Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9
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A. Ya. Belyankov. Computation of the commutator of $2\times2$ matrices via six multiplications. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a0/
@article{ZVMMF_2007_47_9_a0,
author = {A. Ya. Belyankov},
title = {Computation of the commutator of $2\times2$ matrices via six multiplications},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1459},
year = {2007},
volume = {47},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a0/}
}
TY - JOUR
AU - A. Ya. Belyankov
TI - Computation of the commutator of $2\times2$ matrices via six multiplications
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2007
SP - 1459
VL - 47
IS - 9
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a0/
LA - ru
ID - ZVMMF_2007_47_9_a0
ER -
%0 Journal Article
%A A. Ya. Belyankov
%T Computation of the commutator of $2\times2$ matrices via six multiplications
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 1459
%V 47
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a0/
%G ru
%F ZVMMF_2007_47_9_a0
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.
