Description of fast matrix multiplication algorithm: ⟨8×22×30:3143⟩

Algorithm type

X^{8} Y^{12} Z^{8} + 5 X^{8} Y^{10} Z^{8} + 11 X^{8} Y^{8} Z^{8} + 16 X^{4} Y^{14} Z^{4} + 18 X^{4} Y^{12} Z^{4} + 32 X^{4} Y^{10} Z^{4} + X^{4} Y^{6} Z^{8} + 16 X^{2} Y^{14} Z^{2} + 32 X^{4} Y^{8} Z^{4} + 20 X^{2} Y^{12} Z^{2} + X^{2} Y^{10} Z^{4} + 36 X^{4} Y^{6} Z^{4} + 34 X^{2} Y^{10} Z^{2} + 30 X^{4} Y^{5} Z^{4} + 97 X^{4} Y^{4} Z^{4} + 20 X^{2} Y^{8} Z^{2} + 2 X^{2} Y^{6} Z^{4} + 96 X^{2} Y^{7} Z^{2} + 210 X^{2} Y^{6} Z^{2} + 2 X^{2} Y^{4} Z^{4} + 192 X^{2} Y^{5} Z^{2} + 6 X^{2} Y^{3} Z^{4} + 96 X Y^{7} Z + 239 X^{2} Y^{4} Z^{2} + X^{2} Y^{2} Z^{4} + 120 X Y^{6} Z + 6 X Y^{5} Z^{2} + 180 X^{2} Y^{3} Z^{2} + 204 X Y^{5} Z + 213 X^{2} Y^{2} Z^{2} + 120 X Y^{4} Z + 12 X Y^{3} Z^{2} + 612 X Y^{3} Z + 12 X Y^{2} Z^{2} + 282 X Y^{2} Z + 6 X Y Z^{2} + 162 X Y Z

Algorithm definition

The algorithm ⟨8×22×30:3143⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×11×15:449⟩.

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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