{"title":"动态精度迭代算法","authors":"D. Kramer, I. Scherson","doi":"10.1109/FMPC.1992.234930","DOIUrl":null,"url":null,"abstract":"The authors address the use of DP (dynamic precision) in fixed point iterative numerical algorithms. These algorithms are used in a wide range of numerically intensive scientific applications. One such algorithm, Muller's method, detects complex roots of an arbitrary function. This algorithm was implemented in DP on various architectures, including a MasPar MP-1 massively parallel processor and a Cray Y-MP vector processor. The results show that the use of DP can lead to a significant speedup of iterative algorithms on multiple-range architectures.<<ETX>>","PeriodicalId":117789,"journal":{"name":"[Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation","volume":"2016 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Dynamic precision iterative algorithms\",\"authors\":\"D. Kramer, I. Scherson\",\"doi\":\"10.1109/FMPC.1992.234930\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors address the use of DP (dynamic precision) in fixed point iterative numerical algorithms. These algorithms are used in a wide range of numerically intensive scientific applications. One such algorithm, Muller's method, detects complex roots of an arbitrary function. This algorithm was implemented in DP on various architectures, including a MasPar MP-1 massively parallel processor and a Cray Y-MP vector processor. The results show that the use of DP can lead to a significant speedup of iterative algorithms on multiple-range architectures.<<ETX>>\",\"PeriodicalId\":117789,\"journal\":{\"name\":\"[Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation\",\"volume\":\"2016 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-10-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[Proceedings 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FMPC.1992.234930\",\"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 1992] The Fourth Symposium on the Frontiers of Massively Parallel Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FMPC.1992.234930","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The authors address the use of DP (dynamic precision) in fixed point iterative numerical algorithms. These algorithms are used in a wide range of numerically intensive scientific applications. One such algorithm, Muller's method, detects complex roots of an arbitrary function. This algorithm was implemented in DP on various architectures, including a MasPar MP-1 massively parallel processor and a Cray Y-MP vector processor. The results show that the use of DP can lead to a significant speedup of iterative algorithms on multiple-range architectures.<>