# zbMATH — the first resource for mathematics

## He, Bingsheng

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 Author ID: he.bingsheng Published as: He, Bingsheng; He, B.; He, B. S.; He, Bing-Sheng; He, Bing-sheng; He, BingSheng
 Documents Indexed: 137 Publications since 1986, including 2 Books
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#### Co-Authors

 34 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 Goh, Thong Ngee 2 Xie, Min 2 Xu, Ya 2 Yang, Junfeng 2 You, Yanfei 2 Zhang, Wenxing 1 Chen, Cheng 1 Chen, Jian 1 Cui, Yingchuan 1 de Klerk, Etienne 1 Ding, Jiu 1 Du, Haiping 1 Fang, Ethan X. 1 Feng, Dan 1 Gao, Shen 1 Gong, Yifan 1 Guo, Minyi 1 Gupta, Pushpa Lata 1 Han, Qiaoming 1 He, Xuchu 1 Hou, Liusheng 1 Jiang, Hong 1 Jin, Hai 1 Li, Dan 1 Li, Qinbin 1 Li, Weihua 1 Liao, Xiaofei 1 Lin, Yingjiu 1 Liu, Cheng 1 Liu, Haikun 1 Liu, Hanfeng 1 Liu, Renshan 1 Lombardo, S. J. 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 Qiu, Y. B. 1 Roos, Cornelis 1 Shang, Yi 1 Shen, Yuan 1 Sheng, Songbai 1 Shi, Jiashuai 1 Stancil, P. C. 1 Stoer, Josef 1 Sun, Shuaishuai 1 Sun, Wenyu 1 Tang, Xueyan 1 Terlaky, Tamás 1 Tian, Lei 1 Tong, Xiaojiao 1 Tu, Kaijie 1 Wang, Chundong 1 Wang, Fang 1 Wang, Xiangfeng 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, Qian 1 Yan, Jun 1 Ye, Yinyu 1 Yong, Khai Leong 1 Yue, Yinliang 1 Zhang, Chensong 1 Zhang, Guoguang 1 Zhang, Jianzhong 1 Zhang, Yu 1 Zhang, Zheng 1 Zhou, Jing 1 Zhu, Yiran
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#### Serials

 10 Journal of Optimization Theory and Applications 10 Computational Optimization and Applications 9 Numerical Mathematics 8 Journal of Computational Mathematics 7 IEEE Transactions on Computers 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 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 Optimization 2 Science in China. Series A 2 Linear Algebra and its Applications 2 Chinese Journal of Numerical Mathematics and Applications 2 Mathematical Problems in Engineering 2 Optimization Methods & Software 2 Networks and Spatial Economics 2 Journal of Industrial and Management Optimization 2 Communications in Computational Physics 2 Numerical Algebra, Control and Optimization 2 Operations Research Transactions 1 Discrete Applied Mathematics 1 Journal of Applied Mechanics 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 Computational Statistics and Data Analysis 1 Chinese Science Bulletin 1 Journal of Mathematical Imaging and Vision 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 Journal of Machine Learning Research (JMLR) 1 Analysis in Theory and Applications 1 Communications in Mathematical Analysis 1 Advanced Modeling and Optimization 1 Mathematical Programming Computation 1 Science China. Mathematics 1 SMAI Journal of Computational Mathematics
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#### Fields

 99 Operations research, mathematical programming (90-XX) 66 Numerical analysis (65-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 11 Computer science (68-XX) 6 Operator theory (47-XX) 6 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Statistics (62-XX) 3 Optics, electromagnetic theory (78-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-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

103 Publications have been cited 2,615 times in 1,112 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
Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2012
A class of projection and contraction methods for monotone variational inequalities. Zbl 0865.90119
He, Bingsheng
1997
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
On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers. Zbl 1320.90060
He, Bingsheng; Yuan, Xiaoming
2015
A new method for a class of linear variational inequalities. Zbl 0813.49009
He, Bingsheng
1994
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 strictly contractive Peaceman-Rachford splitting method for convex programming. Zbl 1327.90210
He, Bingsheng; Liu, Han; Wang, Zhaoran; Yuan, Xiaoming
2014
Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Zbl 1183.65080
He, Bing-Sheng
2009
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
On full Jacobian decomposition of the augmented Lagrangian method for separable convex programming. Zbl 1327.90209
He, Bingsheng; Hou, Liusheng; 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
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
2012
Solving a class of linear projection equations. Zbl 0822.65040
He, Bingsheng
1994
A splitting method for separable convex programming. Zbl 1310.65062
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2015
A new accuracy criterion for approximate proximal point algorithms. Zbl 0995.65062
Han, Deren; He, Bingsheng
2001
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
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
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
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
On the convergence rate of Douglas-Rachford operator splitting method. Zbl 1327.90211
He, Bingsheng; Yuan, Xiaoming
2015
An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054
He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming
2006
Solving a class of constrained ‘black-box’ inverse variational inequalities. Zbl 1181.91148
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.
2010
Self-adaptive operator splitting methods for monotone variational inequalities. Zbl 1033.65047
He, Bingsheng; Liao, Li-Zhi; Wang, Shengli
2003
A proximal point algorithm revisit on the alternating direction method of multipliers. Zbl 1292.65062
Cai, XingJu; Gu, GuoYong; He, BingSheng; Yuan, XiaoMing
2013
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
A logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities. Zbl 1121.90119
He, Bing-Sheng; Xu, Ya; Yuan, Xiao-Ming
2006
A modified projection and contraction method for a class of linear complementarity problems. Zbl 0854.65047
He, B. S.
1996
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 customized proximal point algorithm for convex minimization with linear constraints. Zbl 1287.90048
He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing
2013
Zero-inflated Poisson model in statistical process control. Zbl 1095.62517
Xie, M.; He, B.; Goh, T. N.
2001
Self-adaptive projection method for co-coercive variational inequalities. Zbl 1163.58305
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.; Wu, Ting
2009
A general framework of contraction methods for monotone variational inequalities. Zbl 1190.90120
He, Bingsheng; Xu, Ming-Hua
2008
A modified alternating direction method for convex minimization problems. Zbl 0988.90020
He, Bingsheng; Zhou, Jing
2000
Alternating projection based prediction-correction methods for structured variational inequalities. Zbl 1133.65041
He, Bing-sheng; Liao, Li-zhi; Qian, Mai-jian
2006
Proximal-point algorithm using a linear proximal term. Zbl 1170.49008
He, B. S.; Fu, X. L.; Jiang, Z. K.
2009
Solution of projection problems over polytopes. Zbl 0758.65046
He, Bingsheng; Stoer, Josef
1992
Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming. Zbl 1264.90139
He, Bingsheng; Yuan, Xiaoming
2013
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
A Goldstein’s type projection method for a class of variant variational inequalities. Zbl 0936.65078
He, Bingsheng
1999
Inexact implicit method with variable parameter for mixed monotone variational inequalities. Zbl 1025.49007
Wang, S. L.; Yang, H.; He, B. S.
2001
Block-wise alternating direction method of multipliers for multiple-block convex programming and beyond. Zbl 1418.90193
He, Bingsheng; Yuan, Xiaoming
2015
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
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
A unified framework of some proximal-based decomposition methods for monotone variational inequalities with separable structures. Zbl 1286.90149
He, Bingsheng; Yuan, Xiaoming
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
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
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
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
A class of ADMM-based algorithms for three-block separable convex programming. Zbl 1393.90085
He, Bingsheng; Yuan, Xiaoming
2018
On a class of iterative projection and contraction methods for linear programming. Zbl 0792.90042
He, B. S.
1993
Decomposition method for a class of monotone variational inequality problems. Zbl 0953.65049
He, B. S.; Liao, L. Z.; Yang, H.
1999
Inexact alternating-direction-based contraction methods for separable linearly constrained convex optimization. Zbl 1322.90065
Gu, Guoyong; He, Bingsheng; Yang, Junfeng
2014
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
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
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
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 saddle point algorithm for linear programming. Zbl 0692.90066
He, Bingsheng
1989
Further developments in an iterative projection and contraction method for linear programming. Zbl 0795.65032
He, Bingsheng
1993
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
Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. Zbl 1292.65065
Shen, Yuan; Zhang, Wenxing; He, Bingsheng
2014
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
Relations of the merit functions methods and the projection-contraction methods for variational inequalities. Zbl 1089.49007
He, Bingsheng; He, Xiaozheng
2003
Diagonalizations of vector and tensor addition theorems. Zbl 1364.43007
He, B.; Chew, W. C.
2008
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
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
A globally linearly convergent saddle point algorithm for linear programming. Zbl 0736.65040
He, Bingsheng
1991
Method of approximate centers for semi-definite programming. Zbl 0879.90142
He, B.; De Klerk, E.; Roos, C.; Terlaky, T.
1997
New contraction methods for linear inequalities. Zbl 0807.65061
He, Bingsheng
1994
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
Forward-backward-based descent methods for composite variational inequalities. Zbl 1282.90196
He, Bingsheng; Yuan, Xiaoming
2013
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
Steplengths in the extragradient type methods. Zbl 1190.65106
Wang, Xiang; He, Bingsheng; Liao, Li-Zhi
2010
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
Modified alternating directions method of multipliers for convex optimization with three separable functions. Zbl 1349.90679
He, Bingsheng
2015
An improved contraction method for structured monotone variational inequalities. Zbl 1157.65403
He, B. S.; Li, M.; Liao, L.-Z.
2008
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
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
A class of ADMM-based algorithms for three-block separable convex programming. Zbl 1393.90085
He, Bingsheng; Yuan, Xiaoming
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
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
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
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
Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. Zbl 1292.65065
Shen, Yuan; Zhang, Wenxing; He, Bingsheng
2014
Lagrangian-PPA based contraction methods for linearly constrained convex optimization. Zbl 1310.90086
You, Yanfei; Fu, Xiaoling; 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
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
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
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
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
Self-adaptive projection method for co-coercive variational inequalities. Zbl 1163.58305
He, Bingsheng; He, Xiao-Zheng; Liu, Henry X.; Wu, Ting
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
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
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
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
...and 3 more Documents
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#### Cited by 1,299 Authors

 72 Yuan, Xiaoming 62 Han, Deren 55 Bnouhachem, Abdellah 49 Noor, Muhammad Aslam 48 He, Bingsheng 25 Cai, Xingju 20 He, Hongjin 20 Yao, Jen-Chih 18 Li, Min 17 Dong, Qiaoli 17 Huang, Ting-Zhu 17 Zhang, Wenxing 15 Sun, Min 15 Yao, Yonghong 14 Liu, Sanyang 14 Ma, Feng 13 Liao, Li-Zhi 13 Liou, Yeongcheng 13 Ma, Shiqian 13 Tao, Min 12 Ceng, Lu-Chuan 12 He, Songnian 12 Rassias, Themistocles Michael 12 Shehu, Yekini 12 Xiu, Naihua 11 Dương Việt Thông 11 Peng, Zheng 10 Bai, Jianchao 10 Sun, Defeng 10 Wang, Yiju 10 Xu, Hong-Kun 10 Zhao, Xile 9 Chang, Xiaokai 9 Chen, Anthony 9 Chen, Caihua 9 Cho, Yeol Je 9 Fu, Xiaoling 9 Tran Dinh Quoc 9 Wu, Zhongming 9 Yang, Qingzhi 9 Yin, Wotao 9 Zhang, Shuzhong 8 Khalfaoui, Mohamed 8 Liu, Jing 8 Toh, Kimchuan 8 Verma, Ram U. 8 Wang, Kai 8 Xiao, Yunhai 8 Yang, Hai 8 Yang, Junfeng 7 Gibali, Aviv 7 Gonçalves, Max L. N. 7 Huang, Nan-Jing 7 Jia, ZeHui 7 Li, Jicheng 7 Ma, Tian-Hui 7 Ng, Michael Kwok-Po 7 Ni, Mingfang 7 Shen, Yuan 7 Sun, Wenyu 7 Tang, Yuchao 7 Valkonen, Tuomo 7 Wang, Xiangfeng 7 Xu, Yangyang 7 Zhang, Hongchao 6 Ansari, Qamrul Hasan 6 Dong, Yunda 6 Fang, Yaping 6 Jiang, Jianlin 6 Melo, Jefferson G. 6 Pang, Zhifeng 6 Peng, Jianwen 6 Pock, Thomas 6 Pong, Ting Kei 6 Qin, Xiaolong 6 Xu, Lingling 6 Yan, Xihong 6 Yu, Zhanke 6 Zhang, Jianzhong 6 Zhang, Shougui 6 Zhaohan, Sheng 5 Bai, Yanqin 5 Gu, GuoYong 5 Guo, Ke 5 He, Xiaozheng 5 Hu, Rong 5 Lan, Guanghui 5 Li, Xinxin 5 Lin, Tianyi 5 Luo, Zhi-Quan 5 Ma, Changfeng 5 Mei, Jin-Jin 5 Peng, Jigen 5 Sheng, Zhaohan 5 Song, Haiming 5 Sun, Hongchun 5 Wang, David Z. W. 5 Wang, Si 5 Xu, Minghua 5 Yang, Yufei ...and 1,199 more Authors
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#### Cited in 149 Serials

 67 Journal of Optimization Theory and Applications 58 Applied Mathematics and Computation 58 Computational Optimization and Applications 46 Optimization 40 Journal of Computational and Applied Mathematics 37 Journal of Scientific Computing 32 Computers & Mathematics with Applications 32 SIAM Journal on Optimization 30 Journal of Global Optimization 28 Mathematical Programming. Series A. Series B 27 Numerical Algorithms 27 European Journal of Operational Research 27 Journal of Inequalities and Applications 23 Optimization Letters 21 Abstract and Applied Analysis 21 Journal of Industrial and Management Optimization 21 Journal of the Operations Research Society of China 20 SIAM Journal on Imaging Sciences 19 Journal of Mathematical Analysis and Applications 17 Mathematical Problems in Engineering 17 Optimization Methods & Software 16 Computational and Applied Mathematics 15 Applied Numerical Mathematics 14 Advances in Computational Mathematics 14 Fixed Point Theory and Applications 13 Journal of Applied Mathematics and Computing 11 Applied Mathematics Letters 10 Linear Algebra and its Applications 10 Journal of Mathematical Imaging and Vision 10 Networks and Spatial Economics 10 Inverse Problems and Imaging 10 Science China. Mathematics 9 Journal of Machine Learning Research (JMLR) 8 Mathematics of Computation 8 Asia-Pacific Journal of Operational Research 8 Mathematical and Computer Modelling 8 Applied Mathematical Modelling 8 International Journal of Computer Mathematics 7 Calcolo 7 Information Sciences 7 Operations Research Letters 7 Journal of Fixed Point Theory and Applications 7 Frontiers of Mathematics in China 6 Inverse Problems 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 SIAM Journal on Scientific Computing 6 Journal of Applied Mathematics 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 Journal of Nonlinear Science and Applications 5 Mathematical Programming Computation 4 International Journal of Modern Physics B 4 Mathematics of Operations Research 4 Numerical Functional Analysis and Optimization 4 Computers & Operations Research 4 Multidimensional Systems and Signal Processing 4 International Journal of Computer Vision 4 Journal of Inverse and Ill-Posed Problems 4 Mathematical Methods of Operations Research 4 Advances in Operations Research 4 Numerical Algebra, Control and Optimization 4 East Asian Journal on Applied Mathematics 3 Journal of the Franklin Institute 3 Applied Mathematics and Optimization 3 Acta Applicandae Mathematicae 3 Machine Learning 3 Computational Statistics and Data Analysis 3 Applied Mathematics. Series B (English Edition) 3 Discrete Dynamics in Nature and Society 3 Optimization and Engineering 3 Electronic Journal of Statistics 3 Journal of Nonlinear and Variational Analysis 2 Bulletin of the Australian Mathematical Society 2 Computer Methods in Applied Mechanics and Engineering 2 Linear and Multilinear Algebra 2 Automatica 2 Journal of the American Statistical Association 2 Quaestiones Mathematicae 2 Systems & Control Letters 2 Neural Networks 2 Annals of Operations Research 2 Neural Computation 2 Japan Journal of Industrial and Applied Mathematics 2 Numerical Linear Algebra with Applications 2 Journal of Convex Analysis 2 Engineering Analysis with Boundary Elements 2 Soft Computing 2 Communications in Nonlinear Science and Numerical Simulation 2 RAIRO. Operations Research 2 The ANZIAM Journal 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 International Journal of Computational Methods 2 Acta Numerica 2 Inverse Problems in Science and Engineering 2 Computational & Mathematical Methods in Medicine 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Applied Analysis and Computation 2 SMAI Journal of Computational Mathematics 1 Discrete Applied Mathematics 1 International Journal of Control ...and 49 more Serials
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#### Cited in 37 Fields

 732 Operations research, mathematical programming (90-XX) 503 Numerical analysis (65-XX) 339 Calculus of variations and optimal control; optimization (49-XX) 185 Operator theory (47-XX) 117 Information and communication theory, circuits (94-XX) 106 Computer science (68-XX) 36 Statistics (62-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Systems theory; control (93-XX) 15 Biology and other natural sciences (92-XX) 11 Partial differential equations (35-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Functional analysis (46-XX) 8 Mechanics of deformable solids (74-XX) 5 General topology (54-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-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 Geophysics (86-XX) 1 Mathematics education (97-XX)