMBER = {2000d:15007}, MRREVR = {Jiu Ding}, } @article {MR99m:90138, AUTHOR = {Ding, Jiu}, TITLE = {Perturbation bounds for least squares problems with equality constraints}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {229}, YEAR = {1999}, NUMBER = {2}, PAGES = {631--638}, ISSN = {0022-247X}, CODEN = {JMANAK}, MRCLASS = {90C31 (15A18 65F20)}, MRNUMBER = {99m:90138}, MRREVR = {Mu Sheng Wei}, } @article {MR99k:65034, AUTHOR = {Li, Ren-Cang}, TITLE = {Relative perturbation theory. {I}{I}. {E}igenspace and singular subspace variations}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {20}, YEAR = {1999}, NUMBER = {2}, PAGES = {471--492 (electronic)}, ISSN = {1095-7162}, MRCLASS = {65F15 (15A18 15A42 65F35)}, MRNUMBER = {99k:65034}, MRREVR = {Ilse C. F. Ipsen}, } @Article{Ito2018, author="Ito, N. and Kim, S. and Kojima, M. and Takeda, A. and Toh, K.-C.", title="Equivalences and differences in conic relaxations of combinatorial quadratic optimization problems", journal="Journal of Global Optimization", year="2018", month="Jun", day="18", abstract="Various conic relaxations of quadratic optimization problems in nonnegative variables for combinatorial optimization problems, such as the binary integer quadratic problem, quadratic assignment problem (QAP), and maximum stable set problem have been proposed over the years. The binary and complementarity conditions of the combinatorial optimization problems can be expressed in several ways, each of which results in different conic relaxations. For the completely positive, doubly nonnegative and semidefinite relaxations of the combinatorial optimization problems, we discuss the equivalences and differences among the relaxations by investigating the feasible regions obtained from different representations of the combinatorial condition which we propose as a generalization of the binary and complementarity condition. We also study theoretically the issue of the primal and dual nondegeneracy, the existence of an interior solution and the size of the relaxations, as a result of different representations of the combinatorial condition. These characteristics of the conic relaxations affect the numerical efficiency and stability of the solver used to solve them. We illustrate the theoretical results with numerical experiments on QAP instances solved by SDPT3, SDPNAL+ and the bisection and projection method.", issn="1573-2916", doi="10.1007/s10898-018-0676-4", url="https://doi.org/10.1007/s10898-018-0676-4" } @article {MR2496424, AUTHOR = {Iusem, A. and Seeger, A.}, TITLE = {Searching for critical angles in a convex cone}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {120}, YEAR = {2009}, NUMBER = {1, Ser. B}, PAGES = {3--25}, ISSN = {0025-5610}, MRCLASS = {52A40 (90C26)}, MRNUMBER = {MR2496424}, DOI = {10.1007/s10107-007-0146-0}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-007-0146-0}, } JJJJJJJJJJJJJJJJJJJ @article {MR3928442, AUTHOR = {Jargalsaikhan, B. and R\"{u}ckmann, J.J.}, TITLE = {A note on strict complementarity for the doubly non-negative cone}, JOURNAL = {Optimization}, FJOURNAL = {Optimization. A Journal of Mathematical Programming and Operations Research}, VOLUME = {68}, YEAR = {2019}, NUMBER = {2-3}, PAGES = {457--464}, ISSN = {0233-1934}, MRCLASS = {90C22 (52A20 65K05 90C25 90C33)}, MRNUMBER = {3928442}, DOI = {10.1080/02331934.2018.1477943}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/02331934.2018.1477943}, } @incollection {MR2932722, AUTHOR = {Jain, R. and Yao, P.}, TITLE = {A parallel approximation algorithm for positive semidefinite programming}, BOOKTITLE = {2011 {IEEE} 52nd {A}nnual {S}ymposium on {F}oundations of {C}omputer {S}cience---{FOCS} 2011}, PAGES = {463--471}, PUBLISHER = {IEEE Computer Soc., Los Alamitos, CA}, YEAR = {2011}, MRCLASS = {90C22 (68W10 68W25)}, MRNUMBER = {2932722}, DOI = {10.1109/FOCS.2011.25}, URL = {http://dx.doi.org/10.1109/FOCS.2011.25}, } @inproceedings{JansenRoosTerlaky, author = {B. JANSEN and K. Roos and T. 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WIGNER", title = "On an algebraic generalization of the quantum mechanical formalism", journal = "Annals of Mathematics", year = "1934", volume = "35", pages = "29-64"} @article {MR1742322, AUTHOR = {Ji, J. and Potra, F.A. and Sheng, R.}, TITLE = {On the local convergence of a predictor-corrector method for semidefinite programming}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {10}, YEAR = {1999}, NUMBER = {1}, PAGES = {195--210 (electronic)}, ISSN = {1052-6234}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {MR1742322 (2001b:90062)}, MRREVIEWER = {Jos F. Sturm}, } %KKKKKKKKKKKKKK @incollection {Kah:96, author = "N. KAHALE", title ="A semidefinite bound for mixing rates of {M}arkov chains", booktitle = "Integer programming and combinatorial optimization (Vancouver, BC, 1996)", pages="190--203", series = "Lecture Notes in Comput. Sci.", volume ="1084", publisher = "Springer, Berlin", year = "1996"} @article {MR87j:15039, AUTHOR = {KAR{\v{C}}ICKA, D. 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Oper. Res.}, FJOURNAL = {Annals of Operations Research}, VOLUME = {265}, YEAR = {2018}, NUMBER = {1}, PAGES = {143--154}, ISSN = {0254-5330}, MRCLASS = {05C70 (05C22 05C85 90C22 90C35)}, MRNUMBER = {3788893}, DOI = {10.1007/s10479-017-2575-3}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10479-017-2575-3}, } @article {MR2546331, AUTHOR = {de Klerk, E. and Sotirov, R.}, TITLE = {Exploiting group symmetry in semidefinite programming relaxations of the quadratic assignment problem}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {122}, YEAR = {2010}, NUMBER = {2, Ser. 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Alper and Todd, Michael J.}, TITLE = {Sensitivity analysis in linear programming and semidefinite programming using interior-point methods}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {90}, YEAR = {2001}, NUMBER = {2, Ser. A}, PAGES = {229--261}, ISSN = {0025-5610}, MRCLASS = {90C31 (90C22 90C51)}, MRNUMBER = {2002c:90079}, MRREVIEWER = {Shu Zhong Zhang}, } @article{YildTodd:99, author = "E.A. YILDIRIM and M.J. Todd", title = "Sensitivity analysis in linear programming and semidefinite programming using interior-point methods", year = "2001", number = "2", journal = mprog, volume = "90", pages ="229-261", institution = "School of Operations Research and Industrial Engineering", address = "Ithaca, NY 14853-3801", } @techreport{Yild:01, author = "E.A. YILDIRIM", title = "An Interior-Point Perspective on Sensitivity Analysis in Semidefinite Programming", year = "2001", institution = "School of Operations Research and Industrial Engineering", address = "Ithaca, NY 14853-3801", } @article {Yild:04, AUTHOR = {YILDIRIM, E.A.}, TITLE = {Unifying optimal partition approach to sensitivity analysis in conic optimization}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {122}, YEAR = {2004}, NUMBER = {2}, PAGES = {405--423}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {90C31 (90C05 90C22)}, MRNUMBER = {MR2093850 (2005e:90134)}, MRREVIEWER = {I. M. Stancu-Minasian}, } % ZZZZZZZZZZZZZZZZZZ @techreport {Zalinescu:10, AUTHOR = {Z{\u{a}}linescu, Constantin}, title = "On duality gap in linear conic problems", institution = "University of Al. I. 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ZIEBUR", title = "Chain rules for functions of matrices", journal = laa, year = "1998", volume = "283", pages = "87-97"} @TECHREPORT {ZoBySch:96, author = "Z. ZOU and R.H. BYRD and R.B. SCHNABEL", title = "A stochastic/perturbation global optimization algorithm for distance geometry problems", institution = "Dept. of Computer Science, University of Colorado", year = "1996", address = "Boulder, Co"} @article {MR2219133, AUTHOR = {Zuluaga, L.F. and Vera, J. and Pe{\~n}a, J.}, TITLE = {L{MI} approximations for cones of positive semidefinite forms}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {16}, YEAR = {2006}, NUMBER = {4}, PAGES = {1076--1091 (electronic)}, ISSN = {1052-6234}, MRCLASS = {90C22 (90C25 90C30 90C34)}, MRNUMBER = {MR2219133 (2006m:90121)}, MRREVIEWER = {Didier Henrion}, } # distance matrix references @INCOLLECTION{lh82, AUTHOR ="J. De Leeuw and W. Heiser", EDITOR ="P. R. Krishnaiah and L. N. 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Res.}, FJOURNAL = {European Journal of Operational Research}, VOLUME = {143}, YEAR = {2002}, NUMBER = {2}, PAGES = {325--341}, ISSN = {0377-2217}, CODEN = {EJORDT}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {2003j:90035}, MRREVIEWER = {Ji-Ming Peng}, } @article {MR1932386, AUTHOR = {Kojima, M. and Tun{\c{c}}el, L.}, TITLE = {Some fundamental properties of successive convex relaxation methods on {LCP} and related problems}, JOURNAL = {J. Global Optim.}, FJOURNAL = {Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering}, VOLUME = {24}, YEAR = {2002}, NUMBER = {3}, PAGES = {333--348}, ISSN = {0925-5001}, CODEN = {JGOPEO}, MRCLASS = {90C33 (90C09 90C11 90C20 90C48)}, MRNUMBER = {1 932 386}, MRREVIEWER = {Panos M. Pardalos}, } @article {MR2002e:90070, AUTHOR = {Kojima, M. and Tun{\c{c}}el, L.}, TITLE = {Discretization and localization in successive convex relaxation methods for nonconvex quadratic optimization}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {89}, YEAR = {2000}, NUMBER = {1, Ser. A}, PAGES = {79--111}, ISSN = {0025-5610}, MRCLASS = {90C26 (90C08 90C34 90C51)}, MRNUMBER = {2002e:90070}, MRREVIEWER = {Reha H. T{\"u}t{\"u}nc{\"u}}, } @article {AlHaOv:98, author = "F. Alizadeh and J-P.A. Haeberly and M.L. Overton", title = "Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results", institution = "Courant Institute of Mathematical Sciences", keywords = "sdp; semidefinite programming", journal = siopt, year = "1998", volume = "8", pages = "746-768" } @book{FarautKoranyi:94, author = "J. FARAUT and A. KORANYI", title = "Analysis on Symmetric Cones", year = "1994", series = "", publisher = "Oxford University Press", address = "NY, USA" } @book{FiaccoMcCormick:90, author = "A.V. FIACCO and G.P. McCORMICK", title = "Nonlinear programming sequential unconstrained minimization techniques", year = "1990", series = "Classics in Applied Mathematics", publisher = "SIAM", address = "Philadelphia, PA, USA" } @techreport {Frisch:55, author = "K.R. FRISCH", title = "The logarithmic potential method of convex programming", institution = "Institute of Economics, Oslo University", year = "1955", address = "Oslo, Norway" } @article {GonzagaTodd:92, author = "C.C. GONZAGA and M.J. Todd", title = "An {O}$(\sqrt{n}{L})$-iteration large-step primal-dual affine algorithm for linear programming", journal = siopt, year = "1992", volume = "2", pages = "349-359" } @article {Guler:96, author = "O. G{\" U}LER", title = "Barrier functions in interior point methods", journal = mor, year = "1996", volume = "21", pages = "860-885" } @article {Guler:97, author = "O. G{\" U}LER", title = "Hyperbolic polynomials and interior point methods for convex programming", journal = mor, year = "1997", volume = "22", pages = "350-377" } @techreport {Guler:98, author = "O. G{\" U}LER", title = "Private communication", note = "Unpublished", institution = {University of Maryland Baltimore County, Baltimore, MD}, year = "January 1998" } @article {MR3301316, AUTHOR = {de Carli Silva, M.K. and Tun\c{c}el, L.}, TITLE = {Vertices of spectrahedra arising from the elliptope, the theta body, and their relatives}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {25}, YEAR = {2015}, NUMBER = {1}, PAGES = {295--316}, ISSN = {1052-6234}, MRCLASS = {90C57 (90C22 90C27 90C46)}, MRNUMBER = {3301316}, MRREVIEWER = {Ruriko Yoshida}, DOI = {10.1137/130945818}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/130945818}, } @techreport {GulerTuncel:97, author = "O. G{\" U}LER and L. TUN{\c{C}}EL", title = "Manuscript", note = "Unpublished", institution = {University of Maryland Baltimore County, Baltimore, MD}, year = "1997" } @article {GulerTuncel:98, author = "O. G{\" U}LER and L. Tun{\c{c}}el", TITLE = {Characterization of the barrier parameter of homogeneous convex cones}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {81}, YEAR = {1998}, NUMBER = {1, Ser. A}, PAGES = {55--76}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C30 (49M30)}, MRNUMBER = {MR1617693 (99f:90124)}, MRREVIEWER = {Guillermo L. Hansen}, } @article {Karmarkar:84, author = "N.K. KARMARKAR", title = "A new polynomial time algorithm for linear programming", journal = "Combinatorica", year = "1984", volume = "4", pages = "373-395" } @book{KMNY:91, author = "M. Kojima and N. MEGIDDO and T. NOMA and A. YOSHISE", title = "A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems", year = "1991", series = "Lecture Notes in Computer Science", publisher = "Springer-Verlag", address = "NY, USA" } @article {KMY:89, author = "M. Kojima and S. MIZUNO and A. YOSHISE", title = "A polynomial time algorithm for a class of linear complementarity problems", journal = mprog, year = "1989", volume = "44", pages = "1-26" } @article {KMY:91, author = "M. Kojima and S. MIZUNO and A. YOSHISE", title = "An {O}${(\sqrt{n}{L})}$ iteration potential reduction algorithm for linear complementarity problems", journal = mprog, year = "1991", volume = "50", pages = "331-342" } @techreport {KoShSh:96, author = "M. Kojima and M. Shida and S. Shindoh", TITLE = {A note on the {N}esterov-{T}odd and the {K}ojima-{S}hindoh-{H}ara search directions in semidefinite programming}, note = "To appear in Optim. Methods Softw.", institution="Department of Mathematical and Computing Sciences Tokyo Institute of Technology", address="Oh-Okayama, Meguro, Tokyo 152-8552", year = "1999" } @article{KoShSh:99, author = "M. Kojima and M. Shida and S. Shindoh", title = "Search directions in the {SDP} and the monotone {SDLCP}: generalization and inexact computation", journal = mprog, volume = "85", pages = "51--80", year = "1999" } @article {KojimaTuncel:98, author = "M. Kojima and L. Tun{\c{c}}el", title = {Monotonicity of primal-dual interior-point algorithms for semidefinite programming problems}, JOURNAL = oms, VOLUME = {10}, YEAR = {1998}, PAGES = {275-296}, } @article {Lim:79, author = "M.H. LIM", TITLE = {Linear transformations on symmetric matrices}, JOURNAL = {Linear and Multilinear Algebra}, VOLUME = {7}, YEAR = {1979}, PAGES = {47-57}, } @article {MarcusMoyls:59, author = "M. MARCUS and B.N. MOYLS", TITLE = {Linear transformations on algebras of matrices}, JOURNAL = {Canadian J. Math.}, VOLUME = {11}, YEAR = {1959}, PAGES = {61-66} } @inproceedings{Megiddo:88, author = "N. MEGIDDO", title = "Pathways to the optimal set in linear programming", booktitle = "Progress in Mathematical Programming, Interior Point and Related Methods", editor="N. Megiddo", Publisher="Springer-Verlag", year ={1988} } @article {MKT:95, author = "S. MIZUNO and M. Kojima and M.J. Todd", title = {Infeasible-interior-point primal-dual potential-reduction algorithms for linear programming}, JOURNAL = siopt, VOLUME = {5}, YEAR = {1995}, PAGES = {52-67}, } @article {MR2004397, author = "R.D.C. 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Rockafellar", TITLE = {Convex analysis}, SERIES = {Princeton Landmarks in Mathematics}, NOTE = {Reprint of the 1970 original, Princeton Paperbacks}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {1997}, PAGES = {xviii+451}, ISBN = {0-691-01586-4}, MRCLASS = {49-02 (26-02 46-02 58-02 90-02)}, MRNUMBER = {MR1451876 (97m:49001)}, } @book{Rocka:70, author = "R.T. Rockafellar", TITLE = {Convex analysis}, SERIES = {Princeton Landmarks in Mathematics}, NOTE = {Reprint of the 1970 original, Princeton Paperbacks}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {1997}, PAGES = {xviii+451}, ISBN = {0-691-01586-4}, MRCLASS = {49-02 (26-02 46-02 58-02 90-02)}, MRNUMBER = {MR1451876 (97m:49001)}, } @article {Rothaus:60, author = "O.S. ROTHAUS", title={Domains of positivity}, journal={Abh. Math. Sem. Univ. Hamburg}, pages = "189-235", volume = "24", year={1960} } @article {SeifiTuncel:98, author = "A. SEIFI and L. Tun{\c{c}}el", title={A constant-potential infeasible-start interior-point algorithm with computational experiments and applications}, journal=coap, pages = "107-152", volume = "9", year={1998} } @article {SturmZhang:95, author = "J.F. Sturm and S. Zhang", title={Symmetric primal-dual path following algorithms for semidefinite programming}, journal=apnum, year={1999}, volume = 29, pages = {301--315} } @techreport{Tanabe:87, author = "K. TANABE", title = "Complementarity-enforcing centered {Newton} method for linear programming: {Global} methods", type = "Manuscript at the Symposium {``New Methods for Linear Programming''}", institution = "The Institute of Statistical Mathematics", address = "4-6-7 Minamiazabu, Minatoku, Tokyo, Japan 106", year = "1987", note = "Title of revised version is: Complementarity-enforcing centered {Newton} method for mathematical programming: Global method" } @inproceedings{Tanabe:88, author = "K. TANABE", title = {Centered {N}ewton method for mathematical programming}, booktitle = "System Modeling and Optimization", editors="M. IRI and K. YAJIMA", Publisher="Springer-Verlag", pages = "197--206", year = "1988", address = "NY, USA" } @article {MR2294049, AUTHOR = {Toh, K. C. and T{\"u}t{\"u}nc{\"u}, R. H. and Todd, M. J.}, TITLE = {Inexact primal-dual path-following algorithms for a special class of convex quadratic {SDP} and related problems}, JOURNAL = {Pac. J. Optim.}, FJOURNAL = {Pacific Journal of Optimization. An International Journal}, VOLUME = {3}, YEAR = {2007}, NUMBER = {1}, PAGES = {135--164}, ISSN = {1348-9151}, MRCLASS = {90C22 (65K10 90C51)}, MRNUMBER = {2294049 (2007i:90057)}, MRREVIEWER = {Didier Henrion}, } @article {MR1976479, AUTHOR = {T{\"u}t{\"u}nc{\"u}, R. H. and Toh, K. C. and Todd, M. J.}, TITLE = {Solving semidefinite-quadratic-linear programs using {SDPT}3}, NOTE = {Computational semidefinite and second order cone programming: the state of the art}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {95}, YEAR = {2003}, NUMBER = {2, Ser. B}, PAGES = {189--217}, ISSN = {0025-5610}, MRCLASS = {90C22 (90C20)}, MRNUMBER = {1976479 (2004c:90036)}, DOI = {10.1007/s10107-002-0347-5}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-002-0347-5}, } @article {MR1778429, AUTHOR = {Toh, K.C. and Todd, M.J. and T{\"u}t{\"u}nc{\"u}, R.H.}, TITLE = {S{DPT}3---a {MATLAB} software package for semidefinite programming, version 1.3}, NOTE = {Interior point methods}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods and Software}, VOLUME = {11/12}, YEAR = {1999}, NUMBER = {1-4}, PAGES = {545--581}, ISSN = {1055-6788}, CODEN = {OMSOE2}, MRCLASS = {90C22 (90-04)}, MRNUMBER = {1778429}, DOI = {10.1080/10556789908805762}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/10556789908805762}, } @article{ToddTohTut:96b, AUTHOR = {Toh, K.C. and Todd, M.J. and T{\"u}t{\"u}nc{\"u}, R.H.}, TITLE = {S{DPT}3---a {MATLAB} software package for semidefinite programming, version 1.3}, NOTE = {Interior point methods}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods and Software}, VOLUME = {11/12}, YEAR = {1999}, NUMBER = {1-4}, PAGES = {545--581}, ISSN = {1055-6788}, CODEN = {OMSOE2}, MRCLASS = {90C22 (90-04)}, MRNUMBER = {1778429}, DOI = {10.1080/10556789908805762}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/10556789908805762}, } @article{ToddTohTut:98, author = "M.J. Todd and K.C. Toh and R.H. {T\"{u}t\"{u}nc\"{u}}", title = "On the {N}esterov-{T}odd direction in semidefinite programming", journal=siopt, pages = "769-796", volume = "8", number = "3", year={1998} } @article{ToddYe:90, author = "M.J. Todd and Y. Ye", title = "A centered projective algorithm for linear programming", journal=mor, pages = "508-529", volume = "15", year={1990} } @article{Tuncel:94, author = "L. Tun{\c{c}}el", title={Constant potential primal-dual algorithms: A framework}, journal=mprog, pages = "145-159", volume = "66", year={1994} } @article{Tuncel:98a, author = "L. Tun{\c{c}}el", title={Primal-dual symmetry and scale invariance of interior-point algorithms for convex optimization}, journal=mor, pages = "708-718", volume = "23", year={1998} } @techreport {Tuncel:98b, AUTHOR = "L. Tun{\c{c}}el", TITLE = "Lecture Notes on ``{C}onvex Optimization: Barrier Functions and Interior-Point Methods''", number = "B-336", institution = "Department of Mathematical and Computing Sciences, Tokyo Institute of Technology", address = "Tokyo, Japan", year = {1998}} @inproceedings{Tuncel:99, author = "L. Tun{\c{c}}el", title = {Interior-point methods for semidefinite programming}, booktitle = "Encyclopedia of Optimization", editors="C.A. FLOUDAS and P.M. Pardalos", Publisher="Kluwer Academic Publishers", year = "1999", address = "MA, USA" } @article{TuncelTodd:97, author = "L. Tun{\c{c}}el and M.J. Todd", title = "On the interplay among entropy, variable metrics and potential functions in interior-point algorithms", journal=coap, pages = "5-19", volume = "8", year={1997} } @article {Waterhouse:89, author={W.C. 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Pardalos and H.~Wolkowicz}, booktitle = {Topics in Semidefinite and Interior-Point Methods}, volume = {18}, series = {The Fields Institute for Research in Mathematical Sciences, Communications Series}, pages = {215--236}, publisher = {American Mathematical Society}, year = {1998} } @inproceedings {int:Deklerk5, author = {de Klerk, E. and C. Roos and T. Terlaky}, title = {On primal--dual path--following algorithms in semidefinite programming}, editors = {F.~Giannessi, S.~Koml\'{o}si, and T.~Rapcs\'{a}k}, booktitle = {New trends in Mathematical Programming}, pages = {137--157}, publisher = {Kluwer Academic Publishers}, address = {Dordrecht, The Netherlands}, year = {1998} } @techreport {Illes98, author = {T.~ILL{\'E}S and J.~Peng and C.~Roos and and T.~Terlaky}, title = {A strongly polynomial rounding procedure yielding a maximally complementary solution for {P}$^*(\kappa)$ linear complementarity problems}, number = {98--15}, institution = {Faculty of Technical Mathematics and Computer Science}, address = {Delft University of Technology, Delft, The Netherlands}, year = {1998} } @article {int:Jiang1, author = {J.~JIANG}, TITLE = {A long-step primal-dual path-following method for semidefinite programming}, JOURNAL = {Oper. Res. 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Pardalos}, title = {Semidefinite programming}, editor = {T.~Terlaky}, booktitle = {Interior Point Methods of Mathematical programming}, pages = {369--398}, Publisher = {Kluwer}, address = {Dordrecht, The Netherlands}, year = {1996} } @techreport{int:Stoer2, author = {J.~STOER and M.~WECHS}, title = {Infeasible-interior-point paths for sufficient linear complementarity problems and their analyticity}, note = {Manuscript}, institution = {Institut f\"ur Angewandte Mathematik und Statistik}, address = {Universit\"at W\"urzburg, W\"urzburg, Germany}, year = {1996} } ## from deKlerk et al end ## from Mike Todd et al beginning %Henry, I've been doing some work on cleaning up our chapter, though %the text is much the same as what you have. In particular, I've been %preparing a bib file. This has some additions to your master list, %as well as some updates (marked by %%**). It's included below. @techreport {Ko:95, author = "M. Kojima", institution="Department of Mathematical and Computing Sciences Tokyo Institute of Technology", address="Oh-Okayama, Meguro, Tokyo 152-8552", title = "Private communication", year = "1995" } @article {Mont:98, author = "R.D.C. Monteiro", title = "Polynomial convergence of primal-dual algorithms for semidefinite programming based on the {Monteiro and Zhang} family of directions", journal = siopt, year = "1998", volume = "8", pages = "797-812" } @article{MoTu:96, author = "R.D.C. Monteiro and T. Tsuchiya", title = "Polynomiality of Primal-Dual algorithms for semidefinite Linear Complementarity Problems Based on the {Kojima-Shindoh-Hara} Family of Directions", journal = mprog, volume = "84", year = "1999", pages = "39--53" } @techreport{lupong:10, AUTHOR = "Z. Lu and T.K. Pong", Title = {Minimizing condition number via convex programming}, institution = {University of Washington}, address = {Seattle, WA}, number = {}, Year = 2010} @techreport{pongtseng:09, AUTHOR = "T.K. Pong and P. Tseng", Title = {({R}obust) edge-based semidefinite programming relaxation of sensor network localization}, institution = {University of Washington}, address = {Seattle, WA}, number = {Jan-09}, Year = 2009} @article{Pong:2010, Author = {Pong, T. AND Tseng, P.}, Journal = {Mathematical Programming}, Title = {({R}obust) {E}dge-based semidefinite programming relaxation of sensor network localization}, Year = {2010}, } @article {pong:12, author = "T.K. Pong", title={Edge-based semidefinite programming relaxation of sensor network localization with lower bound constraints}, journal=coap, pages = "23--44", volume = "53", year={2012} } @techreport{Pong:2009, AUTHOR = "T.K. Pong and P. Tseng", Title = {({R}obust) edge-based semidefinite programming relaxation of sensor network localization}, institution = {University of Washington}, address = {Seattle, WA}, number = {Jan-09}, Year = 2009} @techreport{tseng:96, AUTHOR = "P. Tseng", Title = {FURTHER NOTES ON THE EXISTENCE OF SEARCH DIRECTIONS IN INTERIOR-POINT METHODS FOR THE MONOTONE SEMI-DEFINITE {LCP}}, institution = {University of Washington}, address = {Seattle, WA}, number = {Aug-96}, Year = 1996} @techreport{tseng:04, AUTHOR = "P. Tseng", Title = {{SOCP} relaxation for nonconvex optimization}, institution = {University of Washington}, address = {Seattle, WA}, number = {Aug-04}, note = "presented at ICCOPT I, RPI, Troy, NY", Year = 2004} @article{Tse:98, AUTHOR = "P. Tseng", TITLE = "Search directions and convergence analysis of some infeasible path-following methods for the monotone semi-definite {LCP}", journal=oms, pages = "245-268", volume = "9", year={1998} } @article{Tsengsiam:05, AUTHOR = {Tseng, P.}, TITLE = {Second-order cone programming relaxation of sensor network localization}, JOURNAL = siopt, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {18}, YEAR = {2007}, NUMBER = {1}, PAGES = {156-185}, } @article{Tseng:2007, AUTHOR = {Tseng, P.}, TITLE = {Second-order cone programming relaxation of sensor network localization}, JOURNAL = siopt, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {18}, YEAR = {2007}, NUMBER = {1}, PAGES = {156-185}, } @article{YZha:98, author = "Y. Zhang", title = "On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming", journal = siopt, year = "1998", volume = "8", pages = "365-386" } ## from Mike Todd et al end ## from Ragu et al end # @phdthesis{biswasphd07, author="P. Biswas", title="Semidefinite programming approaches to distance geometry problems", school ="Stanford University", address="Stanford, CA", year="2007" } @inproceedings{ ElB:94, author={L. {EL~GHAOUI} and V. BALAKRISHNAN}, title={{S}ynthesis of Fixed-structure Controllers via Numerical Optimization}, booktitle=cdc, month=dec, year={1994}, pages={2678-2683}, } ## from Ragu et al end ###From Laurent: @article{MVZ, author = {MULVEY, J.M. and Vanderbei, R.J. and ZENIOS, S.A.}, title = {Robust optimization of large-scale systems}, journal = {Operations Research}, volume = {43}, pages = {264-281}, year = 1995} @article{BNWP, AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.}, TITLE = {Robust convex optimization}, JOURNAL = mor, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {23}, YEAR = {1998}, NUMBER = {4}, PAGES = {769--805}, ISSN = {0364-765X}, } @article{RLP, AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.}, TITLE = {Robust solutions of uncertain linear programs}, JOURNAL = {Oper. Res. Lett.}, FJOURNAL = {Operations Research Letters}, VOLUME = {25}, YEAR = {1999}, NUMBER = {1}, PAGES = {1--13}, ISSN = {0167-6377}, CODEN = {ORLED5}, MRCLASS = {90C05 (90C31)}, MRNUMBER = {2001i:90037}, } @article {MR1905762, AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.}, TITLE = {Robust optimization---methodology and applications}, NOTE = {ISMP 2000, Part 2 (Atlanta, GA)}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {92}, YEAR = {2002}, NUMBER = {3, Ser. B}, PAGES = {453--480}, ISSN = {0025-5610}, MRCLASS = {90C25 (90C31)}, MRNUMBER = {MR1905762 (2003d:90074)}, MRREVIEWER = {Stephan Dempe}, } @article {MR2001h:90038, AUTHOR = {Ben-Tal, A. and Nemirovski, A.}, TITLE = {Robust solutions of linear programming problems contaminated with uncertain data}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {88}, YEAR = {2000}, NUMBER = {3, Ser. A}, PAGES = {411--424}, ISSN = {0025-5610}, MRCLASS = {90C05 (90C20 90C31)}, MRNUMBER = {2001h:90038}, MRREVIEWER = {Jos F. Sturm}, } @article{BNRT, AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.}, TITLE = {Robust truss topology design via semidefinite programming}, JOURNAL = siopt, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {7}, YEAR = {1997}, NUMBER = {4}, PAGES = {991--1016}, ISSN = {1052-6234}, CODEN = {SJOPE8}, } @techreport{bentalnemirov:98, AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.}, Title = {{Convex Optimization in Engineering: Modeling, Analysis, Algorithms}}, institution = {Delft University of Technology}, address = {Delft, The Netherlands}, number = {on notes from course given by A. Nemirovski}, Year = 1998} @book {MR1857264, AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.}, TITLE = {Lectures on modern convex optimization}, SERIES = {MPS/SIAM Series on Optimization}, NOTE = {Analysis, algorithms, and engineering applications}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)}, ADDRESS = {Philadelphia, PA}, YEAR = {2001}, PAGES = {xvi+488}, ISBN = {0-89871-491-5}, MRCLASS = {90-01 (49-01 90C05 90C22 90C51)}, MRNUMBER = {MR1857264 (2003b:90002)}, MRREVIEWER = {Jos F. Sturm}, } @article{BNRT:00, AUTHOR = {Ben-Tal, A. and Nemirovski, A.S.}, title = "On the quality of semidefinite approximations of uncertain semidefinite programs affected by box uncertainty", year = "2000", institution = "MINERVA Optimization Center, Technion - Israel Institute of Technology", address = "Technion City, Haifa 32000, Israel", number = {2/00}, } @article{BenKocNemZow:99, AUTHOR = {Ben-Tal, A. and KOCVARA, M. and Nemirovski, A.S. and ZOWE, J.}, TITLE = {Free Material Design via Semidefinite Programming: The Multiload Case with Contact Conditions}, JOURNAL = siopt, VOLUME = {9}, YEAR = {1999}, NUMBER = {4}, PAGES = {813 - 832}, } @Book{Han:92, author = "E. R. HANSEN", title = "Global optimization using interval analysis", publisher = "Marcel Dekker", year = "1992", address = "New-York" } @Unpublished{KoK:96, author = "M. KOSHELER and V. KREINOVITCH", title = "Interval computations web site", note = "{\tt cs.utep.edu/interval-comp/main.html}", year = "1996" } @Book{Moo:79, author = "R.E. MOORE", title = "Methods and Applications of Interval Analysis", publisher = "{SIAM}", year = "1979", address = "Philadelphia" } @article{Roh:89, author={J. ROHN}, title={Systems of linear interval equations}, journal=laa, year={1989}, note={}, volume={126}, number={}, pages={39-78}, month={} } @Article{Roh:97, author = "J. ROHN", title = "Overestimations in bounding solutions of perturbed linear equations", journal = laa, year = "1997", volume = "262", pages = "55--66", month = sep } @Book{VHV:91, author = "S. {VAN HUFFEL} and J. VANDEWALLE", title = "The total least squares problem: computational aspects and analysis", publisher = "SIAM", year = "1991", volume = "9", address = {Philadelphia, PA}, series = "Frontiers in applied Math.", } @article {OGL, author = {L. {EL GHAOUI} and F. OUSTRY and H. 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Linear Algebra}, FJOURNAL = {Electronic Journal of Linear Algebra}, VOLUME = {1}, YEAR = {1996}, PAGES = {59--63 (electronic)}, ISSN = {1081-3810}, MRCLASS = {15A48}, MRNUMBER = {97h:15028}, MRREVR = {Hugo Jan Woerdeman}, } @article {MR97g:15024, AUTHOR = {COHEN, N. and DANCIS, J.}, TITLE = {Maximal rank {H}ermitian completions of partially specified {H}ermitian matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {244}, YEAR = {1996}, PAGES = {265--276}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A57}, MRNUMBER = {97g:15024}, MRREVR = {Shu An Hu}, } @article {MR93f:15021, AUTHOR = {DANCIS, J.}, TITLE = {Positive semidefinite completions of partial {H}ermitian matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {175}, YEAR = {1992}, PAGES = {97--114}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A57 (47A57)}, MRNUMBER = {93f:15021}, MRREVR = {L. 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Rodman}, } @incollection {MR90k:15008, AUTHOR = {Johnson, C.R. and RODMAN, L.}, TITLE = {Chordal inheritance principles and positive definite completions of partial matrices over function rings}, BOOKTITLE = {Contributions to operator theory and its applications (Mesa, AZ, 1987)}, PAGES = {107--127}, PUBLISHER = {Birkh\"auser}, ADDRESS = {Basel}, YEAR = {1988}, MRCLASS = {15A54 (05C50 15A60)}, MRNUMBER = {90k:15008}, MRREVR = {Robert Grone}, } @article {MR86d:15009, AUTHOR = {NEWMAN, M.}, TITLE = {Matrix completion theorems}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {94}, YEAR = {1985}, NUMBER = {1}, PAGES = {39--45}, ISSN = {0002-9939}, CODEN = {PAMYAR}, MRCLASS = {15A33 (15A57)}, MRNUMBER = {86d:15009}, MRREVR = {William H. Gustafson}, } @article {MR86b:15026, AUTHOR = {Johnson, C.R. and RODMAN, L.}, TITLE = {Inertia possibilities for completions of partial {H}ermitian matrices}, JOURNAL = {Linear and Multilinear Algebra}, FJOURNAL = {Linear and Multilinear Algebra}, VOLUME = {16}, YEAR = {1984}, NUMBER = {1-4}, PAGES = {179--195}, ISSN = {0308-1087}, CODEN = {LNMLAZ}, MRCLASS = {15A57 (15A18)}, MRNUMBER = {86b:15026}, MRREVR = {Bryan E. Cain}, } @incollection {MR1059486, AUTHOR = {Johnson, C.R.}, TITLE = {Matrix completion problems: a survey}, BOOKTITLE = {Matrix theory and applications (Phoenix, AZ, 1989)}, PAGES = {171--198}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1990}, MRCLASS = {15-02 (15A03 15A15 15A57 15A60)}, MRNUMBER = {1 059 486}, } ###extra refs about matrix completions end ### correlation matrices references @article {MR1929023, AUTHOR = {LI, C.K. and PIERCE, S.}, TITLE = {Linear operators preserving correlation matrices}, JOURNAL = {Proc. Amer. Math. 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Numerical Mathematics}, VOLUME = {40}, YEAR = {2000}, NUMBER = {4}, PAGES = {640--651}, ISSN = {0006-3835}, MRCLASS = {65F18}, MRNUMBER = {2002g:65045}, MRREVIEWER = {Ram Shanmugam}, } %% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nathan Krislock at 2010-07-05 15:55:49 -0400 %% Saved with string encoding Unicode (UTF-8) @article{Ma:2010, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1006.5252M}, Archiveprefix = {arXiv}, Author = {{Ma}, R. and {Cheng}, S.}, Date-Added = {2010-07-05 15:55:18 -0400}, Date-Modified = {2010-07-05 15:55:22 -0400}, Eprint = {1006.5252}, Journal = {ArXiv e-prints}, Keywords = {Mathematics - Numerical Analysis, Computer Science - Numerical Analysis}, Month = jun, Title = {{Decomposition Approach for Low-rank Matrix Completion}}, Year = 2010} @article{Mesbahi:1997, Author = {Mesbahi, M. and Papavassilopoulos, G.P.}, Journal = {Automatic Control, IEEE Transactions on}, Month = {feb}, Number = {2}, Pages = {239 -243}, Title = {On the rank minimization problem over a positive semidefinite linear matrix inequality}, Volume = {42}, Year = {1997}} @ARTICLE{871772, author={Parrilo, P.A. and Khatri, S.}, journal={Automatic Control, IEEE Transactions on}, title={On cone-invariant linear matrix inequalities}, year={2000}, month={aug}, volume={45}, number={8}, pages={1558 -1563}, keywords={classical Perron-Frobenius theorem;cone-invariant linear matrix inequalities;linear operator;optimal solution;optimal value;power iteration-type algorithms;rank minimization problems;spectral radius;structured singular value;iterative methods;matrix algebra;minimisation;}, doi={10.1109/9.871772}, ISSN={0018-9286},} ####% PROTEIN DESIGN from Vris ####% Emergent strategies for inverse molecular design @article {HuBY:09, author = {Hu, X. and Beratan, D. and Yang, W.}, affiliation = {Department of Chemistry, Duke University, Durham, North Carolina 27708-0354, USA}, title = {Emergent strategies for inverse molecular design}, journal = {Science in China Series B: Chemistry}, publisher = {Science China Press, co-published with Springer}, issn = {1006-9291}, keyword = {Chemistry and Materials Science}, pages = {1769-1776}, volume = {52}, issue = {11}, url = {http://dx.doi.org/10.1007/s11426-009-0260-3}, note = {10.1007/s11426-009-0260-3}, year = {2009} } % Branch-and-terminate: a combinatorial optimization algorithm for protein design @article{GordonM:99, address = {Division of Chemistry and Chemical Engineering California Institute of Technology Pasadena, California, 91125, USA.}, author = {Gordon, D. 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858", year = "2011", note = "", issn = "0969-2126", doi = "DOI: 10.1016/j.str.2011.03.019", url = "http://www.sciencedirect.com/science/article/pii/S0969212611001444", author = "Shapovalov, M.V. and Dunbrack, R.L." } % The penultimate rotamer library @article {LovellWRR:00, author = {Lovell, S.C. and Word, J.M. and Richardson, J.S. and Richardson, D.C.}, title = {The penultimate rotamer library}, journal = {Proteins: Structure, Function, and Bioinformatics}, volume = {40}, number = {3}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, issn = {1097-0134}, url = {http://dx.doi.org/10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2}, doi = {10.1002/1097-0134(20000815)40:3<389::AID-PROT50>3.0.CO;2-2}, pages = {389--408}, keywords = {side-chain rotamer library, all-atom contact analysis, structure validation, reversed leucines, explicit hydrogens, van der Waals analysis}, year = {2000}, } %----------------------------------------------------------- % DEAD END ELIMINATION % The dead-end elimination theorem and its use in protein side-chain positioning @article{DesmetMHL:92, author = {Desmet, J. and Maeyer, M.D. and Hazes, B. and Lasters, I.}, day = {09}, doi = {10.1038/356539a0}, issn = {0028-0836}, journal = {Nature}, keywords = {dee, rotamers}, month = apr, number = {6369}, pages = {539--542}, posted-at = {2006-04-07 14:33:40}, priority = {0}, publisher = {Nature Publishing Group}, title = {{The dead-end elimination theorem and its use in protein side-chain positioning}}, url = {http://dx.doi.org/10.1038/356539a0}, volume = {356}, year = {1992} } % Efficient rotamer elimination applied to protein side-chains and related spin glasses @article{Goldstein:94, title = "Efficient rotamer elimination applied to protein side-chains and related spin glasses", journal = "Biophysical Journal", volume = "66", number = "5", pages = "1335 - 1340", year = "1994", note = "", issn = "0006-3495", doi = "DOI: 10.1016/S0006-3495(94)80923-3", url = "http://www.sciencedirect.com/science/article/pii/S0006349594809233", author = "Goldstein, R.F. " } %----------------------------------------------------------- % ENERGY FUNCTION % Computing van der Waals energies in the context of the rotamer approximation @article{GrigoryanOK:07, author = {Grigoryan, G. and Ochoa, A. and Keating, A.E.}, doi = {10.1002/prot.21470}, journal = {Proteins}, keywords = {keating-import}, month = sep, number = {4}, pages = {863--878}, posted-at = {2009-04-08 21:33:49}, priority = {2}, title = {{Computing van der Waals energies in the context of the rotamer approximation}}, url = {http://www.hubmed.org/display.cgi?uids=17554777}, volume = {68}, year = {2007} } @article{MR1772826, AUTHOR = {Helmberg, C. and Rendl, F. and Weismantel, R.}, TITLE = {A semidefinite programming approach to the quadratic knapsack problem}, JOURNAL = {J. Comb. Optim.}, FJOURNAL = {Journal of Combinatorial Optimization}, VOLUME = {4}, YEAR = {2000}, NUMBER = {2}, PAGES = {197--215}, ISSN = {1382-6905}, MRCLASS = {90C27 (90C22)}, MRNUMBER = {1772826}, MRREVIEWER = {Alejandro Crema}, DOI = {10.1023/A:1009898604624}, URL = {http://dx.doi.org/10.1023/A:1009898604624}, } @article{WaNaMu:12, title={Strange behaviors of interior-point methods for solving semidefinite programming problems in polynomial optimization}, author={Waki, H. and Nakata, M. and Muramatsu, M.}, journal={Computational Optimization and Applications}, volume={53}, number={3}, pages={823--844}, year={2012}, publisher={Springer} } @article {MR1614078, AUTHOR = {Vandenberghe, L. and Boyd, S. and Wu, S-P.}, TITLE = {Determinant maximization with linear matrix inequality constraints}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {19}, YEAR = {1998}, NUMBER = {2}, PAGES = {499--533}, ISSN = {0895-4798}, MRCLASS = {90C25 (65F30)}, MRNUMBER = {1614078}, MRREVIEWER = {Mei-Qin Chen}, DOI = {10.1137/S0895479896303430}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/S0895479896303430}, } @incollection {MR3297415, AUTHOR = {Zhang, Q.}, TITLE = {The orthogonal complement of faces for cones associated with the cone of positive semidefinite matrices}, BOOKTITLE = {Advances in global optimization}, SERIES = {Springer Proc. Math. Stat.}, VOLUME = {95}, PAGES = {15--22}, PUBLISHER = {Springer, Cham}, YEAR = {2015}, MRCLASS = {90C22 (90C46)}, MRNUMBER = {3297415}, MRREVIEWER = {Ning Ruan}, DOI = {10.1007/978-3-319-08377-3_2}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-3-319-08377-3_2}, } @article {MR2472421, AUTHOR = {Yan, S. and Liu, J. and Tang, X. and Huang, T.S.}, TITLE = {Formulating face verification with semidefinite programming}, JOURNAL = {IEEE Trans. Image Process.}, FJOURNAL = {IEEE Transactions on Image Processing}, VOLUME = {16}, YEAR = {2007}, NUMBER = {11}, PAGES = {2802--2810}, ISSN = {1057-7149}, MRCLASS = {68T10 (68T45 90C22)}, MRNUMBER = {2472421}, DOI = {10.1109/TIP.2007.906271}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1109/TIP.2007.906271}, } %%%%%%%%%%%%%%%%%%%%%from Hao Hu May/21 @article{li2015graph, title={Graph partitioning via parallel submodular approximation to accelerate distributed machine learning}, author={Li, M. and Andersen, D. G. and Smola, A. J.}, journal={arXiv preprint arXiv:1505.04636}, year={2015} } @article{pirim2012clustering, title={Clustering of high throughput gene expression data}, author={Pirim, H. and Ek{\c{s}}io{\u{g}}lu, B. and Perkins, A. D. and Y{\"u}ceer, {\c{C}}.}, journal={Computers \& operations research}, volume={39}, number={12}, pages={3046--3061}, year={2012}, publisher={Elsevier} } @incollection{boisvert1997matrix, title={Matrix market: a web resource for test matrix collections}, author={Boisvert, R. F. and Pozo, R. and Remington, K. and Barrett, R. F. and Dongarra, J. J.}, booktitle={Quality of Numerical Software}, pages={125--137}, year={1997}, publisher={Springer} } @misc{color02, title = {{COLOR02/03/04}: Graph Coloring and its Generalizations}, author = {D. S. Johnson and A. Mehrotra and M. A. Trick}, year = {2002}, url={https://mat.tepper.cmu.edu/COLOR04/} } @misc{kungurtsev2018two, title={A Two-Step Pre-Processing for Semidefinite Programming}, author={V. Kungurtsev and J. Marecek}, year={2020}, eprint={1806.10868}, archivePrefix={arXiv}, primaryClass={math.OC} } @article{hu2019solving, title={On solving the quadratic shortest path problem}, author={Hu, H. and Sotirov, R.}, journal={INFORMS Journal on Computing}, year={2019}, publisher={INFORMS} } # # 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 = "{E}uclidean 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 = "L. Hogben", Publisher="CRC Press", pages = {51-1--51-13}, ADDRESS = {Bacon Raton, Fl}, note = "2008 Choice Magazine Outstanding Academic Title", URL = "www.crcpress.com/shopping\_cart/products/product\_detail.asp?sku=C5106\&parent\_id=\&pc=", year = "2007" } @incollection{Wolknonlinassign:99, author = "H. Wolkowicz", TITLE = {Semidefinite programming approaches to the quadratic assignment problem}, BOOKTITLE = {Nonlinear assignment problems}, SERIES = {Comb. Optim.}, VOLUME = {7}, PAGES = {143--174}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Dordrecht}, YEAR = {2000}, MRCLASS = {90C27 (90C22)}, MRNUMBER = {MR1893727}, } @incollection{AlWo:99, author = "A.Y. Alfakih and H. Wolkowicz", TITLE = {Matrix completion problems}, BOOKTITLE = {Handbook of semidefinite programming}, SERIES = {Internat. Ser. Oper. Res. Management Sci.}, VOLUME = {27}, PAGES = {533--545}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Boston, MA}, YEAR = {2000}, MRCLASS = {90C22 (65F30)}, MRNUMBER = {MR1778240}, } @incollection{NeWoYe:99, author = "Y.E. Nesterov and H. Wolkowicz and Y. Ye", TITLE = {Semidefinite programming relaxations of nonconvex quadratic optimization}, BOOKTITLE = {Handbook of semidefinite programming}, SERIES = {Internat. Ser. Oper. Res. Management Sci.}, VOLUME = {27}, PAGES = {361--419}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Boston, MA}, YEAR = {2000}, MRCLASS = {90C22 (90C26)}, MRNUMBER = {MR1778235}, } @incollection{KrukWolk:99, author = "S. Kruk and H. Wolkowicz", TITLE = {Sequential, quadratic constrained, quadratic programming for general nonlinear programming}, BOOKTITLE = {Handbook of semidefinite programming}, SERIES = {Internat. Ser. Oper. Res. Management Sci.}, VOLUME = {27}, PAGES = {563--575}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Boston, MA}, YEAR = {2000}, MRCLASS = {90C22 (90C55)}, MRNUMBER = {MR1778242}, } @incollection{wolkcamb:99, author = "H. Wolkowicz", title = "Semidefinite and {L}agrangian Relaxations for hard combinatorial problems", booktitle = "Proceedings of 19th IFIP TC7 Conference on System Modelling and Optimization, July, 1999, Cambridge", editor = "M.J.D. Powell", Publisher="Kluwer Academic Publishers", ADDRESS = {Boston, MA}, pages = {269-309}, year = "2000" } @incollection{Wolkapplhand:99, author = "H. Wolkowicz", title = "Semidefinite Programming", booktitle = "Handbook of Applied Optimization", editor = "P.M. Pardalos and M.G.C. Resende", Publisher="Oxford University Press, New York", ISBN = {0-19-512594-0}, year = "2002", pages = {40-50}, } @incollection{wolk:98, author="H. Wolkowicz", title = "Duality for Semidefinite Programming", institution="University of Waterloo", type="Research Report", booktitle="Encyclopedia of Optimization", publisher="Kluwer Academic Publishers", ADDRESS = {Boston, MA}, pages = "", year="2001", } # 333333 PAPERS in REFEREED JOURNALS ############################### # start of journal ... PAPERS ############################### ###2022########################## @techreport{ImWolk:22, title = "Lack of Strict Feasibility in Linear Programs", author = "J. Im and H. Wolkowicz", institution="University of Waterloo", note = "15 pages, research report", address = "Waterloo, Ontario", year="2022", } @techreport{CensorMoursiWeamsWolk:22, title = "Best Approximation, Superiorization, and Applications", author = "Y. Censor and and W. Moursi and T. Weams and H. Wolkowicz", institution="University of Waterloo", note = "27 pages, research report", address = "Waterloo, Ontario", year="2022", } ###2021########################## @article{ImWolk:21, title = "A Strengthened {B}arvinok-{P}ataki Bound on {SDP} Rank", author = "J. Im and H. Wolkowicz", journal = "Oper. Res. Lett.", volume = "49", pages = "837-841", number = "6", institution="University of Waterloo", note = "11 pages, accepted Aug. 2021", address = "Waterloo, Ontario", year="2021", } @article{hu2021robust, title={Robust Interior Point Method for Quantum Key Distribution Rate Computation}, author={H. Hu and J. Im and J. Lin and N. L\"utkenhaus and H. Wolkowicz}, eprint={2104.03847}, archivePrefix={arXiv}, journal = {{Quantum}}, volume = {6}, pages = {792--840}, DOI = {https://doi.org/10.22331/q-2022-09-08-792}, url = {https://quantum-journal.org/papers/q-2022-09-08-792/}, year = {2022}, primaryClass={quant-ph} } @techreport{HuImLiWo:21, title={A Semismooth {N}ewton-Type Method for the Nearest Doubly Stochastic Matrix Problem}, author={H. Hu and J. Im and X. Li and H. Wolkowicz}, year={2021}, } @techreport{GHKW:21, title = "{SDP} Relaxations and {ADMM} for Power Flow Problems", author = "B. Ghaddar and H. Hu and O. Kuryatnikova and H. Wolkowicz", institution="University of Waterloo", note = "45 pages, research report", address = "Waterloo, Ontario", year="2021", } ###2020########################## @misc{BurkImWolk:20, title={A {P}eaceman-{R}achford Splitting Method for the Protein Side-Chain Positioning Problem}, author={F. Burkowski and J. Im and H. Wolkowicz}, year={2021}, eprint={2009.01450}, archivePrefix={arXiv}, primaryClass={math.OC} } ###2019########################## @article{LiPongWolk:19, author = "X. Li and T.K. Pong and H. Sun and H. Wolkowicz", TITLE = {A strictly contractive {P}eaceman-{R}achford splitting method for the doubly nonnegative relaxation of the minimum cut problem}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {78}, YEAR = {2021}, NUMBER = {3}, PAGES = {853--891}, ISSN = {0926-6003}, MRCLASS = {90C22 (05C70 90C25 90C27 90C59)}, MRNUMBER = {4221619}, DOI = {10.1007/s10589-020-00261-4}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-020-00261-4}, } @article{HSW:19, title={Facial Reduction for Symmetry Reduced Semidefinite Programs}, author={H. Hu and R. Sotirov and H. Wolkowicz}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, year={2022}, note = {revision Oct. 2020; accepted Sept. 2022}, eprint={1912.10245}, archivePrefix={arXiv}, primaryClass={math.OC} } ###2018########################## @techreport{HSWWb:18, title = "Finding a ``nice'' principal submatrix'', completions", author = "H. Hu and S. Sremac and H.J. Woerdeman and H. Wolkowicz", institution="University of Waterloo", note = "16 pages, research report", address = "Waterloo, Ontario", year="2019", } @article{GHILW:20, title = "A Restricted Dual Peaceman-Rachford Splitting Method for a Strengthened DNN Relaxation for QAP", author = "N. Graham and H. Hu and J. Im and X. Li and H. Wolkowicz", journal = "INFORMS J. Comput.", volume = "", pages = "", institution="University of Waterloo", note = "29 pages, accepted Sept. 2021", address = "Waterloo, Ontario", year="2021", } ###2017########################## @article{SreWangWolk:17, title = "Noisy {E}uclidean Distance Matrix Completion with a Single Missing Node", author = "L. Pattersson and S. Sremac and F. Wang and H. Wolkowicz", institution="University of Waterloo", journal = jogo, volume = "75", number = "", pages = "973--1002", year="2019", } @article{FLWW:17, title = "Parametric convex quadratic Relaxation of the Quadratic Knapsack Problem", author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz", institution="University of Waterloo", note = "submitted 2017, 34 pages; EJOR Editors Choice Articles, January 2020", address = "Waterloo, Ontario", journal = "European Journal of Operational Research", volume = "281", number = "1", pages = "36--49", year="2020", } @proceedings {FLWW:18, title = "Extending cover inequalities for the quadratic knapsack problem to relaxations in lifted space", author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz", institution="University of Waterloo", note = "34 pages, research report, , CLAIO", Series = "The Latin-Iberoamerican Conference on Operations Research", address = "Waterloo, Ontario", year="2018", } @article{SWW:17, author={S. Sremac and H.J. Woerdeman and H. Wolkowicz}, TITLE = {Error bounds and singularity degree in semidefinite programming}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {31}, YEAR = {2021}, NUMBER = {1}, PAGES = {812--836}, ISSN = {1052-6234}, MRCLASS = {90C22 (90C25)}, MRNUMBER = {4227005}, DOI = {10.1137/19M1289327}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/19M1289327}, } @misc{SWW:17b, title={Complete Facial Reduction in One Step for Spectrahedra}, author = "S. Sremac and H.J. Woerdeman and H. Wolkowicz", eprint={1710.07410}, archivePrefix={arXiv}, note = {1710.07410, arXiv}, primaryClass={math.OC}, year={2017} } @Incollection{SWWb:17, author="Sremac, S. and Woerdeman, H.J. and Wolkowicz, H.", title="Maximum determinant positive definite {T}oeplitz completions", bookTitle="Operator Theory, Analysis and the State Space Approach: In Honor of Rien Kaashoek", year="2018", volume = "271", publisher="Birkh{\"a}user/Springer", address="Cham", pages="421--441", abstract="We consider partial symmetric Toeplitz matrices where a positive definite completion exists. We characterize those patterns where the maximum determinant completion is itself Toeplitz. We then extend these results with positive definite replaced by positive semidefinite, and maximum determinant replaced by maximum rank. These results are used to determine the singularity degree of a family of semidefinite optimization problems.", isbn="978-3-030-04269-1", doi="10.1007/978-3-030-04269-1_17", url="https://doi.org/10.1007/978-3-030-04269-1_17" } @inproceedings{RWWradicalideal:17, title = "An {SDP}-based method for the real radical ideal membership test", author = "G. Reid and F. Wang and H. Wolkowicz", editors="Tudor Jebelean, Viorel Negru, Tetsuo Ida, Dana Petcu, Stephen Watt, Daniela Zaharie", Series = "SYNASC2017, International Symposium on Symbolic and Numeric Algorithms for Scientific Computing", year="2017" } @techreport{NeWoXia:17, title = "Completely positive Low-Rank Matrix Completion using Nuclear Norm with Facial Reduction", author = "Y. Nesterov and H. Wolkowicz and Y. Xia", institution="University of Waterloo", note = "in progress", address = "Waterloo, Ontario", year="2017", } @article{MPWWW:17, author="Ma, S. and Wang, F. and Wei, L. and Wolkowicz, H.", title="Robust principal component analysis using facial reduction", journal="Optimization and Engineering", year="2019", month="Nov", day="27", abstract="We introduce a novel approach for robust principal component analysis (RPCA) for a partially observed data matrix. The aim is to recover the data matrix as a sum of a low-rank matrix and a sparse matrix so as to eliminate erratic noise (outliers). This problem is known to be NP-hard in general. A classical approach to solving RPCA is to consider convex relaxations. One such heuristic involves the minimization of the (weighted) sum of a nuclear norm part, that promotes a low-rank component, with an {\$}{\$}{\backslash}ell {\_}1{\$}{\$}â„“1 norm part, to promote a sparse component. This results in a well-structured convex problem that can be efficiently solved by modern first-order methods. However, first-order methods often yield low accuracy solutions. Moreover, the heuristic of using a norm consisting of a weighted sum of norms may lose some of the advantages that each norm had when used separately. In this paper, we propose a novel nonconvex and nonsmooth reformulation of the original NP-hard RPCA model. The new model adds a redundant semidefinite cone constraint and solves small subproblems using a PALM algorithm. Each subproblem results in an exposing vector for a facial reduction technique that is able to reduce the size significantly. This makes the problem amenable to efficient algorithms in order to obtain high-level accuracy. We include numerical results that confirm the efficacy of our approach.", issn="1573-2924", doi="10.1007/s11081-019-09476-9", url="https://doi.org/10.1007/s11081-019-09476-9" } @techreport{DrusSremWolk:17, author = "D. Drusvyatskiy and S. Sremac and H. Wolkowicz", title = "Three views of facial reduction in cone optimization", institution="University of Waterloo", note = "survey in progress", address = "Waterloo, Ontario", year="2017", } \usepackage{textcomp} \textregistered\textcopyright \sffamily\textregistered\textcopyright @article{DrusWolk:16, author = "D. Drusvyatskiy and H. Wolkowicz", title = "The many faces of degeneracy in conic optimization", journal = "Foundations and Trends\textsuperscript{\tiny\textregistered} in Optimization", institution="University of Waterloo", volume = "3", number = "2", address = "Waterloo, Ontario", pages = "77-170", url = {https://books.google.ca/books/about/The_Many_Faces_of_Degeneracy_in_Conic_Op.html?id=VgnZvQEACAAJ&redir_esc=y}, DOI = {http://dx.doi.org/10.1561/2400000011}, issn = {2167-3888}, year="2017", } ###2016########################## @techreport{IanDavidsonWolk:16, author = "I. Davidson and H. Wolkowicz", title = "Rank restricted semidefinite matrices and image closedness", institution="University of Waterloo", note = "submitted", pages = "1-12", address = "Waterloo, Ontario", year="2016", } @misc{Wolktalkdimacs:16, author = "H. Wolkowicz", note = "Based on survey paper: The many faces of degeneracy in conic optimization, (with D. Drusvyatskiy)", title = "Tutorial: Facial Reduction in Cone Optimization with Applications to Matrix Completions, at: DIMACS Workshop on Distance Geometry: Theory and Applications", address = "DIMACS, NJ", year="2016", } @article {HuangWolkXYe:16, author = "S. Huang and H. Wolkowicz", title = "Low-Rank Matrix Completion using Nuclear Norm with Facial Reduction", institution="University of Waterloo", volume = "72", number = "1", journal = jogo, address = "Waterloo, Ontario", DOI = {doi.org/10.1007/s10898-017-0590-1}, pages = "5--26", year="2018", } ###YEAR 2015########################## @article{SalahiTaatiWolk:15, author = "M. Salahi and A. Taati and H. Wolkowicz", TITLE = {Local nonglobal minima for solving large-scale extended trust-region subproblems}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {66}, YEAR = {2017}, NUMBER = {2}, note = "submitted Dec. 23, 2015, 25 pages, accepted to COAP Aug. 20, 2016, 25 pages, online Sept. 2016, doi:10.1007/s10589-016-9867-4", PAGES = {223--244}, ISSN = {0926-6003}, MRCLASS = {90C26 (65K05 90C30 90C46)}, MRNUMBER = {3604052}, DOI = {10.1007/s10589-016-9867-4}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-016-9867-4}, } @article {OliveiraWolkXu:15, author = "D.E. Oliveira and H. Wolkowicz and Y. Xu", title = "{ADMM} for the {SDP} relaxation of the {QAP}", JOURNAL = {Math. Program. Comput.}, FJOURNAL = {Mathematical Programming Computation}, pages = "631-658", volume = "10", number = "4", year="2018" } @techreport{TangWolk:17, author = "Z. Tang and H. Wolkowicz", title = "{ADMM} for the second lifting {SDP} relaxation of {MC}", institution="University of Waterloo", note = "in progress", address = "Waterloo, Ontario", year="2017", } @inproceedings{BoBurkWolk:16, author = "X-B Li and F. Burkowski and H. Wolkowicz", title = "Semidefinite Facial Reduction and Rigid Cluster Interpolation in Protein Structure Elastic Network Models", institution="University of Waterloo", note = "submitted for refereed conference, Dec. 1, 2016, 10 pages, unpublished", address = "Waterloo, Ontario", Series = "IEEE BIBM 2016", year="2016", } @inproceedings{BoBurkWolktwo:16, author = "X-B Li and F. Burkowski and H. Wolkowicz", title = "Semidefinite facial reduction and rigid cluster elastic network interpolation of protein structures", institution="University of Waterloo", address = "Waterloo, Ontario", Series = "IEEE International Conference on Bioinformatics and Biomedicine (BIBM), IEEE Xplore, January 19, 2017", year="2017", DOI = {0.1109/BIBM.2016.7822506}, } @techreport{BoBurkWolk:15, author = "X-B Li and F. Burkowski and H. Wolkowicz", title = "Protein Structure Normal Mode Analysis on the Positive Semidefinite Matrix Manifold", institution="University of Waterloo", note = "submitted Nov. 1, 2015, 10 pages", address = "Waterloo, Ontario", year="2015", } ###2014########################## @techreport{ChWosensit:14, author = "Y.-L. Cheung and H. Wolkowicz", title = "Sensitivity analysis of semidefinite programs without strong duality", institution="University of Waterloo", note = "submitted June 2014, 37 pages", address = "Waterloo, Ontario", year="2014", } @techreport{RWWW:14, title = "Facial Reduction and {SDP} Methods for Systems of Polynomial Equations", author = " G. Reid and F. Wang and H. Wolkowicz and W. Wu", institution="University of Western Ontario", note = "submitted Dec. 2014, 38 pages", address = "London, Ontario", year="2014", } @article{RWW:17, author = " G. Reid and F. Wang and H. Wolkowicz", title = {Finding Maximum Rank Moment Matrices by Facial Reduction on Primal Form and {D}ouglas-{R}achford Iteration}, journal = {ACM Commun. Comput. Algebra}, issue_date = {March 2017}, volume = {51}, number = {1}, month = may, note = "submitted Dec. 2014, 38 pages", year = {2017}, issn = {1932-2240}, pages = {35--37}, numpages = {3}, url = {http://doi.acm.org/10.1145/3096730.3096740}, doi = {10.1145/3096730.3096740}, acmid = {3096740}, publisher = {ACM}, address = {New York, NY, USA}, } @article{ChDrLiPeWomatrixrepr:14, author = "D. Drusvyatskiy and C.-K. Li and Y.-L. Cheung Voronin and D.C. Pelejo and H. Wolkowicz", TITLE = {Projection methods for quantum channel construction}, JOURNAL = {Quantum Inf. Process.}, FJOURNAL = {Quantum Information Processing}, VOLUME = {14}, YEAR = {2015}, NUMBER = {8}, PAGES = {3075--3096}, ISSN = {1570-0755}, MRCLASS = {81P45}, MRNUMBER = {3370697}, DOI = {10.1007/s11128-015-1024-y}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11128-015-1024-y}, } @article{ChDrLiPeWo:14, author = "Y.-L. Cheung and D. Drusvyatskiy and C.-K. Li and D.C. Pelejo and H. Wolkowicz", title = "Projection methods in quantum information science", institution="University of Waterloo", note = "submitted July. 2014, 15 pages, under revision Oct. 2014", address = "Waterloo, Ontario", journal = "Quantum Information Processing", pages = "3075-3095", volume = "14", number = "8", year="2015", } @article{DrusLiWolk:14, author = "D. Drusvyatskiy and G. Li and H. Wolkowicz", TITLE = {A note on alternating projections for ill-posed semidefinite feasibility problems}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {162}, YEAR = {2017}, NUMBER = {1-2, Ser. A}, PAGES = {537--548}, ISSN = {0025-5610}, MRCLASS = {90C22 (47J25 65J15)}, MRNUMBER = {3612949}, DOI = {10.1007/s10107-016-1048-9}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-016-1048-9}, } @article{DrVaWo:14, author = "D. Drusvyatskiy and S.A. Vavasis and H. Wolkowicz", TITLE = {Extreme point inequalities and geometry of the rank sparsity ball}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Optimization Society}, VOLUME = {152}, YEAR = {2015}, NUMBER = {1-2, Ser. A}, PAGES = {521--544}, ISSN = {0025-5610}, MRCLASS = {90C25 (47N10 68P30)}, MRNUMBER = {3369491}, DOI = {10.1007/s10107-014-0795-8}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-014-0795-8}, } @article{DrPaWo:14, author = "D. Drusvyatskiy and G. Pataki and H. Wolkowicz", TITLE = {Coordinate shadows of semidefinite and {E}uclidean distance matrices}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {25}, YEAR = {2015}, NUMBER = {2}, PAGES = {1160--1178}, ISSN = {1052-6234}, MRCLASS = {90C22 (52A99)}, MRNUMBER = {3357643}, MRREVIEWER = {Ning Ruan}, DOI = {10.1137/140968318}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/140968318}, } @article{HaoWangPongWolk:14, author = "T.K. Pong and H. Sun and N. Wang and H. Wolkowicz", TITLE = {Eigenvalue, quadratic programming, and semidefinite programming relaxations for a cut minimization problem}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {63}, YEAR = {2016}, NUMBER = {2}, PAGES = {333--364}, ISSN = {0926-6003}, MRCLASS = {05C35 (05C70 90C22 90C27 90C59)}, MRNUMBER = {3457444}, MRREVIEWER = {Sandra L. Arlinghaus}, DOI = {10.1007/s10589-015-9779-8}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-015-9779-8}, } @article{ChDrWo:14, author = "D. Drusvyatskiy and N. Krislock and Y-L. Cheung Voronin and H. Wolkowicz", title = "Noisy {E}uclidean distance realization: robust facial reduction and the {P}areto frontier", institution="University of Waterloo", publisher = {SIAM}, year = {2017}, journal = {SIAM Journal on Optimization}, volume = {27}, number = {4}, pages = {2301-2331}, address = "Waterloo, Ontario", } ############ YEAR 2013 @article{PongWolk:12, author = "T.K. Pong and H. Wolkowicz", TITLE = {The generalized trust region subproblem}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {58}, YEAR = {2014}, NUMBER = {2}, PAGES = {273--322}, ISSN = {0926-6003}, MRCLASS = {90C20 (90C26 90C55)}, MRNUMBER = {3201963}, DOI = {10.1007/s10589-013-9635-7}, URL = {http://dx.doi.org/10.1007/s10589-013-9635-7}, } @techreport{LinWolkowicz:13, author = "Lin, M-H. and Wolkowicz, H.", title = "A general Hua-type matrix equality and its applications", institution="University of Waterloo", note = "7 pages, submitted Jan. 2013", year="2013" } @article{LinWolkowiczHiro:13, author = "Lin, M-H. and Wolkowicz, H.", TITLE = {Hiroshima's theorem and matrix norm inequalities}, JOURNAL = {Acta Sci. Math. (Szeged)}, FJOURNAL = {Acta Universitatis Szegediensis. Acta Scientiarum Mathematicarum}, VOLUME = {81}, YEAR = {2015}, NUMBER = {1-2}, PAGES = {45--53}, ISSN = {0001-6969}, MRCLASS = {15A60 (47A30)}, MRNUMBER = {3381873}, MRREVIEWER = {Natalia Bebiano}, DOI = {10.14232/actasm-013-821-3}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.14232/actasm-013-821-3}, } ############ YEAR 2012 @techreport{Babakmanifold:12, author = "B. Alipanahi and N. Krislock and A. Ghodsi and H. Wolkowicz", title = "Large-Scale Manifold Learning by Semidefinite Facial Reduction", institution="University of Waterloo", URL = "http://hal.archives-ouvertes.fr/hal-00684488", note = "19pages", address = "Waterloo, Ontario", year="2012" } @incollection {Babakprotein:12, author = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and Wolkowicz, H. and Donaldson, L. and Li, M.}, affiliation = {David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada}, title = {Protein Structure by Semidefinite Facial Reduction}, booktitle = {Research in Computational Molecular Biology}, series = {Lecture Notes in Computer Science}, editor = {Chor, Benny}, publisher = {Springer Berlin / Heidelberg}, isbn = {978-3-642-29626-0}, keyword = {Computer Science}, pages = {1-11}, volume = {7262}, year = {2012} } @article {Alipanahi:2012, AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and Wolkowicz, H. and Donaldson, L. and Li, M.}, TITLE = {Determining protein structures from {NOESY} distance constraints by semidefinite programming}, JOURNAL = {J. Comput. Biol.}, FJOURNAL = {Journal of Computational Biology}, VOLUME = {20}, YEAR = {2013}, NUMBER = {4}, PAGES = {296--310}, ISSN = {1066-5277}, MRCLASS = {92D20 (90C22)}, MRNUMBER = {3042029}, DOI = {10.1089/cmb.2012.0089}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089}, } @conference{Babaketal:12, title="Protein Structure by Semidefinite Facial Reduction", author = "B. Alipanahi and N. Krislock and A. Ghodsi and H. Wolkowicz and L. Donaldson and M. Li", institution="University of Waterloo", note="poster session at RECOMB2012", booktitle="URL: recomb2012.crg.cat", address = "Waterloo, Ontario", URL = {http://compbio.cs.sfu.ca/recomb2011}, year="2012" } ############ YEAR 2011 @article{MingW:11, author = "Lin, M-H. and Wolkowicz, H.", TITLE = {An eigenvalue majorization inequality for positive semidefinite block matrices}, JOURNAL = {Linear Multilinear Algebra}, FJOURNAL = {Linear and Multilinear Algebra}, VOLUME = {60}, YEAR = {2012}, NUMBER = {11-12}, PAGES = {1365--1368}, ISSN = {0308-1087}, MRCLASS = {15A42}, MRNUMBER = {2989768}, MRREVIEWER = {Xiao-Dong Zhang}, DOI = {10.1080/03081087.2011.651723}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/03081087.2011.651723}, } @inproceedings{ScTuWonumeric:07, author = "Cheung, Y-L. and Schurr, S. and Wolkowicz, H.", editor = "Bailey, D.H. and Bauschke, H.H. and Borwein, P. and Garvan, F. and Thera, M. and Vanderwerff, J. and Wolkowicz, H.", title = "Preprocessing and Regularization for Degenerate Semidefinite Programs", booktitle = {Computational and {A}nalytical {M}athematics, {I}n {H}onor of {J}onathan {B}orwein's 60th {B}irthday}, publisher="Springer", VOLUME = {50}, Series = "Springer Proceedings in Mathematics \& Statistics", year="2013", ISBN = "978-1-4614-7620-7", URL = {http://www.optimization-online.org/DB_HTML/2011/02/2929.html}, pages = "225-276", } @incollection {MR3108430, AUTHOR = {Cheung, Y-L and Schurr, S. and Wolkowicz, H.}, TITLE = {Preprocessing and regularization for degenerate semidefinite programs}, BOOKTITLE = {Computational and analytical mathematics}, SERIES = {Springer Proc. Math. Stat.}, VOLUME = {50}, PAGES = {251--303}, PUBLISHER = {Springer, New York}, YEAR = {2013}, MRCLASS = {90C22 (90C46)}, MRNUMBER = {3108430}, MRREVIEWER = {Sorin-Mihai Grad}, DOI = {10.1007/978-1-4614-7621-4_12}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-7621-4_12}, } @article {MR3070089, AUTHOR = {Bauschke, H.H. and T.M. and Wolkowicz, H.}, TITLE = {Preface [{S}pecial issue: {C}omputational and analytical mathematics]}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {139}, YEAR = {2013}, NUMBER = {1-2, Ser. B}, PAGES = {1--3}, ISSN = {0025-5610}, MRCLASS = {90-06 (49-06)}, MRNUMBER = {3070089}, DOI = {10.1007/s10107-013-0656-x}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-013-0656-x}, } @book{comanalmathbailbortherawolk:13, editor = "Bailey, D.H. and Bauschke, H.H. and Borwein, P. and Garvan, F. and Thera, M. and Vanderwerff, J. and Wolkowicz, H.", title = "Preprocessing and Regularization for Degenerate Semidefinite Programs", booktitle = {Computational and {A}nalytical {M}athematics, {I}n {H}onor of {J}onathan {B}orwein's 60th {B}irthday}, publisher="Springer", VOLUME = {50}, Series = "Springer Proceedings in Mathematics \& Statistics", year="2013", ISBN = "978-1-4614-7620-7", URL = {http://www.optimization-online.org/DB_HTML/2011/02/2929.html}, pages = "225-276", } @book{companalymathBTW:13, TITLE = {Computational and Analytical Mathematics}, EDITOR = "H.H. Bauschke, M. Théra, H. Wolkowicz", NOTE = {Special issue in honour of Jon Borwein''s 60th birthday, Math. Programming {\bf 139} (2013), no. 1-2}, PUBLISHER = {Springer}, ADDRESS = {}, YEAR = {2013}, PAGES = {}, } @conference{Babaketal:11, title="{SPROS}: An {SDP}-Based Protein Structure Determination from {NMR} Data", author = "B. Alipanahi and N. Krislock and A. Ghodsi and H. Wolkowicz and L. Donaldson and M. Li", institution="University of Waterloo", note="poster session at RECOMB2011", booktitle="URL: compbio.cs.sfu.ca/recomb2011", address = "Waterloo, Ontario", URL = {http://compbio.cs.sfu.ca/recomb2011}, year="2011" } @article {MR3042029, AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and Wolkowicz, H. and Donaldson, L. and Li, M.}, TITLE = {Determining protein structures from {NOESY} distance constraints by semidefinite programming}, JOURNAL = {J. Comput. Biol.}, FJOURNAL = {Journal of Computational Biology}, VOLUME = {20}, YEAR = {2013}, NUMBER = {4}, PAGES = {296--310}, ISSN = {1066-5277}, MRCLASS = {92D20 (90C22)}, MRNUMBER = {3042029}, DOI = {10.1089/cmb.2012.0089}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089}, } @techreport{DoanW:11, author = "Doan, X.V. and Wolkowicz, H.", title = "Numerical Computations and the $\omega$-Condition Number", institution="University of Waterloo", number="CORR 2011-03", note = "submitted in July, 2011, 19 pages", address="Waterloo, Ontario", year="2011" } @article{ForbesVrisWolk:11, author = "Burkowski, F. and Cheung, Y-L. and Wolkowicz, H.", TITLE = {Efficient use of semidefinite programming for selection of rotamers in protein conformations}, JOURNAL = {INFORMS J. Comput.}, FJOURNAL = {INFORMS Journal on Computing}, VOLUME = {26}, YEAR = {2014}, NUMBER = {4}, PAGES = {748--766}, ISSN = {1091-9856}, MRCLASS = {92D20 (90C22 90C90)}, MRNUMBER = {3265805}, DOI = {10.1287/ijoc.2014.0596}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/ijoc.2014.0596}, } ############ YEAR 2010 @article{KrukDoanW:10, author = "Doan, X.V. and Kruk, S. and Wolkowicz, H.", TITLE = {A robust algorithm for semidefinite programming}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {27}, YEAR = {2012}, NUMBER = {4-5}, PAGES = {667--693}, ISSN = {1055-6788}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {2946052}, MRREVIEWER = {Bogdan Dumitrescu}, DOI = {10.1080/10556788.2011.610456}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/10556788.2011.610456}, } @article{DingGeWolk:10, author = "Ding, Y. and Ge, D. and Wolkowicz, H.", TITLE = {On equivalence of semidefinite relaxations for quadratic matrix programming}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {36}, YEAR = {2011}, NUMBER = {1}, PAGES = {88--104}, ISSN = {0364-765X}, MRCLASS = {90C20 (90C22)}, MRNUMBER = {2799394}, 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; {E}uclidean 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.Y. Alfakih and M.F. Anjos and V. Piccialli and H. Wolkowicz", title = "{E}uclidean 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", } @article {DiKrQiWo:08, author = "Ding, Y. and Krislock, N. and Qian, J. and Wolkowicz, H.", TITLE = {Sensor network localization, {E}uclidean distance matrix completions, and graph realization}, JOURNAL = {Optim. Eng.}, booktitle = {Optimization and Engineering. International Multidisciplinary Journal to Promote Optimization Theory \& Applications in Engineering Sciences}, VOLUME = {11}, YEAR = {2010}, NUMBER = {1}, PAGES = {45--66}, ISSN = {1389-4420}, MRCLASS = {90B10 (90B80 90C22)}, MRNUMBER = {2601732 (2011b:90012)}, MRREVIEWER = {Ning Ruan}, DOI = {10.1007/s11081-008-9072-0}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11081-008-9072-0}, } @inproceedings{DiKrQiWo:06, author = "Ding, Y. and Krislock, N. and Qian, J. and Wolkowicz, H.", TITLE = {Sensor network localization, {E}uclidean distance matrix completions, and graph realization}, journal = {ACM}, booktitle = {{MELT'08}: Proceedings of the First {ACM} International Workshop on Mobile Entity Localization and Tracking in {GPS}-less Environments}, YEAR = {2008}, PAGES = {129--134}, } ############ YEAR 2007 ############ YEAR 2006 @inproceedings{AnDeHaGrWeWolk:06, author= "M.F. Anjos and M. Desroches and A. Haque and O. Grodzevich and H. Wei and H. Wolkowicz", TITLE = {Multi-Stage Investment Decision under Contingent Demand for Networking Planning}, BOOKTITLE = {Proceedings of the 2006 IEEE GLOBECOM Conference in San Francisco}, PAGES = {1--5 }, PUBLISHER = {}, ADDRESS = { }, URL = {http://www.ieee-globecom.org/2006/}, YEAR = {2007}, } @article{PoTuWo:06, author = "Potaptchik, M. and Tun{\c{c}}el, L. and H. Wolkowicz", title = "Large Scale Portfolio Optimization with Piecewise Linear Transaction Costs", journal = "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.Y. Alfakih and H. Wolkowicz", title = "Necessary and Sufficient Trace Inequalities for {E}uclidean Distance Matrices", institution="University of Waterloo", address="Waterloo, Ontario", pages = "499--506", volume = "55", number = "5", journal = lama, year="2007", } @article{GroWo:05, author="O. Grodzevich and H. Wolkowicz", title = "Regularization Using a Parameterized Trust Region Subproblem", institution="University of Waterloo", number="1-2", address="Waterloo, Ontario", JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, pages = "193-220", volume = "116", year="2009", } ############ YEAR 2004 @article {GoWo:04, author="M. Gonzalez-Lima and H. Wei and H. Wolkowicz", TITLE = {A stable primal-dual approach for linear programming under nondegeneracy assumptions}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {44}, YEAR = {2009}, NUMBER = {2}, PAGES = {213--247}, ISSN = {0926-6003}, MRCLASS = {90C05 (90C51)}, MRNUMBER = {2556851 (2010i:90056)}, MRREVIEWER = {K. Zimmermann}, DOI = {10.1007/s10589-007-9157-2}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-007-9157-2}, } @article{homwolkA:04, author = "Al-Homidan, S. and H. Wolkowicz", TITLE = {Approximate and exact completion problems for {E}uclidean distance matrices using semidefinite programming}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {406}, YEAR = {2005}, PAGES = {109--141}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C22 (15Axx)}, MRNUMBER = {MR2156431}, } @article{WeiWolk:06, author = "H. Wei and H. Wolkowicz", TITLE = {Generating and measuring instances of hard semidefinite programs}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {125}, YEAR = {2010}, NUMBER = {1, Ser. A}, PAGES = {31--45}, ISSN = {0025-5610}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {2718693 (2011h:90105)}, MRREVIEWER = {Didier Henrion}, DOI = {10.1007/s10107-008-0256-3}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-008-0256-3}, } ############ YEAR 2003 @article{ScTuWolk:03, author = "L. Tun{\c{c}}el and H. Wolkowicz", TITLE = {Strengthened existence and uniqueness conditions for search directions in semidefinite programming}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {400}, YEAR = {2005}, PAGES = {31--60}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C22 (15A39)}, MRNUMBER = {MR2131915 (2006a:90070)}, MRREVIEWER = {Etienne de Klerk}, } ############ YEAR 2002 ############ YEAR 2001 @article{Wolk:01, author="H. Wolkowicz", TITLE = {Solving semidefinite programs using preconditioned conjugate gradients}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {19}, YEAR = {2004}, NUMBER = {6}, PAGES = {653--672}, ISSN = {1055-6788}, MRCLASS = {90C22 (90C52)}, MRNUMBER = {MR2102220 (2005h:90091)}, MRREVIEWER = {E. Alper Y{\i} ld{\i} r{\i} m}, } @article{AnjosWolk:01, author="M.F. Anjos and H. Wolkowicz", TITLE = {Geometry of semidefinite max-cut relaxations via matrix ranks}, NOTE = {New approaches for hard discrete optimization (Waterloo, ON, 2001)}, JOURNAL = {J. Comb. Optim.}, FJOURNAL = {Journal of Combinatorial Optimization}, VOLUME = {6}, YEAR = {2002}, NUMBER = {3}, PAGES = {237--270}, ISSN = {1382-6905}, MRCLASS = {90C27 (90C22)}, MRNUMBER = {MR1920210 (2003h:90057)}, MRREVIEWER = {Jos F. Sturm}, } @article{FortinWolk:03, author = "C. Fortin and H. Wolkowicz", TITLE = {The trust region subproblem and semidefinite programming}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {19}, YEAR = {2004}, NUMBER = {1}, PAGES = {41--67}, ISSN = {1055-6788}, MRCLASS = {90C22 (90-06)}, MRNUMBER = {MR2062235 (2005c:90065)}, MRREVIEWER = {Ya Xiang Yuan}, } @article{AlWo:01, author = "A.Y. Alfakih and H. Wolkowicz", TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale transform}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {340}, YEAR = {2002}, PAGES = {149--154}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {51K05 (15A48 52B35)}, MRNUMBER = {MR1869424 (2002i:51010)}, } ############ YEAR 2000 @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, M. F. and Wolkowicz, H.}, TITLE = {Strengthened semidefinite programming relaxations for the max-cut problem}, BOOKTITLE = {Advances in convex analysis and global optimization (Pythagorion, 2000)}, SERIES = {Nonconvex Optim. Appl.}, VOLUME = {54}, PAGES = {409--420}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Dordrecht}, YEAR = {2001}, MRCLASS = {90C22 (90C27 90C57)}, MRNUMBER = {MR1846167}, } ############ YEAR 1998 @article{AnChWoYu:98, author="K.M. Anstreicher and X. Chen and H. Wolkowicz and Y. Yuan", TITLE = {Strong duality for a trust-region type relaxation of the quadratic assignment problem}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {301}, YEAR = {1999}, NUMBER = {1-3}, PAGES = {121--136}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90Cxx}, MRNUMBER = {1 728 045} } @article{AnWo:98, author="K.M. Anstreicher and H. Wolkowicz", title = "On {L}agrangian relaxation of quadratic matrix constraints", journal = simax, volume = "22", number = "1", institution="University of Waterloo", address="Waterloo, Ontario", year="2000", pages = "41-55", } @article{KrMuReVaWo:98, author = " S. Kruk and M. Muramatsu and F. Rendl and R.J. Vanderbei and H. Wolkowicz", TITLE = {The {G}auss-{N}ewton direction in semidefinite programming}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods and Software}, VOLUME = {15}, YEAR = {2001}, NUMBER = {1}, PAGES = {1--28}, ISSN = {1055-6788}, CODEN = {OMSOE2}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {MR1891034 (2003b:90063)}, MRREVIEWER = {Marina Alex Epelman}, } @article{KrWo:98, AUTHOR = {Kruk, S. and Wolkowicz, H.}, TITLE = {Pseudolinear programming}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review}, VOLUME = {41}, YEAR = {1999}, NUMBER = {4}, PAGES = {795--805 (electronic)}, ISSN = {1095-7200}, MRCLASS = {90C08 (90C30)}, MRNUMBER = {2000f:90030}, } ############ YEAR 1997 @article{Wolk:image98, author="Wolkowicz, H.", title="Semidefiniteness of a sum: Problem Solution 19-5.5", journal="IMAGE, The Bulletin of ILAS", volume="20", year="1998", pages="30-31" } @article{AlKaWo:97, author = "A.Y. Alfakih and A. Khandani and H. Wolkowicz", TITLE = {Solving {E}uclidean distance matrix completion problems via semidefinite programming}, NOTE = {A tribute to Olvi Mangasarian}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {12}, YEAR = {1999}, NUMBER = {1-3}, PAGES = {13--30}, ISSN = {0926-6003}, CODEN = {CPPPEF}, MRCLASS = {90C22 (90C25)}, MRNUMBER = {2000e:90042}, MRREVR = {Christian Michelot}, } @inproceedings{KrWo:97, author="S. Kruk and H. Wolkowicz", TITLE = {{S}{Q}$^2${P}, sequential quadratic constrained quadratic programming}, BOOKTITLE = {Advances in {N}onlinear {P}rogramming (Beijing, 1996)}, PAGES = {177--204}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Dordrecht}, YEAR = {1998}, MRCLASS = {90C30 (65K05)}, MRNUMBER = {99f:90128}, } ############ YEAR 1996 @article{WoZh:96, author="H. Wolkowicz and Q. Zhao", TITLE = {Semidefinite programming relaxations for the graph partitioning problem}, NOTE = {Selected for the special Editors' Choice, Edition 1999}, JOURNAL = {Discrete Appl. Math.}, FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms, Optimization and Computer Science}, VOLUME = {96/97}, YEAR = {1999}, PAGES = {461--479}, ISSN = {0166-218X}, CODEN = {DAMADU}, MRCLASS = {90C35 (15A48 90C22)}, MRNUMBER = {1 724 735}, MRREVR = {Franz Rendl}, } } @article {KaReWoZh:94, AUTHOR = {Zhao, Q. and Karisch, S.E. and Rendl, F. and Wolkowicz, H.}, TITLE = {Semidefinite programming relaxations for the quadratic assignment problem}, NOTE = {{S}emidefinite {P}rogramming and {I}nterior-point {A}pproaches for {C}ombinatorial {O}ptimization {P}roblems (Fields Institute, Toronto, ON, 1996)}, JOURNAL = {J. Comb. Optim.}, FJOURNAL = {Journal of Combinatorial Optimization}, VOLUME = {2}, YEAR = {1998}, NUMBER = {1}, PAGES = {71--109}, ISSN = {1382-6905}, MRCLASS = {90C27 (90C26)}, MRNUMBER = {1616871}, MRREVIEWER = {Yin Zhang}, DOI = {10.1023/A:1009795911987}, URL = {https://doi.org/10.1023/A:1009795911987}, } ############ YEAR 1995 @article{JoKrWo:95, author = "C.R. Johnson and B. Kroschel and H. Wolkowicz", TITLE = {An interior-point method for approximate positive semidefinite completions}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {9}, YEAR = {1998}, NUMBER = {2}, PAGES = {175--190}, ISSN = {0926-6003}, CODEN = {CPPPEF}, MRCLASS = {90C25 (90C20)}, MRNUMBER = {99a:90154}, MRREVR = {Michael L. Dowling}, } @article{RaTuWo:95, author = "M.V. Ramana and L. Tun{\c{c}}el and H. Wolkowicz", TITLE = {Strong duality for semidefinite programming}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {7}, YEAR = {1997}, NUMBER = {3}, PAGES = {641--662}, ISSN = {1052-6234}, CODEN = {SJOPE8}, MRCLASS = {90C30 (49M35 49N15)}, MRNUMBER = {98m:90147}, MRREVR = {J.M. Borwein}, } @incollection{HePoReWo:95, author="C. Helmberg and S. Poljak and F. Rendl and H. Wolkowicz", TITLE = {Combining semidefinite and polyhedral relaxations for integer programs}, BOOKTITLE = {Integer {P}rogramming and {C}ombinatorial {O}ptimization (Copenhagen, 1995)}, PAGES = {124--134}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1995}, MRCLASS = {90C10 (90C27)}, MRNUMBER = {1 367 976}, } ############ YEAR 1994 @article{ReWo:94, author = "F. Rendl and H. Wolkowicz", TITLE = {A semidefinite framework for trust region subproblems with applications to large scale minimization}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {77}, YEAR = {1997}, NUMBER = {2, Ser. B}, PAGES = {273--299}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C20 (90C33)}, MRNUMBER = {98i:90063}, MRREVR = {M. Teboulle}, } @article {PoReWo:94, author = "S. Poljak and F. Rendl and H. Wolkowicz", TITLE = {A recipe for semidefinite relaxation for $(0,1)$-quadratic programming}, JOURNAL = {J. Global Optim.}, FJOURNAL = {Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering}, VOLUME = {7}, YEAR = {1995}, NUMBER = {1}, PAGES = {51--73}, ISSN = {0925-5001}, CODEN = {JGOPEO}, MRCLASS = {90C09 (90C27)}, MRNUMBER = {96d:90053}, MRREVR = {Paulo Barcia}, } @article {HeReVaWo:93, author = "C. Helmberg and F. Rendl and R.J. Vanderbei and H. Wolkowicz", TITLE = {An interior-point method for semidefinite programming}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {6}, YEAR = {1996}, NUMBER = {2}, PAGES = {342--361}, ISSN = {1052-6234}, CODEN = {SJOPE8}, MRCLASS = {90C30 (65K05 90C27)}, MRNUMBER = {97f:90086}, MRREVR = {Tam{\'a}s Terlaky}, } @incollection{prw:93, author="P. Pardalos and F. Rendl and H. Wolkowicz", TITLE = {The quadratic assignment problem: a survey and recent developments}, editor = "P.M. Pardalos and H. Wolkowicz", BOOKTITLE = {Quadratic assignment and related problems (New Brunswick, NJ, 1993)}, PAGES = {1--42}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1994}, MRCLASS = {90B80 (90C10 90C27)}, MRNUMBER = {95f:90040}, MRREVR = {Horst W. Hamacher}, } ############ YEAR 1993 @ARTICLE {FaReWo:92, author = "J. Falkner and F. Rendl and H. Wolkowicz", TITLE = {A computational study of graph partitioning}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {66}, YEAR = {1994}, NUMBER = {2, Ser. A}, PAGES = {211--239}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)}, MRNUMBER = {95h:90153}, MRREVR = {Yixun Lin}, } @article{sw5, author="R. Stern and H. Wolkowicz", TITLE = {Trust region problems and nonsymmetric eigenvalue perturbations}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {15}, YEAR = {1994}, NUMBER = {3}, PAGES = {755--778}, ISSN = {0895-4798}, CODEN = {SJMAEL}, MRCLASS = {15A18 (15A42 49R05)}, MRNUMBER = {95f:15009}, MRREVR = {Gerd M. Krause}, } @article{StWo:93, author="R. Stern and H. Wolkowicz", TITLE = {Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {5}, YEAR = {1995}, NUMBER = {2}, PAGES = {286--313}, ISSN = {1052-6234}, CODEN = {SJOPE8}, MRCLASS = {90C20 (65F15 65K05)}, MRNUMBER = {96h:90077}, MRREVR = {Panos M. Pardalos}, } @incollection{KaReWo:93, author="S.E. Karisch and F. Rendl and H. Wolkowicz", editors="P. Pardalos and H. Wolkowicz", TITLE = {Trust regions and relaxations for the quadratic assignment problem}, BOOKTITLE = {Quadratic assignment and related problems (New Brunswick, NJ, 1993)}, PAGES = {199--219}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1994}, MRCLASS = {90C20 (90C27)}, MRNUMBER = {95j:90053}, MRREVR = {Igor Litvinchev}, } @article{ReWo:90, author = "F. Rendl and H. Wolkowicz", TITLE = {A projection technique for partitioning the nodes of a graph}, NOTE = {Applied mathematical programming and modeling, II (APMOD 93) (Budapest, 1993)}, JOURNAL = {Ann. Oper. Res.}, FJOURNAL = {Annals of Operations Research}, VOLUME = {58}, YEAR = {1995}, PAGES = {155--179}, ISSN = {0254-5330}, MRCLASS = {90C35 (05C99)}, MRNUMBER = {96g:90096}, MRREVR = {Xue Liang Li}, } @article {PoWo:93, author = "S. Poljak and H. Wolkowicz", TITLE = {Convex relaxations of $(0,1)$-quadratic programming}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {20}, YEAR = {1995}, NUMBER = {3}, PAGES = {550--561}, ISSN = {0364-765X}, MRCLASS = {90C09 (90C20)}, MRNUMBER = {97b:90078}, } @article{w13, author="H. Wolkowicz", TITLE = {Measures for symmetric rank-one updates}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {19}, YEAR = {1994}, NUMBER = {4}, PAGES = {815--830}, ISSN = {0364-765X}, MRCLASS = {90C30 (65F05 65K05)}, MRNUMBER = {95h:90143}, } @article{WoZh:93, author="H. Wolkowicz and Q. Zhao", TITLE = {An all-inclusive efficient region of updates for least change secant methods}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {5}, YEAR = {1995}, NUMBER = {1}, PAGES = {172--191}, ISSN = {1052-6234}, CODEN = {SJOPE8}, MRCLASS = {90C30 (65K05)}, MRNUMBER = {95k:90096}, MRREVR = {Bernd Luderer}, } @article{Wolk:93, author="H. Wolkowicz", TITLE = {Explicit solutions for interval semidefinite linear programs}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {236}, YEAR = {1996}, PAGES = {95--104}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C26 (65G10 90C08)}, MRNUMBER = {96m:90058}, MRREVR = {Florian Jarre}, } @article {ReVaWo:93b, author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz", title = "Max-min eigenvalue problems, primal-dual interior point algorithms, and trust region subproblems", institution = "Department of Combinatorics and Optimization", year = "1995", pages = "1-16", volume = "5", journal = oms, address = "Waterloo, Ont"} @article{DeWo:90, author="J.E. {Dennis Jr.} and H. Wolkowicz", TITLE = {Sizing and least-change secant methods}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {30}, YEAR = {1993}, NUMBER = {5}, PAGES = {1291--1314}, ISSN = {0036-1429}, CODEN = {SJNAAM}, MRCLASS = {90C30 (49M37 65K05)}, MRNUMBER = {94g:90107}, } ############ YEAR 1992 @article{HaReWo:89, author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.", TITLE = {A new lower bound via projection for the quadratic assignment problem}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {17}, YEAR = {1992}, NUMBER = {3}, PAGES = {727--739}, ISSN = {0364-765X}, MRCLASS = {90C27 (90C20)}, MRNUMBER = {93i:90080}, MRREVR = {M. C. Puri}, } @article{hrw2, author="S.W. Hadley and F. Rendl and H. Wolkowicz", TITLE = {Symmetrization of nonsymmetric quadratic assignment problems and the {H}offman-{W}ielandt inequality}, NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {167}, YEAR = {1992}, PAGES = {53--64}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C27 (15A42 90B80)}, MRNUMBER = {93d:90050}, MRREVR = {Rainer Burkard}, } @article{jw2, author="Jeyakumar, V. and Wolkowicz, H.", TITLE = {Generalizations of {S}later's constraint qualification for infinite convex programs}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {57}, YEAR = {1992}, NUMBER = {1, Ser. B}, PAGES = {85--101}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C48 (49N15 90C25)}, MRNUMBER = {93e:90070}, MRREVR = {Doug Ward}, } @inproceedings{biw, author="Ben-Israel, A. and Wolkowicz, H.", title="A recursive volume reducing algorithm for semi-infinite linear programming", year="1992", booktitle="Systems and Management Science by Extremal Methods", publisher="Kluwer Academic Publishers", ADDRESS = {Boston, MA}, note="invited paper" } ############ YEAR 1991 ############ YEAR 1990 @inproceedings{hrw4, author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.", title="Bounds for the quadratic assignment problems using continuous optimization", year="1990", booktitle="Integer Programming and Combinatorial Optimization", publisher="University of Waterloo Press", pages="237-248", address="Waterloo, Ontario, Canada", editors="W.R. Pulleyblank and Ravi Kannan" } @article{jw1, author="Jeyakumar, V. and Wolkowicz, H.", TITLE = {Zero duality gaps in infinite-dimensional programming}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {67}, YEAR = {1990}, NUMBER = {1}, PAGES = {87--108}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {49N15 (90C48)}, MRNUMBER = {92a:49062}, MRREVR = {R. N. Kaul}, } @article{stw4, author="Stern, R.J. and Wolkowicz, H.", title="Results on invariant cones", journal=laa, note="Proceedings from the Haifa Matrix Theory Conference, June 1990", year="1991", volume="166", pages="1-26" } ############ YEAR 1989 @article{BeatsonWolk:89, author="R. Beatson and H. Wolkowicz", TITLE = {Post-processing piecewise cubics for monotonicity}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {26}, YEAR = {1989}, NUMBER = {2}, PAGES = {480--502}, ISSN = {0036-1429}, CODEN = {SJNAAM}, MRCLASS = {65D07 (41A05 41A25)}, MRNUMBER = {90i:65019}, MRREVR = {Zhen Xiang Xiong}, } @article{ReWo:89, author="Rendl, F. and Wolkowicz, H.", TITLE = {Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {53}, YEAR = {1992}, NUMBER = {1, Ser. A}, PAGES = {63--78}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C35 (90C20 90C30)}, MRNUMBER = {93c:90098}, MRREVR = {M. C. Puri}, } ############ YEAR 1988 @article{swz, author="Sutherland, W.R.S. and Wolkowicz, H. and Zeidan, V.", TITLE = {An explicit linear solution for the quadratic dynamic programming problem}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {58}, YEAR = {1988}, NUMBER = {2}, PAGES = {319--330}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {49C20 (49D40 90C39 93C55)}, MRNUMBER = {89e:49023}, } ############ YEAR 1987 @incollection{ws5, author="Wolkowicz, H. and Styan, G.P.H.", title= "{S}amuelson's Inequality", booktitle="Encyclopedia of Statistical Sciences", year="1987", editor=" S. Kotz and N. Johnson", publisher="Wiley-Interscience", Volume="8", note="invited paper" } @article{gjmw4, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {Normal matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {87}, YEAR = {1987}, PAGES = {213--225}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A57}, MRNUMBER = {88a:15045}, MRREVR = {L. Rodman}, } ############ YEAR 1986 @article{smw2, author="Smith, P.W. and Wolkowicz, H.", TITLE = {A nonlinear equation for linear programming}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {34}, YEAR = {1986}, NUMBER = {2}, PAGES = {235--238}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C05}, MRNUMBER = {87j:90082}, } @article{BoWo:86, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {A simple constraint qualification in infinite-dimensional programming}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {35}, YEAR = {1986}, NUMBER = {1}, PAGES = {83--96}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C48}, MRNUMBER = {87i:90321}, MRREVR = {W. W. Breckner}, } @article{gjmw3, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {A note on maximizing the permanent of a positive definite {H}ermitian matrix, given the eigenvalues}, JOURNAL = {Linear and Multilinear Algebra}, FJOURNAL = {Linear and Multilinear Algebra}, VOLUME = {19}, YEAR = {1986}, NUMBER = {4}, PAGES = {389--393}, ISSN = {0308-1087}, CODEN = {LNMLAZ}, MRCLASS = {15A15}, MRNUMBER = {88b:15006}, MRREVR = {H. Minc}, } ############ YEAR 1985 @article{mw, author="J. Merikoski and H. Wolkowicz", TITLE = {Improving eigenvalue bounds using extra bounds}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {68}, YEAR = {1985}, PAGES = {93--113}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A42 (65F15)}, MRNUMBER = {87e:15038}, } @article{lw, author="M. Lamoureux and H. Wolkowicz", TITLE = {Numerical decomposition of a convex function}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {47}, YEAR = {1985}, NUMBER = {1}, PAGES = {51--64}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {90C25 (26A51)}, MRNUMBER = {87a:90107}, MRREVR = {Jacques A. Ferland}, } @article{jkw, author="Johnson, C.R. and Kumar, R. and Wolkowicz, H.", TITLE = {Lower bounds for the spread of a matrix}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {71}, YEAR = {1985}, PAGES = {161--173}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A42}, MRNUMBER = {87a:15027}, MRREVR = {Thomas L. Markham}, } @article{bjw, author="Butler, G. and Johnson, C.R. and Wolkowicz, H.", TITLE = {Nonnegative solutions of a quadratic matrix equation arising from comparison theorems in ordinary differential equations}, JOURNAL = {SIAM J. Algebraic Discrete Methods}, FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on Algebraic and Discrete Methods}, VOLUME = {6}, YEAR = {1985}, NUMBER = {1}, PAGES = {47--53}, ISSN = {0196-5212}, CODEN = {STAMDU}, MRCLASS = {34C11 (15A48)}, MRNUMBER = {86f:34072}, MRREVR = {G. J. Etgen}, } ############ YEAR 1984 @article{smw1, author="Smith, P.W. and Wolkowicz, H.", TITLE = {Dimensionality of bi-infinite systems}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {57}, YEAR = {1984}, PAGES = {115--130}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A22 (15A21 15A54 41A05)}, MRNUMBER = {86c:15010}, } @article{gjmw2, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {Improving {H}adamard's inequality}, JOURNAL = {Linear and Multilinear Algebra}, FJOURNAL = {Linear and Multilinear Algebra}, VOLUME = {16}, YEAR = {1984}, NUMBER = {1-4}, PAGES = {305--322}, ISSN = {0308-1087}, CODEN = {LNMLAZ}, MRCLASS = {15A42 (15A15 15A45)}, MRNUMBER = {87b:15024}, } @article{GrJoSaWo:84, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {Positive definite completions of partial {H}ermitian matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {58}, YEAR = {1984}, PAGES = {109--124}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {05C50 (15A57)}, MRNUMBER = {85d:05169}, MRREVR = {Larry Basen{\v{s}}piler}, } @article{Grone, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {Positive definite completions of partial {H}ermitian matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {58}, YEAR = {1984}, PAGES = {109--124}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {05C50 (15A57)}, MRNUMBER = {85d:05169}, MRREVR = {Larry Basen{\v{s}}piler}, } ############ YEAR 1983 @article{msw, author="Merikoski, J. and Styan, G.P.H. and Wolkowicz, H.", TITLE = {Bounds for ratios of eigenvalues using traces}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {55}, YEAR = {1983}, PAGES = {105--124}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A42 (65F15)}, MRNUMBER = {85a:15019}, MRREVR = {Ludwig Elsner}, } @incollection{w5, author ="H. Wolkowicz", TITLE = {Optimality conditions and shadow prices}, BOOKTITLE = {Mathematical programming with data perturbations, II (Washington, D.C., 1980)}, PAGES = {49--63}, PUBLISHER = {Dekker}, ADDRESS = {New York}, YEAR = {1983}, MRCLASS = {90C25}, MRNUMBER = {85b:90056}, MRREVR = {J. E. Spingarn}, } @article{w4, author="H. Wolkowicz", TITLE = {Method of reduction in convex programming}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {40}, YEAR = {1983}, NUMBER = {3}, PAGES = {349--378}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {90C25}, MRNUMBER = {85d:90077}, MRREVR = {S. Zlobec}, } @article{w3, author="H. Wolkowicz", TITLE = {An optimality condition for a nondifferentiable convex program}, JOURNAL = {Naval Res. Logist. Quart.}, FJOURNAL = {Naval Research Logistics Quarterly}, VOLUME = {30}, YEAR = {1983}, NUMBER = {3}, PAGES = {415--418}, ISSN = {0028-1441}, CODEN = {NRLQAR}, MRCLASS = {90C25}, MRNUMBER = {85a:90181}, } ############ YEAR 1982 @article{bw4, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {Characterizations of optimality without constraint qualification for the abstract convex program}, NOTE = {Optimality and stability in mathematical programming}, JOURNAL = {Math. Programming Stud.}, FJOURNAL = {Mathematical Programming Study}, volume = {19}, YEAR = {1982}, PAGES = {77--100}, ISSN = {0303-3929}, CODEN = {MPSTDF}, MRCLASS = {90C25}, DOI = {10.1007/BFb0120983}, MRNUMBER = {83k:90083}, URL = {http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/q484808423l21876/} } ############ YEAR 1981 @article{w12, author="H. Wolkowicz", TITLE = {A strengthened test for optimality}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {35}, YEAR = {1981}, NUMBER = {4}, PAGES = {497--515}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {90C25}, MRNUMBER = {84d:90088}, MRREVR = {Szymon Dolecki}, } @article{bw1, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {Facial reduction for a cone-convex programming problem}, JOURNAL = {J. Austral. Math. Soc. Ser. A}, FJOURNAL = {Australian Mathematical Society. Journal. Series A}, VOLUME = {30}, YEAR = {1980/81}, NUMBER = {3}, PAGES = {369--380}, ISSN = {0263-6115}, CODEN = {JAMADS}, MRCLASS = {90C25}, MRNUMBER = {83b:90121}, MRREVR = {B. T. Polyak}, } @article{bw2, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {Characterization of optimality for the abstract convex program with finite-dimensional range}, JOURNAL = {J. Austral. Math. Soc. Ser. A}, FJOURNAL = {Australian Mathematical Society. Journal. Series A}, VOLUME = {30}, YEAR = {1980/81}, NUMBER = {4}, PAGES = {390--411}, ISSN = {0263-6115}, CODEN = {JAMADS}, MRCLASS = {90C48}, MRNUMBER = {83i:90156}, MRREVR = {R. L. Graves}, } @article{bw3, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {Regularizing the abstract convex program}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {83}, YEAR = {1981}, NUMBER = {2}, PAGES = {495--530}, ISSN = {0022-247X}, CODEN = {JMANAK}, MRCLASS = {90C48 (90C25)}, MRNUMBER = {83d:90236}, MRREVR = {S. Zlobec}, } @article{w11, author="H. Wolkowicz", TITLE = {Some applications of optimization in matrix theory}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {40}, YEAR = {1981}, PAGES = {101--118}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C25 (15A48 65K05 90C05)}, MRNUMBER = {84a:90067}, } @inproceedings{bw6, author="J.M. Borwein and H. Wolkowicz", title="Cone-convex programming stability and affine constraint functions", year="1981", booktitle="Generalized Concavity in Optimization and Economics", publisher="Academic Press", pages="379-397", note="invited paper", organization="NATO conference" } ############ YEAR 1980 @article{w8, author="H. Wolkowicz", TITLE = {Geometry of optimality conditions and constraint qualifications: the convex case}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {19}, YEAR = {1980}, NUMBER = {1}, PAGES = {32--60}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C25}, MRNUMBER = {83b:90130}, } @article{ws3, author="Wolkowicz, H. and Styan, G.P.H", title="A history of {S}amuelson's inequality", journal=amers, year="1980", volume="34", pages="250" } @article{w10, author="H. Wolkowicz", TITLE = {Shadow prices for an unstable convex program}, JOURNAL = {Utilitas Math.}, FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied Mathematics, Computer Science, and Statistics}, VOLUME = {18}, YEAR = {1980}, PAGES = {119--139}, ISSN = {0315-3681}, CODEN = {UTMADA}, MRCLASS = {90C25}, MRNUMBER = {82d:90100}, MRREVR = {Roger Hartley}, } @article{ws1, author="Wolkowicz, H. and Styan, G.P.H", TITLE = {More bounds for eigenvalues using traces}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {31}, YEAR = {1980}, PAGES = {1--17}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A18 (65F15)}, MRNUMBER = {81k:15016}, MRREVR = {J. Segethov{\'a}}, } @article{ws2, author="Wolkowicz, H. and Styan, G.P.H.", TITLE = {Bounds for eigenvalues using traces}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {29}, YEAR = {1980}, PAGES = {471--506}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A18}, MRNUMBER = {81k:15015}, MRREVR = {M. Shafqat Ali}, } @article{w2, author="H. Wolkowicz", TITLE = {Convex programs with equivalent duals}, JOURNAL = {Appl. Math. Notes}, FJOURNAL = {Applied Mathematics Notes}, VOLUME = {5}, YEAR = {1980}, NUMBER = {2}, PAGES = {45--62}, ISSN = {0700-9224}, MRCLASS = {90C25}, MRNUMBER = {81h:90121}, } ############ YEAR 1979 @article{ws4, author="Wolkowicz, H. and Styan, G.P.H.", TITLE = {Extensions of {S}amuelson's inequality}, JOURNAL = {Amer. Statist.}, FJOURNAL = {The American Statistician}, VOLUME = {33}, YEAR = {1979}, NUMBER = {3}, PAGES = {143--144}, ISSN = {0003-1305}, CODEN = {ASTAAJ}, MRCLASS = {62G30 (60E15)}, MRNUMBER = {80h:62038}, } @article{w1, author="H. Wolkowicz", TITLE = {Calculating the cone of directions of constancy}, JOURNAL = {J. Optim. Theory Appl.}, VOLUME = {25}, YEAR = {1978}, NUMBER = {3}, PAGES = {451--457}, MRCLASS = {90C25}, MRNUMBER = {58 #25996}, } @article{wz, author="Wolkowicz, H. and Zlobec, S.", TITLE = {Calculating the best approximate solution of an operator equation}, JOURNAL = {Math. Comp.}, VOLUME = {32}, YEAR = {1978}, NUMBER = {144}, PAGES = {1183--1213}, MRCLASS = {65J05 (47A50)}, MRNUMBER = {58 #13701}, MRREVR = {P. M. Anselone}, } @article{stw3, author="Stern, R.J. and H. Wolkowicz", TITLE = {A note on generalized invariant cones and the {K}ronecker canonical form}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {147}, YEAR = {1991}, PAGES = {97--100}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A22 (15A18 15A48)}, MRNUMBER = {92e:15018}, } @article{stw2, author="Stern, R.J. and Wolkowicz, H.", TITLE = {Exponential nonnegativity on the ice cream cone}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {12}, YEAR = {1991}, NUMBER = {1}, PAGES = {160--165}, ISSN = {0895-4798}, CODEN = {SJMAEL}, MRCLASS = {15A48}, MRNUMBER = {92j:15013}, MRREVR = {Raphael Loewy}, } @article{stw1, author="Stern, R.J. and Wolkowicz, H.", TITLE = {Invariant ellipsoidal cones}, BOOKTITLE = {Proceedings of the First Conference of the International Linear Algebra Society (Provo, UT, 1989)}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {150}, YEAR = {1991}, PAGES = {81--106}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A48}, MRNUMBER = {92h:15014}, MRREVR = {Raphael Loewy}, } ############ #### Problems and Solutions ###### %Refereed Problems and Solutions @article{Wolk:siam94, author="Wolkowicz, H.", title="Problem Solution 93-17", journal="SIAM Review", volume="36", number="4", year="1994", pages="657-659" } @article{jww, author="Johnson, C.R. and Wolkowicz, G. and Wolkowicz, H.", title= "Elem. Prob. E. 3234", journal=amerm, year="1987", volume="94", pages="877" } @article{bsw, author="Borwein, J.M. and Styan, G.P.H. and Wolkowicz, H.", title="Some inequalities involving statistical expressions", journal="SIAM Review", year="1982", volume="24", pages="340-342" } @article{w14, author="H. Wolkowicz", title="A constrained matrix optimization problem", journal="SIAM Review 23", year="1981", volume="101" } ############ #### THESES ###### @phdthesis{w15, author="H. Wolkowicz", title="Constructive approaches to approximate solutions of operator equations and convex programming", school="McGill University", year="1978" } @mastersthesis{w9, author="H. Wolkowicz", title= "Kantorovich's general theory of approximation methods", school="McGill University", year="1975", note="M.Sc. Thesis" } ############ #### Unpublished Research Reports... book reviews ... problems ... ###### @article{piccwolk:05, author="Piccialli, V. and Wolkowicz, H.", title= "Solution to Problem 34-6.1", journal="{IMAGE}-The Bulletin of the International Linear Algebra Society", year="2005", volume="35", pages="33-34" } @article{wolkieee:2006, author="H. Wolkowicz", title = "Book Review of: {O}ptimization: {I}nsights and {A}pplications, by {B}rinkhuis and {T}ikhomirov", journal="IEEE Control Systems Magazine", pages = "", year="2007", } @techreport{AlWo:98, author = "A.Y. Alfakih and H. Wolkowicz", title = "On the embeddability of weighted graphs in {E}uclidean spaces", institution = "University of Waterloo", number = "CORR 98-12", year = "1998", } @techreport{Wo:00, author = "A.Y. Alfakih and H. Wolkowicz", title = "A New Semidefinite Programming Model for Large Sparse {E}uclidean Distance Matrix Completion Problems", institution = "University of Waterloo", number = "CORR 2000-37", year = "2000", address = "Waterloo, Canada" } @techreport{CheungKrislWo:10, author = "Cheung, Y-L. and Krislock, N. and Wolkowicz, H.", title = "Facial Reduction for Compressive Sensing", institution="University of Waterloo", number="CORR 2010", note = "in progress", address="Waterloo, Ontario", year="2010" } @techreport{AnWo:99, author="M.F. Anjos and H. Wolkowicz", title = "A STRENGTHENED {SDP} RELAXATION via a SECOND LIFTING for the {M}AX-{C}UT PROBLEM", institution="University of Waterloo", number="CORR 99-55", note = "28 pages", address="Waterloo, Ontario", year="1999", } @techreport{GrKrReWo:98, author="G. Gruber and S. Kruk and F. Rendl and H. Wolkowicz", title = "Presolving for Semidefinite Programs Without Constraint Qualifications", institution="University of Waterloo", number="CORR 98-32", address="Waterloo, Ontario", year="1998", } @techreport{AnjosHighWolk:01, author="M.F. Anjos and N. Krislock and M. Takouda and H. Wolkowicz", title = "A semidefinite programming approach for the closest correlation matrix problem", institution="University of Waterloo", number="in progress", address="Waterloo, Ontario", year="2009", } @techreport{KrislockRendlWolk:10, author = "Krislock, N. and Rendl, F. and Wolkowicz, H.", title = "Noisy Sensor Network Localization using Semidefinite Representations and Facial Reduction", institution="University of Waterloo", number="CORR 2010-01, in progress", address="Waterloo, Ontario", year="2010" } @article {MR2295140forward, AUTHOR = { E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and S. Zhang }, TITLE = {Foreword: special issue on large-scale nonlinear and semidefinite programming}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {109}, YEAR = {2007}, NUMBER = {2-3, Ser. B}, PAGES = {207-209}, ISSN = {0025-5610}, MRCLASS = {90-06 (90C06 90C32)}, MRNUMBER = {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.Y. Alfakih and H. Wolkowicz", title = "{E}uclidean Distance Matrices and the Molecular Conformation Problem", institution="University of Waterloo", number="17", address="Waterloo, Ontario", year="2002" } @techreport{Wolk:02, author = "H. Wolkowicz", title = "Semidefinite Programming", institution="University of Waterloo", number="4", address="Waterloo, Ontario", year="2002" } @techreport{ReSoWo:02, author = "F. Rendl and R. Sotirov and H. Wolkowicz", title = "A Note on a Simplified {HKM} Direction for Special Classes of {SDP}", institution = "University of Waterloo", number = "CORR Report 2002-16", year = "2002", address = "Waterloo, Canada" } @techreport{KrPiWo:06, author = "Krislock, N. and Piccialli, V. and H. Wolkowicz", title = "Robust Semidefinite Programming Approaches for Sensor Network Localization with Anchors", institution="University of Waterloo", number="CORR 2006-12", note="URL:orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#sensorKPW", address="Waterloo, Ontario", year="2006" } @article {MR2295140, AUTHOR = { E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and S. Zhang }, TITLE = {Foreword: special issue on large-scale nonlinear and semidefinite programming}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {109}, YEAR = {2007}, NUMBER = {2-3, Ser. B}, PAGES = {207-209}, ISSN = {0025-5610}, MRCLASS = {90-06 (90C06 90C32)}, MRNUMBER = {MR2295140}, } @article {MR2290680, AUTHOR = { R. Bhatia and R. Guralnick and S. Kirkland and H. Wolkowicz}, TITLE = {Preface to the 12th {ILAS} {C}onference {P}roceedings, {R}egina 2005}, NOTE = {Held in Regina, SK, June 26--29, 2005}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {421}, YEAR = {2007}, NUMBER = {1}, PAGES = {1--2}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15-06}, MRNUMBER = {MR2290680}, } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Graduate Students Theses: @mastersthesis{NaomiGraham:20, author="Naomi Graham", title="A Blueprint for Semidefinite Relaxations of Binary-Constrained Quadratic Programs", school="University of Waterloo", URL={https://www.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisADMM_QAP.pdf}, year="2020" } @mastersthesis{MingyuYang:19, author="Mingyu. Yang", title="Uncertainty Set Sizes, Sensitivity Analysis, in Robust Portfolio Optimization", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/MingyuYangCM-eresearchpaper-printcopy.pdf}, year="2019" } @mastersthesis{RyanHughes:19, author="Ryan Hughes", title="Updated Stable Method for LP", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/UpdatedStableMethod_RyanHughes_UWformat.pdf}, year="2019" } @phdthesis{HaesolIm:2022, author="J. Im", title="On the Implicit Loss of Surjectivity and Applications Splitting Method and Interior Point Method", school="University of Waterloo", publisher={UWSpace}, year="2022" } @phdthesis{Sremac:2019, author="S. Sremac", title="Error bounds and singularity degree in semidefinite programming", school="University of Waterloo", publisher={UWSpace}, URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/stefanphdthesisdec.pdf}, year="2019" } @mastersthesis{HaesolIm:19, author="J. (Haesol) Im", title="Sensitivity Analysis and Robust Optimization: A Geometric Approach for the Special Case of Linear Optimization", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/sunethesis.pdf}, year="2018" } @mastersthesis{HaoSun:16, author="H. Sun", title="{ADMM} for {SDP} Relaxation of {GP}", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/sunethesis.pdf}, year="2016" } @mastersthesis{ZhenyuLiao:16, author="Z. Liao", title="Branch and Bound via {ADMM} for the Quadratic Assignment Problem", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/alisterthesis.pdf}, year="2016" } @mastersthesis{XinghangYe:16, author="X. Ye", title="Low Rank Matrix Completion through Semi-definite Programming with Facial Reduction", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/xinghangthesis.pdf}, year="2016" } @phdthesis{Cheung:2013, author="Y.-L. Cheung", title="Preprocessing and Reduction for Semidefinite Programming via Facial Reduction: Theory and Practice", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisvrisnov13.pdf}, year="2013" } @phdthesis{Lin:2013, author="M. Lin", title="Angles, Majorization, Wielandt Inequality and Applications", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesismingmay613.pdf}, year="2013" } @phdthesis{krislock:2010, author="N. Krislock", title="Semidefinite Facial Reduction for Low-Rank {E}uclidean Distance Matrix Completion", school="University of Waterloo", URL={http://uwspace.uwaterloo.ca/handle/10012/5093}, year="2010" } @phdthesis{wei:2005, author="H. Wei", title="Numerical Stability in Linear Programming and Semidefinite Programming", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#weithesis}, year="2006" } @phdthesis{MarinaThesis, author="M. Potaptchik", title="Portfolio Selection Under Nonsmooth Convex Transaction Costs", school="University of Waterloo", year="2006" } @phdthesis{Kruk:01, author="S. Kruk", title="High Accuracy Algorithms for the Solutions of Semidefinite Linear Programs", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01}, year="2001" } @mastersthesis{Oleg:04, author="O. Grodzevich", title="Regularization Using a Parameterized Trust Region Subproblem", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#regularizthesis}, year="2004" } @mastersthesis{Yichuan:07, author="Y. Ding", title="On Efficient Semidefinite Relaxations for Quadratically Constrained Quadratic Programming", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#yichuanthesis}, year="2007" } @mastersthesis{Danielc:10, author="X. Cui", title="Computing the Nearest Correlation Matrix using Difference Map Method", school="University of Waterloo", year="2010" } @mastersthesis{HengYe:11, author="H. Ye", title="Efficient Trust Region Subproblem Algorithms", school="University of Waterloo", year="2011" } @mastersthesis{Fortin:00, author="C. Fortin", title="A Survey of the Trust Region Subproblem within a Semidefinite Framework", school="University of Waterloo", year="2000" } @mastersthesis{Froh:03, author="M. Froh", title="Trust Region Subproblems and Linear Least-Squares Regularization", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#mikefroh03}, year="2003" } @mastersthesis{Kruk:96, author="S. Kruk", title="Semidefinite Programming Applied to Nonlinear Programming", school="University of Waterloo", year="1996" } @phdthesis{zhao:96, author="Q. Zhao", title="Semidefinite Programming for Assignment and Partitioning Problems", school="University of Waterloo", year="1996" } @phdthesis{Anjosthesis, author="M.F. Anjos", title="New Convex Relaxations for the Maximum Cut and VLSI Layout Problems", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01}, year="2001" } @mastersthesis{qz, author="Q. Zhao", title="Measures for Least Change Secant Methods", school="University of Waterloo", year="1993", } @mastersthesis{schaecke:04, author="K. Schaecke", title="Essay on: The {K}ronecker Product", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#kron04}, year="2004", } @mastersthesis{skarisch:92, author="S.E. Karisch", title="Trust Regions and the Quadratic Assignment Problem", school="University of Waterloo", year="1992" } @phdthesis{hadley:89, author="S.W. Hadley", title="Continuous Optimization Approaches to the Quadratic Assignment Problem", school="University of Waterloo", year="1989" } @mastersthesis{lund:88, author="J. Lund", title="Optimal Vehicle Replacement Policy", school="University of Waterloo", year="1988" } @mastersthesis{stephan:85, author="P. Stephan", title="An Explicit Solution to the Quadratic Dynamic Programming Problem", school="Emory University", year="1985" } @mastersthesis{schoettle:85, author="C. Schoettle", title="The Teaching Assignment Problem", school="Emory University", year="1985" } @mastersthesis{kumar:84, author="R. Kumar", title="Bounds for Eigenvalues", school="University of Alberta", year="1984" } # 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 = "{E}uclidean 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 = "L. Hogben", Publisher="CRC Press", pages = {51-1--51-13}, ADDRESS = {Bacon Raton, Fl}, note = "2008 Choice Magazine Outstanding Academic Title", URL = "www.crcpress.com/shopping\_cart/products/product\_detail.asp?sku=C5106\&parent\_id=\&pc=", year = "2007" } @incollection{Wolknonlinassign:99, author = "H. Wolkowicz", TITLE = {Semidefinite programming approaches to the quadratic assignment problem}, BOOKTITLE = {Nonlinear assignment problems}, SERIES = {Comb. Optim.}, VOLUME = {7}, PAGES = {143--174}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Dordrecht}, YEAR = {2000}, MRCLASS = {90C27 (90C22)}, MRNUMBER = {MR1893727}, } @incollection{AlWo:99, author = "A.Y. Alfakih and H. Wolkowicz", TITLE = {Matrix completion problems}, BOOKTITLE = {Handbook of semidefinite programming}, SERIES = {Internat. Ser. Oper. Res. Management Sci.}, VOLUME = {27}, PAGES = {533--545}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Boston, MA}, YEAR = {2000}, MRCLASS = {90C22 (65F30)}, MRNUMBER = {MR1778240}, } @incollection{NeWoYe:99, author = "Y.E. Nesterov and H. Wolkowicz and Y. Ye", TITLE = {Semidefinite programming relaxations of nonconvex quadratic optimization}, BOOKTITLE = {Handbook of semidefinite programming}, SERIES = {Internat. Ser. Oper. Res. Management Sci.}, VOLUME = {27}, PAGES = {361--419}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Boston, MA}, YEAR = {2000}, MRCLASS = {90C22 (90C26)}, MRNUMBER = {MR1778235}, } @incollection{KrukWolk:99, author = "S. Kruk and H. Wolkowicz", TITLE = {Sequential, quadratic constrained, quadratic programming for general nonlinear programming}, BOOKTITLE = {Handbook of semidefinite programming}, SERIES = {Internat. Ser. Oper. Res. Management Sci.}, VOLUME = {27}, PAGES = {563--575}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Boston, MA}, YEAR = {2000}, MRCLASS = {90C22 (90C55)}, MRNUMBER = {MR1778242}, } @incollection{wolkcamb:99, author = "H. Wolkowicz", title = "Semidefinite and {L}agrangian Relaxations for hard combinatorial problems", booktitle = "Proceedings of 19th IFIP TC7 Conference on System Modelling and Optimization, July, 1999, Cambridge", editor = "M.J.D. Powell", Publisher="Kluwer Academic Publishers", ADDRESS = {Boston, MA}, pages = {269-309}, year = "2000" } @incollection{Wolkapplhand:99, author = "H. Wolkowicz", title = "Semidefinite Programming", booktitle = "Handbook of Applied Optimization", editor = "P.M. Pardalos and M.G.C. Resende", Publisher="Oxford University Press, New York", ISBN = {0-19-512594-0}, year = "2002", pages = {40-50}, } @incollection{wolk:98, author="H. Wolkowicz", title = "Duality for Semidefinite Programming", institution="University of Waterloo", type="Research Report", booktitle="Encyclopedia of Optimization", publisher="Kluwer Academic Publishers", ADDRESS = {Boston, MA}, pages = "", year="2001", } # 333333 PAPERS in REFEREED JOURNALS ############################### # start of journal ... PAPERS ############################### ###2022########################## @techreport{ImWolk:22, title = "Lack of Strict Feasibility in Linear Programs", author = "J. Im and H. Wolkowicz", institution="University of Waterloo", note = "15 pages, research report", address = "Waterloo, Ontario", year="2022", } @techreport{CensorMoursiWeamsWolk:22, title = "Best Approximation, Superiorization, and Applications", author = "Y. Censor and and W. Moursi and T. Weams and H. Wolkowicz", institution="University of Waterloo", note = "27 pages, research report", address = "Waterloo, Ontario", year="2022", } ###2021########################## @article{ImWolk:21, title = "A Strengthened {B}arvinok-{P}ataki Bound on {SDP} Rank", author = "J. Im and H. Wolkowicz", journal = "Oper. Res. Lett.", volume = "49", pages = "837-841", number = "6", institution="University of Waterloo", note = "11 pages, accepted Aug. 2021", address = "Waterloo, Ontario", year="2021", } @article{hu2021robust, title={Robust Interior Point Method for Quantum Key Distribution Rate Computation}, author={H. Hu and J. Im and J. Lin and N. L\"utkenhaus and H. Wolkowicz}, eprint={2104.03847}, archivePrefix={arXiv}, journal = {{Quantum}}, volume = {6}, pages = {792--840}, DOI = {https://doi.org/10.22331/q-2022-09-08-792}, url = {https://quantum-journal.org/papers/q-2022-09-08-792/}, year = {2022}, primaryClass={quant-ph} } @techreport{HuImLiWo:21, title={A Semismooth {N}ewton-Type Method for the Nearest Doubly Stochastic Matrix Problem}, author={H. Hu and J. Im and X. Li and H. Wolkowicz}, year={2021}, } @techreport{GHKW:21, title = "{SDP} Relaxations and {ADMM} for Power Flow Problems", author = "B. Ghaddar and H. Hu and O. Kuryatnikova and H. Wolkowicz", institution="University of Waterloo", note = "45 pages, research report", address = "Waterloo, Ontario", year="2021", } ###2020########################## @misc{BurkImWolk:20, title={A {P}eaceman-{R}achford Splitting Method for the Protein Side-Chain Positioning Problem}, author={F. Burkowski and J. Im and H. Wolkowicz}, year={2021}, eprint={2009.01450}, archivePrefix={arXiv}, primaryClass={math.OC} } ###2019########################## @article{LiPongWolk:19, author = "X. Li and T.K. Pong and H. Sun and H. Wolkowicz", TITLE = {A strictly contractive {P}eaceman-{R}achford splitting method for the doubly nonnegative relaxation of the minimum cut problem}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {78}, YEAR = {2021}, NUMBER = {3}, PAGES = {853--891}, ISSN = {0926-6003}, MRCLASS = {90C22 (05C70 90C25 90C27 90C59)}, MRNUMBER = {4221619}, DOI = {10.1007/s10589-020-00261-4}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-020-00261-4}, } @article{HSW:19, title={Facial Reduction for Symmetry Reduced Semidefinite Programs}, author={H. Hu and R. Sotirov and H. Wolkowicz}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, year={2022}, note = {revision Oct. 2020; accepted Sept. 2022}, eprint={1912.10245}, archivePrefix={arXiv}, primaryClass={math.OC} } ###2018########################## @techreport{HSWWb:18, title = "Finding a ``nice'' principal submatrix'', completions", author = "H. Hu and S. Sremac and H.J. Woerdeman and H. Wolkowicz", institution="University of Waterloo", note = "16 pages, research report", address = "Waterloo, Ontario", year="2019", } @article{GHILW:20, title = "A Restricted Dual Peaceman-Rachford Splitting Method for a Strengthened DNN Relaxation for QAP", author = "N. Graham and H. Hu and J. Im and X. Li and H. Wolkowicz", journal = "INFORMS J. Comput.", volume = "", pages = "", institution="University of Waterloo", note = "29 pages, accepted Sept. 2021", address = "Waterloo, Ontario", year="2021", } ###2017########################## @article{SreWangWolk:17, title = "Noisy {E}uclidean Distance Matrix Completion with a Single Missing Node", author = "L. Pattersson and S. Sremac and F. Wang and H. Wolkowicz", institution="University of Waterloo", journal = jogo, volume = "75", number = "", pages = "973--1002", year="2019", } @article{FLWW:17, title = "Parametric convex quadratic Relaxation of the Quadratic Knapsack Problem", author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz", institution="University of Waterloo", note = "submitted 2017, 34 pages; EJOR Editors Choice Articles, January 2020", address = "Waterloo, Ontario", journal = "European Journal of Operational Research", volume = "281", number = "1", pages = "36--49", year="2020", } @proceedings {FLWW:18, title = "Extending cover inequalities for the quadratic knapsack problem to relaxations in lifted space", author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz", institution="University of Waterloo", note = "34 pages, research report, , CLAIO", Series = "The Latin-Iberoamerican Conference on Operations Research", address = "Waterloo, Ontario", year="2018", } @article{SWW:17, author={S. Sremac and H.J. Woerdeman and H. Wolkowicz}, TITLE = {Error bounds and singularity degree in semidefinite programming}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {31}, YEAR = {2021}, NUMBER = {1}, PAGES = {812--836}, ISSN = {1052-6234}, MRCLASS = {90C22 (90C25)}, MRNUMBER = {4227005}, DOI = {10.1137/19M1289327}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/19M1289327}, } @misc{SWW:17b, title={Complete Facial Reduction in One Step for Spectrahedra}, author = "S. Sremac and H.J. Woerdeman and H. Wolkowicz", eprint={1710.07410}, archivePrefix={arXiv}, note = {1710.07410, arXiv}, primaryClass={math.OC}, year={2017} } @Incollection{SWWb:17, author="Sremac, S. and Woerdeman, H.J. and Wolkowicz, H.", title="Maximum determinant positive definite {T}oeplitz completions", bookTitle="Operator Theory, Analysis and the State Space Approach: In Honor of Rien Kaashoek", year="2018", volume = "271", publisher="Birkh{\"a}user/Springer", address="Cham", pages="421--441", abstract="We consider partial symmetric Toeplitz matrices where a positive definite completion exists. We characterize those patterns where the maximum determinant completion is itself Toeplitz. We then extend these results with positive definite replaced by positive semidefinite, and maximum determinant replaced by maximum rank. These results are used to determine the singularity degree of a family of semidefinite optimization problems.", isbn="978-3-030-04269-1", doi="10.1007/978-3-030-04269-1_17", url="https://doi.org/10.1007/978-3-030-04269-1_17" } @inproceedings{RWWradicalideal:17, title = "An {SDP}-based method for the real radical ideal membership test", author = "G. Reid and F. Wang and H. Wolkowicz", editors="Tudor Jebelean, Viorel Negru, Tetsuo Ida, Dana Petcu, Stephen Watt, Daniela Zaharie", Series = "SYNASC2017, International Symposium on Symbolic and Numeric Algorithms for Scientific Computing", year="2017" } @techreport{NeWoXia:17, title = "Completely positive Low-Rank Matrix Completion using Nuclear Norm with Facial Reduction", author = "Y. Nesterov and H. Wolkowicz and Y. Xia", institution="University of Waterloo", note = "in progress", address = "Waterloo, Ontario", year="2017", } @article{MPWWW:17, author="Ma, S. and Wang, F. and Wei, L. and Wolkowicz, H.", title="Robust principal component analysis using facial reduction", journal="Optimization and Engineering", year="2019", month="Nov", day="27", abstract="We introduce a novel approach for robust principal component analysis (RPCA) for a partially observed data matrix. The aim is to recover the data matrix as a sum of a low-rank matrix and a sparse matrix so as to eliminate erratic noise (outliers). This problem is known to be NP-hard in general. A classical approach to solving RPCA is to consider convex relaxations. One such heuristic involves the minimization of the (weighted) sum of a nuclear norm part, that promotes a low-rank component, with an {\$}{\$}{\backslash}ell {\_}1{\$}{\$}â„“1 norm part, to promote a sparse component. This results in a well-structured convex problem that can be efficiently solved by modern first-order methods. However, first-order methods often yield low accuracy solutions. Moreover, the heuristic of using a norm consisting of a weighted sum of norms may lose some of the advantages that each norm had when used separately. In this paper, we propose a novel nonconvex and nonsmooth reformulation of the original NP-hard RPCA model. The new model adds a redundant semidefinite cone constraint and solves small subproblems using a PALM algorithm. Each subproblem results in an exposing vector for a facial reduction technique that is able to reduce the size significantly. This makes the problem amenable to efficient algorithms in order to obtain high-level accuracy. We include numerical results that confirm the efficacy of our approach.", issn="1573-2924", doi="10.1007/s11081-019-09476-9", url="https://doi.org/10.1007/s11081-019-09476-9" } @techreport{DrusSremWolk:17, author = "D. Drusvyatskiy and S. Sremac and H. Wolkowicz", title = "Three views of facial reduction in cone optimization", institution="University of Waterloo", note = "survey in progress", address = "Waterloo, Ontario", year="2017", } \usepackage{textcomp} \textregistered\textcopyright \sffamily\textregistered\textcopyright @article{DrusWolk:16, author = "D. Drusvyatskiy and H. Wolkowicz", title = "The many faces of degeneracy in conic optimization", journal = "Foundations and Trends\textsuperscript{\tiny\textregistered} in Optimization", institution="University of Waterloo", volume = "3", number = "2", address = "Waterloo, Ontario", pages = "77-170", url = {https://books.google.ca/books/about/The_Many_Faces_of_Degeneracy_in_Conic_Op.html?id=VgnZvQEACAAJ&redir_esc=y}, DOI = {http://dx.doi.org/10.1561/2400000011}, issn = {2167-3888}, year="2017", } ###2016########################## @techreport{IanDavidsonWolk:16, author = "I. Davidson and H. Wolkowicz", title = "Rank restricted semidefinite matrices and image closedness", institution="University of Waterloo", note = "submitted", pages = "1-12", address = "Waterloo, Ontario", year="2016", } @misc{Wolktalkdimacs:16, author = "H. Wolkowicz", note = "Based on survey paper: The many faces of degeneracy in conic optimization, (with D. Drusvyatskiy)", title = "Tutorial: Facial Reduction in Cone Optimization with Applications to Matrix Completions, at: DIMACS Workshop on Distance Geometry: Theory and Applications", address = "DIMACS, NJ", year="2016", } @article {HuangWolkXYe:16, author = "S. Huang and H. Wolkowicz", title = "Low-Rank Matrix Completion using Nuclear Norm with Facial Reduction", institution="University of Waterloo", volume = "72", number = "1", journal = jogo, address = "Waterloo, Ontario", DOI = {doi.org/10.1007/s10898-017-0590-1}, pages = "5--26", year="2018", } ###YEAR 2015########################## @article{SalahiTaatiWolk:15, author = "M. Salahi and A. Taati and H. Wolkowicz", TITLE = {Local nonglobal minima for solving large-scale extended trust-region subproblems}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {66}, YEAR = {2017}, NUMBER = {2}, note = "submitted Dec. 23, 2015, 25 pages, accepted to COAP Aug. 20, 2016, 25 pages, online Sept. 2016, doi:10.1007/s10589-016-9867-4", PAGES = {223--244}, ISSN = {0926-6003}, MRCLASS = {90C26 (65K05 90C30 90C46)}, MRNUMBER = {3604052}, DOI = {10.1007/s10589-016-9867-4}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-016-9867-4}, } @article {OliveiraWolkXu:15, author = "D.E. Oliveira and H. Wolkowicz and Y. Xu", title = "{ADMM} for the {SDP} relaxation of the {QAP}", JOURNAL = {Math. Program. Comput.}, FJOURNAL = {Mathematical Programming Computation}, pages = "631-658", volume = "10", number = "4", year="2018" } @techreport{TangWolk:17, author = "Z. Tang and H. Wolkowicz", title = "{ADMM} for the second lifting {SDP} relaxation of {MC}", institution="University of Waterloo", note = "in progress", address = "Waterloo, Ontario", year="2017", } @inproceedings{BoBurkWolk:16, author = "X-B Li and F. Burkowski and H. Wolkowicz", title = "Semidefinite Facial Reduction and Rigid Cluster Interpolation in Protein Structure Elastic Network Models", institution="University of Waterloo", note = "submitted for refereed conference, Dec. 1, 2016, 10 pages, unpublished", address = "Waterloo, Ontario", Series = "IEEE BIBM 2016", year="2016", } @inproceedings{BoBurkWolktwo:16, author = "X-B Li and F. Burkowski and H. Wolkowicz", title = "Semidefinite facial reduction and rigid cluster elastic network interpolation of protein structures", institution="University of Waterloo", address = "Waterloo, Ontario", Series = "IEEE International Conference on Bioinformatics and Biomedicine (BIBM), IEEE Xplore, January 19, 2017", year="2017", DOI = {0.1109/BIBM.2016.7822506}, } @techreport{BoBurkWolk:15, author = "X-B Li and F. Burkowski and H. Wolkowicz", title = "Protein Structure Normal Mode Analysis on the Positive Semidefinite Matrix Manifold", institution="University of Waterloo", note = "submitted Nov. 1, 2015, 10 pages", address = "Waterloo, Ontario", year="2015", } ###2014########################## @techreport{ChWosensit:14, author = "Y.-L. Cheung and H. Wolkowicz", title = "Sensitivity analysis of semidefinite programs without strong duality", institution="University of Waterloo", note = "submitted June 2014, 37 pages", address = "Waterloo, Ontario", year="2014", } @techreport{RWWW:14, title = "Facial Reduction and {SDP} Methods for Systems of Polynomial Equations", author = " G. Reid and F. Wang and H. Wolkowicz and W. Wu", institution="University of Western Ontario", note = "submitted Dec. 2014, 38 pages", address = "London, Ontario", year="2014", } @article{RWW:17, author = " G. Reid and F. Wang and H. Wolkowicz", title = {Finding Maximum Rank Moment Matrices by Facial Reduction on Primal Form and {D}ouglas-{R}achford Iteration}, journal = {ACM Commun. Comput. Algebra}, issue_date = {March 2017}, volume = {51}, number = {1}, month = may, note = "submitted Dec. 2014, 38 pages", year = {2017}, issn = {1932-2240}, pages = {35--37}, numpages = {3}, url = {http://doi.acm.org/10.1145/3096730.3096740}, doi = {10.1145/3096730.3096740}, acmid = {3096740}, publisher = {ACM}, address = {New York, NY, USA}, } @article{ChDrLiPeWomatrixrepr:14, author = "D. Drusvyatskiy and C.-K. Li and Y.-L. Cheung Voronin and D.C. Pelejo and H. Wolkowicz", TITLE = {Projection methods for quantum channel construction}, JOURNAL = {Quantum Inf. Process.}, FJOURNAL = {Quantum Information Processing}, VOLUME = {14}, YEAR = {2015}, NUMBER = {8}, PAGES = {3075--3096}, ISSN = {1570-0755}, MRCLASS = {81P45}, MRNUMBER = {3370697}, DOI = {10.1007/s11128-015-1024-y}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11128-015-1024-y}, } @article{ChDrLiPeWo:14, author = "Y.-L. Cheung and D. Drusvyatskiy and C.-K. Li and D.C. Pelejo and H. Wolkowicz", title = "Projection methods in quantum information science", institution="University of Waterloo", note = "submitted July. 2014, 15 pages, under revision Oct. 2014", address = "Waterloo, Ontario", journal = "Quantum Information Processing", pages = "3075-3095", volume = "14", number = "8", year="2015", } @article{DrusLiWolk:14, author = "D. Drusvyatskiy and G. Li and H. Wolkowicz", TITLE = {A note on alternating projections for ill-posed semidefinite feasibility problems}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {162}, YEAR = {2017}, NUMBER = {1-2, Ser. A}, PAGES = {537--548}, ISSN = {0025-5610}, MRCLASS = {90C22 (47J25 65J15)}, MRNUMBER = {3612949}, DOI = {10.1007/s10107-016-1048-9}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-016-1048-9}, } @article{DrVaWo:14, author = "D. Drusvyatskiy and S.A. Vavasis and H. Wolkowicz", TITLE = {Extreme point inequalities and geometry of the rank sparsity ball}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Optimization Society}, VOLUME = {152}, YEAR = {2015}, NUMBER = {1-2, Ser. A}, PAGES = {521--544}, ISSN = {0025-5610}, MRCLASS = {90C25 (47N10 68P30)}, MRNUMBER = {3369491}, DOI = {10.1007/s10107-014-0795-8}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-014-0795-8}, } @article{DrPaWo:14, author = "D. Drusvyatskiy and G. Pataki and H. Wolkowicz", TITLE = {Coordinate shadows of semidefinite and {E}uclidean distance matrices}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {25}, YEAR = {2015}, NUMBER = {2}, PAGES = {1160--1178}, ISSN = {1052-6234}, MRCLASS = {90C22 (52A99)}, MRNUMBER = {3357643}, MRREVIEWER = {Ning Ruan}, DOI = {10.1137/140968318}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1137/140968318}, } @article{HaoWangPongWolk:14, author = "T.K. Pong and H. Sun and N. Wang and H. Wolkowicz", TITLE = {Eigenvalue, quadratic programming, and semidefinite programming relaxations for a cut minimization problem}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {63}, YEAR = {2016}, NUMBER = {2}, PAGES = {333--364}, ISSN = {0926-6003}, MRCLASS = {05C35 (05C70 90C22 90C27 90C59)}, MRNUMBER = {3457444}, MRREVIEWER = {Sandra L. Arlinghaus}, DOI = {10.1007/s10589-015-9779-8}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-015-9779-8}, } @article{ChDrWo:14, author = "D. Drusvyatskiy and N. Krislock and Y-L. Cheung Voronin and H. Wolkowicz", title = "Noisy {E}uclidean distance realization: robust facial reduction and the {P}areto frontier", institution="University of Waterloo", publisher = {SIAM}, year = {2017}, journal = {SIAM Journal on Optimization}, volume = {27}, number = {4}, pages = {2301-2331}, address = "Waterloo, Ontario", } ############ YEAR 2013 @article{PongWolk:12, author = "T.K. Pong and H. Wolkowicz", TITLE = {The generalized trust region subproblem}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {58}, YEAR = {2014}, NUMBER = {2}, PAGES = {273--322}, ISSN = {0926-6003}, MRCLASS = {90C20 (90C26 90C55)}, MRNUMBER = {3201963}, DOI = {10.1007/s10589-013-9635-7}, URL = {http://dx.doi.org/10.1007/s10589-013-9635-7}, } @techreport{LinWolkowicz:13, author = "Lin, M-H. and Wolkowicz, H.", title = "A general Hua-type matrix equality and its applications", institution="University of Waterloo", note = "7 pages, submitted Jan. 2013", year="2013" } @article{LinWolkowiczHiro:13, author = "Lin, M-H. and Wolkowicz, H.", TITLE = {Hiroshima's theorem and matrix norm inequalities}, JOURNAL = {Acta Sci. Math. (Szeged)}, FJOURNAL = {Acta Universitatis Szegediensis. Acta Scientiarum Mathematicarum}, VOLUME = {81}, YEAR = {2015}, NUMBER = {1-2}, PAGES = {45--53}, ISSN = {0001-6969}, MRCLASS = {15A60 (47A30)}, MRNUMBER = {3381873}, MRREVIEWER = {Natalia Bebiano}, DOI = {10.14232/actasm-013-821-3}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.14232/actasm-013-821-3}, } ############ YEAR 2012 @techreport{Babakmanifold:12, author = "B. Alipanahi and N. Krislock and A. Ghodsi and H. Wolkowicz", title = "Large-Scale Manifold Learning by Semidefinite Facial Reduction", institution="University of Waterloo", URL = "http://hal.archives-ouvertes.fr/hal-00684488", note = "19pages", address = "Waterloo, Ontario", year="2012" } @incollection {Babakprotein:12, author = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and Wolkowicz, H. and Donaldson, L. and Li, M.}, affiliation = {David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada}, title = {Protein Structure by Semidefinite Facial Reduction}, booktitle = {Research in Computational Molecular Biology}, series = {Lecture Notes in Computer Science}, editor = {Chor, Benny}, publisher = {Springer Berlin / Heidelberg}, isbn = {978-3-642-29626-0}, keyword = {Computer Science}, pages = {1-11}, volume = {7262}, year = {2012} } @article {Alipanahi:2012, AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and Wolkowicz, H. and Donaldson, L. and Li, M.}, TITLE = {Determining protein structures from {NOESY} distance constraints by semidefinite programming}, JOURNAL = {J. Comput. Biol.}, FJOURNAL = {Journal of Computational Biology}, VOLUME = {20}, YEAR = {2013}, NUMBER = {4}, PAGES = {296--310}, ISSN = {1066-5277}, MRCLASS = {92D20 (90C22)}, MRNUMBER = {3042029}, DOI = {10.1089/cmb.2012.0089}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089}, } @conference{Babaketal:12, title="Protein Structure by Semidefinite Facial Reduction", author = "B. Alipanahi and N. Krislock and A. Ghodsi and H. Wolkowicz and L. Donaldson and M. Li", institution="University of Waterloo", note="poster session at RECOMB2012", booktitle="URL: recomb2012.crg.cat", address = "Waterloo, Ontario", URL = {http://compbio.cs.sfu.ca/recomb2011}, year="2012" } ############ YEAR 2011 @article{MingW:11, author = "Lin, M-H. and Wolkowicz, H.", TITLE = {An eigenvalue majorization inequality for positive semidefinite block matrices}, JOURNAL = {Linear Multilinear Algebra}, FJOURNAL = {Linear and Multilinear Algebra}, VOLUME = {60}, YEAR = {2012}, NUMBER = {11-12}, PAGES = {1365--1368}, ISSN = {0308-1087}, MRCLASS = {15A42}, MRNUMBER = {2989768}, MRREVIEWER = {Xiao-Dong Zhang}, DOI = {10.1080/03081087.2011.651723}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/03081087.2011.651723}, } @inproceedings{ScTuWonumeric:07, author = "Cheung, Y-L. and Schurr, S. and Wolkowicz, H.", editor = "Bailey, D.H. and Bauschke, H.H. and Borwein, P. and Garvan, F. and Thera, M. and Vanderwerff, J. and Wolkowicz, H.", title = "Preprocessing and Regularization for Degenerate Semidefinite Programs", booktitle = {Computational and {A}nalytical {M}athematics, {I}n {H}onor of {J}onathan {B}orwein's 60th {B}irthday}, publisher="Springer", VOLUME = {50}, Series = "Springer Proceedings in Mathematics \& Statistics", year="2013", ISBN = "978-1-4614-7620-7", URL = {http://www.optimization-online.org/DB_HTML/2011/02/2929.html}, pages = "225-276", } @incollection {MR3108430, AUTHOR = {Cheung, Y-L and Schurr, S. and Wolkowicz, H.}, TITLE = {Preprocessing and regularization for degenerate semidefinite programs}, BOOKTITLE = {Computational and analytical mathematics}, SERIES = {Springer Proc. Math. Stat.}, VOLUME = {50}, PAGES = {251--303}, PUBLISHER = {Springer, New York}, YEAR = {2013}, MRCLASS = {90C22 (90C46)}, MRNUMBER = {3108430}, MRREVIEWER = {Sorin-Mihai Grad}, DOI = {10.1007/978-1-4614-7621-4_12}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-7621-4_12}, } @article {MR3070089, AUTHOR = {Bauschke, H.H. and T.M. and Wolkowicz, H.}, TITLE = {Preface [{S}pecial issue: {C}omputational and analytical mathematics]}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {139}, YEAR = {2013}, NUMBER = {1-2, Ser. B}, PAGES = {1--3}, ISSN = {0025-5610}, MRCLASS = {90-06 (49-06)}, MRNUMBER = {3070089}, DOI = {10.1007/s10107-013-0656-x}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-013-0656-x}, } @book{comanalmathbailbortherawolk:13, editor = "Bailey, D.H. and Bauschke, H.H. and Borwein, P. and Garvan, F. and Thera, M. and Vanderwerff, J. and Wolkowicz, H.", title = "Preprocessing and Regularization for Degenerate Semidefinite Programs", booktitle = {Computational and {A}nalytical {M}athematics, {I}n {H}onor of {J}onathan {B}orwein's 60th {B}irthday}, publisher="Springer", VOLUME = {50}, Series = "Springer Proceedings in Mathematics \& Statistics", year="2013", ISBN = "978-1-4614-7620-7", URL = {http://www.optimization-online.org/DB_HTML/2011/02/2929.html}, pages = "225-276", } @book{companalymathBTW:13, TITLE = {Computational and Analytical Mathematics}, EDITOR = "H.H. Bauschke, M. Théra, H. Wolkowicz", NOTE = {Special issue in honour of Jon Borwein''s 60th birthday, Math. Programming {\bf 139} (2013), no. 1-2}, PUBLISHER = {Springer}, ADDRESS = {}, YEAR = {2013}, PAGES = {}, } @conference{Babaketal:11, title="{SPROS}: An {SDP}-Based Protein Structure Determination from {NMR} Data", author = "B. Alipanahi and N. Krislock and A. Ghodsi and H. Wolkowicz and L. Donaldson and M. Li", institution="University of Waterloo", note="poster session at RECOMB2011", booktitle="URL: compbio.cs.sfu.ca/recomb2011", address = "Waterloo, Ontario", URL = {http://compbio.cs.sfu.ca/recomb2011}, year="2011" } @article {MR3042029, AUTHOR = {Alipanahi, B. and Krislock, N. and Ghodsi, A. and Wolkowicz, H. and Donaldson, L. and Li, M.}, TITLE = {Determining protein structures from {NOESY} distance constraints by semidefinite programming}, JOURNAL = {J. Comput. Biol.}, FJOURNAL = {Journal of Computational Biology}, VOLUME = {20}, YEAR = {2013}, NUMBER = {4}, PAGES = {296--310}, ISSN = {1066-5277}, MRCLASS = {92D20 (90C22)}, MRNUMBER = {3042029}, DOI = {10.1089/cmb.2012.0089}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1089/cmb.2012.0089}, } @techreport{DoanW:11, author = "Doan, X.V. and Wolkowicz, H.", title = "Numerical Computations and the $\omega$-Condition Number", institution="University of Waterloo", number="CORR 2011-03", note = "submitted in July, 2011, 19 pages", address="Waterloo, Ontario", year="2011" } @article{ForbesVrisWolk:11, author = "Burkowski, F. and Cheung, Y-L. and Wolkowicz, H.", TITLE = {Efficient use of semidefinite programming for selection of rotamers in protein conformations}, JOURNAL = {INFORMS J. Comput.}, FJOURNAL = {INFORMS Journal on Computing}, VOLUME = {26}, YEAR = {2014}, NUMBER = {4}, PAGES = {748--766}, ISSN = {1091-9856}, MRCLASS = {92D20 (90C22 90C90)}, MRNUMBER = {3265805}, DOI = {10.1287/ijoc.2014.0596}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1287/ijoc.2014.0596}, } ############ YEAR 2010 @article{KrukDoanW:10, author = "Doan, X.V. and Kruk, S. and Wolkowicz, H.", TITLE = {A robust algorithm for semidefinite programming}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {27}, YEAR = {2012}, NUMBER = {4-5}, PAGES = {667--693}, ISSN = {1055-6788}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {2946052}, MRREVIEWER = {Bogdan Dumitrescu}, DOI = {10.1080/10556788.2011.610456}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/10556788.2011.610456}, } @article{DingGeWolk:10, author = "Ding, Y. and Ge, D. and Wolkowicz, H.", TITLE = {On equivalence of semidefinite relaxations for quadratic matrix programming}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {36}, YEAR = {2011}, NUMBER = {1}, PAGES = {88--104}, ISSN = {0364-765X}, MRCLASS = {90C20 (90C22)}, MRNUMBER = {2799394}, 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; {E}uclidean 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.Y. Alfakih and M.F. Anjos and V. Piccialli and H. Wolkowicz", title = "{E}uclidean 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", } @article {DiKrQiWo:08, author = "Ding, Y. and Krislock, N. and Qian, J. and Wolkowicz, H.", TITLE = {Sensor network localization, {E}uclidean distance matrix completions, and graph realization}, JOURNAL = {Optim. Eng.}, booktitle = {Optimization and Engineering. International Multidisciplinary Journal to Promote Optimization Theory \& Applications in Engineering Sciences}, VOLUME = {11}, YEAR = {2010}, NUMBER = {1}, PAGES = {45--66}, ISSN = {1389-4420}, MRCLASS = {90B10 (90B80 90C22)}, MRNUMBER = {2601732 (2011b:90012)}, MRREVIEWER = {Ning Ruan}, DOI = {10.1007/s11081-008-9072-0}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s11081-008-9072-0}, } @inproceedings{DiKrQiWo:06, author = "Ding, Y. and Krislock, N. and Qian, J. and Wolkowicz, H.", TITLE = {Sensor network localization, {E}uclidean distance matrix completions, and graph realization}, journal = {ACM}, booktitle = {{MELT'08}: Proceedings of the First {ACM} International Workshop on Mobile Entity Localization and Tracking in {GPS}-less Environments}, YEAR = {2008}, PAGES = {129--134}, } ############ YEAR 2007 ############ YEAR 2006 @inproceedings{AnDeHaGrWeWolk:06, author= "M.F. Anjos and M. Desroches and A. Haque and O. Grodzevich and H. Wei and H. Wolkowicz", TITLE = {Multi-Stage Investment Decision under Contingent Demand for Networking Planning}, BOOKTITLE = {Proceedings of the 2006 IEEE GLOBECOM Conference in San Francisco}, PAGES = {1--5 }, PUBLISHER = {}, ADDRESS = { }, URL = {http://www.ieee-globecom.org/2006/}, YEAR = {2007}, } @article{PoTuWo:06, author = "Potaptchik, M. and Tun{\c{c}}el, L. and H. Wolkowicz", title = "Large Scale Portfolio Optimization with Piecewise Linear Transaction Costs", journal = "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.Y. Alfakih and H. Wolkowicz", title = "Necessary and Sufficient Trace Inequalities for {E}uclidean Distance Matrices", institution="University of Waterloo", address="Waterloo, Ontario", pages = "499--506", volume = "55", number = "5", journal = lama, year="2007", } @article{GroWo:05, author="O. Grodzevich and H. Wolkowicz", title = "Regularization Using a Parameterized Trust Region Subproblem", institution="University of Waterloo", number="1-2", address="Waterloo, Ontario", JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, pages = "193-220", volume = "116", year="2009", } ############ YEAR 2004 @article {GoWo:04, author="M. Gonzalez-Lima and H. Wei and H. Wolkowicz", TITLE = {A stable primal-dual approach for linear programming under nondegeneracy assumptions}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {44}, YEAR = {2009}, NUMBER = {2}, PAGES = {213--247}, ISSN = {0926-6003}, MRCLASS = {90C05 (90C51)}, MRNUMBER = {2556851 (2010i:90056)}, MRREVIEWER = {K. Zimmermann}, DOI = {10.1007/s10589-007-9157-2}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10589-007-9157-2}, } @article{homwolkA:04, author = "Al-Homidan, S. and H. Wolkowicz", TITLE = {Approximate and exact completion problems for {E}uclidean distance matrices using semidefinite programming}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {406}, YEAR = {2005}, PAGES = {109--141}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C22 (15Axx)}, MRNUMBER = {MR2156431}, } @article{WeiWolk:06, author = "H. Wei and H. Wolkowicz", TITLE = {Generating and measuring instances of hard semidefinite programs}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {125}, YEAR = {2010}, NUMBER = {1, Ser. A}, PAGES = {31--45}, ISSN = {0025-5610}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {2718693 (2011h:90105)}, MRREVIEWER = {Didier Henrion}, DOI = {10.1007/s10107-008-0256-3}, URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s10107-008-0256-3}, } ############ YEAR 2003 @article{ScTuWolk:03, author = "L. Tun{\c{c}}el and H. Wolkowicz", TITLE = {Strengthened existence and uniqueness conditions for search directions in semidefinite programming}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {400}, YEAR = {2005}, PAGES = {31--60}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C22 (15A39)}, MRNUMBER = {MR2131915 (2006a:90070)}, MRREVIEWER = {Etienne de Klerk}, } ############ YEAR 2002 ############ YEAR 2001 @article{Wolk:01, author="H. Wolkowicz", TITLE = {Solving semidefinite programs using preconditioned conjugate gradients}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {19}, YEAR = {2004}, NUMBER = {6}, PAGES = {653--672}, ISSN = {1055-6788}, MRCLASS = {90C22 (90C52)}, MRNUMBER = {MR2102220 (2005h:90091)}, MRREVIEWER = {E. Alper Y{\i} ld{\i} r{\i} m}, } @article{AnjosWolk:01, author="M.F. Anjos and H. Wolkowicz", TITLE = {Geometry of semidefinite max-cut relaxations via matrix ranks}, NOTE = {New approaches for hard discrete optimization (Waterloo, ON, 2001)}, JOURNAL = {J. Comb. Optim.}, FJOURNAL = {Journal of Combinatorial Optimization}, VOLUME = {6}, YEAR = {2002}, NUMBER = {3}, PAGES = {237--270}, ISSN = {1382-6905}, MRCLASS = {90C27 (90C22)}, MRNUMBER = {MR1920210 (2003h:90057)}, MRREVIEWER = {Jos F. Sturm}, } @article{FortinWolk:03, author = "C. Fortin and H. Wolkowicz", TITLE = {The trust region subproblem and semidefinite programming}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {19}, YEAR = {2004}, NUMBER = {1}, PAGES = {41--67}, ISSN = {1055-6788}, MRCLASS = {90C22 (90-06)}, MRNUMBER = {MR2062235 (2005c:90065)}, MRREVIEWER = {Ya Xiang Yuan}, } @article{AlWo:01, author = "A.Y. Alfakih and H. Wolkowicz", TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale transform}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {340}, YEAR = {2002}, PAGES = {149--154}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {51K05 (15A48 52B35)}, MRNUMBER = {MR1869424 (2002i:51010)}, } ############ YEAR 2000 @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, M. F. and Wolkowicz, H.}, TITLE = {Strengthened semidefinite programming relaxations for the max-cut problem}, BOOKTITLE = {Advances in convex analysis and global optimization (Pythagorion, 2000)}, SERIES = {Nonconvex Optim. Appl.}, VOLUME = {54}, PAGES = {409--420}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Dordrecht}, YEAR = {2001}, MRCLASS = {90C22 (90C27 90C57)}, MRNUMBER = {MR1846167}, } ############ YEAR 1998 @article{AnChWoYu:98, author="K.M. Anstreicher and X. Chen and H. Wolkowicz and Y. Yuan", TITLE = {Strong duality for a trust-region type relaxation of the quadratic assignment problem}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {301}, YEAR = {1999}, NUMBER = {1-3}, PAGES = {121--136}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90Cxx}, MRNUMBER = {1 728 045} } @article{AnWo:98, author="K.M. Anstreicher and H. Wolkowicz", title = "On {L}agrangian relaxation of quadratic matrix constraints", journal = simax, volume = "22", number = "1", institution="University of Waterloo", address="Waterloo, Ontario", year="2000", pages = "41-55", } @article{KrMuReVaWo:98, author = " S. Kruk and M. Muramatsu and F. Rendl and R.J. Vanderbei and H. Wolkowicz", TITLE = {The {G}auss-{N}ewton direction in semidefinite programming}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods and Software}, VOLUME = {15}, YEAR = {2001}, NUMBER = {1}, PAGES = {1--28}, ISSN = {1055-6788}, CODEN = {OMSOE2}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {MR1891034 (2003b:90063)}, MRREVIEWER = {Marina Alex Epelman}, } @article{KrWo:98, AUTHOR = {Kruk, S. and Wolkowicz, H.}, TITLE = {Pseudolinear programming}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review}, VOLUME = {41}, YEAR = {1999}, NUMBER = {4}, PAGES = {795--805 (electronic)}, ISSN = {1095-7200}, MRCLASS = {90C08 (90C30)}, MRNUMBER = {2000f:90030}, } ############ YEAR 1997 @article{Wolk:image98, author="Wolkowicz, H.", title="Semidefiniteness of a sum: Problem Solution 19-5.5", journal="IMAGE, The Bulletin of ILAS", volume="20", year="1998", pages="30-31" } @article{AlKaWo:97, author = "A.Y. Alfakih and A. Khandani and H. Wolkowicz", TITLE = {Solving {E}uclidean distance matrix completion problems via semidefinite programming}, NOTE = {A tribute to Olvi Mangasarian}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {12}, YEAR = {1999}, NUMBER = {1-3}, PAGES = {13--30}, ISSN = {0926-6003}, CODEN = {CPPPEF}, MRCLASS = {90C22 (90C25)}, MRNUMBER = {2000e:90042}, MRREVR = {Christian Michelot}, } @inproceedings{KrWo:97, author="S. Kruk and H. Wolkowicz", TITLE = {{S}{Q}$^2${P}, sequential quadratic constrained quadratic programming}, BOOKTITLE = {Advances in {N}onlinear {P}rogramming (Beijing, 1996)}, PAGES = {177--204}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Dordrecht}, YEAR = {1998}, MRCLASS = {90C30 (65K05)}, MRNUMBER = {99f:90128}, } ############ YEAR 1996 @article{WoZh:96, author="H. Wolkowicz and Q. Zhao", TITLE = {Semidefinite programming relaxations for the graph partitioning problem}, NOTE = {Selected for the special Editors' Choice, Edition 1999}, JOURNAL = {Discrete Appl. Math.}, FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms, Optimization and Computer Science}, VOLUME = {96/97}, YEAR = {1999}, PAGES = {461--479}, ISSN = {0166-218X}, CODEN = {DAMADU}, MRCLASS = {90C35 (15A48 90C22)}, MRNUMBER = {1 724 735}, MRREVR = {Franz Rendl}, } } @article {KaReWoZh:94, AUTHOR = {Zhao, Q. and Karisch, S.E. and Rendl, F. and Wolkowicz, H.}, TITLE = {Semidefinite programming relaxations for the quadratic assignment problem}, NOTE = {{S}emidefinite {P}rogramming and {I}nterior-point {A}pproaches for {C}ombinatorial {O}ptimization {P}roblems (Fields Institute, Toronto, ON, 1996)}, JOURNAL = {J. Comb. Optim.}, FJOURNAL = {Journal of Combinatorial Optimization}, VOLUME = {2}, YEAR = {1998}, NUMBER = {1}, PAGES = {71--109}, ISSN = {1382-6905}, MRCLASS = {90C27 (90C26)}, MRNUMBER = {1616871}, MRREVIEWER = {Yin Zhang}, DOI = {10.1023/A:1009795911987}, URL = {https://doi.org/10.1023/A:1009795911987}, } ############ YEAR 1995 @article{JoKrWo:95, author = "C.R. Johnson and B. Kroschel and H. Wolkowicz", TITLE = {An interior-point method for approximate positive semidefinite completions}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {9}, YEAR = {1998}, NUMBER = {2}, PAGES = {175--190}, ISSN = {0926-6003}, CODEN = {CPPPEF}, MRCLASS = {90C25 (90C20)}, MRNUMBER = {99a:90154}, MRREVR = {Michael L. Dowling}, } @article{RaTuWo:95, author = "M.V. Ramana and L. Tun{\c{c}}el and H. Wolkowicz", TITLE = {Strong duality for semidefinite programming}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {7}, YEAR = {1997}, NUMBER = {3}, PAGES = {641--662}, ISSN = {1052-6234}, CODEN = {SJOPE8}, MRCLASS = {90C30 (49M35 49N15)}, MRNUMBER = {98m:90147}, MRREVR = {J.M. Borwein}, } @incollection{HePoReWo:95, author="C. Helmberg and S. Poljak and F. Rendl and H. Wolkowicz", TITLE = {Combining semidefinite and polyhedral relaxations for integer programs}, BOOKTITLE = {Integer {P}rogramming and {C}ombinatorial {O}ptimization (Copenhagen, 1995)}, PAGES = {124--134}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1995}, MRCLASS = {90C10 (90C27)}, MRNUMBER = {1 367 976}, } ############ YEAR 1994 @article{ReWo:94, author = "F. Rendl and H. Wolkowicz", TITLE = {A semidefinite framework for trust region subproblems with applications to large scale minimization}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {77}, YEAR = {1997}, NUMBER = {2, Ser. B}, PAGES = {273--299}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C20 (90C33)}, MRNUMBER = {98i:90063}, MRREVR = {M. Teboulle}, } @article {PoReWo:94, author = "S. Poljak and F. Rendl and H. Wolkowicz", TITLE = {A recipe for semidefinite relaxation for $(0,1)$-quadratic programming}, JOURNAL = {J. Global Optim.}, FJOURNAL = {Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering}, VOLUME = {7}, YEAR = {1995}, NUMBER = {1}, PAGES = {51--73}, ISSN = {0925-5001}, CODEN = {JGOPEO}, MRCLASS = {90C09 (90C27)}, MRNUMBER = {96d:90053}, MRREVR = {Paulo Barcia}, } @article {HeReVaWo:93, author = "C. Helmberg and F. Rendl and R.J. Vanderbei and H. Wolkowicz", TITLE = {An interior-point method for semidefinite programming}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {6}, YEAR = {1996}, NUMBER = {2}, PAGES = {342--361}, ISSN = {1052-6234}, CODEN = {SJOPE8}, MRCLASS = {90C30 (65K05 90C27)}, MRNUMBER = {97f:90086}, MRREVR = {Tam{\'a}s Terlaky}, } @incollection{prw:93, author="P. Pardalos and F. Rendl and H. Wolkowicz", TITLE = {The quadratic assignment problem: a survey and recent developments}, editor = "P.M. Pardalos and H. Wolkowicz", BOOKTITLE = {Quadratic assignment and related problems (New Brunswick, NJ, 1993)}, PAGES = {1--42}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1994}, MRCLASS = {90B80 (90C10 90C27)}, MRNUMBER = {95f:90040}, MRREVR = {Horst W. Hamacher}, } ############ YEAR 1993 @ARTICLE {FaReWo:92, author = "J. Falkner and F. Rendl and H. Wolkowicz", TITLE = {A computational study of graph partitioning}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {66}, YEAR = {1994}, NUMBER = {2, Ser. A}, PAGES = {211--239}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)}, MRNUMBER = {95h:90153}, MRREVR = {Yixun Lin}, } @article{sw5, author="R. Stern and H. Wolkowicz", TITLE = {Trust region problems and nonsymmetric eigenvalue perturbations}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {15}, YEAR = {1994}, NUMBER = {3}, PAGES = {755--778}, ISSN = {0895-4798}, CODEN = {SJMAEL}, MRCLASS = {15A18 (15A42 49R05)}, MRNUMBER = {95f:15009}, MRREVR = {Gerd M. Krause}, } @article{StWo:93, author="R. Stern and H. Wolkowicz", TITLE = {Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {5}, YEAR = {1995}, NUMBER = {2}, PAGES = {286--313}, ISSN = {1052-6234}, CODEN = {SJOPE8}, MRCLASS = {90C20 (65F15 65K05)}, MRNUMBER = {96h:90077}, MRREVR = {Panos M. Pardalos}, } @incollection{KaReWo:93, author="S.E. Karisch and F. Rendl and H. Wolkowicz", editors="P. Pardalos and H. Wolkowicz", TITLE = {Trust regions and relaxations for the quadratic assignment problem}, BOOKTITLE = {Quadratic assignment and related problems (New Brunswick, NJ, 1993)}, PAGES = {199--219}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1994}, MRCLASS = {90C20 (90C27)}, MRNUMBER = {95j:90053}, MRREVR = {Igor Litvinchev}, } @article{ReWo:90, author = "F. Rendl and H. Wolkowicz", TITLE = {A projection technique for partitioning the nodes of a graph}, NOTE = {Applied mathematical programming and modeling, II (APMOD 93) (Budapest, 1993)}, JOURNAL = {Ann. Oper. Res.}, FJOURNAL = {Annals of Operations Research}, VOLUME = {58}, YEAR = {1995}, PAGES = {155--179}, ISSN = {0254-5330}, MRCLASS = {90C35 (05C99)}, MRNUMBER = {96g:90096}, MRREVR = {Xue Liang Li}, } @article {PoWo:93, author = "S. Poljak and H. Wolkowicz", TITLE = {Convex relaxations of $(0,1)$-quadratic programming}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {20}, YEAR = {1995}, NUMBER = {3}, PAGES = {550--561}, ISSN = {0364-765X}, MRCLASS = {90C09 (90C20)}, MRNUMBER = {97b:90078}, } @article{w13, author="H. Wolkowicz", TITLE = {Measures for symmetric rank-one updates}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {19}, YEAR = {1994}, NUMBER = {4}, PAGES = {815--830}, ISSN = {0364-765X}, MRCLASS = {90C30 (65F05 65K05)}, MRNUMBER = {95h:90143}, } @article{WoZh:93, author="H. Wolkowicz and Q. Zhao", TITLE = {An all-inclusive efficient region of updates for least change secant methods}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {5}, YEAR = {1995}, NUMBER = {1}, PAGES = {172--191}, ISSN = {1052-6234}, CODEN = {SJOPE8}, MRCLASS = {90C30 (65K05)}, MRNUMBER = {95k:90096}, MRREVR = {Bernd Luderer}, } @article{Wolk:93, author="H. Wolkowicz", TITLE = {Explicit solutions for interval semidefinite linear programs}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {236}, YEAR = {1996}, PAGES = {95--104}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C26 (65G10 90C08)}, MRNUMBER = {96m:90058}, MRREVR = {Florian Jarre}, } @article {ReVaWo:93b, author = "F. Rendl and R. J. Vanderbei and H. Wolkowicz", title = "Max-min eigenvalue problems, primal-dual interior point algorithms, and trust region subproblems", institution = "Department of Combinatorics and Optimization", year = "1995", pages = "1-16", volume = "5", journal = oms, address = "Waterloo, Ont"} @article{DeWo:90, author="J.E. {Dennis Jr.} and H. Wolkowicz", TITLE = {Sizing and least-change secant methods}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {30}, YEAR = {1993}, NUMBER = {5}, PAGES = {1291--1314}, ISSN = {0036-1429}, CODEN = {SJNAAM}, MRCLASS = {90C30 (49M37 65K05)}, MRNUMBER = {94g:90107}, } ############ YEAR 1992 @article{HaReWo:89, author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.", TITLE = {A new lower bound via projection for the quadratic assignment problem}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {17}, YEAR = {1992}, NUMBER = {3}, PAGES = {727--739}, ISSN = {0364-765X}, MRCLASS = {90C27 (90C20)}, MRNUMBER = {93i:90080}, MRREVR = {M. C. Puri}, } @article{hrw2, author="S.W. Hadley and F. Rendl and H. Wolkowicz", TITLE = {Symmetrization of nonsymmetric quadratic assignment problems and the {H}offman-{W}ielandt inequality}, NOTE = {Sixth Haifa Conference on Matrix Theory (Haifa, 1990)}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {167}, YEAR = {1992}, PAGES = {53--64}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C27 (15A42 90B80)}, MRNUMBER = {93d:90050}, MRREVR = {Rainer Burkard}, } @article{jw2, author="Jeyakumar, V. and Wolkowicz, H.", TITLE = {Generalizations of {S}later's constraint qualification for infinite convex programs}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {57}, YEAR = {1992}, NUMBER = {1, Ser. B}, PAGES = {85--101}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C48 (49N15 90C25)}, MRNUMBER = {93e:90070}, MRREVR = {Doug Ward}, } @inproceedings{biw, author="Ben-Israel, A. and Wolkowicz, H.", title="A recursive volume reducing algorithm for semi-infinite linear programming", year="1992", booktitle="Systems and Management Science by Extremal Methods", publisher="Kluwer Academic Publishers", ADDRESS = {Boston, MA}, note="invited paper" } ############ YEAR 1991 ############ YEAR 1990 @inproceedings{hrw4, author="Hadley, S.W. and Rendl, F. and Wolkowicz, H.", title="Bounds for the quadratic assignment problems using continuous optimization", year="1990", booktitle="Integer Programming and Combinatorial Optimization", publisher="University of Waterloo Press", pages="237-248", address="Waterloo, Ontario, Canada", editors="W.R. Pulleyblank and Ravi Kannan" } @article{jw1, author="Jeyakumar, V. and Wolkowicz, H.", TITLE = {Zero duality gaps in infinite-dimensional programming}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {67}, YEAR = {1990}, NUMBER = {1}, PAGES = {87--108}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {49N15 (90C48)}, MRNUMBER = {92a:49062}, MRREVR = {R. N. Kaul}, } @article{stw4, author="Stern, R.J. and Wolkowicz, H.", title="Results on invariant cones", journal=laa, note="Proceedings from the Haifa Matrix Theory Conference, June 1990", year="1991", volume="166", pages="1-26" } ############ YEAR 1989 @article{BeatsonWolk:89, author="R. Beatson and H. Wolkowicz", TITLE = {Post-processing piecewise cubics for monotonicity}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {26}, YEAR = {1989}, NUMBER = {2}, PAGES = {480--502}, ISSN = {0036-1429}, CODEN = {SJNAAM}, MRCLASS = {65D07 (41A05 41A25)}, MRNUMBER = {90i:65019}, MRREVR = {Zhen Xiang Xiong}, } @article{ReWo:89, author="Rendl, F. and Wolkowicz, H.", TITLE = {Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {53}, YEAR = {1992}, NUMBER = {1, Ser. A}, PAGES = {63--78}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C35 (90C20 90C30)}, MRNUMBER = {93c:90098}, MRREVR = {M. C. Puri}, } ############ YEAR 1988 @article{swz, author="Sutherland, W.R.S. and Wolkowicz, H. and Zeidan, V.", TITLE = {An explicit linear solution for the quadratic dynamic programming problem}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {58}, YEAR = {1988}, NUMBER = {2}, PAGES = {319--330}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {49C20 (49D40 90C39 93C55)}, MRNUMBER = {89e:49023}, } ############ YEAR 1987 @incollection{ws5, author="Wolkowicz, H. and Styan, G.P.H.", title= "{S}amuelson's Inequality", booktitle="Encyclopedia of Statistical Sciences", year="1987", editor=" S. Kotz and N. Johnson", publisher="Wiley-Interscience", Volume="8", note="invited paper" } @article{gjmw4, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {Normal matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {87}, YEAR = {1987}, PAGES = {213--225}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A57}, MRNUMBER = {88a:15045}, MRREVR = {L. Rodman}, } ############ YEAR 1986 @article{smw2, author="Smith, P.W. and Wolkowicz, H.", TITLE = {A nonlinear equation for linear programming}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {34}, YEAR = {1986}, NUMBER = {2}, PAGES = {235--238}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C05}, MRNUMBER = {87j:90082}, } @article{BoWo:86, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {A simple constraint qualification in infinite-dimensional programming}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {35}, YEAR = {1986}, NUMBER = {1}, PAGES = {83--96}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C48}, MRNUMBER = {87i:90321}, MRREVR = {W. W. Breckner}, } @article{gjmw3, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {A note on maximizing the permanent of a positive definite {H}ermitian matrix, given the eigenvalues}, JOURNAL = {Linear and Multilinear Algebra}, FJOURNAL = {Linear and Multilinear Algebra}, VOLUME = {19}, YEAR = {1986}, NUMBER = {4}, PAGES = {389--393}, ISSN = {0308-1087}, CODEN = {LNMLAZ}, MRCLASS = {15A15}, MRNUMBER = {88b:15006}, MRREVR = {H. Minc}, } ############ YEAR 1985 @article{mw, author="J. Merikoski and H. Wolkowicz", TITLE = {Improving eigenvalue bounds using extra bounds}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {68}, YEAR = {1985}, PAGES = {93--113}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A42 (65F15)}, MRNUMBER = {87e:15038}, } @article{lw, author="M. Lamoureux and H. Wolkowicz", TITLE = {Numerical decomposition of a convex function}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {47}, YEAR = {1985}, NUMBER = {1}, PAGES = {51--64}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {90C25 (26A51)}, MRNUMBER = {87a:90107}, MRREVR = {Jacques A. Ferland}, } @article{jkw, author="Johnson, C.R. and Kumar, R. and Wolkowicz, H.", TITLE = {Lower bounds for the spread of a matrix}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {71}, YEAR = {1985}, PAGES = {161--173}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A42}, MRNUMBER = {87a:15027}, MRREVR = {Thomas L. Markham}, } @article{bjw, author="Butler, G. and Johnson, C.R. and Wolkowicz, H.", TITLE = {Nonnegative solutions of a quadratic matrix equation arising from comparison theorems in ordinary differential equations}, JOURNAL = {SIAM J. Algebraic Discrete Methods}, FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on Algebraic and Discrete Methods}, VOLUME = {6}, YEAR = {1985}, NUMBER = {1}, PAGES = {47--53}, ISSN = {0196-5212}, CODEN = {STAMDU}, MRCLASS = {34C11 (15A48)}, MRNUMBER = {86f:34072}, MRREVR = {G. J. Etgen}, } ############ YEAR 1984 @article{smw1, author="Smith, P.W. and Wolkowicz, H.", TITLE = {Dimensionality of bi-infinite systems}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {57}, YEAR = {1984}, PAGES = {115--130}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A22 (15A21 15A54 41A05)}, MRNUMBER = {86c:15010}, } @article{gjmw2, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {Improving {H}adamard's inequality}, JOURNAL = {Linear and Multilinear Algebra}, FJOURNAL = {Linear and Multilinear Algebra}, VOLUME = {16}, YEAR = {1984}, NUMBER = {1-4}, PAGES = {305--322}, ISSN = {0308-1087}, CODEN = {LNMLAZ}, MRCLASS = {15A42 (15A15 15A45)}, MRNUMBER = {87b:15024}, } @article{GrJoSaWo:84, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {Positive definite completions of partial {H}ermitian matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {58}, YEAR = {1984}, PAGES = {109--124}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {05C50 (15A57)}, MRNUMBER = {85d:05169}, MRREVR = {Larry Basen{\v{s}}piler}, } @article{Grone, author="Grone, B. and Johnson, C.R. and Marques de Sa, E. and Wolkowicz, H.", TITLE = {Positive definite completions of partial {H}ermitian matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {58}, YEAR = {1984}, PAGES = {109--124}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {05C50 (15A57)}, MRNUMBER = {85d:05169}, MRREVR = {Larry Basen{\v{s}}piler}, } ############ YEAR 1983 @article{msw, author="Merikoski, J. and Styan, G.P.H. and Wolkowicz, H.", TITLE = {Bounds for ratios of eigenvalues using traces}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {55}, YEAR = {1983}, PAGES = {105--124}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A42 (65F15)}, MRNUMBER = {85a:15019}, MRREVR = {Ludwig Elsner}, } @incollection{w5, author ="H. Wolkowicz", TITLE = {Optimality conditions and shadow prices}, BOOKTITLE = {Mathematical programming with data perturbations, II (Washington, D.C., 1980)}, PAGES = {49--63}, PUBLISHER = {Dekker}, ADDRESS = {New York}, YEAR = {1983}, MRCLASS = {90C25}, MRNUMBER = {85b:90056}, MRREVR = {J. E. Spingarn}, } @article{w4, author="H. Wolkowicz", TITLE = {Method of reduction in convex programming}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {40}, YEAR = {1983}, NUMBER = {3}, PAGES = {349--378}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {90C25}, MRNUMBER = {85d:90077}, MRREVR = {S. Zlobec}, } @article{w3, author="H. Wolkowicz", TITLE = {An optimality condition for a nondifferentiable convex program}, JOURNAL = {Naval Res. Logist. Quart.}, FJOURNAL = {Naval Research Logistics Quarterly}, VOLUME = {30}, YEAR = {1983}, NUMBER = {3}, PAGES = {415--418}, ISSN = {0028-1441}, CODEN = {NRLQAR}, MRCLASS = {90C25}, MRNUMBER = {85a:90181}, } ############ YEAR 1982 @article{bw4, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {Characterizations of optimality without constraint qualification for the abstract convex program}, NOTE = {Optimality and stability in mathematical programming}, JOURNAL = {Math. Programming Stud.}, FJOURNAL = {Mathematical Programming Study}, volume = {19}, YEAR = {1982}, PAGES = {77--100}, ISSN = {0303-3929}, CODEN = {MPSTDF}, MRCLASS = {90C25}, DOI = {10.1007/BFb0120983}, MRNUMBER = {83k:90083}, URL = {http://www.springerlink.com.proxy.lib.uwaterloo.ca/content/q484808423l21876/} } ############ YEAR 1981 @article{w12, author="H. Wolkowicz", TITLE = {A strengthened test for optimality}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {35}, YEAR = {1981}, NUMBER = {4}, PAGES = {497--515}, ISSN = {0022-3239}, CODEN = {JOTABN}, MRCLASS = {90C25}, MRNUMBER = {84d:90088}, MRREVR = {Szymon Dolecki}, } @article{bw1, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {Facial reduction for a cone-convex programming problem}, JOURNAL = {J. Austral. Math. Soc. Ser. A}, FJOURNAL = {Australian Mathematical Society. Journal. Series A}, VOLUME = {30}, YEAR = {1980/81}, NUMBER = {3}, PAGES = {369--380}, ISSN = {0263-6115}, CODEN = {JAMADS}, MRCLASS = {90C25}, MRNUMBER = {83b:90121}, MRREVR = {B. T. Polyak}, } @article{bw2, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {Characterization of optimality for the abstract convex program with finite-dimensional range}, JOURNAL = {J. Austral. Math. Soc. Ser. A}, FJOURNAL = {Australian Mathematical Society. Journal. Series A}, VOLUME = {30}, YEAR = {1980/81}, NUMBER = {4}, PAGES = {390--411}, ISSN = {0263-6115}, CODEN = {JAMADS}, MRCLASS = {90C48}, MRNUMBER = {83i:90156}, MRREVR = {R. L. Graves}, } @article{bw3, author="Borwein, J.M. and Wolkowicz, H.", TITLE = {Regularizing the abstract convex program}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {83}, YEAR = {1981}, NUMBER = {2}, PAGES = {495--530}, ISSN = {0022-247X}, CODEN = {JMANAK}, MRCLASS = {90C48 (90C25)}, MRNUMBER = {83d:90236}, MRREVR = {S. Zlobec}, } @article{w11, author="H. Wolkowicz", TITLE = {Some applications of optimization in matrix theory}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {40}, YEAR = {1981}, PAGES = {101--118}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {90C25 (15A48 65K05 90C05)}, MRNUMBER = {84a:90067}, } @inproceedings{bw6, author="J.M. Borwein and H. Wolkowicz", title="Cone-convex programming stability and affine constraint functions", year="1981", booktitle="Generalized Concavity in Optimization and Economics", publisher="Academic Press", pages="379-397", note="invited paper", organization="NATO conference" } ############ YEAR 1980 @article{w8, author="H. Wolkowicz", TITLE = {Geometry of optimality conditions and constraint qualifications: the convex case}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {19}, YEAR = {1980}, NUMBER = {1}, PAGES = {32--60}, ISSN = {0025-5610}, CODEN = {MHPGA4}, MRCLASS = {90C25}, MRNUMBER = {83b:90130}, } @article{ws3, author="Wolkowicz, H. and Styan, G.P.H", title="A history of {S}amuelson's inequality", journal=amers, year="1980", volume="34", pages="250" } @article{w10, author="H. Wolkowicz", TITLE = {Shadow prices for an unstable convex program}, JOURNAL = {Utilitas Math.}, FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied Mathematics, Computer Science, and Statistics}, VOLUME = {18}, YEAR = {1980}, PAGES = {119--139}, ISSN = {0315-3681}, CODEN = {UTMADA}, MRCLASS = {90C25}, MRNUMBER = {82d:90100}, MRREVR = {Roger Hartley}, } @article{ws1, author="Wolkowicz, H. and Styan, G.P.H", TITLE = {More bounds for eigenvalues using traces}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {31}, YEAR = {1980}, PAGES = {1--17}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A18 (65F15)}, MRNUMBER = {81k:15016}, MRREVR = {J. Segethov{\'a}}, } @article{ws2, author="Wolkowicz, H. and Styan, G.P.H.", TITLE = {Bounds for eigenvalues using traces}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {29}, YEAR = {1980}, PAGES = {471--506}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A18}, MRNUMBER = {81k:15015}, MRREVR = {M. Shafqat Ali}, } @article{w2, author="H. Wolkowicz", TITLE = {Convex programs with equivalent duals}, JOURNAL = {Appl. Math. Notes}, FJOURNAL = {Applied Mathematics Notes}, VOLUME = {5}, YEAR = {1980}, NUMBER = {2}, PAGES = {45--62}, ISSN = {0700-9224}, MRCLASS = {90C25}, MRNUMBER = {81h:90121}, } ############ YEAR 1979 @article{ws4, author="Wolkowicz, H. and Styan, G.P.H.", TITLE = {Extensions of {S}amuelson's inequality}, JOURNAL = {Amer. Statist.}, FJOURNAL = {The American Statistician}, VOLUME = {33}, YEAR = {1979}, NUMBER = {3}, PAGES = {143--144}, ISSN = {0003-1305}, CODEN = {ASTAAJ}, MRCLASS = {62G30 (60E15)}, MRNUMBER = {80h:62038}, } @article{w1, author="H. Wolkowicz", TITLE = {Calculating the cone of directions of constancy}, JOURNAL = {J. Optim. Theory Appl.}, VOLUME = {25}, YEAR = {1978}, NUMBER = {3}, PAGES = {451--457}, MRCLASS = {90C25}, MRNUMBER = {58 #25996}, } @article{wz, author="Wolkowicz, H. and Zlobec, S.", TITLE = {Calculating the best approximate solution of an operator equation}, JOURNAL = {Math. Comp.}, VOLUME = {32}, YEAR = {1978}, NUMBER = {144}, PAGES = {1183--1213}, MRCLASS = {65J05 (47A50)}, MRNUMBER = {58 #13701}, MRREVR = {P. M. Anselone}, } @article{stw3, author="Stern, R.J. and H. Wolkowicz", TITLE = {A note on generalized invariant cones and the {K}ronecker canonical form}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {147}, YEAR = {1991}, PAGES = {97--100}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A22 (15A18 15A48)}, MRNUMBER = {92e:15018}, } @article{stw2, author="Stern, R.J. and Wolkowicz, H.", TITLE = {Exponential nonnegativity on the ice cream cone}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {12}, YEAR = {1991}, NUMBER = {1}, PAGES = {160--165}, ISSN = {0895-4798}, CODEN = {SJMAEL}, MRCLASS = {15A48}, MRNUMBER = {92j:15013}, MRREVR = {Raphael Loewy}, } @article{stw1, author="Stern, R.J. and Wolkowicz, H.", TITLE = {Invariant ellipsoidal cones}, BOOKTITLE = {Proceedings of the First Conference of the International Linear Algebra Society (Provo, UT, 1989)}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {150}, YEAR = {1991}, PAGES = {81--106}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15A48}, MRNUMBER = {92h:15014}, MRREVR = {Raphael Loewy}, } ############ #### Problems and Solutions ###### %Refereed Problems and Solutions @article{Wolk:siam94, author="Wolkowicz, H.", title="Problem Solution 93-17", journal="SIAM Review", volume="36", number="4", year="1994", pages="657-659" } @article{jww, author="Johnson, C.R. and Wolkowicz, G. and Wolkowicz, H.", title= "Elem. Prob. E. 3234", journal=amerm, year="1987", volume="94", pages="877" } @article{bsw, author="Borwein, J.M. and Styan, G.P.H. and Wolkowicz, H.", title="Some inequalities involving statistical expressions", journal="SIAM Review", year="1982", volume="24", pages="340-342" } @article{w14, author="H. Wolkowicz", title="A constrained matrix optimization problem", journal="SIAM Review 23", year="1981", volume="101" } ############ #### THESES ###### @phdthesis{w15, author="H. Wolkowicz", title="Constructive approaches to approximate solutions of operator equations and convex programming", school="McGill University", year="1978" } @mastersthesis{w9, author="H. Wolkowicz", title= "Kantorovich's general theory of approximation methods", school="McGill University", year="1975", note="M.Sc. Thesis" } ############ #### Unpublished Research Reports... book reviews ... problems ... ###### @article{piccwolk:05, author="Piccialli, V. and Wolkowicz, H.", title= "Solution to Problem 34-6.1", journal="{IMAGE}-The Bulletin of the International Linear Algebra Society", year="2005", volume="35", pages="33-34" } @article{wolkieee:2006, author="H. Wolkowicz", title = "Book Review of: {O}ptimization: {I}nsights and {A}pplications, by {B}rinkhuis and {T}ikhomirov", journal="IEEE Control Systems Magazine", pages = "", year="2007", } @techreport{AlWo:98, author = "A.Y. Alfakih and H. Wolkowicz", title = "On the embeddability of weighted graphs in {E}uclidean spaces", institution = "University of Waterloo", number = "CORR 98-12", year = "1998", } @techreport{Wo:00, author = "A.Y. Alfakih and H. Wolkowicz", title = "A New Semidefinite Programming Model for Large Sparse {E}uclidean Distance Matrix Completion Problems", institution = "University of Waterloo", number = "CORR 2000-37", year = "2000", address = "Waterloo, Canada" } @techreport{CheungKrislWo:10, author = "Cheung, Y-L. and Krislock, N. and Wolkowicz, H.", title = "Facial Reduction for Compressive Sensing", institution="University of Waterloo", number="CORR 2010", note = "in progress", address="Waterloo, Ontario", year="2010" } @techreport{AnWo:99, author="M.F. Anjos and H. Wolkowicz", title = "A STRENGTHENED {SDP} RELAXATION via a SECOND LIFTING for the {M}AX-{C}UT PROBLEM", institution="University of Waterloo", number="CORR 99-55", note = "28 pages", address="Waterloo, Ontario", year="1999", } @techreport{GrKrReWo:98, author="G. Gruber and S. Kruk and F. Rendl and H. Wolkowicz", title = "Presolving for Semidefinite Programs Without Constraint Qualifications", institution="University of Waterloo", number="CORR 98-32", address="Waterloo, Ontario", year="1998", } @techreport{AnjosHighWolk:01, author="M.F. Anjos and N. Krislock and M. Takouda and H. Wolkowicz", title = "A semidefinite programming approach for the closest correlation matrix problem", institution="University of Waterloo", number="in progress", address="Waterloo, Ontario", year="2009", } @techreport{KrislockRendlWolk:10, author = "Krislock, N. and Rendl, F. and Wolkowicz, H.", title = "Noisy Sensor Network Localization using Semidefinite Representations and Facial Reduction", institution="University of Waterloo", number="CORR 2010-01, in progress", address="Waterloo, Ontario", year="2010" } @article {MR2295140forward, AUTHOR = { E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and S. Zhang }, TITLE = {Foreword: special issue on large-scale nonlinear and semidefinite programming}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {109}, YEAR = {2007}, NUMBER = {2-3, Ser. B}, PAGES = {207-209}, ISSN = {0025-5610}, MRCLASS = {90-06 (90C06 90C32)}, MRNUMBER = {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.Y. Alfakih and H. Wolkowicz", title = "{E}uclidean Distance Matrices and the Molecular Conformation Problem", institution="University of Waterloo", number="17", address="Waterloo, Ontario", year="2002" } @techreport{Wolk:02, author = "H. Wolkowicz", title = "Semidefinite Programming", institution="University of Waterloo", number="4", address="Waterloo, Ontario", year="2002" } @techreport{ReSoWo:02, author = "F. Rendl and R. Sotirov and H. Wolkowicz", title = "A Note on a Simplified {HKM} Direction for Special Classes of {SDP}", institution = "University of Waterloo", number = "CORR Report 2002-16", year = "2002", address = "Waterloo, Canada" } @techreport{KrPiWo:06, author = "Krislock, N. and Piccialli, V. and H. Wolkowicz", title = "Robust Semidefinite Programming Approaches for Sensor Network Localization with Anchors", institution="University of Waterloo", number="CORR 2006-12", note="URL:orion.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ABSTRACTS.html\#sensorKPW", address="Waterloo, Ontario", year="2006" } @article {MR2295140, AUTHOR = { E. Andersen and E. de Klerk and L. Tun{\c{c}}el and H. Wolkowicz and S. Zhang }, TITLE = {Foreword: special issue on large-scale nonlinear and semidefinite programming}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {109}, YEAR = {2007}, NUMBER = {2-3, Ser. B}, PAGES = {207-209}, ISSN = {0025-5610}, MRCLASS = {90-06 (90C06 90C32)}, MRNUMBER = {MR2295140}, } @article {MR2290680, AUTHOR = { R. Bhatia and R. Guralnick and S. Kirkland and H. Wolkowicz}, TITLE = {Preface to the 12th {ILAS} {C}onference {P}roceedings, {R}egina 2005}, NOTE = {Held in Regina, SK, June 26--29, 2005}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {421}, YEAR = {2007}, NUMBER = {1}, PAGES = {1--2}, ISSN = {0024-3795}, CODEN = {LAAPAW}, MRCLASS = {15-06}, MRNUMBER = {MR2290680}, } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Graduate Students Theses: @mastersthesis{NaomiGraham:20, author="Naomi Graham", title="A Blueprint for Semidefinite Relaxations of Binary-Constrained Quadratic Programs", school="University of Waterloo", URL={https://www.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisADMM_QAP.pdf}, year="2020" } @mastersthesis{MingyuYang:19, author="Mingyu. Yang", title="Uncertainty Set Sizes, Sensitivity Analysis, in Robust Portfolio Optimization", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/MingyuYangCM-eresearchpaper-printcopy.pdf}, year="2019" } @mastersthesis{RyanHughes:19, author="Ryan Hughes", title="Updated Stable Method for LP", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/UpdatedStableMethod_RyanHughes_UWformat.pdf}, year="2019" } @phdthesis{HaesolIm:2022, author="J. Im", title="On the Implicit Loss of Surjectivity and Applications Splitting Method and Interior Point Method", school="University of Waterloo", publisher={UWSpace}, year="2022" } @phdthesis{Sremac:2019, author="S. Sremac", title="Error bounds and singularity degree in semidefinite programming", school="University of Waterloo", publisher={UWSpace}, URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/stefanphdthesisdec.pdf}, year="2019" } @mastersthesis{HaesolIm:19, author="J. (Haesol) Im", title="Sensitivity Analysis and Robust Optimization: A Geometric Approach for the Special Case of Linear Optimization", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/sunethesis.pdf}, year="2018" } @mastersthesis{HaoSun:16, author="H. Sun", title="{ADMM} for {SDP} Relaxation of {GP}", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/sunethesis.pdf}, year="2016" } @mastersthesis{ZhenyuLiao:16, author="Z. Liao", title="Branch and Bound via {ADMM} for the Quadratic Assignment Problem", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/alisterthesis.pdf}, year="2016" } @mastersthesis{XinghangYe:16, author="X. Ye", title="Low Rank Matrix Completion through Semi-definite Programming with Facial Reduction", school="University of Waterloo", URL={http://www.math.uwaterloo.ca/~hwolkowi//henry/reports/xinghangthesis.pdf}, year="2016" } @phdthesis{Cheung:2013, author="Y.-L. Cheung", title="Preprocessing and Reduction for Semidefinite Programming via Facial Reduction: Theory and Practice", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesisvrisnov13.pdf}, year="2013" } @phdthesis{Lin:2013, author="M. Lin", title="Angles, Majorization, Wielandt Inequality and Applications", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/thesismingmay613.pdf}, year="2013" } @phdthesis{krislock:2010, author="N. Krislock", title="Semidefinite Facial Reduction for Low-Rank {E}uclidean Distance Matrix Completion", school="University of Waterloo", URL={http://uwspace.uwaterloo.ca/handle/10012/5093}, year="2010" } @phdthesis{wei:2005, author="H. Wei", title="Numerical Stability in Linear Programming and Semidefinite Programming", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#weithesis}, year="2006" } @phdthesis{MarinaThesis, author="M. Potaptchik", title="Portfolio Selection Under Nonsmooth Convex Transaction Costs", school="University of Waterloo", year="2006" } @phdthesis{Kruk:01, author="S. Kruk", title="High Accuracy Algorithms for the Solutions of Semidefinite Linear Programs", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01}, year="2001" } @mastersthesis{Oleg:04, author="O. Grodzevich", title="Regularization Using a Parameterized Trust Region Subproblem", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#regularizthesis}, year="2004" } @mastersthesis{Yichuan:07, author="Y. Ding", title="On Efficient Semidefinite Relaxations for Quadratically Constrained Quadratic Programming", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#yichuanthesis}, year="2007" } @mastersthesis{Danielc:10, author="X. Cui", title="Computing the Nearest Correlation Matrix using Difference Map Method", school="University of Waterloo", year="2010" } @mastersthesis{HengYe:11, author="H. Ye", title="Efficient Trust Region Subproblem Algorithms", school="University of Waterloo", year="2011" } @mastersthesis{Fortin:00, author="C. Fortin", title="A Survey of the Trust Region Subproblem within a Semidefinite Framework", school="University of Waterloo", year="2000" } @mastersthesis{Froh:03, author="M. Froh", title="Trust Region Subproblems and Linear Least-Squares Regularization", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#mikefroh03}, year="2003" } @mastersthesis{Kruk:96, author="S. Kruk", title="Semidefinite Programming Applied to Nonlinear Programming", school="University of Waterloo", year="1996" } @phdthesis{zhao:96, author="Q. Zhao", title="Semidefinite Programming for Assignment and Partitioning Problems", school="University of Waterloo", year="1996" } @phdthesis{Anjosthesis, author="M.F. Anjos", title="New Convex Relaxations for the Maximum Cut and VLSI Layout Problems", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#miguelphdmay01}, year="2001" } @mastersthesis{qz, author="Q. Zhao", title="Measures for Least Change Secant Methods", school="University of Waterloo", year="1993", } @mastersthesis{schaecke:04, author="K. Schaecke", title="Essay on: The {K}ronecker Product", school="University of Waterloo", URL={http://orion.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/ABSTRACTS.html#kron04}, year="2004", } @mastersthesis{skarisch:92, author="S.E. Karisch", title="Trust Regions and the Quadratic Assignment Problem", school="University of Waterloo", year="1992" } @phdthesis{hadley:89, author="S.W. Hadley", title="Continuous Optimization Approaches to the Quadratic Assignment Problem", school="University of Waterloo", year="1989" } @mastersthesis{lund:88, author="J. Lund", title="Optimal Vehicle Replacement Policy", school="University of Waterloo", year="1988" } @mastersthesis{stephan:85, author="P. Stephan", title="An Explicit Solution to the Quadratic Dynamic Programming Problem", school="Emory University", year="1985" } @mastersthesis{schoettle:85, author="C. Schoettle", title="The Teaching Assignment Problem", school="Emory University", year="1985" } @mastersthesis{kumar:84, author="R. Kumar", title="Bounds for Eigenvalues", school="University of Alberta", year="1984" }