Description of fast matrix multiplication algorithm: ⟨9×15×18:1440⟩

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 ⟨9×15×18:1440⟩ is the (Kronecker) tensor product of ⟨3×3×6:40⟩ with ⟨3×5×3:36⟩.

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.

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