Convergence ball and error analysis of a family of iterative methods with cubic convergence
type: Item
instance of: scholarly article
title: Convergence ball and error analysis of a family of iterative methods with cubic convergence
zbMATH Open document ID: 1177.65083
author: Hongmin Ren
author: Qingbiao Wu
published in: Applied Mathematics and Computation
publication date: 2009-03-30T00:00:00Z
review text: A family of iterative methods covering various third order variants of Newton's method is proposed, and their convergence is studied. Assuming Lipschitz continuous second derivatives, cubic convergence is obtained. Some numerical examples are included.
reviewed by: János Karátson
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 5534872
zbMATH Keywords: Convergence ball
zbMATH Keywords: error analysis
zbMATH Keywords: iterative methods
zbMATH Keywords: cubic convergence
zbMATH Keywords: variants of Newton's method
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.amc.2008.12.057
OpenAlex ID: W2040738563
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DOI: 10.1016/J.AMC.2008.12.057
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description: scientific article; zbMATH DE number 5534872