Infinite products of matrices with some negative elements and row sums equal to one
type: Item
instance of: scholarly article
title: Infinite products of matrices with some negative elements and row sums equal to one
zbMATH Open document ID: 0696.15019
DOI: 10.1016/0024-3795(90)90334-9
author: P.-C. G. Vassiliou
author: G. Tsaklidis
published in: Linear Algebra and its Applications
publication date: 1990-01-01T00:00:00Z
review text: Infinite products of matrices with some negative entries and row sums equal to one are considered. For a certain special type of such matrices the product is shown to converge. A technique based on the concept of generalized inverses is developed to determine the product limit.
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 4139949
zbMATH Keywords: Infinite products of matrices
zbMATH Keywords: generalized inverses
zbMATH Keywords: product limit
reviewed by: Richard Sinkhorn
MaRDI profile type: Publication
full work available at URL: 0024-3795(90)90334-9
OpenAlex ID: W2011245024
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cites work: On the use of the direct matrix product in analysing certain stochastic population models
cites work: Q4048871
cites work: Q5601989
cites work: Q5556138
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cites work: Asymptotic variability of nonhomogeneous Markov systems under cyclic behaviour
cites work: Limiting second moments for transient states of Markov chains
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description: scientific article; zbMATH DE number 4139949