[SciPy-user] any symbolic manipulation of eigenvalue in Scipy?
Emmanuelle Gouillart
emmanuelle.gouillart at normalesup.org
Tue Jun 9 13:08:38 EDT 2009
Hi Xiaojian ,
you can use sympy, a very good Python module for symbolic mathematics
>>> from sympy import Symbol, Matrix
>>> a = Symbol('a')
>>> b = Symbol('b')
>>> c = Symbol('c')
>>> m = Matrix(([a, b, a*b], [a+b, 0, 0], [c, a, c+b]))
>>> m.det()
-a*b*c + a**2*b**2 - a*b**2 - c*b**2 - b**3 + b*a**3
>>> m.eigenvals()
[... long lines of symbols!!]
Check the sympy documentation on http://docs.sympy.org (and
http://docs.sympy.org/modules/matrices.html#linear-algebra of linear
algebra).
Cheers,
Emmanuelle
On Tue, Jun 09, 2009 at 09:35:45AM -0700, Xiaojian Wang wrote:
> Hi,
> I would like to know if there is any module in Scipy (or Numpy?), which
> has capability
> of symbolic manipulation and can generate matrix's
> eigenvalues/eigenvectors.
> My matrix is symbolic, such as a 3x3 matrix:
> [ a, b, a*b ]
> [a+b, 0, 0 ]
> [c, a, c+b]
> a,b,c could be any values in my future applications.
> if not, do you guy know any other programs can do this?
> Many thanks for your help in advance!
> Xiaoijan
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> SciPy-user at scipy.org
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