{"title":"A comparison of methods for accelerating convergence of Newton's method for multiple polynomial roots","authors":"J. McNamee","doi":"10.1145/290590.290592","DOIUrl":null,"url":null,"abstract":"Newton's method for solving polynomial equations converges only linearly to a multiple root. The speed of several methods for accelerating the convergence have been compared numerically. The Madsen-Reid method proved to be the fastest, with the Aitken and Ostrowsky methods close behind.","PeriodicalId":177516,"journal":{"name":"ACM Signum Newsletter","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Signum Newsletter","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/290590.290592","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
Newton's method for solving polynomial equations converges only linearly to a multiple root. The speed of several methods for accelerating the convergence have been compared numerically. The Madsen-Reid method proved to be the fastest, with the Aitken and Ostrowsky methods close behind.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
