On the dynamics of Laguerre's iteration: \(Z^ n-1\)
type: Item
instance of: scholarly article
title: On the dynamics of Laguerre's iteration: \(Z^ n-1\)
zbMATH Open document ID: 0657.58017
DOI: 10.1016/0167-2789(88)90101-7
author: James H. Curry
author: Stuart L. Fiedler
published in: Physica D
publication date: 1988-01-01T00:00:00Z
review text: The authors study the global behaviour of the Laguerre iteration applied to \(Z^ n-1\). For this class of polynomials, they render an almost complete description of the dynamics of Laguerre. They show that the iteration is globally convergent for \(n=3\) and \(n=4\). The method is illustrated by two computer color graphs.
Mathematics Subject Classification ID: 37B99
zbMATH DE Number: 4074009
zbMATH Keywords: Laguerre iteration
zbMATH Keywords: dynamics of Laguerre
zbMATH Keywords: computer color graphs
reviewed by: Klaus Brod
MaRDI profile type: Publication
full work available at URL: 0167-2789(88)90101-7
OpenAlex ID: W2079218185
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description: scientific article; zbMATH DE number 4074009