Abstract
This paper applies the theory of tensor products of functional models to the study of the Stein equation. We analyse the connections between the Sylvester and Stein equations, as well as those between the Anderson-Jury Bezoutian associated with the polynomial Sylvester equation and the T-Bezoutian associated with the homogeneous polynomial Stein equation. The functional setting allows us to extend the theory of finite section Toeplitz matrices and their inversion.
Original language | English |
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Pages (from-to) | 3031-3071 |
Number of pages | 41 |
Journal | Linear Algebra and Its Applications |
Volume | 432 |
Issue number | 12 |
DOIs | |
State | Published - 1 Jul 2010 |
Keywords
- Bezoutians
- Polynomial models
- Stein and Sylvester equations
- Tensor products
- Toeplitz and Hankel operators
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics