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## Burer, Samuel

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 Author ID: burer.samuel Published as: Burer, Samuel External Links: ORCID · dblp
 Documents Indexed: 51 Publications since 2001
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#### Co-Authors

 5 single-authored 9 Monteiro, Renato D. C. 7 Anstreicher, Kurt M. 5 Zhang, Yin 4 Chen, Jieqiu 4 Xu, Guanglin 3 Vandenbussche, Dieter 3 Yang, Boshi 2 Choi, Changhui 2 Dong, Hongbo 2 Letchford, Adam N. 1 Anjos, Miguel F. 1 Campbell, Ann Melissa 1 Cho, Nayoung 1 Dror, Moshe 1 Dür, Mirjam 1 Jones, Philip C. 1 Kılınç Karzan, Fatma 1 Kim, Sunyoung 1 Kojima, Masakazu 1 Lee, Jon 1 Lowe, Timothy J. 1 Park, Kyungchan 1 Piccialli, Veronica 1 Saxena, Anureet 1 Street, W. Nick 1 Ye, Yinyu 1 Zhang, Yi
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#### Serials

 17 Mathematical Programming. Series A. Series B 8 SIAM Journal on Optimization 5 Computational Optimization and Applications 5 Optimization Methods & Software 3 Mathematical Programming Computation 2 Journal of Global Optimization 2 European Journal of Operational Research 1 Operations Research Letters 1 Optimization 1 Linear Algebra and its Applications 1 Top 1 Far East Journal of Applied Mathematics 1 Journal of Machine Learning Research (JMLR) 1 Computational Management Science
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#### Fields

 49 Operations research, mathematical programming (90-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 982 times in 601 Documents Cited by Year
On the copositive representation of binary and continuous nonconvex quadratic programs. Zbl 1180.90234
Burer, Samuel
2009
A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization. Zbl 1030.90077
Burer, Samuel; Monteiro, Renato D. C.
2003
A finite branch-and-bound algorithm for nonconvex quadratic programming via semidefinite relaxations. Zbl 1135.90034
Burer, Samuel; Vandenbussche, Dieter
2008
Second-order-cone constraints for extended trust-region subproblems. Zbl 1298.90062
Burer, Samuel; Anstreicher, Kurt M.
2013
Local minima and convergence in low-rank semidefinite programming. Zbl 1099.90040
Burer, Samuel; Monteiro, Renato D. C.
2005
Computable representations for convex hulls of low-dimensional quadratic forms. Zbl 1198.90311
Anstreicher, Kurt M.; Burer, Samuel
2010
Solving lift-and-project relaxations of binary integer programs. Zbl 1113.90100
Burer, Samuel; Vandenbussche, Dieter
2006
Rank-two relaxation heuristics for MAX-CUT and other binary quadratic programs. Zbl 1152.90532
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2001
Globally solving nonconvex quadratic programming problems via completely positive programming. Zbl 1257.90065
Chen, Jieqiu; Burer, Samuel
2012
Copositive programming. Zbl 1334.90098
Burer, Samuel
2012
The trust region subproblem with non-intersecting linear constraints. Zbl 1308.90121
Burer, Samuel; Yang, Boshi
2015
Globally solving box-constrained nonconvex quadratic programs with semidefinite-based finite branch-and-bound. Zbl 1170.90522
Burer, Samuel; Vandenbussche, Dieter
2009
Optimizing a polyhedral-semidefinite relaxation of completely positive programs. Zbl 1190.90135
Burer, Samuel
2010
The MILP road to MIQCP. Zbl 1242.90122
Burer, Samuel; Saxena, Anureet
2012
On nonconvex quadratic programming with box constraints. Zbl 1201.90146
Burer, Samuel; Letchford, Adam N.
2009
A projected gradient algorithm for solving the maxcut SDP relaxation. Zbl 1109.90341
Burer, Samuel; Monteiro, Renato D. C.
2001
Representing quadratically constrained quadratic programs as generalized copositive programs. Zbl 1245.90080
Burer, Samuel; Dong, Hongbo
2012
Maximum stable set formulations and heuristics based on continuous optimization. Zbl 1023.90071
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2002
The difference between $$5\times 5$$ doubly nonnegative and completely positive matrices. Zbl 1175.15026
Burer, Samuel; Anstreicher, Kurt M.; Dür, Mirjam
2009
A gentle, geometric introduction to copositive optimization. Zbl 1327.90162
Burer, Samuel
2015
Solving a class of semidefinite programs via nonlinear programming. Zbl 1007.90045
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2002
D.C. versus copositive bounds for standard QP. Zbl 1093.90033
Anstreicher, Kurt M.; Burer, Samuel
2005
A copositive approach for two-stage adjustable robust optimization with uncertain right-hand sides. Zbl 1417.90150
Xu, Guanglin; Burer, Samuel
2018
A two-variable approach to the two-trust-region subproblem. Zbl 1333.90087
Yang, Boshi; Burer, Samuel
2016
A computational study of a gradient-based log-barrier algorithm for a class of large-scale SDPs. Zbl 1030.90076
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2003
Semidefinite programming in the space of partial positive semidefinite matrices. Zbl 1075.90059
Burer, Samuel
2003
How to convexify the intersection of a second order cone and a nonconvex quadratic. Zbl 1358.90095
Burer, Samuel; Kılınç-Karzan, Fatma
2017
Ensemble pruning via semi-definite programming. Zbl 1222.90050
Zhang, Yi; Burer, Samuel; Street, W. Nick
2006
Faster, but weaker, relaxations for quadratically constrained quadratic programs. Zbl 1303.90077
Burer, Samuel; Kim, Sunyoung; Kojima, Masakazu
2014
Interior-point algorithms for semidefinite programming based on a nonlinear formulation. Zbl 1006.90060
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2002
Quadratic programs with hollows. Zbl 1401.90147
Yang, Boshi; Anstreicher, Kurt; Burer, Samuel
2018
Computational enhancements in low-rank semidefinite programming. Zbl 1136.90429
Burer, Samuel; Choi, Changhui
2006
On handling free variables in interior-point methods for conic linear optimization. Zbl 1165.90682
Anjos, Miguel F.; Burer, Samuel
2007
Unbounded convex sets for non-convex mixed-integer quadratic programming. Zbl 1291.90146
Burer, Samuel; Letchford, Adam N.
2014
Solving maximum-entropy sampling problems using factored masks. Zbl 1278.90317
Burer, Samuel; Lee, Jon
2007
Separation and relaxation for cones of quadratic forms. Zbl 1273.90140
Burer, Samuel; Dong, Hongbo
2013
Robust sensitivity analysis of the optimal value of linear programming. Zbl 1382.90105
Xu, Guanglin; Burer, Samuel
2017
Coordinating the supply chain in the agricultural seed industry. Zbl 1137.91512
Burer, Samuel; Jones, Philip C.; Lowe, Timothy J.
2008
Exact semidefinite formulations for a class of (random and non-random) nonconvex quadratic programs. Zbl 1445.90073
Burer, Samuel; Ye, Yinyu
2020
A first-order smoothing technique for a class of large-scale linear programs. Zbl 1301.65042
Chen, Jieqiu; Burer, Samuel
2014
Newsvendor games: convex optimization of centralized inventory operations. Zbl 1262.90008
Burer, Samuel; Dror, Moshe
2012
A $$p$$-cone sequential relaxation procedure for $$0-1$$ integer programs. Zbl 1192.90124
Burer, Samuel; Chen, Jieqiu
2009
A semidefinite programming approach to the hypergraph minimum bisection problem. Zbl 1231.90365
Choi, Changhui; Burer, Samuel
2011
Relaxing the optimality conditions of box QP. Zbl 1242.90151
Burer, Samuel; Chen, Jieqiu
2011
Modifying Soyster’s model for the symmetric traveling salesman problem with interval travel times. Zbl 1302.90171
Cho, Nayoung; Burer, Samuel; Campbell, Ann Melissa
2014
A data-driven distributionally robust bound on the expected optimal value of uncertain mixed 0-1 linear programming. Zbl 1397.90272
Xu, Guanglin; Burer, Samuel
2018
A branch-and-bound algorithm for instrumental variable quantile regression. Zbl 1387.90178
Xu, Guanglin; Burer, Samuel
2017
Exact semidefinite formulations for a class of (random and non-random) nonconvex quadratic programs. Zbl 1445.90073
Burer, Samuel; Ye, Yinyu
2020
A copositive approach for two-stage adjustable robust optimization with uncertain right-hand sides. Zbl 1417.90150
Xu, Guanglin; Burer, Samuel
2018
Quadratic programs with hollows. Zbl 1401.90147
Yang, Boshi; Anstreicher, Kurt; Burer, Samuel
2018
A data-driven distributionally robust bound on the expected optimal value of uncertain mixed 0-1 linear programming. Zbl 1397.90272
Xu, Guanglin; Burer, Samuel
2018
How to convexify the intersection of a second order cone and a nonconvex quadratic. Zbl 1358.90095
Burer, Samuel; Kılınç-Karzan, Fatma
2017
Robust sensitivity analysis of the optimal value of linear programming. Zbl 1382.90105
Xu, Guanglin; Burer, Samuel
2017
A branch-and-bound algorithm for instrumental variable quantile regression. Zbl 1387.90178
Xu, Guanglin; Burer, Samuel
2017
A two-variable approach to the two-trust-region subproblem. Zbl 1333.90087
Yang, Boshi; Burer, Samuel
2016
The trust region subproblem with non-intersecting linear constraints. Zbl 1308.90121
Burer, Samuel; Yang, Boshi
2015
A gentle, geometric introduction to copositive optimization. Zbl 1327.90162
Burer, Samuel
2015
Faster, but weaker, relaxations for quadratically constrained quadratic programs. Zbl 1303.90077
Burer, Samuel; Kim, Sunyoung; Kojima, Masakazu
2014
Unbounded convex sets for non-convex mixed-integer quadratic programming. Zbl 1291.90146
Burer, Samuel; Letchford, Adam N.
2014
A first-order smoothing technique for a class of large-scale linear programs. Zbl 1301.65042
Chen, Jieqiu; Burer, Samuel
2014
Modifying Soyster’s model for the symmetric traveling salesman problem with interval travel times. Zbl 1302.90171
Cho, Nayoung; Burer, Samuel; Campbell, Ann Melissa
2014
Second-order-cone constraints for extended trust-region subproblems. Zbl 1298.90062
Burer, Samuel; Anstreicher, Kurt M.
2013
Separation and relaxation for cones of quadratic forms. Zbl 1273.90140
Burer, Samuel; Dong, Hongbo
2013
Globally solving nonconvex quadratic programming problems via completely positive programming. Zbl 1257.90065
Chen, Jieqiu; Burer, Samuel
2012
Copositive programming. Zbl 1334.90098
Burer, Samuel
2012
The MILP road to MIQCP. Zbl 1242.90122
Burer, Samuel; Saxena, Anureet
2012
Representing quadratically constrained quadratic programs as generalized copositive programs. Zbl 1245.90080
Burer, Samuel; Dong, Hongbo
2012
Newsvendor games: convex optimization of centralized inventory operations. Zbl 1262.90008
Burer, Samuel; Dror, Moshe
2012
A semidefinite programming approach to the hypergraph minimum bisection problem. Zbl 1231.90365
Choi, Changhui; Burer, Samuel
2011
Relaxing the optimality conditions of box QP. Zbl 1242.90151
Burer, Samuel; Chen, Jieqiu
2011
Computable representations for convex hulls of low-dimensional quadratic forms. Zbl 1198.90311
Anstreicher, Kurt M.; Burer, Samuel
2010
Optimizing a polyhedral-semidefinite relaxation of completely positive programs. Zbl 1190.90135
Burer, Samuel
2010
On the copositive representation of binary and continuous nonconvex quadratic programs. Zbl 1180.90234
Burer, Samuel
2009
Globally solving box-constrained nonconvex quadratic programs with semidefinite-based finite branch-and-bound. Zbl 1170.90522
Burer, Samuel; Vandenbussche, Dieter
2009
On nonconvex quadratic programming with box constraints. Zbl 1201.90146
Burer, Samuel; Letchford, Adam N.
2009
The difference between $$5\times 5$$ doubly nonnegative and completely positive matrices. Zbl 1175.15026
Burer, Samuel; Anstreicher, Kurt M.; Dür, Mirjam
2009
A $$p$$-cone sequential relaxation procedure for $$0-1$$ integer programs. Zbl 1192.90124
Burer, Samuel; Chen, Jieqiu
2009
A finite branch-and-bound algorithm for nonconvex quadratic programming via semidefinite relaxations. Zbl 1135.90034
Burer, Samuel; Vandenbussche, Dieter
2008
Coordinating the supply chain in the agricultural seed industry. Zbl 1137.91512
Burer, Samuel; Jones, Philip C.; Lowe, Timothy J.
2008
On handling free variables in interior-point methods for conic linear optimization. Zbl 1165.90682
Anjos, Miguel F.; Burer, Samuel
2007
Solving maximum-entropy sampling problems using factored masks. Zbl 1278.90317
Burer, Samuel; Lee, Jon
2007
Solving lift-and-project relaxations of binary integer programs. Zbl 1113.90100
Burer, Samuel; Vandenbussche, Dieter
2006
Ensemble pruning via semi-definite programming. Zbl 1222.90050
Zhang, Yi; Burer, Samuel; Street, W. Nick
2006
Computational enhancements in low-rank semidefinite programming. Zbl 1136.90429
Burer, Samuel; Choi, Changhui
2006
Local minima and convergence in low-rank semidefinite programming. Zbl 1099.90040
Burer, Samuel; Monteiro, Renato D. C.
2005
D.C. versus copositive bounds for standard QP. Zbl 1093.90033
Anstreicher, Kurt M.; Burer, Samuel
2005
A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization. Zbl 1030.90077
Burer, Samuel; Monteiro, Renato D. C.
2003
A computational study of a gradient-based log-barrier algorithm for a class of large-scale SDPs. Zbl 1030.90076
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2003
Semidefinite programming in the space of partial positive semidefinite matrices. Zbl 1075.90059
Burer, Samuel
2003
Maximum stable set formulations and heuristics based on continuous optimization. Zbl 1023.90071
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2002
Solving a class of semidefinite programs via nonlinear programming. Zbl 1007.90045
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2002
Interior-point algorithms for semidefinite programming based on a nonlinear formulation. Zbl 1006.90060
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2002
Rank-two relaxation heuristics for MAX-CUT and other binary quadratic programs. Zbl 1152.90532
Burer, Samuel; Monteiro, Renato D. C.; Zhang, Yin
2001
A projected gradient algorithm for solving the maxcut SDP relaxation. Zbl 1109.90341
Burer, Samuel; Monteiro, Renato D. C.
2001
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#### Cited by 828 Authors

 27 Burer, Samuel 24 Bomze, Immanuel M. 17 Locatelli, Marco 14 Deng, Zhibin 13 Anstreicher, Kurt M. 12 Fang, Shu-Cherng 12 Lu, Cheng 11 Letchford, Adam N. 10 Dür, Mirjam 10 Fan, Jinyan 10 Rendl, Franz 10 Xing, Wenxun 10 Zhou, Anwa 9 Dickinson, Peter J. C. 9 Kim, Sunyoung 9 Kojima, Masakazu 9 Li, Duan 9 Salahi, Maziar 8 Mitchell, John E. 8 Povh, Janez 7 Jarre, Florian 7 Jin, Qingwei 7 Lisser, Abdel 7 Misener, Ruth 7 Monteiro, Renato D. C. 7 Peng, Jiming 7 Tian, Ye 7 Wiegele, Angelika 6 Anjos, Miguel F. 6 Hao, Jin-Kao 6 Lu, Zhaosong 6 Palagi, Laura 6 Piccialli, Veronica 6 Wen, Zaiwen 6 Wolkowicz, Henry 6 Xia, Yong 6 Xu, Chengxian 6 Xu, Fengmin 5 Buchheim, Christoph 5 Dey, Santanu S. 5 Dong, Hongbo 5 Fampa, Marcia Helena C. 5 Floudas, Christodoulos Achilleus 5 Goldfarb, Donald 5 Guo, Xiaoling 5 Jeyakumar, Vaithilingam 5 Jiang, Rujun 5 Jiao, Hongwei 5 Kılınç Karzan, Fatma 5 Lee, Jon 5 Li, Guoyin 5 Luo, Hezhi 5 Pang, Jong-Shi 5 Rossi, Fabrizio 5 Sahinidis, Nikolaos V. 5 Schachinger, Werner 5 Smriglio, Stefano 5 Sotirov, Renata 5 Sun, Defeng 5 Toh, Kimchuan 5 Zuluaga, Luis Fernando 4 Bonami, Pierre 4 Cheng, Jianqiang 4 Eichfelder, Gabriele 4 Engau, Alexander 4 Grippo, Luigi 4 Natarajan, Karthik 4 Qi, Liqun 4 Still, Georg J. 4 Takeda, Akiko 4 Teo, Chungpiaw 4 Zheng, Xiaojin 4 Zhou, Jing 3 Atamtürk, Alper 3 Bai, Yanqin 3 Ben-Ameur, Walid 3 Berman, Abraham S. 3 Boumal, Nicolas 3 den Hertog, Dick 3 Galli, Laura 3 Giandomenico, Monia 3 Glover, Fred W. 3 Hahn, Peter M. 3 Hanasusanto, Grani A. 3 Hildebrand, Roland 3 Huang, Xuexiang 3 Jiang, Bo 3 Júdice, Joaquim João 3 Laurent, Monique 3 Ling, Aifan 3 Liuzzi, Giampaolo 3 Malick, Jérôme 3 Nie, Jiawang 3 Ortiz, Camilo 3 Ouorou, Adam 3 Pardalos, Panos M. 3 Puerto Albandoz, Justo 3 Rinaldi, Giovanni 3 Santana, Asteroide 3 Shaked-Monderer, Naomi ...and 728 more Authors
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#### Cited in 104 Serials

 88 Mathematical Programming. Series A. Series B 59 Journal of Global Optimization 43 SIAM Journal on Optimization 37 Computational Optimization and Applications 25 Optimization Letters 23 European Journal of Operational Research 22 Optimization Methods & Software 18 Linear Algebra and its Applications 17 Mathematical Programming Computation 14 Journal of Optimization Theory and Applications 12 Operations Research Letters 11 Operations Research 11 Discrete Optimization 10 Optimization 10 Journal of Industrial and Management Optimization 9 Computers & Operations Research 7 INFORMS Journal on Computing 7 Journal of the Operations Research Society of China 6 Discrete Applied Mathematics 5 Mathematics of Operations Research 5 SIAM Journal on Matrix Analysis and Applications 5 Computational and Applied Mathematics 5 Journal of Machine Learning Research (JMLR) 5 EURO Journal on Computational Optimization 4 Annals of Operations Research 4 Electronic Journal of Statistics 4 Science China. Mathematics 3 Linear and Multilinear Algebra 3 Applied Mathematics and Computation 3 Information Sciences 3 SIAM Journal on Discrete Mathematics 3 Machine Learning 3 Pattern Recognition 3 Cybernetics and Systems Analysis 3 Mathematical Problems in Engineering 3 Mathematical Methods of Operations Research 3 Foundations of Computational Mathematics 3 Computational Management Science 3 SIAM Journal on Imaging Sciences 2 Information Processing Letters 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Optimization 2 Journal of Computational and Applied Mathematics 2 Statistical Science 2 Asia-Pacific Journal of Operational Research 2 Japan Journal of Industrial and Applied Mathematics 2 Designs, Codes and Cryptography 2 Numerical Algorithms 2 SIAM Journal on Scientific Computing 2 Top 2 International Transactions in Operational Research 2 Journal of Heuristics 2 Acta Mathematica Sinica. English Series 2 RAIRO. Operations Research 2 Numerical Algebra, Control and Optimization 2 Open Mathematics 2 SIAM Journal on Mathematics of Data Science 1 Artificial Intelligence 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 The Annals of Statistics 1 Computing 1 International Journal of Game Theory 1 Journal of the American Statistical Association 1 Journal of Economic Theory 1 Journal of Econometrics 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Algorithmica 1 Discrete & Computational Geometry 1 Journal of Scientific Computing 1 Neural Computation 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Computational Statistics and Data Analysis 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 International Journal of Computer Vision 1 Constraints 1 ELA. The Electronic Journal of Linear Algebra 1 European Journal of Control 1 Abstract and Applied Analysis 1 Positivity 1 Taiwanese Journal of Mathematics 1 Journal of Combinatorial Optimization 1 Discrete Dynamics in Nature and Society 1 Computational Geosciences 1 CEJOR. Central European Journal of Operations Research 1 Optimization and Engineering 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 4OR 1 Fixed Point Theory and Applications 1 Networks and Spatial Economics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis ...and 4 more Serials
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#### Cited in 29 Fields

 551 Operations research, mathematical programming (90-XX) 89 Numerical analysis (65-XX) 59 Linear and multilinear algebra; matrix theory (15-XX) 37 Computer science (68-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 28 Statistics (62-XX) 24 Combinatorics (05-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Integral transforms, operational calculus (44-XX) 9 Convex and discrete geometry (52-XX) 8 Information and communication theory, circuits (94-XX) 5 Differential geometry (53-XX) 4 Quantum theory (81-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)