On the local convergence of the Modified Newton method

The aim of this paper is to investigate the local convergence of the Modified Newton method, i.e. the classical Newton method in which the first derivative is re-evaluated periodically after m steps. The convergence order is shown to be m + 1. A new algorithm is proposed for the estimation the conve...

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Bibliographic Details
Main Author: Măruşter Ştefan
Format: Article
Language:English
Published: Sciendo 2019-06-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.2478/awutm-2019-0003