{"title":"对Eispack机器epsilon例程的评论","authors":"T. Hopkins, J. Slater","doi":"10.1145/165639.165641","DOIUrl":null,"url":null,"abstract":"We analyze the algorithm used to generate the value for the machine epsilon in the Eispack suite of routines and show that it can fail on a binary floating-point system. The comments in the code describing the conditions under which this method will work are not restrictive enough and we provide a replacement set of assumptions. We conclude by suggesting how the algorithm may be modified to overcome most of the shortcomings.","PeriodicalId":177516,"journal":{"name":"ACM Signum Newsletter","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"A comment on the Eispack machine epsilon routine\",\"authors\":\"T. Hopkins, J. Slater\",\"doi\":\"10.1145/165639.165641\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We analyze the algorithm used to generate the value for the machine epsilon in the Eispack suite of routines and show that it can fail on a binary floating-point system. The comments in the code describing the conditions under which this method will work are not restrictive enough and we provide a replacement set of assumptions. We conclude by suggesting how the algorithm may be modified to overcome most of the shortcomings.\",\"PeriodicalId\":177516,\"journal\":{\"name\":\"ACM Signum Newsletter\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM Signum Newsletter\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/165639.165641\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Signum Newsletter","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/165639.165641","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We analyze the algorithm used to generate the value for the machine epsilon in the Eispack suite of routines and show that it can fail on a binary floating-point system. The comments in the code describing the conditions under which this method will work are not restrictive enough and we provide a replacement set of assumptions. We conclude by suggesting how the algorithm may be modified to overcome most of the shortcomings.
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