[EN] Newton-Raphson method has always remained as the widely used method for finding simple and multiple roots of nonlinear equations. In the past years, many new methods have been introduced for finding multiple zeros ...
[EN] In this paper, using the idea of weight functions on the Potra¿Pták method, an optimal fourth order method, a non optimal sixth order method, and a family of optimal eighth order methods are proposed. These methods ...
Torregrosa Sánchez, Juan Ramón; Cordero Barbero, Alicia; Pablo Soto-Quiros; Armando Solís(Instituto Tecnológico de Costa Rica, 2021-02-08)
[ES] Una corriente en métodos numéricos es la elaboración de nuevos métodos iterativos para
la resolución de ecuaciones no lineales; se busca que estos métodos sean óptimos en contraste con su
orden de convergencia y el ...
Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2013-04)
In this work we show a general procedure to obtain optimal derivative free iterative methods for nonlinear equations f (x) = 0, applying polynomial interpolation to a generic optimal derivative free iterative method of ...
Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(Springer-Verlag, 2019-07)
[EN] Complex dynamics tools applied on the rational functions resulting from a parametric family of roots solvers for nonlinear equations provide very useful results that have been stated in the last years. These qualitative ...
Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, M.P.(Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2015-09-02)
In this paper we design, by using the weight function technique, two families of iterative schemes with order of convergence eight. These weight functions depend on one, two and three variables and they are used in the ...