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

@article{Magren2014DifferentAI,
  title={Different anomalies in a Jarratt family of iterative root-finding methods},
  author={{\'A}ngel Alberto Magre{\~n}{\'a}n},
  journal={Applied Mathematics and Computation},
  year={2014},
  volume={233},
  pages={29-38}
}
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 Elsevier Inc. All rights reserved. 

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