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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}
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