[EN] A dynamical approach on the dynamics of iterative methods with memory for solving nonlinear
equations is made. We have designed new methods with memory from Steffensen’ or
Traub’s schemes, as well as from a parametric ...
Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel, Pura(American Institute of Mathematical Sciences, 2022)
[EN] Qualitative analysis of iterative methods with memory has been carried out a few years ago. Most of the papers published in this context analyze the behaviour of schemes on quadratic polynomials. In this paper, we ...
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 ...
[EN] The study of the dynamical behaviour of the operators defined by iterative methods help us to know more deeply the regions where these methods have a good performance. In this paper, we follow the dynamical study of ...
[EN] In the literature exist many iterative methods with memory for solving nonlinear equations, the most of them designed in the last years. As they use the information of (at least) the two previous iterates to generate ...