{"title":"Rounding error in evaluating continued fraction expansions","authors":"W. B. Jones, W. J. Thron","doi":"10.1145/800182.810374","DOIUrl":null,"url":null,"abstract":"It is well known that continued fraction expansions provide a useful means for representing and computing values of functions. Expansions for many functions of mathematical analysis and physics are contained in the literature [1, 7, 9, 10]. Other expansions can be developed from a Taylor series (convergent or asymptotic) by efficient non-linear sequence algorithms [4, 5]. In addition to questions of convergence and speed of convergence of an infinite continued fraction","PeriodicalId":204185,"journal":{"name":"ACM '74","volume":"184 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM '74","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800182.810374","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
It is well known that continued fraction expansions provide a useful means for representing and computing values of functions. Expansions for many functions of mathematical analysis and physics are contained in the literature [1, 7, 9, 10]. Other expansions can be developed from a Taylor series (convergent or asymptotic) by efficient non-linear sequence algorithms [4, 5]. In addition to questions of convergence and speed of convergence of an infinite continued fraction
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