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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 10, Pages 1615–1619
DOI: https://doi.org/10.31857/S0044466922100064 (Mi zvmmf11455) 		 
This article is cited in 1 scientific paper (total in 1 paper)

General numerical methods

Canonical angles of normal matrices and theorems of the Wielandt–Hoffman and J.-g. Sun type

S. D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466922100064
Abstract: The Wielandt–Hoffman and J.-g. Sun theorems estimate the magnitude of perturbations in the eigenvalues of a normal matrix caused by perturbations of its entries. In the theory of congruence transformations, unitoid matrices and their canonical angles play, to a certain extent, the role of diagonalizable matrices and their eigenvalues. In particular, normal matrices are unitoid. This paper discusses analogs of the Wielandt–Hoffman and Sun theorems relating to canonical angles.
Key words: congruence, cosquare, unitoid, canonical angles, convergent matrix.
Received: 23.10.2021
Revised: 05.04.2022
Accepted: 08.06.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 64, Issue 10, Pages 1586–1589
DOI: https://doi.org/10.1134/S0965542522100062
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: S. D. Ikramov, “Canonical angles of normal matrices and theorems of the Wielandt–Hoffman and J.-g. Sun type”, Zh. Vychisl. Mat. Mat. Fiz., 62:10 (2022), 1615–1619; Comput. Math. Math. Phys., 64:10 (2022), 1586–1589
Citation in format AMSBIB
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\by S.~D.~Ikramov
\paper Canonical angles of normal matrices and theorems of the Wielandt--Hoffman and J.-g. Sun type
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 10
\pages 1615--1619
\mathnet{http://mi.mathnet.ru/zvmmf11455}
\crossref{https://doi.org/10.31857/S0044466922100064}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4499878}
\elib{https://elibrary.ru/item.asp?id=49344324}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 64
\issue 10
\pages 1586--1589
\crossref{https://doi.org/10.1134/S0965542522100062}
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  • https://www.mathnet.ru/eng/zvmmf/v62/i10/p1615
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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