Loading [MathJax]/jax/output/SVG/config.js
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 6, Pages 891–895
DOI: https://doi.org/10.31857/S0044466923060091 (Mi zvmmf11563) 		 
General numerical methods

On a new type of unitoid matrices

Kh. D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow Lomonosov State University, Moscow, Russia
DOI: https://doi.org/10.31857/S0044466923060091
Abstract: The cosquare of a nonsingular complex matrix $A$ is defined as ${A^-}{}^{\mathrm T} A$ in theory of $T$-congruences and as $A^{-*}A$ in theory of Hermitian congruences. There is one more product of a similar kind, namely, $\bar A^{-1}A$. In this paper, we discuss the following question: Is it possible to interpret such a product as a cosquare within some theory of congruences? What is this theory and how does look its canonical form?
Key words: congruences, unitoid, cosquare, canonical form, canonical angles, coninvolution.
Received: 10.09.2022
Revised: 10.09.2022
Accepted: 03.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 6, Pages 929–933
DOI: https://doi.org/10.1134/S096554252306009X
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: Kh. D. Ikramov, “On a new type of unitoid matrices”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023), 891–895; Comput. Math. Math. Phys., 63:6 (2023), 929–933
Citation in format AMSBIB
\Bibitem{Ikr23}
\by Kh.~D.~Ikramov
\paper On a new type of unitoid matrices
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 6
\pages 891--895
\mathnet{http://mi.mathnet.ru/zvmmf11563}
\crossref{https://doi.org/10.31857/S0044466923060091}
\elib{https://elibrary.ru/item.asp?id=53836685}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 6
\pages 929--933
\crossref{https://doi.org/10.1134/S096554252306009X}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11563
  • https://www.mathnet.ru/eng/zvmmf/v63/i6/p891
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:124
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025