The rate of multiplicity of the roots of nonlinear equations and its application to iterative methods
type: Item
instance of: scholarly article
title: The rate of multiplicity of the roots of nonlinear equations and its application to iterative methods
zbMATH Open document ID: 1410.65217
published in: Applied Mathematics and Computation
publication date: 2018-08-22T00:00:00Z
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 6923428
zbMATH Keywords: iterative methods
zbMATH Keywords: nonlinear equations
zbMATH Keywords: rate of multiplicity
zbMATH Keywords: nonsimple roots
zbMATH Keywords: order of convergence
zbMATH Keywords: stability
author: V. Candela
author: R. Peris
MaRDI profile type: Publication
full work available at URL: j.amc.2015.04.092
OpenAlex ID: W323999357
cites work: Some modification of Newton's method by the method of undetermined coefficients
cites work: A third-order modification of Newton's method for multiple roots
cites work: A study of accelerated Newton methods for multiple polynomial roots
cites work: A family of Chebyshev-Halley type methods in Banach spaces
cites work: Improving the Van de Vel root-finding method
cites work: On some modified families of multipoint iterative methods for multiple roots of nonlinear equations
cites work: A new fourth-order iterative method for finding multiple roots of nonlinear equations
cites work: Fifth-order iterative method for finding multiple roots of nonlinear equations
cites work: Q5723445
cites work: The convergence of the perturbed Newton method and its application for ill-conditioned problems
cites work: Q3343091
cites work: Modified Chebyshev-Halley type method and its variants for computing multiple roots
cites work: Convergence of the Newton process to multiple solutions
cites work: Q5732060
cites work: A method for computing a root of a single nonlinear equation, including its multiplicity
cites work: Multiple root-finding methods
cites work: A variant of Newton's method with accelerated third-order convergence
DOI: 10.1016/J.AMC.2015.04.092
description: scientific article; zbMATH DE number 6923428