## He, Bingsheng

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 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: 128 Publications since 1986, including 1 Book 1 Contribution as Editor Co-Authors: 48 Co-Authors with 86 Joint Publications 1,750 Co-Co-Authors
all top 5

### Co-Authors

 35 single-authored 42 Yuan, Xiaoming 11 Liao, Li-Zhi 9 Yang, Hai 5 Ma, Feng 5 Tao, Min 4 Fu, Xiaoling 4 Gu, GuoYong 4 Han, Deren 4 He, Xiaozheng 4 Wang, Shengli 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 Xu, Shengjie 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 Wu, Soon-Yi 1 Wu, Ting 1 Xiao, Yunhai 1 Xie, Min 1 Xu, Hong-Kun 1 Xu, Wei 1 Yan, Jun 1 Ye, Yinyu 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 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 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 Journal of Scientific Computing 1 Annals of Operations Research 1 Chinese Science Bulletin 1 Journal of Mathematical Imaging and Vision 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

 103 Operations research, mathematical programming (90-XX) 68 Numerical analysis (65-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 8 Information and communication theory, circuits (94-XX) 6 Operator theory (47-XX) 4 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)

### Citations contained in zbMATH Open

104 Publications have been cited 2,900 times in 1,323 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
2012
A new inexact alternating directions method for monotone variational inequalities. Zbl 1009.90108
He, Bingsheng; Liao, Li-Zhi; Han, Deren; Yang, Hai
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
2016
A class of projection and contraction methods for monotone variational inequalities. Zbl 0865.90119
He, Bingsheng
1997
Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2012
Improvements of some projection methods for monotone nonlinear variational inequalities. Zbl 1025.65036
He, B. S.; Liao, L. Z.
2002
Convergence analysis of primal-dual algorithms for a saddle-point problem: from contraction perspective. Zbl 1250.90066
He, Bingsheng; Yuan, Xiaoming
2012
Inexact implicit methods for monotone general variational inequalities. Zbl 0979.49006
He, Bingsheng
1999
Alternating direction method with self-adaptive penalty parameters for monotone variational inequalities. Zbl 0997.49008
He, B. S.; Yang, H.; Wang, S. L.
2000
On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers. Zbl 1320.90060
He, Bingsheng; Yuan, Xiaoming
2015
An approximate proximal-extragradient type method for monotone variational inequalities. Zbl 1068.65087
He, Bing-sheng; Yang, Zhen-hua; Yuan, Xiao-ming
2004
A new method for a class of linear variational inequalities. Zbl 0813.49009
He, Bingsheng
1994
Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities. Zbl 0963.49006
He, Bingsheng; Yang, Hai
1998
A strictly contractive Peaceman-Rachford splitting method for convex programming. Zbl 1327.90210
He, Bingsheng; Liu, Han; Wang, Zhaoran; Yuan, Xiaoming
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
2014
Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Zbl 1183.65080
He, Bing-Sheng
2009
On full Jacobian decomposition of the augmented Lagrangian method for separable convex programming. Zbl 1327.90209
He, Bingsheng; Hou, Liusheng; Yuan, Xiaoming
2015
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
2012
A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming. Zbl 0767.90086
He, Bingsheng
1992
A splitting method for separable convex programming. Zbl 1310.65062
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2015
Convergence study on the symmetric version of ADMM with larger step sizes. Zbl 1381.90066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2016
A new accuracy criterion for approximate proximal point algorithms. Zbl 0995.65062
Han, Deren; He, Bingsheng
2001
Solving a class of linear projection equations. Zbl 0822.65040
He, Bingsheng
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.
2002
Comparison of two kinds of prediction-correction methods for monotone variational inequalities. Zbl 1061.90111
He, Bingsheng; Yuan, Xiaoming; Zhang, Jason J. Z.
2004
Solving large-scale least squares semidefinite programming by alternating direction methods. Zbl 1243.49039
He, Bingsheng; Xu, Minghua; Yuan, Xiaoming
2011
On the convergence of primal-dual hybrid gradient algorithm. Zbl 1308.90129
He, Bingsheng; You, Yanfei; Yuan, Xiaoming
2014
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
2016
Generalized alternating direction method of multipliers: new theoretical insights and applications. Zbl 1353.90110
Fang, Ethan X.; He, Bingsheng; Liu, Han; Yuan, Xiaoming
2015
On the convergence rate of Douglas-Rachford operator splitting method. Zbl 1327.90211
He, Bingsheng; Yuan, Xiaoming
2015
Solving a class of constrained ‘black-box’ inverse variational inequalities. Zbl 1181.91148
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.
2010
An alternating direction-based contraction method for linearly constrained separable convex programming problems. Zbl 1273.90122
He, Bingsheng; Tao, Min; Xu, Minghua; Yuan, Xiaoming
2013
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
2014
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
2017
Self-adaptive operator splitting methods for monotone variational inequalities. Zbl 1033.65047
He, Bingsheng; Liao, Li-Zhi; Wang, Shengli
2003
An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054
He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming
2006
A proximal point algorithm revisit on the alternating direction method of multipliers. Zbl 1292.65062
Cai, XingJu; Gu, GuoYong; He, BingSheng; Yuan, XiaoMing
2013
Self-adaptive projection method for co-coercive variational inequalities. Zbl 1163.58305
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.; Wu, Ting
2009
A logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities. Zbl 1121.90119
He, Bing-Sheng; Xu, Ya; Yuan, Xiao-Ming
2006
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
2009
A modified projection and contraction method for a class of linear complementarity problems. Zbl 0854.65047
He, B. S.
1996
A customized proximal point algorithm for convex minimization with linear constraints. Zbl 1287.90048
He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing
2013
Proximal-point algorithm using a linear proximal term. Zbl 1170.49008
He, B. S.; Fu, X. L.; Jiang, Z. K.
2009
A general framework of contraction methods for monotone variational inequalities. Zbl 1190.90120
He, Bingsheng; Xu, Ming-Hua
2008
A modified augmented Lagrangian method for a class of monotone variational inequalities. Zbl 1067.90152
He, Bing-sheng; Yang, Hai; Zhang, Chen-song
2004
A modified alternating direction method for convex minimization problems. Zbl 0988.90020
He, Bingsheng; Zhou, Jing
2000
PPA-like contraction methods for convex optimization: a framework using variational inequality approach. Zbl 1332.65084
He, Bing-Sheng
2015
Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming. Zbl 1264.90139
He, Bingsheng; Yuan, Xiaoming
2013
Alternating projection based prediction-correction methods for structured variational inequalities. Zbl 1133.65041
He, Bing-sheng; Liao, Li-zhi; Qian, Mai-jian
2006
Solution of projection problems over polytopes. Zbl 0758.65046
He, Bingsheng; Stoer, Josef
1992
A new approximate proximal point algorithm for maximal monotone operator. Zbl 1217.65102
He, Bingsheng; Liao, Lizhi; Yang, Zhenhua
2003
Block-wise alternating direction method of multipliers for multiple-block convex programming and beyond. Zbl 1418.90193
He, Bingsheng; Yuan, Xiaoming
2015
A Goldstein’s type projection method for a class of variant variational inequalities. Zbl 0936.65078
He, Bingsheng
1999
An algorithmic framework of generalized primal-dual hybrid gradient methods for saddle point problems. Zbl 1387.90186
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2017
Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2020
Inexact implicit method with variable parameter for mixed monotone variational inequalities. Zbl 1025.49007
Wang, S. L.; Yang, H.; He, B. S.
2001
A hybrid inexact logarithmic-quadratic proximal method for nonlinear complementarity problems. Zbl 1104.90049
Xu, Ya; He, Bingsheng; Yuan, Xiaoming
2006
A relaxed approximate proximal point algorithm. Zbl 1119.90063
Yang, Zhenhua; He, Bingsheng
2005
A modified variable-penalty alternating directions method for monotone variational inequalities. Zbl 1053.65047
He, Bingsheng; Wang, Shengli; Yang, Hai
2003
An accelerated inexact proximal point algorithm for convex minimization. Zbl 1256.90033
He, Bingsheng; Yuan, Xiaoming
2012
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
2020
A class of ADMM-based algorithms for three-block separable convex programming. Zbl 1393.90085
He, Bingsheng; Yuan, Xiaoming
2018
A unified framework of some proximal-based decomposition methods for monotone variational inequalities with separable structures. Zbl 1286.90149
He, Bingsheng; Yuan, Xiaoming
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
2018
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
2016
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
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
2012
Inexact alternating-direction-based contraction methods for separable linearly constrained convex optimization. Zbl 1322.90065
Gu, Guoyong; He, Bingsheng; Yang, Junfeng
2014
Solution and applications of a class of general linear variational inequalities. Zbl 0851.49010
He, Bingsheng
1996
Solving a class of asymmetric variational inequalities by a new alternating direction method. Zbl 0959.49009
Wang, Shengli; Yang, Hai; He, Bingsheng
2000
A predict-correct projection method for monotone variant variational inequalities. Zbl 0997.49009
Han, Qiaoming; He, Bingsheng
1998
Self-adaptive projection-based prediction-correction method for constrained variational inequalities. Zbl 1186.65083
Fu, Xiaoling; He, Bingsheng
2010
Decomposition method for a class of monotone variational inequality problems. Zbl 0953.65049
He, B. S.; Liao, L. Z.; Yang, H.
1999
On a class of iterative projection and contraction methods for linear programming. Zbl 0792.90042
He, B. S.
1993
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
2012
Lagrangian-PPA based contraction methods for linearly constrained convex optimization. Zbl 1310.90086
You, Yanfei; Fu, Xiaoling; He, Bingsheng
2014
Solving over-production and supply-guarantee problems in economic equilibria. Zbl 1213.91119
He, Bing-sheng; Xu, Wei; Yang, Hai; Yuan, Xiao-Ming
2011
A class of implicit methods for monotone variational inequalities. Zbl 0922.65052
He, Bingsheng
1998
Solving trust region problem in large scale optimization. Zbl 0951.65055
He, Bingsheng
2000
Further developments in an iterative projection and contraction method for linear programming. Zbl 0795.65032
He, Bingsheng
1993
A saddle point algorithm for linear programming. Zbl 0692.90066
He, Bingsheng
1989
My 20 years research on alternating directions method of multipliers. Zbl 1413.90201
He, Bingsheng
2018
Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. Zbl 1292.65065
Shen, Yuan; Zhang, Wenxing; He, Bingsheng
2014
A comparison of different contraction methods for monotone variational inequalities. Zbl 1212.65259
He, Bingsheng; Wang, Xiang; Yang, Junfeng
2009
Relations of the merit functions methods and the projection-contraction methods for variational inequalities. Zbl 1089.49007
He, Bingsheng; He, Xiaozheng
2003
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.
2007
Solving a class of matrix minimization problems by linear variational inequality approaches. Zbl 1213.65089
Tao, Min; Yuan, Xiao-Ming; He, Bing-sheng
2011
Study on the splitting methods for separable convex optimization in a unified algorithmic framework. Zbl 1474.90331
He, Bingsheng
2020
Steplengths in the extragradient type methods. Zbl 1190.65106
Wang, Xiang; He, Bingsheng; Liao, Li-Zhi
2010
A uniform framework of a class of prediction-correction methods for monotone variational inequalities. Zbl 1046.49003
He, Bingsheng
2003
Modified alternating directions method of multipliers for convex optimization with three separable functions. Zbl 1349.90679
He, Bingsheng
2015
Method of approximate centers for semi-definite programming. Zbl 0879.90142
He, B.; De Klerk, E.; Roos, C.; Terlaky, T.
1997
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
1999
New contraction methods for linear inequalities. Zbl 0807.65061
He, Bingsheng
1994
PPA based prediction-correction methods for monotone variational inequalities. Zbl 1096.65061
He, Bingshen; Jiang, Jianlin; Qian, Maijian; Xu, Ya
2005
On the iteration complexity of some projection methods for monotone linear variational inequalities. Zbl 1362.90350
Chen, Caihua; Fu, Xiaoling; He, Bingsheng; Yuan, Xiaoming
2017
Alternating direction method of multipliers for linear programming. Zbl 1365.90200
He, Bing-Sheng; Yuan, Xiao-Ming
2016
An improved contraction method for structured monotone variational inequalities. Zbl 1157.65403
He, B. S.; Li, M.; Liao, L.-Z.
2008
He, B.; Chew, W. C.
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.
2003
Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
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
2020
Study on the splitting methods for separable convex optimization in a unified algorithmic framework. Zbl 1474.90331
He, Bingsheng
2020
A class of ADMM-based algorithms for three-block separable convex programming. Zbl 1393.90085
He, Bingsheng; Yuan, Xiaoming
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
2018
My 20 years research on alternating directions method of multipliers. Zbl 1413.90201
He, Bingsheng
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
2017
An algorithmic framework of generalized primal-dual hybrid gradient methods for saddle point problems. Zbl 1387.90186
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
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
2017
On the convergence properties of alternating direction method of multipliers. Zbl 1389.90255
He, Bingsheng
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
2016
Convergence study on the symmetric version of ADMM with larger step sizes. Zbl 1381.90066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
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
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
2016
Alternating direction method of multipliers for linear programming. Zbl 1365.90200
He, Bing-Sheng; Yuan, Xiao-Ming
2016
On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers. Zbl 1320.90060
He, Bingsheng; Yuan, Xiaoming
2015
On full Jacobian decomposition of the augmented Lagrangian method for separable convex programming. Zbl 1327.90209
He, Bingsheng; Hou, Liusheng; Yuan, Xiaoming
2015
A splitting method for separable convex programming. Zbl 1310.65062
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2015
Generalized alternating direction method of multipliers: new theoretical insights and applications. Zbl 1353.90110
Fang, Ethan X.; He, Bingsheng; Liu, Han; Yuan, Xiaoming
2015
On the convergence rate of Douglas-Rachford operator splitting method. Zbl 1327.90211
He, Bingsheng; Yuan, Xiaoming
2015
PPA-like contraction methods for convex optimization: a framework using variational inequality approach. Zbl 1332.65084
He, Bing-Sheng
2015
Block-wise alternating direction method of multipliers for multiple-block convex programming and beyond. Zbl 1418.90193
He, Bingsheng; Yuan, Xiaoming
2015
Modified alternating directions method of multipliers for convex optimization with three separable functions. Zbl 1349.90679
He, Bingsheng
2015
A strictly contractive Peaceman-Rachford splitting method for convex programming. Zbl 1327.90210
He, Bingsheng; Liu, Han; Wang, Zhaoran; Yuan, Xiaoming
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
2014
On the convergence of primal-dual hybrid gradient algorithm. Zbl 1308.90129
He, Bingsheng; You, Yanfei; Yuan, Xiaoming
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
2014
Inexact alternating-direction-based contraction methods for separable linearly constrained convex optimization. Zbl 1322.90065
Gu, Guoyong; He, Bingsheng; Yang, Junfeng
2014
Lagrangian-PPA based contraction methods for linearly constrained convex optimization. Zbl 1310.90086
You, Yanfei; Fu, Xiaoling; He, Bingsheng
2014
Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. Zbl 1292.65065
Shen, Yuan; Zhang, Wenxing; He, Bingsheng
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
2013
A proximal point algorithm revisit on the alternating direction method of multipliers. Zbl 1292.65062
Cai, XingJu; Gu, GuoYong; He, BingSheng; Yuan, XiaoMing
2013
A customized proximal point algorithm for convex minimization with linear constraints. Zbl 1287.90048
He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing
2013
Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming. Zbl 1264.90139
He, Bingsheng; Yuan, Xiaoming
2013
Forward-backward-based descent methods for composite variational inequalities. Zbl 1282.90196
He, Bingsheng; Yuan, Xiaoming
2013
On the $$O(1/n)$$ convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084
He, Bingsheng; Yuan, Xiaoming
2012
Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2012
Convergence analysis of primal-dual algorithms for a saddle-point problem: from contraction perspective. Zbl 1250.90066
He, Bingsheng; Yuan, Xiaoming
2012
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
2012
An accelerated inexact proximal point algorithm for convex minimization. Zbl 1256.90033
He, Bingsheng; Yuan, Xiaoming
2012
A unified framework of some proximal-based decomposition methods for monotone variational inequalities with separable structures. Zbl 1286.90149
He, Bingsheng; Yuan, Xiaoming
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
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
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
2012
On the convergence rate of customized proximal point algorithm for convex optimization and saddle-point problem. Zbl 1488.90137
He, Bingsheng; Shen, Yuan
2012
Solving large-scale least squares semidefinite programming by alternating direction methods. Zbl 1243.49039
He, Bingsheng; Xu, Minghua; Yuan, Xiaoming
2011
Solving over-production and supply-guarantee problems in economic equilibria. Zbl 1213.91119
He, Bing-sheng; Xu, Wei; Yang, Hai; Yuan, Xiao-Ming
2011
Solving a class of matrix minimization problems by linear variational inequality approaches. Zbl 1213.65089
Tao, Min; Yuan, Xiao-Ming; He, Bing-sheng
2011
Solving a class of constrained ‘black-box’ inverse variational inequalities. Zbl 1181.91148
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.
2010
Self-adaptive projection-based prediction-correction method for constrained variational inequalities. Zbl 1186.65083
Fu, Xiaoling; He, Bingsheng
2010
Steplengths in the extragradient type methods. Zbl 1190.65106
Wang, Xiang; He, Bingsheng; Liao, Li-Zhi
2010
Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Zbl 1183.65080
He, Bing-Sheng
2009
Self-adaptive projection method for co-coercive variational inequalities. Zbl 1163.58305
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.; Wu, Ting
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
2009
Proximal-point algorithm using a linear proximal term. Zbl 1170.49008
He, B. S.; Fu, X. L.; Jiang, Z. K.
2009
A comparison of different contraction methods for monotone variational inequalities. Zbl 1212.65259
He, Bingsheng; Wang, Xiang; Yang, Junfeng
2009
A general framework of contraction methods for monotone variational inequalities. Zbl 1190.90120
He, Bingsheng; Xu, Ming-Hua
2008
An improved contraction method for structured monotone variational inequalities. Zbl 1157.65403
He, B. S.; Li, M.; Liao, L.-Z.
2008
He, B.; Chew, W. C.
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.
2007
An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054
He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming
2006
A logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities. Zbl 1121.90119
He, Bing-Sheng; Xu, Ya; Yuan, Xiao-Ming
2006
Alternating projection based prediction-correction methods for structured variational inequalities. Zbl 1133.65041
He, Bing-sheng; Liao, Li-zhi; Qian, Mai-jian
2006
A hybrid inexact logarithmic-quadratic proximal method for nonlinear complementarity problems. Zbl 1104.90049
Xu, Ya; He, Bingsheng; Yuan, Xiaoming
2006
A relaxed approximate proximal point algorithm. Zbl 1119.90063
Yang, Zhenhua; He, Bingsheng
2005
PPA based prediction-correction methods for monotone variational inequalities. Zbl 1096.65061
He, Bingshen; Jiang, Jianlin; Qian, Maijian; Xu, Ya
2005
An approximate proximal-extragradient type method for monotone variational inequalities. Zbl 1068.65087
He, Bing-sheng; Yang, Zhen-hua; Yuan, Xiao-ming
2004
Comparison of two kinds of prediction-correction methods for monotone variational inequalities. Zbl 1061.90111
He, Bingsheng; Yuan, Xiaoming; Zhang, Jason J. Z.
2004
A modified augmented Lagrangian method for a class of monotone variational inequalities. Zbl 1067.90152
He, Bing-sheng; Yang, Hai; Zhang, Chen-song
2004
Self-adaptive operator splitting methods for monotone variational inequalities. Zbl 1033.65047
He, Bingsheng; Liao, Li-Zhi; Wang, Shengli
2003
A new approximate proximal point algorithm for maximal monotone operator. Zbl 1217.65102
He, Bingsheng; Liao, Lizhi; Yang, Zhenhua
2003
A modified variable-penalty alternating directions method for monotone variational inequalities. Zbl 1053.65047
He, Bingsheng; Wang, Shengli; Yang, Hai
2003
Relations of the merit functions methods and the projection-contraction methods for variational inequalities. Zbl 1089.49007
He, Bingsheng; He, Xiaozheng
2003
A uniform framework of a class of prediction-correction methods for monotone variational inequalities. Zbl 1046.49003
He, Bingsheng
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.
2003
A new inexact alternating directions method for monotone variational inequalities. Zbl 1009.90108
He, Bingsheng; Liao, Li-Zhi; Han, Deren; Yang, Hai
2002
Improvements of some projection methods for monotone nonlinear variational inequalities. Zbl 1025.65036
He, B. S.; Liao, L. Z.
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.
2002
A new accuracy criterion for approximate proximal point algorithms. Zbl 0995.65062
Han, Deren; He, Bingsheng
2001
Inexact implicit method with variable parameter for mixed monotone variational inequalities. Zbl 1025.49007
Wang, S. L.; Yang, H.; He, B. S.
2001
Alternating direction method with self-adaptive penalty parameters for monotone variational inequalities. Zbl 0997.49008
He, B. S.; Yang, H.; Wang, S. L.
2000
A modified alternating direction method for convex minimization problems. Zbl 0988.90020
He, Bingsheng; Zhou, Jing
2000
Solving a class of asymmetric variational inequalities by a new alternating direction method. Zbl 0959.49009
Wang, Shengli; Yang, Hai; He, Bingsheng
2000
Solving trust region problem in large scale optimization. Zbl 0951.65055
He, Bingsheng
2000
Inexact implicit methods for monotone general variational inequalities. Zbl 0979.49006
He, Bingsheng
1999
A Goldstein’s type projection method for a class of variant variational inequalities. Zbl 0936.65078
He, Bingsheng
1999
Decomposition method for a class of monotone variational inequality problems. Zbl 0953.65049
He, B. S.; Liao, L. Z.; Yang, H.
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
1999
Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities. Zbl 0963.49006
He, Bingsheng; Yang, Hai
1998
A predict-correct projection method for monotone variant variational inequalities. Zbl 0997.49009
Han, Qiaoming; He, Bingsheng
1998
A class of implicit methods for monotone variational inequalities. Zbl 0922.65052
He, Bingsheng
1998
A class of projection and contraction methods for monotone variational inequalities. Zbl 0865.90119
He, Bingsheng
1997
Method of approximate centers for semi-definite programming. Zbl 0879.90142
He, B.; De Klerk, E.; Roos, C.; Terlaky, T.
1997
A modified projection and contraction method for a class of linear complementarity problems. Zbl 0854.65047
He, B. S.
1996
Solution and applications of a class of general linear variational inequalities. Zbl 0851.49010
He, Bingsheng
1996
A new method for a class of linear variational inequalities. Zbl 0813.49009
He, Bingsheng
1994
Solving a class of linear projection equations. Zbl 0822.65040
He, Bingsheng
1994
New contraction methods for linear inequalities. Zbl 0807.65061
He, Bingsheng
1994
On a class of iterative projection and contraction methods for linear programming. Zbl 0792.90042
He, B. S.
1993
Further developments in an iterative projection and contraction method for linear programming. Zbl 0795.65032
He, Bingsheng
1993
...and 4 more Documents
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### Cited by 1,580 Authors

 79 Yuan, Xiaoming 66 Han, Deren 58 He, Bingsheng 56 Bnouhachem, Abdellah 55 Noor, Muhammad Aslam 29 Cai, Xingju 24 Yao, Jen-Chih 23 Dong, Qiaoli 22 Li, Min 20 Dương Việt Thông 20 He, Hongjin 17 Huang, Ting-Zhu 17 Shehu, Yekini 17 Zhang, Wenxing 16 Liao, Li-Zhi 16 Sun, Min 16 Yao, Yonghong 15 Liu, Sanyang 15 Ma, Feng 14 Liou, Yeongcheng 14 Ma, Shiqian 13 He, Songnian 13 Rassias, Themistocles Michael 13 Tao, Min 13 Wu, Zhongming 13 Xiu, Naihua 12 Ceng, Lu-Chuan 12 Shen, Yuan 12 Sun, Defeng 12 Toh, Kim Chuan 11 Bai, Jianchao 11 Cho, Yeol Je 11 Peng, Zheng 11 Wang, Yiju 10 Chang, Xiaokai 10 Chen, Anthony 10 Dang Van Hieu 10 Fu, Xiaoling 10 Qin, Xiaolong 10 Tran Dinh Quoc 10 Wang, Kai 10 Xu, Hong-Kun 10 Yang, Hai 10 Yang, Qingzhi 10 Zhang, Hongchao 10 Zhang, Shuzhong 10 Zhao, Xile 9 Chen, Caihua 9 Khalfaoui, Mohamed 9 Tan, Bing 9 Tang, Yuchao 9 Xiao, Yunhai 9 Yang, Junfeng 9 Yin, Wotao 9 Zhang, Shougui 8 Fang, Yaping 8 Gibali, Aviv 8 Jian, Jinbao 8 Liu, Jing 8 Verma, Ram U. 8 Wang, Xiangfeng 7 Dong, Yunda 7 Gonçalves, Max L. N. 7 Hu, Rong 7 Huang, Nan-Jing 7 Iyiola, Olaniyi Samuel 7 Jia, ZeHui 7 Jiang, Fan 7 Jiang, Jianlin 7 Li, Jicheng 7 Ma, Tian-Hui 7 Ng, Michael Kwok-Po 7 Ni, Mingfang 7 Sun, Wenyu 7 Valkonen, Tuomo 7 Xu, Lingling 7 Xu, Yangyang 7 Zhaohan, Sheng 6 Ansari, Qamrul Hasan 6 Guo, Ke 6 Lan, Guanghui 6 Li, Xiaolin 6 Li, Xinxin 6 Lin, Tianyi 6 Melo, Jefferson G. 6 Pang, Zhifeng 6 Peng, Jianwen 6 Pock, Thomas 6 Pong, Ting Kei 6 Wen, Zaiwen 6 Yan, Xihong 6 Yashtini, Maryam 6 Ye, Yinyu 6 Yu, Zhanke 6 Zhang, Jianzhong 6 Zhang, Kai 6 Zhang, Su 5 Bai, Yanqin 5 Boyd, Stephen Poythress 5 Chao, Miantao ...and 1,480 more Authors
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### Cited in 183 Serials

 70 Journal of Optimization Theory and Applications 65 Computational Optimization and Applications 63 Applied Mathematics and Computation 53 Optimization 47 Journal of Inequalities and Applications 44 Journal of Computational and Applied Mathematics 38 Journal of Scientific Computing 38 SIAM Journal on Optimization 36 Journal of Global Optimization 36 Numerical Algorithms 32 Computers & Mathematics with Applications 30 Mathematical Programming. Series A. Series B 27 European Journal of Operational Research 27 Journal of Industrial and Management Optimization 26 Optimization Letters 26 Journal of the Operations Research Society of China 23 SIAM Journal on Imaging Sciences 22 Abstract and Applied Analysis 22 Optimization Methods & Software 21 Journal of Mathematical Analysis and Applications 20 Computational and Applied Mathematics 17 Mathematical Problems in Engineering 16 Applied Numerical Mathematics 15 Journal of Applied Mathematics and Computing 14 Advances in Computational Mathematics 14 Fixed Point Theory and Applications 12 Networks and Spatial Economics 12 Science China. Mathematics 11 Applied Mathematics Letters 11 Journal of Mathematical Imaging and Vision 11 Inverse Problems and Imaging 10 Asia-Pacific Journal of Operational Research 10 International Journal of Computer Mathematics 10 Linear Algebra and its Applications 10 Journal of Machine Learning Research (JMLR) 8 Inverse Problems 8 Mathematics of Computation 8 Operations Research Letters 8 Mathematical and Computer Modelling 8 Applied Mathematical Modelling 8 SIAM Journal on Scientific Computing 8 Journal of Applied Mathematics 8 Journal of Fixed Point Theory and Applications 8 Frontiers of Mathematics in China 8 Mathematical Programming Computation 7 Calcolo 7 Information Sciences 7 Optimization and Engineering 6 Computer Methods in Applied Mechanics and Engineering 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Numerical Functional Analysis and Optimization 6 Numerische Mathematik 6 Numerical Algebra, Control and Optimization 5 Automatica 5 SIAM Journal on Numerical Analysis 5 Computers & Operations Research 5 Journal of Inverse and Ill-Posed Problems 5 Journal of Nonlinear Science and Applications 5 Journal of Nonlinear and Variational Analysis 4 International Journal of Modern Physics B 4 Journal of the Franklin Institute 4 Mathematics of Operations Research 4 Acta Applicandae Mathematicae 4 Multidimensional Systems and Signal Processing 4 Computational Statistics and Data Analysis 4 International Journal of Computer Vision 4 INFORMS Journal on Computing 4 Mathematical Methods of Operations Research 4 Advances in Operations Research 4 Journal of Computational and Graphical Statistics 4 East Asian Journal on Applied Mathematics 4 Journal of Function Spaces 3 Journal of the American Statistical Association 3 Systems & Control Letters 3 Annals of Operations Research 3 Machine Learning 3 Applied Mathematics. Series B (English Edition) 3 Engineering Analysis with Boundary Elements 3 Discrete Dynamics in Nature and Society 3 Communications in Nonlinear Science and Numerical Simulation 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Thai Journal of Mathematics 3 Electronic Journal of Statistics 2 Bulletin of the Australian Mathematical Society 2 Linear and Multilinear Algebra 2 Applied Mathematics and Optimization 2 Demonstratio Mathematica 2 Mathematics and Computers in Simulation 2 Quaestiones Mathematicae 2 Neural Networks 2 Neural Computation 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Applied and Computational Harmonic Analysis 2 Numerical Linear Algebra with Applications 2 Journal of Convex Analysis 2 Soft Computing 2 RAIRO. Operations Research 2 The ANZIAM Journal ...and 83 more Serials
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### Cited in 40 Fields

 865 Operations research, mathematical programming (90-XX) 604 Numerical analysis (65-XX) 402 Calculus of variations and optimal control; optimization (49-XX) 245 Operator theory (47-XX) 131 Information and communication theory, circuits (94-XX) 126 Computer science (68-XX) 53 Statistics (62-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Systems theory; control (93-XX) 20 Biology and other natural sciences (92-XX) 18 Partial differential equations (35-XX) 16 Mechanics of deformable solids (74-XX) 14 Global analysis, analysis on manifolds (58-XX) 8 Functional analysis (46-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 General topology (54-XX) 5 Probability theory and stochastic processes (60-XX) 4 Integral transforms, operational calculus (44-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-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 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)