Kantorovich's Theorem on Newton's Method

TL;DR

This paper provides a simplified proof of Kantorovich's Theorem for Newton's Method, utilizing a technique that has been previously employed to extend the theorem.

Contribution

It introduces a simplified proof of Kantorovich's Theorem, enhancing understanding and potentially broadening its applications.

Findings

Simplified proof of Kantorovich's Theorem

Technique used for extending the theorem

Potential for broader applications

Abstract

In this work we present a simplifyed proof of Kantorovich's Theorem on Newton's Method. This analysis uses a technique which has already been used for obtaining new extensions of this theorem.