eig

Syntax

eig(A)

Arguments

A is a real symmetric matrix or a Hermitian matrix.

Details

Calculate the eigenvalues and eigenvectors of A. Return a dictionary.

The result of eig is the same as the result of numpy.linalg.eigh.

Examples

$ A = 1 1 2 7 9 3 5 7 0 $ 3:3;
$ eig(A);
vectors->
#0        #1       #2
--------- -------- ---------
0.839752  0.169451 -0.515852
-0.301349 0.935753 -0.18318
0.45167   0.309277 0.836864

values->[1.716868,10.17262,-1.889488]

For the eigenvalue of 1.716868, the corresponding eigenvector is:

$ eig(A).vectors[0];
[0.839752,-0.301349,0.45167]