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
Main Author: Ioannis K. Argyros
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2010-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/1029