Ball convergence of Potra-Ptak-type method with optimal fourth order of convergence

We present a local convergence analysis Potra-Ptak-type method with optimal fourth order of convergence in order to approximate a solution of a nonlinear equation. In earlier studies such as [1], [5]-[28] hypotheses up to the fourth derivative are used. In this paper we use hypotheses up to the...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Santhosh George
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2021-11-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/1247