[EN] In this paper, we propose a general bi-parametric family of sixth order iterative methods to solve systems of nonlinear equations. The presented scheme contains some well known existing methods as special cases. The ...
Cordero Barbero, Alicia; Franques, Antonio; Torregrosa Sánchez, Juan Ramón(Springer-Verlag, 2016)
[EN] In this paper, a family of parametric iterative methods for solving nonlinear equations, including Homeier's scheme, is presented. Its local convergence is obtained and the dynamical behavior on quadratic polynomials ...
[EN] In this paper, we propose a general class of fourth-order optimal multi-point methods without
memory for obtaining simple roots. This class requires only three functional evaluations (viz.
two evaluations of function ...
Campos, B.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel, P.(Taylor & Francis (Routledge): STM, Behavioural Science and Public Health Titles, 2015-09-02)
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 ...
[EN] There are several problems of pure and applied science which can be studied in the unified
framework of the scalar and vectorial nonlinear equations. In this paper, we propose a
sixth-order family of Jarratt type ...
Argyros, Ioannis K.; Cordero Barbero, Alicia; Alberto Magreñán, A.; Torregrosa Sánchez, Juan Ramón(Elsevier, 2017)
[EN] Traub's method is a tough competitor of Newton's scheme for solving nonlinear equations as well as nonlinear systems. Due to its third-order convergence and its low computational cost, it is a good procedure to be ...