{"title":"论垂直线性互补问题的无辅助变量模数法","authors":"Hua Zheng, Seakweng Vong","doi":"10.1007/s12190-024-02218-w","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we conduct a further analysis of the modulus-based matrix splitting iteration method proposed in J-W He, S Vong. (Appl Math Lett 134: 108344, 2022) for vertical linear complementarity problems. Our study extends and enhances the existing theoretical theorems, which are also validated through numerical examples.</p>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the modulus-based methods without auxiliary variable for vertical linear complementarity problems\",\"authors\":\"Hua Zheng, Seakweng Vong\",\"doi\":\"10.1007/s12190-024-02218-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we conduct a further analysis of the modulus-based matrix splitting iteration method proposed in J-W He, S Vong. (Appl Math Lett 134: 108344, 2022) for vertical linear complementarity problems. Our study extends and enhances the existing theoretical theorems, which are also validated through numerical examples.</p>\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-09-09\",\"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://doi.org/10.1007/s12190-024-02218-w\",\"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://doi.org/10.1007/s12190-024-02218-w","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
摘要
在本文中，我们进一步分析了 J-W He, S Vong.(Appl Math Lett 134: 108344, 2022) 中提出的垂直线性互补问题的基于模数的矩阵分割迭代法进行了进一步分析。我们的研究扩展和加强了现有的理论定理，并通过数值实例进行了验证。
On the modulus-based methods without auxiliary variable for vertical linear complementarity problems
In this paper, we conduct a further analysis of the modulus-based matrix splitting iteration method proposed in J-W He, S Vong. (Appl Math Lett 134: 108344, 2022) for vertical linear complementarity problems. Our study extends and enhances the existing theoretical theorems, which are also validated through numerical examples.
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