Shadowing orbits and Kantorovich's theorem
type: Item
instance of: scholarly article
title: Shadowing orbits and Kantorovich's theorem
zbMATH Open document ID: 0862.58017
published in: Numerische Mathematik
publication date: 1997-05-25T00:00:00Z
review text: The author points out the close connection between Kantorovich's theorem on convergence of Newton's method and the existence of a finite shadowing orbit of a given pseudo-orbit. This paper clarifies some results that are already known and simplifies their proofs.
Mathematics Subject Classification ID: 37E99
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 932050
zbMATH Keywords: pseudo-orbits
zbMATH Keywords: shadowing lemma
zbMATH Keywords: Newton's method
author: Karl-Peter Hadeler
reviewed by: Jerzy Ombach
MaRDI profile type: Publication
full work available at URL: s002110050184
OpenAlex ID: W2064537432
DOI: 10.1007/S002110050184
description: scientific article; zbMATH DE number 932050