{"title":"错误传播的一个例子被重新解释为减法抵消","authors":"J. S. Dukelow","doi":"10.1145/230922.230928","DOIUrl":null,"url":null,"abstract":"James Delaney, in his paper in SIGNUM Newsletter [1], convincingly demonstrates that the recursion[EQUATION]blows up because of catastrophic loss of precision due to subtractive cancellation. Values of In calculated using this recursion are given in the second column of Table 1.","PeriodicalId":177516,"journal":{"name":"ACM Signum Newsletter","volume":"118 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An example of error propagation reinterpreted as subtractive cancellation—revisited\",\"authors\":\"J. S. Dukelow\",\"doi\":\"10.1145/230922.230928\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"James Delaney, in his paper in SIGNUM Newsletter [1], convincingly demonstrates that the recursion[EQUATION]blows up because of catastrophic loss of precision due to subtractive cancellation. Values of In calculated using this recursion are given in the second column of Table 1.\",\"PeriodicalId\":177516,\"journal\":{\"name\":\"ACM Signum Newsletter\",\"volume\":\"118 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM Signum Newsletter\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/230922.230928\",\"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/10.1145/230922.230928","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
James Delaney在他的论文《SIGNUM Newsletter b[1]》中令人信服地证明了递归[方程]的爆炸，因为减法抵消导致精度的灾难性损失。表1的第二列给出了使用这种递归计算的In值。
An example of error propagation reinterpreted as subtractive cancellation—revisited
James Delaney, in his paper in SIGNUM Newsletter [1], convincingly demonstrates that the recursion[EQUATION]blows up because of catastrophic loss of precision due to subtractive cancellation. Values of In calculated using this recursion are given in the second column of Table 1.
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