A class of quasi-Newton generalized Steffensen methods on Banach spaces
type: Item
instance of: scholarly article
title: A class of quasi-Newton generalized Steffensen methods on Banach spaces
zbMATH Open document ID: 1016.65035
DOI: 10.1016/S0377-0427(02)00484-3
author: Sergio Amat
author: S. Busquier
author: V. Candela
published in: Journal of Computational and Applied Mathematics
publication date: 2003-02-23T00:00:00Z
review text: The authors consider a class of generalized Steffensen iteration procedure for solving nonlinear equations in Banach spaces without any derivative. The convergence under the Kantorovich-Ostrowski's conditions is established. A numerical comparison with classical methods is presented.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 1872925
zbMATH Keywords: generalized Steffensen methods
zbMATH Keywords: nonlinear operator equations
zbMATH Keywords: Kantorovich conditions
zbMATH Keywords: Banach spaces
zbMATH Keywords: convergence
zbMATH Keywords: numerical comparison
reviewed by: Karel Najzar
MaRDI profile type: Publication
cites work: On the convergence of a class of generalized steffensen's iterative procedures and error analysis
cites work: Q5652137
full work available at URL: s0377-0427(02)00484-3
OpenAlex ID: W2017638976
description: scientific article; zbMATH DE number 1872925