• 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   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   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 ...