Tensor Algebras and Displacement Structure I. The Schur Algorithm | Zendy

T. Constantinescu | Zendy; J. L. Johnson | Zendy

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Tensor Algebras and Displacement Structure I. The Schur Algorithm

Author(s) -

T. Constantinescu,

J. L. Johnson

Publication year - 2002

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1062

Subject(s) - tensor (intrinsic definition) , schur's theorem , schur algebra , mathematics , algebra over a field , realization (probability) , connection (principal bundle) , pure mathematics , schur complement , tensor contraction , displacement (psychology) , geometry , physics , tensor product , quantum mechanics , orthogonal polynomials , eigenvalues and eigenvectors , classical orthogonal polynomials , statistics , gegenbauer polynomials , psychology , psychotherapist

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.

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