An upper bound on the Perron value of an almost regular tournament matrix
type: Item
instance of: scholarly article
title: An upper bound on the Perron value of an almost regular tournament matrix
zbMATH Open document ID: 1019.15004
DOI: 10.1016/S0024-3795(01)00552-3
published in: Linear Algebra and its Applications
publication date: 2003-03-11T00:00:00Z
review text: The author finds an upper value on the Perron value of an almost regular tournament matrix that is better than Friedland's bound, using quadratic programming.
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 1880044
zbMATH Keywords: tournament matrix
zbMATH Keywords: Perron value
zbMATH Keywords: Perron vector
zbMATH Keywords: bounds for eigenvalues
author: S. J. Kirkland
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
cites work: Q3872493
cites work: Q4326384
cites work: On the characteristic roots of tournament matrices
cites work: Q4281317
cites work: Q5569992
cites work: Hypertournament matrices, score vectors and eigenvalues
cites work: A note on the sequence of Brualdi-Li matrices
cites work: Perron vector bounds for a tournament matrix with applications to a conjecture of Brualdi and Li
cites work: A note on Perron vectors for almost regular tournament matrices
cites work: Q5585195
description: scientific article; zbMATH DE number 1880044