A sequential updating scheme of the Lagrange multiplier for separable convex programming

Yu-Hong Dai; Deren Han; Xiaoming Yuan; Wenxing Zhang

doi:10.1090/mcom/3104

A sequential updating scheme of the Lagrange multiplier for separable convex programming

Mathematics of Computation ◽

10.1090/mcom/3104 ◽

2016 ◽

Vol 86 (303) ◽

pp. 315-343 ◽

Cited By ~ 11

Author(s):

Yu-Hong Dai ◽

Deren Han ◽

Xiaoming Yuan ◽

Wenxing Zhang

Keyword(s):

Convex Programming ◽

Lagrange Multiplier ◽

Separable Convex Programming ◽

Sequential Updating

A faster generalized ADMM-based algorithm using a sequential updating scheme with relaxed stepsizes for multiple-block linearly constrained separable convex programming

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113503 ◽

2021 ◽

pp. 113503

Author(s):

Yuan Shen ◽

Yannian Zuo ◽

Xiayang Zhang

Keyword(s):

Convex Programming ◽

Separable Convex Programming ◽

Linearly Constrained ◽

Sequential Updating

A parallel splitting ALM-based algorithm for separable convex programming

Computational Optimization and Applications ◽

10.1007/s10589-021-00321-3 ◽

2021 ◽

Author(s):

Shengjie Xu ◽

Bingsheng He

Keyword(s):

Convex Programming ◽

Separable Convex Programming ◽

Parallel Splitting

Generalized Peaceman-Rachford splitting method for separable convex programming with applications to image processing

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-015-0922-6 ◽

2015 ◽

Vol 51 (1-2) ◽

pp. 605-622 ◽

Cited By ~ 4

Author(s):

Min Sun ◽

Jing Liu

Keyword(s):

Image Processing ◽

Convex Programming ◽

Splitting Method ◽

Separable Convex Programming

Application of the Strictly Contractive Peaceman-Rachford Splitting Method to Multi-Block Separable Convex Programming

Splitting Methods in Communication, Imaging, Science, and Engineering - Scientific Computation ◽

10.1007/978-3-319-41589-5_6 ◽

2016 ◽

pp. 195-235 ◽

Cited By ~ 2

Author(s):

Bingsheng He ◽

Han Liu ◽

Juwei Lu ◽

Xiaoming Yuan

Keyword(s):

Convex Programming ◽

Splitting Method ◽

Separable Convex Programming

Modified hybrid decomposition of the augmented Lagrangian method with larger step size for three-block separable convex programming

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1863-z ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Min Sun ◽

Yiju Wang

Keyword(s):

Convex Programming ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Step Size ◽

Separable Convex Programming ◽

Hybrid Decomposition

A splitting method for separable convex programming

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drt060 ◽

2014 ◽

Vol 35 (1) ◽

pp. 394-426 ◽

Cited By ~ 38

Author(s):

B. He ◽

M. Tao ◽

X. Yuan

Keyword(s):

Convex Programming ◽

Splitting Method ◽

Separable Convex Programming

Convergence Rate Analysis for the Alternating Direction Method of Multipliers with a Substitution Procedure for Separable Convex Programming

Mathematics of Operations Research ◽

10.1287/moor.2016.0822 ◽

2017 ◽

Vol 42 (3) ◽

pp. 662-691 ◽

Cited By ~ 15

Author(s):

Bingsheng He ◽

Min Tao ◽

Xiaoming Yuan

Keyword(s):

Convergence Rate ◽

Convex Programming ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Rate Analysis ◽

Alternating Direction ◽

Separable Convex Programming ◽

Substitution Procedure ◽

Convergence Rate Analysis

The augmented Lagrangian method with full Jacobian decomposition and logarithmic-quadratic proximal regularization for multiple-block separable convex programming

SMAI Journal of Computational Mathematics ◽

10.5802/smai-jcm.30 ◽

2018 ◽

Vol 4 ◽

pp. 81-120

Author(s):

Min Li ◽

Xiaoming Yuan

Keyword(s):

Convex Programming ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Separable Convex Programming ◽

Proximal Regularization ◽

Jacobian Decomposition

A study on augmented Lagrangian-based splitting methods for separable convex programming

10.32657/10356/73066 ◽

2017 ◽

Author(s):

◽

Kai Wang

Keyword(s):

Convex Programming ◽

Augmented Lagrangian ◽

Splitting Methods ◽

Separable Convex Programming

A proximal splitting method for separable convex programming and its application to compressive sensing

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.009.02.05 ◽

2016 ◽

Vol 09 (02) ◽

pp. 392-403 ◽

Cited By ~ 2

Author(s):

Hongchun Sun ◽

Min Sun ◽

Houchun Zhou

Keyword(s):

Compressive Sensing ◽

Convex Programming ◽

Splitting Method ◽

Proximal Splitting Method ◽

Separable Convex Programming