{"title":"用于精确点积计算的快速硬件单元","authors":"A. Knöfel","doi":"10.1109/ARITH.1991.145536","DOIUrl":null,"url":null,"abstract":"Matrix and vector operations based on dot product expressions occur in almost all scientific and engineering applications. The lack of the popular programming languages and computer architectures to provide operators for these data types and corresponding accurate hardware instructions forced users to emulate the vector operations by constructing loops with scalar floating point instructions. Cancellation and immediate rounding in these loops cause uncertain and inaccurate numerical results and aggrevate an error analysis.","PeriodicalId":6526,"journal":{"name":"2015 IEEE 22nd Symposium on Computer Arithmetic","volume":"2 1","pages":"70-74"},"PeriodicalIF":0.0000,"publicationDate":"1991-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Fast hardware units for the computation of accurate dot products\",\"authors\":\"A. Knöfel\",\"doi\":\"10.1109/ARITH.1991.145536\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Matrix and vector operations based on dot product expressions occur in almost all scientific and engineering applications. The lack of the popular programming languages and computer architectures to provide operators for these data types and corresponding accurate hardware instructions forced users to emulate the vector operations by constructing loops with scalar floating point instructions. Cancellation and immediate rounding in these loops cause uncertain and inaccurate numerical results and aggrevate an error analysis.\",\"PeriodicalId\":6526,\"journal\":{\"name\":\"2015 IEEE 22nd Symposium on Computer Arithmetic\",\"volume\":\"2 1\",\"pages\":\"70-74\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE 22nd Symposium on Computer Arithmetic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARITH.1991.145536\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE 22nd Symposium on Computer Arithmetic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1991.145536","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fast hardware units for the computation of accurate dot products
Matrix and vector operations based on dot product expressions occur in almost all scientific and engineering applications. The lack of the popular programming languages and computer architectures to provide operators for these data types and corresponding accurate hardware instructions forced users to emulate the vector operations by constructing loops with scalar floating point instructions. Cancellation and immediate rounding in these loops cause uncertain and inaccurate numerical results and aggrevate an error analysis.
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