Description of fast matrix multiplication algorithm: ⟨6×15×15:870⟩

Algorithm type

3 X^{6} Y^{4} Z^{2} + 51 X^{4} Y^{4} Z^{4} + 6 X^{2} Y^{8} Z^{2} + 3 X^{2} Y^{4} Z^{6} + 15 X^{6} Y^{2} Z^{2} + 6 X^{4} Y^{4} Z^{2} + 3 X^{2} Y^{6} Z^{2} + 6 X^{2} Y^{4} Z^{4} + 15 X^{2} Y^{2} Z^{6} + 12 X Y^{8} Z + 3 X^{4} Y^{2} Z^{2} + 6 X^{3} Y^{4} Z + 141 X^{2} Y^{4} Z^{2} + 3 X^{2} Y^{2} Z^{4} + 6 X Y^{6} Z + 6 X Y^{4} Z^{3} + 12 X^{2} Y^{4} Z + 12 X Y^{4} Z^{2} + 36 X^{3} Y^{2} Z + 123 X^{2} Y^{2} Z^{2} + 90 X Y^{4} Z + 36 X Y^{2} Z^{3} + 30 X^{3} Y Z + 18 X^{2} Y^{2} Z + 6 X Y^{3} Z + 18 X Y^{2} Z^{2} + 30 X Y Z^{3} + 6 X^{2} Y Z + 120 X Y^{2} Z + 6 X Y Z^{2} + 42 X Y Z

Algorithm definition

The algorithm ⟨6×15×15:870⟩ is the (Kronecker) tensor product of ⟨2×3×3:15⟩ with ⟨3×5×5:58⟩.

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