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 ×
- 2 matrices;
- computing algorithm