Description of fast matrix multiplication algorithm: ⟨8×14×14:1029⟩

Algorithm type

3 X^{8} Y^{8} Z^{8} + X^{8} Y^{4} Z^{8} + 2 X^{4} Y^{10} Z^{4} + 2 X^{6} Y^{4} Z^{6} + 4 X^{4} Y^{8} Z^{4} + 51 X^{4} Y^{4} Z^{4} + 10 X^{4} Y^{2} Z^{4} + 18 X^{2} Y^{6} Z^{2} + 12 X^{2} Y^{5} Z^{2} + 12 X^{3} Y^{2} Z^{3} + 40 X^{2} Y^{4} Z^{2} + 262 X^{2} Y^{2} Z^{2} + 24 X^{2} Y Z^{2} + 108 X Y^{3} Z + 96 X Y^{2} Z + 384 X Y Z

Algorithm definition

The algorithm ⟨8×14×14:1029⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×7×7:147⟩.

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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