Description of fast matrix multiplication algorithm: ⟨3×8×15:270⟩

Algorithm type

3 X^{3} Y Z^{3} + 9 X^{2} Y^{3} Z^{2} + 3 X^{3} Y^{2} Z + 81 X^{2} Y^{2} Z^{2} + 30 X^{3} Y Z + 21 X^{2} Y^{2} Z + 15 X Y^{3} Z + 3 X Y Z^{3} + 42 X^{2} Y Z + 48 X Y^{2} Z + 3 X Y Z^{2} + 12 X Y Z

Algorithm definition

The algorithm ⟨3×8×15:270⟩ is the (Kronecker) tensor product of ⟨1×1×3:3⟩ with ⟨3×8×5:90⟩.

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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