An extension of a result of Szegő on eigenvalues of Toeplitz matrices
type: Item
instance of: scholarly article
title: An extension of a result of Szegő on eigenvalues of Toeplitz matrices
zbMATH Open document ID: 1125.47021
author: Philippe Rambour
author: Abdellatif Seghier
published in: Bulletin des Sciences Mathématiques
publication date: 2007-05-04T00:00:00Z
review text: The authors of the paper under review study the asymptotic behavior of eigenvalues of Toeplitz matrices. In particular, they find asymptotic behavior of the eigenvalues of Toeplitz matrices \(T_N(g)\), with \(g(e^{i\theta})=(1-\cos\theta)^\alpha f(e^{i\theta})\), where \(f\) is a regular function. In particular, they obtain the order of the smallest and the largest eigenvalues.
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 47B39
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 5149356
zbMATH Keywords: Toeplitz matrices
zbMATH Keywords: eigenvalues
MaRDI profile type: Publication
full work available at URL: j.bulsci.2006.07.001
OpenAlex ID: W2035745170
cites work: Introduction to large truncated Toeplitz matrices
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cites work: On the Extreme Eigenvalues of Toeplitz Matrices
cites work: Formulas for the inverses of Toeplitz matrices with polynomially singular symbols
cites work: Inverses and spectral properties of Toeplitz matrices with singular symbol
cites work: Extreme Eigenvalues of Translation Kernels
DOI: 10.1016/J.BULSCI.2006.07.001
description: scientific article; zbMATH DE number 5149356