On analytic factorization of positive Hermitian matrix functions over the bidisc
type: Item
instance of: scholarly article
title: On analytic factorization of positive Hermitian matrix functions over the bidisc
zbMATH Open document ID: 0935.15014
DOI: 10.1016/S0024-3795(99)00111-1
author: Gordon Blower
published in: Linear Algebra and its Applications
publication date: 1999-11-29T00:00:00Z
review text: The author shows that a continuous and strictly positive Hermitian matrix valued function of the bitorus may be factored as \(FF^\star,\) where \(F\) is an \((N\times\infty)\) analytic operator function. The paper also contains results for similar more general situations. This provides an operator-theoretic approach to results of \textit{T. L. Marzetta} [IEEE Trans. Acoust. Speech Signal Processing 28, 725-733 (1980; MR 82a:94022)].
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 46G20
Mathematics Subject Classification ID: 47N30
zbMATH DE Number: 1371411
zbMATH Keywords: matrix factorization
zbMATH Keywords: linear prediction
zbMATH Keywords: analytic operator functions
zbMATH Keywords: positive Hermitian matrix valued function
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
Wikidata QID: Q127349836
description: scientific article; zbMATH DE number 1371411