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Nov 17, 2012 at 9:42 comment added Markus Schweighofer @Denis: For polynomials with all roots real, Descartes' rule gives the exact number of roots.
Sep 20, 2012 at 15:37 comment added Denis Serre @David. Descartes' rule does not give the exact number of positive roots of a polynomial, but only an upper bound, and an information mod 2.
Sep 19, 2012 at 20:38 comment added David E Speyer Since we know that all the roots of the characteristic polynomial will be real, why not just use Descartes' Rule of signs to compute how many of them are positive?
Sep 19, 2012 at 20:25 history answered Denis Serre CC BY-SA 3.0