New convergence proofs of modulus-based synchronous multisplitting iteration methods for linear complementarity problems

被引：13

作者：

Zhang, Li-Li ^{[1
]}

Zhang, Yun-Peng ^{[2
]}

Ren, Zhi-Ru ^{[3
]}

机构：

[1] Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China

[2] North China Univ Water Resources & Elect Power, Coll Elect Power, Zhengzhou 450011, Henan, Peoples R China

[3] Cent Univ Finance & Econ, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 481卷

基金：

中国国家自然科学基金;

关键词：

Linear complementarity problem; Modulus-based method; Matrix multisplitting; Convergence; H+-MATRIX; SPLITTINGS;

D O I：

10.1016/j.laa.2015.04.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Modulus-based synchronous multisplitting iteration methods were recently proposed for solving linear complementarity problems. We give a much simpler approach to prove the convergence of these iteration methods when the system matrix is an H+-matrix. Moreover, this idea can also be applied to prove the convergence of two-step modulus-based synchronous multisplitting iteration methods, which avoids the construction of the irreducible system matrix and the introduction of the infinite norm. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：83 / 93

页数：11

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