Properties of the Brualdi-Li tournament matrix
type: Item
instance of: scholarly article
title: Properties of the Brualdi-Li tournament matrix
zbMATH Open document ID: 1017.05074
DOI: 10.1016/S0024-3795(02)00265-3
author: Rohan Hemasinha
author: James R. Weaver
author: Jeffrey Stuart
author: S. J. Kirkland
published in: Linear Algebra and its Applications
publication date: 2003-03-11T00:00:00Z
review text: It has been conjectured that the Brualdi-Li tournament matrix has the largest spectral radius among all tournament matrices of even order. In this paper the authors find two forms of the characteristic polynomial of the Brualdi-Li tournament matrix. From this they deduce, among other things, that the roots of the polynomial are simple and that the matrix is diagonalizable.
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C20
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 1880047
zbMATH Keywords: characteristic polynomial
reviewed by: J. W. Moon
MaRDI profile type: Publication
cites work: Algebraic multiplicity of the eigenvalues of a tournament matrix
cites work: On almost regular tournament matrices
cites work: Q4281317
cites work: Hypertournament matrices, score vectors and eigenvalues
cites work: On the minimum Perron value for an irreducible tournament matrix
cites work: A note on the sequence of Brualdi-Li matrices
cites work: Q5585195
cites work: On tournament matrices
description: scientific article; zbMATH DE number 1880047