Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{ZamTyrChu11}
\by N.~L.~Zamarashkin, E.~E.~Tyrtyshnikov, V.~N.~Chugunov
\paper Functions Generating Normal Toeplitz Matrices
\jour Mat. Zametki
\yr 2011
\vol 89
\issue 4
\pages 503--507
\mathnet{http://mi.mathnet.ru/mzm8583}
\crossref{https://doi.org/10.4213/mzm8583}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2856742}
\transl
\jour Math. Notes
\yr 2011
\vol 89
\issue 4
\pages 480--483
\crossref{https://doi.org/10.1134/S0001434611030199}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000290038700019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79955626287}
Linking options:
  • https://www.mathnet.ru/eng/mzm8583
  • https://doi.org/10.4213/mzm8583
  • https://www.mathnet.ru/eng/mzm/v89/i4/p503
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024