H Wolkowicz - Publications

Affiliations: 
University of Waterloo, Waterloo, ON, Canada 
Area:
Mathematics

98 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2022 Hu H, Sotirov R, Wolkowicz H. Facial reduction for symmetry reduced semidefinite and doubly nonnegative programs. Mathematical Programming. 200: 475-529. PMID 37215307 DOI: 10.1007/s10107-022-01890-9  0.394
2020 Fampa MHC, Lubke D, Wang F, Wolkowicz H. Parametric convex quadratic relaxation of the quadratic knapsack problem European Journal of Operational Research. 281: 36-49. DOI: 10.1016/J.Ejor.2019.08.027  0.565
2020 Ma S, Wang F, Wei L, Wolkowicz H. Robust Principal Component Analysis using Facial Reduction Optimization and Engineering. 21: 1195-1219. DOI: 10.1007/S11081-019-09476-9  0.467
2018 Oliveira DE, Wolkowicz H, Xu Y. ADMM for the SDP relaxation of the QAP Mathematical Programming Computation. 10: 631-658. DOI: 10.1007/S12532-018-0148-3  0.507
2018 Huang S, Wolkowicz H. Low-rank matrix completion using nuclear norm minimization and facial reduction Journal of Global Optimization. 72: 5-26. DOI: 10.1007/S10898-017-0590-1  0.522
2017 Wang F, Reid G, Wolkowicz H. Finding maximum rank moment matrices by facial reduction on primal form and Douglas-Rachford iteration Acm Communications in Computer Algebra. 51: 35-37. DOI: 10.1145/3096730.3096740  0.518
2017 Drusvyatskiy D, Krislock N, Voronin Y, Wolkowicz H. Noisy Euclidean Distance Realization: Robust Facial Reduction and the Pareto Frontier Siam Journal On Optimization. 27: 2301-2331. DOI: 10.1137/15M103710X  0.493
2017 Salahi M, Taati A, Wolkowicz H. Local nonglobal minima for solving large-scale extended trust-region subproblems Computational Optimization and Applications. 66: 223-244. DOI: 10.1007/S10589-016-9867-4  0.467
2017 Drusvyatskiy D, Li G, Wolkowicz H. A note on alternating projections for ill-posed semidefinite feasibility problems Mathematical Programming. 162: 537-548. DOI: 10.1007/S10107-016-1048-9  0.336
2015 Drusvyatskiy D, Pataki G, Wolkowicz H. Coordinate shadows of semidefin ite and euclidean distance matrices Siam Journal On Optimization. 25: 1160-1178. DOI: 10.1137/140968318  0.437
2015 Drusvyatskiy D, Li CK, Pelejo DC, Voronin YL, Wolkowicz H. Projection methods for quantum channel construction Quantum Information Processing. 14: 3075-3096. DOI: 10.1007/S11128-015-1024-Y  0.43
2015 Pong TK, Sun H, Wang N, Wolkowicz H. Eigenvalue, quadratic programming, and semidefinite programming relaxations for a cut minimization problem Computational Optimization and Applications. DOI: 10.1007/S10589-015-9779-8  0.503
2014 Burkowski F, Cheung YL, Wolkowicz H. Efficient use of semidefinite programming for selection of rotamers in protein conformations Informs Journal On Computing. 26: 748-766. DOI: 10.1287/Ijoc.2014.0596  0.41
2014 Pong TK, Wolkowicz H. The generalized trust region subproblem Computational Optimization and Applications. 58: 273-322. DOI: 10.1007/S10589-013-9635-7  0.529
2014 Drusvyatskiy D, Vavasis SA, Wolkowicz H. Extreme point inequalities and geometry of the rank sparsity ball Mathematical Programming. 152: 521-544. DOI: 10.1007/S10107-014-0795-8  0.444
2013 Alipanahi B, Krislock N, Ghodsi A, Wolkowicz H, Donaldson L, Li M. Determining protein structures from NOESY distance constraints by semidefinite programming. Journal of Computational Biology : a Journal of Computational Molecular Cell Biology. 20: 296-310. PMID 23113706 DOI: 10.1089/Cmb.2012.0089  0.476
2013 Cheung YL, Schurr S, Wolkowicz H. Preprocessing and Regularization for Degenerate Semidefinite Programs Springer Proceedings in Mathematics and Statistics. 50: 251-303. DOI: 10.1007/978-1-4614-7621-4_12  0.447
2012 Doan XV, Kruk S, Wolkowicz H. A robust algorithm for semidefinite programming Optimization Methods and Software. 27: 667-693. DOI: 10.1080/10556788.2011.610456  0.762
2012 Tunçel L, Wolkowicz H. Strong duality and minimal representations for cone optimization Computational Optimization and Applications. 53: 619-648. DOI: 10.1007/S10589-012-9480-0  0.54
2012 Alipanahi B, Krislock N, Ghodsi A, Wolkowicz H, Donaldson L, Li M. Protein structure by semidefinite facial reduction Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 7262: 1-11. DOI: 10.1007/978-3-642-29627-7_1  0.362
2011 Alfakih AY, Anjos MF, Piccialli V, Wolkowicz H. Euclidean distance matrices, semidefinite programming and sensor network localization Portugaliae Mathematica. 68: 53-102. DOI: 10.4171/Pm/1881  0.445
2011 Ding Y, Ge D, Wolkowicz H. On equivalence of semidefinite relaxations for quadratic matrix programming Mathematics of Operations Research. 36: 88-104. DOI: 10.1287/Moor.1100.0473  0.476
2010 Krislock N, Wolkowicz H. Explicit sensor network localization using emidefinite representations and facial reductions Siam Journal On Optimization. 20: 2679-2708. DOI: 10.1137/090759392  0.445
2010 Ding Y, Krislock N, Qian J, Wolkowicz H. Sensor network localization, Euclidean distance matrix completions, and graph realization Optimization and Engineering. 11: 45-66. DOI: 10.1007/S11081-008-9072-0  0.503
2010 Wei H, Wolkowicz H. Generating and measuring instances of hard semidefinite programs Mathematical Programming. 125: 31-45. DOI: 10.1007/S10107-008-0256-3  0.547
2010 Wolkowicz H. Generating eigenvalue bounds using optimization Springer Optimization and Its Applications. 35: 465-490. DOI: 10.1007/978-1-4419-0158-3_29  0.375
2009 Ding Y, Wolkowicz H. A low-dimensional semidefinite relaxation for the quadratic assignment problem Mathematics of Operations Research. 34: 1008-1022. DOI: 10.1287/Moor.1090.0419  0.543
2009 Gonzalez-Lima M, Wei H, Wolkowicz H. A stable primal-dual approach for linear programming under nondegeneracy assumptions Computational Optimization and Applications. 44: 213-247. DOI: 10.1007/S10589-007-9157-2  0.567
2009 Grodzevich O, Wolkowicz H. Regularization using a parameterized trust region subproblem Mathematical Programming. 116: 193-220. DOI: 10.1007/S10107-007-0126-4  0.39
2008 Potaptchik M, Tuncel L, Wolkowicz H. Large scale portfolio optimization with piecewise linear transaction costs Optimization Methods and Software. 23: 929-952. DOI: 10.1080/00207160802263858  0.492
2007 Alfakih AY, Wolkowicz H. Some necessary and some sufficient trace inequalities for Euclidean distance matrices Linear and Multilinear Algebra. 55: 499-506. DOI: 10.1080/03081080701241570  0.37
2007 Andersen E, De Klerk E, Tunçel L, Wolkowicz H, Zhang S. Foreword: Special issue on large-scale nonlinear and semidefinite programming Mathematical Programming. 109: 207-209. DOI: 10.1007/S10107-006-0037-9  0.348
2005 Al-Homidan S, Wolkowicz H. Approximate and exact completion problems for Euclidean distance matrices using semidefinite programming Linear Algebra and Its Applications. 406: 109-141. DOI: 10.1016/J.Laa.2005.03.021  0.531
2005 Tunçel L, Wolkowicz H. Strengthened existence and uniqueness conditions for search directions in semidefinite programming Linear Algebra and Its Applications. 400: 31-60. DOI: 10.1016/J.Laa.2004.12.010  0.524
2004 Wolkowicz H. Solving semidefinite programs using preconditioned conjugate gradients Optimization Methods and Software. 19: 653-672. DOI: 10.1080/1055678042000193162  0.527
2004 Fortin C, Wolkowicz H. The trust region subproblem and semidefinite programming Optimization Methods and Software. 19: 41-67. DOI: 10.1080/10556780410001647186  0.53
2003 Kruk S, Wolkowicz H. Convergence of a short-step primal-dual algorithm based on the Gauss-Newton direction Journal of Applied Mathematics. 2003: 517-534. DOI: 10.1155/S1110757X03301081  0.751
2002 Anjos MF, Wolkowicz H. Geometry of semidefinite Max-Cut relaxations via matrix ranks Journal of Combinatorial Optimization. 6: 237. DOI: 10.1023/A:1014895808844  0.426
2002 Wolkowicz H. A note on lack of strong duality for quadratic problems with orthogonal constraints European Journal of Operational Research. 143: 356-364. DOI: 10.1016/S0377-2217(02)00295-3  0.506
2002 Wolkowicz H, F. Anjos M. Semidefinite programming for discrete optimization and matrix completion problems Discrete Applied Mathematics. 123: 513-577. DOI: 10.1016/S0166-218X(01)00352-3  0.52
2002 Anjos MF, Wolkowicz H. Strengthened semidefinite relaxations via a second lifting for the Max-Cut problem Discrete Applied Mathematics. 119: 79-106. DOI: 10.1016/S0166-218X(01)00266-9  0.453
2001 Kruk S, Muramatsu M, Rendl F, Vanderbei RJ, Wolkowicz H. The gauss-newton direction in semidefinite programming Optimization Methods and Software. 15: 1-28. DOI: 10.1080/10556780108805808  0.749
2000 Anstreicher K, Wolkowicz H. On Lagrangian relaxation of quadratic matrix constraints Siam Journal On Matrix Analysis and Applications. 22: 41-55. DOI: 10.1137/S0895479898340299  0.54
1999 Zhu M, Nazareth JL, Wolkowicz H. The quasi-Cauchy relation and diagonal updating Siam Journal On Optimization. 9: 1192-1204. DOI: 10.1137/S1052623498331793  0.419
1999 Alfakih AY, Khandani A, Wolkowicz H. Solving Euclidean Distance Matrix Completion Problems Via Semidefinite Programming Computational Optimization and Applications. 12: 13-30. DOI: 10.1023/A:1008655427845  0.528
1999 Wolkowicz H, Zhao Q. Semidefinite programming relaxations for the graph partitioning problem Discrete Applied Mathematics. 96: 461-479. DOI: 10.1016/S0166-218X(99)00102-X  0.503
1999 Anstreicher K, Chen X, Wolkowicz H, Yuan Y. Strong duality for a trust-region type relaxation of the quadratic assignment problem Linear Algebra and Its Applications. 301: 121-136. DOI: 10.1016/S0024-3795(99)00205-0  0.531
1999 Kruk S, Wolkowicz H. Pseudolinear programming Siam Review. 41: 795-805.  0.402
1999 Anstreicher K, Chen X, Wolkowicz H, Yuan YX. Strong duality for a trust-region type relaxation of the quadratic assignment problem Linear Algebra and Its Applications. 301: 121-136.  0.448
1998 Johnson CR, Kroschel B, Wolkowicz H. An Interior-Point Method for Approximate Positive Semidefinite Completions Computational Optimization and Applications. 9: 175-190. DOI: 10.1023/A:1018363021404  0.441
1998 Zhao Q, Karisch SE, Rendl F, Wolkowicz H. Semidefinite Programming Relaxations for the Quadratic Assignment Problem Journal of Combinatorial Optimization. 2: 71-109. DOI: 10.1023/A:1009795911987  0.498
1997 Ramana MV, Tunçel L, Wolkowicz H. Strong duality for semidefinite programming Siam Journal On Optimization. 7: 641-662. DOI: 10.1137/S1052623495288350  0.466
1997 Rendl F, Wolkowicz H. A semidefinite framework for trust region subproblems with applications to large scale minimization Mathematical Programming, Series B. 77: 273-299. DOI: 10.1007/Bf02614438  0.495
1996 Helmberg C, Rendl F, Vanderbei RJ, Wolkowicz H. An interior-point method for semidefinite programming Siam Journal On Optimization. 6: 342-361. DOI: 10.1137/0806020  0.511
1996 Wolkowicz H. Explicit Solutions for Interval Semidefinite Linear Programs Linear Algebra and Its Applications. 236: 95-104. DOI: 10.1016/0024-3795(94)00130-8  0.475
1995 Poljak S, Wolkowicz H. Convex Relaxations of 0, 1-Quadratic Programming Mathematics of Operations Research. 20: 550-561. DOI: 10.1287/Moor.20.3.550  0.531
1995 Stern RJ, Wolkowicz H. Indefinite Trust Region Subproblems and Nonsymmetric Eigenvalue Perturbations Siam Journal On Optimization. 5: 286-313. DOI: 10.1137/0805016  0.483
1995 Wolkowicz H, Zhao Q. An All-Inclusive Efficient Region of Updates for Least Change Secant Methods Siam Journal On Optimization. 5: 172-191. DOI: 10.1137/0805009  0.409
1995 Rendl F, Vanderbei RJ, Wolkowicz H. Max-min eigenvalue problems, primal-dual interior point algorithms, and trust region subproblems Optimization Methods and Software. 5: 1-16. DOI: 10.1080/10556789508805599  0.443
1995 Rendl F, Wolkowicz H. A projection technique for partitioning the nodes of a graph Annals of Operations Research. 58: 155-179. DOI: 10.1007/Bf02032130  0.306
1995 Poljak S, Rendl F, Wolkowicz H. A recipe for semidefinite relaxation for (0,1)-quadratic programming - In memory of Svata Poljak Journal of Global Optimization. 7: 51-73. DOI: 10.1007/Bf01100205  0.499
1995 Helmberg C, Poljak S, Rendl F, Wolkowicz H. Combining semidefinite and polyhedral relaxations for integer programs Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 920: 124-134.  0.364
1994 Wolkowicz H. Measures for symmetric rank-one updates Mathematics of Operations Research. 19: 815-830. DOI: 10.1287/Moor.19.4.815  0.397
1994 Stern RJ, Wolkowicz H. Trust Region Problems and Nonsymmetric Eigenvalue Perturbations Siam Journal On Matrix Analysis and Applications. 15: 755-778. DOI: 10.1137/S0895479891199719  0.454
1994 Falkner J, Rendl F, Wolkowicz H. A computational study of graph partitioning Mathematical Programming. 66: 211-239. DOI: 10.1007/Bf01581147  0.359
1993 Dennis JE, Wolkowicz H. Sizing and least-change secant method Siam Journal On Numerical Analysis. 30: 1291-1314. DOI: 10.1137/0730067  0.418
1992 Hadley SW, Rendl F, Wolkowicz H. A new lower bound via projection for the quadratic assignment problem Mathematics of Operations Research. 17: 727-739. DOI: 10.1287/Moor.17.3.727  0.435
1992 Hadley SW, Rendl F, Wolkowicz H. Symmetrization of nonsymmetric quadratic assignment problems and the Hoffman-Wielandt inequality Linear Algebra and Its Applications. 167: 53-64. DOI: 10.1016/0024-3795(92)90338-B  0.436
1992 Rendl F, Wolkowicz H. Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem Mathematical Programming. 53: 63-78. DOI: 10.1007/Bf01585694  0.539
1992 Jeyakumar V, Wolkowicz H. Generalizations of Slater's constraint qualification for infinite convex programs Mathematical Programming. 57: 85-101. DOI: 10.1007/Bf01581074  0.397
1990 Jeyakumar V, Wolkowicz H. Zero duality gaps in infinite-dimensional programming Journal of Optimization Theory and Applications. 67: 87-108. DOI: 10.1007/Bf00939737  0.449
1989 Beatson RK, Wolkowicz H. Post-processing piecewise cubics for monotonicity Siam Journal On Numerical Analysis. 26: 480-502. DOI: 10.1137/0726028  0.415
1988 Sutherland WRS, Wolkowicz H, Zeidan V. An explicit linear solution for the quadratic dynamic programming problem Journal of Optimization Theory and Applications. 58: 319-330. DOI: 10.1007/Bf00939688  0.355
1987 Guelicher H, Dou J, Cipu M, Deaconescu M, Johnson CR, Wolkowicz G, Wolkowicz H, Luttmann R, Elkies ND. Elementary Problems: E3231-3236 American Mathematical Monthly. 94: 876. DOI: 10.2307/2322824  0.336
1986 Grone R, Johnson CR, Sa E, Wolkowicz H. A Note on Maximizing the Permanent of a Positive Definite Hermitian Matrix, Given the Eigenvalues Linear and Multilinear Algebra. 19: 389-393. DOI: 10.1080/03081088608817733  0.403
1986 Borwein JM, Wolkowicz H. A simple constraint qualification in infinite dimensional programming Mathematical Programming. 35: 83-96. DOI: 10.1007/Bf01589443  0.469
1986 Smith PW, Wolkowicz H. A nonlinear equation for linear programming Mathematical Programming. 34: 235-238. DOI: 10.1007/Bf01580588  0.423
1985 Butler GJ, Johnson CR, Wolkowicz H. Nonnegative Solutions of a Quadratic Matrix Equation Arising from Comparison Theorems in Ordinary Differential Equations Siam Journal On Algebraic and Discrete Methods. 6: 47-53. DOI: 10.1137/0606005  0.366
1985 Johnson CR, Kumar R, Wolkowicz H. Lower bounds for the spread of a matrix Linear Algebra and Its Applications. 71: 161-173. DOI: 10.1016/0024-3795(85)90244-7  0.366
1985 Merikoski JK, Wolkowicz H. Improving eigenvalue bounds using extra bounds Linear Algebra and Its Applications. 68: 93-113. DOI: 10.1016/0024-3795(85)90209-5  0.36
1985 Lamoureux M, Wolkowicz H. Numerical decomposition of a convex function Journal of Optimization Theory and Applications. 47: 51-64. DOI: 10.1007/Bf00941315  0.363
1984 Grone B, Johnson C, Marques De Sa E, Wolkowicz H. Improving Hadamard's Inequality Linear and Multilinear Algebra. 16: 305-322. DOI: 10.1080/03081088408817634  0.35
1984 Grone R, Johnson CR, Sá EM, Wolkowicz H. Positive definite completions of partial Hermitian matrices Linear Algebra and Its Applications. 58: 109-124. DOI: 10.1016/0024-3795(84)90207-6  0.34
1984 Smith PW, Wolkowicz H. Dimensionality of biinfinite systems Linear Algebra and Its Applications. 57: 115-130. DOI: 10.1016/0024-3795(84)90181-2  0.314
1983 Merikoski JK, Styan GPH, Wolkowicz H. Bounds for ratios of eigenvalues using traces Linear Algebra and Its Applications. 55: 105-124. DOI: 10.1016/0024-3795(83)90170-2  0.32
1983 Wolkowicz H. Method of reduction in convex programming Journal of Optimization Theory and Applications. 40: 349-378. DOI: 10.1007/Bf00933505  0.473
1983 Wolkowicz H. An optimality condition for a nondifferentiable convex program Naval Research Logistics Quarterly. 30: 415-418. DOI: 10.1002/Nav.3800300306  0.497
1981 Wolkowicz H. A Constrained Matrix Optimization Problem Siam Review. 23: 101-101. DOI: 10.1137/1023010  0.446
1981 Borwein JM, Wolkowicz H. Facial reduction for a cone-convex programming problem Journal of the Australian Mathematical Society. 30: 369-380. DOI: 10.1017/S1446788700017250  0.397
1981 Wolkowicz H. Some applications of optimization in matrix theory Linear Algebra and Its Applications. 40: 101-118. DOI: 10.1016/0024-3795(81)90143-9  0.512
1981 Borwein J, Wolkowicz H. Regularizing the abstract convex program Journal of Mathematical Analysis and Applications. 83: 495-530. DOI: 10.1016/0022-247X(81)90138-4  0.388
1981 Wolkowicz H. A strengthened test for optimality Journal of Optimization Theory and Applications. 35: 497-515. DOI: 10.1007/Bf00934929  0.432
1980 Wolkowicz H, Styan GPH. Bounds for eigenvalues using traces Linear Algebra and Its Applications. 29: 471-506. DOI: 10.1016/0024-3795(80)90258-X  0.415
1980 Wolkowicz H, Styan GPH. More bounds for elgenvalues using traces Linear Algebra and Its Applications. 31: 1-17. DOI: 10.1016/0024-3795(80)90201-3  0.327
1980 Wolkowicz H. Geometry of optimality conditions and constraint qualifications: The convex case Mathematical Programming. 19: 32-60. DOI: 10.1007/Bf01581627  0.505
1979 Wolkowicz H, Styan GPH. Extensions of samuelson’s inequality American Statistician. 33: 143-144. DOI: 10.1080/00031305.1979.10482683  0.341
1978 Wolkowicz H, Zlobec S. Calculating the best approximate solution of an operator equation Mathematics of Computation. 32: 1183-1213. DOI: 10.1090/S0025-5718-1978-0494922-X  0.381
1978 Wolkowicz H. Calculating the cone of directions of constancy Journal of Optimization Theory and Applications. 25: 451-457. DOI: 10.1007/Bf00932906  0.37
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