Description of fast matrix multiplication algorithm: ⟨8×12×14:861⟩

Algorithm type

45 X^{4} Y^{4} Z^{4} + X^{6} Y^{2} Z^{2} + 2 X^{4} Y^{2} Z^{4} + X^{2} Y^{6} Z^{2} + 3 X^{2} Y^{4} Z^{4} + 10 X^{4} Y^{2} Z^{2} + 27 X^{2} Y^{4} Z^{2} + 12 X^{2} Y^{2} Z^{4} + 292 X^{2} Y^{2} Z^{2} + 6 X^{3} Y Z + 12 X^{2} Y Z^{2} + 6 X Y^{3} Z + 18 X Y^{2} Z^{2} + 60 X^{2} Y Z + 162 X Y^{2} Z + 72 X Y Z^{2} + 132 X Y Z

Algorithm definition

The algorithm ⟨8×12×14:861⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×6×7:123⟩.

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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