112 citations · 425 across the 52 of their papers we have counts for
4 papers · 1 filter
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…
General Tensor Decomposition, Moment Matrices and Applications
Alessandra Bernardi, Jerome Brachat, Pierre Comon +1
The tensor decomposition addressed in this paper may be seen as a generalisation of Singular Value Decomposition of matrices. We consider general multilinear and multihomogeneous t…
Extensors and the Hilbert scheme
Jerome Brachat, Paolo Lella, Bernard Mourrain +1
The Hilbert scheme parametrizes closed subschemes and families of closed subschemes in the projective space with a fixed Hilbert polynomia…
Deflation and Certified Isolation of Singular Zeros of Polynomial Systems
Angelos Mantzaflaris, Bernard Mourrain
We develop a new symbolic-numeric algorithm for the certification of singular isolated points, using their associated local ring structure and certified numerical computations. An…