2 citations · 6 across the 6 of their papers we have counts for
6 papers
Asymptotic expansion of the eigenvalues of a Toeplitz matrix with a real symbol
Philippe Rambour
Asymptotic expansion of the eigenvalues of a Toeplitz matrix with real symbol. This work provides two results obtained as a consequence of an inversion formula for Toeplitz matrice…
Expression asymptotique des valeurs propres d'une matrice de Toeplitz à symbole réel
Philippe Rambour
This work provides two results obtained as a consequence of an inversion formula for Toeplitz matrices with real symbol. First we obtain an asymptotic expression for the minimal ei…
Valeur propre minimale d'une matrice de Toeplitz et d'un produit de matrices de Toeplitz
Philippe Rambour
This paper is essentially devoted to the study of the minimal eigenvalue of the Toepllitz matrice where with $…
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…