I have a large computation where I need to compute the number of positive
eigenvalues of a matrix.
I am currently computing all the eigenvalues then counting how many are
positive, but I see when profiling that "{method 'roots' of
'sage.rings.polynomial.polynomial_element.Polynomial' objects}" is taking up
most of the time.
Any way to just get sign?
Or to use estimates to speed up most of the computation, and I can recompute
any that have more than 1 positive eigenvalues exactly. I'd really like to
avoid any false negatives though.
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