{"title":"求解周期三对角线性方程组的平行向量算法","authors":"T. Taha","doi":"10.1109/DMCC.1991.633307","DOIUrl":null,"url":null,"abstract":"Periodic tridiagonal linear systems of equations typi- cally arise from discretizing second order differential equations with periodic boundary conditions. In this paper a parallel-vector algorithm is introduced to solve such systems. Implementation of the new algorithm is carried out on an Intel iPSC/2 hypercube with vector processor boards attached to each node processor. It is to be noted that t his algorithm can be extended to solve other periodic banded linear systems.","PeriodicalId":313314,"journal":{"name":"The Sixth Distributed Memory Computing Conference, 1991. Proceedings","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Parallel-Vector Algorithm for Solving Periodic Tridiagonal Linear Systems of Equations\",\"authors\":\"T. Taha\",\"doi\":\"10.1109/DMCC.1991.633307\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Periodic tridiagonal linear systems of equations typi- cally arise from discretizing second order differential equations with periodic boundary conditions. In this paper a parallel-vector algorithm is introduced to solve such systems. Implementation of the new algorithm is carried out on an Intel iPSC/2 hypercube with vector processor boards attached to each node processor. It is to be noted that t his algorithm can be extended to solve other periodic banded linear systems.\",\"PeriodicalId\":313314,\"journal\":{\"name\":\"The Sixth Distributed Memory Computing Conference, 1991. Proceedings\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-04-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Sixth Distributed Memory Computing Conference, 1991. Proceedings\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DMCC.1991.633307\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Sixth Distributed Memory Computing Conference, 1991. Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DMCC.1991.633307","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Parallel-Vector Algorithm for Solving Periodic Tridiagonal Linear Systems of Equations
Periodic tridiagonal linear systems of equations typi- cally arise from discretizing second order differential equations with periodic boundary conditions. In this paper a parallel-vector algorithm is introduced to solve such systems. Implementation of the new algorithm is carried out on an Intel iPSC/2 hypercube with vector processor boards attached to each node processor. It is to be noted that t his algorithm can be extended to solve other periodic banded linear systems.
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