Lower bounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices
type: Item
instance of: scholarly article
title: Lower bounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices
zbMATH Open document ID: 1069.15017
published in: Applied Mathematics and Computation
publication date: 2004-11-23T00:00:00Z
review text: The author obtains lower bounds for the spectral and Frobenius norms of the two \(n\times n\) matrices whose \((i,j)\)th elements are \(2/(1+2(i-j))\) and \(2/(1+2(i+j))\) respectively.
reviewed by: Alan L. Andrew
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 2117748
zbMATH Keywords: Cauchy-Toeplitz matrix
zbMATH Keywords: Cauchy-Hankel matrix
zbMATH Keywords: spectral norm
zbMATH Keywords: lower bound
zbMATH Keywords: Frobenius norm
author: A. Dılek Maden
MaRDI profile type: Publication
full work available at URL: j.amc.2003.08.103
OpenAlex ID: W2086811656
cites work: On thelpnorms of cauchy-toelitz matrices
cites work: Q4335440
cites work: On the distribution of the singular values of Toeplitz matrices
cites work: Cauchy-Toeplitz matrices and some applications
cites work: On the bounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices
cites work: On the spectral norms of Cauchy-Toeplitz and Cauchy-Hankel matrices.
cites work: Further bounds for the smallest singular value and the spectral condition number
DOI: 10.1016/J.AMC.2003.08.103
description: scientific article; zbMATH DE number 2117748