34 citations · 57 across the 6 of their papers we have counts for
6 papers
Reaching sub-milimag photometric precision on Beta Pictoris with a nanosat: the PicSat mission
M. Nowak, S. Lacour, V. Lapeyrère +6
PicSat is a nanosatellite currently being developed to observe the transit of the giant planet \b{eta} Pictoris, expected some time between July 2017 and June 2018. The mission is…
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…
Stable normal forms for polynomial system solving
Bernard Mourrain, Philippe Trébuchet
This paper describes and analyzes a method for computing border bases of a zero-dimensional ideal . The criterion used in the computation involves specific commutation polynomia…
Strong bi-homogeneous Bézout theorem and its use in effective real algebraic geometry
Mohab Safey El Din, Philippe Trebuchet
Let f1, ..., fs be a polynomial family in Q[X1,..., Xn] (with s less than n) of degree bounded by D. Suppose that f1, ..., fs generates a radical ideal, and defines a smooth algebr…