Description of fast matrix multiplication algorithm: ⟨6×8×12:378⟩

Algorithm type

18 X^{4} Y^{4} Z^{4} + 18 X^{2} Y^{4} Z^{2} + 18 X^{2} Y^{2} Z^{4} + 108 X^{2} Y^{2} Z^{2} + 108 X Y^{2} Z + 108 X Y Z^{2}

Algorithm definition

The algorithm ⟨6×8×12:378⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨3×4×6:54⟩.

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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