Ball convergence of a novel Newton-Traub composition for solving equations

We present a local convergence analysis of a Newton-Traub composition method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The method was shown to be of convergence order five, if defined on the $ m- $dimensional Euclidean space using Taylor’s e...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Santhosh George
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2016.1155333