Weaker conditions for the convergence of Newton-like methods

We provide a semilocal convergence analysis for a certain class of Newton-like methods for the solution of a nonlinear equation containing a non differentiable term. Our approach provides: weaker sufficient conditions; finer error bounds on the distances involved; a more precise information on the l...

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Bibliographic Details
Main Author: Ioannis K. Argyros
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2007-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/854