File:Bairstow-fractal 6 11 m33 m33 11 6 scale 03.png
![File:Bairstow-fractal 6 11 m33 m33 11 6 scale 03.png](https://upload.wikimedia.org/wikipedia/commons/thumb/8/8c/Bairstow-fractal_6_11_m33_m33_11_6_scale_03.png/600px-Bairstow-fractal_6_11_m33_m33_11_6_scale_03.png?20090817144440)
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Captions
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Summary
[edit]DescriptionBairstow-fractal 6 11 m33 m33 11 6 scale 03.png | Convergence map for the en:Bairstow's method, notation following de version, similar to en:Newton fractal |
Date | |
Source | My own C program, derived from the newtroot program used for the newton fractals |
Author | Lutz Lehmann User:LutzL |
Permission (Reusing this file) |
my own |
What it is
[edit]Bairstow's method tries to find quadratic factors of polynomials, all with real coefficients. This image shows the behaviour of different initial factors for x,y in the range [-3,3]. A black point indicates no convergence after ca. 100 iterations, a white point indicates a solution after one iteration, a colored point signifies convergence to the limit point located in the basin of that color. The polynomial to be factored is
.
Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
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newton braistow caclutae the appropriate meaures to be qeqippd
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 14:44, 17 August 2009 | ![]() | 1,201 × 1,201 (595 KB) | LutzL (talk | contribs) | corrected a sign error in the horizontal direction. better white dots at locations of quadratic factors |
16:12, 16 August 2009 | ![]() | 1,201 × 1,201 (582 KB) | LutzL (talk | contribs) | Reverted to version as of 16:08, 16 August 2009. Sorry for the double reversion, it did not show the new version after the upload. | |
16:09, 16 August 2009 | ![]() | 601 × 601 (41 KB) | LutzL (talk | contribs) | Reverted to version as of 13:55, 6 October 2006 | |
16:08, 16 August 2009 | ![]() | 1,201 × 1,201 (582 KB) | LutzL (talk | contribs) | Having corrected a nasty error in the source code, the basins of convergence for this example look a lot more impressive. Increased the resolution to double size, added coordinate system. | |
13:55, 6 October 2006 | ![]() | 601 × 601 (41 KB) | LutzL (talk | contribs) | {{Information |Description=Convergence map for the en:Bairstow's method,notation following de version, similar to en:Newton fractal |Source=My own C program, derived from the newtroot program used for the newton fractals |
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