Eighth order family of iterative methods for nonlinear equations and their basins of attraction
type: Item
instance of: scholarly article
title: Eighth order family of iterative methods for nonlinear equations and their basins of attraction
zbMATH Open document ID: 1391.65138
author: Dragoslav Herceg
author: Djordje Herceg
published in: Journal of Computational and Applied Mathematics
publication date: 2018-06-20T00:00:00Z
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 6892282
zbMATH Keywords: nonlinear equation
zbMATH Keywords: Newton's method
zbMATH Keywords: eighth order methods
zbMATH Keywords: iterative methods
zbMATH Keywords: Basins of attraction
MaRDI profile type: Publication
full work available at URL: j.cam.2018.04.040
OpenAlex ID: W2806752501
cites work: Some new variants of Newton's method.
cites work: Some improvements of Jarratt's method with sixth-order convergence
cites work: A family of methods for solving nonlinear equations
cites work: Sixth-order modifications of Newton's method based on Stolarsky and Gini means
cites work: Third-order modifications of Newton's method based on Stolarsky and Gini means
cites work: Means based modifications of Newton's method for solving nonlinear equations
cites work: Two new classes of optimal Jarratt-type fourth-order methods
cites work: New variants of Jarratt's method with sixth-order convergence
cites work: On Newton-type methods with cubic convergence
cites work: Optimal Order of One-Point and Multipoint Iteration
cites work: On Chebyshev-Halley methods with sixth-order convergence for solving non-linear equations
cites work: An optimal eighth-order derivative-free family of Potra-Pták's method
cites work: A family of three-point methods of optimal order for solving nonlinear equations
cites work: A sixth order method for nonlinear equations
cites work: A new family of optimal eighth order methods with dynamics for nonlinear equations
cites work: Some novel and optimal families of King's method with eighth and sixteenth-order of convergence
cites work: New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence
cites work: A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence
cites work: A new optimal eighth-order family of iterative methods for the solution of nonlinear equations
cites work: Some eighth-order root-finding three-step methods
cites work: A new eighth-order iterative method for solving nonlinear equations
cites work: Three-step iterative methods with eighth-order convergence for solving nonlinear equations
cites work: A new family of eighth-order iterative methods for solving nonlinear equations
cites work: Modified Ostrowski's method with eighth-order convergence and high efficiency index
cites work: A new general eighth-order family of iterative methods for solving nonlinear equations
cites work: On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency
cites work: A non-iterative method for solving non-linear equations
Wikidata QID: Q129846426
DOI: 10.1016/J.CAM.2018.04.040
description: scientific article; zbMATH DE number 6892282