Description of fast matrix multiplication algorithm: ⟨9×15×17:1440⟩

Algorithm type

144 X^{4} Y^{6} Z^{6} + 216 X^{2} Y^{6} Z^{6} + 32 X^{6} Y^{3} Z^{3} + 96 X^{2} Y^{6} Z^{3} + 96 X^{4} Y^{3} Z^{3} + 144 X Y^{6} Z^{3} + 48 X^{3} Y^{3} Z^{3} + 352 X^{2} Y^{3} Z^{3} + 312 X Y^{3} Z^{3}

Algorithm definition

The algorithm ⟨9×15×17:1440⟩ is the projection [[0, 0], [18]] of ⟨9×15×18:1440⟩.

Algorithm description

maple tensor 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