On the dynamics of Laguerre's iteration: \(Z^ n-1\) (Q1110874)
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scientific article; zbMATH DE number 4074009
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the dynamics of Laguerre's iteration: \(Z^ n-1\) |
scientific article; zbMATH DE number 4074009 |
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On the dynamics of Laguerre's iteration: \(Z^ n-1\) (English)
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1988
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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.
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Laguerre iteration
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dynamics of Laguerre
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computer color graphs
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