The convergence of quasi-Gauss-Newton methods for nonlinear problems
type: Item
instance of: scholarly article
title: The convergence of quasi-Gauss-Newton methods for nonlinear problems
zbMATH Open document ID: 0831.65056
DOI: 10.1016/0898-1221(95)00027-V
author: Sunyoung Kim
author: R. P. Tewarson
publication date: 1995-07-26T00:00:00Z
review text: This paper considers quasi-Newton-Gauss methods for solving nonlinear algebraic equations \(f : \mathbb{R}^n \to \mathbb{R}^n\), \(f(x) = 0\). A rank-2 update technique of the Jacobian \(f'(x)\) is proposed for the iterations. Convergence and implementation of the method are discussed.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 779211
zbMATH Keywords: convergence
zbMATH Keywords: quasi-Newton-Gauss methods
zbMATH Keywords: nonlinear algebraic equations
zbMATH Keywords: rank-2 update
reviewed by: Zhen Mei
describes a project that uses: minpack
MaRDI profile type: Publication
cites work: A quasi-Gauss-Newton method for solving nonlinear algebraic equations
cites work: Methods for Modifying Matrix Factorizations
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cites work: Quasi-Newton Methods, Motivation and Theory
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cites work: Q3702408
cites work: Testing Unconstrained Optimization Software
cites work: An Evaluation of Mathematical Software That Solves Systems of Nonlinear Equations
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 779211