Convergence analysis of the modified Chebyshev's method for finding multiple roots
type: Item
instance of: scholarly article
title: Convergence analysis of the modified Chebyshev's method for finding multiple roots
zbMATH Open document ID: 1483.65078
author: Rongfei Lin
author: Hongmin Ren
author: Y. Khan
author: Juelian Hu
author: Qingbiao Wu
published in: Vietnam Journal of Mathematics
publication date: 2021-12-03T00:00:00Z
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 7438381
zbMATH Keywords: Chebyshev's method
zbMATH Keywords: nonlinear equations
zbMATH Keywords: multiple roots
zbMATH Keywords: Hölder condition
zbMATH Keywords: local convergence
zbMATH Keywords: radius of convergence
MaRDI profile type: Publication
full work available at URL: s10013-020-00470-8
OpenAlex ID: W3120037707
cites work: On the global convergence of Chebyshev's iterative method
cites work: An optimal and efficient general eighth-order derivative free scheme for simple roots
cites work: Convergence of the modified Halley's method for multiple zeros under Hölder continuous derivative
cites work: Recurrence relations for rational cubic methods. II: The Chebyshev method
cites work: Chebyshev-Halley's method on Riemannian manifolds
cites work: Comparative study of methods of various orders for finding repeated roots of nonlinear equations
cites work: New families of nonlinear third-order solvers for finding multiple roots
cites work: A family of root finding methods
cites work: On Newton-type methods for multiple roots with cubic convergence
cites work: Review of some iterative methods for solving nonlinear equations with multiple zeros
cites work: On some modified families of multipoint iterative methods for multiple roots of nonlinear equations
cites work: Local convergence analysis for Chebyshev's method
cites work: Q5474478
cites work: Extension of Murakami's high-order non-linear solver to multiple roots
cites work: The convergence ball of the secant method under Hölder continuous divided differences
cites work: Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative
cites work: ON A CLASS OF EFFICIENT HIGHER ORDER NEWTON-LIKE METHODS
cites work: Q3857636
cites work: Convergence and Complexity of Newton Iteration for Operator Equations
cites work: The convergence ball of Wang's method for finding a zero of a derivative
cites work: Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations
DOI: 10.1007/S10013-020-00470-8
description: scientific article; zbMATH DE number 7438381