Additive Schwarz algorithm for the nonlinear complementarity problem with M-function

被引：6

作者：

Jiang, Ying-Jun ^{[1
]}

Zeng, Jin-Ping

机构：

[1] ChangSha Univ Sci & Technol, Dept Math & Comp Sci, Changsha 410076, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 02期

基金：

中国国家自然科学基金;

关键词：

additive Schwarz algorithm; M-function; nonlinear complementarity problem; monotone convergence; weighted max-norm;

D O I：

10.1016/j.amc.2006.10.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an additive Schwarz algorithm is considered for solving the finite-dimensional nonlinear complementarity problem with M-function. The monotone convergence of the algorithm is obtained with special choices of initial values. Moreover, the weighted max-norm bound is obtained for the iterative errors. (c) 2006 Published by Elsevier Inc.

引用

页码：1007 / 1019

页数：13

共 50 条

[41] A new smoothing-type algorithm for nonlinear weighted complementarity problem
Liu, Ziyu
Tang, Jingyong
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 64 (1-2) : 215 - 226
[42] On the identification of degenerate indices in the nonlinear complementarity problem with the proximal point algorithm
Nobuo Yamashita
Hiroshige Dan
Masao Fukushima
Mathematical Programming, 2004, 99 : 377 - 397
[43] SIMPLICIAL ALGORITHM TO SOLVE THE NONLINEAR COMPLEMENTARITY-PROBLEM ON SNXRM+
HOFKES, MW
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 67 (03) : 551 - 565
[44] REMARK ON NONLINEAR COMPLEMENTARITY PROBLEM
LUNA, G
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 48 (01) : 132 - 134
[45] ON THE NONLINEAR COMPLEMENTARITY-PROBLEM
NOOR, MA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 123 (02) : 455 - 460
[46] Semismooth Newton Schwarz iterative methods for the linear complementarity problem
Zhe Sun
Jinping Zeng
Donghui Li
BIT Numerical Mathematics, 2010, 50 : 425 - 449
[47] Semismooth Newton Schwarz iterative methods for the linear complementarity problem
Sun, Zhe
Zeng, Jinping
Li, Donghui
BIT NUMERICAL MATHEMATICS, 2010, 50 (02) : 425 - 449
[48] A SERIES REPRESENTATION FOR THE TITCHMARSH-WEYL M-FUNCTION
HARRIS, BJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 171 (01) : 294 - 299
[49] Convergence rate of a generalized additive Schwarz algorithm
Jin-ping Zeng
Gao-jie Chen
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 24 (05) : 635 - 646
[50] A new kind of kernel function for P*(k) nonlinear complementarity problem
Gong, X. (39191267@qq.com), 1703, Binary Information Press, P.O. Box 162, Bethel, CT 06801-0162, United States (09):

← 1 2 3 4 5 →