Some techniques for solving absolute value equations

被引：25

作者：

Moosaei, H. ^{[1
]}

Ketabchi, S. ^{[2
]}

Noor, M. A. ^{[3
]}

Iqbal, J. ^{[4
]}

Hooshyarbakhsh, V. ^{[5
]}

机构：

[1] Univ Bojnord, Dept Math, Bojnord, Iran

[2] Univ Guilan, Dept Appl Math, Fac Math Sci, Rasht, Iran

[3] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

[4] Abdul Wali Khan Univ Mardan, Dept Math, Kpk, Pakistan

[5] Islamic Azad Univ, Young Researchers & Elite Club, Harnedan Branch, Hamadan, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷

关键词：

Absolulte value equation; Generalized Newton method; Homotopy perturbation method; The successive linearization algorithm; Singular values; HOMOTOPY PERTURBATION METHOD; MINIMUM NORM SOLUTION; ITERATIVE METHODS;

D O I：

10.1016/j.amc.2015.06.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and analyze two new methods for solving the NP-hard absolute value equations (AVE) Ax - vertical bar x vertical bar = b, where A is an arbitrary n x n real matrix and b is an element of R-n, in the case, singular value of A exceeds 1. The comparison with other known methods is carried to show the effectiveness of the proposed methods for a variety of randomly generated problems. The ideas and techniques of this paper may stimulate further research. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：696 / 705

页数：10

共 39 条

[1] Application of He's homotopy perturbation method to functional integral equations [J].