{"title":"块三对角系统的并行算法","authors":"Heng Zhang, Wu Zhang, Xian-He Sun","doi":"10.1109/PDCAT.2008.21","DOIUrl":null,"url":null,"abstract":"A parallel algorithm, namely parallel block diagonal dominant (PBDD) algorithm, is proposed to solve block tridiagonal linear systems on multi-computers. This algorithm is based on divided-and-conquer idea of the PDD method. When the systems is strictly block diagonal dominant, the PBDD is highly parallel and provides approximate solutions that equals to the exact solutions within machine accuracy. The PBDD method has been implemented on a 64-node multi-computer. The analytic results match closely with the results measured from the numerical experiments.","PeriodicalId":282779,"journal":{"name":"2008 Ninth International Conference on Parallel and Distributed Computing, Applications and Technologies","volume":"202 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A Parallel Algorithm for Block Tridiagonal Systems\",\"authors\":\"Heng Zhang, Wu Zhang, Xian-He Sun\",\"doi\":\"10.1109/PDCAT.2008.21\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A parallel algorithm, namely parallel block diagonal dominant (PBDD) algorithm, is proposed to solve block tridiagonal linear systems on multi-computers. This algorithm is based on divided-and-conquer idea of the PDD method. When the systems is strictly block diagonal dominant, the PBDD is highly parallel and provides approximate solutions that equals to the exact solutions within machine accuracy. The PBDD method has been implemented on a 64-node multi-computer. The analytic results match closely with the results measured from the numerical experiments.\",\"PeriodicalId\":282779,\"journal\":{\"name\":\"2008 Ninth International Conference on Parallel and Distributed Computing, Applications and Technologies\",\"volume\":\"202 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 Ninth International Conference on Parallel and Distributed Computing, Applications and Technologies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PDCAT.2008.21\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 Ninth International Conference on Parallel and Distributed Computing, Applications and Technologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PDCAT.2008.21","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Parallel Algorithm for Block Tridiagonal Systems
A parallel algorithm, namely parallel block diagonal dominant (PBDD) algorithm, is proposed to solve block tridiagonal linear systems on multi-computers. This algorithm is based on divided-and-conquer idea of the PDD method. When the systems is strictly block diagonal dominant, the PBDD is highly parallel and provides approximate solutions that equals to the exact solutions within machine accuracy. The PBDD method has been implemented on a 64-node multi-computer. The analytic results match closely with the results measured from the numerical experiments.
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