Description of fast matrix multiplication algorithm: ⟨10×15×21:1904⟩

Algorithm type

3 X^{6} Y^{4} Z^{4} + 141 X^{4} Y^{4} Z^{4} + 9 X^{6} Y^{2} Z^{2} + 3 X^{4} Y^{2} Z^{4} + 3 X^{2} Y^{2} Z^{6} + 6 X^{3} Y^{4} Z^{2} + 27 X^{4} Y^{2} Z^{2} + 342 X^{2} Y^{4} Z^{2} + 57 X^{2} Y^{2} Z^{4} + 6 X^{3} Y^{2} Z^{2} + 2 X^{2} Y^{2} Z^{3} + 18 X^{3} Y^{2} Z + X^{2} Y^{3} Z + 365 X^{2} Y^{2} Z^{2} + 120 X Y^{4} Z + 6 X Y^{2} Z^{3} + 20 X^{3} Y Z + 54 X^{2} Y^{2} Z + 10 X^{2} Y Z^{2} + 114 X Y^{2} Z^{2} + 8 X Y Z^{3} + 57 X^{2} Y Z + 264 X Y^{2} Z + 121 X Y Z^{2} + 147 X Y Z

Algorithm definition

The algorithm ⟨10×15×21:1904⟩ is serendipitous tensor product (⟨5×5×7:127⟩ - 2) ⊗ ⟨2×3×3:15⟩ +⟨4×3×3:29⟩.

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