# zbMATH — the first resource for mathematics

## Yuan, Xiaoming

Compute Distance To:
 Author ID: yuan.xiaoming Published as: Yuan, X. M.; Yuan, X.-M.; Yuan, Xiao-Ming; Yuan, Xiao-ming; Yuan, XiaoMing; Yuan, Xiaoming Homepage: http://www.math.hkbu.edu.hk/~xmyuan/ External Links: ORCID · dblp · GND
 Documents Indexed: 128 Publications since 1999
all top 5

#### Co-Authors

 5 single-authored 40 He, Bingsheng 15 Tao, Min 14 Li, Min 12 Han, Deren 8 Zhang, Wenxing 7 Ng, Michael Kwok-Po 6 Liao, Li-Zhi 4 Chan, Raymond Hon-Fu 4 Chen, Caihua 4 Li, Xinxin 4 Liu, Han 4 Ma, Feng 4 Tian, Wenyi 4 Yang, Hai 4 Yang, Junfeng 3 Cai, Xingju 3 Jiang, Jianlin 3 Xu, Minghua 3 Zeng, Shangzhi 3 Zhang, Jin 2 Bauschke, Heinz H. 2 Gu, GuoYong 2 Liu, Yongchao 2 Qi, Houduo 2 Shen, Wei 2 Song, YongCun 2 Wang, Fan 2 Wang, Shawn Xianfu 2 Wang, Xiangfeng 2 Xu, Ya 2 Yang, Zhenhuan 2 Ye, Jane 2 Ying, Yiming 2 Yue, Hangrui 2 Zhang, Jianzhong 1 Bai, Zhengjian 1 Chen, Chuan 1 Chen, Meixiang 1 Corman, Etienne 1 Dai, Yu-Hong 1 Fang, Ethan X. 1 Fu, Xiaoling 1 Glowinski, Roland 1 Guo, Ke 1 He, Hongjin 1 Hou, Liusheng 1 Li, Xingguo 1 Li, Xutao 1 Lu, Juwei 1 Mo, Lili 1 Ngan, Henry Y. T. 1 Tang, Qiulin 1 Wang, Zhaoran 1 Weiss, Pierre 1 Wen, Zaiwen 1 Wu, Meiyun 1 Xiao, Yunhai 1 Xiu, Naihua 1 Xu, Hong-Kun 1 Xu, Wei 1 Yang, Qingzhi 1 Yang, Weihong 1 Yang, Zhenhua 1 Ye, Caihong 1 Ye, Yinyu 1 Yin, Wotao 1 You, Yanfei 1 Zhao, Tuo 1 Zhou, Li 1 Zhou, Xiaoye
all top 5

#### Serials

 14 Computational Optimization and Applications 8 Journal of Optimization Theory and Applications 7 SIAM Journal on Optimization 7 SIAM Journal on Imaging Sciences 5 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 4 Journal of Scientific Computing 4 European Journal of Operational Research 4 Mathematical Programming. Series A. Series B 4 SIAM Journal on Scientific Computing 4 Pacific Journal of Optimization 3 IMA Journal of Numerical Analysis 3 Inverse Problems 3 Numerische Mathematik 3 Journal of the Operations Research Society of China 2 Journal of Mathematical Analysis and Applications 2 Journal of Approximation Theory 2 Mathematics of Operations Research 2 Optimization 2 Numerical Linear Algebra with Applications 2 Optimization Methods & Software 2 Journal of Machine Learning Research (JMLR) 2 Journal of Industrial and Management Optimization 2 Science China. Mathematics 2 SMAI Journal of Computational Mathematics 1 Journal of Computational and Applied Mathematics 1 Operations Research Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Multidimensional Systems and Signal Processing 1 IEEE Transactions on Signal Processing 1 Journal of Global Optimization 1 Linear Algebra and its Applications 1 Computational Statistics and Data Analysis 1 Journal of Mathematical Imaging and Vision 1 Advances in Computational Mathematics 1 Journal of Yangzhou University. Natural Science Edition 1 IEEE Transactions on Image Processing 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Networks and Spatial Economics 1 Frontiers of Mathematics in China 1 Inverse Problems and Imaging 1 Mathematical Programming Computation 1 International Journal of Mathematical Modelling and Numerical Optimisation 1 Numerical Algebra, Control and Optimization 1 East Asian Journal on Applied Mathematics
all top 5

#### Fields

 102 Operations research, mathematical programming (90-XX) 59 Numerical analysis (65-XX) 22 Information and communication theory, circuits (94-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 10 Computer science (68-XX) 7 Operator theory (47-XX) 5 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 2 Systems theory; control (93-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH

105 Publications have been cited 2,184 times in 905 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
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
Recovering low-rank and sparse components of matrices from incomplete and noisy observations. Zbl 1218.90115
Tao, Min; Yuan, Xiaoming
2011
Convergence analysis of primal-dual algorithms for a saddle-point problem: from contraction perspective. Zbl 1250.90066
He, Bingsheng; Yuan, Xiaoming
2012
Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization. Zbl 1263.90062
Yang, Junfeng; Yuan, Xiaoming
2013
Solving constrained total-variation image restoration and reconstruction problems via alternating direction methods. Zbl 1217.65071
Ng, Michael K.; Weiss, Pierre; Yuan, Xiaoming
2010
On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers. Zbl 1320.90060
He, Bingsheng; Yuan, Xiaoming
2015
A note on the alternating direction method of multipliers. Zbl 1255.90093
Han, Deren; Yuan, Xiaoming
2012
An approximate proximal-extragradient type method for monotone variational inequalities. Zbl 1068.65087
He, Bing-sheng; Yang, Zhen-hua; Yuan, Xiao-ming
2004
Constrained total variation deblurring models and fast algorithms based on alternating direction method of multipliers. Zbl 1279.68322
Chan, Raymond H.; Tao, Min; Yuan, Xiaoming
2013
A strictly contractive Peaceman-Rachford splitting method for convex programming. Zbl 1327.90210
He, Bingsheng; Liu, Han; Wang, Zhaoran; Yuan, Xiaoming
2014
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
2012
Local linear convergence of the alternating direction method of multipliers for quadratic programs. Zbl 1285.90033
Han, Deren; Yuan, Xiaoming
2013
On full Jacobian decomposition of the augmented Lagrangian method for separable convex programming. Zbl 1327.90209
He, Bingsheng; Hou, Liusheng; Yuan, Xiaoming
2015
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 splitting method for separable convex programming. Zbl 1310.65062
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2015
An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing. Zbl 1311.90100
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
2014
The linearized alternating direction method of multipliers for Dantzig selector. Zbl 1263.90061
Wang, Xiangfeng; Yuan, Xiaoming
2012
Alternating direction method for image inpainting in wavelet domains. Zbl 1234.68448
Chan, Raymond H.; Yang, Junfeng; Yuan, Xiaoming
2011
Sparse and low-rank matrix decomposition via alternating direction method. Zbl 1269.90061
Yuan, Xiaoming; Yang, Junfeng
2013
Alternating direction method for covariance selection models. Zbl 1255.65031
Yuan, Xiaoming
2012
Solving large-scale least squares semidefinite programming by alternating direction methods. Zbl 1243.49039
He, Bingsheng; Xu, Minghua; Yuan, Xiaoming
2011
A generalized proximal point algorithm and its convergence rate. Zbl 1311.90099
Corman, Etienne; Yuan, Xiaoming
2014
On the $$O(1/t)$$ convergence rate of alternating direction method with logarithmic-quadratic proximal regularization. Zbl 1263.90103
Tao, Min; Yuan, Xiaoming
2012
Inexact alternating direction methods for image recovery. Zbl 1234.94013
Ng, Michael K.; Wang, Fan; Yuan, Xiaoming
2011
An LQP-based decomposition method for solving a class of variational inequalities. Zbl 1241.65063
Yuan, Xiaoming; Li, Min
2011
A descent method for structured monotone variational inequalities. Zbl 1196.90118
Ye, Caihong; Yuan, Xiaoming
2007
Convergence study on the symmetric version of ADMM with larger step sizes. Zbl 1381.90066
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2016
On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function. Zbl 1372.90079
Cai, Xingju; Han, Deren; Yuan, Xiaoming
2017
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
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
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 ADM-based splitting method for separable convex programming. Zbl 1269.90078
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing; Cai, Xingju
2013
An LQP based interior prediciton-correction method for nonlinear complementarity problems. Zbl 1109.65054
He, Bingsheng; Liao, Lizhi; Yuan, Xiaoming
2006
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 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 logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities. Zbl 1121.90119
He, Bing-Sheng; Xu, Ya; Yuan, Xiao-Ming
2006
On the convergence rate of Douglas-Rachford operator splitting method. Zbl 1327.90211
He, Bingsheng; Yuan, Xiaoming
2015
A customized Douglas-Rachford splitting algorithm for separable convex minimization with linear constraints. Zbl 1295.90046
Han, Deren; He, Hongjin; Yang, Hai; Yuan, Xiaoming
2014
A customized proximal point algorithm for convex minimization with linear constraints. Zbl 1287.90048
He, Bingsheng; Yuan, Xiaoming; Zhang, Wenxing
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
Coupled variational image decomposition and restoration model for blurred cartoon-plus-texture images with missing pixels. Zbl 1373.94301
Ng, Michael K.; 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
Computing the nearest Euclidean distance matrix with low embedding dimensions. Zbl 1304.49051
Qi, Hou-Duo; Yuan, Xiaoming
2014
New parallel descent-like method for solving a class of variational inequalities. Zbl 1197.90335
Jiang, Z. K.; Yuan, X. M.
2010
A heuristic algorithm for constrained multi-source Weber problem - the variational inequality approach. Zbl 1149.90091
Jiang, Jian-Lin; Yuan, Xiao-Ming
2008
Linearized alternating direction method for constrained linear least-squares problem. Zbl 1284.68624
Chan, Raymond H.; Tao, Min; Yuan, Xiaoming
2012
A proximal strictly contractive Peaceman-Rachford splitting method for convex programming with applications to imaging. Zbl 1327.90215
Li, Xinxin; Yuan, Xiaoming
2015
The flare package for high dimensional linear regression and precision matrix estimation in R. Zbl 1337.62007
Li, Xingguo; Zhao, Tuo; Yuan, Xiaoming; Liu, Han
2015
A Lagrangian dual approach to the single-source localization problem. Zbl 1393.94401
Qi, Hou-Duo; Xiu, Naihua; Yuan, Xiaoming
2013
An efficient simultaneous method for the constrained multiple-sets split feasibility problem. Zbl 1282.90131
Zhang, Wenxing; Han, Deren; Yuan, Xiaoming
2012
Convergence analysis of Douglas-Rachford splitting method for “strongly + weakly” convex programming. Zbl 1368.47038
Guo, Ke; Han, Deren; Yuan, Xiaoming
2017
Bregman distances and Chebyshev sets. Zbl 1175.49017
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
2009
The prediction-correction approach to nonlinear complementarity problems. Zbl 1102.90064
Yuan, Xiao-Ming
2007
A hybrid inexact logarithmic-quadratic proximal method for nonlinear complementarity problems. Zbl 1104.90049
Xu, Ya; He, Bingsheng; Yuan, Xiaoming
2006
Linearized alternating direction method of multipliers for sparse group and fused LASSO models. Zbl 06984065
Li, Xinxin; Mo, Lili; Yuan, Xiaoming; Zhang, Jianzhong
2014
The GUS-property of second-order cone linear complementarity problems. Zbl 1291.90268
Yang, Wei Hong; Yuan, Xiaoming
2013
A modified descent method for co-coercive variational inequalities. Zbl 1148.90334
Li, Min; Liao, Li-Zhi; Yuan, Xiao-Ming
2008
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 with logarithmic-quadratic proximal regularization for convex programming. Zbl 1329.90106
Li, Min; Yuan, Xiaoming
2015
An improved proximal alternating direction method for monotone variational inequalities with separable structure. Zbl 1219.90174
Yuan, Xiaoming
2011
An improved general extra-gradient method with refined step size for nonlinear monotone variational inequalities. Zbl 1128.49026
Xu, M. H.; Yuan, X. M.; Huang, Q. L.
2007
Median filtering-based methods for static background extraction from surveillance video. Zbl 1349.94023
Li, Xinxin; Ng, Michael K.; Yuan, Xiaoming
2015
Inexact alternating direction methods of multipliers with logarithmic-quadratic proximal regularization. Zbl 1282.90197
Li, Min; Liao, Li-Zhi; Yuan, Xiaoming
2013
Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure. Zbl 1280.65036
Bai, Zhengjian; Chen, Meixiang; Yuan, Xiaoming
2013
An accelerated inexact proximal point algorithm for convex minimization. Zbl 1256.90033
He, Bingsheng; Yuan, Xiaoming
2012
An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures. Zbl 1269.90119
Tao, Min; Yuan, Xiaoming
2012
Proximal point algorithms for general variational inequalities. Zbl 1198.90374
Li, M.; Liao, L. Z.; Yuan, X. M.
2009
An algorithmic framework of generalized primal-dual hybrid gradient methods for saddle point problems. Zbl 1387.90186
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2017
A sequential updating scheme of the Lagrange multiplier for separable convex programming. Zbl 1348.90520
Dai, Yu-Hong; Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
2017
Convergence analysis of the generalized alternating direction method of multipliers with logarithmic-quadratic proximal regularization. Zbl 1307.90138
Li, Min; Li, Xinxin; Yuan, Xiaoming
2015
A unified framework of some proximal-based decomposition methods for monotone variational inequalities with separable structures. Zbl 1286.90149
He, Bingsheng; Yuan, Xiaoming
2012
Alternating algorithms for total variation image reconstruction from random projections. Zbl 1260.94023
Xiao, Yunhai; Yang, Junfeng; Yuan, Xiaoming
2012
Extended LQP method for monotone nonlinear complementarity problems. Zbl 1146.90078
Bnouhachem, A.; Yuan, X. M.
2007
A Barzilai-Borwein-based heuristic algorithm for locating multiple facilities with regional demand. Zbl 1243.90097
Jiang, Jianlin; Yuan, Xiaoming
2012
On the optimal linear convergence rate of a generalized proximal point algorithm. Zbl 06858875
Tao, Min; Yuan, Xiaoming
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
Bregman distances and Klee sets. Zbl 1172.52005
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
2009
A class of ADMM-based algorithms for three-block separable convex programming. Zbl 1393.90085
He, Bingsheng; Yuan, Xiaoming
2018
Linearized primal-dual methods for linear inverse problems with total variation regularization and finite element discretization. Zbl 1356.65151
Tian, Wenyi; Yuan, Xiaoming
2016
Further study on the convergence rate of alternating direction method of multipliers with logarithmic-quadratic proximal regularization. Zbl 1327.90199
Chen, Caihua; Li, Min; Yuan, Xiaoming
2015
Solving over-production and supply-guarantee problems in economic equilibria. Zbl 1213.91119
He, Bing-sheng; Xu, Wei; Yang, Hai; Yuan, Xiao-Ming
2011
Fast minimization methods for solving constrained total-variation superresolution image reconstruction. Zbl 1207.94016
Ng, Michael; Wang, Fan; Yuan, Xiao-Ming
2011
An improved Goldstein’s type method for a class of variant variational inequalities. Zbl 1162.65038
Li, Min; Yuan, Xiao-Ming
2008
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
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 Glowinski’s open question on the alternating direction method of multipliers. Zbl 1407.90259
Tao, Min; Yuan, Xiaoming
2018
The generalized proximal point algorithm with step size 2 is not necessarily convergent. Zbl 1393.90088
Tao, Min; Yuan, Xiaoming
2018
Total variation based tensor decomposition for multi-dimensional data with time dimension. Zbl 1349.65141
Chen, Chuan; Li, Xutao; Ng, Michael K.; Yuan, Xiaoming
2015
A phase model for point spread function estimation in ground-based astronomy. Zbl 1303.90104
Chan, Raymond Honfu; Yuan, Xiaoming; Zhang, Wenxing
2013
Solving a class of matrix minimization problems by linear variational inequality approaches. Zbl 1213.65089
Tao, Min; Yuan, Xiao-Ming; He, Bing-sheng
2011
The improvement with relative errors of He et al.’s inexact alternating direction method for monotone variational inequalities. Zbl 1081.49010
Yuan, Xiao-Ming
2005
Convergence analysis of primal-dual based methods for total variation minimization with finite element approximation. Zbl 1397.65196
Tian, WenYi; Yuan, Xiaoming
2018
Convergence analysis of the direct extension of ADMM for multiple-block separable convex minimization. Zbl 1393.90089
Tao, Min; Yuan, Xiaoming
2018
Partial error bound conditions and the linear convergence rate of the alternating direction method of multipliers. Zbl 1402.90121
Liu, Yongchao; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
2018
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
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
On the optimal linear convergence rate of a generalized proximal point algorithm. Zbl 06858875
Tao, Min; Yuan, Xiaoming
2018
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
On Glowinski’s open question on the alternating direction method of multipliers. Zbl 1407.90259
Tao, Min; Yuan, Xiaoming
2018
The generalized proximal point algorithm with step size 2 is not necessarily convergent. Zbl 1393.90088
Tao, Min; Yuan, Xiaoming
2018
Convergence analysis of primal-dual based methods for total variation minimization with finite element approximation. Zbl 1397.65196
Tian, WenYi; Yuan, Xiaoming
2018
Convergence analysis of the direct extension of ADMM for multiple-block separable convex minimization. Zbl 1393.90089
Tao, Min; Yuan, Xiaoming
2018
Partial error bound conditions and the linear convergence rate of the alternating direction method of multipliers. Zbl 1402.90121
Liu, Yongchao; Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin
2018
On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function. Zbl 1372.90079
Cai, Xingju; Han, Deren; Yuan, Xiaoming
2017
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
Convergence analysis of Douglas-Rachford splitting method for “strongly + weakly” convex programming. Zbl 1368.47038
Guo, Ke; Han, Deren; 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
A sequential updating scheme of the Lagrange multiplier for separable convex programming. Zbl 1348.90520
Dai, Yu-Hong; Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
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
Linearized primal-dual methods for linear inverse problems with total variation regularization and finite element discretization. Zbl 1356.65151
Tian, Wenyi; 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
A proximal strictly contractive Peaceman-Rachford splitting method for convex programming with applications to imaging. Zbl 1327.90215
Li, Xinxin; Yuan, Xiaoming
2015
The flare package for high dimensional linear regression and precision matrix estimation in R. Zbl 1337.62007
Li, Xingguo; Zhao, Tuo; Yuan, Xiaoming; Liu, Han
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 with logarithmic-quadratic proximal regularization for convex programming. Zbl 1329.90106
Li, Min; Yuan, Xiaoming
2015
Median filtering-based methods for static background extraction from surveillance video. Zbl 1349.94023
Li, Xinxin; Ng, Michael K.; Yuan, Xiaoming
2015
Convergence analysis of the generalized alternating direction method of multipliers with logarithmic-quadratic proximal regularization. Zbl 1307.90138
Li, Min; Li, Xinxin; Yuan, Xiaoming
2015
Further study on the convergence rate of alternating direction method of multipliers with logarithmic-quadratic proximal regularization. Zbl 1327.90199
Chen, Caihua; Li, Min; Yuan, Xiaoming
2015
Total variation based tensor decomposition for multi-dimensional data with time dimension. Zbl 1349.65141
Chen, Chuan; Li, Xutao; Ng, Michael K.; 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
An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing. Zbl 1311.90100
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
2014
A generalized proximal point algorithm and its convergence rate. Zbl 1311.90099
Corman, Etienne; Yuan, Xiaoming
2014
On the convergence of primal-dual hybrid gradient algorithm. Zbl 1308.90129
He, Bingsheng; You, Yanfei; Yuan, Xiaoming
2014
A customized Douglas-Rachford splitting algorithm for separable convex minimization with linear constraints. Zbl 1295.90046
Han, Deren; He, Hongjin; Yang, Hai; 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
Computing the nearest Euclidean distance matrix with low embedding dimensions. Zbl 1304.49051
Qi, Hou-Duo; Yuan, Xiaoming
2014
Linearized alternating direction method of multipliers for sparse group and fused LASSO models. Zbl 06984065
Li, Xinxin; Mo, Lili; Yuan, Xiaoming; Zhang, Jianzhong
2014
Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization. Zbl 1263.90062
Yang, Junfeng; Yuan, Xiaoming
2013
Constrained total variation deblurring models and fast algorithms based on alternating direction method of multipliers. Zbl 1279.68322
Chan, Raymond H.; Tao, Min; Yuan, Xiaoming
2013
Local linear convergence of the alternating direction method of multipliers for quadratic programs. Zbl 1285.90033
Han, Deren; Yuan, Xiaoming
2013
Sparse and low-rank matrix decomposition via alternating direction method. Zbl 1269.90061
Yuan, Xiaoming; Yang, Junfeng
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
An ADM-based splitting method for separable convex programming. Zbl 1269.90078
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing; Cai, Xingju
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
Coupled variational image decomposition and restoration model for blurred cartoon-plus-texture images with missing pixels. Zbl 1373.94301
Ng, Michael K.; 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
A Lagrangian dual approach to the single-source localization problem. Zbl 1393.94401
Qi, Hou-Duo; Xiu, Naihua; Yuan, Xiaoming
2013
The GUS-property of second-order cone linear complementarity problems. Zbl 1291.90268
Yang, Wei Hong; Yuan, Xiaoming
2013
Inexact alternating direction methods of multipliers with logarithmic-quadratic proximal regularization. Zbl 1282.90197
Li, Min; Liao, Li-Zhi; Yuan, Xiaoming
2013
Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure. Zbl 1280.65036
Bai, Zhengjian; Chen, Meixiang; Yuan, Xiaoming
2013
A phase model for point spread function estimation in ground-based astronomy. Zbl 1303.90104
Chan, Raymond Honfu; Yuan, Xiaoming; Zhang, Wenxing
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
A note on the alternating direction method of multipliers. Zbl 1255.90093
Han, Deren; Yuan, Xiaoming
2012
Matrix completion via an alternating direction method. Zbl 1236.65043
Chen, Caihua; He, Bingsheng; Yuan, Xiaoming
2012
The linearized alternating direction method of multipliers for Dantzig selector. Zbl 1263.90061
Wang, Xiangfeng; Yuan, Xiaoming
2012
Alternating direction method for covariance selection models. Zbl 1255.65031
Yuan, Xiaoming
2012
On the $$O(1/t)$$ convergence rate of alternating direction method with logarithmic-quadratic proximal regularization. Zbl 1263.90103
Tao, Min; Yuan, Xiaoming
2012
Linearized alternating direction method for constrained linear least-squares problem. Zbl 1284.68624
Chan, Raymond H.; Tao, Min; Yuan, Xiaoming
2012
An efficient simultaneous method for the constrained multiple-sets split feasibility problem. Zbl 1282.90131
Zhang, Wenxing; Han, Deren; Yuan, Xiaoming
2012
An accelerated inexact proximal point algorithm for convex minimization. Zbl 1256.90033
He, Bingsheng; Yuan, Xiaoming
2012
An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures. Zbl 1269.90119
Tao, Min; 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
Alternating algorithms for total variation image reconstruction from random projections. Zbl 1260.94023
Xiao, Yunhai; Yang, Junfeng; Yuan, Xiaoming
2012
A Barzilai-Borwein-based heuristic algorithm for locating multiple facilities with regional demand. Zbl 1243.90097
Jiang, Jianlin; Yuan, Xiaoming
2012
Recovering low-rank and sparse components of matrices from incomplete and noisy observations. Zbl 1218.90115
Tao, Min; Yuan, Xiaoming
2011
Alternating direction method for image inpainting in wavelet domains. Zbl 1234.68448
Chan, Raymond H.; Yang, Junfeng; Yuan, Xiaoming
2011
Solving large-scale least squares semidefinite programming by alternating direction methods. Zbl 1243.49039
He, Bingsheng; Xu, Minghua; Yuan, Xiaoming
2011
Inexact alternating direction methods for image recovery. Zbl 1234.94013
Ng, Michael K.; Wang, Fan; Yuan, Xiaoming
2011
An LQP-based decomposition method for solving a class of variational inequalities. Zbl 1241.65063
Yuan, Xiaoming; Li, Min
2011
An improved proximal alternating direction method for monotone variational inequalities with separable structure. Zbl 1219.90174
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
Fast minimization methods for solving constrained total-variation superresolution image reconstruction. Zbl 1207.94016
Ng, Michael; Wang, Fan; 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
Some Goldstein’s type methods for co-coercive variant variational inequalities. Zbl 1208.65093
Li, Min; Liao, L.-Z.; Yuan, X. M.
2011
Solving constrained total-variation image restoration and reconstruction problems via alternating direction methods. Zbl 1217.65071
Ng, Michael K.; Weiss, Pierre; Yuan, Xiaoming
2010
New parallel descent-like method for solving a class of variational inequalities. Zbl 1197.90335
Jiang, Z. K.; Yuan, X. M.
2010
An improved LQP-based method for solving nonlinear complementarity problems. Zbl 1186.65076
Li, Min; Yuan, Xiao-Ming
2010
Bregman distances and Chebyshev sets. Zbl 1175.49017
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
2009
Proximal point algorithms for general variational inequalities. Zbl 1198.90374
Li, M.; Liao, L. Z.; Yuan, X. M.
2009
Bregman distances and Klee sets. Zbl 1172.52005
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming
2009
A heuristic algorithm for constrained multi-source Weber problem - the variational inequality approach. Zbl 1149.90091
Jiang, Jian-Lin; Yuan, Xiao-Ming
2008
A modified descent method for co-coercive variational inequalities. Zbl 1148.90334
Li, Min; Liao, Li-Zhi; Yuan, Xiao-Ming
2008
An improved Goldstein’s type method for a class of variant variational inequalities. Zbl 1162.65038
Li, Min; Yuan, Xiao-Ming
2008
A new criterion for the inexact logarithmic-quadratic proximal method and its derived hybrid methods. Zbl 1138.90035
Yuan, Xiao-Ming
2008
An APPA-based descent method with optimal step-sizes for monotone variational inequalities. Zbl 1149.65050
Li, Min; Yuan, Xiao-Ming
2008
A descent method for structured monotone variational inequalities. Zbl 1196.90118
Ye, Caihong; Yuan, Xiaoming
2007
The prediction-correction approach to nonlinear complementarity problems. Zbl 1102.90064
Yuan, Xiao-Ming
2007
An improved general extra-gradient method with refined step size for nonlinear monotone variational inequalities. Zbl 1128.49026
Xu, M. H.; Yuan, X. M.; Huang, Q. L.
2007
Extended LQP method for monotone nonlinear complementarity problems. Zbl 1146.90078
Bnouhachem, A.; Yuan, X. M.
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
...and 5 more Documents
all top 5

#### Cited by 1,359 Authors

 65 Yuan, Xiaoming 39 Han, Deren 37 Bnouhachem, Abdellah 30 He, Bingsheng 23 Huang, Ting-Zhu 18 Noor, Muhammad Aslam 17 Cai, Xingju 16 He, Hongjin 15 Ma, Shiqian 15 Sun, Min 13 Ma, Feng 13 Zhang, Wenxing 13 Zhao, Xile 12 Li, Min 12 Tao, Min 12 Yao, Jen-Chih 11 Liu, Sanyang 11 Zhang, Shuzhong 10 Shehu, Yekini 10 Xiao, Yunhai 9 Fu, Xiaoling 9 Ng, Michael Kwok-Po 9 Sun, Defeng 9 Tran Dinh Quoc 9 Yin, Wotao 8 Kong, Lingchen 8 Li, Jicheng 8 Liu, Jing 8 Toh, Kimchuan 8 Wang, Kai 8 Wu, Zhongming 8 Xu, Yangyang 7 Bai, Jianchao 7 Chen, Caihua 7 Gonçalves, Max L. N. 7 Liu, Jun 7 Lv, Xiaoguang 7 Ma, Tian-Hui 7 Ni, Mingfang 7 Peng, Jigen 7 Peng, Zheng 7 Shen, Yuan 7 Wang, Xiangfeng 7 Wu, Chunlin 7 Xiu, Naihua 7 Xu, Minghua 7 Yao, Yonghong 6 Ceng, Lu-Chuan 6 Chang, Xiaokai 6 Cheng, Lizhi 6 Goldfarb, Donald 6 Khalfaoui, Mohamed 6 Melo, Jefferson G. 6 Pang, Zhifeng 6 Peng, Jianwen 6 Pock, Thomas 6 Pong, Ting Kei 6 Valkonen, Tuomo 6 Wang, Si 6 Wen, Zaiwen 6 Xu, Hong-Kun 6 Yang, Junfeng 6 Yang, Weihong 6 Yu, Zhanke 6 Zeng, Tie Yong 5 Ansari, Qamrul Hasan 5 Bai, Yanqin 5 Chan, Raymond Hon-Fu 5 Gu, GuoYong 5 Guo, Ke 5 He, Songnian 5 Jia, ZeHui 5 Jiang, Jianlin 5 Jiao, Yuling 5 Liao, Anping 5 Liao, Li-Zhi 5 Lin, Tianyi 5 Liou, Yeongcheng 5 Luo, Zhi-Quan 5 Mei, Jin-Jin 5 Sheng, Zhaohan 5 Sun, Hongchun 5 Tang, Yuchao 5 Wu, Soon-Yi 5 Xu, Lingling 5 Yang, Yufei 5 Yu, Yongchao 5 Zhang, Lei-Hong 5 Zhao, Kang 5 Zhou, Yan 4 Bi, Shujun 4 Bredies, Kristian 4 Chen, Xiaojun 4 Cheng, Cao-Zong 4 Desai, Jitamitra 4 Hong, Mingyi 4 Iyiola, Olaniyi Samuel 4 Kanzow, Christian 4 Lan, Guanghui 4 Lanza, Alessandro ...and 1,259 more Authors
all top 5

#### Cited in 148 Serials

 55 Computational Optimization and Applications 38 Applied Mathematics and Computation 36 Journal of Scientific Computing 35 Journal of Optimization Theory and Applications 35 SIAM Journal on Optimization 28 SIAM Journal on Imaging Sciences 27 Journal of Computational and Applied Mathematics 27 Optimization 24 Mathematical Programming. Series A. Series B 23 Numerical Algorithms 23 Journal of Inequalities and Applications 21 Journal of the Operations Research Society of China 20 Mathematical Problems in Engineering 18 Journal of Global Optimization 18 Journal of Mathematical Imaging and Vision 18 Abstract and Applied Analysis 18 Journal of Industrial and Management Optimization 17 Computers & Mathematics with Applications 17 Optimization Letters 15 Optimization Methods & Software 14 Advances in Computational Mathematics 13 Inverse Problems and Imaging 11 Information Sciences 10 Mathematics of Computation 10 Applied Numerical Mathematics 9 European Journal of Operational Research 9 Journal of Applied Mathematics and Computing 9 Science China. Mathematics 8 Inverse Problems 8 Asia-Pacific Journal of Operational Research 8 Applied Mathematical Modelling 8 SIAM Journal on Scientific Computing 8 Computational and Applied Mathematics 8 Journal of Machine Learning Research (JMLR) 7 Multidimensional Systems and Signal Processing 7 International Journal of Computer Mathematics 7 Computational Statistics and Data Analysis 7 Fixed Point Theory and Applications 7 Frontiers of Mathematics in China 7 Mathematical Programming Computation 6 Journal of the Franklin Institute 6 SIAM Journal on Numerical Analysis 6 Linear Algebra and its Applications 6 Journal of Applied Mathematics 6 Numerical Algebra, Control and Optimization 5 Journal of Mathematical Analysis and Applications 5 Mathematics of Operations Research 4 International Journal of Modern Physics B 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Numerische Mathematik 4 Neural Networks 4 Numerical Linear Algebra with Applications 4 International Journal of Computer Vision 4 Networks and Spatial Economics 3 Calcolo 3 Journal of Approximation Theory 3 Operations Research Letters 3 Circuits, Systems, and Signal Processing 3 Bulletin of the Iranian Mathematical Society 3 Machine Learning 3 Journal of Inverse and Ill-Posed Problems 3 Acta Mathematica Sinica. English Series 3 Electronic Journal of Statistics 3 Journal of Nonlinear Science and Applications 3 Advances in Operations Research 3 Computer Science Review 2 Bulletin of the Australian Mathematical Society 2 Automatica 2 Journal of the American Statistical Association 2 Numerical Functional Analysis and Optimization 2 Systems & Control Letters 2 Computers & Operations Research 2 Neural Computation 2 Journal of Statistical Computation and Simulation 2 Journal of Convex Analysis 2 Soft Computing 2 Mathematical Methods of Operations Research 2 Discrete Dynamics in Nature and Society 2 Optimization and Engineering 2 RAIRO. Operations Research 2 Foundations of Computational Mathematics 2 Acta Numerica 2 Journal of Fixed Point Theory and Applications 2 Computational & Mathematical Methods in Medicine 2 Discrete and Continuous Dynamical Systems. Series S 2 Algorithms 2 Journal of Applied Analysis and Computation 2 East Asian Journal on Applied Mathematics 2 Journal of Nonlinear and Variational Analysis 2 SMAI Journal of Computational Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Linear and Multilinear Algebra 1 Psychometrika 1 Annals of the Institute of Statistical Mathematics 1 Applied Mathematics and Optimization 1 BIT 1 Journal of Applied Probability 1 Journal of Multivariate Analysis 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Optimal Control Applications & Methods ...and 48 more Serials
all top 5

#### Cited in 39 Fields

 589 Operations research, mathematical programming (90-XX) 420 Numerical analysis (65-XX) 191 Calculus of variations and optimal control; optimization (49-XX) 168 Information and communication theory, circuits (94-XX) 124 Computer science (68-XX) 92 Operator theory (47-XX) 62 Statistics (62-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 17 Biology and other natural sciences (92-XX) 16 Systems theory; control (93-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Convex and discrete geometry (52-XX) 8 Functional analysis (46-XX) 7 Partial differential equations (35-XX) 6 Ordinary differential equations (34-XX) 6 Approximations and expansions (41-XX) 5 Real functions (26-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Mathematics education (97-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX)