Kantorovich's Theorem on Newton's Method

2012/09/25 by O. P. Ferreira, B. F. Svaiter, Ferreira, O. P. +1
Engineering · Mathematics · #49M15 #90C30 #Advanced Optimization Algorithms Research #Control Systems and Identification #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1209.5704

openalex publication_date 2012/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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