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Re: trouble with obtaining eigenvalue of parametric

• To: mathgroup at smc.vnet.net
• Subject: [mg128418] Re: trouble with obtaining eigenvalue of parametric
• From: Nigel King <nigel.king at cambiumnetworks.com>
• Date: Sun, 14 Oct 2012 23:40:21 -0400 (EDT)
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Hi Mehrzad,
Temporarily replace Eigenvalues with TableForm and I think you will see that your data is not correct.

I hope that helps

Nigel King

On 11 Oct 2012, at 07:07, Mehrzad Sasanpoor wrote:


I have a parametric 13*13 matrix as following and I want to find their eigenvalues in term of these parameters.

Eigenvalues[{{ec,
tc, tc, ,0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {tc, ec, 0, tc, 0, 0, 0, 0, 0, 0, 0, 0,
0}, {tc, 0, ec, 0, tc, 0, 0, 0, 0, 0, 0, 0, 0}, {0, tc, 0, ec, 0, tc, zc, xc, 0,
0, 0, 0, 0}, {0, 0, tc, 0, ec, tc, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, tc, tc, ec, 0,
0, 0, 0, 0, 0, 0} ,{0, 0, 0, zc, 0, 0, ez, 0, 0, 0, 0, 0, 0}, {0, 0, 0, xc, 0, 0,
0, ex, 0, xo, xy, xo, xy}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ey, nyx, yy, yx, yy},
{0, 0, 0, 0, 0, 0, 0, xo, nyx, ex, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, xy, yy, 0, ey,
0, 0}, {0, 0, 0, 0, 0, 0, 0, xo, nyx, 0, 0, ex, 0}, {0, 0, 0, 0, 0, 0, 0, x y, yy,
0, 0, 0, ey}}]


but I face with this error?

Eigenvalues::matsq: Argument \
{{ec,tc,tc,0,0,0,0,0,0,0,<<3>>},{tc,ec,0,tc,0,0,0,0,0,0,<<3>>},{tc,0,\
ec,0,tc,0,0,0,0,0,<<3>>},<<5>>,{0,0,0,0,0,0,0,0,0,0,<<5>>},{0,0,0,0,0,\
0,0,xo,nyx,ex,<<3>>},<<3>>} at position 1 is not a nonempty square \
matrix. >>

what should I do?

thanks a lot for your attention

• References:
  • trouble with obtaining eigenvalue of parametric matrix
    • From: Mehrzad Sasanpoor <mz_spoor@yahoo.com>