Mathematics – Algebraic Geometry
Scientific paper
2009-06-23
Mathematics
Algebraic Geometry
Scientific paper
We present a new positive lower bound for the minimum value taken by a polynomial P with integer coefficients in k variables over the standard simplex of R^k, assuming that P is positive on the simplex. This bound depends only on the number of variables, the degree and the bitsize of the coefficients of P and improves all previous bounds for arbitrary polynomials which are positive over the simplex.
Jeronimo Gabriela
Perrucci Daniel
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