On the local convergence of the Modified Newton method-Reference-Cited by-同舟云学术

On the local convergence of the Modified Newton method

Published:2019-06-01 Issue:1 Volume:57 Page:13-22
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Măruşter Ştefan¹

Affiliation:

1. Department of Computer Science , West University of Timisoara , B-l V. Parvan nr. 4 , Timisoara , Romania

Abstract

Abstract 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 convergence radius of the method. We propose also a threshold for the number of steps after which is recommended to re-evaluate the first derivative in the Modified Newton method.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/awutm-2019-0003

Reference9 articles.

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