Description of fast matrix multiplication algorithm: ⟨8×26×32:3920⟩

Algorithm type

6 X^{8} Y^{12} Z^{8} + 4 X^{8} Y^{10} Z^{8} + 14 X^{8} Y^{8} Z^{8} + 9 X^{4} Y^{16} Z^{4} + 4 X^{2} Y^{20} Z^{2} + 10 X^{4} Y^{14} Z^{4} + 6 X^{2} Y^{18} Z^{2} + 20 X^{4} Y^{12} Z^{4} + 5 X^{2} Y^{16} Z^{2} + 28 X^{4} Y^{10} Z^{4} + 13 X^{2} Y^{14} Z^{2} + 61 X^{4} Y^{8} Z^{4} + 17 X^{2} Y^{12} Z^{2} + X^{4} Y^{8} Z^{2} + 43 X^{4} Y^{6} Z^{4} + 32 X^{2} Y^{10} Z^{2} + X^{2} Y^{8} Z^{4} + 24 X^{4} Y^{5} Z^{4} + 148 X^{4} Y^{4} Z^{4} + 157 X^{2} Y^{8} Z^{2} + 24 X Y^{10} Z + 60 X^{2} Y^{7} Z^{2} + 36 X Y^{9} Z + 3 X^{4} Y^{2} Z^{4} + 155 X^{2} Y^{6} Z^{2} + 30 X Y^{8} Z + 168 X^{2} Y^{5} Z^{2} + 78 X Y^{7} Z + 393 X^{2} Y^{4} Z^{2} + 102 X Y^{6} Z + 6 X^{2} Y^{4} Z + 42 X^{2} Y^{3} Z^{2} + 192 X Y^{5} Z + 6 X Y^{4} Z^{2} + 474 X^{2} Y^{2} Z^{2} + 618 X Y^{4} Z + 18 X^{2} Y Z^{2} + 210 X Y^{3} Z + 162 X Y^{2} Z + 540 X Y Z

Algorithm definition

The algorithm ⟨8×26×32:3920⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×13×16:560⟩.

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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