Tensor algebras, displacement structure, and the Schur algorithm

2001/01/30 by T. Constantinescu, J. L. Johnson, Constantinescu, T. +1
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #math.FA

paper · pdf · doi:10.48550/arxiv.math/0101252

17 pages

arxiv created 2001/01/30 · openalex publication_date 2001/01/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we explore the connection between tensor algebras and displacement structure. 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 nonstationary linear systems, and we describe a Schur algorithm for the Schur elements of the tensor algebra.

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