Expanding the applicability of Newton-Tikhonov method for ill-posed equations

We present a new semilocal convergence analysis of Newton- Tikhonov methods for solving ill-posed operator equations in a Hilbert space setting. Using more precise majorizing sequences and under the same computational cost as in earlier studies such as [13]-[20], we provide: weaker sufficient conve...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Santhosh George
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2014-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/1025