Description of fast matrix multiplication algorithm: ⟨6×11×15:653⟩

Algorithm type

12 X^{4} Y^{5} Z^{4} + 20 X^{4} Y^{4} Z^{4} + 24 X^{2} Y^{6} Z^{2} + 6 X^{2} Y^{5} Z^{2} + 8 X^{2} Y^{3} Z^{4} + 23 X^{2} Y^{4} Z^{2} + 26 X^{2} Y^{2} Z^{4} + 9 X Y^{6} Z + X Y^{5} Z^{2} + X^{3} Y^{3} Z + 2 X^{2} Y^{4} Z + 63 X^{2} Y^{3} Z^{2} + 5 X Y^{5} Z + X Y^{4} Z^{2} + 4 X Y^{3} Z^{3} + 9 X^{3} Y^{2} Z + 5 X^{2} Y^{3} Z + 90 X^{2} Y^{2} Z^{2} + 18 X Y^{4} Z + 35 X Y^{3} Z^{2} + 14 X Y^{2} Z^{3} + 14 X^{3} Y Z + 6 X^{2} Y^{2} Z + 3 X^{2} Y Z^{2} + 87 X Y^{3} Z + 10 X Y^{2} Z^{2} + 12 X Y Z^{3} + 2 X^{2} Y Z + 71 X Y^{2} Z + 33 X Y Z^{2} + 39 X Y Z

Algorithm definition

The algorithm ⟨6×11×15:653⟩ is taken from:

Andrew I. Perminov. FastMatrixMultiplication, GitHub, February 2026. [ GitHub repository ]

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