Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle-Reference-Cited by-同舟云学术

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

Published:2021-04-01 Issue:2 Volume:71 Page:341-358
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Fuentes Edinson¹,Garza Luis E.²

Affiliation:

1. Departamento de Matemáticas , Universidad Nacional de Colombia Ciudad Universitaria , Bogotá , Cundinamarca , Colombia

2. Facultad de Ciencias , Universidad de Colima Bernal Díaz , del Castillo No. 340 Colima , Colima , México

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0472/pdf

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