Newton's method and regularly smooth operators

A semilocal convergence analysis for Newton's method in a Banach space setting is provided in this study. Using a combination of regularly smooth and center regularly smooth conditions on the operator involved, we obtain more precise majorizing sequences than in [7]. It then follows that under...

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Bibliographic Details
Main Author: Ioannis K. Argyros
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2011-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/946