Description of fast matrix multiplication algorithm: ⟨9×12×21:1400⟩

Algorithm type

112 X^{6} Y^{6} Z^{4} + 168 X^{6} Y^{6} Z^{2} + 64 X^{3} Y^{3} Z^{6} + 96 X^{3} Y^{3} Z^{4} + 96 X^{3} Y^{3} Z^{3} + 432 X^{3} Y^{3} Z^{2} + 432 X^{3} Y^{3} Z

Algorithm definition

The algorithm ⟨9×12×21:1400⟩ is the (Kronecker) tensor product of ⟨3×2×7:35⟩ with ⟨3×6×3:40⟩.

Algorithm description

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