Minimal rank completions for block matrices
type: Item
instance of: scholarly article
title: Minimal rank completions for block matrices
zbMATH Open document ID: 0681.15002
DOI: 10.1016/0024-3795(89)90695-2
published in: Linear Algebra and its Applications
publication date: 1989-01-01T00:00:00Z
review text: The following problem is discussed: Given the lower triangular part of a block matrix, characterize the set of all completions of this matrix such that the resulting matrix has a minimal rank. The structure of the set of such matrices is described and for the particular case of block Toeplitz matrices, the relationship to the partial realization problem is given.
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 4114801
zbMATH Keywords: block completion problem
zbMATH Keywords: block Hankel matrix
zbMATH Keywords: minimal rank
zbMATH Keywords: block Toeplitz matrices
zbMATH Keywords: partial realization problem
author: Hugo J. Woerdeman
reviewed by: Volker Mehrmann
MaRDI profile type: Publication
full work available at URL: 0024-3795(89)90695-2
OpenAlex ID: W2084563483
cites work: On parametrizations for the minimal partial realization problem
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cites work: Q3859649
cites work: Construction and classification of minimal representations of semi- separable kernels
cites work: The lower order of lower triangular operators and minimal rank extensions
description: scientific article; zbMATH DE number 4114801