The Schur algorithm for generalized Schur functions III: J -unitary matrix polynomials on the circle

Daniel Alpay; Tomas Azizov; Aad Dijksma; Heinz Langer

doi:10.1016/S0024-3795(02)00734-6

The Schur algorithm for generalized Schur functions III: J -unitary matrix polynomials on the circle

Daniel Alpay
, Tomas Azizov
, Aad Dijksma
, Heinz Langer

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The Schur algorithm for generalized Schur functions was used for solving a unitary matrix polynomial on the unit circle. The result obtained for a 2×2 matrix polynomial on the unit circle was essentially a unique product of elementary 2×2 matrix. The paper also described the reproducing of Kernel Pontryagin spaces associated with generalized Schur functions.

Original language	English
Pages (from-to)	113-144
Number of pages	32
Journal	Linear Algebra and Its Applications
Volume	369
Issue number	SUPP.
DOIs	https://doi.org/10.1016/S0024-3795(02)00734-6
State	Published - 1 Aug 2003

Keywords

Elementary J -unitary matrix polynomials
Generalized Schur algorithm
Generalized Schur functions
Kernels with negative squares
Minimal factorizations
Reproducing kernel Pontryagin spaces

ASJC Scopus subject areas

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

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10.1016/S0024-3795(02)00734-6

Cite this

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abstract = "The Schur algorithm for generalized Schur functions was used for solving a unitary matrix polynomial on the unit circle. The result obtained for a 2×2 matrix polynomial on the unit circle was essentially a unique product of elementary 2×2 matrix. The paper also described the reproducing of Kernel Pontryagin spaces associated with generalized Schur functions.",

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AU - Langer, Heinz

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N2 - The Schur algorithm for generalized Schur functions was used for solving a unitary matrix polynomial on the unit circle. The result obtained for a 2×2 matrix polynomial on the unit circle was essentially a unique product of elementary 2×2 matrix. The paper also described the reproducing of Kernel Pontryagin spaces associated with generalized Schur functions.

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KW - Generalized Schur algorithm

KW - Generalized Schur functions

KW - Kernels with negative squares

KW - Minimal factorizations

KW - Reproducing kernel Pontryagin spaces

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The Schur algorithm for generalized Schur functions III: J -unitary matrix polynomials on the circle

Abstract

Keywords

ASJC Scopus subject areas

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