Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative
type: Item
instance of: scholarly article
title: Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative
zbMATH Open document ID: 1205.65174
author: Hongmin Ren
author: Ioannis Konstantinos Argyros
published in: Applied Mathematics and Computation
publication date: 2010-10-25T00:00:00Z
review text: Finding the zeros of a nonlinear equation on an interval is one of the most important problem in numerical analysis. A modified Newton method for multiple zeros studied in this paper. An estimate for the convergence radius of this method when the involved function satisfies a Hölder and center-Hölder continuity condition is obtained. Numerical examples illustrate these results.
reviewed by: Mykhaylo Pahirya
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 5804917
zbMATH Keywords: nonlinear equation
zbMATH Keywords: zero-finding
zbMATH Keywords: modified Newton method
zbMATH Keywords: multiple zeros
zbMATH Keywords: convergence radius
zbMATH Keywords: Hölder condition
zbMATH Keywords: divided differences
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.amc.2010.05.098
OpenAlex ID: W2069387337
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DOI: 10.1016/J.AMC.2010.05.098
description: scientific article; zbMATH DE number 5804917