{"title":"工作站网络中线性方程组的求解","authors":"G. Dimitriu, F. Ionescu","doi":"10.1109/ISPDC.2006.45","DOIUrl":null,"url":null,"abstract":"In this article we propose an evaluation of the three common algorithms for solving linear system of equations: Gauss elimination, Gauss-Jordan without pivoting and Jacobi with dominant rows. The parallel design of the chosen algorithms is a compromise between the easies and elegant way to implement in MPI and the performance. The result confirmed that for a small number of low cost computers the speedup is acceptable for the Gauss elimination and Gauss-Jordan but for Jacobi with dominant rows if data is not already distributed it is better to implement the serial version","PeriodicalId":196790,"journal":{"name":"2006 Fifth International Symposium on Parallel and Distributed Computing","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Solving System of Linear Equations in a Network of Workstations\",\"authors\":\"G. Dimitriu, F. Ionescu\",\"doi\":\"10.1109/ISPDC.2006.45\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we propose an evaluation of the three common algorithms for solving linear system of equations: Gauss elimination, Gauss-Jordan without pivoting and Jacobi with dominant rows. The parallel design of the chosen algorithms is a compromise between the easies and elegant way to implement in MPI and the performance. The result confirmed that for a small number of low cost computers the speedup is acceptable for the Gauss elimination and Gauss-Jordan but for Jacobi with dominant rows if data is not already distributed it is better to implement the serial version\",\"PeriodicalId\":196790,\"journal\":{\"name\":\"2006 Fifth International Symposium on Parallel and Distributed Computing\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 Fifth International Symposium on Parallel and Distributed Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISPDC.2006.45\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 Fifth International Symposium on Parallel and Distributed Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISPDC.2006.45","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving System of Linear Equations in a Network of Workstations
In this article we propose an evaluation of the three common algorithms for solving linear system of equations: Gauss elimination, Gauss-Jordan without pivoting and Jacobi with dominant rows. The parallel design of the chosen algorithms is a compromise between the easies and elegant way to implement in MPI and the performance. The result confirmed that for a small number of low cost computers the speedup is acceptable for the Gauss elimination and Gauss-Jordan but for Jacobi with dominant rows if data is not already distributed it is better to implement the serial version