On a bi-parametric class of optimal eighth-order derivative-free methods
type: Item
instance of: scholarly article
zbMATH Open document ID: 1248.65050
author: Fazlollah Soleymani
publication date: 2012-07-05T00:00:00Z
full work available at URL: index.html
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 6053400
zbMATH Keywords: nonlinear scalar equations
zbMATH Keywords: optimality
zbMATH Keywords: order of convergence
zbMATH Keywords: derivate-free methods
zbMATH Keywords: simple root
zbMATH Keywords: without memory iterations
zbMATH Keywords: Newton's method
zbMATH Keywords: Steffensen's method
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
title: On a bi-parametric class of optimal eighth-order derivative-free methods
published in: International Journal of Pure and Applied Mathematics
review text: Given a nonlinear equation of one variate \(f(x)=0\). There are many well-known methods of finding the solution of the equation. Among them are Newton's method and Steffensen's method. A new three-step derivative-free class of eighth-order methods is proposed in the paper. Optimality conditions of these methods are established. Numerical examples that illustrate the proposed methods are given at the end of the article.
reviewed by: Mykhaylo Pahirya
description: scientific article; zbMATH DE number 6053400