Description of fast matrix multiplication algorithm: ⟨8×24×32:3640⟩

Algorithm type

24 X^{8} Y^{8} Z^{8} + 8 X^{2} Y^{18} Z^{2} + 32 X^{4} Y^{12} Z^{4} + 32 X^{4} Y^{8} Z^{4} + 32 X^{2} Y^{12} Z^{2} + 256 X^{4} Y^{4} Z^{4} + 48 X Y^{9} Z + 256 X^{2} Y^{6} Z^{2} + 288 X^{2} Y^{4} Z^{2} + 192 X Y^{6} Z + 792 X^{2} Y^{2} Z^{2} + 384 X Y^{3} Z + 576 X Y^{2} Z + 720 X Y Z

Algorithm definition

The algorithm ⟨8×24×32:3640⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×12×16:520⟩.

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