Description of fast matrix multiplication algorithm: ⟨3×8×9:165⟩

Algorithm type

48 X^{3} Y^{3} Z^{2} + 72 X^{3} Y^{3} Z + 9 X^{2} Y^{2} Z^{2} + 18 X Y Z^{2} + 18 X Y Z

Algorithm definition

The algorithm ⟨3×8×9:165⟩ is the (Kronecker) tensor product of ⟨1×1×3:3⟩ with ⟨3×8×3:55⟩.

Algorithm description

maple tensor 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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