Rate of Convergence Analysis of Decomposition Methods Based on the Proximal Method of Multipliers for Convex Minimization

SIAM Journal on Optimization ◽

10.1137/130910774 ◽

2014 ◽

Vol 24 (1) ◽

pp. 269-297 ◽

Author(s):

Ron Shefi ◽

Marc Teboulle

Keyword(s):

Rate Of Convergence ◽

Convergence Analysis ◽

Decomposition Methods ◽

Convex Minimization ◽

Method Of Multipliers ◽

Proximal Method

Download Full-text

The rate of convergence of proximal method of multipliers for nonlinear semidefinite programming

Optimization ◽

10.1080/02331934.2019.1647200 ◽

2019 ◽

Vol 69 (4) ◽

pp. 875-900

Author(s):

Yule Zhang ◽

Jia Wu ◽

Liwei Zhang

Keyword(s):

Semidefinite Programming ◽

Rate Of Convergence ◽

Method Of Multipliers ◽

Proximal Method ◽

Nonlinear Semidefinite Programming

Download Full-text

The rate of convergence of proximal method of multipliers for second-order cone optimization problems

Optimization Letters ◽

10.1007/s11590-020-01607-x ◽

2020 ◽

Author(s):

Li Chu ◽

Bo Wang ◽

Liwei Zhang ◽

Hongwei Zhang

Keyword(s):

Rate Of Convergence ◽

Optimization Problems ◽

Second Order ◽

Method Of Multipliers ◽

Proximal Method ◽

Second Order Cone

Download Full-text

The rate of convergence of proximal method of multipliers for equality constrained optimization problems

Optimization Letters ◽

10.1007/s11590-019-01449-2 ◽

2019 ◽

Vol 14 (6) ◽

pp. 1599-1613 ◽

Author(s):

Yule Zhang ◽

Jia Wu ◽

Liwei Zhang

Keyword(s):

Constrained Optimization ◽

Rate Of Convergence ◽

Optimization Problems ◽

Method Of Multipliers ◽

Proximal Method ◽

Constrained Optimization Problems ◽

Equality Constrained Optimization

Download Full-text

Rate of convergence analysis of dual-based variables decomposition methods for strongly convex problems

Operations Research Letters ◽

10.1016/j.orl.2015.11.007 ◽

2016 ◽

Vol 44 (1) ◽

pp. 61-66

Author(s):

Amir Beck ◽

Luba Tetruashvili ◽

Yakov Vaisbourd ◽

Ariel Shemtov

Keyword(s):

Rate Of Convergence ◽

Convergence Analysis ◽

Decomposition Methods ◽

Strongly Convex ◽

Convex Problems

Download Full-text

The rate of convergence of proximal method of multipliers for nonlinear programming

Optimization Methods and Software ◽

10.1080/10556788.2020.1738435 ◽

2020 ◽

Vol 35 (5) ◽

pp. 1022-1049

Author(s):

Yule Zhang ◽

Jia Wu ◽

Liwei Zhang

Keyword(s):

Nonlinear Programming ◽

Rate Of Convergence ◽

Method Of Multipliers ◽

Proximal Method

Download Full-text

On Convergence Analysis of Gradient Based Primal-Dual Method of Multipliers

2018 IEEE Statistical Signal Processing Workshop (SSP) ◽

10.1109/ssp.2018.8450854 ◽

2018 ◽

Author(s):

Guoqiang Zhang ◽

Matthew OrConnor ◽

Le Li

Keyword(s):

Convergence Analysis ◽

Dual Method ◽

Method Of Multipliers ◽

Primal Dual ◽

Download Full-text

On convergence analysis of dual proximal-gradient methods with approximate gradient for a class of nonsmooth convex minimization problems

Journal of Industrial and Management Optimization ◽

10.3934/jimo.2016.12.389 ◽

2015 ◽

Vol 12 (1) ◽

pp. 389-402 ◽

Author(s):

Sanming Liu ◽

Zhijie Wang ◽

Chongyang Liu

Keyword(s):

Convergence Analysis ◽

Gradient Methods ◽

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

Download Full-text

Asynchronous distributed alternating direction method of multipliers: Algorithm and convergence analysis

2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) ◽

10.1109/icassp.2016.7472585 ◽

2016 ◽

Author(s):

Tsung-Hui Chang ◽

Mingyi Hong ◽

Wei-Cheng Liao ◽

Xiangfeng Wang

Keyword(s):

Convergence Analysis ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Alternating Direction

Download Full-text

RATE OF CONVERGENCE OF THE METHOD OF MULTIPLIERS WITH INEXACT MINIMIZATION

Nonlinear Programming 2 ◽

10.1016/b978-0-12-468650-2.50011-0 ◽

1975 ◽

pp. 193-214 ◽

Author(s):

Barry W. Kort

Keyword(s):

Rate Of Convergence ◽

Method Of Multipliers

Download Full-text

Alternating direction method of multipliers for a class of nonconvex bilinear optimization: convergence analysis and applications

Journal of Global Optimization ◽

10.1007/s10898-017-0594-x ◽

2017 ◽

Vol 70 (1) ◽

pp. 261-288 ◽

Author(s):

Davood Hajinezhad ◽

Qingjiang Shi

Keyword(s):

Convergence Analysis ◽

Alternating Direction Method ◽

Method Of Multipliers ◽

Alternating Direction

Download Full-text