Improved local analysis for a certain class of iterative methods with cubic convergence
type: Item
instance of: scholarly article
title: Improved local analysis for a certain class of iterative methods with cubic convergence
zbMATH Open document ID: 1317.65127
author: Hongmin Ren
author: Ioannis Konstantinos Argyros
published in: Numerical Algorithms
publication date: 2012-04-04T00:00:00Z
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 6022118
zbMATH Keywords: Banach space
zbMATH Keywords: iterative methods
zbMATH Keywords: local convergence
zbMATH Keywords: radius of convergence
zbMATH Keywords: convergence ball
MaRDI profile type: Publication
full work available at URL: s11075-011-9501-6
OpenAlex ID: W2024554524
cites work: A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
cites work: An analysis of the properties of the variants of Newton's method with third order convergence
cites work: Convergence ball and error analysis of the Ostrowski-Traub method
cites work: A new modification of Newton's method
cites work: The convergence ball of Newton's method and the uniqueness ball of equations under Hölder-type continuous derivatives
cites work: Convergence ball of iterations with one parameter
cites work: The convergence ball of the secant method under Hölder continuous divided differences
cites work: Convergence ball and error analysis of a family of iterative methods with cubic convergence
cites work: On convergence of the modified Newton's method under Hölder continuous Fréchet derivative
cites work: Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative
cites work: Q5732060
cites work: Convergence and Complexity of Newton Iteration for Operator Equations
cites work: A variant of Newton's method with accelerated third-order convergence
cites work: Convergence ball of a modified secant method for finding zero of derivatives
cites work: Convergence ball and error analysis of Muller's method
cites work: The convergence ball of Wang's method for finding a zero of a derivative
DOI: 10.1007/S11075-011-9501-6
description: scientific article; zbMATH DE number 6022118