most citedA bound on the minimum of a real positive polynomial over the standard simplex

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cs.SC2009★ 12 cited

A bound on the minimum of a real positive polynomial over the standard simplex

Saugata Basu, Richard Leroy, Marie-Francoise Roy

We consider the problem of bounding away from 0 the minimum value m taken by a polynomial P of Z[X_1,...,X_k] over the standard simplex, assuming that m>0. Recent algorithmic devel…