On the Vykhandu-Levin iterative method for numerical solution of nonlinear systems
type: Item
instance of: scholarly article
title: On the Vykhandu-Levin iterative method for numerical solution of nonlinear systems
zbMATH Open document ID: 0861.65046
DOI: 10.1016/0377-0427(95)00136-0
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 1997-05-22T00:00:00Z
review text: The main purpose of this paper is to show that the Vykhandu-Levin method, which is briefly derived, converges only quadratically. It was originally claimed that the method is of cubic convergence rate, but there was a flaw in the argument as one of the assumed conditions can not be satisfied. The proof also shows that early observations on faster than quadratic convergence in the univariate case were correct, as here the one obtains cubic convergence.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 908427
zbMATH Keywords: Vykhandu-Levin iterative method
zbMATH Keywords: quadratic convergence
zbMATH Keywords: cubic convergence
reviewed by: Hermann G. Matthies
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00136-0
OpenAlex ID: W2088603696
cites work: AN ITERATIVE METHOD FOR THE SOLUTION OF SYSTEMS OF NON-LINEAR EQUATIONS
cites work: Q5652137
cites work: Q5732060
cites work: Q3277667
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description: scientific article; zbMATH DE number 908427