Description of fast matrix multiplication algorithm: ⟨8×15×21:1560⟩

Algorithm type

108 X^{4} Y^{4} Z^{4} + 6 X^{2} Y^{4} Z^{4} + 24 X^{4} Y^{2} Z^{2} + 276 X^{2} Y^{4} Z^{2} + 48 X^{2} Y^{2} Z^{4} + 12 X Y^{4} Z^{2} + 282 X^{2} Y^{2} Z^{2} + 120 X Y^{4} Z + 48 X^{2} Y^{2} Z + 108 X Y^{2} Z^{2} + 48 X^{2} Y Z + 252 X Y^{2} Z + 96 X Y Z^{2} + 132 X Y Z

Algorithm definition

The algorithm ⟨8×15×21:1560⟩ is the (Kronecker) tensor product of ⟨2×3×3:15⟩ with ⟨4×5×7:104⟩.

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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