20 citations · 26 across the 4 of their papers we have counts for
5 papers
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…
Penalty approximation for non smooth constraints in vibroimpact
Laetitia Paoli, Michelle Schatzman
We examine the penalty approximation of the free motion of a material point in an angular domain; we choose an over-damped penalty, and we prove that if the first impact point is n…
A numerical scheme for impact problems
Laetitia Paoli, Michelle Schatzman
We consider a mechanical system with impact and n degrees of freedom, written in generalized coordinates. The system is not necessarily Lagrangian. The representative point of the…
The Thual-Fauve pulse: skew stabilization
Piero de Mottoni, Michelle Schatzman
It is possible to choose the parameters of a real quintic Ginzburg-Landau equation so that it possesses localized pulse-like solutions; Thual and Fauve have observed numerically th…