Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle

Edinson Fuentes; Luis E. Garza

doi:10.1515/ms-2017-0472

Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle

Edinson Fuentes, Luis E. Garza^*

^*Corresponding author for this work

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

Abstract

In this contribution, we study properties of block Hessenberg matrices associated with matrix orthonormal polynomials on the unit circle. We also consider the Uvarov and Christoffel spectral matrix transformations of the orthogonality measure, and obtain some relations between the associated Hessenberg matrices.

Original language	English
Pages (from-to)	341-358
Number of pages	18
Journal	Mathematica Slovaca
Volume	71
Issue number	2
DOIs	https://doi.org/10.1515/ms-2017-0472
Publication status	Published - 1 Apr 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 Mathematical Institute Slovak Academy of Sciences 2021.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1515/ms-2017-0472

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Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle

Abstract

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