A Perturbed Parallel Decomposition Method for a Class of Nonsmooth Convex Minimization Problems

Khalil Mouallif; Van Hien Nguyen; Jean-Jacques Strodiot

doi:10.1137/0329045

A Perturbed Parallel Decomposition Method for a Class of Nonsmooth Convex Minimization Problems

SIAM Journal on Control and Optimization ◽

10.1137/0329045 ◽

1991 ◽

Vol 29 (4) ◽

pp. 829-847 ◽

Cited By ~ 13

Author(s):

Khalil Mouallif ◽

Van Hien Nguyen ◽

Jean-Jacques Strodiot

Keyword(s):

Decomposition Method ◽

Convex Minimization ◽

Minimization Problems ◽

Parallel Decomposition ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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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 ◽

Cited By ~ 1

Author(s):

Sanming Liu ◽

Zhijie Wang ◽

Chongyang Liu

Keyword(s):

Convergence Analysis ◽

Gradient Methods ◽

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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A Bundle Method for a Class of Bilevel Nonsmooth Convex Minimization Problems

SIAM Journal on Optimization ◽

10.1137/050647566 ◽

2007 ◽

Vol 18 (1) ◽

pp. 242-259 ◽

Cited By ~ 22

Author(s):

Mikhail V. Solodov

Keyword(s):

Convex Minimization ◽

Bundle Method ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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Proximal iterative Gaussian smoothing algorithm for a class of nonsmooth convex minimization problems

Numerical Algebra Control & Optimization ◽

10.3934/naco.2015.5.79 ◽

2015 ◽

Vol 5 (1) ◽

pp. 79-89

Author(s):

Sanming Liu ◽

◽

Zhijie Wang ◽

Chongyang Liu ◽

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...

Keyword(s):

Convex Minimization ◽

Smoothing Algorithm ◽

Gaussian Smoothing ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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On the Linear Convergence of a Proximal Gradient Method for a Class of Nonsmooth Convex Minimization Problems

Journal of the Operations Research Society of China ◽

10.1007/s40305-013-0015-x ◽

2013 ◽

Vol 1 (2) ◽

pp. 163-186 ◽

Cited By ~ 17

Author(s):

Haibin Zhang ◽

Jiaojiao Jiang ◽

Zhi-Quan Luo

Keyword(s):

Gradient Method ◽

Linear Convergence ◽

Convex Minimization ◽

Proximal Gradient Method ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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A decomposition method for convex minimization problems and its application

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02669680 ◽

2001 ◽

Vol 17 (1) ◽

pp. 20-28

Author(s):

Xu Yifan ◽

Wu Fang

Keyword(s):

Decomposition Method ◽

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems

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On Convergence Analysis of Iterative Smoothing Methods for a Class of Nonsmooth Convex Minimization Problems

2014 Seventh International Joint Conference on Computational Sciences and Optimization ◽

10.1109/cso.2014.53 ◽

2014 ◽

Author(s):

Sanming Liu ◽

Zhijie Wang

Keyword(s):

Convergence Analysis ◽

Convex Minimization ◽

Smoothing Methods ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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A proximal-based decomposition method for convex minimization problems

Mathematical Programming ◽

10.1007/bf01582566 ◽

1994 ◽

Vol 64 (1-3) ◽

pp. 81-101 ◽

Cited By ~ 222

Author(s):

Gong Chen ◽

Marc Teboulle

Keyword(s):

Decomposition Method ◽

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems

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Nonconforming discretizations of convex minimization problems and precise relations to mixed methods

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.04.014 ◽

2021 ◽

Vol 93 ◽

pp. 214-229

Author(s):

Sören Bartels

Keyword(s):

Mixed Methods ◽

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems

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Generalized Halpern-type forward–backward splitting methods for convex minimization problems with application to image restoration problems

Optimization ◽

10.1080/02331934.2019.1646742 ◽

2019 ◽

Vol 69 (7-8) ◽

pp. 1557-1581 ◽

Cited By ~ 3

Author(s):

Duangkamon Kitkuan ◽

Poom Kumam ◽

Juan Martínez-Moreno

Keyword(s):

Image Restoration ◽

Splitting Methods ◽

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems

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A primal-dual dynamical approach to structured convex minimization problems

Journal of Differential Equations ◽

10.1016/j.jde.2020.07.039 ◽

2020 ◽

Vol 269 (12) ◽

pp. 10717-10757 ◽

Cited By ~ 2

Author(s):

Radu Ioan Boţ ◽

Ernö Robert Csetnek ◽

Szilárd Csaba László

Keyword(s):

Convex Minimization ◽

Minimization Problems ◽

Dynamical Approach ◽

Convex Minimization Problems ◽

Primal Dual

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