Description of fast matrix multiplication algorithm: ⟨15×15×32:4180⟩

Algorithm type

16 X^{6} Y^{6} Z^{6} + 64 X^{2} Y^{12} Z^{3} + 64 X^{2} Y^{3} Z^{12} + 368 X^{4} Y^{6} Z^{6} + 96 X Y^{12} Z^{3} + 96 X Y^{3} Z^{12} + 24 X^{3} Y^{6} Z^{6} + 3 X^{6} Y^{4} Z^{4} + 552 X^{2} Y^{6} Z^{6} + 128 X^{4} Y^{3} Z^{6} + 208 X^{6} Y^{3} Z^{3} + 69 X^{4} Y^{4} Z^{4} + 12 X^{2} Y^{8} Z^{2} + 12 X^{2} Y^{2} Z^{8} + 256 X^{2} Y^{3} Z^{6} + 45 X^{6} Y^{2} Z^{2} + 64 X^{4} Y^{3} Z^{3} + 24 X^{4} Y^{2} Z^{4} + 96 X Y^{3} Z^{6} + 312 X^{3} Y^{3} Z^{3} + 78 X^{6} Y Z + 150 X^{4} Y^{2} Z^{2} + 336 X^{2} Y^{3} Z^{3} + 12 X^{2} Y^{2} Z^{4} + 48 X^{4} Y Z^{2} + 6 X^{3} Y^{2} Z^{2} + 24 X^{2} Y^{4} Z + 24 X^{2} Y Z^{4} + 360 X Y^{3} Z^{3} + 24 X^{4} Y Z + 183 X^{2} Y^{2} Z^{2} + 24 X Y^{4} Z + 24 X Y Z^{4} + 78 X^{3} Y Z + 72 X^{2} Y Z^{2} + 114 X^{2} Y Z + 24 X Y Z^{2} + 90 X Y Z

Algorithm definition

The algorithm ⟨15×15×32:4180⟩ is the (Kronecker) tensor product of ⟨3×3×8:55⟩ with ⟨5×5×4:76⟩.

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