Semilocal convergence analysis for inexact Newton method under weak condition
type: Item
instance of: scholarly article
title: Semilocal convergence analysis for inexact Newton method under weak condition
zbMATH Open document ID: 1246.90146
DOI: 10.1155/2012/982925
author: Xiubin Xu
author: Yuan Xiao
author: Tao Liu
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: Summary: Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented. Unified convergence criteria ensuring the convergence of inexact Newton method are also established. Applications to some special cases such as the Kantorovich type conditions and \(\gamma\)-Conditions are provided and some well-known convergence theorems for Newton's method are obtained as corollaries.
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6078850
zbMATH Keywords: semilocal convergence analysis
zbMATH Keywords: inexact Newton method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/982925
OpenAlex ID: W2096311100
Wikidata QID: Q58697228
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description: scientific article; zbMATH DE number 6078850