The inexact log-exponential regularization method for mathematical programs with vertical complementarity constraints

Liping Pang;  ; Na Xu; Jian Lv;

doi:10.3934/jimo.2018032

The inexact log-exponential regularization method for mathematical programs with vertical complementarity constraints

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2018032 ◽

2019 ◽

Vol 15 (1) ◽

pp. 59-79

Author(s):

Liping Pang ◽

◽

Na Xu ◽

Jian Lv ◽

Keyword(s):

Regularization Method ◽

Complementarity Constraints ◽

Mathematical Programs

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Improved convergence properties of the Lin-Fukushima-Regularization method for mathematical programs with complementarity constraints

Numerical Algebra Control & Optimization ◽

10.3934/naco.2011.1.49 ◽

2011 ◽

Vol 1 (1) ◽

pp. 49-60 ◽

Cited By ~ 4

Author(s):

Tim Hoheisel ◽

◽

Christian Kanzow ◽

Alexandra Schwartz

Keyword(s):

Regularization Method ◽

Complementarity Constraints ◽

Convergence Properties ◽

Mathematical Programs

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A New Regularization Method for Mathematical Programs with Complementarity Constraints with Strong Convergence Properties

SIAM Journal on Optimization ◽

10.1137/100802487 ◽

2013 ◽

Vol 23 (2) ◽

pp. 770-798 ◽

Cited By ~ 22

Author(s):

Christian Kanzow ◽

Alexandra Schwartz

Keyword(s):

Strong Convergence ◽

Regularization Method ◽

Complementarity Constraints ◽

Convergence Properties ◽

Mathematical Programs

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Regularization method for stochastic mathematical programs with complementarity constraints

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2005005 ◽

2005 ◽

Vol 11 (2) ◽

pp. 252-265 ◽

Cited By ~ 4

Author(s):

Gui-Hua Lin ◽

Masao Fukushima

Keyword(s):

Regularization Method ◽

Complementarity Constraints ◽

Mathematical Programs

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Convergence analysis of an augmented Lagrangian method for mathematical programs with complementarity constraints

Nonlinear Analysis ◽

10.1016/j.na.2005.03.027 ◽

2005 ◽

Vol 63 (5-7) ◽

pp. e2247-e2256 ◽

Cited By ~ 4

Author(s):

X.Q. Yang ◽

X.X. Huang

Keyword(s):

Convergence Analysis ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Complementarity Constraints ◽

Mathematical Programs

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A Modified Relaxation Scheme for Mathematical Programs with Complementarity Constraints

Annals of Operations Research ◽

10.1007/s10479-004-5024-z ◽

2005 ◽

Vol 133 (1-4) ◽

pp. 63-84 ◽

Cited By ~ 51

Author(s):

Gui-Hua Lin ◽

Masao Fukushima

Keyword(s):

Complementarity Constraints ◽

Mathematical Programs ◽

Relaxation Scheme

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A New Regularization Scheme for Mathematical Programs with Complementarity Constraints

SIAM Journal on Optimization ◽

10.1137/070705490 ◽

2009 ◽

Vol 20 (1) ◽

pp. 78-103 ◽

Cited By ~ 24

Author(s):

Abdeslam Kadrani ◽

Jean-Pierre Dussault ◽

Abdelhamid Benchakroun

Keyword(s):

Complementarity Constraints ◽

Regularization Scheme ◽

Mathematical Programs

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Solving Stochastic Mathematical Programs with Complementarity Constraints Using Simulation

Proceedings of the 2004 Winter Simulation Conference, 2004. ◽

10.1109/wsc.2004.1371361 ◽

2005 ◽

Cited By ~ 2

Author(s):

S.I. Birbil ◽

G.l. Gurkan ◽

O. Listes

Keyword(s):

Complementarity Constraints ◽

Mathematical Programs

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A globally convergent approximately active search algorithm for solving mathematical programs with linear complementarity constraints

Numerische Mathematik ◽

10.1007/s00211-004-0542-9 ◽

2004 ◽

Vol 98 (3) ◽

pp. 539-558 ◽

Cited By ~ 3

Author(s):

J. Z. Zhang ◽

G. S. Liu ◽

S. Y. Wang

Keyword(s):

Search Algorithm ◽

Linear Complementarity ◽

Complementarity Constraints ◽

Active Search ◽

Mathematical Programs ◽

Globally Convergent ◽

Linear Complementarity Constraints

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Convergence Properties of a Regularization Scheme for Mathematical Programs with Complementarity Constraints

SIAM Journal on Optimization ◽

10.1137/s1052623499361233 ◽

2001 ◽

Vol 11 (4) ◽

pp. 918-936 ◽

Cited By ~ 207

Author(s):

Stefan Scholtes

Keyword(s):

Complementarity Constraints ◽

Convergence Properties ◽

Regularization Scheme ◽

Mathematical Programs

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Global Optimization Method for Solving Mathematical Programs with Linear Complementarity Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-004-0946-9 ◽

2005 ◽

Vol 124 (2) ◽

pp. 467-490 ◽

Cited By ~ 5

Author(s):

N. V. Thoai ◽

Y. Yamamoto ◽

A. Yoshise

Keyword(s):

Global Optimization ◽

Optimization Method ◽

Linear Complementarity ◽

Complementarity Constraints ◽

Global Optimization Method ◽

Mathematical Programs ◽

Linear Complementarity Constraints

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