Listar Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC) por autoría "eb8a843a-57b7-48e2-89b3-edaeeab31112"

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    • 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 ...

    • openAccess   On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub 

      Canela, Jordi; Evdoridou, Vasiliki; Garijo, Antonio; Jarque, Xavier Springer (2023)
      In this paper we study the dynamics of damped Traub’s methods Tδ when applied to polynomials. The family of damped Traub’s methods consists of root finding algorithms which contain both Newton’s (δ = 0) and Traub’s method ...