Quelltext der Seite Datei:Weierstrass 1 m3 3 m5.png

== Beschreibung, Quelle ==
{{Information
|Beschreibung     = Some analogue to the [[:en:Newton fractal]] for the [[:en:Durand-Kerner method]], [[:de:Weierstraß-(Durand-Kerner)-Verfahren]]. The polynomial used is the example from the article, <math>p(x)=x^3-3x^2+3x-5</math>. Initial values are <math>(z,az,a^2z)</math> with <math>a=0.4+0.9i</math> and <math>z\in [-3,3]+i\cdot [-3,3]</math>. The aim is to demonstrate the basins of convergence and numerical stability of initial points. Every step darker is one iteration step more to reach the neighborhood of a root tripel. For instance, the point<math>z=1+0i</math>, as used in the table in the article, appears to be stable, safely away from fractal borders.
|Quelle           = Own C program with bitmap (BMP) code from description page of a newton fractal found on Commons.
|Urheber          = Lutz Lehmann
|Datum            = 8. Juni 2012
|Genehmigung      = 
|Andere Versionen = 
|Anmerkungen      = 
}}

== Lizenz ==
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