Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, M.P.(Hindawi Publishing Corporation, 2015)
We present two classes of iterative methods whose orders of convergence are four and five, respectively, for solving systems of nonlinear equations, by using the technique of weight functions in each step. Moreover, we ...
Artidiello Moreno, Santiago de Jesús(Universitat Politècnica de València, 2014-11-17)
Resumen
La resolución de ecuaciones y sistemas de ecuaciones no lineales figura entre los problemas
más importantes, tanto desde un punto de vista teórico como práctico, de las matemáticas
aplicadas, así como también ...
Artidiello, Santiago; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María P.(MDPI AG, 2020-01)
[EN] A secant-type method is designed for approximating the inverse and some generalized inverses of a complex matrix A. For a nonsingular matrix, the proposed method gives us an approximation of the inverse and, when the ...
Artidiello Moreno, Santiago de Jesús; Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(Taylor & Francis Ltd, 2013-10)
In this paper, a family of new fourth-order optimal iterative methods for solving nonlinear equations is proposed. The classical King s family of fourth-order schemes is obtained as an special case. We also present results ...
Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; VASSILEVA, MARÍA PENKOVA(Elsevier, 2015-10-01)
[EN] In this paper, from Traub’s method and by applying weight function technique, a bi-parametric
family of predictor–corrector iterative schemes with optimal fourth-order of convergence, for
solving nonlinear equations, ...
Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María(Hindawi Publishing Corporation, 2014)
A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical ...
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 ...