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MathGroup Archive 2002

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Re: Re: information on Eigensystem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33620] Re: [mg33594] Re: information on Eigensystem
  • From: Bettina Hoser <Bettina.Hoser at em.uni-karlsruhe.de>
  • Date: Wed, 3 Apr 2002 18:08:28 -0500 (EST)
  • References: <01A0EEAE-46F3-11D6-98F9-00039311C1CC@tuins.ac.jp>
  • Sender: owner-wri-mathgroup at wolfram.com

We use Version 4.1.0.0 under Linux
Bettina

Andrzej Kozlowski wrote:
> 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
>>
>>
>>


-- 
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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