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MathGroup Archive 2002

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Re: Re: information on Eigensystem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33618] Re: [mg33594] Re: information on Eigensystem
  • From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
  • Date: Wed, 3 Apr 2002 18:08:25 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Which version of Mathematica are you using? After replacing i with I, I 
get a (very complicated) answer (Mathematica 4.1 for Mac OS X). I have 
not tried to check its correctness.

Andrzej


On Wednesday, April 3, 2002, at 08:01  PM, Bettina Hoser wrote:

> Thanks you for your comment, but I have made the mistake to hand-write 
> the matrix, which means, that I originally used I instead of i in the 
> notebook, so it is not the letter.
> Is there any other solution?
> Best regards,
> Bettina
>
> Andrzej Kozlowski wrote:
>> 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
>>>>>
>>>>
>>>
>>>
>>>
>>>
>
>
> -- Dipl.-Phys. Bettina Hoser
> Lehrstuhl für Informationsdienste und elektonische Märkte
> Fakultät für Wirtschaftswissenschaften
> Universität Karlsruhe (TH)
> 76128 Karlsruhe
>
> email: bettina.hoser at em.uni.karlsruhe.de
> Tel:   0721-608 8407
> Fax:   0721-608 8403
>
>
>



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