{"title":"非厄米正定系统多重分裂并行方法的收敛性","authors":"Chuan-Long Wang, Yan-Ping Wang","doi":"10.1109/NSS.2010.29","DOIUrl":null,"url":null,"abstract":"We present the convergent splitting and convergent multi splitting for linear system of algebraic equations Ax=b when the coefficient matrix is a non-hermitian positive definite matrix. Furthermore, we also establish the comparison theorems of different splitting or multisplittings by numerical radius. Finally, we give an application to solve the complex linear system.","PeriodicalId":127173,"journal":{"name":"2010 Fourth International Conference on Network and System Security","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Convergences of Multisplitting Parallel Methods for Non-Hermitian Positive Definite Systems\",\"authors\":\"Chuan-Long Wang, Yan-Ping Wang\",\"doi\":\"10.1109/NSS.2010.29\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present the convergent splitting and convergent multi splitting for linear system of algebraic equations Ax=b when the coefficient matrix is a non-hermitian positive definite matrix. Furthermore, we also establish the comparison theorems of different splitting or multisplittings by numerical radius. Finally, we give an application to solve the complex linear system.\",\"PeriodicalId\":127173,\"journal\":{\"name\":\"2010 Fourth International Conference on Network and System Security\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Fourth International Conference on Network and System Security\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NSS.2010.29\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Fourth International Conference on Network and System Security","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NSS.2010.29","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Convergences of Multisplitting Parallel Methods for Non-Hermitian Positive Definite Systems
We present the convergent splitting and convergent multi splitting for linear system of algebraic equations Ax=b when the coefficient matrix is a non-hermitian positive definite matrix. Furthermore, we also establish the comparison theorems of different splitting or multisplittings by numerical radius. Finally, we give an application to solve the complex linear system.
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