# zbMATH — the first resource for mathematics

## He, Bingsheng

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 Author ID: he.bingsheng Published as: He, B.; He, B. S.; He, Bing-Sheng; He, Bing-sheng; He, BingSheng; He, Bingsheng
 Documents Indexed: 136 Publications since 1986, including 2 Books
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#### Co-Authors

 31 single-authored 40 Yuan, Xiaoming 8 Liao, Li-Zhi 6 Yang, Hai 5 Tao, Min 4 Gu, GuoYong 4 He, Xiaozheng 4 Ma, Feng 4 Wang, Xiang 4 Xu, Minghua 3 Chen, Caihua 3 Fu, Xiaoling 3 Han, Deren 3 Liu, Han 3 Liu, Henry X. 3 Wang, Shengli 3 Yang, Zhenhua 2 Cai, Xingju 2 Xu, Ya 2 Yang, Junfeng 2 You, Yanfei 2 Zhang, Wenxing 1 Chen, Cheng 1 Chen, Jian 1 Cui, Yingchuan 1 Ding, Jiu 1 Fang, Ethan X. 1 Feng, Dan 1 Gao, Shen 1 Gong, Yifan 1 Guo, Minyi 1 Han, Qiaoming 1 He, Xuchu 1 Hou, Liusheng 1 Jiang, Hong 1 Jin, Hai 1 Li, Dan 1 Li, Min 1 Li, Qinbin 1 Liao, Xiaofei 1 Lin, Yingjiu 1 Liu, Cheng 1 Liu, Haikun 1 Liu, Hanfeng 1 Liu, Renshan 1 Lu, Juwei 1 Lu, Xiaohong 1 Lu, Yanchao 1 Luo, Qiong 1 Ni, Qin 1 On, Sai Tung 1 Ouyang, Zixiang 1 Peng, Zheng 1 Qian, Maijian 1 Shang, Yi 1 Shen, Yuan 1 Sheng, Songbai 1 Shi, Jiashuai 1 Stoer, Josef 1 Sun, Wenyu 1 Tang, Xueyan 1 Tian, Lei 1 Tong, Xiaojiao 1 Tu, Kaijie 1 Wang, Chundong 1 Wang, Fang 1 Wang, Xiangfeng 1 Wang, Ying 1 Wang, Zhaoran 1 Wei, Qingsong 1 Wen, Zeyi 1 Wu, Ming 1 Wu, Soon-Yi 1 Wu, Ting 1 Xiao, Yunhai 1 Xu, Dawen 1 Xu, Hong-Kun 1 Xu, Jianliang 1 Xu, Wei 1 Yang, Jun 1 Ye, Yinyu 1 Yong, Khai Leong 1 Yue, Yinliang 1 Zhang, Chensong 1 Zhang, Guoguang 1 Zhang, Jianzhong 1 Zhang, Lei 1 Zhang, Yu 1 Zhou, Jing 1 Zhu, Yiran
all top 5

#### Serials

 10 Computational Optimization and Applications 9 Numerical Mathematics 7 IEEE Transactions on Computers 7 Journal of Computational Mathematics 5 Mathematical Programming. Series A. Series B 4 Numerische Mathematik 4 Journal of Nanjing University. Mathematical Biquarterly 3 IMA Journal of Numerical Analysis 3 Journal of Mathematical Analysis and Applications 3 Journal of Optimization Theory 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 SIAM Journal on Imaging Sciences 3 Journal of the Operations Research Society of China 2 Computers & Mathematics with Applications 2 Applied Mathematics and Optimization 2 Mathematica Numerica Sinica 2 Science in China. Series A 2 Linear Algebra and its Applications 2 Chinese Journal of Numerical Mathematics and Applications 2 Networks and Spatial Economics 2 Journal of Industrial and Management Optimization 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 Optimization 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 Optimization Methods & Software 1 Advances in Nonlinear Variational Inequalities 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Machine Learning Research (JMLR) 1 Advanced Modeling and Optimization 1 Mathematical Programming Computation 1 Science China. Mathematics 1 SMAI Journal of Computational Mathematics
all top 5

#### Fields

 89 Operations research, mathematical programming (90-XX) 60 Numerical analysis (65-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 10 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 4 Operator theory (47-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) 1 General and overarching topics; collections (00-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

102 Publications have been cited 2,319 times in 1,049 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
A class of projection and contraction methods for monotone variational inequalities. Zbl 0865.90119
He, Bingsheng
1997
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
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
Inexact implicit methods for monotone general variational inequalities. Zbl 0979.49006
He, Bingsheng
1999
Convergence analysis of primal-dual algorithms for a saddle-point problem: from contraction perspective. Zbl 1250.90066
He, Bingsheng; Yuan, Xiaoming
2012
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 new method for a class of linear variational inequalities. Zbl 0813.49009
He, Bingsheng
1994
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
Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities. Zbl 0963.49006
He, Bingsheng; Yang, Hai
1998
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
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
2012
Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Zbl 1183.65080
He, Bing-Sheng
2009
A strictly contractive Peaceman-Rachford splitting method for convex programming. Zbl 1327.90210
He, Bingsheng; Liu, Han; Wang, Zhaoran; Yuan, Xiaoming
2014
Solving a class of linear projection equations. Zbl 0822.65040
He, Bingsheng
1994
A new accuracy criterion for approximate proximal point algorithms. Zbl 0995.65062
Han, Deren; He, Bingsheng
2001
Comparison of two kinds of prediction-correction methods for monotone variational inequalities. Zbl 1061.90111
He, Bingsheng; Yuan, Xiaoming; Zhang, Jason J. Z.
2004
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
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
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
Solving large-scale least squares semidefinite programming by alternating direction methods. Zbl 1243.49039
He, Bingsheng; Xu, Minghua; Yuan, Xiaoming
2011
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 of primal-dual hybrid gradient algorithm. Zbl 1308.90129
He, Bingsheng; You, Yanfei; Yuan, Xiaoming
2014
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 operator splitting methods for monotone variational inequalities. Zbl 1033.65047
He, Bingsheng; Liao, Li-Zhi; Wang, Shengli
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
2017
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
Convergence study on the symmetric version of ADMM with larger step sizes. Zbl 1381.90066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2016
A logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities. Zbl 1121.90119
He, Bing-Sheng; Xu, Ya; Yuan, Xiao-Ming
2006
An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054
He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming
2006
A modified projection and contraction method for a class of linear complementarity problems. Zbl 0854.65047
He, B. S.
1996
On the convergence rate of Douglas-Rachford operator splitting method. Zbl 1327.90211
He, Bingsheng; Yuan, Xiaoming
2015
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
Solving a class of constrained ‘black-box’ inverse variational inequalities. Zbl 1181.91148
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.
2010
Zero-inflated Poisson model in statistical process control. Zbl 1095.62517
Xie, M.; He, B.; Goh, T. N.
2001
A modified alternating direction method for convex minimization problems. Zbl 0988.90020
He, Bingsheng; Zhou, Jing
2000
A customized proximal point algorithm for convex minimization with linear constraints. Zbl 1287.90048
He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing
2013
Self-adaptive projection method for co-coercive variational inequalities. Zbl 1163.58305
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.; Wu, Ting
2009
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
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 general framework of contraction methods for monotone variational inequalities. Zbl 1190.90120
He, Bingsheng; Xu, Ming-Hua
2008
Proximal-point algorithm using a linear proximal term. Zbl 1170.49008
He, B. S.; Fu, X. L.; Jiang, Z. K.
2009
Alternating projection based prediction-correction methods for structured variational inequalities. Zbl 1133.65041
He, Bing-sheng; Liao, Li-zhi; Qian, Mai-jian
2006
Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming. Zbl 1264.90139
He, Bingsheng; Yuan, Xiaoming
2013
Solution of projection problems over polytopes. Zbl 0758.65046
He, Bingsheng; Stoer, Josef
1992
A modified augmented Lagrangian method for a class of monotone variational inequalities. Zbl 1067.90152
He, Bing-sheng; Yang, Hai; Zhang, Chen-song
2004
PPA-like contraction methods for convex optimization: a framework using variational inequality approach. Zbl 1332.65084
He, Bing-Sheng
2015
A new approximate proximal point algorithm for maximal monotone operator. Zbl 1217.65102
He, Bingsheng; Liao, Lizhi; Yang, Zhenhua
2003
Inexact implicit method with variable parameter for mixed monotone variational inequalities. Zbl 1025.49007
Wang, S. L.; Yang, H.; He, B. S.
2001
A Goldstein’s type projection method for a class of variant variational inequalities. Zbl 0936.65078
He, Bingsheng
1999
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
Block-wise alternating direction method of multipliers for multiple-block convex programming and beyond. Zbl 1418.90193
He, Bingsheng; Yuan, Xiaoming
2015
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
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
An algorithmic framework of generalized primal-dual hybrid gradient methods for saddle point problems. Zbl 1387.90186
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2017
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
Solving a class of asymmetric variational inequalities by a new alternating direction method. Zbl 0959.49009
Wang, Shengli; Yang, Hai; He, Bingsheng
2000
Solution and applications of a class of general linear variational inequalities. Zbl 0851.49010
He, Bingsheng
1996
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
Lagrangian-PPA based contraction methods for linearly constrained convex optimization. Zbl 1310.90086
You, Yanfei; Fu, Xiaoling; He, Bingsheng
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
2012
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
A predict-correct projection method for monotone variant variational inequalities. Zbl 0997.49009
Han, Qiaoming; He, Bingsheng
1998
On a class of iterative projection and contraction methods for linear programming. Zbl 0792.90042
He, B. S.
1993
Inexact alternating-direction-based contraction methods for separable linearly constrained convex optimization. Zbl 1322.90065
Gu, Guoyong; He, Bingsheng; Yang, Junfeng
2014
Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. Zbl 1292.65065
Shen, Yuan; Zhang, Wenxing; 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
Solving trust region problem in large scale optimization. Zbl 0951.65055
He, Bingsheng
2000
A class of implicit methods for monotone variational inequalities. Zbl 0922.65052
He, Bingsheng
1998
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
Optimal proximal augmented Lagrangian method and its application to full Jacobian splitting for multi-block separable convex minimization problems. Zbl 07199506
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2020
Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111
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
Solving a class of matrix minimization problems by linear variational inequality approaches. Zbl 1213.65089
Tao, Min; Yuan, Xiao-Ming; He, Bing-sheng
2011
A comparison of different contraction methods for monotone variational inequalities. Zbl 1212.65259
He, Bingsheng; Wang, Xiang; Yang, Junfeng
2009
Diagonalizations of vector and tensor addition theorems. Zbl 1364.43007
He, B.; Chew, W. C.
2008
On analogues of the Hilbert’s inequality. Zbl 1165.26326
He, B.; Li, Y.; Qian, Y.
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
Relations of the merit functions methods and the projection-contraction methods for variational inequalities. Zbl 1089.49007
He, Bingsheng; He, Xiaozheng
2003
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
On the convergence properties of alternating direction method of multipliers. Zbl 1389.90255
He, Bingsheng
2017
A novel fuzzy sliding-mode control for discrete-time uncertain system. Zbl 1400.93168
Yan, T. H.; Wu, B.; He, B.; Li, W. H.; Wang, R. B.
2016
Alternating direction method of multipliers for linear programming. Zbl 1365.90200
He, Bing-Sheng; Yuan, Xiao-Ming
2016
Forward-backward-based descent methods for composite variational inequalities. Zbl 1282.90196
He, Bingsheng; Yuan, Xiaoming
2013
Steplengths in the extragradient type methods. Zbl 1190.65106
Wang, Xiang; He, Bingsheng; Liao, Li-Zhi
2010
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
A uniform framework of a class of prediction-correction methods for monotone variational inequalities. Zbl 1046.49003
He, Bingsheng
2003
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
Method of approximate centers for semi-definite programming. Zbl 0879.90142
He, B.; De Klerk, E.; Roos, C.; Terlaky, T.
1997
Optimal proximal augmented Lagrangian method and its application to full Jacobian splitting for multi-block separable convex minimization problems. Zbl 07199506
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2020
Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111
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
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
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 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
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
Convergence study on the symmetric version of ADMM with larger step sizes. Zbl 1381.90066
He, Bingsheng; Ma, Feng; 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
A novel fuzzy sliding-mode control for discrete-time uncertain system. Zbl 1400.93168
Yan, T. H.; Wu, B.; He, B.; Li, W. H.; Wang, R. B.
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
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
Lagrangian-PPA based contraction methods for linearly constrained convex optimization. Zbl 1310.90086
You, Yanfei; Fu, Xiaoling; He, Bingsheng
2014
Inexact alternating-direction-based contraction methods for separable linearly constrained convex optimization. Zbl 1322.90065
Gu, Guoyong; He, Bingsheng; Yang, Junfeng
2014
Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. Zbl 1292.65065
Shen, Yuan; Zhang, Wenxing; He, Bingsheng
2014
A proximal point algorithm revisit on the alternating direction method of multipliers. Zbl 1292.65062
Cai, XingJu; Gu, GuoYong; He, BingSheng; Yuan, XiaoMing
2013
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 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
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
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
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
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
Diagonalizations of vector and tensor addition theorems. Zbl 1364.43007
He, B.; Chew, W. C.
2008
On analogues of the Hilbert’s inequality. Zbl 1165.26326
He, B.; Li, Y.; Qian, Y.
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
A logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities. Zbl 1121.90119
He, Bing-Sheng; Xu, Ya; Yuan, Xiao-Ming
2006
An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054
He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming
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
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 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 uniform framework of a class of prediction-correction methods for monotone variational inequalities. Zbl 1046.49003
He, Bingsheng
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
Zero-inflated Poisson model in statistical process control. Zbl 1095.62517
Xie, M.; He, B.; Goh, T. N.
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
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
Solution of projection problems over polytopes. Zbl 0758.65046
He, Bingsheng; Stoer, Josef
1992
...and 2 more Documents
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#### Cited by 1,350 Authors

 74 Yuan, Xiaoming 57 Han, Deren 54 Noor, Muhammad Aslam 53 Bnouhachem, Abdellah 50 He, Bingsheng 19 Cai, Xingju 18 Yao, Jen-Chih 17 He, Hongjin 16 Huang, Ting-Zhu 16 Li, Min 16 Yao, Yonghong 15 Sun, Min 14 Zhang, Wenxing 13 Ceng, Lu-Chuan 13 Dong, Qiaoli 13 Liao, Li-Zhi 13 Liou, Yeongcheng 13 Ma, Feng 13 Ma, Shiqian 13 Tao, Min 13 Xiu, Naihua 11 Dương Việt Thông 11 Liu, Sanyang 10 Peng, Zheng 10 Rassias, Themistocles Michael 10 Shehu, Yekini 10 Wang, Yiju 9 Fu, Xiaoling 9 He, Songnian 9 Huang, Nan-Jing 9 Khalfaoui, Mohamed 9 Sun, Defeng 9 Yang, Qingzhi 9 Zhang, Shougui 9 Zhang, Shuzhong 9 Zhao, Xile 8 Chen, Anthony 8 Chen, Caihua 8 Liu, Jing 8 Toh, Kimchuan 8 Tran Dinh Quoc 8 Verma, Ram U. 8 Wang, Kai 8 Xiao, Yunhai 8 Xu, Hong-Kun 8 Xu, Minghua 8 Yang, Hai 7 Cho, Yeol Je 7 Dang Van Hieu 7 Dong, Yunda 7 Gibali, Aviv 7 Gonçalves, Max L. N. 7 Sun, Wenyu 7 Yin, Wotao 7 Zhaohan, Sheng 6 Ansari, Qamrul Hasan 6 Bai, Jianchao 6 Fang, Yaping 6 Jiang, Jianlin 6 Li, Jicheng 6 Li, Xiaolin 6 Lo, Hong Kam 6 Ma, Tian-Hui 6 Melo, Jefferson G. 6 Ni, Mingfang 6 Pang, Zhifeng 6 Peng, Jianwen 6 Pock, Thomas 6 Shen, Yuan 6 Tang, Yuchao 6 Valkonen, Tuomo 6 Wang, Xiangfeng 6 Xu, Lingling 6 Yan, Xihong 6 Yang, Junfeng 6 Zhang, Jianzhong 5 Bai, Yanqin 5 Goldfarb, Donald 5 Gu, GuoYong 5 Guo, Ke 5 Hu, Rong 5 Kou, Xipeng 5 Li, Shengjie 5 Lin, Tianyi 5 Luo, Zhi-Quan 5 Mei, Jin-Jin 5 Ng, Michael Kwok-Po 5 Peng, Jigen 5 Pong, Ting Kei 5 Sheng, Zhaohan 5 Sun, Hongchun 5 Tang, Guoji 5 Wang, Si 5 Wen, Zaiwen 5 Wu, Zhongming 5 Xu, Yangyang 5 Yang, Yufei 5 Yu, Zhanke 5 Zhang, Haibin 5 Zhang, Hongchao ...and 1,250 more Authors
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#### Cited in 152 Serials

 65 Journal of Optimization Theory and Applications 59 Applied Mathematics and Computation 51 Computational Optimization and Applications 41 Optimization 35 Journal of Computational and Applied Mathematics 33 Computers & Mathematics with Applications 30 Journal of Global Optimization 30 Journal of Inequalities and Applications 29 Journal of Scientific Computing 27 SIAM Journal on Optimization 25 Mathematical Programming. Series A. Series B 23 Numerical Algorithms 23 European Journal of Operational Research 22 Journal of Mathematical Analysis and Applications 22 Abstract and Applied Analysis 21 Optimization Methods & Software 21 Optimization Letters 19 Journal of the Operations Research Society of China 18 Journal of Industrial and Management Optimization 18 SIAM Journal on Imaging Sciences 16 Mathematical Problems in Engineering 14 Fixed Point Theory and Applications 13 Advances in Computational Mathematics 12 Journal of Applied Mathematics and Computing 12 Science China. Mathematics 11 Applied Mathematics Letters 11 Journal of Mathematical Imaging and Vision 11 Networks and Spatial Economics 10 Computational and Applied Mathematics 9 Applied Numerical Mathematics 9 Linear Algebra and its Applications 9 Journal of Applied Mathematics 8 Operations Research Letters 8 Mathematical and Computer Modelling 8 International Journal of Computer Mathematics 8 Computational Statistics and Data Analysis 8 Frontiers of Mathematics in China 7 Mathematics of Computation 7 Applied Mathematical Modelling 7 Journal of Machine Learning Research (JMLR) 7 Inverse Problems and Imaging 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Asia-Pacific Journal of Operational Research 6 Journal of Fixed Point Theory and Applications 5 Calcolo 5 Information Sciences 5 Numerical Functional Analysis and Optimization 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 Journal of Nonlinear Science and Applications 4 International Journal of Modern Physics B 4 Computer Methods in Applied Mechanics and Engineering 4 Inverse Problems 4 Mathematics of Operations Research 4 Computers & Operations Research 4 SIAM Journal on Scientific Computing 4 Mathematical Methods of Operations Research 4 Advances in Operations Research 4 Mathematical Programming Computation 4 Numerical Algebra, Control and Optimization 3 Journal of the Franklin Institute 3 Applied Mathematics and Optimization 3 Automatica 3 Systems & Control Letters 3 Multidimensional Systems and Signal Processing 3 Machine Learning 3 Applied Mathematics. Series B (English Edition) 3 Optimization and Engineering 3 Statistical Methodology 3 East Asian Journal on Applied Mathematics 2 Bulletin of the Australian Mathematical Society 2 Linear and Multilinear Algebra 2 Journal of the American Statistical Association 2 Quaestiones Mathematicae 2 Neural Networks 2 Annals of Operations Research 2 Neural Computation 2 Applications of Mathematics 2 Communications in Statistics. Simulation and Computation 2 Communications in Statistics. Theory and Methods 2 Numerical Linear Algebra with Applications 2 International Journal of Computer Vision 2 Journal of Inverse and Ill-Posed Problems 2 Journal of Convex Analysis 2 Engineering Analysis with Boundary Elements 2 Soft Computing 2 Journal of Applied Statistics 2 Communications in Nonlinear Science and Numerical Simulation 2 RAIRO. Operations Research 2 The ANZIAM Journal 2 International Journal of Computational Methods 2 Acta Numerica 2 Computational & Mathematical Methods in Medicine 2 Electronic Journal of Statistics 2 SMAI Journal of Computational Mathematics 1 Discrete Applied Mathematics 1 International Journal of Control 1 International Journal of Systems Science 1 Chaos, Solitons and Fractals 1 Biometrics ...and 52 more Serials
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#### Cited in 38 Fields

 667 Operations research, mathematical programming (90-XX) 462 Numerical analysis (65-XX) 321 Calculus of variations and optimal control; optimization (49-XX) 173 Operator theory (47-XX) 101 Information and communication theory, circuits (94-XX) 86 Computer science (68-XX) 49 Statistics (62-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Systems theory; control (93-XX) 15 Partial differential equations (35-XX) 14 Biology and other natural sciences (92-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Mechanics of deformable solids (74-XX) 6 Real functions (26-XX) 5 Functional analysis (46-XX) 4 Differential geometry (53-XX) 4 General topology (54-XX) 4 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)