Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle
type: Item
instance of: scholarly article
title: Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle
zbMATH Open document ID: 1487.33009
author: Edinson Fuentes
author: Luis E. Garza
published in: Mathematica Slovaca
publication date: 2021-12-03T00:00:00Z
review text: First the authors recall the theory of matrix orthogonal polynomials on the unit circle, their recurrence relations, reproducing kernels, and the relation to unitary block Hessenberg matrices. Then the spectral transformations (Uvarov, Christoffel) known for the scalar case from e.g. [\textit{K. Castillo} et al., Suppl. Rend. Circ. Mat. Palermo (2) 82, 3--26 (2010; Zbl 1470.42050)] are also generalized to the block case.
reviewed by: Adhemar Bultheel
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33D45
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 7438346
zbMATH Keywords: block Hessenberg matrices
zbMATH Keywords: matrix orthogonal polynomials on unit circle
zbMATH Keywords: spectral transformations
MaRDI profile type: Publication
full work available at URL: ms-2017-0472
OpenAlex ID: W3161406723
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DOI: 10.1515/MS-2017-0472
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description: scientific article; zbMATH DE number 7438346