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Re: Eigenvalue Problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg16942] Re: Eigenvalue Problem
  • From: Pierre infelta <pierre.infelta at epfl.ch>
  • Date: Thu, 8 Apr 1999 02:32:43 -0400
  • Organization: EPFL
  • References: <7e9odu$3km@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

try 
Needs["Miscellaneous`RealOnly`"]

m =     {{10 A, 0, B, 0, 0, 0},
          {0, -2 A, 0, C, 0, 0},
          {B, 0, -8 A, 0, C, 0},
          {0, C, 0, -8 A, 0, B},
          {0, 0, C, 0, -2 A, 0},
          {0, 0, 0, B, 0, 10 A}}
The answer replaces the nonreal roots by nonreal.


Peter Huesser wrote:
> 
> Hello everybody
> 
> I am trying to solve the eigenvalue problem for the following matrix:
> 
> m =     {{10 A, 0, B, 0, 0, 0},
>           {0, -2 A, 0, C, 0, 0},
>           {B, 0, -8 A, 0, C, 0},
>           {0, C, 0, -8 A, 0, B},
>           {0, 0, C, 0, -2 A, 0},
>           {0, 0, 0, B, 0, 10 A}}
> 
> which is symmetric. Now mathematica returns some complex eigenvalues
> which is not
> possible for a real, symmetric matrix. Can anybody help me ? Maybe the
> error occurs because
> mathematica means that the coefficients are complex but how can I make
> them real ?
> 
> Thank's in advance for any help.
> 
>     Peter Huesser


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