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On the dynamics of Laguerre's iteration: \(Z^ n-1\)

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Publication:1110874
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DOI10.1016/0167-2789(88)90101-7zbMath0657.58017OpenAlexW2079218185MaRDI QIDQ1110874

James H. Curry, Stuart L. Fiedler

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90101-7


zbMATH Keywords

computer color graphsdynamics of LaguerreLaguerre iteration


Mathematics Subject Classification ID

Topological dynamics (37B99)


Related Items

Are there any Julia sets for the Laguerre iteration function? ⋮ Repellers for the Laguerre Iteration Function



Cites Work

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  • On the iteration of a rational function: Computer experiments with Newton's method
  • Generalizations of Laguerre’s Method: Higher Order Methods
  • Newton's Method and Symbolic Dynamics
  • Complex analytic dynamics on the Riemann sphere
  • Laguerre's Method Applied to the Matrix Eigenvalue Problem
  • Laguere’s Method and a Circle which Contains at Least One Zero of a Polynomial
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