Extended sufficient semilocal convergence for the secant method
type: Item
instance of: scholarly article
title: Extended sufficient semilocal convergence for the secant method
zbMATH Open document ID: 1228.65083
author: Ioannis Konstantinos Argyros
author: Saïd Hilout
author: Yeol Je Cho
publication date: 2011-12-18T00:00:00Z
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 5989202
zbMATH Keywords: recurrent functions
zbMATH Keywords: semilocal convergence
zbMATH Keywords: secant method
zbMATH Keywords: Banach space
zbMATH Keywords: majorizing sequence
zbMATH Keywords: divided difference
MaRDI profile type: Publication
full work available at URL: j.camwa.2011.05.040
OpenAlex ID: W2086709614
cites work: Convergence and Applications of Newton-type Iterations
cites work: Q3577681
cites work: Q3943431
cites work: A multipoint method of third order
cites work: Q4745210
cites work: On an iterative algorithm of order 1.839… for solving nonlinear operator equations∗)
cites work: Q3702853
cites work: Solving a special case of conservative problems by secant-like methods
cites work: Q4401507
cites work: Secant-like methods for solving nonlinear integral equations of the Hammerstein type
cites work: Q5652137
cites work: A convergence theorem for Newton-like methods in Banach spaces
cites work: On the Newton-Kantorovich hypothesis for solving equations
cites work: A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
cites work: Q5588027
cites work: General local convergence theory for a class of iterative processes and its applications to Newton's method
cites work: New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
cites work: Untere Fehlerschranken für Regula-Falsi-Verfahren
cites work: Extended iterative methods for the solution of operator equations
cites work: New sufficient convergence conditions for the secant method
cites work: Convergence conditions for secant-type methods
DOI: 10.1016/J.CAMWA.2011.05.040
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 5989202