AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (276 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

The simplified modulus-based matrix splitting iteration method for the nonlinear complementarity problem

School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526000, China
Show Author Information

Abstract

In this paper, the simplified modulus-based matrix splitting iteration method was extended to solve the nonlinear complementarity problem, and the convergence conditions were presented from the spectral radius and the matrix norm. Then, for the special cases of this method, we provided some concrete convergence conditions as well as the quasi-optimal parameter matrix. Moreover, some numerical examples were illustrated to show the validity of the convergence results.

Keywords

nonlinear complementaritynumerical solutioniteration methodmatrix spittingconvergence
CLC number: 65F10, 65N12

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 8594-8609
DOI: 10.3934/math.2024416

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Fang X. The simplified modulus-based matrix splitting iteration method for the nonlinear complementarity problem. AIMS Mathematics, 2024, 9(4): 8594-8609. https://doi.org/10.3934/math.2024416

50

Views

1

Downloads

2

Crossref

2

Web of Science

2

Scopus
Received: 14 December 2023
Revised: 27 January 2024
Accepted: 31 January 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)