[EN] In this work, a new class of iterative methods for solving nonlinear equations is presented and also its extension for nonlinear systems of equations. This family is developed by using a scalar and matrix weight ...
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 ...
[EN] The dynamical behavior of the rational vectorial operator associated with a multidimensional iterative method on polynomial systems gives us interesting information about the stability of the iterative scheme. The ...
Capdevila Brown, Raudys Rafael(Universitat Politècnica de València, 2024-01-03)
[ES] Se puede afirmar que la inmensa mayoría de los fenómenos de la naturaleza estudiados tienen un carácter no lineal.
Muchos de estos problemas se pueden modelar utilizando ecuaciones diferenciales no lineales (EDNL) ...