Candelario-Villalona, Giro Guillermo; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María P.(Springer-Verlag, 2023-07)
[EN] In a recent paper, a conformable fractional Newton-type method was proposed for solving nonlinear equations. This method involves a lower computational cost compared to other fractional iterative methods. Indeed, the ...
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 ...
Cordero Barbero, Alicia; Maimo, Javier G.; Torregrosa Sánchez, Juan Ramón; Vassileva, María P.(MDPI AG, 2023-07)
[EN] Some iterative schemes with memory were designed for approximating the inverse of a nonsingular square complex matrix and the Moore-Penrose inverse of a singular square matrix or an arbitrary m x n complex matrix. A ...
Cordero Barbero, Alicia; Maimó, Javier G.; Torregrosa Sánchez, Juan Ramón; Vassileva, María P.(MDPI AG, 2019-11)
[EN] Iterative methods for solving nonlinear equations are said to have memory when the calculation of the next iterate requires the use of more than one previous iteration. Methods with memory usually have a very stable ...
Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María P.(Elsevier, 2012-08-01)
A new technique for designing iterative methods for solving nonlinear systems is presented. This procedure, called pseudocomposition, uses a known method as a predictor and the Gaussian quadrature as a corrector. The order ...
Candelario, Giro; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María P.(MDPI AG, 2023-06-03)
[EN] In recent years, some Newton-type schemes with noninteger derivatives have been proposed for solving nonlinear transcendental equations by using fractional derivatives (Caputo and Riemann-Liouville) and conformable ...