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MathGroup Archive 2004

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Re: Re: limits on symbol eigenvalues?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48582] Re: [mg48552] Re: limits on symbol eigenvalues?
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Sat, 5 Jun 2004 19:58:04 -0400 (EDT)
  • References: <c9pei6$qgr$1@smc.vnet.net> <200406051118.HAA11687@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

On 5 Jun 2004, at 20:18, Curt Fischer wrote:

> Uwe Brauer wrote:
>> Hello
>>
>> I just  started  using mathematica.  When  I tried  to calculate   the
>> symbolic eigenvalues of a 16x16 matrix mathematica told me it couldn't
>>
>> Is there a restriction?
>
> I think Mathematica couldn't do it because it is impossible to find the
> symbolic roots to a sixteenth order polynomial, in general.
>
> -- 
> Curt Fischer
>
>
>
Actually this is not quite true. It is certianly possible to find 
symbolic roots of a polynomial od degree 16 or higher and Mathematica 
can do it. (Just try it yourself). What is not possible, in general, is 
to express this solution in terms of radicals, but that is quite a 
different issue, unrelated to this problem.

The original question can't be answered with so little information.

Andrzej Kozlowski


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