Third order iterative methods free from second derivative for nonlinear systems
type: Item
instance of: scholarly article
title: Third order iterative methods free from second derivative for nonlinear systems
zbMATH Open document ID: 1190.65084
author: José L. Hueso
author: Eulalia Martínez
author: Juan Ramón Torregrosa Sánchez
published in: Applied Mathematics and Computation
publication date: 2009-10-09T00:00:00Z
review text: A family of predictor-corrector methods free from second derivative for solving nonlinear systems is presented. It's proven that the methods of this family are of third-order convergence. The numerical tests that allow to compare these methods with Newton's method are performed. In addition, the numerical examples improve theoretical results, showing super cubic convergence for some methods of this family.
reviewed by: Juri M. Rappoport
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 5612874
zbMATH Keywords: Newton's method
zbMATH Keywords: predictor-corrector method
zbMATH Keywords: convergence order
MaRDI profile type: Publication
full work available at URL: j.amc.2009.04.046
OpenAlex ID: W2036152691
cites work: An iterative method with cubic convergence for nonlinear equations
cites work: A uniparametric Chebyshev-type method free from second derivatives
cites work: Second-derivative-free variant of the Chebyshev method for nonlinear equations
cites work: Chebyshev's approximation algorithms and applications
cites work: Q5652137
cites work: A variant of Newton's method with accelerated third-order convergence
DOI: 10.1016/J.AMC.2009.04.046
Recommended article: Third-order iterative methods free from second derivatives for nonlinear equation
Recommended article: Third and fourth order iterative methods free from second derivative for nonlinear systems
Recommended article: Third-order iterative methods free from second derivative
Recommended article: Q3560831
Recommended article: Q4585708
Recommended article: Q4818712
Recommended article: Constructing third-order derivative-free iterative methods
Recommended article: Q3119453
Recommended article: Some iterative methods free from second derivatives for nonlinear equations
Recommended article: Dynamics of a family of third-order iterative methods that do not require using second derivatives
description: scientific article; zbMATH DE number 5612874