Description of fast matrix multiplication algorithm: ⟨10×12×14:1050⟩

Algorithm type

X^{6} Y^{4} Z^{4} + 59 X^{4} Y^{4} Z^{4} + 2 X^{6} Y^{2} Z^{2} + 2 X^{4} Y^{4} Z^{2} + X^{4} Y^{2} Z^{4} + 16 X^{4} Y^{2} Z^{2} + 27 X^{2} Y^{4} Z^{2} + 20 X^{2} Y^{2} Z^{4} + 6 X^{3} Y^{2} Z^{2} + 376 X^{2} Y^{2} Z^{2} + 12 X^{3} Y Z + 12 X^{2} Y^{2} Z + 6 X^{2} Y Z^{2} + 96 X^{2} Y Z + 162 X Y^{2} Z + 120 X Y Z^{2} + 132 X Y Z

Algorithm definition

The algorithm ⟨10×12×14:1050⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨5×6×7:150⟩.

Algorithm description

maple tensor representation (compressed by bzip2);
maple LRP representation (compressed by bzip2);
maple evaluation scheme (compressed by bzip2).

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