• openAccess   Behaviour of fixed and critical points of the (α, c) −family of iterative methods 

      Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura Springer Verlag (2015-01)
      In this paper we study the dynamical behavior of the (α, c ) -family of itera- tive methods for solving nonlinear equations, when we apply the fixed point operator associated to this family on quadratic polynomials. ...
    • 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 a multipoint variant of Chebyshev–Halley’s family 

      Vindel, Pura; Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R. Elsevier (2016)
      In this paper, a complex dynamical study of a parametric Chebyshev–Halley type family of iterative methods on quadratic polynomial is presented. The stability of the fixed points is analyzed in terms of the parameter of ...
    • openAccess   Dynamics of the family of c-iterative methods 

      Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura Taylor & Francis (2014-02-21)
      In this paper, the dynamics of the family of c-iterative methods for solving nonlinear equations are studied on quadratic polynomials. A singular parameter space is presented to show the complexity of the family. The ...