A Simply Constrained Optimization Reformulation of KKT Systems Arising from Variational Inequalities

F. Facchinei

doi:10.1007/s002459900114

A Simply Constrained Optimization Reformulation of KKT Systems Arising from Variational Inequalities

Applied Mathematics & Optimization ◽

10.1007/s002459900114 ◽

1999 ◽

Vol 40 (1) ◽

pp. 19-37 ◽

Cited By ~ 28

Author(s):

F. Facchinei

Keyword(s):

Variational Inequalities ◽

Constrained Optimization ◽

Kkt Systems ◽

Optimization Reformulation

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Lagrangian-Penalization Algorithm for Constrained Optimization and Variational Inequalities

Set-Valued and Variational Analysis ◽

10.1007/s11228-011-0199-3 ◽

2011 ◽

Vol 20 (2) ◽

pp. 169-185 ◽

Cited By ~ 5

Author(s):

Pierre Frankel ◽

Juan Peypouquet

Keyword(s):

Variational Inequalities ◽

Constrained Optimization

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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

10.1137/1.9781611970692 ◽

2011 ◽

Cited By ~ 76

Author(s):

Michael Ulbrich

Keyword(s):

Variational Inequalities ◽

Constrained Optimization ◽

Optimization Problems ◽

Function Spaces ◽

Newton Methods ◽

Constrained Optimization Problems ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Towards Matrix-Free AD-Based Preconditioning of KKT Systems in PDE-Constrained Optimization

PAMM ◽

10.1002/pamm.200510013 ◽

2005 ◽

Vol 5 (1) ◽

pp. 47-50 ◽

Cited By ~ 1

Author(s):

Roland Griesse ◽

Andrea Walther

Keyword(s):

Constrained Optimization ◽

Pde Constrained Optimization ◽

Kkt Systems ◽

Matrix Free

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A constrained optimization reformulation and a feasible descent direction method for $$L_{1/2}$$ L 1 / 2 regularization

Computational Optimization and Applications ◽

10.1007/s10589-014-9683-7 ◽

2014 ◽

Vol 59 (1-2) ◽

pp. 263-284 ◽

Cited By ~ 2

Author(s):

Dong-Hui Li ◽

Lei Wu ◽

Zhe Sun ◽

Xiong-ji Zhang

Keyword(s):

Constrained Optimization ◽

Descent Direction ◽

Optimization Reformulation

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New Constrained Optimization Reformulation of Complementarity Problems

Journal of Optimization Theory and Applications ◽

10.1023/a:1022627217515 ◽

1998 ◽

Vol 97 (1) ◽

pp. 105-117 ◽

Cited By ~ 12

Author(s):

A. Fischer

Keyword(s):

Constrained Optimization ◽

Complementarity Problems ◽

Optimization Reformulation

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A constrained optimization reformulation of the generalized Nash equilibrium problem

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2016.1258833 ◽

2017 ◽

Vol 20 (1) ◽

pp. 27-34 ◽

Cited By ~ 5

Author(s):

Jian Hou ◽

Zong-Chuan Wen ◽

Jun-Feng Lai

Keyword(s):

Nash Equilibrium ◽

Constrained Optimization ◽

Equilibrium Problem ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem ◽

Optimization Reformulation

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Numerical solution of KKT systems in PDE-constrained optimization problems via the affine scaling trust-region approach†

International Journal of Computer Mathematics ◽

10.1080/00207160802155294 ◽

2009 ◽

Vol 86 (12) ◽

pp. 2122-2142

Author(s):

Stefania Bellavia ◽

Sandra Pieraccini

Keyword(s):

Constrained Optimization ◽

Numerical Solution ◽

Optimization Problems ◽

Trust Region ◽

Affine Scaling ◽

Constrained Optimization Problems ◽

Pde Constrained Optimization ◽

Kkt Systems ◽

Region Approach

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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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