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
Descripción
Sumario: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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