A new convergence proof of augmented Lagrangian-based method with full Jacobian decomposition for structured variational inequalities

Augmented Lagrangian ◽

Convergence Proof ◽

Structured Variational Inequalities ◽

Jacobian Decomposition

Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities

Computational Optimization and Applications ◽

10.1007/s10589-007-9109-x ◽

2007 ◽

Vol 42 (2) ◽

pp. 195-212 ◽

Cited By ~ 40

Author(s):

Bing-Sheng He

Keyword(s):

Augmented Lagrangian ◽

Augmented Lagrangian Methods ◽

Lagrangian Methods ◽

Structured Variational Inequalities ◽

Parallel Splitting

An inexact alternating direction method for solving a class of structured variational inequalities

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.01.067 ◽

2013 ◽

Vol 219 (14) ◽

pp. 7837-7846 ◽

Cited By ~ 13

Author(s):

Abdellah Bnouhachem ◽

Hafida Benazza ◽

Mohamed Khalfaoui

Keyword(s):

Alternating Direction ◽

A partial inexact alternating direction method for structured variational inequalities

Optimization ◽

10.1080/02331934.2012.712970 ◽

2012 ◽

Vol 63 (7) ◽

pp. 1043-1055

Author(s):

Zheng Peng ◽

Wenxing Zhu

Keyword(s):

Alternating Direction ◽

An inexact logarithmic-quadratic proximal augmented Lagrangian method for a class of constrained variational inequalities

Mathematical Methods of Operations Research ◽

10.1007/s00186-007-0145-1 ◽

2007 ◽

Vol 66 (2) ◽

pp. 183-201 ◽

Cited By ~ 2

Author(s):

M. Li ◽

H. Shao ◽

B. S. He

Keyword(s):

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method

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

Augmented Lagrangian and exact penalty methods for quasi-variational inequalities

Computational Optimization and Applications ◽

10.1007/s10589-017-9963-0 ◽

2017 ◽

Vol 69 (3) ◽

pp. 801-824 ◽

Cited By ~ 6

Author(s):

Christian Kanzow ◽

Daniel Steck

Keyword(s):

Augmented Lagrangian ◽

Penalty Methods ◽

Exact Penalty ◽

Exact Penalty Methods

An inexact LQP alternating direction method for solving a class of structured variational inequalities

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.12.010 ◽

2014 ◽

Vol 67 (3) ◽

pp. 671-680 ◽

Cited By ~ 10

Author(s):

Abdellah Bnouhachem ◽

M.H. Xu

Keyword(s):

Alternating Direction ◽

A new parallel splitting descent method for structured variational inequalities

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2014.10.461 ◽

2014 ◽

Vol 10 (2) ◽

pp. 461-476 ◽

Cited By ~ 7

Author(s):

Kai Wang ◽

◽

Lingling Xu ◽

Deren Han ◽

Keyword(s):

Descent Method ◽

Structured Variational Inequalities ◽

Parallel Splitting

On the O(1/t) convergence rate of the parallel descent-like method and parallel splitting augmented Lagrangian method for solving a class of variational inequalities

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.11.093 ◽

2013 ◽

Vol 219 (11) ◽

pp. 5862-5869 ◽

Cited By ~ 2

Author(s):

L.S. Hou

Keyword(s):

Convergence Rate ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Parallel Splitting

On descent alternating direction method with LQP regularization for the structured variational inequalities

Optimization Letters ◽

10.1007/s11590-019-01439-4 ◽

2019 ◽

Vol 14 (6) ◽

pp. 1353-1369 ◽

Cited By ~ 1

Author(s):

Abdellah Bnouhachem ◽

Themistocles M. Rassias

Keyword(s):

Alternating Direction ◽