Primitivity of products of Leslie matrices
type: Item
instance of: scholarly article
title: Primitivity of products of Leslie matrices
zbMATH Open document ID: 0554.92007
DOI: 10.1007/BF02459644
published in: Bulletin of Mathematical Biology
publication date: 1985-01-01T00:00:00Z
review text: An earlier paper by \textit{E. L. Keller}, ibid. 42, 181-189 (1980; Zbl 0422.92019), gave necessary and sufficient conditions for primitivity of a product of two Leslie matrices. This paper generalizes that result to an arbitrary number of Leslie matrices. The generalized result shows that Keller's is, from one viewpoint, more conveniently stated in a slightly different form (our equation (6)). This restatement in turn simplifies the proof of his special case of the general result. It also shows that the case of products of just pairs of matrices is a special one in that the simple form of result obtained for that case does not retain its simplicity when generalized to higher order products.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 15A99
zbMATH DE Number: 3883989
zbMATH Keywords: products of Leslie matrices
zbMATH Keywords: primitivity
author: Gregory Clive Taylor
MaRDI profile type: Publication
cites work: Primitivity of the product of two Leslie matrices
full work available at URL: https://doi.org/10.1007/bf02459644
OpenAlex ID: W4233171812
description: scientific article; zbMATH DE number 3883989