411 REFERENCE · Wikibooks
Linear Algebra and the C Language/a0om
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The eigenvalues of A + sID correspond to the eigenvalues of A plus s:
Copy/Paste into the octave window
% The eigenvalues of A + sID correspond to the eigenvalues of A plus s:
clear, clc
n = 3;
s = 2;
A = round(10*randn(n)); %% A matrix nxn
A = A'*A %% A symetric matrix
% Eigenvalues
printf (" %0.f.+eigs(A) = \n",s)
s.+ eigs(A)
printf (" eigs(A + %0.f.*ID) =\n",s)
eigs(A + (s.*eye(n)))
%%
Screen output example:
A =
302 97 45
97 41 28
45 28 193
2.+eigs(A) =
352.953
179.024
10.023
eigs(A + 2.*ID) =
352.953
179.024
10.023