Ball convergence theorem for inexact Newton methods in Banach space


Argyros, Ioannis K.   and  George, Santhosh


Abstract

creative_2020_29_2_113_120_abstract

DOI: https://doi.org/10.37193/CMI.2020.02.01

We present a local convergence analysis for inexact Newton methods in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Frèchet-derivative of the operator involved. Numerical examples are also provided in this study.

Additional Information

Author(s)

Argyros, Ioannis K.  , George, Santhosh