Description of fast matrix multiplication algorithm: ⟨8×18×18:1575⟩

Algorithm type

9 X^{8} Y^{8} Z^{8} + 36 X^{4} Y^{8} Z^{4} + 90 X^{4} Y^{4} Z^{4} + 36 X^{2} Y^{8} Z^{2} + 288 X^{2} Y^{4} Z^{2} + 252 X^{2} Y^{2} Z^{2} + 216 X Y^{4} Z + 432 X Y^{2} Z + 216 X Y Z

Algorithm definition

The algorithm ⟨8×18×18:1575⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×9×9:225⟩.

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