Critical points and Gröbner bases
Jean‐Charles Faugère, Mohab Safey El Din, Pierre-Jean Spaenlehauer · 2012
We consider the problem of computing critical points of the restriction of a polynomial map to an algebraic variety. This is of first importance since the global minimum of such a map is reached at a critical point. Thus, these points appear naturally in non-convex polynomial optimization which occurs in a wide range of scientific applications (control theory, chemistry, economics,...).