Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities

Hédy Attouch; Marc-Olivier Czarnecki; Juan Peypouquet

doi:10.1137/110820300

Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities

SIAM Journal on Optimization ◽

10.1137/110820300 ◽

2011 ◽

Vol 21 (4) ◽

pp. 1251-1274 ◽

Cited By ~ 35

Author(s):

Hédy Attouch ◽

Marc-Olivier Czarnecki ◽

Juan Peypouquet

Keyword(s):

Variational Inequalities ◽

Parallel Splitting

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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):

Variational Inequalities ◽

Augmented Lagrangian ◽

Augmented Lagrangian Methods ◽

Lagrangian Methods ◽

Structured Variational Inequalities ◽

Parallel Splitting

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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):

Variational Inequalities ◽

Descent Method ◽

Structured Variational Inequalities ◽

Parallel Splitting

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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 ◽

Variational Inequalities ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Parallel Splitting

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An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures

Computational Optimization and Applications ◽

10.1007/s10589-011-9417-z ◽

2011 ◽

Vol 52 (2) ◽

pp. 439-461 ◽

Cited By ~ 7

Author(s):

Min Tao ◽

Xiaoming Yuan

Keyword(s):

Variational Inequalities ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Monotone Variational Inequalities ◽

Parallel Splitting

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An adaptive analog of Nesterov's method for variational inequalities with a strongly monotone operator

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20190206 ◽

2019 ◽

Keyword(s):

Variational Inequalities ◽

Monotone Operator ◽

Strongly Monotone Operator ◽

Strongly Monotone

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VARIATIONAL INEQUALITIES FOR HETEROGENEOUS MICROSTRUCTURES BASED ON COUPLE-STRESS THEORY

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2018022854 ◽

2018 ◽

Vol 16 (2) ◽

pp. 101-119 ◽

Cited By ~ 1

Author(s):

Sourish Chakravarty ◽

Sonjoy Das ◽

Ali R. Hadjesfandiari ◽

Gary F. Dargush

Keyword(s):

Variational Inequalities ◽

Couple Stress ◽

Couple Stress Theory ◽

Stress Theory ◽

Heterogeneous Microstructures

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Modified Extragradient Method with Bregman Divergence for Variational Inequalities

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v50.i8.30 ◽

2018 ◽

Vol 50 (8) ◽

pp. 26-37 ◽

Cited By ~ 5

Author(s):

Vladimir V. Semenov

Keyword(s):

Variational Inequalities ◽

Extragradient Method ◽

Bregman Divergence

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Control of credit risk collateralization using quasi-variational inequalities

The Journal of Computational Finance ◽

10.21314/jcf.2001.068 ◽

2001 ◽

Vol 4 (3) ◽

pp. 5-38 ◽

Cited By ~ 1

Author(s):

Felipe Aparicio ◽

Didier Cossin

Keyword(s):

Variational Inequalities ◽

Credit Risk

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Dual Extrapolation and its Applications for Solving Variational Inequalities and Related Problems'

SSRN Electronic Journal ◽

10.2139/ssrn.988671 ◽

2003 ◽

Cited By ~ 3

Author(s):

Yurii Nesterov

Keyword(s):

Variational Inequalities

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Variational and Quasi-Variational Inequalities in Mechanics

10.1007/978-1-4020-6377-0 ◽

2007 ◽

Cited By ~ 34

Author(s):

Alexander S. Kravchuk ◽

Pekka J. Neittaanmäki

Keyword(s):

Variational Inequalities

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