Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative

This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is used to prove the convergence of the method. That...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Santhosh George
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2017-12-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Subjects:
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/253