A minimal norm corrected underdetermined Gauß-Newton procedure
type: Item
instance of: scholarly article
title: A minimal norm corrected underdetermined Gauß-Newton procedure
zbMATH Open document ID: 1245.65106
author: Stephen L. Campbell
author: Peter Kunkel
author: Karen Bobinyec
published in: Applied Numerical Mathematics
publication date: 2012-05-07T00:00:00Z
review text: A modified classical Gauss-Newton iteration method is presented to solve a system of equations that has a manifold of solutions. It is designed to keep the non-unique part of the solution small in some sense. The iteration scheme is developed and its convergence properties is analyzed. As an illustration, the method is applied to the integration of certain differential algebraic equations.
Mathematics Subject Classification ID: 65L80
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6031272
zbMATH Keywords: nonlinear equations
zbMATH Keywords: least squares solutions
zbMATH Keywords: minimal norm solutions
zbMATH Keywords: modified Gauss-Newton method
zbMATH Keywords: differential algebraic equations
Wikidata QID: Q57431867
describes a project that uses: GELDA
describes a project that uses: GENDA
describes a project that uses: NewtonLib
MaRDI profile type: Publication
full work available at URL: j.apnum.2012.01.006
OpenAlex ID: W2082727968
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DOI: 10.1016/J.APNUM.2012.01.006
description: scientific article; zbMATH DE number 6031272