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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