𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic Behavior of Random Vandermonde Matrices With Entries on the Unit Circle

✍ Scribed by Ryan, O.; Debbah, M.


Book ID
114641692
Publisher
IEEE
Year
2009
Tongue
English
Weight
871 KB
Volume
55
Category
Article
ISSN
0018-9448

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Asymptotic Behavior of Sobolev-Type Orth
✍ Ana FoulquiΓ© Moreno; Francisco MarcellΓ‘n; K. Pan πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 184 KB

We study the asymptotic behavior of the sequence of polynomials orthogonal with respect to the discrete Sobolev inner product on the unit circle is a M\_M positive definite matrix or a positive semidefinite diagonal block matrix, M=l 1 + } } } +l m +m, d+ belongs to a certain class of measures, and

Asymptotic Behavior of Orthogonal Polyno
✍ X. Li; K. Pan πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 473 KB

For a positive measure \(\mu\) on the unit circle \((\Gamma)\) in the complex plane, \(m\) points \(z_{j}\) off \(\Gamma\) and \(m\) positive numbers \(A_{j}, j=1,2, \ldots, m\), we investigate the asymptotic behavior of orthonormal polynomials \(\Phi_{n}(z)\) corresponding to \(d_{\mu} / 2 \pi+\) \

Asymptotic Behaviour of Orthogonal Polyn
✍ Franz Peherstorfer; Robert Steinbauer πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 192 KB

In this paper we study orthogonal polynomials with asymptotically periodic reflection coefficients. It's known that the support of the orthogonality measure of such polynomials consists of several arcs. We are mainly interested in the asymptotic behaviour on the support and derive weak convergence r