7 citations · 10 across the 4 of their papers we have counts for
4 papers · 1 filter
On the construction of general cubature formula by flat extensions
Marta Abril Bucero, Chandrajit Bajaj, Bernard Mourrain
We describe a new method to compute general cubature formulae. The problem is initially transformed into the computation of truncated Hankel operators with flat extensions. We then…
Border Basis relaxation for polynomial optimization
Marta Abril Bucero, Bernard Mourrain
A relaxation method based on border basis reduction which improves the efficiency of Lasserre's approach is proposed to compute the optimum of a polynomial function on a basic clos…
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…
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…