Description of fast matrix multiplication algorithm: ⟨4×18×18:840⟩

Algorithm type

9 X^{4} Y^{8} Z^{4} + 3 X^{4} Y^{8} Z^{2} + 3 X^{2} Y^{10} Z^{2} + 39 X^{4} Y^{4} Z^{4} + 42 X^{2} Y^{8} Z^{2} + 6 X Y^{10} Z + 6 X^{2} Y^{8} Z + 27 X^{2} Y^{6} Z^{2} + 48 X Y^{8} Z + 108 X^{2} Y^{4} Z^{2} + 54 X Y^{6} Z + 6 X^{2} Y^{4} Z + 6 X Y^{5} Z + 129 X^{2} Y^{2} Z^{2} + 72 X Y^{4} Z + 54 X Y^{3} Z + 126 X Y^{2} Z + 102 X Y Z

Algorithm definition

The algorithm ⟨4×18×18:840⟩ is the (Kronecker) tensor product of ⟨2×3×3:15⟩ with ⟨2×6×6:56⟩.

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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