Geodesic
Computation of the commutator of $2\times2$ matrices via five multiplications
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 201-205 Cet article a éte moissonné depuis la source Math-Net.Ru

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Algorithms for computing the commutator $AB$–$BA$ of $2\times2$ matrices $A$ and $B$ are proposed that involve five multiplications. 
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A. Ya. Belyankov. Computation of the commutator of $2\times2$ matrices via five multiplications. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 201-205. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a1/

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