Description of fast matrix multiplication algorithm: ⟨2×4×16:102⟩

Algorithm type

2 X^{2} Y^{4} Z^{2} + 24 X^{2} Y^{2} Z^{2} + 8 X Y^{4} Z + 16 X Y^{3} Z + 52 X Y Z

Algorithm definition

The algorithm ⟨2×4×16:102⟩ is the (Kronecker) tensor product of ⟨1×1×2:2⟩ with ⟨2×4×8:51⟩.

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