{"title":"针对垂直非线性互补问题的基于模数的新矩阵分割法","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":"{\"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}","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}
New modulus-based matrix splitting method for the vertical nonlinear complementarity problem
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.
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