Description of fast matrix multiplication algorithm: ⟨8×8×28:1162⟩

Algorithm type

X^{8} Y^{8} Z^{8} + 4 X^{6} Y^{8} Z^{6} + X^{4} Y^{6} Z^{4} + 52 X^{4} Y^{4} Z^{4} + 4 X^{2} Y^{8} Z^{2} + X^{4} Y^{4} Z^{2} + 2 X^{4} Y^{2} Z^{4} + 24 X^{3} Y^{4} Z^{3} + 2 X^{2} Y^{6} Z^{2} + X^{2} Y^{2} Z^{6} + 3 X^{4} Y^{2} Z^{2} + 8 X^{2} Y^{4} Z^{2} + 2 X^{2} Y^{2} Z^{4} + 6 X^{2} Y^{3} Z^{2} + 367 X^{2} Y^{2} Z^{2} + 24 X Y^{4} Z + 6 X^{2} Y^{2} Z + 12 X^{2} Y Z^{2} + 12 X Y^{3} Z + 6 X Y Z^{3} + 18 X^{2} Y Z + 48 X Y^{2} Z + 12 X Y Z^{2} + 546 X Y Z

Algorithm definition

The algorithm ⟨8×8×28:1162⟩ is the (Kronecker) tensor product of ⟨4×4×14:166⟩ with ⟨2×2×2:7⟩.

Algorithm description

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