Basic properties of the projective product with application to products of column-allowable nonnegative matrices
type: Item
instance of: scholarly article
title: Basic properties of the projective product with application to products of column-allowable nonnegative matrices
zbMATH Open document ID: 0941.93012
DOI: 10.1007/PL00009860
author: Laurent Mevel
author: François Le Gland
published in: MCSS. Mathematics of Control, Signals, and Systems
publication date: 2000-07-24T00:00:00Z
review text: Exponential bounds for the Lipschitz constant associated with the projective product of column-allowable nonnegative matrices are obtained. Bounds for the associated linear tangent maps are also found. Similar bounds have been obtained by Kaijser, and by Arapostathis and Marcus, using earlier results of Furstenberg and Kesten for the product of positive matrices. The main goal is to improve these bounds, in a more general context where matrices are only primitive, and to consider related problems for the linear tangent equation.
reviewed by: Vyacheslav A. Vasiliev
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 1428466
zbMATH Keywords: projective product
zbMATH Keywords: Birkhoff contraction coefficient
zbMATH Keywords: cocycle
zbMATH Keywords: exponential forgetting
zbMATH Keywords: product of matrices
zbMATH Keywords: primitive matrix
MaRDI profile type: Publication
full work available at URL: pl00009860
OpenAlex ID: W2044358125
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description: scientific article; zbMATH DE number 1428466