A new third-order Newton-type iterative method for solving nonlinear equations
type: Item
instance of: scholarly article
title: A new third-order Newton-type iterative method for solving nonlinear equations
zbMATH Open document ID: 1290.65044
author: Gheorghe Ardelean
published in: Applied Mathematics and Computation
publication date: 2014-06-20T00:00:00Z
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 6305695
zbMATH Keywords: Newton's method
zbMATH Keywords: iterative methods
zbMATH Keywords: real roots
zbMATH Keywords: basin of attraction
MaRDI profile type: Publication
full work available at URL: j.amc.2013.03.131
OpenAlex ID: W1991800567
cites work: A comparison between iterative methods by using the basins of attraction
cites work: Some fourth-order modifications of Newton's method
cites work: Q4354453
cites work: Some higher-order modifications of Newton's method for solving nonlinear equations
cites work: On Newton-type methods with cubic convergence
cites work: A new two-step biparametric family of sixth-order iterative methods free from second derivatives for solving nonlinear algebraic equations
cites work: A family of fifth-order iterations composed of Newton and third-order methods
cites work: Eighth-order methods with high efficiency index for solving nonlinear equations
cites work: Some new variants of Newton's method.
cites work: Basin attractors for various methods
cites work: Q5732060
cites work: Graphic and numerical comparison between iterative methods
cites work: A variant of Newton's method with accelerated third-order convergence
DOI: 10.1016/J.AMC.2013.03.131
description: scientific article; zbMATH DE number 6305695