Description of fast matrix multiplication algorithm: ⟨6×9×12:435⟩

Algorithm type

21 X^{4} Y^{4} Z^{4} + 3 X^{6} Y^{2} Z^{2} + 6 X^{2} Y^{6} Z^{2} + 6 X^{2} Y^{4} Z^{4} + 6 X^{2} Y^{2} Z^{6} + 54 X^{2} Y^{4} Z^{2} + 12 X^{2} Y^{2} Z^{4} + 12 X Y^{6} Z + 12 X Y^{4} Z^{2} + 6 X^{3} Y^{2} Z + 63 X^{2} Y^{2} Z^{2} + 24 X Y^{4} Z + 12 X Y^{2} Z^{3} + 6 X^{3} Y Z + 12 X Y^{3} Z + 36 X Y^{2} Z^{2} + 12 X Y Z^{3} + 66 X Y^{2} Z + 24 X Y Z^{2} + 42 X Y Z

Algorithm definition

The algorithm ⟨6×9×12:435⟩ is the (Kronecker) tensor product of ⟨2×3×3:15⟩ with ⟨3×3×4:29⟩.

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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