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Re: Eigenvalue Problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg16904] Re: Eigenvalue Problem
  • From: Ed McBride <emcbride at wybron.com>
  • Date: Tue, 6 Apr 1999 01:27:32 -0400
  • Organization: Wybron, Inc.
  • References: <7e9odu$3km@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

> 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 ? 

I get the same phenomenon.  And I also got it with a 3 x 3 I made up.  I
presume the results turn out to be real if a,b,c are real, but they are
too complicated to prove this without a bunch of work.  Sorry, Ed
McBride


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