Description of fast matrix multiplication algorithm: ⟨4×4×18:208⟩

Algorithm type

8 X^{3} Y^{4} Z^{3} + 64 X^{2} Y^{2} Z^{2} + 8 X Y^{4} Z + 128 X Y Z

Algorithm definition

The algorithm ⟨4×4×18:208⟩ is the (Kronecker) tensor product of ⟨4×4×9:104⟩ with ⟨1×1×2:2⟩.

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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