Description of fast matrix multiplication algorithm: ⟨2×2×2:7⟩

Algorithm type

X^{2} Y^{2} Z^{2} + 6 X Y Z

Algorithm definition

The algorithm ⟨2×2×2:7⟩ is taken from:

Volker Strassen. Gaussian elimination is not optimal. Numerische Mathematik, 13(4):354--356, August 1969. [DOI]

Algorithm description

maple tensor representation (compressed by bzip2);
maple evaluation scheme (compressed by bzip2).

Algorithm symmetries

The following group of 36 isotropies acts as a permutation group on algorithm tensor representation:

maple tensor representation (compressed by bzip2);

These encodings are given in compressed text format using the maple computer algebra system. In each cases, the last line could be understood as a description of the encoding with respect to classical matrix multiplication algorithm. As these outputs are structured, one can construct easily a parser to its favorite format using the maple documentation without this software.

Back to main table