{"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":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"79 1","pages":""},"PeriodicalIF":2.4000,"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\":15034,\"journal\":{\"name\":\"Journal of Applied Mathematics and Computing\",\"volume\":\"79 1\",\"pages\":\"\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mathematics and Computing\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s12190-024-02218-w\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics and Computing","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12190-024-02218-w","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","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.
期刊介绍：
JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
