Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2022, Volume 25, Number 1, Pages 53–57
DOI: https://doi.org/10.15372/SJNM20220104 (Mi sjvm796) 		 
On matrices whose cosquares are diagonalizable and have real spectra

Kh. D. Ikramov

Lomonosov Moscow State University, Russia
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DOI: https://doi.org/10.15372/SJNM20220104
Abstract: It is shown that the algorithm for verifying congruence of square roots of Hermitian matrices proposed earlier by the author can be extended to the considerably more broad class of matrices whose cosquares are diagonalizable and have real spectra.
Key words: congruence, cosquare, rational algorithm, diagonalizability via similarity transformation.
Received: 26.05.2021
Revised: 16.07.2021
Accepted: 05.10.2021
Document Type: Article
UDC: 512.643
Language: Russian
Citation: Kh. D. Ikramov, “On matrices whose cosquares are diagonalizable and have real spectra”, Sib. Zh. Vychisl. Mat., 25:1 (2022), 53–57
Citation in format AMSBIB
\Bibitem{Ikr22}
\by Kh.~D.~Ikramov
\paper On matrices whose cosquares are diagonalizable and have real spectra
\jour Sib. Zh. Vychisl. Mat.
\yr 2022
\vol 25
\issue 1
\pages 53--57
\mathnet{http://mi.mathnet.ru/sjvm796}
\crossref{https://doi.org/10.15372/SJNM20220104}
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