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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 3, Pages 403–406 (Mi zvmmf4838)  
This article is cited in 2 scientific papers (total in 2 papers)

On a constructive procedure for verifying whether a matrix can be made real by a unitary similarity transformation

Kh. D. Ikramov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992 Russia
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Abstract: There are well-known conditions under which a complex $n\times n$ matrix $A$ can be made real by a similarity transformation. Under the additional assumption that $A$ has a simple real spectrum, a constructive answer is given to the question whether this transformation can be realized via a unitary rather than arbitrary similarity.
Key words: unitary similarity transformation, Takagi’s theorem, Specht’s criterion, Danilevskii method.
Received: 03.08.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 3, Pages 383–386
DOI: https://doi.org/10.1134/S0965542510030012
Bibliographic databases:
Document Type: Article
UDC: 519.613
Language: Russian
Citation: Kh. D. Ikramov, “On a constructive procedure for verifying whether a matrix can be made real by a unitary similarity transformation”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 403–406; Comput. Math. Math. Phys., 50:3 (2010), 383–386
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    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
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