A Normal Form for Matrix Multiplication Schemes

Abstract

For various 2 ≤ n, m ≤ 6, we propose some new algorithms for multiplying an n × m matrix with an m × 6 matrix over a possibly noncommutative coefficient ring.MANUEL KAUERS AND JAKOB MOOSBAUER matrix multiplication tensor for (n, m, k) = (2, 2, 2) can be written as a