An efficient Newton-type method with fifth-order convergence for solving nonlinear equations
type: Item
instance of: scholarly article
title: An efficient Newton-type method with fifth-order convergence for solving nonlinear equations
zbMATH Open document ID: 1161.65040
author: Liang Fang
author: Li Sun
author: Guoping He
published in: Computational and Applied Mathematics
publication date: 2009-02-24T00:00:00Z
review text: The authors propose an efficient Newton-like method of fifth order for solving scalar nonlinear equations. The new method is an extension of Newton's method and its application requires four evaluations of the given function and its first derivative, at each iteration. From the efficiency index point of view, the new iterative method has this index 1.4953, better than that of Newton's method 1.4142. Numerical examples are performed and a comparison test to other known iterative methods is made. An analysis of efficiency shows that the new algorithm is more efficient and it performs better than the classical Newton method and some other methods.
reviewed by: Iulian Coroian
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 5510834
zbMATH Keywords: Newton's method
zbMATH Keywords: iterative methods
zbMATH Keywords: nonlinear scalar equations
zbMATH Keywords: efficiency index
zbMATH Keywords: comparison of methods
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5510834