Relaxed secant-type methods
type: Item
instance of: scholarly article
zbMATH Open document ID: 1307.65074
publication date: 2014-10-14T00:00:00Z
full work available at URL: http://www.nonlinearstudies.com/index.php/nonlinear/article/view/831/675
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 6355107
zbMATH Keywords: secant-type methos
zbMATH Keywords: Banach space
zbMATH Keywords: majorizing sequence
zbMATH Keywords: divided difference
zbMATH Keywords: local convergence
zbMATH Keywords: semilocal convergence
zbMATH Keywords: nonlinear operator equation
author: Ioannis Konstantinos Argyros
author: Ángel Alberto Magreñán
MaRDI profile type: Publication
title: Relaxed secant-type methods
published in: Nonlinear Studies
review text: The authors present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Under the same computational cost, using both Lipschtiz and center Lipschitz conditions, the new covergence criterion is weak.
reviewed by: Zhihua Zhang
description: scientific article; zbMATH DE number 6355107