Description of fast matrix multiplication algorithm: ⟨8×20×26:2576⟩

Algorithm type

3 X^{8} Y^{12} Z^{8} + X^{8} Y^{10} Z^{8} + 6 X^{8} Y^{8} Z^{8} + 3 X^{4} Y^{16} Z^{4} + X^{8} Y^{6} Z^{8} + 2 X^{4} Y^{14} Z^{4} + 3 X^{8} Y^{6} Z^{6} + 5 X^{4} Y^{12} Z^{4} + 5 X^{4} Y^{10} Z^{4} + X^{4} Y^{10} Z^{2} + 7 X^{4} Y^{8} Z^{4} + 47 X^{4} Y^{6} Z^{4} + 3 X^{2} Y^{10} Z^{2} + 6 X^{4} Y^{5} Z^{4} + X^{4} Y^{6} Z^{2} + 100 X^{4} Y^{4} Z^{4} + 51 X^{2} Y^{8} Z^{2} + 6 X^{4} Y^{3} Z^{4} + 12 X^{2} Y^{7} Z^{2} + 18 X^{4} Y^{3} Z^{3} + 3 X^{4} Y^{2} Z^{4} + 87 X^{2} Y^{6} Z^{2} + 30 X^{2} Y^{5} Z^{2} + 6 X^{2} Y^{5} Z + 87 X^{2} Y^{4} Z^{2} + 174 X^{2} Y^{3} Z^{2} + 18 X Y^{5} Z + 6 X^{2} Y^{3} Z + 480 X^{2} Y^{2} Z^{2} + 198 X Y^{4} Z + 18 X^{2} Y Z^{2} + 342 X Y^{3} Z + 270 X Y^{2} Z + 576 X Y Z

Algorithm definition

The algorithm ⟨8×20×26:2576⟩ is the (Kronecker) tensor product of ⟨4×10×13:368⟩ with ⟨2×2×2:7⟩.

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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