{"title":"BLOCK VECTORIZABLE PRECONDITIONED ITERATIVE METHODS","authors":"Liu Xing-ping, Hu Jia-Gan","doi":"10.1080/10637199408962540","DOIUrl":null,"url":null,"abstract":"ABSTRACT In this paper the algorithms of the Block Vectorizable Preconditioned iterative Method for linear systems of the form A× = f are proposed, when A is block tridiagonal matrix. The convergence of these iterative methods is analysed, when A is an M matrix or H matrix- The resulting BVPI method has been tested on a YH-1 computer. Numerical examples indicates that the new method is very efficient, since the vectorial computational can be applied.","PeriodicalId":406098,"journal":{"name":"Parallel Algorithms and Applications","volume":"66 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Parallel Algorithms and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/10637199408962540","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
ABSTRACT In this paper the algorithms of the Block Vectorizable Preconditioned iterative Method for linear systems of the form A× = f are proposed, when A is block tridiagonal matrix. The convergence of these iterative methods is analysed, when A is an M matrix or H matrix- The resulting BVPI method has been tested on a YH-1 computer. Numerical examples indicates that the new method is very efficient, since the vectorial computational can be applied.
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