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5
votes
Nonnegative coefficients of a product of polynomials
If however, as I suspect, there is no algorithm (to decide strict positivity on an orthant), then there is a problem. …
8
votes
Accepted
One of Poincaré's theorems about positive rational functions
For the more general problem, given $P$ with nonnegative coefficients, and $f$, iff conditions for there to be $n$ such that $P^n f$ has no negative coefficients are given in Deciding eventual positivity … Positivity at the zero-dimensional faces comes for free from $f > 0$ on the positive orthant. …
17
votes
Accepted
When can a function be made positive by averaging?
A fine variation is given in Deciding eventual positivity of polynomials, Ergodic theory and dynamical systems
(1986) 6, 57-79, which determines, given $P$ with no negative coefficients, when there exists …