eigenvalues between two matrix square

[jmarcell...@ufpi.edu.br]

n Matlab , you can return the eigenvalue between two arrays (A, B ) square in shape :

e = eig ( A, B) 

How do the sagemath ?

[slelievre]

2016-03-20 15:25:49 UTC+1, jmarcell...@ufpi.edu.br:

> In Matlab, you can return the eigenvalues
> between two arrays (A, B) square in shape:

>
>  e = eig(A, B)
>
> How do the sagemath?

I don't know if this is available in SageMath,
even though it might be provided by some of
the libraries shipped by SageMath...

For reference, the MATLAB documentation for eig is at:
  http://fr.mathworks.com/help/matlab/ref/eig.html
 
A similar question was asked in 2013 on Ask Sage:
  http://ask.sagemath.org/question/10751/qz-decomposition-for-generalized-eigenvalues/
and is still unanswered.

Samuel

[Dima Pasechnik]

for matrices supported by numpy/scipy, you can do the following:

sage: a=matrix([[1,2],[3,4]])

sage: b=matrix([[2,2],[3,4]])

sage: from scipy.linalg import eig

sage: eig(a.numpy(), b.numpy())

(array([-1.+0.j,  1.+0.j]), array([[ -8.00000000e-01,  -7.10542736e-16],

        [  6.00000000e-01,   1.00000000e+00]]))

HTH,

Dima

[João Marcello Pereira]

Yes, is this ;)

Thanks Dima.

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  Física, matemática, informática e eletrônica UFPI/CTBJ

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