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JOURNALS
// Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
// Archive
Zh. Vychisl. Mat. Mat. Fiz.,
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
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.
UDC:
519.61
Received:
31.07.2007
Fulltext:
PDF file (638 kB)
References
English version:
Computational Mathematics and Mathematical Physics, 2008,
48
:2,
190–194
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2026
Fulltext:
PDF file (638 kB)