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Matematicheskie Zametki, 2011, Volume 89, Issue 4, Pages 503–507
DOI: https://doi.org/10.4213/mzm8583 (Mi mzm8583) 		 
This article is cited in 1 scientific paper (total 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
Full-text PDF (421 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8583
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.
Received: 17.11.2009
Revised: 08.04.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 4, Pages 480–483
DOI: https://doi.org/10.1134/S0001434611030199
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: N. L. Zamarashkin, E. E. Tyrtyshnikov, V. N. Chugunov, “Functions Generating Normal Toeplitz Matrices”, Mat. Zametki, 89:4 (2011), 503–507; Math. Notes, 89:4 (2011), 480–483
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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