Computation of the commutator of 2 × 2 matrices via six multiplications
Abstract
An algorithm for computing the commutator AB  BA of 2 × 2 matrices A and B is proposed. The algorithm involves six multiplications. In the case of Hermitian 2 × 2 matrices, it involves six real multiplications.
 Publication:

Computational Mathematics and Mathematical Physics
 Pub Date:
 September 2007
 DOI:
 10.1134/S0965542507090011
 Bibcode:
 2007CMMPh..47.1401B
 Keywords:

 computational complexity;
 commutator of 2 &times;
 2 matrices;
 computing algorithm