411 REFERENCE · Wikibooks
Linear Algebra and the C Language/a0on
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The eigenvalues of A**P correspond to the eigenvalues of A to the power of P:
Copy/Paste into the octave window
% The eigenvalues of A**P correspond to the eigenvalues of A to the power of P:
clear, clc
n = 3;
P = 2;
A = round(10*randn(n)); %% A matrix nxn
A = A'*A %% A symetric matrix
% Eigenvalues
printf (" eigs(A^%0.f) =\n",P)
eigs(A^P)
printf (" eigs(A)^%0.f = \n",P)
power(eigs(A),P)
%%
Screen output example:
A =
62 -27 7
-27 69 -23
7 -23 86
eigs(A^2) =
1.2565e+04
4.7606e+03
1.2895e+03
eigs(A)^2 =
1.2565e+04
4.7606e+03
1.2895e+03