# 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" }