       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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