On the elementary divisors of the Sylvester and Lyapunov maps

P. A. Fuhrmann; U. Helmke

doi:10.1016/j.laa.2009.12.003

On the elementary divisors of the Sylvester and Lyapunov maps

P. A. Fuhrmann, U. Helmke

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The paper addresses the problem of computing the elementary divisors of the tensor product of linear transformations using the analysis of the tensor products of polynomial models, as developed in Fuhrmann and Helmke [5]. We use this to study the elementary divisors of the Lyapunov and complementary Lyapunov maps.

Original language	English
Pages (from-to)	2572-2588
Number of pages	17
Journal	Linear Algebra and Its Applications
Volume	432
Issue number	10
DOIs	https://doi.org/10.1016/j.laa.2009.12.003
State	Published - 1 May 2010

Keywords

Invariant factors
Polynomial models
Tensor products
The Lyapunov map
The Sylvester map

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2009.12.003

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abstract = "The paper addresses the problem of computing the elementary divisors of the tensor product of linear transformations using the analysis of the tensor products of polynomial models, as developed in Fuhrmann and Helmke [5]. We use this to study the elementary divisors of the Lyapunov and complementary Lyapunov maps.",

keywords = "Invariant factors, Polynomial models, Tensor products, The Lyapunov map, The Sylvester map",

author = "Fuhrmann, {P. A.} and U. Helmke",

note = "Funding Information: Corresponding author. E-mail address: fuhrmannbgu@gmail.com 1 Partially supported by the ISF under Grant No. 1282/05. 2 Partially supported by the DFG under Grant HE 1858/12-1.",

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N2 - The paper addresses the problem of computing the elementary divisors of the tensor product of linear transformations using the analysis of the tensor products of polynomial models, as developed in Fuhrmann and Helmke [5]. We use this to study the elementary divisors of the Lyapunov and complementary Lyapunov maps.

AB - The paper addresses the problem of computing the elementary divisors of the tensor product of linear transformations using the analysis of the tensor products of polynomial models, as developed in Fuhrmann and Helmke [5]. We use this to study the elementary divisors of the Lyapunov and complementary Lyapunov maps.

KW - Invariant factors

KW - Polynomial models

KW - Tensor products

KW - The Lyapunov map

KW - The Sylvester map

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JF - Linear Algebra and Its Applications

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ER -

On the elementary divisors of the Sylvester and Lyapunov maps

Abstract

Keywords

ASJC Scopus subject areas

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