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 55–59 (Mi znsl3860)  
Unitary similarity of entrywise conjugate matrices and unitary decomplexification

Kh. D. Ikramov

Moscow State University, Moscow, Russia
Full-text PDF (127 kB)
References:
PDF
HTML
Abstract: Assume that a complex $n\times n$ matrix $A$ is unitarily similar to a real matrix. It is proved that in this case, $A$ is unitarily similar to its entrywise conjugate $\overline A$. An example showing that the reverse implication is in general false is constructed. Bibl. 1 title.
Key words and phrases: unitary similarity, decomplexification, reducibility, block quaternion.
Received: 21.01.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 1, Pages 29–31
DOI: https://doi.org/10.1007/s10958-011-0389-4
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: Kh. D. Ikramov, “Unitary similarity of entrywise conjugate matrices and unitary decomplexification”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 55–59; J. Math. Sci. (N. Y.), 176:1 (2011), 29–31
Citation in format AMSBIB
\Bibitem{Ikr10}
\by Kh.~D.~Ikramov
\paper Unitary similarity of entrywise conjugate matrices and unitary decomplexification
\inbook Computational methods and algorithms. Part~XXIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 382
\pages 55--59
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3860}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 1
\pages 29--31
\crossref{https://doi.org/10.1007/s10958-011-0389-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958254259}
Linking options:
  • https://www.mathnet.ru/eng/znsl3860
  • https://www.mathnet.ru/eng/znsl/v382/p55
    • 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:320
    Full-text PDF :82
    References:58
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024