A two-step modulus-based matrix splitting iteration method for solving nonlinear complementarity problems of H+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_+$$\end{document}-matrices

被引：0
作者：
Hua Zheng
Ling Liu
机构：
[1] Shaoguan University,School of Mathematics and Statistics
来源：
Computational and Applied Mathematics | 2018年 / 37卷 / 4期
关键词：
Nonlinear complementarity problem; Two-step modulus-based method; -matrix; 65F10; 90C33;
D O I：
10.1007/s40314-018-0646-y
中图分类号：
学科分类号：
摘要：
In this paper, we establish a two-step modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems with the system matrix being an H+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_+$$\end{document}-matrix. The convergence analysis of the proposed method is given. Numerical examples show that the proposed method is efficient.
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页码：5410 / 5423
页数：13
相关论文
共 51 条
  • [1] Bai Z-Z(1999)On the convergence of the multisplitting methods for the linear complementarity problem SIAM J Matrix Anal Appl 21 67-78
  • [2] Bai Z-Z(2010)Modulus-based matrix splitting iteration methods for linear complementarity problems Num Linear Algebra Appl 17 917-933
  • [3] Bai Z-Z(2013)Modulus-based synchronous multisplitting iteration methods for linear complementarity problems Num Linear Algebra Appl 20 425-439
  • [4] Zhang L-L(2013)Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems Num Algorithms 62 59-77
  • [5] Bai Z-Z(2014)A note on the convergence of the MSMAOR method for linear complementarity problems Num Linear Algebra Appl 21 534-539
  • [6] Zhang L-L(1997)Engineering and economic applications of complementarity problems SIAM Rev 39 669-713
  • [7] Cvetković Lj(1989)Convergence of relaxed parallel multisplitting methods Linear Algebra Appl 119 141-152
  • [8] Kostić V(1990)Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications Math Progr 48 161-220
  • [9] Ferris MC(1996)Parallel solution of variational inequality problems with nonlinear source terms IMA J Num Anal 16 31-45
  • [10] Pang J-S(1982)Estimates of Math Num Sin 4 272-282
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