Description of fast matrix multiplication algorithm: ⟨14×14×16:1953⟩

Algorithm type

X^{14} Y^{14} Z^{14} + 3 X^{8} Y^{8} Z^{8} + 2 X^{8} Y^{8} Z^{6} + 2 X^{8} Y^{6} Z^{8} + 2 X^{6} Y^{8} Z^{8} + 6 X^{7} Y^{7} Z^{7} + 2 X^{6} Y^{8} Z^{6} + 2 X^{6} Y^{6} Z^{8} + 100 X^{4} Y^{4} Z^{4} + 12 X^{4} Y^{4} Z^{3} + 12 X^{4} Y^{3} Z^{4} + 12 X^{3} Y^{4} Z^{4} + 13 X^{6} Y^{2} Z^{2} + 7 X^{4} Y^{4} Z^{2} + 7 X^{4} Y^{2} Z^{4} + 12 X^{3} Y^{4} Z^{3} + 12 X^{3} Y^{3} Z^{4} + 12 X^{2} Y^{6} Z^{2} + 15 X^{2} Y^{4} Z^{4} + 12 X^{2} Y^{2} Z^{6} + 4 X^{4} Y^{2} Z^{2} + 29 X^{2} Y^{4} Z^{2} + 29 X^{2} Y^{2} Z^{4} + 547 X^{2} Y^{2} Z^{2} + 78 X^{3} Y Z + 42 X^{2} Y^{2} Z + 42 X^{2} Y Z^{2} + 72 X Y^{3} Z + 90 X Y^{2} Z^{2} + 72 X Y Z^{3} + 24 X^{2} Y Z + 174 X Y^{2} Z + 174 X Y Z^{2} + 330 X Y Z

Algorithm definition

The algorithm ⟨14×14×16:1953⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨7×7×8:279⟩.

Algorithm description

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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