JournalszaaVol. 21, No. 1pp. 3–20

Tensor Algebras and Displacement Structure I. The Schur Algorithm

  • Tiberiu Constantinescu

    University of Texas at Dallas, United States
  • J. L. Johnson

    University of Texas at Dallas, Richardson, USA
Tensor Algebras and Displacement Structure I. The Schur Algorithm cover
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Abstract

In this paper we explore the connection between tensor algebras and displacement structure. Thus, we describe a scattering experiment in this framework, we obtain a realization of the elements of the tensor algebra as transfer maps of a certain class of non-stationary linear systems, and we describe a Schur type algortihm for the Schur elements of the tensor algebra.

Cite this article

Tiberiu Constantinescu, J. L. Johnson, Tensor Algebras and Displacement Structure I. The Schur Algorithm. Z. Anal. Anwend. 21 (2002), no. 1, pp. 3–20

DOI 10.4171/ZAA/1062