On the preconditioned GAOR method for a linear complementarity problem with an M-matrix.

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-27 DOI:10.1186/s13660-018-1789-5

Shu-Xin Miao, Dan Zhang

引用次数: 4

Abstract

Recently, based on the Hadjidimos preconditioner, a preconditioned GAOR method was proposed for solving the linear complementarity problem (Liu and Li in East Asian J. Appl. Math. 2:94-107, 2012). In this paper, we propose a new preconditioned GAOR method for solving the linear complementarity problem with an M-matrix. The convergence of the proposed method is analyzed, and the comparison results are obtained to show it accelerates the convergence of the original GAOR method and the preconditioned GAOR method in (Liu and Li in East Asian J. Appl. Math. 2:94-107, 2012). Numerical examples verify the theoretical analysis.

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一类m矩阵线性互补问题的预条件GAOR方法。

最近，基于Hadjidimos预条件，提出了一种求解线性互补问题的预条件GAOR方法(Liu and Li in East Asian J. Appl.)。数学。2:94-107,2012)。本文提出了一种新的求解m矩阵线性互补问题的预条件GAOR方法。对所提方法的收敛性进行了分析，对比结果表明所提方法加快了原GAOR方法和预置GAOR方法(Liu and Li in East Asian J. Appl.)的收敛速度。数学。2:94-107,2012)。数值算例验证了理论分析的正确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.