{"title":"奇异值分解和对称特征问题的有效单侧Jacobi算法","authors":"B. Zhou, R. Brent, M. Kahn","doi":"10.1109/ICAPP.1995.472193","DOIUrl":null,"url":null,"abstract":"A method which uses one-sided Jacobi to solve singular valve decomposition and the symmetric eigen-valve problem in parallel is presented. We describe a parallel ring ordering for one-sided Jacobi computation. One distinctive feature of this ordering is that it can sort column norms in each sweep, which is very important to achieve fast convergence. Experimental results on both the Fujitsu AP1000 and the Fujitsu VPP500 are reported.<<ETX>>","PeriodicalId":448130,"journal":{"name":"Proceedings 1st International Conference on Algorithms and Architectures for Parallel Processing","volume":"231 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Efficient one-sided Jacobi algorithms for singular value decomposition and the symmetric eigenproblem\",\"authors\":\"B. Zhou, R. Brent, M. Kahn\",\"doi\":\"10.1109/ICAPP.1995.472193\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method which uses one-sided Jacobi to solve singular valve decomposition and the symmetric eigen-valve problem in parallel is presented. We describe a parallel ring ordering for one-sided Jacobi computation. One distinctive feature of this ordering is that it can sort column norms in each sweep, which is very important to achieve fast convergence. Experimental results on both the Fujitsu AP1000 and the Fujitsu VPP500 are reported.<<ETX>>\",\"PeriodicalId\":448130,\"journal\":{\"name\":\"Proceedings 1st International Conference on Algorithms and Architectures for Parallel Processing\",\"volume\":\"231 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 1st International Conference on Algorithms and Architectures for Parallel Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICAPP.1995.472193\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 1st International Conference on Algorithms and Architectures for Parallel Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICAPP.1995.472193","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Efficient one-sided Jacobi algorithms for singular value decomposition and the symmetric eigenproblem
A method which uses one-sided Jacobi to solve singular valve decomposition and the symmetric eigen-valve problem in parallel is presented. We describe a parallel ring ordering for one-sided Jacobi computation. One distinctive feature of this ordering is that it can sort column norms in each sweep, which is very important to achieve fast convergence. Experimental results on both the Fujitsu AP1000 and the Fujitsu VPP500 are reported.<>