Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2010, Volume 382, Pages 71–81 (Mi znsl3862)  
This article is cited in 2 scientific papers (total in 2 papers)

A characterization of Toeplitz and Hankel circulants

Kh. D. Ikramova, V. N. Chugunovb

a Moscow State University, Moscow, Russia
b Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (174 kB) Citations (2)
References:
PDF
HTML
Abstract: A number of propositions of the following type is proved: A Toeplitz matrix $T$ is a circulant if and only if $T$ has an eigenvector $e$ with all the components equal to one. These propositions characterize the circulants (and, more generally, the $\phi$-circulants), as well as their Hankel counterparts, in the sets of all Toeplitz and Hankel matrices, respectively. Bibl. 2 titles.
Key words and phrases: Toeplitz matrix, Hankel matrix, circulant, Hankel circulant, $\phi$-circulant.
Received: 19.01.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 1, Pages 38–43
DOI: https://doi.org/10.1007/s10958-011-0391-x
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: Kh. D. Ikramov, V. N. Chugunov, “A characterization of Toeplitz and Hankel circulants”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 71–81; J. Math. Sci. (N. Y.), 176:1 (2011), 38–43
Citation in format AMSBIB
\Bibitem{IkrChu10}
\by Kh.~D.~Ikramov, V.~N.~Chugunov
\paper A characterization of Toeplitz and Hankel circulants
\inbook Computational methods and algorithms. Part~XXIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 382
\pages 71--81
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3862}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 1
\pages 38--43
\crossref{https://doi.org/10.1007/s10958-011-0391-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958267592}
Linking options:
  • https://www.mathnet.ru/eng/znsl3862
  • https://www.mathnet.ru/eng/znsl/v382/p71
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:290
    Full-text PDF :96
    References:66
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024