Different anomalies in a Jarratt family of iterative root-finding methods

  1. Alberto Magreñán, A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Applied Mathematics and Computation

ISSN: 0096-3003

Año de publicación: 2014

Volumen: 233

Páginas: 29-38

Tipo: Artículo

DOI: 10.1016/J.AMC.2014.01.037 SCOPUS: 2-s2.0-84894576631 WoS: WOS:000337288900005 GOOGLE SCHOLAR

Otras publicaciones en: Applied Mathematics and Computation

Resumen

In this paper, the behavior of a Jarratt family of iterative methods applied to quadratic polynomials is studied. Some anomalies are found in this family be means of studying the dynamical behavior of this fourth-order family of methods. Parameter spaces are shown and the study of the stability of all the fixed points is presented. Dynamical planes for members with good and bad dynamical behavior are also provided. © 2014 Published by Elsevier Ltd.