Commutation criterion for Toeplitz matrices
type: Item
instance of: scholarly article
title: Commutation criterion for Toeplitz matrices
zbMATH Open document ID: 0949.15018
author: V. I. Gel'fgat
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-02T00:00:00Z
review text: The commutation criterion for two arbitrary real or complex matrices is considered. For the narrower class of Toeplitz matrices, this criterion can be stated in another form that admits efficient checking. It is proved that two Toeplitz matrices commute if and only if one of the matrices is the value of a linear function of the other one or both matrices belong to the same algebra of generalized circulant matrices.
Mathematics Subject Classification ID: 15A27
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 47A56
zbMATH DE Number: 1467848
zbMATH Keywords: Toeplitz matrices
zbMATH Keywords: commutation criterion
zbMATH Keywords: linear function
zbMATH Keywords: circulant matrices
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1467848