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

Argyros, Ioannis K; Cordero, Alicia; Magreñán, Á. Alberto (1); Torregrosa, Juan Ramón

Articulo Revista Indexada

Registro en:

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.

0377-0427

https://reunir.unir.net/handle/123456789/4718

https://doi.org/10.1016/j.cam.2016.04.022

https://repositorioslatinoamericanos.uchile.cl/handle/2250/5899528

Autor

Argyros, Ioannis K

Cordero, Alicia

Magreñán, Á. Alberto (1)

Torregrosa, Juan Ramón

Institución

Universidad internacional de la Rioja (Colombia)

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.

Materias

banach space

majorizing sequence

local/semilocal convergence

complex dynamics

JCR

Scopus

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