Description of fast matrix multiplication algorithm: ⟨14×20×24:3873⟩

Algorithm type

6 X^{4} Y^{6} Z^{4} + X^{2} Y^{8} Z^{4} + 2 X^{2} Y^{9} Z^{2} + 354 X^{4} Y^{4} Z^{4} + 2 X^{2} Y^{8} Z^{2} + 4 X Y^{9} Z + X Y^{8} Z^{2} + 6 X^{4} Y^{4} Z^{2} + 8 X^{4} Y^{2} Z^{4} + 138 X^{2} Y^{6} Z^{2} + 7 X^{2} Y^{4} Z^{4} + 2 X Y^{8} Z + 2 X^{2} Y^{6} Z + 2 X^{2} Y^{4} Z^{3} + 3 X^{2} Y^{3} Z^{4} + 5 X Y^{6} Z^{2} + 104 X^{4} Y^{2} Z^{2} + 24 X^{3} Y^{2} Z^{3} + 557 X^{2} Y^{4} Z^{2} + 6 X^{2} Y^{3} Z^{3} + 155 X^{2} Y^{2} Z^{4} + 46 X Y^{6} Z + 2 X Y^{5} Z^{2} + 8 X^{3} Y^{2} Z^{2} + 8 X^{2} Y^{4} Z + 11 X^{2} Y^{3} Z^{2} + 4 X^{2} Y^{2} Z^{3} + 4 X Y^{5} Z + 10 X Y^{4} Z^{2} + 32 X^{2} Y^{3} Z + 729 X^{2} Y^{2} Z^{2} + 114 X Y^{4} Z + 52 X Y^{3} Z^{2} + 138 X^{2} Y^{2} Z + 46 X^{2} Y Z^{2} + 54 X Y^{3} Z + 217 X Y^{2} Z^{2} + 242 X^{2} Y Z + 289 X Y^{2} Z + 277 X Y Z^{2} + 201 X Y Z

Algorithm definition

The algorithm ⟨14×20×24:3873⟩ is serendipitous tensor product (⟨7×5×6:150⟩ - 18) ⊗ ⟨2×4×4:26⟩ +3⟨2×4×8:51⟩ +6⟨4×4×4:48⟩.

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