Basins of attraction for several third order methods to find multiple roots of nonlinear equations
type: Item
instance of: scholarly article
title: Basins of attraction for several third order methods to find multiple roots of nonlinear equations
zbMATH Open document ID: 1410.65151
author: Changbum Chun
author: Beny Neta
published in: Applied Mathematics and Computation
publication date: 2019-03-18T00:00:00Z
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 7037664
zbMATH Keywords: iterative methods
zbMATH Keywords: order of convergence
zbMATH Keywords: basin of attraction
zbMATH Keywords: multiple roots
MaRDI profile type: Publication
full work available at URL: j.amc.2015.06.068
OpenAlex ID: W842487067
cites work: Q4060241
cites work: Q5732060
cites work: A new family of higher order methods for solving equations
cites work: Q5326192
cites work: A family of root finding methods
cites work: An optimal multiple root-finding method of order three
cites work: New third order nonlinear solvers for multiple roots
cites work: A general family of third order method for finding multiple roots
cites work: Q4749099
cites work: A higher order method for multiple zeros of nonlinear functions
cites work: A third-order modification of Newton's method for multiple roots
cites work: On Newton-type methods for multiple roots with cubic convergence
cites work: Cubic convergence of parameter-controlled Newton-secant method for multiple zeros
cites work: On a family of Laguerre methods to find multiple roots of nonlinear equations
cites work: Q3413866
cites work: Dynamics of a family of third-order iterative methods that do not require using second derivatives
cites work: Dynamics of the King and Jarratt iterations
cites work: Basin attractors for various methods
cites work: On optimal fourth-order iterative methods free from second derivative and their dynamics
cites work: Complex dynamics of derivative-free methods for nonlinear equations
cites work: Chaos in King's iterative family
cites work: Basins of attraction for several methods to find simple roots of nonlinear equations
cites work: On the convergence of an optimal fourth-order family of methods and its dynamics
cites work: Different anomalies in a Jarratt family of iterative root-finding methods
cites work: Basin attractors for various methods for multiple roots
cites work: Basins of attraction for several optimal fourth order methods for multiple roots
cites work: Basins of attraction for Zhou-Chen-song fourth order family of methods for multiple roots
DOI: 10.1016/J.AMC.2015.06.068
description: scientific article; zbMATH DE number 7037664