34 citations · 57 across the 6 of their papers we have counts for
3 papers · 1 filter
Toric Border Bases
Bernard Mourrain, Philippe Trebuchet
We extend the theory and the algorithms of Border Bases to systems of Laurent polynomial equations, defining "toric" roots. Instead of introducing new variables and new relations t…
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…
Moment Matrices, Border Bases and Real Radical Computation
Jean-Bernard Lasserre, Monique Laurent, Bernard Mourrain +2
In this paper, we describe new methods to compute the radical (resp. real radical) of an ideal, assuming it complex (resp. real) variety is finite. The aim is to combine approaches…