A switching-method for nonlinear systems
type: Item
instance of: scholarly article
title: A switching-method for nonlinear systems
zbMATH Open document ID: 0856.65057
DOI: 10.1016/0377-0427(95)00226-X
author: Stefania Bellavia
author: M. G. Gasparo
author: M. Macconi
published in: Journal of Computational and Applied Mathematics
publication date: 1996-07-28T00:00:00Z
review text: The paper is intended to present an iterative method for the solution of nonlinear equations. This method consist in combining a direct search method and a damped approximate Newton method in order to avoid the computation of the Jacobian. The obtained hybrid method (called switching-method, due to the fact that at each iteration just one of the above mentioned iterative schemes is selected) shows a quadratic global convergence. Numerical results are also given.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 910304
zbMATH Keywords: numerical results
zbMATH Keywords: iterative method
zbMATH Keywords: nonlinear equations
zbMATH Keywords: direct search method
zbMATH Keywords: Newton method
zbMATH Keywords: switching-method
zbMATH Keywords: quadratic global convergence
reviewed by: Vasile Berinde
describes a project that uses: minpack
MaRDI profile type: Publication
cites work: Efficient Numerical Validation of Solutions of Nonlinear Systems
cites work: Q3702408
cites work: Q3471640
cites work: Testing Unconstrained Optimization Software
cites work: Q5652137
cites work: On the Convergence of the Multidirectional Search Algorithm
full work available at URL: 0377-0427(95)00226-x
OpenAlex ID: W2042159676
description: scientific article; zbMATH DE number 910304