[EN] In this paper, we design two parametric classes of iterative methods without memory to solve nonlinear systems, whose convergence order is 4 and 7, respectively. From their error equations and to increase the convergence ...
Cordero Barbero, Alicia; Villalba, Eva G.; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula(Elsevier GmbH, 2023-06)
[EN] In this paper, we construct a derivative-free multi-step iterative scheme based on Steffensen's method. To avoid excessively increasing the number of functional evaluations and, at the same time, to increase the order ...
[EN] In this paper, we propose a procedure that can be added to any iterative scheme in order to turn it into an iterative method for approximating all roots simultaneously of any nonlinear equations. By applying this ...