Mystery of the rational iteration arising from relaxed Newton's method

Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7111

Title:	Mystery of the rational iteration arising from relaxed Newton's method
Authors:	Çilingir, Figen
Keywords:	[No Keywords]
Publisher:	Pergamon-Elsevier Science Ltd
Abstract:	Newton's iterative method for finding solutions to nonlinear equations leads to some beautiful images when applied to complex functions. These images represent the basins of attraction of roots of complex functions. The interesting point about the basins of attraction for the roots of a complex function F approximated by relaxed Newton's method is that they are fractals called Julia sets of a rational function N-F,N-h. The main aim of the present paper is to describe such fractal sets. (c) 2006 Elsevier Ltd. All rights reserved.
URI:	https://doi.org/10.1016/j.chaos.2006.06.057 https://hdl.handle.net/20.500.11851/7111
ISSN:	0960-0779
Appears in Collections:	Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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