Description of fast matrix multiplication algorithm: ⟨10×26×26:4130⟩

Algorithm type

16 X^{10} Y^{10} Z^{8} + 24 X^{10} Y^{10} Z^{4} + 4 X^{8} Y^{8} Z^{8} + 4 X^{6} Y^{12} Z^{6} + 2 X^{6} Y^{10} Z^{6} + X^{4} Y^{14} Z^{4} + 2 X^{8} Y^{4} Z^{8} + 8 X^{6} Y^{8} Z^{6} + 2 X^{6} Y^{6} Z^{8} + 3 X^{4} Y^{12} Z^{4} + X^{2} Y^{16} Z^{2} + X^{6} Y^{6} Z^{6} + 3 X^{4} Y^{10} Z^{4} + 2 X^{2} Y^{12} Z^{4} + 16 X^{6} Y^{6} Z^{4} + 3 X^{6} Y^{4} Z^{6} + X^{6} Y^{2} Z^{8} + 10 X^{4} Y^{8} Z^{4} + 48 X^{4} Y^{6} Z^{6} + 3 X^{2} Y^{12} Z^{2} + X^{2} Y^{10} Z^{4} + 24 X^{6} Y^{6} Z^{2} + 96 X^{5} Y^{5} Z^{4} + X^{4} Y^{8} Z^{2} + X^{4} Y^{6} Z^{4} + X^{2} Y^{10} Z^{2} + 3 X^{2} Y^{8} Z^{4} + 72 X^{2} Y^{6} Z^{6} + 144 X^{5} Y^{5} Z^{2} + 121 X^{4} Y^{4} Z^{4} + 24 X^{3} Y^{6} Z^{3} + 8 X^{2} Y^{8} Z^{2} + X^{2} Y^{6} Z^{4} + 12 X^{3} Y^{5} Z^{3} + 6 X^{2} Y^{7} Z^{2} + 3 X^{4} Y^{4} Z^{2} + 12 X^{4} Y^{2} Z^{4} + 48 X^{3} Y^{4} Z^{3} + 12 X^{3} Y^{3} Z^{4} + 43 X^{2} Y^{6} Z^{2} + 6 X Y^{8} Z + 6 X^{3} Y^{3} Z^{3} + 18 X^{2} Y^{5} Z^{2} + 12 X Y^{6} Z^{2} + 18 X^{4} Y^{2} Z^{2} + 96 X^{3} Y^{3} Z^{2} + 18 X^{3} Y^{2} Z^{3} + 6 X^{3} Y Z^{4} + 128 X^{2} Y^{4} Z^{2} + 288 X^{2} Y^{3} Z^{3} + 23 X^{2} Y^{2} Z^{4} + 18 X Y^{6} Z + 6 X Y^{5} Z^{2} + 144 X^{3} Y^{3} Z + 6 X^{2} Y^{4} Z + 6 X^{2} Y^{3} Z^{2} + 6 X Y^{5} Z + 18 X Y^{4} Z^{2} + 432 X Y^{3} Z^{3} + 672 X^{2} Y^{2} Z^{2} + 48 X Y^{4} Z + 6 X Y^{3} Z^{2} + 18 X^{2} Y^{2} Z + 150 X Y^{3} Z + 108 X^{2} Y Z + 408 X Y^{2} Z + 138 X Y Z^{2} + 540 X Y Z

Algorithm definition

The algorithm ⟨10×26×26:4130⟩ is the (Kronecker) tensor product of ⟨5×13×13:590⟩ 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.

Back to main table