Normal Toeplitz matrices

Douglas R. Farenick; Mark Krupnik; Naum Krupnik; Woo Young Lee

doi:10.1137/s0895479895287080

Normal Toeplitz matrices

Douglas R. Farenick, Mark Krupnik, Naum Krupnik, Woo Young Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

It is well known from the work of Brown and Halmos [J. Reine Angew. Math., 213 (1963/1964), pp. 89-102] that an infinite Toeplitz matrix is normal if and only if it is a rotation and translation of a Hermitian Toeplitz matrix. In the present article we prove that all finite normal Toeplitz matrices are either generalised circulants or are obtained from Hermitian Toeplitz matrices by rotation and translation.

Original language	English
Pages (from-to)	1037-1043
Number of pages	7
Journal	SIAM Journal on Matrix Analysis and Applications
Volume	17
Issue number	4
DOIs	https://doi.org/10.1137/s0895479895287080
State	Published - Oct 1996

Keywords

Circulant matrix
Normal matrix
Toeplitz matrix

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AU - Lee, Woo Young

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KW - Circulant matrix

KW - Normal matrix

KW - Toeplitz matrix

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Normal Toeplitz matrices

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Keywords

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