This article is cited in 1 paper

Functions Generating Normal Toeplitz Matrices

N. L. Zamarashkin, E. E. Tyrtyshnikov, V. N. Chugunov

Institute of Numerical Mathematics, Russian Academy of Sciences

Abstract: To any complex function there corresponds a Fourier series, which is often associated with a sequence $\{T_n\}$ of Toeplitz $n\times n$ matrices. Functions whose Fourier series generate sequences of normal Toeplitz matrices are classified, and a procedure for constructing Fourier series for which the sequence $\{T_n\}$ contains an infinite subsequence of normal matrices is described.

Keywords: complex Fourier series, normal matrix, Toeplitz matrix, Hermitian Toeplitz matrix, circulant matrix.

UDC: 512

Received: 17.11.2009
Revised: 08.04.2010

DOI: 10.4213/mzm8583

 English version: Mathematical Notes, 2011, 89:4, 480–483

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