Some results on complex Toeplitz eigenvalues
type: Item
instance of: scholarly article
title: Some results on complex Toeplitz eigenvalues
zbMATH Open document ID: 0935.15002
author: Paolo Tilli
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-05-10T00:00:00Z
review text: The asymptotic behavior of the eigenvalues of Toeplitz matrices generated by a complex valued symbol \(f\) are considered. If the range of \(f\) has an empty interior and does not separate the complex plane, then the Toeplitz eigenvalues have the canonical distribution. The clustering properties of the eigenvalues are discussed. Applications involve discussions on irregular symbols and suitable range, piecewise smooth closed curves, and PC symbols with several jumps. The results are extended to multilevel Toeplitz matrices.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1384929
zbMATH Keywords: complex Toeplitz eigenvalues
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: clustering
zbMATH Keywords: irregular symbols
zbMATH Keywords: multilevel Toeplitz matrices
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6572
OpenAlex ID: W1999875980
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DOI: 10.1006/JMAA.1999.6572
description: scientific article; zbMATH DE number 1384929