On a new method for computing the numerical solution of systems of nonlinear equations
type: Item
instance of: scholarly article
title: On a new method for computing the numerical solution of systems of nonlinear equations
zbMATH Open document ID: 1268.65075
DOI: 10.1155/2012/751975
author: Yanyan Li
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: We consider a system of nonlinear equations \(F(\mathbf{x}) = 0\). A new iterative method for solving this problem numerically is suggested. The analytical discussions of the method are provided to reveal its sixth order of convergence. A discussion on the efficiency index of the contribution with comparison to the other iterative methods is also given. Finally, numerical tests illustrate the theoretical aspects using the programming package Mathematica.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 6169971
zbMATH Keywords: numerical examples
zbMATH Keywords: system of nonlinear equations
zbMATH Keywords: iterative method
zbMATH Keywords: sixth order of convergence
zbMATH Keywords: efficiency index
Wikidata QID: Q58907297
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/751975
OpenAlex ID: W2158858295
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DBLP publication ID: journals/jam/MontazeriSSM12
description: scientific article; zbMATH DE number 6169971