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Re: Re: information on Eigensystem

  • To: mathgroup at
  • Subject: [mg33617] Re: [mg33594] Re: information on Eigensystem
  • From: Bettina Hoser <Bettina.Hoser at>
  • Date: Wed, 3 Apr 2002 18:08:23 -0500 (EST)
  • References: <>
  • Sender: owner-wri-mathgroup at

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,

Andrzej Kozlowski wrote:
> The obvious answer is to replace i with I.
> Andrzej Kozlowski
> Toyama International University
> 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
Tel:   0721-608 8407
Fax:   0721-608 8403

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