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math.NA2020★ 1 cited
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…
math.NA2009★ 2 cited
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…