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MathGroup Archive 2002

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Re: Re: information on Eigensystem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33615] Re: [mg33594] Re: information on Eigensystem
  • From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
  • Date: Wed, 3 Apr 2002 18:08:21 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

The obvious answer is to replace i with I.

Andrzej Kozlowski
Toyama International University
JAPAN
http://platon.c.u-tokyo.ac.jp/andrzej/

On Wednesday, April 3, 2002, at 03:13  PM, Bettina wrote:

> 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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