Description of fast matrix multiplication algorithm: ⟨18×18×21:3760⟩

Algorithm type

256 X^{9} Y^{6} Z^{6} + 384 X^{9} Y^{6} Z^{3} + 384 X^{9} Y^{3} Z^{6} + 288 X^{6} Y^{6} Z^{4} + 576 X^{9} Y^{3} Z^{3} + 432 X^{6} Y^{6} Z^{2} + 288 X^{6} Y^{3} Z^{2} + 432 X^{6} Y^{3} Z + 288 X^{3} Y^{3} Z^{4} + 432 X^{3} Y^{3} Z^{2}

Algorithm definition

The algorithm ⟨18×18×21:3760⟩ is the (Kronecker) tensor product of ⟨3×6×3:40⟩ with ⟨6×3×7:94⟩.

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.

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