The Steffensen iteration method for systems of nonlinear equations
type: Item
instance of: scholarly article
title: The Steffensen iteration method for systems of nonlinear equations
zbMATH Open document ID: 0575.65041
author: Tatsuo Noda
published in: Proceedings of the Japan Academy. Series A
publication date: 1984-01-01T00:00:00Z
review text: The Steffensen iteration method is considered. The author derives an error estimate \(\| x^{(k+1)}-\bar x\| \leq M\| x^{(k)}-\bar x\|^ 2\), where \(x^{(k)}\), \(k=0,1,...\), are the approximations to the exact solution \(\bar x,\) without connecting it to the convergence analysis of the iteration method.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 3919662
zbMATH Keywords: Steffensen iteration method
zbMATH Keywords: error estimate
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: pjaa.60.18
OpenAlex ID: W2019381760
cites work: Q5528098
cites work: Q3768274
cites work: Q5652137
DOI: 10.3792/PJAA.60.18
description: scientific article; zbMATH DE number 3919662