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] In this work, a multiparametric family of iterative vectorial fourth-order methods free of Jacobian matrices is proposed. A convergence analysis of this family is carried out as well as a study of its efficiency. ...