Local Convergence Analysis of an Efficient Fourth Order Weighted-Newton Method under Weak Conditions

Local convergence analysis of a fourth order method considered by Sharma et. al in [19] for solving systems of nonlinear equations. Using conditions on derivatives upto the order five, they proved that the method is of order four. In this study using conditions only on the first derivative, we prove...

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Bibliographic Details
Main Authors: Argyros Ioannis K., George Santhosh
Format: Article
Language:English
Published: Sciendo 2018-07-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.2478/awutm-2018-0002