Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition

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 speci...

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Bibliographic Details
Main Authors: Xiubin Xu, Yuan Xiao, Tao Liu
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/982925
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