{"title":"A generalized two-sweep shift splitting method\nfor non-Hermitian positive definite linear systems","authors":"Shiliang Wu, Cuixia Li","doi":"10.3336/gm.57.1.10","DOIUrl":null,"url":null,"abstract":"In this paper, based on the shift splitting of the\ncoefficient matrix, a generalized two-sweep shift splitting (GTSS)\nmethod is introduced to solve the non-Hermitian positive definite\nlinear systems. Theoretical analysis shows that the GTSS method is\nconvergent to the unique solution of the linear systems under a\nloose restriction on the iteration parameter. Numerical experiments\nare reported to the efficiency of the GTSS method.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/gm.57.1.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, based on the shift splitting of the
coefficient matrix, a generalized two-sweep shift splitting (GTSS)
method is introduced to solve the non-Hermitian positive definite
linear systems. Theoretical analysis shows that the GTSS method is
convergent to the unique solution of the linear systems under a
loose restriction on the iteration parameter. Numerical experiments
are reported to the efficiency of the GTSS method.
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