Selezneva, I. A.; Ratis, Yuri L.; Hernández, Eugenio; Pérez Quiles, María Jezabel; Fernández de Córdoba, Pedro(ACCEFYN - Academia Colombiana de Ciencias Exactas, Fisicas y Naturales, 2013)
[EN] In this paper we present, with a pedagogical aim, a method to calculate the associated Legendre functions and polynomials. The method uses stable recurrence relations involving these functions.
Cordero Barbero, Alicia; Hernandez-Veron, M. A.; Romero, N.; Torregrosa Sánchez, Juan Ramón(Elsevier, 2015-01-01)
In this paper, a semilocal convergence result in Banach spaces of an efficient fifth-order method is analyzed. Recurrence relations are used in order to prove this convergence, and some a priori error bounds are found. ...
Hueso Pagoaga, José Luís; Martínez Molada, Eulalia(Springer-Verlag, 2014)
[EN] In this work, we prove a third and fourth convergence order result for a family of iterative methods for solving nonlinear systems in Banach spaces. We analyze the semilocal convergence by using recurrence relations, ...