2 citations · 3 across the 3 of their papers we have counts for
4 papers
Riemannian Newton optimization methods for the symmetric tensor approximation problem
Rima Khouja, Houssam Khalil, Bernard Mourrain
The Symmetric Tensor Approximation problem (STA) consists of approximating a symmetric tensor or a homogeneous polynomial by a linear combination of symmetric rank-1 tensors or pow…
Structured low rank decomposition of multivariate Hankel matrices
Jouhayna Harmouch, Houssam Khalil, Bernard Mourrain
We study the decomposition of a multivariate Hankel matrix H\_ as a sum of Hankel matrices of small rank in correlation with the decomposition of its symbol as a sum of poly…
Superfast solution of Toeplitz systems based on syzygy reduction
Houssam Khalil, Bernard Mourrain, Michelle Schatzman
We present a new superfast algorithm for solving Toeplitz systems. This algorithm is based on a relation between the solution of such problems and syzygies of polynomials or moving…
Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials
Houssam Khalil, Bernard Mourrain, Michelle Schatzman
In this paper, we re-investigate the resolution of Toeplitz systems , from a new point of view, by correlating the solution of such problems with syzygies of polynomials or…