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math.AG2013★ 7 cited
Exact relaxation for polynomial optimization on semi-algebraic sets
Marta Abril Bucero, Bernard Mourrain
In this paper, we study the problem of computing by relaxation hierarchies the infimum of a real polynomial function f on a closed basic semialgebraic set and the points where this…
math.AG2013★ 2 cited
Unconstraint global polynomial optimization via Gradient Ideal
Marta Abril Bucero, Bernard Mourrain, Philippe Trebuchet
In this paper, we describe a new method to compute the minimum of a real polynomial function and the ideal defining the points which minimize this polynomial function, assuming tha…