Description of fast matrix multiplication algorithm: ⟨8×28×30:3899⟩

Algorithm type

16 X^{8} Y^{16} Z^{8} + 16 X^{8} Y^{12} Z^{8} + 17 X^{4} Y^{20} Z^{4} + 32 X^{4} Y^{16} Z^{4} + 18 X^{2} Y^{20} Z^{2} + X^{4} Y^{14} Z^{4} + 37 X^{4} Y^{12} Z^{4} + 18 X^{2} Y^{16} Z^{2} + 4 X^{4} Y^{10} Z^{4} + 5 X^{2} Y^{14} Z^{2} + 126 X^{4} Y^{8} Z^{4} + 21 X^{2} Y^{12} Z^{2} + 125 X^{4} Y^{6} Z^{4} + 117 X^{2} Y^{10} Z^{2} + 49 X^{4} Y^{4} Z^{4} + 224 X^{2} Y^{8} Z^{2} + 108 X Y^{10} Z + 6 X^{2} Y^{7} Z^{2} + 8 X^{4} Y^{2} Z^{4} + 292 X^{2} Y^{6} Z^{2} + 108 X Y^{8} Z + 24 X^{2} Y^{5} Z^{2} + 30 X Y^{7} Z + 259 X^{2} Y^{4} Z^{2} + 126 X Y^{6} Z + 174 X^{2} Y^{3} Z^{2} + 90 X Y^{5} Z + 354 X^{2} Y^{2} Z^{2} + 192 X Y^{4} Z + 48 X^{2} Y Z^{2} + 420 X Y^{3} Z + 474 X Y^{2} Z + 360 X Y Z

Algorithm definition

The algorithm ⟨8×28×30:3899⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×14×15:557⟩.

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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