Articulo Revista Indexada
Study of local convergence and dynamics of a king-like two-step method with applications
Autor
Argyros, Ioannis K
Magreñán, Á. Alberto
Moysi, Alejandro
Sarría, Íñigo (1)
Sicilia, Juan Antonio (1)
Institución
Resumen
In this paper, we present the local results of the convergence of the two-step King-like method to approximate the solution of nonlinear equations. In this study, we only apply conditions to the first derivative, because we only need this condition to guarantee convergence. As a result, the applicability of the method is expanded. We also use different convergence planes to show family behavior. Finally, the new results are used to solve some applications related to chemistry.