On the convergence of an optimal fourth-order family of methods and its dynamics
Autor:
Argyros, Ioannis K
; Magreñán, Á. Alberto
Fecha:
02/2015Palabra clave:
Revista / editorial:
Applied Mathematics and ComputationCitación:
Argyros, I. .K & Magreñán, A. .A. (2015). On the convergence of an optimal fourth-order family of methods and its dynamics. Applied Mathematics and Computation, 252(1), 336-346.Tipo de Ítem:
Articulo Revista IndexadaResumen:
In this paper, we present the study of the semilocal and local convergence of an optimal fourth-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some anomalies are found in this family be means of studying the dynamical behavior. Parameter spaces are shown and the study of the stability of all the fixed points is presented.
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