Please use this identifier to cite or link to this item:
|Title:||Mystery of the rational iteration arising from relaxed Newton's method||Authors:||Çilingir, Figen||Keywords:||[No Keywords]||Issue Date:||2007||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
|Appears in Collections:||Matematik Bölümü / Department of Mathematics|
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
Show full item record
checked on Dec 26, 2022
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.