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MathGroup Archive 2002

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Re: information on Eigensystem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33594] Re: information on Eigensystem
  • From: Bettina <bho at em.uni-karlsruhe.de>
  • Date: Wed, 3 Apr 2002 01:13:15 -0500 (EST)
  • Organization: University of Karlsruhe, Germany
  • References: <a890u0$nto$1@smc.vnet.net> <a8br2m$3lg$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi
I have another question concerning Eigensystem: I try to get the 
Eigensystem for heritian (complex) matrices. Following my test matrix 
M={{65,3+6i,12-6i,4-2i},{3-6i,30,0,30},{12+6i,0,9,3},{4+2i,30,3,46}}.
But if I try to get Eigensystem[M] nothing comes up. What could be the 
problem? I have already found out (archive) that there seem to be some 
special effects when using Eigensystem on complex matrices, but these 
messages dated from 1999 and 2000. Has anything changed since then? Is 
there a way to solve my problem?
Thanks for help
Bettina

Jens-Peer Kuska wrote:
> Hi,
> 
> the Numerical Recipes use the EISPACK code and one can't do better
> than to use EISPACK or the original ALGOL source for 
> Wilinson/Reinsch.
> 
> Regards
>   Jens
> 
> Borut L wrote:
> 
>>Hello,
>>
>>I am doing a comparison between three methods for finding an eigensystem of
>>a matrix, Numerical Recipes tqli + tred2, jacobi, and Mathematica's
>>Eigensystem[].
>>
>>I would like to acquire info on which algorithm does Mathematica have for
>>finding it out? What does she do in a case of a real symmetric matrix? I am
>>asking it because I haven't found anything in the implementation notes.
>>
>>Thank you for you time,
>>
>>Borut from Slovenia
>>
> 



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