On a class of block Toeplitz matrices
type: Item
instance of: scholarly article
title: On a class of block Toeplitz matrices
zbMATH Open document ID: 0860.15025
DOI: 10.1016/0024-3795(95)00260-X
author: Robert L. Ellis
author: David C. Lay
author: I. Gohberg
published in: Linear Algebra and its Applications
publication date: 1996-10-07T00:00:00Z
review text: The authors consider matrices that are the sum of an identity matrix and a self-adjoint block Toeplitz matrix that has a symmetric band of zero blocks. Such matrices arise in the problem of orthogonalizing certain matrix-valued functions on the unit circle. A number of general results for block Toeplitz matrices are specialized to this class of matrices.
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 931890
zbMATH Keywords: self-adjoint block Toeplitz matrix
zbMATH Keywords: symmetric band of zero blocks
zbMATH Keywords: matrix-valued functions
reviewed by: Rabe von Randow
MaRDI profile type: Publication
cites work: Q5618011
cites work: Orthogonal systems related to infinite Hankel matrices
cites work: Infinite analogues of block Toeplitz matrices and related orthogonal functions
cites work: Classes of linear operators. Vol. I
cites work: Q3812812
cites work: Q5673138
description: scientific article; zbMATH DE number 931890