An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations

We study the local convergence properties of inexact Newton-Gauss method for singular systems of equations. Unified estimates of radius of convergence balls for one kind of singular systems of equations with constant rank derivatives are obtained. Application to the Smale point estimate theory is pr...

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Detalles Bibliográficos
Autor principal: Zhou, Fangqin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3984777/
https://www.ncbi.nlm.nih.gov/pubmed/24790580
http://dx.doi.org/10.1155/2014/752673
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author Zhou, Fangqin
author_facet Zhou, Fangqin
author_sort Zhou, Fangqin
collection PubMed
description We study the local convergence properties of inexact Newton-Gauss method for singular systems of equations. Unified estimates of radius of convergence balls for one kind of singular systems of equations with constant rank derivatives are obtained. Application to the Smale point estimate theory is provided and some important known results are extended and/or improved.
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spelling pubmed-39847772014-04-30 An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations Zhou, Fangqin ScientificWorldJournal Research Article We study the local convergence properties of inexact Newton-Gauss method for singular systems of equations. Unified estimates of radius of convergence balls for one kind of singular systems of equations with constant rank derivatives are obtained. Application to the Smale point estimate theory is provided and some important known results are extended and/or improved. Hindawi Publishing Corporation 2014-03-26 /pmc/articles/PMC3984777/ /pubmed/24790580 http://dx.doi.org/10.1155/2014/752673 Text en Copyright © 2014 Fangqin Zhou. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Zhou, Fangqin
An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations
title An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations
title_full An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations
title_fullStr An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations
title_full_unstemmed An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations
title_short An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations
title_sort analysis on local convergence of inexact newton-gauss method for solving singular systems of equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3984777/
https://www.ncbi.nlm.nih.gov/pubmed/24790580
http://dx.doi.org/10.1155/2014/752673
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