Analytical inversion of general periodic tridiagonal matrices
type: Item
instance of: scholarly article
title: Analytical inversion of general periodic tridiagonal matrices
zbMATH Open document ID: 1147.15002
author: Mohamed A. El-Shehawey
author: Gh. A. El-Shreef
author: A. Sh. Al-Henawy
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-06-24T00:00:00Z
review text: The authors generalize the work of \textit{Y. Huang} and \textit{W. F. McColl} [J. Phys. A, Math. Gen. 30, No. 22, 7919--7933 (1997; Zbl 0927.15003)] and present an analytical formula for the inversion of general periodic tridiagonal matrices, and provide some simple analytical forms which lead to closed formulae for some special cases such as symmetric or perturbed Toeplitz for both periodic and non-periodic tridiagonal matrices. Illustrative examples and a computational algorithm for general periodic tridiagonal matrix inversion are given as well.
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 5292293
zbMATH Keywords: tridiagonal matrix inversion
zbMATH Keywords: block matrix inversion
zbMATH Keywords: Toeplitz tridiagonal matrix
zbMATH Keywords: periodic matrices
zbMATH Keywords: algorithm
describes a project that uses: Maple
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.04.002
OpenAlex ID: W2047754287
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DOI: 10.1016/J.JMAA.2008.04.002
description: scientific article; zbMATH DE number 5292293