Description of fast matrix multiplication algorithm: ⟨9×23×28:3402⟩

Algorithm type

78 X^{4} Y^{6} Z^{4} + 30 X^{4} Y^{5} Z^{4} + 245 X^{4} Y^{4} Z^{4} + 26 X^{2} Y^{8} Z^{2} + 20 X^{4} Y^{3} Z^{4} + 5 X^{3} Y^{4} Z^{4} + 10 X^{2} Y^{7} Z^{2} + 98 X^{4} Y^{2} Z^{4} + 260 X^{2} Y^{6} Z^{2} + 28 X Y^{8} Z + 96 X^{4} Y^{3} Z^{2} + 10 X^{3} Y^{2} Z^{4} + 64 X^{2} Y^{5} Z^{2} + 8 X Y^{7} Z + 270 X^{4} Y^{2} Z^{2} + 448 X^{2} Y^{4} Z^{2} + 184 X Y^{6} Z + 108 X^{4} Y Z^{2} + 4 X^{3} Y^{2} Z^{2} + 32 X^{2} Y^{4} Z + 36 X^{2} Y^{3} Z^{2} + 32 X Y^{5} Z + 2 X Y^{4} Z^{2} + 8 X^{3} Y Z^{2} + 204 X^{2} Y^{3} Z + 284 X^{2} Y^{2} Z^{2} + 200 X Y^{4} Z + 224 X^{2} Y^{2} Z + 16 X Y^{3} Z + 4 X Y^{2} Z^{2} + 188 X^{2} Y Z + 180 X Y^{2} Z

Algorithm definition

The algorithm ⟨9×23×28:3402⟩ is the projection [[0, 24], [0]] of ⟨9×24×28:3402⟩.

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