Newton's method and Schwarzian derivatives
type: Item
instance of: scholarly article
title: Newton's method and Schwarzian derivatives
zbMATH Open document ID: 0815.65064
DOI: 10.1007/BF02218860
published in: Journal of Dynamics and Differential Equations
publication date: 1994-11-06T00:00:00Z
review text: The author investigates the Newton method when it converges to a fixed point with orders of convergence greater than 2. He also shows the role of Schwarzian derivative in this convergence property.
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 682503
zbMATH Keywords: Newton method
zbMATH Keywords: fixed point
zbMATH Keywords: Schwarzian derivative
zbMATH Keywords: convergence
author: Julian I. Palmore
reviewed by: Aurél Galántai
MaRDI profile type: Publication
cites work: Q5727753
cites work: Q4279719
cites work: Shadowing by computable orbits of continued fraction convergents for algebraic numbers
cites work: Stable Orbits and Bifurcation of Maps of the Interval
cites work: Newton's Method and Symbolic Dynamics
full work available at URL: https://doi.org/10.1007/bf02218860
OpenAlex ID: W2060381587
description: scientific article; zbMATH DE number 682503