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 ...
Cordero Barbero, Alicia; García Maimo, Javier; Torregrosa Sánchez, Juan Ramón; Vassileva, María Penkova; Vindel Cañas, 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 ...
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 ...
Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel Cañas, Pura(Taylor & Francis Ltd, 2013-10-01)
The choice of a member of a parametric family of iterative methods is not always easy. The family of Chebyshev-Halley schemes is a good example of it. The analysis of bifurcation points of this family allows us to define ...
[EN] The dynamics 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 ...
Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel Cañas, Pura(Taylor & Francis Ltd, 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 ...