On the elementary divisors of the Sylvester and Lyapunov maps
type: Item
instance of: scholarly article
title: On the elementary divisors of the Sylvester and Lyapunov maps
zbMATH Open document ID: 1188.15021
published in: Linear Algebra and its Applications
publication date: 2010-04-06T00:00:00Z
review text: The determination of the elementary divisors of the tensor product of two matrices is connected with the names Roth, Aitken, Marcus and Robinson, Brualdi, Norman, as well as the authors who studied tensor products of functional models in some detail [Linear Algebra Appl. 432, No. 2--3, 678--721 (2010; Zbl 1181.15032)]. In the present paper they focus mainly on the computation of the elementary divisors of the Sylvester and Lyapunov maps. The authors see the main advantage of the functional setting in that the computation of elementary divisors reduces to scalar polynomial modular arithmetic.
Mathematics Subject Classification ID: 15A69
zbMATH DE Number: 5689423
zbMATH Keywords: tensor products
zbMATH Keywords: polynomial models
zbMATH Keywords: invariant factors
zbMATH Keywords: the Sylvester map
zbMATH Keywords: the Lyapunov map
author: P. A. Fuhrmann
author: Uwe Helmke
reviewed by: Rabe von Randow
MaRDI profile type: Publication
full work available at URL: j.laa.2009.12.003
OpenAlex ID: W2005943013
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DOI: 10.1016/J.LAA.2009.12.003
description: scientific article; zbMATH DE number 5689423