Local Convergence and Radius of Convergence for Modified Newton Method

We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated. Based on the convergence properties of Picard iteration for demicontractive mappings, we give an algorithm to estimate the local radius of convergen...

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Bibliographic Details
Main Author: Măruşter Ştefan
Format: Article
Language:English
Published: Sciendo 2017-12-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.1515/awutm-2017-0020