Eigenvalues of centrosymmetric matrices
type: Item
instance of: scholarly article
title: Eigenvalues of centrosymmetric matrices
zbMATH Open document ID: 0765.65045
DOI: 10.1007/BF02310535
author: N. Muthiyalu
author: S. Usha
published in: Computing
publication date: 1993-01-11T00:00:00Z
review text: Let \(V_ N\) be the set of \(N\)th order real centrosymmetric matrices such that \(V_ N=\{S\mid\) \(S=JSJ\}\) where \(J\) is the \(N\)th order counter identity matrix defined by \(J_{ij}=\delta_{i,N+1-j}\), \(i,j=1,2,\dots,N\). The paper considers the generalized eigenvalue problems \((S-\mu T)\{X\}=\{0\}\) and \((ST-\mu I)\{X\}=\{0\}\) with \(S,T\in V_ N\). A method is suggested to replace the eigenvalue problems by two equivalent smaller order eigenproblems. The method is effective in saving computing time.
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 86173
zbMATH Keywords: centrosymmetric matrix
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenvectors
zbMATH Keywords: differential equations
reviewed by: Cheng-Xian Xu
MaRDI profile type: Publication
cites work: Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
cites work: Q5642664
cites work: Q5775371
full work available at URL: https://doi.org/10.1007/bf02310535
OpenAlex ID: W381943850
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description: scientific article; zbMATH DE number 86173