The spectral radius of a product of nonnegative matrices
type: Item
instance of: scholarly article
title: The spectral radius of a product of nonnegative matrices
zbMATH Open document ID: 0712.15013
DOI: 10.1016/0024-3795(90)90320-C
author: Charles R. Johnson
author: R. Bru
published in: Linear Algebra and its Applications
publication date: 1990-01-01T00:00:00Z
review text: The authors investigate upper and lower bounds of the ratio of the spectral radius of the product of a finite number of nonnegative square matrices with each having a positive Perron right eigenvector to the product of the separate spectral radii of the matrices. The question of such bounds arose from some problems in mathematical demography. Separate questions about the invariance under a variety of transformations, eigenvectors with some zero components, the special case of two matrices, and the case of equality of the two bounds are investigated in detail.
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 91D20
zbMATH DE Number: 4171119
zbMATH Keywords: nonnegative matrices
zbMATH Keywords: spectral radius
zbMATH Keywords: positive Perron right eigenvector
zbMATH Keywords: mathematical demography
MaRDI profile type: Publication
cites work: On the dynamics of a population subject to slowly changing vital rates
cites work: Matrix Analysis
full work available at URL: 0024-3795(90)90320-c
OpenAlex ID: W2038483178
description: scientific article; zbMATH DE number 4171119