A survey of the eigenstructure properties of finite Hermitian Toeplitz matrices
type: Item
instance of: scholarly article
title: A survey of the eigenstructure properties of finite Hermitian Toeplitz matrices
zbMATH Open document ID: 0658.47029
DOI: 10.1007/BF01195794
published in: Integral Equations and Operator Theory
publication date: 1987-01-01T00:00:00Z
review text: The survey contains a detailed analysis of the algebraic structure of the Toeplitz eigenspaces of the zero location properties of their related eigenpolynomials. The theory of pseudo-Caratheodory and pseudo-lossless functions of finite index is shown to provide a function theoretic interpretation of the eigenvalues and eigenvectors of a Hermitian Toeplitz matrix.
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 4075891
zbMATH Keywords: algebraic structure of the Toeplitz eigenspaces of the zero location properties of their related eigenpolynomials
zbMATH Keywords: pseudo-Caratheodory and pseudo-lossless functions of finite index
zbMATH Keywords: function theoretic interpretation of the eigenvalues and eigenvectors of a Hermitian Toeplitz matrix
author: Yves V. Genin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4075891