SymPy can do it, as long as it can compute the roots of the
characteristic polynomial. Is there any specific use-case you're
looking for? The syntax is Matrix.diagonalize (or sqrt(Matrix) if all
you want is the square root).

Aaron Meurer

On Thu, Oct 2, 2014 at 6:54 PM, Chris Kees <[email protected]> wrote:
> Hi,
>
> Does anybody have suggestions on sympy examples for symbolic eigenvector
> decompositions A=RDR^t where A is symmetric with real positive distinct
> eigenvalues? Or more specifically symbolic computations of A^{-1/2}.
>
> Chris
>
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