G. Gravvanis, K. M. Giannoutakis, Nikolaos Missirlis
{"title":"一种分布归一化显式预条件共轭梯度法","authors":"G. Gravvanis, K. M. Giannoutakis, Nikolaos Missirlis","doi":"10.1080/10637190412331279975","DOIUrl":null,"url":null,"abstract":"A new parallel normalized explicit preconditioned conjugate gradient method in conjunction with normalized approximate inverse matrix techniques is presented for solving efficiently sparse linear systems on multi-computer systems. Application of the proposed method on a three dimensional boundary value problem is discussed and numerical results are given. The implementation and performance on a distributed, memory MIMD machine, using message passing interface (MPI) is also investigated. E-mail: nmis@di.uoa.gr","PeriodicalId":406098,"journal":{"name":"Parallel Algorithms and Applications","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A Distributed Normalized Explicit Preconditioned Conjugate Gradient Method\",\"authors\":\"G. Gravvanis, K. M. Giannoutakis, Nikolaos Missirlis\",\"doi\":\"10.1080/10637190412331279975\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new parallel normalized explicit preconditioned conjugate gradient method in conjunction with normalized approximate inverse matrix techniques is presented for solving efficiently sparse linear systems on multi-computer systems. Application of the proposed method on a three dimensional boundary value problem is discussed and numerical results are given. The implementation and performance on a distributed, memory MIMD machine, using message passing interface (MPI) is also investigated. E-mail: nmis@di.uoa.gr\",\"PeriodicalId\":406098,\"journal\":{\"name\":\"Parallel Algorithms and Applications\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Parallel Algorithms and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/10637190412331279975\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Parallel Algorithms and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/10637190412331279975","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Distributed Normalized Explicit Preconditioned Conjugate Gradient Method
A new parallel normalized explicit preconditioned conjugate gradient method in conjunction with normalized approximate inverse matrix techniques is presented for solving efficiently sparse linear systems on multi-computer systems. Application of the proposed method on a three dimensional boundary value problem is discussed and numerical results are given. The implementation and performance on a distributed, memory MIMD machine, using message passing interface (MPI) is also investigated. E-mail: nmis@di.uoa.gr