Convergence analysis of modulus-based matrix splitting iterative methods for implicit complementarity problems

被引：23

作者：

Wang, An ^{[1
]}

Cao, Yang ^{[2
]}

Shi, Quan ^{[2
]}

机构：

[1] Nantong Univ, Sch Sci, Nantong 226019, Peoples R China

[2] Nantong Univ, Sch Transportat, Nantong 226019, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1186/s13660-017-1593-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we demonstrate a complete version of the convergence theory of the modulus-based matrix splitting iteration methods for solving a class of implicit complementarity problems proposed by Hong and Li (Numer. Linear Algebra Appl. 23: 629-641, 2016). New convergence conditions are presented when the system matrix is a positive-definite matrix and an H+-matrix, respectively.

引用

页数：11

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