# zbMATH — the first resource for mathematics

## Zhao, Gongyun

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 Author ID: zhao.gongyun Published as: Zhao, G.; Zhao, G. Y.; Zhao, Gongyun
 Documents Indexed: 41 Publications since 1983, including 2 Books Reviewing Activity: 15 Reviews
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#### Co-Authors

 7 single-authored 10 Sun, Jie 4 Toh, Kimchuan 4 Zhu, Jishan 3 Meng, Fanwen 3 Sim, Chee-Khian 2 Liu, Xinwei 2 Sun, Defeng 1 Birge, John R. 1 de Souza, Robert 1 Goh, Mark 1 Huang, Zheng-Hai 1 Rath, Kali P. 1 Soon, Wanmei 1 Zhang, Jieping 1 Zhou, Guanglu
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#### Serials

 8 Mathematical Programming. Series A. Series B 7 SIAM Journal on Optimization 3 Computational Optimization and Applications 2 Journal of Optimization Theory and Applications 2 Optimization 1 Journal of Computational and Applied Mathematics 1 Mathematics of Operations Research 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 Journal of Xiamen University. Natural Science 1 Asia-Pacific Journal of Operational Research 1 European Journal of Applied Mathematics 1 Games and Economic Behavior 1 Pacific Journal of Optimization
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#### Fields

 30 Operations research, mathematical programming (90-XX) 7 Numerical analysis (65-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

32 Publications have been cited 247 times in 181 Documents Cited by Year
Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization. Zbl 1093.90059
Meng, Fanwen; Sun, Defeng; Zhao, Gongyun
2005
On the complexity of following the central path of linear programs by linear extrapolation. II. Zbl 0742.90056
Sonnevend, G.; Stoer, J.; Zhao, G.
1991
A smoothing Newton-type algorithm of stronger convergence for the quadratically constrained convex quadratic programming. Zbl 1151.90509
Huang, Zhenghai; Sun, Defeng; Zhao, Gongyun
2006
A log-barrier method with Benders decomposition for solving two-stage stochastic linear programs. Zbl 1023.90045
Zhao, Gongyun
2001
A Lagrangian dual method with self-concordant barriers for multi-stage stochastic convex programming. Zbl 1058.90043
Zhao, Gongyun
2005
Estimating the complexity of a class of path-following methods for solving linear programs by curvature integrals. Zbl 0768.90056
Zhao, G.; Stoer, J.
1993
Underlying paths in interior point methods for the monotone semidefinite linear complementarity problem. Zbl 1203.90160
Sim, Chee-Khian; Zhao, Gongyun
2007
An analytic center cutting plane method for semidefinite feasibility problems. Zbl 1082.90555
Sun, Jie; Toh, Kim-Chuan; Zhao, Gongyun
2002
Interior point algorithms for linear complementarity problems based on large neighborhoods of the central path. Zbl 0913.90254
Zhao, Gongyun
1998
A multiple-cut analytic center cutting plane method for semidefinite feasibility problems. Zbl 1012.65056
Toh, Kim-Chuan; Zhao, Gongyun; Sun, Jie
2002
On the rate of local convergence of high-order-infeasible-path-following algorithms for $$P_*$$-linear complementarity problems. Zbl 0961.90118
Zhao, Gongyun; Sun, Jie
1999
Global linear and local quadratic convergence of a long-step adaptive-mode interior point method for some monotone variational inequality problems. Zbl 0915.90247
Sun, Jie; Zhao, Gongyun
1998
Complementarity demand functions and pricing models for multi-product markets. Zbl 1193.91079
Soon, Wanmei; Zhao, Gongyun; Zhang, Jieping
2009
A predictor-corrector algorithm for a class of nonlinear saddle point problems. Zbl 0868.49006
Sun, Jie; Zhu, Jishan; Zhao, Gongyun
1997
Asymptotic behavior of helmberg-kojima-Monteiro (HKM) paths in interior-point methods for monotone semidefinite linear complementarity problems: General theory. Zbl 1144.90494
Sim, C. K.; Zhao, G.
2008
A note on treating a second order cone program as a special case of a semidefinite program. Zbl 1059.90118
Sim, Chee-Khian; Zhao, Gongyun
2005
On second-order properties of the Moreau-Yosida regularization for constrained nonsmooth convex programs. Zbl 1071.90030
Meng, Fanwen; Zhao, Gongyun
2004
A quadratically convergent polynomial long-step algorithm for a class of nonlinear monotone complementarity problems. Zbl 1052.90101
Sun, J.; Zhao, G.
2000
Lagrangian-dual functions and Moreau-Yosida regularization. Zbl 1190.90123
Meng, Fanwen; Zhao, Gongyun; Goh, Mark; De Souza, Robert
2008
A decomposition method based on SQP for a class of multistage stochastic nonlinear programs. Zbl 1043.90058
Liu, Xinwei; Zhao, Gongyun
2003
Interior-point methods with decomposition for solving large-scale linear programs. Zbl 0974.90028
Zhao, G. Y.
1999
On the relationship between the curvature integral and the complexity of path-following methods in linear programming. Zbl 0846.90074
Zhao, Gongyun
1996
Quadratic convergence of a long-step interior-point method for nonlinear monotone variational inequality problems. Zbl 0907.90263
Sun, J.; Zhao, G. Y.
1998
The curvature integral and the complexity of linear complementarity problems. Zbl 0841.90118
Zhao, Gongyun; Zhu, Jishan
1995
Analytical properties of the central trajectory in interior point methods. Zbl 0828.90089
Zhao, Gongyun; Zhu, Jishan
1994
Representing the space of linear programs as the Grassmann manifold. Zbl 1190.90099
Zhao, Gongyun
2010
On the complexity of following the central path of linear programs by linear extrapolation. Zbl 0726.90056
Sonnevend, G.; Stoer, J.; Zhao, G.
1990
Mode selection in aggregated models. Zbl 0509.93011
Zhao, G.; Sinha, N. K.
1983
Convergence analysis of an infeasible interior point algorithm based on a regularized central path for linear complementarity problems. Zbl 1046.90045
Zhou, Guanglu; Toh, Kim-Chuan; Zhao, Gongyun
2004
Nonminimal product differentiation as a bargaining outcome. Zbl 1035.91010
Rath, Kali P.; Zhao, Gongyun
2003
Subspace methods for solving linear programming problems. Zbl 0924.90109
Sonnevend, G.; Stoer, J.; Zhao, G.
1998
A primal-dual affine scaling algorithm with necessary centering as a safeguard. Zbl 0874.90136
Zhao, Gongyun; Sun, Jie; Zhu, Jishan
1995
Representing the space of linear programs as the Grassmann manifold. Zbl 1190.90099
Zhao, Gongyun
2010
Complementarity demand functions and pricing models for multi-product markets. Zbl 1193.91079
Soon, Wanmei; Zhao, Gongyun; Zhang, Jieping
2009
Asymptotic behavior of helmberg-kojima-Monteiro (HKM) paths in interior-point methods for monotone semidefinite linear complementarity problems: General theory. Zbl 1144.90494
Sim, C. K.; Zhao, G.
2008
Lagrangian-dual functions and Moreau-Yosida regularization. Zbl 1190.90123
Meng, Fanwen; Zhao, Gongyun; Goh, Mark; De Souza, Robert
2008
Underlying paths in interior point methods for the monotone semidefinite linear complementarity problem. Zbl 1203.90160
Sim, Chee-Khian; Zhao, Gongyun
2007
A smoothing Newton-type algorithm of stronger convergence for the quadratically constrained convex quadratic programming. Zbl 1151.90509
Huang, Zhenghai; Sun, Defeng; Zhao, Gongyun
2006
Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization. Zbl 1093.90059
Meng, Fanwen; Sun, Defeng; Zhao, Gongyun
2005
A Lagrangian dual method with self-concordant barriers for multi-stage stochastic convex programming. Zbl 1058.90043
Zhao, Gongyun
2005
A note on treating a second order cone program as a special case of a semidefinite program. Zbl 1059.90118
Sim, Chee-Khian; Zhao, Gongyun
2005
On second-order properties of the Moreau-Yosida regularization for constrained nonsmooth convex programs. Zbl 1071.90030
Meng, Fanwen; Zhao, Gongyun
2004
Convergence analysis of an infeasible interior point algorithm based on a regularized central path for linear complementarity problems. Zbl 1046.90045
Zhou, Guanglu; Toh, Kim-Chuan; Zhao, Gongyun
2004
A decomposition method based on SQP for a class of multistage stochastic nonlinear programs. Zbl 1043.90058
Liu, Xinwei; Zhao, Gongyun
2003
Nonminimal product differentiation as a bargaining outcome. Zbl 1035.91010
Rath, Kali P.; Zhao, Gongyun
2003
An analytic center cutting plane method for semidefinite feasibility problems. Zbl 1082.90555
Sun, Jie; Toh, Kim-Chuan; Zhao, Gongyun
2002
A multiple-cut analytic center cutting plane method for semidefinite feasibility problems. Zbl 1012.65056
Toh, Kim-Chuan; Zhao, Gongyun; Sun, Jie
2002
A log-barrier method with Benders decomposition for solving two-stage stochastic linear programs. Zbl 1023.90045
Zhao, Gongyun
2001
A quadratically convergent polynomial long-step algorithm for a class of nonlinear monotone complementarity problems. Zbl 1052.90101
Sun, J.; Zhao, G.
2000
On the rate of local convergence of high-order-infeasible-path-following algorithms for $$P_*$$-linear complementarity problems. Zbl 0961.90118
Zhao, Gongyun; Sun, Jie
1999
Interior-point methods with decomposition for solving large-scale linear programs. Zbl 0974.90028
Zhao, G. Y.
1999
Interior point algorithms for linear complementarity problems based on large neighborhoods of the central path. Zbl 0913.90254
Zhao, Gongyun
1998
Global linear and local quadratic convergence of a long-step adaptive-mode interior point method for some monotone variational inequality problems. Zbl 0915.90247
Sun, Jie; Zhao, Gongyun
1998
Quadratic convergence of a long-step interior-point method for nonlinear monotone variational inequality problems. Zbl 0907.90263
Sun, J.; Zhao, G. Y.
1998
Subspace methods for solving linear programming problems. Zbl 0924.90109
Sonnevend, G.; Stoer, J.; Zhao, G.
1998
A predictor-corrector algorithm for a class of nonlinear saddle point problems. Zbl 0868.49006
Sun, Jie; Zhu, Jishan; Zhao, Gongyun
1997
On the relationship between the curvature integral and the complexity of path-following methods in linear programming. Zbl 0846.90074
Zhao, Gongyun
1996
The curvature integral and the complexity of linear complementarity problems. Zbl 0841.90118
Zhao, Gongyun; Zhu, Jishan
1995
A primal-dual affine scaling algorithm with necessary centering as a safeguard. Zbl 0874.90136
Zhao, Gongyun; Sun, Jie; Zhu, Jishan
1995
Analytical properties of the central trajectory in interior point methods. Zbl 0828.90089
Zhao, Gongyun; Zhu, Jishan
1994
Estimating the complexity of a class of path-following methods for solving linear programs by curvature integrals. Zbl 0768.90056
Zhao, G.; Stoer, J.
1993
On the complexity of following the central path of linear programs by linear extrapolation. II. Zbl 0742.90056
Sonnevend, G.; Stoer, J.; Zhao, G.
1991
On the complexity of following the central path of linear programs by linear extrapolation. Zbl 0726.90056
Sonnevend, G.; Stoer, J.; Zhao, G.
1990
Mode selection in aggregated models. Zbl 0509.93011
Zhao, G.; Sinha, N. K.
1983
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#### Cited by 270 Authors

 12 Zhao, Gongyun 8 Huang, Zheng-Hai 8 Sun, Jie 8 Zhang, Liwei 6 Sun, Defeng 6 Ye, Yinyu 5 Alzalg, Baha M. 5 Sim, Chee-Khian 4 Chen, Jein-Shan 4 Mitchell, John E. 4 Ni, Tie 4 Terlaky, Tamás 4 Toh, Kimchuan 4 Tran Dinh Quoc 4 Tsuchiya, Takashi 4 Zhao, Na 3 Ariyawansa, K. A. 3 Diehl, Moritz Mathias 3 Federgruen, Awi 3 Goh, Mark 3 Hu, Ming 3 Liu, Hongwei 3 Meng, Fanwen 3 Necoara, Ion 3 Oskoorouchi, Mohammad R. 3 Potra, Florian-Alexandru 3 Wang, Guoqiang 3 Zhang, Jianzhong 3 Zhang, Yi 3 Zhu, Jishan 2 Bai, Zhengjian 2 Bellavia, Stefania 2 Castillo, Enrique F. 2 Conejo, Antonio J. 2 De Loera, Jesús A. 2 Gu, Weizhe 2 Han, Jiye 2 Holder, Allen G. 2 Jian, Jinbao 2 Kakihara, Satoshi 2 Kong, Lingchen 2 Liao, Li-Zhi 2 Lin, Anhua 2 Ling, Chen 2 Liu, Sanyang 2 Liu, Xiaohong 2 Liu, Xinwei 2 Liu, Yong-Jin 2 Ma, Changfeng 2 Mínguez, Roberto 2 Ohara, Atsumi 2 Perakis, Georgia 2 Petra, Cosmin G. 2 Qi, Liqun 2 Qian, Xun 2 Stoer, Josef 2 Tang, Chunming 2 Todd, Michael J. 2 Wang, Chengjing 2 Wu, Jia 2 Xiao, Xiantao 2 Xiu, Naihua 2 Ye, Jane J. 2 Yoshise, Akiko 2 Zhao, Yanbo 2 Zhou, Jinchuan 2 Zhu, Yuntao 1 Aghassi, Michele 1 Allamigeon, Xavier 1 Amir, Rabah 1 Ang, James S. K. 1 Anitescu, Mihai 1 Anstreicher, Kurt M. 1 Armellini, Alessandro 1 Basescu, Vasile L. 1 Benchimol, Pascal 1 Benterki, Djamel 1 Berkelaar, Arjan B. 1 Bertsimas, Dimitris John 1 Bettayeb, Maamar 1 Bonnans, Joseph Frédéric 1 Borghi, Alexandre 1 Cai, Xinzhong 1 Caron, Richard J. 1 Chen, Caihua 1 Chen, Guo 1 Chen, Linjie 1 Chen, Meixiang 1 Chen, Xiaojun 1 Ching, Wai-Ki 1 Cho, Gyeong-Mi 1 Claus, Matthias 1 Costa, Alysson M. 1 Darbon, Jerome 1 Darvay, Zsolt 1 de Souza, Robert 1 Deza, Antoine 1 Ding, Chao 1 Djuranović-Miličić, Nada I. 1 Dong, Zhaoyang ...and 170 more Authors
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#### Cited in 53 Serials

 27 Mathematical Programming. Series A. Series B 20 Journal of Optimization Theory and Applications 16 Computational Optimization and Applications 11 Applied Mathematics and Computation 10 Journal of Computational and Applied Mathematics 9 Optimization 7 Optimization Methods & Software 5 Operations Research Letters 5 European Journal of Operational Research 5 Mathematical Methods of Operations Research 4 Annals of Operations Research 3 Applied Mathematics and Optimization 3 Numerical Functional Analysis and Optimization 3 Journal of Global Optimization 3 SIAM Journal on Optimization 2 Mathematics of Computation 2 Operations Research 2 Applied Numerical Mathematics 2 Computers & Operations Research 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Top 2 Journal of Applied Mathematics and Computing 2 Set-Valued and Variational Analysis 2 Mathematical Programming Computation 1 Computers & Mathematics with Applications 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Information Sciences 1 Journal of Economic Theory 1 Kybernetika 1 Naval Research Logistics 1 Numerische Mathematik 1 Theoretical Computer Science 1 Statistical Science 1 Discrete & Computational Geometry 1 Asia-Pacific Journal of Operational Research 1 Games and Economic Behavior 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Journal of Convex Analysis 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Positivity 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Acta Mathematica Sinica. English Series 1 Foundations of Computational Mathematics 1 Journal of Systems Science and Complexity 1 Optimization Letters 1 Fuzzy Information and Engineering 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 19 Fields

 160 Operations research, mathematical programming (90-XX) 46 Numerical analysis (65-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Convex and discrete geometry (52-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 Commutative algebra (13-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)