Tensored polynomial models

P. A. Fuhrmann, U. Helmke

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The theme of the present paper is to introduce and study two different versions of tensor products of functional models, one over the underlying field and the other over the corresponding algebra of polynomials, as well as related models based on the Kronecker product of polynomial matrices. In the process, we study the Sylvester equation and its reduction to a polynomial matrix equation. We analyse the relation between the two tensor products and use this to elucidate the role of the Anderson-Jury generalized Bezoutians in this context.

Original languageEnglish
Pages (from-to)678-721
Number of pages44
JournalLinear Algebra and Its Applications
Issue number2-3
StatePublished - 15 Jan 2010


  • Bezoutians
  • Kronecker products
  • Polynomial models
  • Sylvester equation
  • Tensor products

ASJC Scopus subject areas

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


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