Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2011-06-01)
In this paper, a family of Steffensen type methods of fourth-order convergence for solving nonlinear smooth equations is suggested. In the proposed methods, a linear combination of divided differences is used to get a ...
Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2013-04)
From position and velocity coordinates for several given instants, it is possible to determine the orbital elements of the preliminary orbit, taking only into account mutual gravitational attraction forces between the Earth ...
[EN] In this paper, a deep dynamical analysis is made, by using tools from multidimensional real discrete dynamics, of some derivative-free iterative methods with memory. All of them have good qualitative properties, but ...
Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón(Springer-Verlag, 2019-05)
[EN] Based on the third-order Traub's method, two iterative schemes with memory are introduced. The proper inclusion of accelerating parameters allows the introduction of memory. Therefore, the order of convergence of the ...