Description of fast matrix multiplication algorithm: ⟨3×8×19:342⟩

Algorithm type

12 X^{2} Y^{3} Z^{2} + 102 X^{2} Y^{2} Z^{2} + 4 X Y^{4} Z + 12 X^{2} Y Z^{2} + 24 X Y^{3} Z + 96 X Y^{2} Z + 72 X Y Z^{2} + 20 X Y Z

Algorithm definition

The algorithm ⟨3×8×19:342⟩ is the (Kronecker) tensor product of ⟨1×2×1:2⟩ with ⟨3×4×19:171⟩.

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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