Description of fast matrix multiplication algorithm: ⟨10×16×28:2814⟩

Algorithm type

X^{8} Y^{12} Z^{8} + X^{8} Y^{12} Z^{6} + 5 X^{8} Y^{8} Z^{8} + X^{6} Y^{8} Z^{10} + X^{4} Y^{16} Z^{4} + 2 X^{8} Y^{8} Z^{6} + 8 X^{6} Y^{8} Z^{6} + 4 X^{4} Y^{12} Z^{4} + 9 X^{4} Y^{8} Z^{4} + X^{4} Y^{8} Z^{2} + 12 X^{4} Y^{6} Z^{4} + 6 X^{4} Y^{4} Z^{6} + 3 X^{2} Y^{8} Z^{4} + 6 X^{4} Y^{6} Z^{3} + 122 X^{4} Y^{4} Z^{4} + 6 X^{3} Y^{4} Z^{5} + 10 X^{2} Y^{8} Z^{2} + X^{2} Y^{4} Z^{6} + 12 X^{4} Y^{4} Z^{3} + 4 X^{4} Y^{4} Z^{2} + 48 X^{3} Y^{4} Z^{3} + 54 X^{2} Y^{6} Z^{2} + 124 X^{2} Y^{4} Z^{2} + 12 X^{2} Y^{2} Z^{4} + 6 X^{2} Y^{4} Z + 36 X^{2} Y^{3} Z^{2} + 36 X^{2} Y^{2} Z^{3} + 18 X Y^{4} Z^{2} + 693 X^{2} Y^{2} Z^{2} + 24 X Y^{4} Z + 6 X Y^{2} Z^{3} + 24 X^{2} Y^{2} Z + 180 X Y^{3} Z + 420 X Y^{2} Z + 72 X Y Z^{2} + 846 X Y Z

Algorithm definition

The algorithm ⟨10×16×28:2814⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨5×8×14:402⟩.

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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