Remarks on upper bounds for dominance ratios of nonnegative matrices
type: Item
instance of: scholarly article
title: Remarks on upper bounds for dominance ratios of nonnegative matrices
zbMATH Open document ID: 1052.15018
published in: Southeast Asian Bulletin of Mathematics
publication date: 2004-05-27T00:00:00Z
review text: The dominance ratio of a matrix is the ratio of the absolute value of the largest eigenvalue to the next largest in absolute value. This paper improves upper bounds obtained by \textit{W.T. Tong} [Acta Math. Sin. 22, 185--194 (1979; Zbl 0398.15016)] for the dominance ratio in terms of row sums, largest and smallest entries of nonnegative matrices, and the index of imprimitivity.
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 2067261
zbMATH Keywords: nonnegative matrix
zbMATH Keywords: irreducible matrix
zbMATH Keywords: dominance ratio
zbMATH Keywords: spectral radius
zbMATH Keywords: largest eigenvalue
zbMATH Keywords: index of imprimitivity
author: Bo Zhou
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2067261