On almost regular tournament matrices
type: Item
instance of: scholarly article
title: On almost regular tournament matrices
zbMATH Open document ID: 0947.05040
DOI: 10.1016/S0024-3795(99)00249-9
author: Carolyn A. Eschenbach
author: Frank J. Hall
author: Rohan Hemasinha
author: Zhongshan Li
author: Jeffrey Stuart
author: James R. Weaver
author: S. J. Kirkland
author: Bryan L. Shader
published in: Linear Algebra and its Applications
publication date: 2000-08-07T00:00:00Z
review text: For any \(n\times n\) tournament matrix \(T\), let \(M_T\) denote the almost regular \(2n\times 2n\) tournament matrix with diagonal block \(T\), upper off-diagonal block \(T^t\), and lower off-diagonal block \(T^t+ I\). The authors show that among the class of matrices \(M_T\), the Brualdi-Li matrix has the largest Perron value. They also determine spectral and determinantal properties of matrices \(M_T\).
Mathematics Subject Classification ID: 05C20
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 1421387
zbMATH Keywords: eigenvalues
zbMATH Keywords: determinant
zbMATH Keywords: tournament matrix
zbMATH Keywords: Brualdi-Li matrix
zbMATH Keywords: Perron value
reviewed by: J. W. Moon
MaRDI profile type: Publication
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Wikidata QID: Q126642703
description: scientific article; zbMATH DE number 1421387