Newton-Kantorovich-Vietoris method
Functional Analysis
2017-10-20 v1 Classical Analysis and ODEs
Abstract
In this short work we consider nonlinear equation in Banach space . We combine classical Newton method with Vietoris method to propose new more general method. Under rather general conditions about the noise we investigate local convergence of the method.
Cite
@article{arxiv.1710.07200,
title = {Newton-Kantorovich-Vietoris method},
author = {Alexander Gasnikov},
journal= {arXiv preprint arXiv:1710.07200},
year = {2017}
}
Comments
Proceedings MIPT, 2006. (in Russian, 3 pages)