Local convergence of Newton's method using Kantorovich convex majorants

We are concerned with the problem of approximating a solution of an operator equation using Newton's method. Recently in the elegant work by Ferreira and Svaiter [6] a semilocal convergence analysis was provided which makes clear the relationship of the majorant function with the operator invo...

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Bibliographic Details

Published in:	Journal of Numerical Analysis and Approximation Theory
Main Author:	Ioannis K. Argyros
Format:	Article
Language:	English
Published:	Publishing House of the Romanian Academy 2010-08-01
Subjects:	Newton's method Banach space Kantorovich's majorants convex function local/semilocal convergence Fréchet-derivative
Online Access:	https://ictp.acad.ro/jnaat/journal/article/view/1029