On Thursday, June 11, 2015 at 5:26:28 PM UTC+2, Phoenix wrote:
> I have two polynomials $p(x)$ and $q(x)$ and I want to know if there are
> roots of the equation $\frac{p'}{p} = \frac{q'}{q}$ in the domain
> $(a,\infinity)$ - where $a = max \{ roots(p),roots(q) \}$
>
> This is the same as asking for the roots of the polynomial, $p'q - pq' =
> 0$ in the same domain.
>
> - Can something in Sage help?
>
Depending on the coefficient field, the degree of the polynomials, accuracy
etc. You can also take a look at Sturm's theorem and Sturm's sequence.
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