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On the convergence of a higher order family of methods and its dynamics

Autor: 
Argyros, Ioannis K
;
Cordero, Alicia
;
Magreñán, Á. Alberto
;
Torregrosa, Juan Ramón
Fecha: 
01/2017
Palabra clave: 
Revista / editorial: 
Journal of Computational and Applied Mathematics
Citación: 
Ioannis K. Argyros, Alicia Cordero, Ángel Alberto Magreñán, Juan Ramón Torregrosa, On the convergence of a higher order family of methods and its dynamics, Journal of Computational and Applied Mathematics, Volume 309, 1 January 2017, Pages 542-562, ISSN 0377-0427, http://doi.org/10.1016/j.cam.2016.04.022.
Tipo de Ítem: 
Articulo Revista Indexada
URI: 
https://reunir.unir.net/handle/123456789/4718
DOI: 
https://doi.org/10.1016/j.cam.2016.04.022
Dirección web: 
http://www.sciencedirect.com/science/article/pii/S0377042716301959
Resumen:
In this paper, we present the study of the local convergence of a higher-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 by means of studying the associated rational function. Parameter spaces are shown and the study of the stability of all the fixed points is presented.
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