Modulus-based matrix splitting iteration methods for a class of implicit complementarity problems

被引：65

作者：

Hong, Jun-Tao ^{[1
]}

Li, Chen-Liang ^{[1
]}

机构：

[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guangxi Coll & Univ Key Lab Data Anal & Computat, Guilin 541004, Guangxi, Peoples R China

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2016年 / 23卷 / 04期

关键词：

implicit complementarity problem; modulus-based matrix splitting; iterative method; convergence; MULTISPLITTING RELAXATION METHODS; CONVERGENCE;

D O I：

10.1002/nla.2044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some modulus-based matrix splitting iteration methods for a class of implicit complementarity problem are presented, and their convergence analysis is given. Numerical experiments confirm the theoretical analysis and show that the proposed methods are efficient. Copyright (C) 2016 John Wiley & Sons, Ltd.

引用

页码：629 / 641

页数：13

共 29 条

[1] SOLUTION OF NONSYMMETRIC LINEAR COMPLEMENTARITY-PROBLEMS BY ITERATIVE METHODS [J].

AHN, BH .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1981, 33 (02) :175-185

[2]

[Anonymous], OPTIMIZATION

[3]

[Anonymous], 1996, Numer. Math. J. Chin. Univ. (Engl. Ser.)

[4]

[Anonymous], 2000, Acta Math Appl Sin

[5]

Bai Z-Z., 2001, RESEAUX SYSTEMES REP, V13, P125

[6] Modulus-based synchronous multisplitting iteration methods for linear complementarity problems [J].

Bai, Zhong-Zhi ;

Zhang, Li-Li .

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2013, 20 (03) :425-439

[7] Modulus-based matrix splitting iteration methods for linear complementarity problems [J].

Bai, Zhong-Zhi .

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2010, 17 (06) :917-933

[8] Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods [J].

Bai, ZZ ;

Evans, DJ .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2002, 79 (02) :205-232

[9] On the convergence of the multisplitting methods for the linear complementarity problem [J].

Bai, ZZ .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 21 (01) :67-78

[10] Matrix multisplitting relaxation methods for linear complementarity problems [J].

Bai, ZZ ;

Evans, DJ .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1997, 63 (3-4) :309-326

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