Description of fast matrix multiplication algorithm: ⟨4×10×18:500⟩

Algorithm type

12 X^{4} Y^{4} Z^{4} + 12 X^{4} Y^{3} Z^{4} + 18 X^{2} Y^{5} Z^{2} + 2 X Y^{7} Z + 46 X^{2} Y^{4} Z^{2} + 6 X Y^{6} Z + 48 X^{2} Y^{3} Z^{2} + 24 X Y^{5} Z + 48 X^{2} Y^{2} Z^{2} + 32 X Y^{4} Z + 14 X^{2} Y Z^{2} + 96 X Y^{3} Z + 94 X Y^{2} Z + 48 X Y Z

Algorithm definition

The algorithm ⟨4×10×18:500⟩ is the (Kronecker) tensor product of ⟨4×10×9:250⟩ with ⟨1×1×2:2⟩.

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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