upiterbarg / mpmath

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Durand-Kerner polyroots method should be more precise #217

Open GoogleCodeExporter opened 9 years ago

GoogleCodeExporter commented 9 years ago
The Durand-Kerner method converges linearly when roots are repeating in an 
equation. This reduces the accuracy of results by half the significant digits, 
which is really really terrible. There's a modification to the Durand-Kerner 
method that tracks multiple roots and can achieve a quadratic-like convergence 
with them.

Check out PIERRE FRAIGNIAUD's paper at

http://www.springerlink.com/content/t72g1635574u10q3/

Original issue reported on code.google.com by rosen.di...@gmail.com on 27 Dec 2011 at 7:48

GoogleCodeExporter commented 9 years ago
This would be very nice indeed. Code contributions are welcome.

Original comment by fredrik....@gmail.com on 27 Dec 2011 at 2:18