Description of fast matrix multiplication algorithm: ⟨8×30×30:4172⟩

Algorithm type

16 X^{8} Y^{16} Z^{8} + 16 X^{8} Y^{14} Z^{8} + 17 X^{4} Y^{18} Z^{4} + 16 X^{4} Y^{16} Z^{4} + 18 X^{4} Y^{14} Z^{4} + 19 X^{2} Y^{18} Z^{2} + 25 X^{4} Y^{12} Z^{4} + 3 X^{2} Y^{16} Z^{2} + 20 X^{4} Y^{10} Z^{4} + 13 X^{2} Y^{14} Z^{2} + 124 X^{4} Y^{8} Z^{4} + 37 X^{2} Y^{12} Z^{2} + 96 X^{4} Y^{7} Z^{4} + 47 X^{4} Y^{6} Z^{4} + 24 X^{2} Y^{10} Z^{2} + 102 X^{2} Y^{9} Z^{2} + 45 X^{4} Y^{4} Z^{4} + 129 X^{2} Y^{8} Z^{2} + 108 X^{2} Y^{7} Z^{2} + 114 X Y^{9} Z + 2 X^{4} Y^{2} Z^{4} + 254 X^{2} Y^{6} Z^{2} + 18 X Y^{8} Z + 120 X^{2} Y^{5} Z^{2} + 78 X Y^{7} Z + 225 X^{2} Y^{4} Z^{2} + 222 X Y^{6} Z + 282 X^{2} Y^{3} Z^{2} + 144 X Y^{5} Z + 326 X^{2} Y^{2} Z^{2} + 198 X Y^{4} Z + 12 X^{2} Y Z^{2} + 624 X Y^{3} Z + 342 X Y^{2} Z + 336 X Y Z

Algorithm definition

The algorithm ⟨8×30×30:4172⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×15×15:596⟩.

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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