• openAccess   Bulbs of Period Two in the Family of Chebyshev-Halley Iterative Methods on Quadratic Polynomials 

      Vindel, Pura; Torregrosa, Juan R.; Cordero Barbero, Alicia Hindawi (2013)
      The parameter space associated to the parametric family of Chebyshev-Halley on quadratic polynomials shows a dynamical richness worthy of study. This analysis has been initiated by the authors in previous works. Every value ...
    • 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 a Biparametric Family of Iterative Methods 

      Campos, Beatriz; Cordero Barbero, Alicia; Magreñán Ruiz, Ángel Alberto; Torregrosa, Juan R.; Vindel, Pura Hindawi Publishing Corporation (2014-12-24)
      Thedynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the 𝑐������-iterative methods and the well-known Chebyshev-Halley family.We find ...