Some identities for determinants of structured matrices
type: Item
instance of: scholarly article
title: Some identities for determinants of structured matrices
zbMATH Open document ID: 0994.15008
DOI: 10.1016/S0024-3795(01)00400-1
author: Estelle Basor
author: Torsten Ehrhardt
published in: Linear Algebra and its Applications
publication date: 2002-05-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0008075
review text: The authors establish several relations between the determinants of the following structured matrices: Hankel matrices, symmetric Toeplitz and Hankel matrices and Toeplitz matrices. Using known results for the asymptotic behavior of Toeplitz determinants, these identities are used in order to obtain Fisher-Hartwig type results on the asymptotics of certain skew-symmetric Toeplitz determinants and certain Hankel determinants.
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1741654
zbMATH Keywords: Toeplitz matrix
zbMATH Keywords: Hankel matrix
zbMATH Keywords: determinant
zbMATH Keywords: asymptotics
reviewed by: Rodica Covaci
MaRDI profile type: Publication
arXiv ID: math/0008075
cites work: Asymptotic formulas for determinants of a sum of finite Toeplitz and Hankel matrices
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cites work: Toeplitz matrices with an exponential growth of entries and the first Szegő limit theorem
cites work: Q3844537
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description: scientific article