[Numpy-discussion] roots and high-order polynomial

[Nils Wagner]

On Fri, 03 Jul 2009 14:26:39 +0200
  Fabrice Silva <silva@lma.cnrs-mrs.fr> wrote:
> Le vendredi 03 juillet 2009 à 11:52 +0200, Nils Wagner a 
>écrit :
>> You will need multiprecision arithmetic in that case.
>> It's an ill-conditioned problem.
> 
> I may have said that the solution are of the same order 
>of magnitude, so
> that the ratio between the lowest and the highest 
>absolute values of the
> eigenvalues are rather close to one.
> Does it help ?
> 
> Looking in the debian repository, I found python-gmpy, 
>an interface GMP
> to Python. But how could it be used to compute the 
>eigenvalues of the
> companion matrix ? I will look in the doc...
> 
> -- 
>Fabrice Silva <silva@lma.cnrs-mrs.fr>
> LMA UPR CNRS 7051
> 
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Just curious - Can you provide us with the coefficients of 
your polynomial ?

Nils