[Numpy-discussion] One question about the numpy.linalg.eig() routine
Mon Apr 2 20:53:57 CDT 2012
On Mon, Apr 2, 2012 at 5:38 PM, Val Kalatsky <firstname.lastname@example.org> wrote:
> Both results are correct.
> There are 2 factors that make the results look different:
> 1) The order: the 2nd eigenvector of the numpy solution corresponds to the
> 1st eigenvector of your solution,
> note that the vectors are written in columns.
> 2) The phase: an eigenvector can be multiplied by an arbitrary phase factor
> with absolute value = 1.
> As you can see this factor is -1 for the 2nd eigenvector
> and -0.99887305445887753-0.047461785427773337j for the other one.
Thanks for this answer; for my own benefit:
Definition: A . v = L . v where A is the input matrix, L is an
eigenvalue of A and v is an eigenvector of A.
In : A = [[0.6+0.0j,
In : L, v = np.linalg.eig(A)
In : np.allclose(np.dot(A, v), L * v)
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