Eigenvalues and quasi-eigenvalues of banded Toeplitz matrices: Some properties and applications
type: Item
instance of: scholarly article
title: Eigenvalues and quasi-eigenvalues of banded Toeplitz matrices: Some properties and applications
zbMATH Open document ID: 1035.65035
DOI: 10.1023/A:1021197900145
author: Felice Iavernaro
author: Donato Trigiante
author: Francesca Mazzia
published in: Numerical Algorithms
publication date: 2003-03-10T00:00:00Z
review text: The authors consider banded Toeplitz and quasi-Toeplitz matrices, as they may arise from certain discretisations of two-point boundary value problems. The intention is to find a good preconditioner, and the spectrum is important. As this is difficult to compute numerically, quasi-eigenvalues are considered. The connection with pseudo-spectra is nicely established. The paper concludes by constructing a preconditioner for a two-point boundary value problem and some numerical experiments.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L10
zbMATH DE Number: 1879366
zbMATH Keywords: Toeplitz matrices
zbMATH Keywords: circulant preconditioner
zbMATH Keywords: pseudospectrum
zbMATH Keywords: initial value problems
zbMATH Keywords: boundary value methods
zbMATH Keywords: two-point boundary value problem
zbMATH Keywords: numerical experiments
reviewed by: Hermann G. Matthies
MaRDI profile type: Publication
full work available at URL: a:1021197900145
OpenAlex ID: W1545534134
description: scientific article; zbMATH DE number 1879366