A Preconditioned AOR Iterative Method for the Absolute Value Equations-Reference-Cited by-同舟云学术

A Preconditioned AOR Iterative Method for the Absolute Value Equations

Published:2017-02-22 Issue:02 Volume:14 Page:1750016
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

Li Cui-Xia¹

Affiliation:

1. School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 455000, P. R. China

Abstract

In this paper, coupled with preconditioning technique, a preconditioned accelerated over relaxation (PAOR) iterative method for solving the absolute value equations (AVEs) is presented. Some comparison theorems are given when the matrix of the linear term is an irreducible [Formula: see text]-matrix. Comparison results show that the convergence rate of the PAOR iterative method is better than that of the accelerated over relaxation (AOR) iterative method whenever both are convergent. Numerical experiments are provided in order to confirm the theoretical results studied in this paper.

Funder

National Natural Science Foundation of China (CN)

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876217500165

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