Eigenvalue asymptotic expansion for non-Hermitian tetradiagonal Toeplitz matrices with real spectrum
type: Item
instance of: scholarly article
title: Eigenvalue asymptotic expansion for non-Hermitian tetradiagonal Toeplitz matrices with real spectrum
zbMATH Open document ID: 1541.15006
author: Manuel Bogoya
author: Juanita Gasca
author: S. M. Grudsky
published in: Journal of Mathematical Analysis and Applications
publication date: 2024-05-23T00:00:00Z
review text: In this paper, the eigenvalues of certain Toeplitz matrices are studied using the generating function \(a_2 z^2 + a_1 z + a_0 + a_{-1} z^{-1}\), \(a_2, a_{-1} \neq 0\). Concretely, the authors use the Widom formula for the determinants of finite Toeplitz matrices to get a localization of all the eigenvalues.\NSome numerical experiments are given to test the main results.
reviewed by: Julio Benítez
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15B05
zbMATH DE Number: 7852388
zbMATH Keywords: Toeplitz matrix
zbMATH Keywords: eigenvalues
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: limiting set
zbMATH Keywords: Laurent polynomial
MaRDI profile type: Publication
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DOI: 10.1016/J.JMAA.2023.127816
description: scientific article; zbMATH DE number 7852388