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 journalArticlepeer-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 languageEnglish
Pages (from-to)341-358
Number of pages18
JournalMathematica Slovaca
Volume71
Issue number2
DOIs
Publication statusPublished - 1 Apr 2021
Externally publishedYes

Bibliographical note

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

All Science Journal Classification (ASJC) codes

  • General Mathematics

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