{"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":null,"pages":null},"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}
引用次数: 1
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.
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