{"title":"使用区间算术的高性能线性代数","authors":"Hong Diep Nguyen, N. Revol","doi":"10.1145/1837210.1837236","DOIUrl":null,"url":null,"abstract":"In this paper, we describe implementations of interval matrix multiplication and verified solution to a linear system, using entirely BLAS routines, which are fully optimized and parallelized.","PeriodicalId":123389,"journal":{"name":"International Workshop on Parallel Symbolic Computation","volume":"149 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"High performance linear algebra using interval arithmetic\",\"authors\":\"Hong Diep Nguyen, N. Revol\",\"doi\":\"10.1145/1837210.1837236\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we describe implementations of interval matrix multiplication and verified solution to a linear system, using entirely BLAS routines, which are fully optimized and parallelized.\",\"PeriodicalId\":123389,\"journal\":{\"name\":\"International Workshop on Parallel Symbolic Computation\",\"volume\":\"149 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Workshop on Parallel Symbolic Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/1837210.1837236\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Workshop on Parallel Symbolic Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/1837210.1837236","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
High performance linear algebra using interval arithmetic
In this paper, we describe implementations of interval matrix multiplication and verified solution to a linear system, using entirely BLAS routines, which are fully optimized and parallelized.