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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 2, Pages 201–205 (Mi zvmmf176)  
Computation of the commutator of $2\times2$ matrices via five multiplications

A. Ya. Belyankov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
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Abstract: Algorithms for computing the commutator $AB$–$BA$ of $2\times2$ matrices $A$ and $B$ are proposed that involve five multiplications.
Key words: computational complexity, commutator of $2\times2$ matrices, computing algorithm.
Received: 31.07.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 2, Pages 190–194
DOI: https://doi.org/10.1007/s11470-008-2002-6
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: A. Ya. Belyankov, “Computation of the commutator of $2\times2$ matrices via five multiplications”, Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008), 201–205; Comput. Math. Math. Phys., 48:2 (2008), 190–194
Citation in format AMSBIB
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