2 citations · 4 across the 4 of their papers we have counts for
4 papers
Matrices de Toeplitz tronquées sur des polygones convexes. Cas du triangle
Jean-Marc Rinkel, Abdellatif Seghier
We consider the class of positive bounded and semi-continuous functions defined on the two dimensional torus If f belongs to this class, then f will be considered as the symbol of…
Trace et valeurs propres extrêmes d'un produit de matrices de Toeplitz. Le cas singulier
Philippe Rambour, Abdellatif Seghier
Trace and extreme eigenvalues of a product of truncated Toeplitz matrices. The singular case. In a first theorem we give an asymptotic expansion of Tr (T_N (f_1) T_N^{-1}(f_2)) whe…
Inversion des matrices de Toeplitz dont le symbole admet un zéro d'ordre fractionnaire positif, valeur propre minimale
Philippe Rambour, Abdellatif Seghier
Inversion of Toeplitz matrices with singular symbol. Minimal eigenvalues. Three results are stated in this paper. The first one is devoted to the study of the orthogonal polynomial…
Comportement asymptotique des polynômes orthogonaux associés à un poids ayant un zéro d'ordre fractionnaire sur le cercle. Applications aux valeurs propres d'une classe de matrices aléatoires unitaires
Philippe Rambour, Abdellatif Seghier
Asymptotic behavior of orthogonal polynomials on the circle, with respect to a weight having a fractional zero on the torus. Applications to the eigenvalues of certain unitary rand…