A derivative free iterative method for solving least squares problems
type: Item
instance of: scholarly article
title: A derivative free iterative method for solving least squares problems
zbMATH Open document ID: 1279.90197
author: Hongmin Ren
author: Ioannis Konstantinos Argyros
author: Saïd Hilout
published in: Numerical Algorithms
publication date: 2011-12-14T00:00:00Z
review text: This paper analyses a derivative-free solution approach for nonlinear least squares problems. For this purpose, the step computation is based on the Kurchatov operator. The authors prove quadratic local convergence of the method using standard assumptions. Furthermore, they made several comments on the convergence result stated in a previous paper by Shakhno and Gnatyshyn. A numerical study is presented for one parameter dependent nonlinear least squares problem. This contains also a comparison with a secant method.
reviewed by: Andrea Walther
Mathematics Subject Classification ID: 90C56
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 5988287
zbMATH Keywords: nonlinear least squares problem
zbMATH Keywords: Kurchatov operator
zbMATH Keywords: derivative-free method
describes a project that uses: minpack
MaRDI profile type: Publication
full work available at URL: s11075-011-9470-9
OpenAlex ID: W1989135984
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DOI: 10.1007/S11075-011-9470-9
description: scientific article; zbMATH DE number 5988287