Description of fast matrix multiplication algorithm: ⟨8×26×30:3647⟩

Algorithm type

24 X^{8} Y^{14} Z^{8} + 8 X^{4} Y^{18} Z^{4} + 3 X^{8} Y^{8} Z^{8} + 9 X^{4} Y^{16} Z^{4} + 2 X^{8} Y^{6} Z^{8} + 42 X^{4} Y^{14} Z^{4} + 8 X^{2} Y^{18} Z^{2} + 23 X^{4} Y^{12} Z^{4} + 11 X^{2} Y^{16} Z^{2} + 21 X^{4} Y^{10} Z^{4} + 20 X^{2} Y^{14} Z^{2} + 23 X^{4} Y^{8} Z^{4} + 24 X^{2} Y^{12} Z^{2} + 144 X^{4} Y^{7} Z^{4} + 39 X^{4} Y^{6} Z^{4} + 24 X^{2} Y^{10} Z^{2} + 48 X^{2} Y^{9} Z^{2} + 43 X^{4} Y^{4} Z^{4} + 72 X^{2} Y^{8} Z^{2} + 12 X^{4} Y^{3} Z^{4} + 252 X^{2} Y^{7} Z^{2} + 48 X Y^{9} Z + 2 X^{4} Y^{2} Z^{4} + 254 X^{2} Y^{6} Z^{2} + 66 X Y^{8} Z + 126 X^{2} Y^{5} Z^{2} + 120 X Y^{7} Z + 198 X^{2} Y^{4} Z^{2} + 144 X Y^{6} Z + 234 X^{2} Y^{3} Z^{2} + 144 X Y^{5} Z + 169 X^{2} Y^{2} Z^{2} + 108 X Y^{4} Z + 12 X^{2} Y Z^{2} + 696 X Y^{3} Z + 360 X Y^{2} Z + 114 X Y Z

Algorithm definition

The algorithm ⟨8×26×30:3647⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×13×15:521⟩.

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