{"title":"和或差的精确计算,应用于论证化简","authors":"W. Ferguson","doi":"10.1109/ARITH.1995.465355","DOIUrl":null,"url":null,"abstract":"Results are presented that identify when the computed value of a sum or difference is exact. The accuracy of an argument reduction algorithm is analyzed using these results. This analysis demonstrates that catastrophic cancellation does not occur in this algorithm's computation of the reduced argument.<<ETX>>","PeriodicalId":332829,"journal":{"name":"Proceedings of the 12th Symposium on Computer Arithmetic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1995-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Exact computation of a sum or difference with applications to argument reduction\",\"authors\":\"W. Ferguson\",\"doi\":\"10.1109/ARITH.1995.465355\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Results are presented that identify when the computed value of a sum or difference is exact. The accuracy of an argument reduction algorithm is analyzed using these results. This analysis demonstrates that catastrophic cancellation does not occur in this algorithm's computation of the reduced argument.<<ETX>>\",\"PeriodicalId\":332829,\"journal\":{\"name\":\"Proceedings of the 12th Symposium on Computer Arithmetic\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-07-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 12th Symposium on Computer Arithmetic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARITH.1995.465355\",\"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 of the 12th Symposium on Computer Arithmetic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1995.465355","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exact computation of a sum or difference with applications to argument reduction
Results are presented that identify when the computed value of a sum or difference is exact. The accuracy of an argument reduction algorithm is analyzed using these results. This analysis demonstrates that catastrophic cancellation does not occur in this algorithm's computation of the reduced argument.<>