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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 9, Page 1459 (Mi zvmmf240)  
Computation of the commutator of $2\times2$ matrices via six multiplications

A. Ya. Belyankov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
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Abstract: An algorithm for computing the commutator $AB-BA$ of $2\times2$ matrices $A$ and $B$ is proposed. The algorithm involves six multiplications. In the case of Hermitian $2\times2$ matrices, it involves six real multiplications.
Key words: computational complexity, commutator of $2\times2$ matrices, computing algorithm.
Received: 07.03.2007
Revised: 05.04.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 9, Pages 1401
DOI: https://doi.org/10.1134/S0965542507090011
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: A. Ya. Belyankov, “Computation of the commutator of $2\times2$ matrices via six multiplications”, Zh. Vychisl. Mat. Mat. Fiz., 47:9 (2007), 1459; Comput. Math. Math. Phys., 47:9 (2007), 1401
Citation in format AMSBIB
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\by A.~Ya.~Belyankov
\paper Computation of the commutator of $2\times2$ matrices via six multiplications
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 9
\pages 1459
\mathnet{http://mi.mathnet.ru/zvmmf240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2387654}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 9
\pages 1401
\crossref{https://doi.org/10.1134/S0965542507090011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848897480}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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