Description of fast matrix multiplication algorithm: ⟨20×22×28:6867⟩

Algorithm type

X^{12} Y^{6} Z^{8} + 40 X^{8} Y^{8} Z^{8} + 11 X^{8} Y^{6} Z^{8} + 2 X^{12} Y^{4} Z^{4} + 2 X^{8} Y^{8} Z^{4} + X^{8} Y^{4} Z^{8} + 8 X^{6} Y^{6} Z^{8} + 15 X^{8} Y^{4} Z^{4} + 19 X^{4} Y^{8} Z^{4} + 18 X^{4} Y^{4} Z^{8} + X^{8} Y^{2} Z^{4} + 6 X^{6} Y^{4} Z^{4} + 6 X^{4} Y^{6} Z^{4} + 2 X^{4} Y^{2} Z^{8} + 6 X^{6} Y^{3} Z^{4} + 575 X^{4} Y^{4} Z^{4} + 2 X^{2} Y^{6} Z^{4} + 66 X^{4} Y^{3} Z^{4} + 27 X^{6} Y^{2} Z^{2} + 18 X^{4} Y^{4} Z^{2} + 17 X^{4} Y^{2} Z^{4} + 48 X^{3} Y^{3} Z^{4} + 3 X^{2} Y^{2} Z^{6} + 165 X^{4} Y^{2} Z^{2} + 255 X^{2} Y^{4} Z^{2} + 225 X^{2} Y^{2} Z^{4} + 6 X^{4} Y Z^{2} + 36 X^{3} Y^{2} Z^{2} + 36 X^{2} Y^{3} Z^{2} + 12 X^{2} Y Z^{4} + 2154 X^{2} Y^{2} Z^{2} + 12 X Y^{3} Z^{2} + 90 X^{3} Y Z + 36 X^{2} Y^{2} Z + 66 X^{2} Y Z^{2} + 18 X Y Z^{3} + 450 X^{2} Y Z + 846 X Y^{2} Z + 702 X Y Z^{2} + 864 X Y Z

Algorithm definition

The algorithm ⟨20×22×28:6867⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨10×11×14:981⟩.

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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