Description of fast matrix multiplication algorithm: ⟨10×15×25:2320⟩

Algorithm type

10 X^{6} Y^{2} Z^{4} + 170 X^{4} Y^{4} Z^{4} + 10 X^{2} Y^{6} Z^{4} + 20 X^{2} Y^{2} Z^{8} + 4 X Y^{9} Z^{2} + 20 X Y^{9} Z + 50 X^{6} Y^{2} Z^{2} + 20 X^{4} Y^{2} Z^{4} + 118 X^{2} Y^{6} Z^{2} + 20 X^{2} Y^{4} Z^{4} + 10 X^{2} Y^{2} Z^{6} + 18 X Y^{6} Z^{2} + 10 X^{4} Y^{2} Z^{2} + 4 X^{3} Y^{3} Z^{2} + 180 X^{2} Y^{4} Z^{2} + 130 X^{2} Y^{2} Z^{4} + 54 X Y^{6} Z + 8 X Y^{3} Z^{4} + 20 X^{3} Y^{3} Z + 10 X^{3} Y^{2} Z^{2} + 8 X^{2} Y^{3} Z^{2} + 20 X Y^{4} Z^{2} + 4 X Y^{3} Z^{3} + 20 X Y^{2} Z^{4} + 50 X^{3} Y^{2} Z + 16 X^{3} Y Z^{2} + 4 X^{2} Y^{3} Z + 362 X^{2} Y^{2} Z^{2} + 10 X Y^{4} Z + 68 X Y^{3} Z^{2} + 10 X Y^{2} Z^{3} + 32 X Y Z^{4} + 80 X^{3} Y Z + 10 X^{2} Y^{2} Z + 32 X^{2} Y Z^{2} + 108 X Y^{3} Z + 162 X Y^{2} Z^{2} + 16 X Y Z^{3} + 16 X^{2} Y Z + 86 X Y^{2} Z + 208 X Y Z^{2} + 112 X Y Z

Algorithm definition

The algorithm ⟨10×15×25:2320⟩ is the (Kronecker) tensor product of ⟨2×5×5:40⟩ with ⟨5×3×5:58⟩.

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