On Newton's method for subanalytic equations

We present local and semilocal convergence results for Newton’s method in order to approximate solutions of subanalytic equations. The local convergence results are given under weaker conditions than in earlier studies such as [9], [10], [14], [15], [24], [25], [26], resulting to a larger convergen...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Santhosh George
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2017-09-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/1132