Edit Profile (opens in new tab) He, Bingsheng Co-Author Distance Author ID: he.bingsheng Published as: He, Bingsheng; He, B. S.; He, Bing-Sheng; He, Bing-sheng; He, Bingshen; He, BingSheng; He, B. more...less Homepage: http://maths.nju.edu.cn/~hebma/ External Links: MGP Documents Indexed: 136 Publications since 1986, including 1 Book and 5 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 50 Co-Authors with 93 Joint Publications 2,206 Co-Co-Authors all top 5 Co-Authors 36 single-authored 47 Yuan, Xiaoming 11 Liao, Li-Zhi 10 Yang, Hai 6 Ma, Feng 6 Xu, Shengjie 5 Tao, Min 5 Wang, Shengli 4 Fu, Xiaoling 4 Gu, GuoYong 4 Han, Deren 4 He, Xiaozheng 4 Wang, Xiang 4 Xu, Minghua 3 Chen, Caihua 3 Li, Min 3 Liu, Han 3 Liu, Henry X. 3 Xu, Ya 3 Yang, Zhenhua 2 Cai, Xingju 2 Qian, Maijian 2 Shen, Yuan 2 Yang, Junfeng 2 You, Yanfei 2 Zhang, Wenxing 1 Cui, Yingchuan 1 de Klerk, Etienne 1 Ding, Jiu 1 Fang, Ethan X. 1 Goh, Thong Ngee 1 Gupta, Pushpa Lata 1 Han, Qiaoming 1 He, Xuchu 1 Hou, Liusheng 1 Jiang, Jianlin 1 Lin, Yingjiu 1 Lu, Juwei 1 Lu, Xiaohong 1 Meng, Qiang 1 Ni, Qin 1 Ouyang, Zixiang 1 Peng, Zheng 1 Qiu, Y. B. 1 Roos, Cornelis 1 Shang, Yi 1 Sheng, Songbai 1 Stancil, P. C. 1 Stoer, Josef 1 Sun, Wenyu 1 Terlaky, Tamás 1 Tong, Xiaojiao 1 Wang, Xiangfeng 1 Wang, Yumei 1 Wang, Zhaoran 1 Wang, Zhiyong 1 Wu, Soon-Yi 1 Wu, Ting 1 Xiao, Yunhai 1 Xie, Min 1 Xiong, Caidong 1 Xu, Hong-Kun 1 Xu, Wei 1 Yan, Jun 1 Ye, Yinyu 1 Yuan, Jing 1 Zhang, Chensong 1 Zhang, Guoguang 1 Zhang, Jianzhong 1 Zhou, Jing 1 Zhu, Yiran all top 5 Serials 11 Computational Optimization and Applications 10 Journal of Optimization Theory and Applications 9 Numerical Mathematics 9 Journal of Computational Mathematics 5 Mathematical Programming. Series A. Series B 4 Numerische Mathematik 4 Journal of Nanjing University. Mathematical Biquarterly 4 SIAM Journal on Imaging Sciences 3 IMA Journal of Numerical Analysis 3 Journal of Mathematical Analysis and Applications 3 European Journal of Operational Research 3 SIAM Journal on Optimization 3 Pacific Journal of Optimization 3 Frontiers of Mathematics in China 3 Journal of the Operations Research Society of China 2 Computers & Mathematics with Applications 2 Applied Mathematics and Optimization 2 Mathematica Numerica Sinica 2 Optimization 2 Science in China. Series A 2 Linear Algebra and its Applications 2 Journal of Mathematical Imaging and Vision 2 Chinese Journal of Numerical Mathematics and Applications 2 Optimization Methods & Software 2 Networks and Spatial Economics 2 Journal of Industrial and Management Optimization 2 Scientia Sinica. Mathematica 2 Numerical Algebra, Control and Optimization 2 Operations Research Transactions 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Mathematics of Operations Research 1 SIAM Journal on Numerical Analysis 1 Journal of Nanjing University. Natural Sciences 1 Operations Research Letters 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Mathematica Applicata 1 Journal of Scientific Computing 1 Annals of Operations Research 1 Chinese Science Bulletin 1 Numerical Mathematics 1 Journal of Applied Statistical Science 1 Advances in Nonlinear Variational Inequalities 1 Mathematical Methods of Operations Research 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Analysis in Theory and Applications 1 Advanced Modeling and Optimization 1 Communications in Computational Physics 1 Mathematical Programming Computation 1 Science China. Mathematics 1 SMAI Journal of Computational Mathematics all top 5 Fields 105 Operations research, mathematical programming (90-XX) 68 Numerical analysis (65-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 9 Information and communication theory, circuits (94-XX) 6 Operator theory (47-XX) 5 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 3,326 times in 1,506 Documents Cited by ▼ Year ▼ On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084 He, Bingsheng; Yuan, Xiaoming 298 2012 A new inexact alternating directions method for monotone variational inequalities. Zbl 1009.90108 He, Bingsheng; Liao, Li-Zhi; Han, Deren; Yang, Hai 199 2002 The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent. Zbl 1332.90193 Chen, Caihua; He, Bingsheng; Ye, Yinyu; Yuan, Xiaoming 197 2016 A class of projection and contraction methods for monotone variational inequalities. Zbl 0865.90119 He, Bingsheng 174 1997 Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152 He, Bingsheng; Tao, Min; Yuan, Xiaoming 155 2012 Convergence analysis of primal-dual algorithms for a saddle-point problem: from contraction perspective. Zbl 1250.90066 He, Bingsheng; Yuan, Xiaoming 144 2012 Improvements of some projection methods for monotone nonlinear variational inequalities. Zbl 1025.65036 He, B. S.; Liao, L. Z. 125 2002 Inexact implicit methods for monotone general variational inequalities. Zbl 0979.49006 He, Bingsheng 110 1999 On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers. Zbl 1320.90060 He, Bingsheng; Yuan, Xiaoming 91 2015 Alternating direction method with self-adaptive penalty parameters for monotone variational inequalities. Zbl 0997.49008 He, B. S.; Yang, H.; Wang, S. L. 89 2000 An approximate proximal-extragradient type method for monotone variational inequalities. Zbl 1068.65087 He, Bing-sheng; Yang, Zhen-hua; Yuan, Xiao-ming 81 2004 A new method for a class of linear variational inequalities. Zbl 0813.49009 He, Bingsheng 72 1994 A strictly contractive Peaceman-Rachford splitting method for convex programming. Zbl 1327.90210 He, Bingsheng; Liu, Han; Wang, Zhaoran; Yuan, Xiaoming 69 2014 On the \(O(1/t)\) convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators. Zbl 1304.90203 Cai, Xingju; Gu, Guoyong; He, Bingsheng 65 2014 Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities. Zbl 0963.49006 He, Bingsheng; Yang, Hai 63 1998 On full Jacobian decomposition of the augmented Lagrangian method for separable convex programming. Zbl 1327.90209 He, Bingsheng; Hou, Liusheng; Yuan, Xiaoming 61 2015 Matrix completion via an alternating direction method. Zbl 1236.65043 Chen, Caihua; He, Bingsheng; Yuan, Xiaoming 57 2012 Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Zbl 1183.65080 He, Bing-Sheng 54 2009 A splitting method for separable convex programming. Zbl 1310.65062 He, Bingsheng; Tao, Min; Yuan, Xiaoming 51 2015 Convergence study on the symmetric version of ADMM with larger step sizes. Zbl 1381.90066 He, Bingsheng; Ma, Feng; Yuan, Xiaoming 50 2016 A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming. Zbl 0767.90086 He, Bingsheng 45 1992 On the convergence of primal-dual hybrid gradient algorithm. Zbl 1308.90129 He, Bingsheng; You, Yanfei; Yuan, Xiaoming 44 2014 Generalized alternating direction method of multipliers: new theoretical insights and applications. Zbl 1353.90110 Fang, Ethan X.; He, Bingsheng; Liu, Han; Yuan, Xiaoming 40 2015 A new accuracy criterion for approximate proximal point algorithms. Zbl 0995.65062 Han, Deren; He, Bingsheng 39 2001 Solving a class of linear projection equations. Zbl 0822.65040 He, Bingsheng 39 1994 Modified Goldstein–Levitin–Polyak projection method for asymmetric strongly monotone variational inequalities. Zbl 0998.65066 He, B. S.; Yang, H.; Meng, Q.; Han, D. R. 38 2002 Solving large-scale least squares semidefinite programming by alternating direction methods. Zbl 1243.49039 He, Bingsheng; Xu, Minghua; Yuan, Xiaoming 37 2011 Comparison of two kinds of prediction-correction methods for monotone variational inequalities. Zbl 1061.90111 He, Bingsheng; Yuan, Xiaoming; Zhang, Jason J. Z. 37 2004 On the convergence rate of Douglas-Rachford operator splitting method. Zbl 1327.90211 He, Bingsheng; Yuan, Xiaoming 34 2015 On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. Zbl 1371.65052 He, Bingsheng; Xu, Hong-Kun; Yuan, Xiaoming 34 2016 Customized proximal point algorithms for linearly constrained convex minimization and saddle-point problems: a unified approach. Zbl 1303.90080 Gu, Guoyong; He, Bingsheng; Yuan, Xiaoming 33 2014 An alternating direction-based contraction method for linearly constrained separable convex programming problems. Zbl 1273.90122 He, Bingsheng; Tao, Min; Xu, Minghua; Yuan, Xiaoming 29 2013 A customized proximal point algorithm for convex minimization with linear constraints. Zbl 1287.90048 He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing 29 2013 Solving a class of constrained ‘black-box’ inverse variational inequalities. Zbl 1181.91148 He, Bingsheng; He, Xiao-Zheng; Liu, Henry X. 27 2010 A proximal point algorithm revisit on the alternating direction method of multipliers. Zbl 1292.65062 Cai, XingJu; Gu, GuoYong; He, BingSheng; Yuan, XiaoMing 27 2013 Self-adaptive operator splitting methods for monotone variational inequalities. Zbl 1033.65047 He, Bingsheng; Liao, Li-Zhi; Wang, Shengli 25 2003 Convergence rate analysis for the alternating direction method of multipliers with a substitution procedure for separable convex programming. Zbl 1371.90103 He, Bingsheng; Tao, Min; Yuan, Xiaoming 25 2017 A modified projection and contraction method for a class of linear complementarity problems. Zbl 0854.65047 He, B. S. 24 1996 Method of successive weighted averages (MSWA) and self-regulated averaging schemes for solving stochastic user equilibrium problem. Zbl 1178.90066 Liu, Henry X.; He, Xiaozheng; He, Bingsheng 23 2009 An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054 He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming 22 2006 A logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities. Zbl 1121.90119 He, Bing-Sheng; Xu, Ya; Yuan, Xiao-Ming 21 2006 Self-adaptive projection method for co-coercive variational inequalities. Zbl 1163.58305 He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.; Wu, Ting 21 2009 Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111 He, Bingsheng; Ma, Feng; Yuan, Xiaoming 20 2020 Alternating projection based prediction-correction methods for structured variational inequalities. Zbl 1133.65041 He, Bing-sheng; Liao, Li-zhi; Qian, Mai-jian 19 2006 An algorithmic framework of generalized primal-dual hybrid gradient methods for saddle point problems. Zbl 1387.90186 He, Bingsheng; Ma, Feng; Yuan, Xiaoming 19 2017 Block-wise alternating direction method of multipliers for multiple-block convex programming and beyond. Zbl 1418.90193 He, Bingsheng; Yuan, Xiaoming 19 2015 Proximal-point algorithm using a linear proximal term. Zbl 1170.49008 He, B. S.; Fu, X. L.; Jiang, Z. K. 18 2009 A general framework of contraction methods for monotone variational inequalities. Zbl 1190.90120 He, Bingsheng; Xu, Ming-Hua 18 2008 PPA-like contraction methods for convex optimization: a framework using variational inequality approach. Zbl 1332.65084 He, Bing-Sheng 17 2015 Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming. Zbl 1264.90139 He, Bingsheng; Yuan, Xiaoming 17 2013 Optimal proximal augmented Lagrangian method and its application to full Jacobian splitting for multi-block separable convex minimization problems. Zbl 1462.65066 He, Bingsheng; Ma, Feng; Yuan, Xiaoming 17 2020 A modified alternating direction method for convex minimization problems. Zbl 0988.90020 He, Bingsheng; Zhou, Jing 15 2000 A modified augmented Lagrangian method for a class of monotone variational inequalities. Zbl 1067.90152 He, Bing-sheng; Yang, Hai; Zhang, Chen-song 15 2004 Solution of projection problems over polytopes. Zbl 0758.65046 He, Bingsheng; Stoer, Josef 14 1992 A new approximate proximal point algorithm for maximal monotone operator. Zbl 1217.65102 He, Bingsheng; Liao, Lizhi; Yang, Zhenhua 13 2003 A class of ADMM-based algorithms for three-block separable convex programming. Zbl 1393.90085 He, Bingsheng; Yuan, Xiaoming 13 2018 A Goldstein’s type projection method for a class of variant variational inequalities. Zbl 0936.65078 He, Bingsheng 12 1999 A modified variable-penalty alternating directions method for monotone variational inequalities. Zbl 1053.65047 He, Bingsheng; Wang, Shengli; Yang, Hai 12 2003 Inexact implicit method with variable parameter for mixed monotone variational inequalities. Zbl 1025.49007 Wang, S. L.; Yang, H.; He, B. S. 11 2001 A hybrid inexact logarithmic-quadratic proximal method for nonlinear complementarity problems. Zbl 1104.90049 Xu, Ya; He, Bingsheng; Yuan, Xiaoming 10 2006 A relaxed approximate proximal point algorithm. Zbl 1119.90063 Yang, Zhenhua; He, Bingsheng 10 2005 An accelerated inexact proximal point algorithm for convex minimization. Zbl 1256.90033 He, Bingsheng; Yuan, Xiaoming 10 2012 Block-wise ADMM with a relaxation factor for multiple-block convex programming. Zbl 1424.90204 He, Bing-Sheng; Xu, Ming-Hua; Yuan, Xiao-Ming 10 2018 A unified framework of some proximal-based decomposition methods for monotone variational inequalities with separable structures. Zbl 1286.90149 He, Bingsheng; Yuan, Xiaoming 7 2012 Proximal-like contraction methods for monotone variational inequalities in a unified framework. I: Effective quadruplet and primary methods. Zbl 1268.90100 He, Bingsheng; Liao, Li-Zhi; Wang, Xiang 6 2012 Proximal-like contraction methods for monotone variational inequalities in a unified framework. II: General methods and numerical experiments. Zbl 1268.90101 He, Bingsheng; Liao, Li-Zhi; Wang, Xiang 6 2012 My 20 years research on alternating directions method of multipliers. Zbl 1413.90201 He, Bingsheng 6 2018 Decomposition method for a class of monotone variational inequality problems. Zbl 0953.65049 He, B. S.; Liao, L. Z.; Yang, H. 5 1999 Solution and applications of a class of general linear variational inequalities. Zbl 0851.49010 He, Bingsheng 5 1996 Solving a class of asymmetric variational inequalities by a new alternating direction method. Zbl 0959.49009 Wang, Shengli; Yang, Hai; He, Bingsheng 5 2000 A predict-correct projection method for monotone variant variational inequalities. Zbl 0997.49009 Han, Qiaoming; He, Bingsheng 5 1998 Inexact alternating-direction-based contraction methods for separable linearly constrained convex optimization. Zbl 1322.90065 Gu, Guoyong; He, Bingsheng; Yang, Junfeng 5 2014 A proximal alternating direction method for \(\ell_{2,1}\)-norm least squares problem in multi-task feature learning. Zbl 1364.90320 Xiao, Yunhai; Wu, Soon-Yi; He, Bing-Sheng 5 2012 Application of the strictly contractive Peaceman-Rachford splitting method to multi-block separable convex programming. Zbl 1372.65172 He, Bingsheng; Liu, Han; Lu, Juwei; Yuan, Xiaoming 5 2016 On the convergence rate of customized proximal point algorithm for convex optimization and saddle-point problem. Zbl 1488.90137 He, Bingsheng; Shen, Yuan 5 2012 Lagrangian-PPA based contraction methods for linearly constrained convex optimization. Zbl 1310.90086 You, Yanfei; Fu, Xiaoling; He, Bingsheng 5 2014 Self-adaptive projection-based prediction-correction method for constrained variational inequalities. Zbl 1186.65083 Fu, Xiaoling; He, Bingsheng 4 2010 A class of implicit methods for monotone variational inequalities. Zbl 0922.65052 He, Bingsheng 4 1998 On a class of iterative projection and contraction methods for linear programming. Zbl 0792.90042 He, B. S. 4 1993 Solving a class of matrix minimization problems by linear variational inequality approaches. Zbl 1213.65089 Tao, Min; Yuan, Xiao-Ming; He, Bing-sheng 3 2011 A saddle point algorithm for linear programming. Zbl 0692.90066 He, Bingsheng 3 1989 Solving trust region problem in large scale optimization. Zbl 0951.65055 He, Bingsheng 3 2000 Further developments in an iterative projection and contraction method for linear programming. Zbl 0795.65032 He, Bingsheng 3 1993 Solving over-production and supply-guarantee problems in economic equilibria. Zbl 1213.91119 He, Bing-sheng; Xu, Wei; Yang, Hai; Yuan, Xiao-Ming 3 2011 Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. Zbl 1292.65065 Shen, Yuan; Zhang, Wenxing; He, Bingsheng 3 2014 On convergence of the Arrow-Hurwicz method for saddle point problems. Zbl 07630564 He, Bingsheng; Xu, Shengjie; Yuan, Xiaoming 3 2022 An inexact logarithmic-quadratic proximal augmented Lagrangian method for a class of constrained variational inequalities. Zbl 1138.90019 Li, M.; Shao, H.; He, B. S. 2 2007 A comparison of different contraction methods for monotone variational inequalities. Zbl 1212.65259 He, Bingsheng; Wang, Xiang; Yang, Junfeng 2 2009 Relations of the merit functions methods and the projection-contraction methods for variational inequalities. Zbl 1089.49007 He, Bingsheng; He, Xiaozheng 2 2003 On the convergence properties of alternating direction method of multipliers. Zbl 1389.90255 He, Bingsheng 2 2017 A generalized primal-dual algorithm with improved convergence condition for saddle point problems. Zbl 1494.94009 He, Bingsheng; Ma, Feng; Xu, Shengjie; Yuan, Xiaoming 2 2022 Study on the splitting methods for separable convex optimization in a unified algorithmic framework. Zbl 1474.90331 He, Bingsheng 2 2020 Addition theorem. Zbl 1137.78008 He, B.; Chew, W. C. 1 2008 A class of projection and contraction methods for asymmetric linear variational inequalities and their relations to Fukushima’s descent method. Zbl 0974.49008 Cui, Yingchuan; He, Bingsheng 1 1999 Steplengths in the extragradient type methods. Zbl 1190.65106 Wang, Xiang; He, Bingsheng; Liao, Li-Zhi 1 2010 PPA based prediction-correction methods for monotone variational inequalities. Zbl 1096.65061 He, Bingshen; Jiang, Jianlin; Qian, Maijian; Xu, Ya 1 2005 A uniform framework of a class of prediction-correction methods for monotone variational inequalities. Zbl 1046.49003 He, Bingsheng 1 2003 An improved contraction method for structured monotone variational inequalities. Zbl 1157.65403 He, B. S.; Li, M.; Liao, L.-Z. 1 2008 A confidence interval test for testing Poisson model against zero-inflated Poisson model. Zbl 1059.62016 He, B.; Gupta, P. L.; Xie, M.; Goh, T. N. 1 2003 A globally linearly convergent saddle point algorithm for linear programming. Zbl 0736.65040 He, Bingsheng 1 1991 On convergence of the Arrow-Hurwicz method for saddle point problems. Zbl 07630564 He, Bingsheng; Xu, Shengjie; Yuan, Xiaoming 3 2022 A generalized primal-dual algorithm with improved convergence condition for saddle point problems. Zbl 1494.94009 He, Bingsheng; Ma, Feng; Xu, Shengjie; Yuan, Xiaoming 2 2022 On the optimal proximal parameter of an ADMM-like splitting method for separable convex programming. Zbl 07468060 He, Bingsheng; Yuan, Xiaoming 1 2021 Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111 He, Bingsheng; Ma, Feng; Yuan, Xiaoming 20 2020 Optimal proximal augmented Lagrangian method and its application to full Jacobian splitting for multi-block separable convex minimization problems. Zbl 1462.65066 He, Bingsheng; Ma, Feng; Yuan, Xiaoming 17 2020 Study on the splitting methods for separable convex optimization in a unified algorithmic framework. Zbl 1474.90331 He, Bingsheng 2 2020 A class of ADMM-based algorithms for three-block separable convex programming. Zbl 1393.90085 He, Bingsheng; Yuan, Xiaoming 13 2018 Block-wise ADMM with a relaxation factor for multiple-block convex programming. Zbl 1424.90204 He, Bing-Sheng; Xu, Ming-Hua; Yuan, Xiao-Ming 10 2018 My 20 years research on alternating directions method of multipliers. Zbl 1413.90201 He, Bingsheng 6 2018 Convergence rate analysis for the alternating direction method of multipliers with a substitution procedure for separable convex programming. Zbl 1371.90103 He, Bingsheng; Tao, Min; Yuan, Xiaoming 25 2017 An algorithmic framework of generalized primal-dual hybrid gradient methods for saddle point problems. Zbl 1387.90186 He, Bingsheng; Ma, Feng; Yuan, Xiaoming 19 2017 On the convergence properties of alternating direction method of multipliers. Zbl 1389.90255 He, Bingsheng 2 2017 On the iteration complexity of some projection methods for monotone linear variational inequalities. Zbl 1362.90350 Chen, Caihua; Fu, Xiaoling; He, Bingsheng; Yuan, Xiaoming 1 2017 The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent. Zbl 1332.90193 Chen, Caihua; He, Bingsheng; Ye, Yinyu; Yuan, Xiaoming 197 2016 Convergence study on the symmetric version of ADMM with larger step sizes. Zbl 1381.90066 He, Bingsheng; Ma, Feng; Yuan, Xiaoming 50 2016 On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. Zbl 1371.65052 He, Bingsheng; Xu, Hong-Kun; Yuan, Xiaoming 34 2016 Application of the strictly contractive Peaceman-Rachford splitting method to multi-block separable convex programming. Zbl 1372.65172 He, Bingsheng; Liu, Han; Lu, Juwei; Yuan, Xiaoming 5 2016 Alternating direction method of multipliers for linear programming. Zbl 1365.90200 He, Bing-Sheng; Yuan, Xiao-Ming 1 2016 From the projection and contraction methods for variational inequalities to the splitting contraction methods for convex optimization. Zbl 1363.90185 He, Bingsheng 1 2016 On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers. Zbl 1320.90060 He, Bingsheng; Yuan, Xiaoming 91 2015 On full Jacobian decomposition of the augmented Lagrangian method for separable convex programming. Zbl 1327.90209 He, Bingsheng; Hou, Liusheng; Yuan, Xiaoming 61 2015 A splitting method for separable convex programming. Zbl 1310.65062 He, Bingsheng; Tao, Min; Yuan, Xiaoming 51 2015 Generalized alternating direction method of multipliers: new theoretical insights and applications. Zbl 1353.90110 Fang, Ethan X.; He, Bingsheng; Liu, Han; Yuan, Xiaoming 40 2015 On the convergence rate of Douglas-Rachford operator splitting method. Zbl 1327.90211 He, Bingsheng; Yuan, Xiaoming 34 2015 Block-wise alternating direction method of multipliers for multiple-block convex programming and beyond. Zbl 1418.90193 He, Bingsheng; Yuan, Xiaoming 19 2015 PPA-like contraction methods for convex optimization: a framework using variational inequality approach. Zbl 1332.65084 He, Bing-Sheng 17 2015 Modified alternating directions method of multipliers for convex optimization with three separable functions. Zbl 1349.90679 He, Bingsheng 1 2015 A strictly contractive Peaceman-Rachford splitting method for convex programming. Zbl 1327.90210 He, Bingsheng; Liu, Han; Wang, Zhaoran; Yuan, Xiaoming 69 2014 On the \(O(1/t)\) convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators. Zbl 1304.90203 Cai, Xingju; Gu, Guoyong; He, Bingsheng 65 2014 On the convergence of primal-dual hybrid gradient algorithm. Zbl 1308.90129 He, Bingsheng; You, Yanfei; Yuan, Xiaoming 44 2014 Customized proximal point algorithms for linearly constrained convex minimization and saddle-point problems: a unified approach. Zbl 1303.90080 Gu, Guoyong; He, Bingsheng; Yuan, Xiaoming 33 2014 Inexact alternating-direction-based contraction methods for separable linearly constrained convex optimization. Zbl 1322.90065 Gu, Guoyong; He, Bingsheng; Yang, Junfeng 5 2014 Lagrangian-PPA based contraction methods for linearly constrained convex optimization. Zbl 1310.90086 You, Yanfei; Fu, Xiaoling; He, Bingsheng 5 2014 Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. Zbl 1292.65065 Shen, Yuan; Zhang, Wenxing; He, Bingsheng 3 2014 An alternating direction-based contraction method for linearly constrained separable convex programming problems. Zbl 1273.90122 He, Bingsheng; Tao, Min; Xu, Minghua; Yuan, Xiaoming 29 2013 A customized proximal point algorithm for convex minimization with linear constraints. Zbl 1287.90048 He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing 29 2013 A proximal point algorithm revisit on the alternating direction method of multipliers. Zbl 1292.65062 Cai, XingJu; Gu, GuoYong; He, BingSheng; Yuan, XiaoMing 27 2013 Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming. Zbl 1264.90139 He, Bingsheng; Yuan, Xiaoming 17 2013 Forward-backward-based descent methods for composite variational inequalities. Zbl 1282.90196 He, Bingsheng; Yuan, Xiaoming 1 2013 On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084 He, Bingsheng; Yuan, Xiaoming 298 2012 Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152 He, Bingsheng; Tao, Min; Yuan, Xiaoming 155 2012 Convergence analysis of primal-dual algorithms for a saddle-point problem: from contraction perspective. Zbl 1250.90066 He, Bingsheng; Yuan, Xiaoming 144 2012 Matrix completion via an alternating direction method. Zbl 1236.65043 Chen, Caihua; He, Bingsheng; Yuan, Xiaoming 57 2012 An accelerated inexact proximal point algorithm for convex minimization. Zbl 1256.90033 He, Bingsheng; Yuan, Xiaoming 10 2012 A unified framework of some proximal-based decomposition methods for monotone variational inequalities with separable structures. Zbl 1286.90149 He, Bingsheng; Yuan, Xiaoming 7 2012 Proximal-like contraction methods for monotone variational inequalities in a unified framework. I: Effective quadruplet and primary methods. Zbl 1268.90100 He, Bingsheng; Liao, Li-Zhi; Wang, Xiang 6 2012 Proximal-like contraction methods for monotone variational inequalities in a unified framework. II: General methods and numerical experiments. Zbl 1268.90101 He, Bingsheng; Liao, Li-Zhi; Wang, Xiang 6 2012 A proximal alternating direction method for \(\ell_{2,1}\)-norm least squares problem in multi-task feature learning. Zbl 1364.90320 Xiao, Yunhai; Wu, Soon-Yi; He, Bing-Sheng 5 2012 On the convergence rate of customized proximal point algorithm for convex optimization and saddle-point problem. Zbl 1488.90137 He, Bingsheng; Shen, Yuan 5 2012 Solving large-scale least squares semidefinite programming by alternating direction methods. Zbl 1243.49039 He, Bingsheng; Xu, Minghua; Yuan, Xiaoming 37 2011 Solving a class of matrix minimization problems by linear variational inequality approaches. Zbl 1213.65089 Tao, Min; Yuan, Xiao-Ming; He, Bing-sheng 3 2011 Solving over-production and supply-guarantee problems in economic equilibria. Zbl 1213.91119 He, Bing-sheng; Xu, Wei; Yang, Hai; Yuan, Xiao-Ming 3 2011 Solving a class of constrained ‘black-box’ inverse variational inequalities. Zbl 1181.91148 He, Bingsheng; He, Xiao-Zheng; Liu, Henry X. 27 2010 Self-adaptive projection-based prediction-correction method for constrained variational inequalities. Zbl 1186.65083 Fu, Xiaoling; He, Bingsheng 4 2010 Steplengths in the extragradient type methods. Zbl 1190.65106 Wang, Xiang; He, Bingsheng; Liao, Li-Zhi 1 2010 Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Zbl 1183.65080 He, Bing-Sheng 54 2009 Method of successive weighted averages (MSWA) and self-regulated averaging schemes for solving stochastic user equilibrium problem. Zbl 1178.90066 Liu, Henry X.; He, Xiaozheng; He, Bingsheng 23 2009 Self-adaptive projection method for co-coercive variational inequalities. Zbl 1163.58305 He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.; Wu, Ting 21 2009 Proximal-point algorithm using a linear proximal term. Zbl 1170.49008 He, B. S.; Fu, X. L.; Jiang, Z. K. 18 2009 A comparison of different contraction methods for monotone variational inequalities. Zbl 1212.65259 He, Bingsheng; Wang, Xiang; Yang, Junfeng 2 2009 A general framework of contraction methods for monotone variational inequalities. Zbl 1190.90120 He, Bingsheng; Xu, Ming-Hua 18 2008 Addition theorem. Zbl 1137.78008 He, B.; Chew, W. C. 1 2008 An improved contraction method for structured monotone variational inequalities. Zbl 1157.65403 He, B. S.; Li, M.; Liao, L.-Z. 1 2008 An inexact logarithmic-quadratic proximal augmented Lagrangian method for a class of constrained variational inequalities. Zbl 1138.90019 Li, M.; Shao, H.; He, B. S. 2 2007 An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054 He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming 22 2006 A logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities. Zbl 1121.90119 He, Bing-Sheng; Xu, Ya; Yuan, Xiao-Ming 21 2006 Alternating projection based prediction-correction methods for structured variational inequalities. Zbl 1133.65041 He, Bing-sheng; Liao, Li-zhi; Qian, Mai-jian 19 2006 A hybrid inexact logarithmic-quadratic proximal method for nonlinear complementarity problems. Zbl 1104.90049 Xu, Ya; He, Bingsheng; Yuan, Xiaoming 10 2006 A relaxed approximate proximal point algorithm. Zbl 1119.90063 Yang, Zhenhua; He, Bingsheng 10 2005 PPA based prediction-correction methods for monotone variational inequalities. Zbl 1096.65061 He, Bingshen; Jiang, Jianlin; Qian, Maijian; Xu, Ya 1 2005 An approximate proximal-extragradient type method for monotone variational inequalities. Zbl 1068.65087 He, Bing-sheng; Yang, Zhen-hua; Yuan, Xiao-ming 81 2004 Comparison of two kinds of prediction-correction methods for monotone variational inequalities. Zbl 1061.90111 He, Bingsheng; Yuan, Xiaoming; Zhang, Jason J. Z. 37 2004 A modified augmented Lagrangian method for a class of monotone variational inequalities. Zbl 1067.90152 He, Bing-sheng; Yang, Hai; Zhang, Chen-song 15 2004 Self-adaptive operator splitting methods for monotone variational inequalities. Zbl 1033.65047 He, Bingsheng; Liao, Li-Zhi; Wang, Shengli 25 2003 A new approximate proximal point algorithm for maximal monotone operator. Zbl 1217.65102 He, Bingsheng; Liao, Lizhi; Yang, Zhenhua 13 2003 A modified variable-penalty alternating directions method for monotone variational inequalities. Zbl 1053.65047 He, Bingsheng; Wang, Shengli; Yang, Hai 12 2003 Relations of the merit functions methods and the projection-contraction methods for variational inequalities. Zbl 1089.49007 He, Bingsheng; He, Xiaozheng 2 2003 A uniform framework of a class of prediction-correction methods for monotone variational inequalities. Zbl 1046.49003 He, Bingsheng 1 2003 A confidence interval test for testing Poisson model against zero-inflated Poisson model. Zbl 1059.62016 He, B.; Gupta, P. L.; Xie, M.; Goh, T. N. 1 2003 A new inexact alternating directions method for monotone variational inequalities. Zbl 1009.90108 He, Bingsheng; Liao, Li-Zhi; Han, Deren; Yang, Hai 199 2002 Improvements of some projection methods for monotone nonlinear variational inequalities. Zbl 1025.65036 He, B. S.; Liao, L. Z. 125 2002 Modified Goldstein–Levitin–Polyak projection method for asymmetric strongly monotone variational inequalities. Zbl 0998.65066 He, B. S.; Yang, H.; Meng, Q.; Han, D. R. 38 2002 A new accuracy criterion for approximate proximal point algorithms. Zbl 0995.65062 Han, Deren; He, Bingsheng 39 2001 Inexact implicit method with variable parameter for mixed monotone variational inequalities. Zbl 1025.49007 Wang, S. L.; Yang, H.; He, B. S. 11 2001 Alternating direction method with self-adaptive penalty parameters for monotone variational inequalities. Zbl 0997.49008 He, B. S.; Yang, H.; Wang, S. L. 89 2000 A modified alternating direction method for convex minimization problems. Zbl 0988.90020 He, Bingsheng; Zhou, Jing 15 2000 Solving a class of asymmetric variational inequalities by a new alternating direction method. Zbl 0959.49009 Wang, Shengli; Yang, Hai; He, Bingsheng 5 2000 Solving trust region problem in large scale optimization. Zbl 0951.65055 He, Bingsheng 3 2000 Inexact implicit methods for monotone general variational inequalities. Zbl 0979.49006 He, Bingsheng 110 1999 A Goldstein’s type projection method for a class of variant variational inequalities. Zbl 0936.65078 He, Bingsheng 12 1999 Decomposition method for a class of monotone variational inequality problems. Zbl 0953.65049 He, B. S.; Liao, L. Z.; Yang, H. 5 1999 A class of projection and contraction methods for asymmetric linear variational inequalities and their relations to Fukushima’s descent method. Zbl 0974.49008 Cui, Yingchuan; He, Bingsheng 1 1999 Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities. Zbl 0963.49006 He, Bingsheng; Yang, Hai 63 1998 A predict-correct projection method for monotone variant variational inequalities. Zbl 0997.49009 Han, Qiaoming; He, Bingsheng 5 1998 A class of implicit methods for monotone variational inequalities. Zbl 0922.65052 He, Bingsheng 4 1998 A class of projection and contraction methods for monotone variational inequalities. Zbl 0865.90119 He, Bingsheng 174 1997 Method of approximate centers for semi-definite programming. Zbl 0879.90142 He, B.; De Klerk, E.; Roos, C.; Terlaky, T. 1 1997 A modified projection and contraction method for a class of linear complementarity problems. Zbl 0854.65047 He, B. S. 24 1996 Solution and applications of a class of general linear variational inequalities. Zbl 0851.49010 He, Bingsheng 5 1996 A new method for a class of linear variational inequalities. Zbl 0813.49009 He, Bingsheng 72 1994 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,836 Authors 83 Yuan, Xiaoming 71 Han, Deren 61 He, Bingsheng 56 Bnouhachem, Abdellah 56 Noor, Muhammad Aslam 37 Li, Min 34 Cai, Xingju 26 Dong, Qiaoli 25 Yao, Jen-Chih 23 Dương Việt Thông 23 He, Hongjin 23 Shehu, Yekini 18 Sun, Min 18 Zhang, Wenxing 17 Huang, Ting-Zhu 17 Ma, Feng 17 Yao, Yonghong 16 Liao, Li-Zhi 16 Liu, Sanyang 14 Bai, Jianchao 14 Liou, Yeongcheng 14 Ma, Shiqian 14 Shen, Yuan 14 Wu, Zhongming 13 Chang, Xiaokai 13 Cho, Yeol Je 13 He, Songnian 13 Rassias, Themistocles Michael 13 Tao, Min 13 Xiu, Naihua 12 Ceng, Lu-Chuan 12 Fang, Yaping 12 Jian, Jinbao 12 Sun, Defeng 12 Tan, Bing 12 Toh, Kim Chuan 12 Tran Dinh Quoc 12 Wang, Yiju 12 Yang, Junfeng 11 Chen, Anthony 11 Hu, Rong 11 Peng, Zheng 11 Tang, Yuchao 11 Wang, Kai 11 Xiao, Yunhai 11 Yang, Hai 11 Zhang, Shuzhong 10 Dang Van Hieu 10 Fu, Xiaoling 10 Iyiola, Olaniyi Samuel 10 Jiang, Jianlin 10 Qin, Xiaolong 10 Xu, Hong-Kun 10 Yang, Qingzhi 10 Zhang, Hongchao 10 Zhang, Shougui 10 Zhao, Xile 9 Chen, Caihua 9 Gibali, Aviv 9 Huang, Nan-Jing 9 Jiang, Fan 9 Khalfaoui, Mohamed 9 Yin, Wotao 8 Jolaoso, Lateef Olakunle O. 8 Li, Jicheng 8 Li, Xinxin 8 Liu, Jing 8 Ng, Michael Kwok-Po 8 Song, Haiming 8 Valkonen, Tuomo 8 Verma, Ram U. 8 Wang, Xiangfeng 8 Xu, Lingling 8 Zhang, Su 7 Ansari, Qamrul Hasan 7 Dong, Yunda 7 Gonçalves, Max L. N. 7 Gu, GuoYong 7 Guo, Ke 7 Jia, ZeHui 7 Liu, Pengjie 7 Ma, Tian-Hui 7 Mewomo, Oluwatosin Temitope 7 Ni, Mingfang 7 Pang, Zhifeng 7 Pock, Thomas 7 Sun, Wenyu 7 Wen, Zaiwen 7 Xu, Yangyang 7 Ye, Yinyu 7 Zhaohan, Sheng 6 Boyd, Stephen Poythress 6 Chen, Jiawei 6 Cholamjiak, Prasit 6 Deng, Zhao 6 Gu, Yan 6 He, Xiaozheng 6 Izuchukwu, Chinedu 6 Lan, Guanghui 6 Li, Xiaolin ...and 1,736 more Authors all top 5 Cited in 201 Serials 76 Journal of Optimization Theory and Applications 71 Computational Optimization and Applications 65 Applied Mathematics and Computation 63 Optimization 51 Journal of Computational and Applied Mathematics 50 Journal of Inequalities and Applications 46 Journal of Scientific Computing 43 Journal of Global Optimization 43 SIAM Journal on Optimization 40 Numerical Algorithms 35 Journal of Industrial and Management Optimization 33 Computers & Mathematics with Applications 33 Mathematical Programming. Series A. 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Series A: Theory and Methods 6 SIAM Journal on Numerical Analysis 6 East Asian Journal on Applied Mathematics 5 Automatica 5 Acta Applicandae Mathematicae 5 Computers & Operations Research 5 Journal of Inverse and Ill-Posed Problems 5 Journal of Nonlinear Science and Applications 4 International Journal of Modern Physics B 4 Applied Mathematics and Optimization 4 Mathematics of Operations Research 4 Multidimensional Systems and Signal Processing 4 Machine Learning 4 Computational Statistics and Data Analysis 4 International Journal of Computer Vision 4 Engineering Analysis with Boundary Elements 4 INFORMS Journal on Computing 4 Communications in Nonlinear Science and Numerical Simulation 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Advances in Operations Research 4 Journal of Computational and Graphical Statistics 4 Journal of Function Spaces 3 Journal of the American Statistical Association 3 Systems & Control Letters 3 Neural Networks 3 Annals of Operations Research 3 Applied Mathematics. Series B (English Edition) 3 Discrete Dynamics in Nature and Society 3 Acta Mathematica Sinica. English Series 3 Nonlinear Functional Analysis and Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. 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English Series ...and 101 more Serials all top 5 Cited in 41 Fields 994 Operations research, mathematical programming (90-XX) 702 Numerical analysis (65-XX) 433 Calculus of variations and optimal control; optimization (49-XX) 290 Operator theory (47-XX) 154 Information and communication theory, circuits (94-XX) 140 Computer science (68-XX) 66 Statistics (62-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 42 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Systems theory; control (93-XX) 24 Partial differential equations (35-XX) 21 Mechanics of deformable solids (74-XX) 20 Biology and other natural sciences (92-XX) 15 Global analysis, analysis on manifolds (58-XX) 9 Functional analysis (46-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Probability theory and stochastic processes (60-XX) 6 Ordinary differential equations (34-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 5 Fluid mechanics (76-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Quantum theory (81-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 2 Group theory and generalizations (20-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year