Geodesic
Functions Generating Normal Toeplitz Matrices
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 503-507

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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, Toeplitz matrix, Hermitian Toeplitz matrix
Mots-clés : normal matrix, circulant matrix. 
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     author = {N. L. Zamarashkin and E. E. Tyrtyshnikov and V. N. Chugunov},
     title = {Functions {Generating} {Normal} {Toeplitz} {Matrices}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {503--507},
     publisher = {mathdoc},
     volume = {89},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a2/}
}
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N. L. Zamarashkin; E. E. Tyrtyshnikov; V. N. Chugunov. Functions Generating Normal Toeplitz Matrices. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 503-507. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a2/