{"title":"Floating-point on-line arithmetic: Error analysis","authors":"O. Watanuki, M. Ercegovac","doi":"10.1109/ARITH.1981.6159297","DOIUrl":null,"url":null,"abstract":"The properties of redundant number system in mantissa representation are studied and the range of the redundant mantissa is derived. From the range of the mantissa and the absolute error of on-line operations, the MRRE (maximum relative representation error) is defined and analyzed for redundant floating-point numbers.","PeriodicalId":169426,"journal":{"name":"1981 IEEE 5th Symposium on Computer Arithmetic (ARITH)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1981-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1981 IEEE 5th Symposium on Computer Arithmetic (ARITH)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1981.6159297","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
The properties of redundant number system in mantissa representation are studied and the range of the redundant mantissa is derived. From the range of the mantissa and the absolute error of on-line operations, the MRRE (maximum relative representation error) is defined and analyzed for redundant floating-point numbers.