Normal Toeplitz matrices

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

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


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 languageEnglish
Pages (from-to)1037-1043
Number of pages7
JournalSIAM Journal on Matrix Analysis and Applications
Issue number4
StatePublished - Oct 1996


  • Circulant matrix
  • Normal matrix
  • Toeplitz matrix


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