convert sage complex matrix into numpy matrix

asked 2013-05-06 20:45:13 +0100

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I want to convert a sage matrix with complex elements to a numpy (scipy) matrix. Then I want to manipulate the resulting matrix with commands from linalg.

I have some problem. For example consider the following lines

m=matrix([[I,2],[3,4]])
import numpy  
npm=numpy.array(m) 
from numpy import linalg
linalg.eig(npm)

the result is an error:

...
TypeError: function not supported for these types, and can't coerce safely to supported types

why does it not work?

('Sage Version 5.8, Release Date: 2013-03-15' on osx 10.6.8)

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answered 2013-05-06 20:53:52 +0100

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If you switch your first line to

m=matrix(CC,[[I,2],[3,4]])

then it should work.

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thanks for the answer. I still have the same problem if I try to convert a matrix given by the product of your matrix m and a complex value as for example m2=I*m. How can I solve this?

abc ( 2013-05-06 21:14:41 +0100 )edit

just tried that and it does work. I believe it is essentially the same problem. You need to choose the base ring as the complex numbers (not the default, which is the symbolic ring).

fidbc ( 2013-05-06 21:21:03 +0100 )edit

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answered 2013-05-06 22:08:00 +0100

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Alternatively, use the numpy method

sage: m=matrix([[I,2],[3,4]])
sage: m.numpy()              
array([[I, 2],
       [3, 4]], dtype=object)

Edit: For using eig method, you can set the dtype explicitly.

sage: m.numpy(dtype='complex64')
array([[ 0.+1.j,  2.+0.j],
       [ 3.+0.j,  4.+0.j]], dtype=complex64)
sage: import numpy
sage: from numpy import linalg
sage: linalg.eig(m.numpy(dtype='complex64'))
(array([-1.13871109+0.81860214j,  5.13871098+0.18139789j], dtype=complex64),
 array([[ 0.86633128+0.j        ,  0.35430107+0.05644054j],
       [-0.49325052-0.07857533j,  0.93342662+0.j        ]], dtype=complex64))

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it does not work: m.numpy() is equal to numpy.array(m). the problem is that linalg.eig does not work on these matrices

abc ( 2013-05-07 08:43:52 +0100 )edit

eig is not working because of the dtype. You can, of course, specify the dtype explicitly.

ppurka ( 2013-05-07 18:19:56 +0100 )edit

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