[EN] We used a Kurchatov-type accelerator to construct an iterative method with memory for solving nonlinear systems, with sixth-order convergence. It was developed from an initial scheme without memory, with order of ...
Capdevila, Raudys R.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(American Institute of Mathematical Sciences, 2023-03-30)
[EN] A novel family of iterative schemes to estimate the solutions of nonlinear systems is
presented. It is based on the Ermakov-Kalitkin procedure, which widens the set of converging initial
estimations. This class is ...
Behl, Ramandeep; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2022-05-15)
[EN] In this manuscript, we design an efficient sixth-order scheme for solving nonlinear
systems of equations, with only two steps in its iterative expression. Moreover, it belongs
to a new parametric class of methods whose ...
Triguero Navarro, Paula(Universitat Politècnica de València, 2023-06-16)
[ES] En gran cantidad de problemas de la matemática aplicada, existe la necesidad de resolver ecuaciones y sistemas no lineales, dado que numerosos problemas, finalmente, se reducen a estos. Conforme aumenta la dificultad ...