On the elementary divisors of the Sylvester and Lyapunov maps

P. A. Fuhrmann, U. Helmke

Research output: Contribution to journalArticlepeer-review

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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.

Original languageEnglish
Pages (from-to)2572-2588
Number of pages17
JournalLinear Algebra and Its Applications
Volume432
Issue number10
DOIs
StatePublished - 1 May 2010

Keywords

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

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