The relaxed nonlinear PHSS-like iteration method for absolute value equations

被引：26

作者：

Zhang, Jian-Jun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 265卷

关键词：

Absolute value equations; HSS; Semismooth; Positive definite; System of weakly nonlinear equations; HERMITIAN SPLITTING METHODS; MONOTONE CONVERGENCE; SYSTEMS;

D O I：

10.1016/j.amc.2015.05.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Finding the solution of the absolute value equation (AVE) Ax - vertical bar x vertical bar = b has attracted much attention in recent years. In this paper, we propose a relaxed nonlinear PHSS-like iterative method, which is more efficient than the Picard-HSS iterative method for the AVE, and is a generalization of the nonlinear HSS-like iteration method for the AVE. By using the theory of nonsmooth analysis, we prove the convergence of the relaxed nonlinear PHSS-like iterative method for the AVE. Numerical experiments are given to demonstrate the feasibility, robustness and effectiveness of the relaxed nonlinear HSS-like method. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：266 / 274

页数：9

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