一类新的多参数类牛顿方法

Applied Numerical Analysis & Computational Mathematics Pub Date : 2005-04-12 DOI:10.1002/anac.200410025

M. A. Hernández, N. Romero

{"title":"一类新的多参数类牛顿方法","authors":"M. A. Hernández, N. Romero","doi":"10.1002/anac.200410025","DOIUrl":null,"url":null,"abstract":"The main subject of this paper is the characterization of a modified family of Newton-type iterative processes of R-order at least three to approximate a solution of a nonlinear equation in Banach spaces. We weaken the usual semilocal convergence conditions, for this type of iterative processes, assuming that the second derivative is ω-conditioned. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)","PeriodicalId":100108,"journal":{"name":"Applied Numerical Analysis & Computational Mathematics","volume":"2 1","pages":"78-88"},"PeriodicalIF":0.0000,"publicationDate":"2005-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/anac.200410025","citationCount":"10","resultStr":"{\"title\":\"On a new multiparametric family of Newton-like methods\",\"authors\":\"M. A. Hernández, N. Romero\",\"doi\":\"10.1002/anac.200410025\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main subject of this paper is the characterization of a modified family of Newton-type iterative processes of R-order at least three to approximate a solution of a nonlinear equation in Banach spaces. We weaken the usual semilocal convergence conditions, for this type of iterative processes, assuming that the second derivative is ω-conditioned. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)\",\"PeriodicalId\":100108,\"journal\":{\"name\":\"Applied Numerical Analysis & Computational Mathematics\",\"volume\":\"2 1\",\"pages\":\"78-88\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1002/anac.200410025\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Numerical Analysis & Computational Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/anac.200410025\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Numerical Analysis & Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/anac.200410025","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 10

摘要

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On a new multiparametric family of Newton-like methods

The main subject of this paper is the characterization of a modified family of Newton-type iterative processes of R-order at least three to approximate a solution of a nonlinear equation in Banach spaces. We weaken the usual semilocal convergence conditions, for this type of iterative processes, assuming that the second derivative is ω-conditioned. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Applied Numerical Analysis & Computational Mathematics

自引率

0.00%

发文量