{"title":"New modulus-based matrix splitting method for the vertical nonlinear complementarity problem","authors":"Zu-Feng Fu , Shi-Liang Wu , Liang Li","doi":"10.1016/j.cam.2024.116251","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we extend the modulus-based matrix splitting method for solving the vertical nonlinear complementarity problem. Some necessary convergence conditions of the proposed methods are investigated. Numerical examples are given to compare with the existing methods. These results can be extended for solving general complementarity problems.</p></div>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0377042724005004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we extend the modulus-based matrix splitting method for solving the vertical nonlinear complementarity problem. Some necessary convergence conditions of the proposed methods are investigated. Numerical examples are given to compare with the existing methods. These results can be extended for solving general complementarity problems.