112 citations · 425 across the 52 of their papers we have counts for
5 papers · 1 filter
A Sparse Flat Extension Theorem for Moment Matrices
Monique Laurent, Bernard Mourrain
In this note we prove a generalization of the flat extension theorem of Curto and Fialkow for truncated moment matrices. It applies to moment matrices indexed by an arbitrary set o…
Moment matrices, trace matrices and the radical of ideals
Itnuit Janovitz-Freireich, Agnes Szanto, Bernard Mourrain +1
Let be a system of polynomials generating a zero-dimensional ideal $\I$, where is an arbitrary algebraically closed field. As…
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…
On the Computation of the Topology of a Non-Reduced Implicit Space Curve
Daouda Niang Diatta, Bernard Mourrain, Olivier Ruatta
An algorithm is presented for the computation of the topology of a non-reduced space curve defined as the intersection of two implicit algebraic surfaces. It computes a Piecewise L…
Symmetric tensors and symmetric tensor rank
Pierre Comon, Gene Golub, Lek-Heng Lim +1
A symmetric tensor is a higher order generalization of a symmetric matrix. In this paper, we study various properties of symmetric tensors in relation to a decomposition into a sum…