Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations
type: Item
instance of: scholarly article
title: Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations
zbMATH Open document ID: 1326.65022
author: Ioannis Konstantinos Argyros
author: Ángel Alberto Magreñán
published in: S\(\vec{\text{e}}\)MA Journal
publication date: 2015-11-13T00:00:00Z
review text: The local convergence of a method presented by Cordero et al. (see references [10, 12-14] in the paper under review) of convergence order at least five to approximate a locally unique solution of a nonlinear equation is studied. The convergence in this study is shown under hypotheses on the first derivative. The applicability of the method is expanded. Numerical examples are provided.
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65D99
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 6508593
zbMATH Keywords: ball convergence
zbMATH Keywords: local convergence
zbMATH Keywords: order of convergence
zbMATH Keywords: convergence planes and nonlinear equations
reviewed by: Anton Iliev
MaRDI profile type: Publication
full work available at URL: s40324-015-0047-8
OpenAlex ID: W1142087095
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DOI: 10.1007/S40324-015-0047-8
description: scientific article; zbMATH DE number 6508593