Published: 1999-09-30

Characterization of basin boundaries in Bairstows iterative methods

Laura Gardini , Gian-Italo Bischi , Daniele Fournier-Prunaret

Abstract

In this paper we consider a two-dimensional map with a denominator which can vanish, obtained by applying Bairstow's method, an iterative algorithms to find the real roots of a polynomial based on Newton's method. The complex structure of the basins of attraction of the fixed points is related to the existence of singularities specific to maps with a vanishing denominator, such as sets of non definition, focal points and prefocal curves.

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Gardini, L., Bischi, G.-I., & Fournier-Prunaret, D. (1999). Characterization of basin boundaries in Bairstows iterative methods. Annales Mathematicae Silesianae, 13, 119–130. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14142

Domyślna okładka

Vol. 13 (1999)
Published: 1999-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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