Factorization of J-Unitary Matrix-Polynomials on the Line and a Schur Algorithm for Generalized Nevanlinna Functions

Authors

Daniel Alpay, Chapman UniversityFollow
A. Dijksma, University of Groningen
H. Langer, Vienna University of Technology

Document Type

Article

Publication Date

2004

Abstract

We prove that a 2×2 matrix polynomial which is J-unitary on the real line can be written as a product of normalized elementary J-unitary factors and a J-unitary constant. In the second part we give an algorithm for this factorization using an analog of the Schur transformation.

Comments

This article was originally published in Linear Algebra and its Applications, volume 387, in 2004. DOI: 10.1016/j.laa.2004.02.037

Recommended Citation

D. Alpay, A. Dijksma and H. Langer. Factorization of J-unitary matrix-polynomials on the line and a Schur algorithm for generalized Nevanlinna functions. Linear Algebra and its applications, vol. 387 (2004) pp. 313-342.

Peer Reviewed

1

Copyright

Elsevier