• openAccess   Chaos  in  King's  iterative  family   

      Cordero Barbero, Alicia; García Maimó, Javier; Torregrosa, Juan R.; Vassileva, Maria P.; Vindel, Pura Elsevier (2013-08)
      In this paper, the dynamics of King’s family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space ...
    • openAccess   Dinámica de una familia biparamétrica 

      González Marquina, Jorge Universitat Jaume I (2023-09-22)
      En este trabajo se ha estudiado la dinámica de la familia biparamétrica resultante de los métodos iterativos de Ostrowski y Chun, fijando uno de los par´ámetros y viendo como evolucionan los puntos críticos en los planos ...
    • openAccess   Dynamics of a family of Chebyshev-Halley 

      Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura Elsevier (2013-04-15)
      In this paper, the dynamics of the Chebyshev–Halley family is studied on quadratic polynomials. A singular set, that we call cat set, appears in the parameter space associated to the family. This set has interesting ...
    • 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 ...
    • openAccess   Study of the dynamics of third-order iterative methods on quadratic polynomials 

      Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura Taylor & Francis (2012)
      In this paper, we analyse the dynamical behaviour of the operators associated with multi-point interpolation iterative methods and frozen derivative methods, for solving nonlinear equations, applied on second-degree complex ...