Listar Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC) por autoría "9e010bdb-33d4-436b-8b0c-5a302c9d8dff"

Mostrando ítems 1-7 de 7

    • 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   Convergence regions for the Chebyshev–Halley family 

      Campos, Beatriz; Canela, Jordi; Vindel, Pura Elsevier (2018-03)
      In this paper we study the dynamical behavior of the Chebyshev–Halley methods on the family of degree n polynomials . We prove that, despite increasing the degree, it is still possible to draw the parameter space by using ...

    • openAccess   Dynamical analysis of an iterative method with memory on a family of third-degree polynomials 

      Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura AIMS Press (2022)
      Qualitative analysis of iterative methods with memory has been carried out a few years ago. Most of the papers published in this context analyze the behaviour of schemes on quadratic polynomials. In this paper, we accomplish ...

    • openAccess   Dynamical and numerical analysis of classical multiple roots finding methods applied for different multiplicities 

      Campos, Beatriz; G. Villalba, Eva; Vindel, Pura Springer Nature (2024-05-08)
      The aim of this paper is the study of the robustness of classical methods defined for finding multiple roots with single multiplicity m when they are used for approximating different roots of a function having different ...

    • 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   Dynamics of Newton-like root finding methods 

      Campos, Beatriz; Canela, Jordi; Vindel, Pura Springer (2022)
      When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z2 − c has the same form regardless of which algorithm has been ...

    • openAccess   Dynamics of subfamilies of Ostrowski–Chun methods 

      Campos, Beatriz; Vindel, Pura Elsevier (2020-09-25)
      In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied onquadratic polynomials. We obtain the values of the parameters that reduce the number ...