ListarIMAC_Articles por tema "complex dynamics of rational functions"

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    • openAccess   Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials 

      Campos, Beatriz; Canela, Jordi; Vindel, Pura Elsevier (2020-03)
      We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphic dynamics. Numerical experiments show that the speed of convergence to the roots may be slower when the basins of attraction ...

    • openAccess   Dynamics of a Family of Rational Operators of Arbitrary Degree 

      Campos, Beatriz; Canela, Jordi; Garijo, Antonio; Vindel, Pura Vilnius Gediminas Technical University (2021-05-26)
      . In this paper we analyse the dynamics of a family of rational operators coming from a fourth-order family of root-finding algorithms. We first show that it may be convenient to redefine the parameters to prevent ...