An Efficient Class of Modulus-Based Matrix Splitting Methods for Nonlinear Complementarity Problems-Reference-Cited by-同舟云学术

An Efficient Class of Modulus-Based Matrix Splitting Methods for Nonlinear Complementarity Problems

Published:2021-12-28 Issue: Volume:2021 Page:1-8
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Xie Shui-Lian¹^ORCID,Xu Hong-Ru¹^ORCID

Affiliation:

1. School of Mathematics, Jiaying University, Meizhou, Guangdong 514015, China

Abstract

In this paper, we present an efficient method for finding a numerical solution for nonlinear complementarity problems (NCPs). We first reformulate an NCP as an equivalent system of fixed-point equations and then present a modulus-based matrix splitting iteration method. We prove the convergence of the proposed method with theorems with the relevant conditions. Our preliminary numerical results show that the method is feasible and effective.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2021/9030547.pdf

Reference28 articles.

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Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. THE MODULUS-BASED MATRIX SPLITTING METHOD WITH INNER ITERATION FOR A CLASS OF NONLINEAR COMPLEMENTARITY PROBLEMS;Journal of Applied Analysis & Computation;2023

2. An efficient modulus-based matrix splitting iteration method for quasi-complementarity problems;Computational and Applied Mathematics;2022-08-31