Ball convergence theorems for eighth-order variants of Newton's method under weak conditions
type: Item
instance of: scholarly article
title: Ball convergence theorems for eighth-order variants of Newton's method under weak conditions
zbMATH Open document ID: 1328.65111
author: Ioannis Konstantinos Argyros
author: Santhosh George
published in: Arabian Journal of Mathematics
publication date: 2015-11-06T00:00:00Z
review text: New local convergence analysis for an eighth-order method for solving equations based on contractive techniques and Lipschitz constants under hypotheses only on the first derivative is presented. A computable radius of convergence as well as error estimates are provided.
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 6505709
zbMATH Keywords: ball convergence
zbMATH Keywords: Newton method
zbMATH Keywords: Lipschitz constants
zbMATH Keywords: error estimates
zbMATH Keywords: error bounds
zbMATH Keywords: local convergence
zbMATH Keywords: eighth-order method
reviewed by: Anton Iliev
MaRDI profile type: Publication
full work available at URL: s40065-015-0128-7
OpenAlex ID: W2071263832
Wikidata QID: Q59412426
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DOI: 10.1007/S40065-015-0128-7
description: scientific article; zbMATH DE number 6505709