[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 ...
Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel, Pura(Vilnius Gediminas Technical University, 2019)
[EN] In this paper, we study the dynamics of an iterative method based on the Ermakov-Kalitkin class of iterative schemes for solving nonlinear equations. As it was proven in "A new family of iterative methods widening ...
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 ...