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

被引：0
|
作者：
Cilingir, Figen [1 ]
机构：
[1] TOBB Univ Econ & Technol, Dept Math, TR-06530 Ankara, Turkey
来源：
CHAOS SOLITONS & FRACTALS | 2007年 / 32卷 / 02期
关键词：
D O I：
10.1016/j.chaos.2006.06.057
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：471 / 479
页数：9
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