On the dynamics of Laguerre's iteration: \(Z^ n-1\)
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.
scientific article; zbMATH DE number 4074009