# 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, TITLE = {Fixed-point algorithms for inverse problems in science and engineering}, SERIES = {Springer Optimization and Its Applications}, VOLUME = {49}, EDITOR = {Bauschke, Heinz H. and Burachik, Regina S. and Combettes, Patrick L. and Elser, Veit and Luke, D. Russell and Wolkowicz, Henry}, PUBLISHER = {Springer, New York}, YEAR = {2011}, PAGES = {xii+402}, ISBN = {978-1-4419-9568-1}, MRCLASS = {49-06 (47-06 49N45 65-06 90-06)}, MRNUMBER = {2858828}, DOI = {10.1007/978-1-4419-9569-8}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-9569-8}, } @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, AUTHOR = {Andersen, Erling and de Klerk, Etienne and Tun\c{c}el, Levent and Wolkowicz, Henry and Zhang, Shuzhong}, 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}, PAGES = {207--209}, ISSN = {0025-5610,1436-4646}, MRCLASS = {90-06 (90C06 90C32)}, MRNUMBER = {2295140}, DOI = {10.1007/s10107-006-0037-9}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-006-0037-9}, } @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}, } @book {PardWolk:02, TITLE = {Novel approaches to hard discrete optimization}, SERIES = {Fields Institute Communications}, VOLUME = {37}, EDITOR = {Pardalos, Panos and Wolkowicz, Henry}, NOTE = {Papers from the workshop held at the University of Waterloo, Waterloo, ON, April 26--28, 2001}, PUBLISHER = {American Mathematical Society, Providence, RI}, YEAR = {2003}, PAGES = {viii+181}, ISBN = {0-8218-3248-4}, MRCLASS = {00B25 (68-06 90-06)}, MRNUMBER = {1987230}, DOI = {10.1090/fic/037}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/fic/037}, } @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, Nathan and Wolkowicz, Henry}, TITLE = {Euclidean distance matrices and applications}, BOOKTITLE = {Handbook on semidefinite, conic and polynomial optimization}, SERIES = {Internat. Ser. Oper. Res. Management Sci.}, VOLUME = {166}, PAGES = {879--914}, PUBLISHER = {Springer, New York}, YEAR = {2012}, ISBN = {978-1-4614-0768-3}, MRCLASS = {62H11 (15A99 90C22)}, MRNUMBER = {2894673}, DOI = {10.1007/978-1-4614-0769-0\_30}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-0769-0_30}, } @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, New York}, YEAR = {2010}, MRCLASS = {15A42 (90C25 90C31 90C32)}, MRNUMBER = {2581881}, MRREVIEWER = {Jorma Kaarlo Merikoski}, DOI = {10.1007/978-1-4419-0158-3\_29}, URL = {https://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 = {Wolkowicz, Henry}, 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., Dordrecht}, YEAR = {2000}, ISBN = {0-7923-6646-8}, MRCLASS = {90C27 (90C22)}, MRNUMBER = {1893727}, DOI = {10.1007/978-1-4757-3155-2\_7}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4757-3155-2_7}, } @incollection{AlWo:99, AUTHOR = {Alfakih, Abdo and Wolkowicz, Henry}, 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., Boston, MA}, YEAR = {2000}, ISBN = {0-7923-7771-0}, MRCLASS = {90C22 (65F30)}, MRNUMBER = {1778240}, DOI = {10.1007/978-1-4615-4381-7\_18}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4615-4381-7_18}, } @incollection{NeWoYe:99, AUTHOR = {Nesterov, Yuri and Wolkowicz, Henry and Ye, Yinyu}, 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., Boston, MA}, YEAR = {2000}, ISBN = {0-7923-7771-0}, MRCLASS = {90C22 (90C26)}, MRNUMBER = {1778235}, DOI = {10.1007/978-1-4615-4381-7\_13}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4615-4381-7_13}, } @incollection{KrukWolk:99, AUTHOR = {Kruk, Serge and Wolkowicz, Henry}, 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., Boston, MA}, YEAR = {2000}, ISBN = {0-7923-7771-0}, MRCLASS = {90C22 (90C55)}, MRNUMBER = {1778242}, DOI = {10.1007/978-1-4615-4381-7\_20}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4615-4381-7_20}, } @incollection{wolkcamb:99, AUTHOR = {Wolkowicz, Henry}, TITLE = {Semidefinite and {L}agrangian relaxations for hard combinatorial problems}, BOOKTITLE = {System modelling and optimization ({C}ambridge, 1999)}, PAGES = {269--309}, PUBLISHER = {Kluwer Acad. Publ., Boston, MA}, YEAR = {2000}, ISBN = {0-7923-7881-4}, MRCLASS = {90C22 (90C27)}, MRNUMBER = {1770276}, MRREVIEWER = {Peter\ Butkovi\v c}, } @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 ############################### ###2024########################## @techreport{SujGhadWeaWolk:24, title = "Fast Projection and Optimization over the Simplex", author = "S. Ghadimi and A. Sujanani and H. Wolkowicz", institution="University of Waterloo", note = "33 pages, research report, near completion", address = "Waterloo, Ontario", year="2024" } @techreport{GhadLeoArnDavidWolk:25, title = "New Insights and Algorithms for Optimal Diagonal Preconditioning", author = "S. Ghadimi and W.L. Jung and A. Sujanani and D. Torregrosa-Bel\'en and H. Wolkowicz", institution="University of Waterloo", note = "33 pages, Sept. arXiv 2509.23439 NOT-submitted", address = "Waterloo, Ontario", year="2025" } @techreport{GhadLeoArnDavidWolk:26, title = "Optimal Diagonal Preconditioning Beyond Worst-Case Conditioning: Theory and Practice of Omega Scaling", author = "S. Ghadimi and W.L. Jung and A. Sujanani and D. Torregrosa-Bel\'en and H. Wolkowicz", institution="University of Waterloo", note = "36 pages, April. arXiv 2509.23439", address = "Waterloo, Ontario", year="2026" } @incollection{AlfJungWolkXu:24, title = "Single element error correcction in a {E}uclidean distance matrix", author = "A. Alfakih and W.L. Jung and H. Wolkowicz and T. Xu", institution="Fields", note = "to appear", series = "Fields Institute Communications", publisher = "Springer", year="2026" } @article{JungTorrWolkOmega2024, AUTHOR = {Jung, Woosuk L. and Torregrosa-Bel\'en, David and Wolkowicz, Henry}, TITLE = {The {$\omega$}-condition number: applications to preconditioning and low rank generalized {J}acobian updating}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {91}, YEAR = {2025}, NUMBER = {1}, PAGES = {235--282}, ISSN = {0926-6003,1573-2894}, MRCLASS = {65F35 (15A12 49J52 65F08 65G50)}, MRNUMBER = {4882944}, DOI = {10.1007/s10589-025-00669-w}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-025-00669-w}, } @article{SongDonglasLeoCarlile:24, AUTHOR = {Song, Mengmeng and Gon\c{c}alves, Douglas S. and Jung, Woosuk L. and Lavor, Carlile and Mucherino, Antonio and Wolkowicz, Henry}, TITLE = {On the local and global minimizers of the smooth stress function in {E}uclidean distance matrix problems}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {727}, YEAR = {2025}, PAGES = {234--267}, ISSN = {0024-3795,1873-1856}, MRCLASS = {51K05 (65K10 90C26)}, MRNUMBER = {4951237}, MRREVIEWER = {Masoumeh\ Aghajani}, DOI = {10.1016/j.laa.2025.08.012}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2025.08.012}, } @incollection{WassersteinAlfakihetalRevised:24, title = "Exact solutions for the {NP}-hard {W}asserstein barycenter problem using a doubly nonnegative relaxation and a splitting method", author = "Woosuk L. Jung and Henry Wolkowicz", institution="University of Waterloo", note = "21 pages, to appear", address = "Waterloo, Ontario", series = "Springer Optimization and its Applications", publisher = "Springer", year="2024" } @article {MR4973824, AUTHOR = {Barshad, Kay and Censor, Yair and Moursi, Walaa and Weames, Tyler and Wolkowicz, Henry}, TITLE = {Publisher correction: {A} necessary condition for the guarantee of the superiorization method}, JOURNAL = {Optim. Lett.}, FJOURNAL = {Optimization Letters}, VOLUME = {19}, YEAR = {2025}, NUMBER = {8}, PAGES = {1715--1716}, ISSN = {1862-4472,1862-4480}, MRCLASS = {90C30 (90C31)}, MRNUMBER = {4973824}, DOI = {10.1007/s11590-025-02197-2}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-025-02197-2}, } @article{NecCondSuperioriz:24, AUTHOR = {Barshad, Kay and Censor, Yair and Moursi, Walaa and Weames, Tyler and Wolkowicz, Henry}, TITLE = {A necessary condition for the guarantee of the superiorization method}, JOURNAL = {Optim. Lett.}, FJOURNAL = {Optimization Letters}, VOLUME = {19}, YEAR = {2025}, NUMBER = {8}, PAGES = {1699--1714}, ISSN = {1862-4472,1862-4480}, MRCLASS = {90C30 (90C31)}, MRNUMBER = {4973823}, DOI = {10.1007/s11590-025-02192-7}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-025-02192-7}, } @techreport{ImJungMoursiDavidToWolk:24, author = {H. Im and W.L. Jung and D. Torregrosa-Belen and H. Wolkowicz}, title = "Projection, Degeneracy, and Singularity Degree for Spectrahedra", institution = {University of Waterloo}, address = {Waterloo, Canada}, note = {38 pages, revision submitted 2026}, year = "2024", } ###2023########################## @techreport{CensorMoursiWeamsWolk:22, title = "Regularized Nonsmooth {N}ewton Algorithms for Best Approximation with Applications", author = "Y. Censor and and W. Moursi and T. Weames and H. Wolkowicz", institution="University of Waterloo", note = "37 pages, research report, under revision", address = "Waterloo, Ontario", year="2022 under revision", } @techreport{WangWolk:22, doi = {10.48550/ARXIV.2211.00834}, url = {https://arxiv.org/abs/2211.00834}, author = {Wang, Fei and Wolkowicz, Henry}, keywords = {Optimization and Control (math.OC), FOS: Mathematics, FOS: Mathematics}, institution="University of Waterloo", title = {Singularity degree of non-facially exposed faces}, note = {19 pages}, publisher = {arXiv, 2211.00834, 19 pages}, year="2022 submitted", } @techreport{Huawei:22, author = {Zhenan Fan and Haesol Im and Tyler Weames and Henry Wolkowicz and Yong Zhang and Zirui Zhou}, title = {Machine Learning with Knowledge under Infinitely Many Constraints}, address = {University of Waterloo}, institution="University of Waterloo", note = {21 pages}, year="2022 under revision", } @techreport{HuaweiLPstable:23, author = {Zhenan Fan and Haesol Im and Tyler Weames and Henry Wolkowicz and Yong Zhang and Zirui Zhou}, title = { A Stable Primal-Dual Interior-Point Algorithm for Linear Programming with Simplex Type Steps and Warm Starts}, address = {University of Waterloo}, note = {31 pages}, year="2023 in progress", } @techreport{HaLeWaDaHeCondNumb:23, author = {W.L. Jung and D. Torregrosa-Belen and H. Wolkowicz}, title = {Preconditioning, Numerical Computations and the {O}mega-Condition Number}, institution = {University of Waterloo}, address = {Waterloo, Canada}, note = {31 pages}, year = "2023", } @article{ImWolk:22, AUTHOR = {Im, Haesol and Wolkowicz, Henry}, TITLE = {Revisiting degeneracy, strict feasibility, stability, in linear programming}, JOURNAL = {European J. Oper. Res.}, FJOURNAL = {European Journal of Operational Research}, VOLUME = {310}, YEAR = {2023}, NUMBER = {2}, PAGES = {495--510}, ISSN = {0377-2217,1872-6860}, MRCLASS = {90C05 (90C46)}, MRNUMBER = {4594015}, MRREVIEWER = {Pablo\ Guerrero-Garc\'ia}, DOI = {10.1016/j.ejor.2023.03.021}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.ejor.2023.03.021}, } ###2021########################## @article{ImWolk:21, AUTHOR = {Im, H. and Wolkowicz, H.}, TITLE = {A strengthened {B}arvinok-{P}ataki bound on {SDP} rank}, JOURNAL = {Oper. Res. Lett.}, FJOURNAL = {Operations Research Letters}, VOLUME = {49}, YEAR = {2021}, NUMBER = {6}, PAGES = {837--841}, ISSN = {0167-6377}, MRCLASS = {90C57 (52B12 90C22)}, MRNUMBER = {4320399}, MRREVIEWER = {Franz Rendl}, DOI = {10.1016/j.orl.2021.09.004}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.orl.2021.09.004}, } @techreport{hu2023robustineq, title={{QKD} key rate with inequalities and nuclear norm}, author={H. Hu and H. Im and J. Lin and N. L\"utkenhaus and H. Wolkowicz}, institution="University of Waterloo", note = "25 pages, research report", address = "Waterloo, Ontario", year="2023", } @article{hu2021robust, title={Robust Interior Point Method for Quantum Key Distribution Rate Computation}, author={H. Hu and H. 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} } @article{HuImLiWo:21, AUTHOR = {Hu, Hao and Li, Xinxin and Im, Haesol and Wolkowicz, Henry}, TITLE = {A semismooth {N}ewton-type method for the nearest doubly stochastic matrix problem}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {49}, YEAR = {2024}, NUMBER = {2}, PAGES = {729--751}, ISSN = {0364-765X,1526-5471}, MRCLASS = {90C25 (49M15 90C33 90C46)}, MRNUMBER = {4755751}, MRREVIEWER = {Guo\ Yin\ Li}, DOI = {10.1287/moor.2023.1382}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.2023.1382}, } @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########################## @article {BurkImWolk:20, AUTHOR = {Burkowski, Forbes and Im, Haesol and Wolkowicz, Henry}, TITLE = {A {P}eaceman-{R}achford splitting method for the protein side-chain positioning problem}, JOURNAL = {INFORMS J. Comput.}, FJOURNAL = {INFORMS Journal on Computing}, VOLUME = {37}, YEAR = {2025}, NUMBER = {4}, PAGES = {962--976}, ISSN = {1091-9856,1526-5528}, MRCLASS = {92-08 (65F10 90C22 90C90)}, MRNUMBER = {4948948}, } @misc{proteinSCPGithub, author = {Burkowski, F.J. and Im, H. and Wolkowicz. H.}, publisher = {INFORMS Journal on Computing}, title = {An Implementation of a Restricted Peacement-Rachform Splitting Method for Protein Side-Chain Positioning Problem}, year = {2024}, doi = {10.1287/ijoc.2023.0094.cd}, url = {https://github.com/INFORMSJoC/2023.0094}, note = {Available for download at https://github.com/INFORMSJoC/2023.0094}, } ###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, AUTHOR = {Hu, Hao and Sotirov, Renata and Wolkowicz, Henry}, TITLE = {Facial reduction for symmetry reduced semidefinite and doubly nonnegative programs}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {200}, YEAR = {2023}, NUMBER = {1}, PAGES = {475--529}, ISSN = {0025-5610,1436-4646}, MRCLASS = {90C22 (90C25)}, MRNUMBER = {4590240}, MRREVIEWER = {Yong\ Xia}, DOI = {10.1007/s10107-022-01890-9}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-022-01890-9}, } ###2018########################## @techreport{HSWWb:18, title = "Finding a Principal Submatrix of Max Determinant via {H}adamard Inequality and Conic Relaxations", author = "H. Hu and S. Sremac and H.J. Woerdeman and H. Wolkowicz", institution="University of Waterloo", note = "16 pages, submitted", address = "Waterloo, Ontario", year="2025", } @article{GHILW:20, AUTHOR = {Graham, N. and Hu, H. and Im, H. and Li, X. and Wolkowicz, H.}, TITLE = {A restricted dual {P}eaceman-{R}achford splitting method for a strengthened {DNN} relaxation for {QAP}}, JOURNAL = {INFORMS J. Comput.}, FJOURNAL = {INFORMS Journal on Computing}, VOLUME = {34}, YEAR = {2022}, NUMBER = {4}, PAGES = {2125--2143}, ISSN = {1091-9856}, MRCLASS = {90C27 (90B80 90C22)}, MRNUMBER = {4485042}, DOI = {10.1287/ijoc.2022.1161}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/ijoc.2022.1161}, } ###2017########################## @article{SreWangWolk:17, author = "L. Pattersson and S. Sremac and F. Wang and H. Wolkowicz", TITLE = {Noisy {E}uclidean distance matrix completion with a single missing node}, 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 = {75}, YEAR = {2019}, NUMBER = {4}, PAGES = {973--1002}, ISSN = {0925-5001}, MRCLASS = {90C22 (15A83 90C20)}, MRNUMBER = {4031889}, DOI = {10.1007/s10898-019-00825-7}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-019-00825-7}, } @article{FLWW:17, author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz", TITLE = {Parametric convex quadratic relaxation of the quadratic knapsack problem}, JOURNAL = {European J. Oper. Res.}, FJOURNAL = {European Journal of Operational Research}, VOLUME = {281}, YEAR = {2020}, NUMBER = {1}, PAGES = {36--49}, ISSN = {0377-2217}, MRCLASS = {90C20 (90C10)}, MRNUMBER = {4018044}, MRREVIEWER = {Michele Monaci}, DOI = {10.1016/j.ejor.2019.08.027}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.ejor.2019.08.027}, } @inproceedings {FLWW:18, author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz", title = "Extending cover inequalities for the quadratic knapsack problem to relaxations in lifted space", booktitle = "The XIX Latin-Iberoamerican Conference on Operations Research, CLAIO 2018", Series = "The XIX Latin-Iberoamerican Conference on Operations Research, CLAIO 2018", Editors = "David Mauricio and Andre Mauricio", ISBN = {978-612-48146-1-7}, pages = "353-360", ISBN = {978-1-4614-7621-4; 978-1-4614-7620-7}, year="2018" } @inproceedings {FLWWOberw:19, author = "M. Fampa and D. Lubke and F. Wang and H. Wolkowicz", title = "Convexification of the Quadratic Knapsack Problem with Integrated Cut Strengthening", booktitle = "Proceedings of the workshop on Mixed-integer Nonlinear Optimization: a hatchery for modern mathematics, Mathematisches Forschungsinstitut", Series = "Proceedings of the workshop on Mixed-integer Nonlinear Optimization: a hatchery for modern mathematics, Mathematisches Forschungsinstitut", pages = "19-21", address = "Oberwolfach, Germany", year="2019" } @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}, SERIES = {Oper. Theory Adv. Appl.}, VOLUME = {271}, PAGES = {421--441}, PUBLISHER = {Birkh\"{a}user/Springer, Cham}, YEAR = {2018}, MRCLASS = {15A83 (15A15 15B05 90C22)}, MRNUMBER = {3889666}, MRREVIEWER = {Jin Zhong}, } @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", booktitle = "SYNASC2017, International Symposium on Symbolic and Numeric Algorithms for Scientific Computing", 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 = {Optim. Eng.}, FJOURNAL = {Optimization and Engineering. International Multidisciplinary Journal to Promote Optimization Theory \& Applications in Engineering Sciences}, VOLUME = {21}, YEAR = {2020}, NUMBER = {3}, PAGES = {1195--1219}, ISSN = {1389-4420}, MRCLASS = {90C26 (65K10 90C27)}, MRNUMBER = {4125726}, MRREVIEWER = {Wenxing Zhu}, DOI = {10.1007/s11081-019-09476-9}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/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 = "T. Zheng and H. Wolkowicz", title = "Rank restricted semidefinite matrices and image closedness", institution="University of Waterloo", note = "under revision", 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 minimization and facial reduction}, 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 = {72}, YEAR = {2018}, NUMBER = {1}, PAGES = {5--26}, ISSN = {0925-5001}, MRCLASS = {65F22 (52A41 65K10 90C22 90C46)}, MRNUMBER = {3846924}, MRREVIEWER = {Uno H\"{a}marik}, DOI = {10.1007/s10898-017-0590-1}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10898-017-0590-1}, } ###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 = {A{DMM} for the {SDP} relaxation of the {QAP}}, JOURNAL = {Math. Program. Comput.}, FJOURNAL = {Mathematical Programming Computation}, VOLUME = {10}, YEAR = {2018}, NUMBER = {4}, PAGES = {631--658}, ISSN = {1867-2949}, MRCLASS = {90C22 (90B80 90C06 90C46)}, MRNUMBER = {3863706}, MRREVIEWER = {Petrica C. Pop}, DOI = {10.1007/s12532-018-0148-3}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s12532-018-0148-3}, } @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", booktitle = "IEEE BIBM 2016", 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", booktitle = "IEEE International Conference on Bioinformatics and Biomedicine (BIBM), IEEE Xplore, January 19, 2017", 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 = {Wang, F. and Reid, G. and Wolkowicz, H.}, TITLE = {Finding maximum rank moment matrices by facial reduction on primal form and {D}ouglas-{R}achford iteration}, JOURNAL = {ACM Commun. Comput. Algebra}, FJOURNAL = {ACM Communications in Computer Algebra}, VOLUME = {51}, YEAR = {2017}, NUMBER = {1}, PAGES = {35--37}, ISSN = {1932-2232}, MRCLASS = {90C33 (65F99 90C22)}, MRNUMBER = {3663238}, DOI = {10.1145/3096730.3096740}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1145/3096730.3096740}, } @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, accepted 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}, MRREVIEWER = {Sorin-Mihai Grad}, DOI = {10.1007/s10107-016-1048-9}, URL = {https://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 = {Drusvyatskiy, Dmitriy and Pataki, G\'abor and Wolkowicz, Henry}, 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 = {1052-6234,1095-7189}, MRCLASS = {90C22 (52A99)}, MRNUMBER = {3357643}, MRREVIEWER = {Ning\ Ruan}, DOI = {10.1137/140968318}, URL = {https://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}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {27}, YEAR = {2017}, NUMBER = {4}, PAGES = {2301--2331}, ISSN = {1052-6234}, MRCLASS = {90C22 (52B12 90C25)}, MRNUMBER = {3717821}, DOI = {10.1137/15M103710X}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/15M103710X}, } ############ YEAR 2013 @article{PongWolk:12, AUTHOR = {Pong, Ting Kei and Wolkowicz, Henry}, 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 = {0926-6003,1573-2894}, MRCLASS = {90C20 (90C26 90C55)}, MRNUMBER = {3201963}, DOI = {10.1007/s10589-013-9635-7}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/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, Minghua and Wolkowicz, Henry}, 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 = {0308-1087,1563-5139}, MRCLASS = {15A42}, MRNUMBER = {2989768}, MRREVIEWER = {Xiao-Dong\ Zhang}, DOI = {10.1080/03081087.2011.651723}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/03081087.2011.651723}, } @book {MR3155260, TITLE = {Computational and analytical mathematics}, SERIES = {Springer Proceedings in Mathematics \& Statistics}, VOLUME = {50}, EDITOR = {Bailey, David H. and Bauschke, Heinz H. and Borwein, Peter and Garvan, Frank and Th\'{e}ra, Michel and Vanderwerff, Jon D. and Wolkowicz, Henry}, NOTE = {In honor of Jonathan Borwein's 60th birthday, Papers from the workshop (JonFest) held at Simon Fraser University, Burnaby, BC, May 16--20, 2011}, PUBLISHER = {Springer, New York}, YEAR = {2013}, PAGES = {xiii+701}, ISBN = {978-1-4614-7621-4; 978-1-4614-7620-7}, MRCLASS = {49-06 (90-06)}, MRNUMBER = {3155260}, DOI = {10.1007/978-1-4614-7621-4}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-7621-4}, } @incollection {ScTuWonumeric:07, AUTHOR = {Cheung, Yuen-Lam and Schurr, Simon and Wolkowicz, Henry}, 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}, ISBN = {978-1-4614-7621-4; 978-1-4614-7620-7}, MRCLASS = {90C22 (90C46)}, MRNUMBER = {3108430}, MRREVIEWER = {Sorin-Mihai\ Grad}, DOI = {10.1007/978-1-4614-7621-4\_12}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4614-7621-4_12}, } @article {MR3070089, AUTHOR = {Bauschke, Heinz H. and Th\'era, Michel and Wolkowicz, Henry}, TITLE = {Preface [{S}pecial issue: {C}omputational and analytical mathematics]}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {139}, YEAR = {2013}, NUMBER = {1-2}, PAGES = {1--3}, ISSN = {0025-5610,1436-4646}, MRCLASS = {90-06 (49-06)}, MRNUMBER = {3070089}, DOI = {10.1007/s10107-013-0656-x}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-013-0656-x}, } @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, Babak and Krislock, Nathan and Ghodsi, Ali and Wolkowicz, Henry and Donaldson, Logan and Li, Ming}, 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 = {1066-5277,1557-8666}, MRCLASS = {92D20 (90C22)}, MRNUMBER = {3042029}, DOI = {10.1089/cmb.2012.0089}, URL = {https://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 = "www.math.uwaterloo.ca/\~{ }hwolkowi/henry/reports/ONE.pdf", address="Waterloo, Ontario", year="2011" } @article{ForbesVrisWolk:11, AUTHOR = {Burkowski, Forbes and Cheung, Yuen-Lam and Wolkowicz, Henry}, 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 = {1091-9856,1526-5528}, MRCLASS = {92D20 (90C22 90C90)}, MRNUMBER = {3265805}, DOI = {10.1287/ijoc.2014.0596}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/ijoc.2014.0596}, } ############ YEAR 2010 @article{KrukDoanW:10, AUTHOR = {Doan, Xuan Vinh and Kruk, Serge and Wolkowicz, Henry}, 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 = {1055-6788,1029-4937}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {2946052}, MRREVIEWER = {Bogdan\ Dumitrescu}, DOI = {10.1080/10556788.2011.610456}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556788.2011.610456}, } @article{DingGeWolk:10, AUTHOR = {Ding, Yichuan and Ge, Dongdong and Wolkowicz, Henry}, 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,1526-5471}, MRCLASS = {90C20 (90C22)}, MRNUMBER = {2799394}, MRREVIEWER = {Amir\ Beck}, DOI = {10.1287/moor.1100.0473}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.1100.0473}, } ############ YEAR 2009 @article{kriswolk:09, AUTHOR = {Krislock, Nathan and Wolkowicz, Henry}, TITLE = {Explicit sensor network localization using semidefinite representations and facial reductions}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {20}, YEAR = {2010}, NUMBER = {5}, PAGES = {2679--2708}, ISSN = {1052-6234,1095-7189}, MRCLASS = {90C35 (90B10 90C22)}, MRNUMBER = {2678410}, MRREVIEWER = {Michael\ Patriksson}, DOI = {10.1137/090759392}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/090759392}, } @article{AlfakihAnjosKPW:08, AUTHOR = {Alfakih, Abdo Y. and Anjos, Miguel F. and Piccialli, Veronica and Wolkowicz, Henry}, TITLE = {Euclidean distance matrices, semidefinite programming and sensor network localization}, JOURNAL = {Port. Math.}, FJOURNAL = {Portugaliae Mathematica. A Journal of the Portuguese Mathematical Society}, VOLUME = {68}, YEAR = {2011}, NUMBER = {1}, PAGES = {53--102}, ISSN = {0032-5155,1662-2758}, MRCLASS = {51K05 (15A83 90B80 90C22)}, MRNUMBER = {2815953}, DOI = {10.4171/PM/1881}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.4171/PM/1881}, } ############ YEAR 2008 @article{ScTuWominimal:07, AUTHOR = {Tun\c{c}el, Levent and Wolkowicz, Henry}, TITLE = {Strong duality and minimal representations for cone optimization}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {53}, YEAR = {2012}, NUMBER = {2}, PAGES = {619--648}, ISSN = {0926-6003,1573-2894}, MRCLASS = {90C46 (90C22)}, MRNUMBER = {2988175}, MRREVIEWER = {Sorin-Mihai\ Grad}, DOI = {10.1007/s10589-012-9480-0}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-012-9480-0}, } @article {DiKrQiWo:08, AUTHOR = {Ding, Yichuan and Krislock, Nathan and Qian, Jianwei and Wolkowicz, Henry}, TITLE = {Sensor network localization, {E}uclidean distance matrix completions, and graph realization}, JOURNAL = {Optim. Eng.}, FJOURNAL = {Optimization and Engineering. International Multidisciplinary Journal to Promote Optimization Theory \& Applications in Engineering Sciences}, VOLUME = {11}, YEAR = {2010}, NUMBER = {1}, PAGES = {45--66}, ISSN = {1389-4420,1573-2924}, MRCLASS = {90B10 (90B80 90C22)}, MRNUMBER = {2601732}, MRREVIEWER = {Ning\ Ruan}, DOI = {10.1007/s11081-008-9072-0}, URL = {https://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, Marina and Tun\c{c}el, Levent and Wolkowicz, Henry}, TITLE = {Large scale portfolio optimization with piecewise linear transaction costs}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {23}, YEAR = {2008}, NUMBER = {6}, PAGES = {929--952}, ISSN = {1055-6788,1029-4937}, MRCLASS = {91B28 (65K10 90C20 90C31 90C51)}, MRNUMBER = {2464694}, MRREVIEWER = {Alexander\ Engau}, DOI = {10.1080/00207160802263858}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/00207160802263858}, } @article{DingWolk:06, AUTHOR = {Ding, Yichuan and Wolkowicz, Henry}, 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,1526-5471}, MRCLASS = {90C26 (65K05 65K10 90B80 90C22)}, MRNUMBER = {2573507}, MRREVIEWER = {Wei\ Hong\ Yang}, DOI = {10.1287/moor.1090.0419}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.1090.0419}, } ############ YEAR 2005 @article{AlfakihWolk:05, AUTHOR = {Alfakih, A. Y. and Wolkowicz, Henry}, TITLE = {Some necessary and some sufficient trace inequalities for {E}uclidean distance matrices}, JOURNAL = {Linear Multilinear Algebra}, FJOURNAL = {Linear and Multilinear Algebra}, VOLUME = {55}, YEAR = {2007}, NUMBER = {5}, PAGES = {499--506}, ISSN = {0308-1087,1563-5139}, MRCLASS = {15A45 (15A57)}, MRNUMBER = {2363550}, MRREVIEWER = {K.\ Veseli\'c}, DOI = {10.1080/03081080701241570}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/03081080701241570}, } @article{GroWo:05, AUTHOR = {Grodzevich, Oleg and Wolkowicz, Henry}, TITLE = {Regularization using a parameterized trust region subproblem}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {116}, YEAR = {2009}, NUMBER = {1-2}, PAGES = {193--220}, ISSN = {0025-5610,1436-4646}, MRCLASS = {65J20 (90C90 94A08)}, MRNUMBER = {2421279}, MRREVIEWER = {Akhtar\ A.\ Khan}, DOI = {10.1007/s10107-007-0126-4}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-007-0126-4}, } ############ YEAR 2004 @article {GoWo:04, AUTHOR = {Gonzalez-Lima, Maria and Wei, Hua and Wolkowicz, Henry}, 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 = {0926-6003,1573-2894}, MRCLASS = {90C05 (90C51)}, MRNUMBER = {2556851}, MRREVIEWER = {K.\ Zimmermann}, DOI = {10.1007/s10589-007-9157-2}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-007-9157-2}, } @article{homwolkA:04, AUTHOR = {Al-Homidan, Suliman and Wolkowicz, Henry}, 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 = {0024-3795,1873-1856}, MRCLASS = {90C22}, MRNUMBER = {2156431}, MRREVIEWER = {Anhua\ Lin}, DOI = {10.1016/j.laa.2005.03.021}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2005.03.021}, } @article{WeiWolk:06, AUTHOR = {Wei, Hua and Wolkowicz, Henry}, TITLE = {Generating and measuring instances of hard semidefinite programs}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {125}, YEAR = {2010}, NUMBER = {1}, PAGES = {31--45}, ISSN = {0025-5610,1436-4646}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {2718693}, MRREVIEWER = {Didier\ Henrion}, DOI = {10.1007/s10107-008-0256-3}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-008-0256-3}, } ############ YEAR 2003 @article{ScTuWolk:03, AUTHOR = {Tun\c{c}el, Levent and Wolkowicz, Henry}, 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 = {0024-3795,1873-1856}, MRCLASS = {90C22 (15A39)}, MRNUMBER = {2131915}, MRREVIEWER = {Etienne\ de Klerk}, DOI = {10.1016/j.laa.2004.12.010}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2004.12.010}, } ############ YEAR 2002 ############ YEAR 2001 @article{Wolk:01, AUTHOR = {Wolkowicz, Henry}, 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 = {1055-6788,1029-4937}, MRCLASS = {90C22 (90C52)}, MRNUMBER = {2102220}, MRREVIEWER = {E.\ Alper\ Y\i ld\i r\i m}, DOI = {10.1080/1055678042000193162}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/1055678042000193162}, } @article{AnjosWolk:01, AUTHOR = {Anjos, Miguel F. and Wolkowicz, Henry}, 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 = {1382-6905,1573-2886}, MRCLASS = {90C27 (90C22)}, MRNUMBER = {1920210}, MRREVIEWER = {Jos\ F.\ Sturm}, DOI = {10.1023/A:1014895808844}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1023/A:1014895808844}, } @article{FortinWolk:03, AUTHOR = {Fortin, Charles and Wolkowicz, Henry}, 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 = {1055-6788,1029-4937}, MRCLASS = {90C22 (90-06)}, MRNUMBER = {2062235}, MRREVIEWER = {Ya\ Xiang\ Yuan}, DOI = {10.1080/10556780410001647186}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556780410001647186}, } @article{AlWo:01, AUTHOR = {Alfakih, Abdo Y. and Wolkowicz, Henry}, 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 = {0024-3795,1873-1856}, MRCLASS = {51K05 (15A48 52B35)}, MRNUMBER = {1869424}, DOI = {10.1016/S0024-3795(01)00403-7}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0024-3795(01)00403-7}, } ############ YEAR 2000 @incollection {AnjosWolkb:00, AUTHOR = {Wolkowicz, Henry and Anjos, Miguel F.}, 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,1872-6771}, MRCLASS = {90C22 (90C27)}, MRNUMBER = {1922345}, MRREVIEWER = {Ji-Ming\ Peng}, DOI = {10.1016/S0166-218X(01)00352-3}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0166-218X(01)00352-3}, } @article{KrWo:00, AUTHOR = {Kruk, Serge and Wolkowicz, Henry}, 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}, PAGES = {517--534}, ISSN = {1110-757X,1687-0042}, MRCLASS = {90C53 (65K05)}, MRNUMBER = {2013788}, MRREVIEWER = {Heinz\ H.\ Bauschke}, DOI = {10.1155/S1110757X03301081}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1155/S1110757X03301081}, } @article{AnWo:00, AUTHOR = {Anjos, Miguel F. and Wolkowicz, Henry}, 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,1872-6771}, MRCLASS = {90C27 (68Q99 68R10 90C22)}, MRNUMBER = {1892412}, MRREVIEWER = {Konrad\ Engel}, DOI = {10.1016/S0166-218X(01)00266-9}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0166-218X(01)00266-9}, } ############ YEAR 1999 @incollection {wolkgap:99, AUTHOR = {Wolkowicz, Henry}, 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 = {0377-2217,1872-6860}, MRCLASS = {90C20 (90C46)}, MRNUMBER = {1940977}, MRREVIEWER = {Franz\ Rendl}, DOI = {10.1016/S0377-2217(02)00295-3}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0377-2217(02)00295-3}, } @article{NaWoZh:97, AUTHOR = {Zhu, M. and Nazareth, J. L. and Wolkowicz, H.}, 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}, ISSN = {1052-6234,1095-7189}, MRCLASS = {90C30 (49M30 65F30)}, MRNUMBER = {1724783}, MRREVIEWER = {A.\ M.\ Galperin}, DOI = {10.1137/S1052623498331793}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S1052623498331793}, } @incollection {MR1846167, AUTHOR = {Anjos, Miguel F. and Wolkowicz, Henry}, TITLE = {Strengthened semidefinite programming relaxations for the max-cut problem}, BOOKTITLE = {Advances in convex analysis and global optimization ({P}ythagorion, 2000)}, SERIES = {Nonconvex Optim. Appl.}, VOLUME = {54}, PAGES = {409--420}, PUBLISHER = {Kluwer Acad. Publ., Dordrecht}, YEAR = {2001}, ISBN = {0-7923-6942-4}, MRCLASS = {90C22 (90C27 90C57)}, MRNUMBER = {1846167}, DOI = {10.1007/978-1-4613-0279-7\_25}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4613-0279-7_25}, } ############ YEAR 1998 @article{AnChWoYu:98, AUTHOR = {Anstreicher, Kurt and Chen, Xin and Wolkowicz, Henry and Yuan, Ya-Xiang}, 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 = {0024-3795,1873-1856}, MRCLASS = {90C20 (90C46)}, MRNUMBER = {1728045}, MRREVIEWER = {R.\ N.\ Kaul}, DOI = {10.1016/S0024-3795(99)00205-0}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0024-3795(99)00205-0}, } @article{AnWo:98, AUTHOR = {Anstreicher, Kurt and Wolkowicz, Henry}, TITLE = {On {L}agrangian relaxation of quadratic matrix constraints}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {22}, YEAR = {2000}, NUMBER = {1}, PAGES = {41--55}, ISSN = {0895-4798,1095-7162}, MRCLASS = {90C20 (90C22 90C46)}, MRNUMBER = {1779715}, MRREVIEWER = {Franz\ Rendl}, DOI = {10.1137/S0895479898340299}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0895479898340299}, } @article{KrMuReVaWo:98, AUTHOR = {Kruk, Serge and Muramatsu, Masakazu and Rendl, Franz and Vanderbei, Robert J. and Wolkowicz, Henry}, 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 = {1055-6788,1029-4937}, MRCLASS = {90C22 (90C51)}, MRNUMBER = {1891034}, MRREVIEWER = {Marina\ Alex\ Epelman}, DOI = {10.1080/10556780108805808}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556780108805808}, } @article{KrWo:98, AUTHOR = {Kruk, Serge and Wolkowicz, Henry}, TITLE = {Pseudolinear programming}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review}, VOLUME = {41}, YEAR = {1999}, NUMBER = {4}, PAGES = {795--805}, ISSN = {1095-7200,0036-1445}, MRCLASS = {90C08 (90C30)}, MRNUMBER = {1723002}, DOI = {10.1137/S0036144598335259}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0036144598335259}, } ############ 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 = {Alfakih, Abdo Y. and Khandani, Amir and Wolkowicz, Henry}, TITLE = {Solving {E}uclidean distance matrix completion problems via semidefinite programming}, NOTE = {Computational optimization---a tribute to Olvi Mangasarian, Part I}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {12}, YEAR = {1999}, NUMBER = {1-3}, PAGES = {13--30}, ISSN = {0926-6003,1573-2894}, MRCLASS = {90C22 (90C25)}, MRNUMBER = {1704098}, MRREVIEWER = {Christian\ Michelot}, DOI = {10.1023/A:1008655427845}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1023/A:1008655427845}, } @inproceedings{KrWo:97, AUTHOR = {Kruk, Serge and Wolkowicz, Henry}, TITLE = {{${\rm SQ}^2{\rm P}$}, sequential quadratic constrained quadratic programming}, BOOKTITLE = {Advances in nonlinear programming ({B}eijing, 1996)}, SERIES = {Appl. Optim.}, VOLUME = {14}, PAGES = {177--204}, PUBLISHER = {Kluwer Acad. Publ., Dordrecht}, YEAR = {1998}, ISBN = {0-7923-5053-7}, MRCLASS = {90C30 (65K05)}, MRNUMBER = {1639893}, DOI = {10.1007/978-1-4613-3335-7\_8}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4613-3335-7_8}, } ############ YEAR 1996 @article{WoZh:96, AUTHOR = {Wolkowicz, Henry and Zhao, Qing}, TITLE = {Semidefinite programming relaxations for the graph partitioning problem}, NOTE = {The satisfiability problem (Certosa di Pontignano, 1996); Boolean functions}, JOURNAL = {Discrete Appl. Math.}, FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial Algorithms, Informatics and Computational Sciences}, VOLUME = {96/97}, YEAR = {1999}, PAGES = {461--479}, ISSN = {0166-218X,1872-6771}, MRCLASS = {90C35 (15A48 90C22)}, MRNUMBER = {1724735}, MRREVIEWER = {Franz\ Rendl}, DOI = {10.1016/S0166-218X(99)00102-X}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0166-218X(99)00102-X}, } @article {KaReWoZh:94, AUTHOR = {Zhao, Qing and Karisch, Stefan E. and Rendl, Franz and Wolkowicz, Henry}, TITLE = {Semidefinite programming relaxations for the quadratic assignment problem}, NOTE = {Semidefinite programming and interior-point approaches for combinatorial optimization problems (Toronto, ON, 1996)}, JOURNAL = {J. Comb. Optim.}, FJOURNAL = {Journal of Combinatorial Optimization}, VOLUME = {2}, YEAR = {1998}, NUMBER = {1}, PAGES = {71--109}, ISSN = {1382-6905,1573-2886}, MRCLASS = {90C27 (90C26)}, MRNUMBER = {1616871}, MRREVIEWER = {Yin\ Zhang}, DOI = {10.1023/A:1009795911987}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1023/A:1009795911987}, } ############ YEAR 1995 @article{JoKrWo:95, AUTHOR = {Johnson, Charles R. and Kroschel, Brenda and Wolkowicz, Henry}, 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 = {0926-6003,1573-2894}, MRCLASS = {90C25 (90C20)}, MRNUMBER = {1601892}, MRREVIEWER = {Michael\ L.\ Dowling}, DOI = {10.1023/A:1018363021404}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1023/A:1018363021404}, } @article{RaTuWo:95, AUTHOR = {Ramana, Motakuri V. and Tun\c{c}el, Levent and Wolkowicz, Henry}, 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}, MRCLASS = {90C30 (49M35 49N15)}, MRNUMBER = {1462059}, MRREVIEWER = {J.\ Borwein}, DOI = {10.1137/S1052623495288350}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S1052623495288350}, } @incollection{HePoReWo:95, AUTHOR = {Helmberg, C. and Poljak, S. and Rendl, F. and Wolkowicz, H.}, TITLE = {Combining semidefinite and polyhedral relaxations for integer programs}, BOOKTITLE = {Integer programming and combinatorial optimization ({C}openhagen, 1995)}, SERIES = {Lecture Notes in Comput. Sci.}, VOLUME = {920}, PAGES = {124--134}, PUBLISHER = {Springer, Berlin}, YEAR = {1995}, ISBN = {3-540-59408-6}, MRCLASS = {90C10 (90C27)}, MRNUMBER = {1367976}, DOI = {10.1007/3-540-59408-6\_46}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/3-540-59408-6_46}, } ############ YEAR 1994 @article{ReWo:94, AUTHOR = {Rendl, Franz and Wolkowicz, Henry}, TITLE = {A semidefinite framework for trust region subproblems with applications to large scale minimization}, NOTE = {Semidefinite programming}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {77}, YEAR = {1997}, NUMBER = {2}, PAGES = {273--299}, ISSN = {0025-5610,1436-4646}, MRCLASS = {90C20 (90C33)}, MRNUMBER = {1461384}, MRREVIEWER = {M.\ Teboulle}, DOI = {10.1016/S0025-5610(96)00080-9}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0025-5610(96)00080-9}, } @article {PoReWo:94, AUTHOR = {Poljak, S. and Rendl, F. and Wolkowicz, H.}, 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 = {0925-5001,1573-2916}, MRCLASS = {90C09 (90C27)}, MRNUMBER = {1342935}, MRREVIEWER = {Paulo\ Barcia}, DOI = {10.1007/BF01100205}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01100205}, } @article {HeReVaWo:93, AUTHOR = {Helmberg, Christoph and Rendl, Franz and Vanderbei, Robert J. and Wolkowicz, Henry}, 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}, MRCLASS = {90C30 (65K05 90C27)}, MRNUMBER = {1387330}, MRREVIEWER = {Tam\'as\ Terlaky}, DOI = {10.1137/0806020}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0806020}, } @incollection{prw:93, AUTHOR = {Pardalos, Panos M. and Rendl, Franz and Wolkowicz, Henry}, TITLE = {The quadratic assignment problem: a survey and recent developments}, BOOKTITLE = {Quadratic assignment and related problems ({N}ew {B}runswick, {NJ}, 1993)}, SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, VOLUME = {16}, PAGES = {1--42}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1994}, ISBN = {0-8218-6607-9}, MRCLASS = {90B80 (90C10 90C27)}, MRNUMBER = {1290345}, MRREVIEWER = {Horst\ W.\ Hamacher}, DOI = {10.1090/dimacs/016/01}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/dimacs/016/01}, } ############ YEAR 1993 @ARTICLE {FaReWo:92, AUTHOR = {Falkner, Julie and Rendl, Franz and Wolkowicz, Henry}, TITLE = {A computational study of graph partitioning}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {66}, YEAR = {1994}, NUMBER = {2}, PAGES = {211--239}, ISSN = {0025-5610,1436-4646}, MRCLASS = {90C35 (05C35 65F15 68Q35 90C27)}, MRNUMBER = {1297064}, MRREVIEWER = {Yixun\ Lin}, DOI = {10.1007/BF01581147}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01581147}, } @article{sw5, AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry}, 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}, MRCLASS = {15A18 (15A42 49R05)}, MRNUMBER = {1282693}, MRREVIEWER = {Gerd\ M.\ Krause}, DOI = {10.1137/S0895479891199719}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/S0895479891199719}, } @article{StWo:93, AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry}, 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}, MRCLASS = {90C20 (65F15 65K05)}, MRNUMBER = {1330199}, MRREVIEWER = {Panos\ M.\ Pardalos}, DOI = {10.1137/0805016}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0805016}, } @incollection{KaReWo:93, AUTHOR = {Karisch, Stefan E. and Rendl, Franz and Wolkowicz, Henry}, TITLE = {Trust regions and relaxations for the quadratic assignment problem}, BOOKTITLE = {Quadratic assignment and related problems ({N}ew {B}runswick, {NJ}, 1993)}, SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, VOLUME = {16}, PAGES = {199--219}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1994}, ISBN = {0-8218-6607-9}, MRCLASS = {90C20 (90C27)}, MRNUMBER = {1290354}, MRREVIEWER = {Igor\ Litvinchev}, DOI = {10.1090/dimacs/016/10}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1090/dimacs/016/10}, } @article{ReWo:90, AUTHOR = {Rendl, Franz and Wolkowicz, Henry}, 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 = {0254-5330,1572-9338}, MRCLASS = {90C35 (05C99)}, MRNUMBER = {1349612}, MRREVIEWER = {Xueliang\ Li}, DOI = {10.1007/BF02032130}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF02032130}, } @article {PoWo:93, AUTHOR = {Poljak, Svatopluk and Wolkowicz, Henry}, 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,1526-5471}, MRCLASS = {90C09 (90C20)}, MRNUMBER = {1354768}, DOI = {10.1287/moor.20.3.550}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.20.3.550}, } @article{w13, AUTHOR = {Wolkowicz, Henry}, 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,1526-5471}, MRCLASS = {90C30 (65F05 65K05)}, MRNUMBER = {1304626}, DOI = {10.1287/moor.19.4.815}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.19.4.815}, } @article{WoZh:93, AUTHOR = {Wolkowicz, Henry and Zhao, Qing}, 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}, MRCLASS = {90C30 (65K05)}, MRNUMBER = {1315710}, MRREVIEWER = {Bernd\ Luderer}, DOI = {10.1137/0805009}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0805009}, } @article{Wolk:93, AUTHOR = {Wolkowicz, Henry}, 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 = {0024-3795,1873-1856}, MRCLASS = {90C26 (65G10 90C08)}, MRNUMBER = {1375607}, MRREVIEWER = {Florian\ Jarre}, DOI = {10.1016/0024-3795(94)00130-8}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(94)00130-8}, } @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 = {Dennis, Jr., J. E. and Wolkowicz, H.}, 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}, MRCLASS = {90C30 (49M37 65K05)}, MRNUMBER = {1239822}, DOI = {10.1137/0730067}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0730067}, } ############ 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,1526-5471}, MRCLASS = {90C27 (90C20)}, MRNUMBER = {1177733}, MRREVIEWER = {M.\ C.\ Puri}, DOI = {10.1287/moor.17.3.727}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1287/moor.17.3.727}, } @article{hrw2, AUTHOR = {Hadley, S. W. and Rendl, F. and Wolkowicz, H.}, 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 = {0024-3795,1873-1856}, MRCLASS = {90C27 (15A42 90B80)}, MRNUMBER = {1155441}, MRREVIEWER = {Rainer\ Burkard}, DOI = {10.1016/0024-3795(92)90338-B}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(92)90338-B}, } @article{jw2, AUTHOR = {Jeyakumar, V. and Wolkowicz, Henry}, TITLE = {Generalizations of {S}later's constraint qualification for infinite convex programs}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {57}, YEAR = {1992}, NUMBER = {1}, PAGES = {85--101}, ISSN = {0025-5610,1436-4646}, MRCLASS = {90C48 (49N15 90C25)}, MRNUMBER = {1167408}, MRREVIEWER = {Doug\ Ward}, DOI = {10.1007/BF01581074}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01581074}, } @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 = {0022-3239,1573-2878}, MRCLASS = {49N15 (90C48)}, MRNUMBER = {1080267}, MRREVIEWER = {R.\ N.\ Kaul}, DOI = {10.1007/BF00939737}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF00939737}, } @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 = {Beatson, R. K. and Wolkowicz, H.}, 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}, MRCLASS = {65D07 (41A05 41A25)}, MRNUMBER = {987403}, MRREVIEWER = {Zhen\ Xiang\ Xiong}, DOI = {10.1137/0726028}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0726028}, } @article{ReWo:89, AUTHOR = {Rendl, Franz and Wolkowicz, Henry}, 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}, PAGES = {63--78}, ISSN = {0025-5610,1436-4646}, MRCLASS = {90C35 (90C20 90C30)}, MRNUMBER = {1151765}, MRREVIEWER = {M.\ C.\ Puri}, DOI = {10.1007/BF01585694}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/BF01585694}, } ############ 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, Ronald J. and Wolkowicz, Henry}, 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 = {0024-3795,1873-1856}, MRCLASS = {15A22 (15A18 15A48)}, MRNUMBER = {1088661}, DOI = {10.1016/0024-3795(91)90231-K}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(91)90231-K}, } @article{stw2, AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry}, 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}, MRCLASS = {15A48}, MRNUMBER = {1082333}, MRREVIEWER = {Raphael\ Loewy}, DOI = {10.1137/0612012}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1137/0612012}, } @article{stw1, AUTHOR = {Stern, Ronald J. and Wolkowicz, Henry}, TITLE = {Invariant ellipsoidal cones}, BOOKTITLE = {Proceedings of the {F}irst {C}onference of the {I}nternational {L}inear {A}lgebra {S}ociety ({P}rovo, {UT}, 1989)}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {150}, YEAR = {1991}, PAGES = {81--106}, ISSN = {0024-3795,1873-1856}, MRCLASS = {15A48}, MRNUMBER = {1102058}, MRREVIEWER = {Raphael\ Loewy}, DOI = {10.1016/0024-3795(91)90161-O}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(91)90161-O}, } ############ #### 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 = {2295140}, DOI = {10.1007/s10107-006-0037-9}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10107-006-0037-9}, } @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 = {Wolkowicz, Henry}, TITLE = {Generating eigenvalue bounds using optimization}, BOOKTITLE = {Nonlinear analysis and variational problems}, SERIES = {Springer Optim. Appl.}, VOLUME = {35}, PAGES = {465--490}, PUBLISHER = {Springer, New York}, YEAR = {2010}, ISBN = {978-1-4419-0157-6}, MRCLASS = {15A42 (90C25 90C31 90C32)}, MRNUMBER = {2581881}, MRREVIEWER = {Jorma\ Kaarlo\ Merikoski}, DOI = {10.1007/978-1-4419-0158-3\_29}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/978-1-4419-0158-3_29}, } @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 = {Bhatia, Rajendra and Guralnick, Robert and Kirkland, Steve and Wolkowicz, Henry}, 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 = {0024-3795,1873-1856}, MRCLASS = {15-06}, MRNUMBER = {2290680}, DOI = {10.1016/j.laa.2006.10.023}, URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.laa.2006.10.023}, } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Graduate Students Theses: @mastersthesis{TinaAug:24, author="Tina Chenrui Xu", title="Euclidean Distance Matrix Correction with a Single Corrupted Element", school="University of Waterloo", URL={https://https://hdl.handle.net/10012/20880}, year="2024" } @mastersthesis{JeffCheng:23, author="Jeffrey Cheng", title="Semidefinite Programming Relaxations of the Simplified Wasserstein Barycenter Problem: An {ADMM} Approach", school="University of Waterloo", URL={https://uwspace.uwaterloo.ca/handle/10012/19416}, year="2023" } @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="Haesol Im", title="Implicit Loss of Surjectivity and Facial Reduction: Theory and Applications", school="University of Waterloo", publisher={UWSpace}, year="2023" } @mastersthesis{XuetongWang:22, author="Xuetong Wang", title="Splitting Methods in Convex Programming", school="University of Waterloo", year="2022" } @phdthesis{Sremac:2019, author="Stefan 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="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="Hao 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="Zhen 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="Xing 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="Yuen-Lam 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="Ming 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="Nathan 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="Hua 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="Marina Potaptchik", title="Portfolio Selection Under Nonsmooth Convex Transaction Costs", school="University of Waterloo", year="2006" } @phdthesis{Kruk:01, author="Serge 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="Oleg 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="Yichuan 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="Xuezhi Cui", title="Computing the Nearest Correlation Matrix using Difference Map Method", school="University of Waterloo", year="2010" } @mastersthesis{HengYe:11, author="Heng Ye", title="Efficient Trust Region Subproblem Algorithms", school="University of Waterloo", year="2011" } @mastersthesis{Fortin:00, author="Charles Fortin", title="A Survey of the Trust Region Subproblem within a Semidefinite Framework", school="University of Waterloo", year="2000" } @mastersthesis{Froh:03, author="Michael 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="Serge Kruk", title="Semidefinite Programming Applied to Nonlinear Programming", school="University of Waterloo", year="1996" } @phdthesis{zhao:96, author="Qing Zhao", title="Semidefinite Programming for Assignment and Partitioning Problems", school="University of Waterloo", year="1996" } @phdthesis{Anjosthesis, author="Miguel 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="Qing Zhao", title="Measures for Least Change Secant Methods", school="University of Waterloo", year="1993", } @mastersthesis{schaecke:04, author="Katherine 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="Stefan E. Karisch", title="Trust Regions and the Quadratic Assignment Problem", school="University of Waterloo", year="1992" } @phdthesis{hadley:89, author="Scott W. Hadley", title="Continuous Optimization Approaches to the Quadratic Assignment Problem", school="University of Waterloo", year="1989" } @mastersthesis{lund:88, author="Joe 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="Chris Schoettle", title="The Teaching Assignment Problem", school="Emory University", year="1985" } @mastersthesis{kumar:84, author="Ravinder Kumar", title="Bounds for Eigenvalues", school="University of Alberta", year="1984" }