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
; Sicilia, Juan Antonio
Fecha:
01/07/2020Palabra clave:
Revista / editorial:
MathematicsTipo de Ítem:
Articulo Revista IndexadaDirección web:
https://www.mdpi.com/2227-7390/8/7/1062Resumen:
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.
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