Description of fast matrix multiplication algorithm: ⟨18×21×24:4920⟩

Algorithm type

720 X^{4} Y^{6} Z^{6} + 1112 X^{2} Y^{6} Z^{6} + 16 X^{2} Y^{3} Z^{9} + 48 X^{4} Y^{6} Z^{3} + 48 X Y^{6} Z^{6} + 24 X Y^{3} Z^{9} + 16 X^{6} Y^{3} Z^{3} + 264 X^{2} Y^{6} Z^{3} + 160 X^{2} Y^{3} Z^{6} + 432 X^{4} Y^{3} Z^{3} + 288 X Y^{6} Z^{3} + 240 X Y^{3} Z^{6} + 24 X^{3} Y^{3} Z^{3} + 1000 X^{2} Y^{3} Z^{3} + 528 X Y^{3} Z^{3}

Algorithm definition

The algorithm ⟨18×21×24:4920⟩ is the (Kronecker) tensor product of ⟨3×3×6:40⟩ with ⟨6×7×4:123⟩.

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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