Description of fast matrix multiplication algorithm: ⟨3×4×12:112⟩

Algorithm type

4 X^{2} Y^{3} Z^{2} + 28 X^{2} Y^{2} Z^{2} + 12 X Y^{2} Z + 28 X Y Z^{2} + 40 X Y Z

Algorithm definition

The algorithm ⟨3×4×12:112⟩ is the (Kronecker) tensor product of ⟨3×4×6:56⟩ with ⟨1×1×2:2⟩.

Algorithm description

maple tensor 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