Hi,
(from sage days 55)
I would like to fix .eigenvalues() for matrices in order to work over
finite fields. Currently
{{{
sage: K = GF(3)
sage: m = MatrixSpace(K,5).random_element()
sage: m.eigenvalues()
Traceback: most recent call (last)
...
NotImplementedError: eigenvalues() is not implemented for matrices
with eigenvalues that are not in the fraction field of the base ring
or in QQbar
}}}
I think the cleanest way would be to have an implementation of the
algebraic closure of Fp. Is there some implementation already
somewhere ? Otherwise, I will fix it using a splitting field of the
characteristic polynomial.
I would be happy to have comments as I am not familiar with algorithms
over finite fields.
Best,
Vincent
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