Cordero Barbero, Alicia; Franques, Antonio; Torregrosa Sánchez, Juan Ramón(Springer-Verlag, 2016)
[EN] In this paper, a family of parametric iterative methods for solving nonlinear equations, including Homeier's scheme, is presented. Its local convergence is obtained and the dynamical behavior on quadratic polynomials ...
Cordero Barbero, Alicia; Ferrero-Molina, Alfredo; Torregrosa Sánchez, Juan Ramón(Elsevier, 2016-01)
[EN] In this paper, a parametric family including Newton's and Traub's iterative schemes is presented. Its local convergence and dynamical behavior on quadratic polynomials are studied. The analysis of fixed and critical ...
Vázquez-Lozano, Juan Enrique; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2018)
[EN] In this paper, the performance of a parametric family including Newton¿s and Traub¿s schemes on multiple roots is analyzed. The local order of convergence on nonlinear equations with multiple roots is studied as well ...