Description of fast matrix multiplication algorithm: ⟨4×15×21:840⟩

Algorithm type

12 X^{4} Y^{6} Z^{4} + 30 X^{4} Y^{4} Z^{4} + 15 X^{2} Y^{8} Z^{2} + 57 X^{2} Y^{6} Z^{2} + 30 X Y^{8} Z + 81 X^{2} Y^{4} Z^{2} + 66 X Y^{6} Z + 24 X^{2} Y^{3} Z^{2} + 117 X^{2} Y^{2} Z^{2} + 72 X Y^{4} Z + 66 X Y^{3} Z + 156 X Y^{2} Z + 114 X Y Z

Algorithm definition

The algorithm ⟨4×15×21:840⟩ is the (Kronecker) tensor product of ⟨2×3×3:15⟩ with ⟨2×5×7:56⟩.

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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