{"title":"线性互补问题的基于简化模数的两步矩阵分割迭代法","authors":"Ximing Fang","doi":"10.3390/sym16091210","DOIUrl":null,"url":null,"abstract":"A two-step simplified modulus-based matrix splitting iteration method is presented for solving the linear complementarity problem. According to general matrix splitting and special matrix splitting, a general convergence analysis and a specific convergence analysis are described, respectively. Numerical experiments show that the iteration method is effective and that the convergence theories are valid.","PeriodicalId":501198,"journal":{"name":"Symmetry","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two-Step Simplified Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems\",\"authors\":\"Ximing Fang\",\"doi\":\"10.3390/sym16091210\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A two-step simplified modulus-based matrix splitting iteration method is presented for solving the linear complementarity problem. According to general matrix splitting and special matrix splitting, a general convergence analysis and a specific convergence analysis are described, respectively. Numerical experiments show that the iteration method is effective and that the convergence theories are valid.\",\"PeriodicalId\":501198,\"journal\":{\"name\":\"Symmetry\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Symmetry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3390/sym16091210\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Symmetry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3390/sym16091210","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Two-Step Simplified Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems
A two-step simplified modulus-based matrix splitting iteration method is presented for solving the linear complementarity problem. According to general matrix splitting and special matrix splitting, a general convergence analysis and a specific convergence analysis are described, respectively. Numerical experiments show that the iteration method is effective and that the convergence theories are valid.
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