Edit Profile (opens in new tab) Wolkowicz, Henry Co-Author Distance Author ID: wolkowicz.henry Published as: Wolkowicz, Henry; Wolkowicz, H.; Wolkowitz, Henry more...less Homepage: https://www.math.uwaterloo.ca/~hwolkowi/ Documents Indexed: 138 Publications since 1978, including 15 Additional arXiv Preprints 10 Contributions as Editor Biographic References: 1 Publication Co-Authors: 110 Co-Authors with 130 Joint Publications 4,349 Co-Co-Authors all top 5 Co-Authors 16 single-authored 13 Rendl, Franz 7 Drusvyatskiy, Dmitriy 7 Johnson, Charles Royal 6 Alfakih, Abdo Y. 6 Borwein, Jonathan Michael 6 Hu, Hao 6 Kruk, Serge G. 5 Anjos, Miguel F. 5 Pardalos, Panos M. 5 Stern, Ronald Jay 4 Grone, Robert D. 4 Im, Jiyoung 4 Krislock, Nathan 4 Li, Xinxin 4 Marques de Sá, Eduardo 4 Sremac, Stefan 4 Tunçel, Levent 4 Wang, Fei 3 Bauschke, Heinz H. 3 Cheung, Yuen-Lam 3 Ding, Yichuan 3 Im, Haesol 3 Poljak, Svatopluk 3 Pong, Ting Kei 3 Reid, Greg J. 3 Saigal, Romesh 3 Styan, George P. H. 3 Vandenberghe, Lieven 3 Woerdeman, Hugo Jan 3 Zhao, Qing 2 Anstreicher, Kurt M. 2 Burkowski, Forbes J. 2 Graham, Naomi 2 Hadley, Scott W. 2 Helmberg, Christoph 2 Jeyakumar, Vaithilingam 2 Jung, Woosuk L. 2 Karisch, Stefan E. 2 Li, Chi-Kwong 2 Lin, Minghua 2 Merikoski, Jorma Kaarlo 2 Moursi, Walaa M. 2 Overton, Michael L. 2 Pelejo, Diane Christine P. 2 Smith, Philip W. 2 Sotirov, Renata 2 Sun, Hao 2 Théra, Michel A. 2 Vanderbei, Robert Joseph 2 Voronin, Yuen-Lam 2 Wei, Hua 1 Al-Homidan, Suliman S. 1 Bailey, David Harold 1 Beatson, Rick K. 1 Bhatia, Rajendra 1 Borwein, Peter Benjamin 1 Burachik, Regina Sandra 1 Butler, Geoffrey J. 1 Censor, Yair 1 Chen, Xin 1 Cheng, Jeffery 1 Combettes, Patrick L. 1 Davidson, Ian 1 Dennis, John E. jun. 1 Doan, Xuan Vinh 1 Elser, Veit 1 Falkner, Julie 1 Fampa, Marcia Helena C. 1 Fortin, Charles 1 Garvan, Frank G. 1 Ge, Dongdong 1 González-Lima, María D. 1 Grodzevich, Oleg 1 Guralnick, Robert Michael 1 Huang, Shimeng 1 Khandani, Amir Keyvan 1 Kirkland, Stephen J. 1 Kroschel, Brenda K. 1 Li, Guoyin 1 Lin, Jie 1 Lubke, Daniela Cristina 1 Luke, David Russell 1 Lütkenhaus, Norbert 1 Ma, Shiqian 1 Muramatsu, Masakazu 1 Nazareth, John Lawrence 1 Nesterov, Yurii 1 Oliveira, Danilo Elias 1 Pataki, Gábor 1 Pettersson, Lucas 1 Piccialli, Veronica 1 Potaptchik, Marina 1 Qian, Jiawei 1 Ramana, Motakuri V. 1 Salahi, Maziar 1 Schurr, Simon P. 1 Sutherland, W. R. S. 1 Taati, Akram 1 Torregrosa-Belén, David 1 Vanderwerff, Jon D. ...and 10 more Co-Authors all top 5 Serials 18 Linear Algebra and its Applications 12 Mathematical Programming. Series A. Series B 9 SIAM Journal on Optimization 8 Computational Optimization and Applications 6 Journal of Optimization Theory and Applications 5 Mathematics of Operations Research 5 Optimization Methods & Software 4 Linear and Multilinear Algebra 3 Discrete Applied Mathematics 3 Mathematical Programming 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Global Optimization 3 European Journal of Operational Research 3 Journal of Combinatorial Optimization 2 SIAM Journal on Numerical Analysis 2 Journal of the Australian Mathematical Society. Series A 2 INFORMS Journal on Computing 2 Optimization and Engineering 2 Fields Institute Communications 2 International Series in Operations Research & Management Science 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 Applied Mathematics Notes 1 Mathematical Programming Study 1 Utilitas Mathematica 1 SIAM Journal on Algebraic and Discrete Methods 1 Operations Research Letters 1 Annals of Operations Research 1 SIAM Review 1 Journal of Applied Mathematics 1 Portugaliae Mathematica. Nova Série 1 Quantum Information Processing 1 Naval Research Logistics Quarterly 1 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science 1 ACM Communications in Computer Algebra 1 Mathematical Programming Computation 1 Springer Proceedings in Mathematics & Statistics 1 Springer Optimization and Its Applications all top 5 Fields 114 Operations research, mathematical programming (90-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 28 Numerical analysis (65-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 9 General and overarching topics; collections (00-XX) 9 Convex and discrete geometry (52-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Approximations and expansions (41-XX) 3 Computer science (68-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 2,742 times in 1,810 Documents Cited by ▼ Year ▼ Handbook of semidefinite programming. Theory, algorithms, and applications. Zbl 0962.90001 225 2000 Positive definite completions of partial Hermitian matrices. Zbl 0547.15011 Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry 177 1984 An interior-point method for semidefinite programming. Zbl 0853.65066 Helmberg, Christoph; Rendl, Franz; Vanderbei, Robert J.; Wolkowicz, Henry 171 1996 Handbook of semidefinite programming. Theory, algorithms, and applications. Zbl 0951.90001 100 2000 Bounds for eigenvalues using traces. Zbl 0435.15015 Wolkowicz, Henry; Styan, George P. H. 88 1980 A semidefinite framework for trust region subproblems with applications to large scale minimization. Zbl 0888.90137 Rendl, Franz; Wolkowicz, Henry 78 1997 Semidefinite programming relaxations for the quadratic assignment problem. Zbl 0904.90145 Zhao, Qing; Karisch, Stefan E.; Rendl, Franz; Wolkowicz, Henry 77 1998 A recipe for semidefinite relaxation for \((0,1)\)-quadratic programming. Zbl 0843.90088 Poljak, S.; Rendl, F.; Wolkowicz, H. 74 1995 Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations. Zbl 0846.49017 Stern, Ronald J.; Wolkowicz, Henry 71 1995 Regularizing the abstract convex program. Zbl 0467.90076 Borwein, Jon; Wolkowicz, Henry 66 1981 The quadratic assignment problem: A survey and recent developments. Zbl 0817.90059 Pardalos, Panos M.; Rendl, Franz; Wolkowicz, Henry 64 1994 Normal matrices. Zbl 0613.15021 Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry 64 1987 Solving Euclidean distance matrix completion problems via semidefinite progrmming. Zbl 1040.90537 Alfakih, Abdo Y.; Khandani, Amir; Wolkowicz, Henry 58 1999 Strong duality for semidefinite programming. Zbl 0891.90129 Ramana, Motakuri V.; Tunçel, Levent; Wolkowicz, Henry 57 1997 Sizing and least-change secant methods. Zbl 0802.65081 Dennis, J. E. jun.; Wolkowicz, Henry 56 1993 The trust region subproblem and semidefinite programming. Zbl 1070.65041 Fortin, Charles; Wolkowicz, Henry 55 2004 Generalizations of Slater’s constraint qualification for infinite convex programs. Zbl 0771.90078 Jeyakumar, V.; Wolkowicz, Henry 49 1992 Facial reduction for a cone-convex programming problem. Zbl 0464.90086 Borwein, Jon M.; Wolkowicz, Henry 49 1981 Explicit sensor network localization using semidefinite representations and facial reductions. Zbl 1229.90250 Krislock, Nathan; Wolkowicz, Henry 40 2010 The generalized trust region subproblem. Zbl 1329.90100 Pong, Ting Kei; Wolkowicz, Henry 39 2014 Zero duality gaps in infinite-dimensional programming. Zbl 0687.90077 Jeyakumar, V.; Wolkowicz, H. 38 1990 Lower bounds for the spread of a matrix. Zbl 0578.15013 Johnson, Charles R.; Kumar, Ravinder; Wolkowicz, Henry 37 1985 On Lagrangian relaxation of quadratic matrix constraints. Zbl 0990.90088 Anstreicher, Kurt; Wolkowicz, Henry 36 2000 A new lower bound via projection for the quadratic assignment problem. Zbl 0767.90059 Hadley, S. W.; Rendl, F.; Wolkowicz, H. 35 1992 Semidefinite programming relaxations for the graph partitioning problem. Zbl 0932.90030 Wolkowicz, Henry; Zhao, Qing 32 1999 A projection technique for partitioning the nodes of a graph. Zbl 0841.90120 Rendl, Franz; Wolkowicz, Henry 32 1995 Exponential nonnegativity on the ice cream cone. Zbl 0716.15015 Stern, Ronald J.; Wolkowicz, Henry 30 1991 Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1–6, 2009. Zbl 1217.00018 28 2011 Semidefinite programming relaxations of nonconvex quadratic optimization. Zbl 0957.90528 Nesterov, Yuri; Wolkowicz, Henry; Ye, Yinyu 28 2000 Characterizations of optimality without constraint qualification for the abstract convex program. Zbl 0495.90085 Borwein, J. M.; Wolkowicz, H. 26 1982 Strengthened semidefinite relaxations via a second lifting for the Max-Cut problem. Zbl 1102.90369 Anjos, Miguel F.; Wolkowicz, Henry 26 2002 Convex relaxations of \((0,1)\)-quadratic programming. Zbl 0845.90089 Poljak, Svatopluk; Wolkowicz, Henry 23 1995 Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem. Zbl 0751.90051 Rendl, Franz; Wolkowicz, Henry 23 1992 Sensor network localization, Euclidean distance matrix completions, and graph realization. Zbl 1273.74387 Ding, Yichuan; Krislock, Nathan; Qian, Jiawei; Wolkowicz, Henry 23 2010 Topics in semidefinite and interior-point methods. Zbl 0890.00019 22 1998 Strong duality and minimal representations for cone optimization. Zbl 1284.90080 Tunçel, Levent; Wolkowicz, Henry 22 2012 The quasi-Cauchy relation and diagonal updating. Zbl 1013.90137 Zhu, M.; Nazareth, J. L.; Wolkowicz, H. 21 1999 Some applications of optimization in matrix theory. Zbl 0472.90078 Wolkowicz, Henry 20 1981 Characterization of optimality for the abstract convex program with finite dimensional range. Zbl 0469.90088 Borwein, Jon M.; Wolkowicz, Henry 18 1981 Hiroshima’s theorem and matrix norm inequalities. Zbl 1363.15038 Lin, Minghua; Wolkowicz, Henry 18 2015 A simple constraint qualification in infinite dimensional programming. Zbl 0597.90056 Borwein, J. M.; Wolkowicz, H. 17 1986 Coordinate shadows of semidefinite and Euclidean distance matrices. Zbl 1320.90054 Drusvyatskiy, Dmitriy; Pataki, Gábor; Wolkowicz, Henry 17 2015 An eigenvalue majorization inequality for positive semidefinite block matrices. Zbl 1253.15028 Lin, Minghua; Wolkowicz, Henry 17 2012 A computational study of graph partitioning. Zbl 0830.90130 Falkner, Julie; Rendl, Franz; Wolkowicz, Henry 16 1994 Euclidean distance matrices and applications. Zbl 1334.90109 Krislock, Nathan; Wolkowicz, Henry 16 2012 Local nonglobal minima for solving large-scale extended trust-region subproblems. Zbl 1391.90496 Salahi, Maziar; Taati, Akram; Wolkowicz, Henry 16 2017 Semidefinite programming for discrete optimization and matrix completion problems. Zbl 1060.90059 Wolkowicz, Henry; Anjos, Miguel F. 16 2002 Invariant ellipsoidal cones. Zbl 0725.15020 Stern, Ronald J.; Wolkowicz, Henry 15 1991 More bounds for eigenvalues using traces. Zbl 0434.15003 Wolkowicz, Henry; Styan, George P. H. 15 1980 Quadratic assignment and related problems. DIMACS Workshop, May 20-21, 1993, Rutgers Univ., New Brunswick, NJ, USA. Zbl 0797.00027 14 1994 Geometry of optimality conditions and constraint qualifications: The convex case. Zbl 0436.90082 Wolkowicz, Henry 13 1980 ADMM for the SDP relaxation of the QAP. Zbl 1411.90258 Oliveira, Danilo Elias; Wolkowicz, Henry; Xu, Yangyang 13 2018 Approximate and exact completion problems for Euclidean distance matrices using semidefinite programming. Zbl 1081.15011 Al-Homidan, Suliman; Wolkowicz, Henry 12 2005 Measures for symmetric rank-one updates. Zbl 0821.90111 Wolkowicz, Henry 12 1994 Strong duality for a trust-region type relaxation of the quadratic assignment problem. Zbl 0953.90034 Anstreicher, Kurt; Chen, Xin; Wolkowicz, Henry; Yuan, Yaxiang 12 1999 Two theorems on Euclidean distance matrices and Gale transform. Zbl 1004.15023 Alfakih, Abdo Y.; Wolkowicz, Henry 12 2002 Preprocessing and regularization for degenerate semidefinite programs. Zbl 1288.90060 Cheung, Yuen-Lam; Schurr, Simon; Wolkowicz, Henry 12 2013 A note on alternating projections for ill-posed semidefinite feasibility problems. Zbl 1360.90188 Drusvyatskiy, Dmitriy; Li, Guoyin; Wolkowicz, Henry 11 2017 Post-processing piecewise cubics for monotonicity. Zbl 0677.65011 Beatson, R. K.; Wolkowicz, H. 10 1989 Euclidean distance matrices, semidefinite programming and sensor network localization. Zbl 1223.51017 Alfakih, Abdo Y.; Anjos, Miguel F.; Piccialli, Veronica; Wolkowicz, Henry 9 2011 An interior-point method for approximate positive semidefinite completions. Zbl 0907.90207 Johnson, Charles R.; Kroschel, Brenda; Wolkowicz, Henry 9 1998 \(SQ^2P\), sequential quadratic constrained quadratic programming. Zbl 0909.90239 Kruk, Serge; Wolkowicz, Henry 9 1998 Nonnegative solutions of a quadratic matrix equation arising from comparison theorems in ordinary differential equations. Zbl 0558.15005 Butler, G. J.; Johnson, Charles R.; Wolkowicz, H. 9 1985 Matrix completion problems. Zbl 0957.90521 Alfakih, Abdo; Wolkowicz, Henry 9 2000 Noisy Euclidean distance realization: robust facial reduction and the Pareto frontier. Zbl 1373.90096 Drusvyatskiy, D.; Krislock, N.; Voronin, Yuen-Lam; Wolkowicz, H. 9 2017 The Gauss-Newton direction in semidefinite programming. Zbl 1017.90076 Kruk, Serge; Muramatsu, Masakazu; Rendl, Franz; Vanderbei, Robert J.; Wolkowicz, Henry 9 2001 On equivalence of semidefinite relaxations for quadratic matrix programming. Zbl 1218.90149 Ding, Yichuan; Ge, Dongdong; Wolkowicz, Henry 8 2011 Solving semidefinite programs using preconditioned conjugate gradients. Zbl 1068.90088 Wolkowicz, Henry 8 2004 Calculating the cone of directions of constancy. Zbl 0362.90132 Wolkowicz, H. 8 1978 An optimality condition for a nondifferentiable convex program. Zbl 0535.90072 Wolkowicz, Henry 7 1983 A note on maximizing the permanent of a positive definite Hermitian matrix, given the eigenvalues. Zbl 0597.15014 Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry 7 1986 A low-dimensional semidefinite relaxation for the quadratic assignment problem. Zbl 1218.90161 Ding, Yichuan; Wolkowicz, Henry 6 2009 Pseudolinear programming. Zbl 1053.90096 Kruk, Serge; Wolkowicz, Henry 6 1999 Sequential, quadratic constrained, quadratic programming for general nonlinear programming. Zbl 0957.90532 Kruk, Serge; Wolkowicz, Henry 6 2000 Semidefinite programming approaches to the quadratic assignment problem. Zbl 1038.90045 Wolkowicz, Henry 6 2000 Large scale portfolio optimization with piecewise linear transaction costs. Zbl 1154.91470 Potaptchik, Marina; Tunçel, Levent; Wolkowicz, Henry 6 2008 A nonlinear equation for linear programming. Zbl 0593.90049 Smith, P. W.; Wolkowicz, H. 6 1986 Trust region problems and nonsymmetric eigenvalue perturbations. Zbl 0806.15007 Stern, Ronald J.; Wolkowicz, Henry 6 1994 Eigenvalue, quadratic programming, and semidefinite programming relaxations for a cut minimization problem. Zbl 1360.90263 Pong, Ting Kei; Sun, Hao; Wang, Ningchuan; Wolkowicz, Henry 6 2016 Novel approaches to hard discrete optimization. Zbl 1013.00014 6 2003 Generating and measuring instances of hard semidefinite programs. Zbl 1198.90317 Wei, Hua; Wolkowicz, Henry 6 2010 Low-rank matrix completion using nuclear norm minimization and facial reduction. Zbl 1475.65036 Huang, Shimeng; Wolkowicz, Henry 6 2018 Explicit solutions for interval semidefinite linear programs. Zbl 0844.90057 Wolkowicz, Henry 5 1996 A stable primal-dual approach for linear programming under nondegeneracy assumptions. Zbl 1184.90100 Gonzalez-Lima, Maria; Wei, Hua; Wolkowicz, Henry 5 2009 Foreword to: Semidefinite programming. Zbl 0899.90135 Overton, Michael; Wolkowitz, Henry 5 1997 Geometry of semidefinite Max-Cut relaxations via matrix ranks. Zbl 1018.90030 Anjos, Miguel F.; Wolkowicz, Henry 5 2002 Error bounds and singularity degree in semidefinite programming. Zbl 1462.90086 Sremac, Stefan; Woerdeman, Hugo J.; Wolkowicz, Henry 5 2021 A strictly contractive Peaceman-Rachford splitting method for the doubly nonnegative relaxation of the minimum cut problem. Zbl 1465.05146 Li, Xinxin; Pong, Ting Kei; Sun, Hao; Wolkowicz, Henry 5 2021 Bounds for ratios of eigenvalues using traces. Zbl 0522.15008 Merikoski, Jorma Kaarlo; Styan, George P. H.; Wolkowicz, Henry 4 1983 Numerical decomposition of a convex function. Zbl 0548.90053 Lamoureux, M.; Wolkowicz, H. 4 1985 Improving Hadamard’s inequality. Zbl 0548.15014 Grone, Bob; Johnson, Charles; Marques de Sá, Eduardo; Wolkowicz, Henry 4 1984 A strengthened test for optimality. Zbl 0473.90066 Wolkowicz, H. 4 1981 Trust regions and relaxations for the quadratic assignment problem. Zbl 0819.90052 Karisch, Stefan E.; Rendl, Franz; Wolkowicz, Henry 4 1994 Symmetrization of nonsymmetric quadratic assignment problems and the Hoffman-Wielandt inequality. Zbl 0767.90070 Hadley, S. W.; Rendl, F.; Wolkowicz, H. 4 1992 Extreme point inequalities and geometry of the rank sparsity ball. Zbl 1327.90200 Drusvyatskiy, D.; Vavasis, S. A.; Wolkowicz, H. 4 2015 A robust algorithm for semidefinite programming. Zbl 1274.90257 Doan, Xuan Vinh; Kruk, Serge; Wolkowicz, Henry 4 2012 Method of reduction in convex programming. Zbl 0494.90059 Wolkowicz, Henry 3 1983 Semidefinite and Lagrangian relaxations for hard combinatorial problems. Zbl 0999.90031 Wolkowicz, Henry 3 2000 Strengthened existence and uniqueness conditions for search directions in semidefinite programming. Zbl 1066.90077 Tunçel, Levent; Wolkowicz, Henry 3 2005 Efficient use of semidefinite programming for selection of rotamers in protein conformations. Zbl 1304.90224 Burkowski, Forbes; Cheung, Yuen-Lam; Wolkowicz, Henry 3 2014 Facial reduction for symmetry reduced semidefinite and doubly nonnegative programs. Zbl 1519.90153 Hu, Hao; Sotirov, Renata; Wolkowicz, Henry 2 2023 A restricted dual peaceman-Rachford splitting method for a strengthened DNN relaxation for QAP. Zbl 07587561 Graham, Naomi; Hu, Hao; Im, Jiyoung; Li, Xinxin; Wolkowicz, Henry 1 2022 Error bounds and singularity degree in semidefinite programming. Zbl 1462.90086 Sremac, Stefan; Woerdeman, Hugo J.; Wolkowicz, Henry 5 2021 A strictly contractive Peaceman-Rachford splitting method for the doubly nonnegative relaxation of the minimum cut problem. Zbl 1465.05146 Li, Xinxin; Pong, Ting Kei; Sun, Hao; Wolkowicz, Henry 5 2021 A strengthened Barvinok-Pataki bound on SDP rank. Zbl 1525.90440 Im, Jiyoung; Wolkowicz, Henry 2 2021 Parametric convex quadratic relaxation of the quadratic knapsack problem. Zbl 1430.90452 Fampa, M.; Lubke, D.; Wang, F.; Wolkowicz, H. 2 2020 Robust principal component analysis using facial reduction. Zbl 1452.90252 Ma, Shiqian; Wang, Fei; Wei, Linchuan; Wolkowicz, Henry 2 2020 Noisy Euclidean distance matrix completion with a single missing node. Zbl 1433.90108 Sremac, Stefan; Wang, Fei; Wolkowicz, Henry; Pettersson, Lucas 1 2019 ADMM for the SDP relaxation of the QAP. Zbl 1411.90258 Oliveira, Danilo Elias; Wolkowicz, Henry; Xu, Yangyang 13 2018 Low-rank matrix completion using nuclear norm minimization and facial reduction. Zbl 1475.65036 Huang, Shimeng; Wolkowicz, Henry 6 2018 Maximum determinant positive definite Toeplitz completions. Zbl 1426.15044 Sremac, Stefan; Woerdeman, Hugo J.; Wolkowicz, Henry 1 2018 Local nonglobal minima for solving large-scale extended trust-region subproblems. Zbl 1391.90496 Salahi, Maziar; Taati, Akram; Wolkowicz, Henry 16 2017 A note on alternating projections for ill-posed semidefinite feasibility problems. Zbl 1360.90188 Drusvyatskiy, Dmitriy; Li, Guoyin; Wolkowicz, Henry 11 2017 Noisy Euclidean distance realization: robust facial reduction and the Pareto frontier. Zbl 1373.90096 Drusvyatskiy, D.; Krislock, N.; Voronin, Yuen-Lam; Wolkowicz, H. 9 2017 Finding maximum rank moment matrices by facial reduction on primal form and Douglas-Rachford iteration. Zbl 1433.90173 Wang, Fei; Reid, Greg; Wolkowicz, Henry 1 2017 Eigenvalue, quadratic programming, and semidefinite programming relaxations for a cut minimization problem. Zbl 1360.90263 Pong, Ting Kei; Sun, Hao; Wang, Ningchuan; Wolkowicz, Henry 6 2016 Hiroshima’s theorem and matrix norm inequalities. Zbl 1363.15038 Lin, Minghua; Wolkowicz, Henry 18 2015 Coordinate shadows of semidefinite and Euclidean distance matrices. Zbl 1320.90054 Drusvyatskiy, Dmitriy; Pataki, Gábor; Wolkowicz, Henry 17 2015 Extreme point inequalities and geometry of the rank sparsity ball. Zbl 1327.90200 Drusvyatskiy, D.; Vavasis, S. A.; Wolkowicz, H. 4 2015 Projection methods for quantum channel construction. Zbl 1327.81083 Drusvyatskiy, Dmitriy; Li, Chi-Kwong; Pelejo, Diane Christine; Voronin, Yuen-Lam; Wolkowicz, Henry 1 2015 The generalized trust region subproblem. Zbl 1329.90100 Pong, Ting Kei; Wolkowicz, Henry 39 2014 Efficient use of semidefinite programming for selection of rotamers in protein conformations. Zbl 1304.90224 Burkowski, Forbes; Cheung, Yuen-Lam; Wolkowicz, Henry 3 2014 Preprocessing and regularization for degenerate semidefinite programs. Zbl 1288.90060 Cheung, Yuen-Lam; Schurr, Simon; Wolkowicz, Henry 12 2013 Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. Zbl 1276.00018 1 2013 Strong duality and minimal representations for cone optimization. Zbl 1284.90080 Tunçel, Levent; Wolkowicz, Henry 22 2012 An eigenvalue majorization inequality for positive semidefinite block matrices. Zbl 1253.15028 Lin, Minghua; Wolkowicz, Henry 17 2012 Euclidean distance matrices and applications. Zbl 1334.90109 Krislock, Nathan; Wolkowicz, Henry 16 2012 A robust algorithm for semidefinite programming. Zbl 1274.90257 Doan, Xuan Vinh; Kruk, Serge; Wolkowicz, Henry 4 2012 Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1–6, 2009. Zbl 1217.00018 28 2011 Euclidean distance matrices, semidefinite programming and sensor network localization. Zbl 1223.51017 Alfakih, Abdo Y.; Anjos, Miguel F.; Piccialli, Veronica; Wolkowicz, Henry 9 2011 On equivalence of semidefinite relaxations for quadratic matrix programming. Zbl 1218.90149 Ding, Yichuan; Ge, Dongdong; Wolkowicz, Henry 8 2011 Explicit sensor network localization using semidefinite representations and facial reductions. Zbl 1229.90250 Krislock, Nathan; Wolkowicz, Henry 40 2010 Sensor network localization, Euclidean distance matrix completions, and graph realization. Zbl 1273.74387 Ding, Yichuan; Krislock, Nathan; Qian, Jiawei; Wolkowicz, Henry 23 2010 Generating and measuring instances of hard semidefinite programs. Zbl 1198.90317 Wei, Hua; Wolkowicz, Henry 6 2010 A low-dimensional semidefinite relaxation for the quadratic assignment problem. Zbl 1218.90161 Ding, Yichuan; Wolkowicz, Henry 6 2009 A stable primal-dual approach for linear programming under nondegeneracy assumptions. Zbl 1184.90100 Gonzalez-Lima, Maria; Wei, Hua; Wolkowicz, Henry 5 2009 Regularization using a parameterized trust region subproblem. Zbl 1165.90023 Grodzevich, Oleg; Wolkowicz, Henry 1 2009 Large scale portfolio optimization with piecewise linear transaction costs. Zbl 1154.91470 Potaptchik, Marina; Tunçel, Levent; Wolkowicz, Henry 6 2008 Approximate and exact completion problems for Euclidean distance matrices using semidefinite programming. Zbl 1081.15011 Al-Homidan, Suliman; Wolkowicz, Henry 12 2005 Strengthened existence and uniqueness conditions for search directions in semidefinite programming. Zbl 1066.90077 Tunçel, Levent; Wolkowicz, Henry 3 2005 The trust region subproblem and semidefinite programming. Zbl 1070.65041 Fortin, Charles; Wolkowicz, Henry 55 2004 Solving semidefinite programs using preconditioned conjugate gradients. Zbl 1068.90088 Wolkowicz, Henry 8 2004 Novel approaches to hard discrete optimization. Zbl 1013.00014 6 2003 Convergence of a short-step primal-dual algorithm based on the Gauss-Newton direction. Zbl 1080.65537 Kruk, Serge; Wolkowicz, Henry 2 2003 Strengthened semidefinite relaxations via a second lifting for the Max-Cut problem. Zbl 1102.90369 Anjos, Miguel F.; Wolkowicz, Henry 26 2002 Semidefinite programming for discrete optimization and matrix completion problems. Zbl 1060.90059 Wolkowicz, Henry; Anjos, Miguel F. 16 2002 Two theorems on Euclidean distance matrices and Gale transform. Zbl 1004.15023 Alfakih, Abdo Y.; Wolkowicz, Henry 12 2002 Geometry of semidefinite Max-Cut relaxations via matrix ranks. Zbl 1018.90030 Anjos, Miguel F.; Wolkowicz, Henry 5 2002 A note on lack of strong duality for quadratic problems with orthogonal constraints. Zbl 1058.90046 Wolkowicz, Henry 3 2002 The Gauss-Newton direction in semidefinite programming. Zbl 1017.90076 Kruk, Serge; Muramatsu, Masakazu; Rendl, Franz; Vanderbei, Robert J.; Wolkowicz, Henry 9 2001 Handbook of semidefinite programming. Theory, algorithms, and applications. Zbl 0962.90001 225 2000 Handbook of semidefinite programming. Theory, algorithms, and applications. Zbl 0951.90001 100 2000 On Lagrangian relaxation of quadratic matrix constraints. Zbl 0990.90088 Anstreicher, Kurt; Wolkowicz, Henry 36 2000 Semidefinite programming relaxations of nonconvex quadratic optimization. Zbl 0957.90528 Nesterov, Yuri; Wolkowicz, Henry; Ye, Yinyu 28 2000 Matrix completion problems. Zbl 0957.90521 Alfakih, Abdo; Wolkowicz, Henry 9 2000 Sequential, quadratic constrained, quadratic programming for general nonlinear programming. Zbl 0957.90532 Kruk, Serge; Wolkowicz, Henry 6 2000 Semidefinite programming approaches to the quadratic assignment problem. Zbl 1038.90045 Wolkowicz, Henry 6 2000 Semidefinite and Lagrangian relaxations for hard combinatorial problems. Zbl 0999.90031 Wolkowicz, Henry 3 2000 Solving Euclidean distance matrix completion problems via semidefinite progrmming. Zbl 1040.90537 Alfakih, Abdo Y.; Khandani, Amir; Wolkowicz, Henry 58 1999 Semidefinite programming relaxations for the graph partitioning problem. Zbl 0932.90030 Wolkowicz, Henry; Zhao, Qing 32 1999 The quasi-Cauchy relation and diagonal updating. Zbl 1013.90137 Zhu, M.; Nazareth, J. L.; Wolkowicz, H. 21 1999 Strong duality for a trust-region type relaxation of the quadratic assignment problem. Zbl 0953.90034 Anstreicher, Kurt; Chen, Xin; Wolkowicz, Henry; Yuan, Yaxiang 12 1999 Pseudolinear programming. Zbl 1053.90096 Kruk, Serge; Wolkowicz, Henry 6 1999 Semidefinite programming relaxations for the quadratic assignment problem. Zbl 0904.90145 Zhao, Qing; Karisch, Stefan E.; Rendl, Franz; Wolkowicz, Henry 77 1998 Topics in semidefinite and interior-point methods. Zbl 0890.00019 22 1998 An interior-point method for approximate positive semidefinite completions. Zbl 0907.90207 Johnson, Charles R.; Kroschel, Brenda; Wolkowicz, Henry 9 1998 \(SQ^2P\), sequential quadratic constrained quadratic programming. Zbl 0909.90239 Kruk, Serge; Wolkowicz, Henry 9 1998 Semidefinite programming and interior-point approaches for combinatorial optimization problems. 4 papers presented at the workshop on Semidefinite programming and interior-point approaches for combinatorial optimization problems, Fields Institute, Univ. of Toronto, Canada, May 15–17, 1996. Zbl 0901.00057 1 1998 A semidefinite framework for trust region subproblems with applications to large scale minimization. Zbl 0888.90137 Rendl, Franz; Wolkowicz, Henry 78 1997 Strong duality for semidefinite programming. Zbl 0891.90129 Ramana, Motakuri V.; Tunçel, Levent; Wolkowicz, Henry 57 1997 Foreword to: Semidefinite programming. Zbl 0899.90135 Overton, Michael; Wolkowitz, Henry 5 1997 Semidefinite programming. Dedicated to the memory of Svatopluk Polyak. Zbl 0880.00035 1 1997 An interior-point method for semidefinite programming. Zbl 0853.65066 Helmberg, Christoph; Rendl, Franz; Vanderbei, Robert J.; Wolkowicz, Henry 171 1996 Explicit solutions for interval semidefinite linear programs. Zbl 0844.90057 Wolkowicz, Henry 5 1996 A recipe for semidefinite relaxation for \((0,1)\)-quadratic programming. Zbl 0843.90088 Poljak, S.; Rendl, F.; Wolkowicz, H. 74 1995 Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations. Zbl 0846.49017 Stern, Ronald J.; Wolkowicz, Henry 71 1995 A projection technique for partitioning the nodes of a graph. Zbl 0841.90120 Rendl, Franz; Wolkowicz, Henry 32 1995 Convex relaxations of \((0,1)\)-quadratic programming. Zbl 0845.90089 Poljak, Svatopluk; Wolkowicz, Henry 23 1995 Combining semidefinite and polyhedral relaxations for integer programs. Zbl 1498.90138 Helmberg, C.; Poljak, S.; Rendl, F.; Wolkowicz, H. 3 1995 An all-inclusive efficient region of updates for least change secant methods. Zbl 0832.90112 Wolkowicz, Henry; Zhao, Qing 2 1995 The quadratic assignment problem: A survey and recent developments. Zbl 0817.90059 Pardalos, Panos M.; Rendl, Franz; Wolkowicz, Henry 64 1994 A computational study of graph partitioning. Zbl 0830.90130 Falkner, Julie; Rendl, Franz; Wolkowicz, Henry 16 1994 Quadratic assignment and related problems. DIMACS Workshop, May 20-21, 1993, Rutgers Univ., New Brunswick, NJ, USA. Zbl 0797.00027 14 1994 Measures for symmetric rank-one updates. Zbl 0821.90111 Wolkowicz, Henry 12 1994 Trust region problems and nonsymmetric eigenvalue perturbations. Zbl 0806.15007 Stern, Ronald J.; Wolkowicz, Henry 6 1994 Trust regions and relaxations for the quadratic assignment problem. Zbl 0819.90052 Karisch, Stefan E.; Rendl, Franz; Wolkowicz, Henry 4 1994 Sizing and least-change secant methods. Zbl 0802.65081 Dennis, J. E. jun.; Wolkowicz, Henry 56 1993 Generalizations of Slater’s constraint qualification for infinite convex programs. Zbl 0771.90078 Jeyakumar, V.; Wolkowicz, Henry 49 1992 A new lower bound via projection for the quadratic assignment problem. Zbl 0767.90059 Hadley, S. W.; Rendl, F.; Wolkowicz, H. 35 1992 Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem. Zbl 0751.90051 Rendl, Franz; Wolkowicz, Henry 23 1992 Symmetrization of nonsymmetric quadratic assignment problems and the Hoffman-Wielandt inequality. Zbl 0767.90070 Hadley, S. W.; Rendl, F.; Wolkowicz, H. 4 1992 Exponential nonnegativity on the ice cream cone. Zbl 0716.15015 Stern, Ronald J.; Wolkowicz, Henry 30 1991 Invariant ellipsoidal cones. Zbl 0725.15020 Stern, Ronald J.; Wolkowicz, Henry 15 1991 A note on generalized invariant cones and the Kronecker canonical form. Zbl 0726.15015 Stern, Ronald J.; Wolkowicz, Henry 2 1991 Zero duality gaps in infinite-dimensional programming. Zbl 0687.90077 Jeyakumar, V.; Wolkowicz, H. 38 1990 Post-processing piecewise cubics for monotonicity. Zbl 0677.65011 Beatson, R. K.; Wolkowicz, H. 10 1989 An explicit linear solution for the quadratic dynamic programming problem. Zbl 0628.90089 Sutherland, W. R. S.; Wolkowicz, H.; Zeidan, V. 1 1988 Normal matrices. Zbl 0613.15021 Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry 64 1987 A simple constraint qualification in infinite dimensional programming. Zbl 0597.90056 Borwein, J. M.; Wolkowicz, H. 17 1986 A note on maximizing the permanent of a positive definite Hermitian matrix, given the eigenvalues. Zbl 0597.15014 Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry 7 1986 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,322 Authors 60 Wolkowicz, Henry 43 Jeyakumar, Vaithilingam 33 Johnson, Charles Royal 29 Xia, Yong 24 Rendl, Franz 22 Sotirov, Renata 20 Leong, Wah June 19 Salahi, Maziar 18 Anjos, Miguel F. 18 de Klerk, Etienne 17 Alfakih, Abdo Y. 17 Terlaky, Tamás 16 Liberti, Leo 15 Klep, Igor 14 Kojima, Masakazu 14 Li, Guoyin 14 Toh, Kim Chuan 12 Li, Duan 12 Lourenço, Bruno F. 12 Nie, Jiawang 12 Parrilo, Pablo A. 12 Tunçel, Levent 11 Burer, Samuel 11 Helton, John William 11 Laurent, Monique 11 Lavor, Carlile Campos 11 Yang, Xiaoqi 10 Bai, Yanqin 10 Kheirfam, Behrouz 10 Kim, Sunyoung 10 Muramatsu, Masakazu 10 Povh, Janez 10 Roos, Cornelis 10 Seeger, Alberto 10 Wang, Guoqiang 10 Wiegele, Angelika 9 Liu, Hongwei 9 McCullough, Scott A. 9 Merikoski, Jorma Kaarlo 9 Mitchell, John E. 9 Pardalos, Panos M. 9 Pataki, Gábor 9 Pong, Ting Kei 9 Volčič, Jurij 9 Yamashita, Makoto 8 Kostyukova, Olga Ivanova 8 Letchford, Adam N. 8 Lu, Cheng 8 Mucherino, Antonio 8 Rodman, Leiba X. 8 Sharma, Rajesh 8 Tchemisova, Tatiana V. 8 Waki, Hayato 7 Gonçalves, Douglas Soares 7 Helmberg, Christoph 7 Jian, Jinbao 7 Jiang, Rujun 7 Krislock, Nathan 7 Lee, Gue Myung 7 Malick, Jérôme 7 Peng, Jiming 7 Qi, Houduo 7 Vandenberghe, Lieven 7 Xu, Chengxian 6 Alzalg, Baha M. 6 Andrei, Neculai 6 Atamtürk, Alper 6 Bakonyi, Mihály 6 Beck, Amir 6 Boţ, Radu Ioan 6 Deng, Zhibin 6 Hassan, Malik Abu 6 Hogben, Leslie 6 Ikramov, Saidkhakim Dododshanovich 6 Kılınç Karzan, Fatma 6 Leulmi, Assma 6 Lin, Minghua 6 Lundquist, Michael E. 6 Monteiro, Renato D. C. 6 Nakata, Kazuhide 6 Rajaratnam, Bala 6 Roshchina, Vera 6 Sheu, Ruey-Lin 6 Teboulle, Marc 6 Teo, Kok Lay 6 Torki, Mounir 6 Tsuchiya, Takashi 6 Wu, Zhiyou 6 Zhang, Fuzhen 6 Zhang, Qinghong 6 Zlobec, Sanjo 5 Al-Homidan, Suliman S. 5 Barrett, Wayne W. 5 Ben-Tal, Aharon 5 Blekherman, Grigoriy 5 Borwein, Jonathan Michael 5 Craven, Bruce Desmond 5 Drusvyatskiy, Dmitriy 5 Fukuda, Mituhiro 5 Goulart, Paul J. ...and 2,222 more Authors all top 5 Cited in 307 Serials 202 Linear Algebra and its Applications 148 Mathematical Programming. Series A. 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Journal of Mathematical Modelling and Algorithms 3 Frontiers of Mathematics in China ...and 207 more Serials all top 5 Cited in 57 Fields 1,241 Operations research, mathematical programming (90-XX) 364 Linear and multilinear algebra; matrix theory (15-XX) 287 Numerical analysis (65-XX) 154 Combinatorics (05-XX) 148 Calculus of variations and optimal control; optimization (49-XX) 90 Convex and discrete geometry (52-XX) 82 Computer science (68-XX) 81 Operator theory (47-XX) 64 Statistics (62-XX) 49 Systems theory; control (93-XX) 42 Algebraic geometry (14-XX) 38 Functional analysis (46-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Probability theory and stochastic processes (60-XX) 24 Biology and other natural sciences (92-XX) 24 Information and communication theory, circuits (94-XX) 23 Commutative algebra (13-XX) 22 Real functions (26-XX) 22 Geometry (51-XX) 18 Approximations and expansions (41-XX) 16 Quantum theory (81-XX) 14 Ordinary differential equations (34-XX) 13 Associative rings and algebras (16-XX) 12 Number theory (11-XX) 11 Mechanics of deformable solids (74-XX) 10 Partial differential equations (35-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 General topology (54-XX) 7 Field theory and polynomials (12-XX) 7 Nonassociative rings and algebras (17-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 5 Abstract harmonic analysis (43-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year