Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices
type: Item
instance of: scholarly article
title: Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices
zbMATH Open document ID: 0964.15027
published in: Calcolo
publication date: 2001-07-19T00:00:00Z
review text: Given a continuous function \(a\) on the complex unit circle, let \(T(a)\) denote the infinite Toeplitz matrix generated by \(a\) and let \(T_n (a)\) stand for the \((n+1)\times(n+1)\) principal section of \(T(a)\). This paper provides estimates for the speed with which \(\|T_n^{-1}(a)\|\) converges to \(\|T^{-1} (a)\|\). In the ``generic case'' the speed is estimated by the smoothness of \(a\).
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 1330874
zbMATH Keywords: convergence speed estimates
zbMATH Keywords: norms
zbMATH Keywords: inverses
zbMATH Keywords: infinite Toeplitz matrix
author: A. Böttcher
author: S. M. Grudsky
author: Anatoli V. Kozak
author: B. Silbermann
reviewed by: Sanjo Zlobec
MaRDI profile type: Publication
full work available at URL: s100920050025
OpenAlex ID: W2034834605
DOI: 10.1007/S100920050025
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description: scientific article; zbMATH DE number 1330874