Description of fast matrix multiplication algorithm: ⟨9×15×16:1320⟩

Algorithm type

18 X^{4} Y^{6} Z^{4} + 23 X^{4} Y^{5} Z^{4} + 59 X^{4} Y^{4} Z^{4} + 3 X^{9} Y Z + 12 X^{4} Y^{3} Z^{4} + 4 X Y Z^{9} + 25 X^{6} Y^{2} Z^{2} + 6 X^{4} Y^{2} Z^{4} + 56 X^{2} Y^{6} Z^{2} + 62 X^{2} Y^{4} Z^{4} + 40 X^{2} Y^{2} Z^{6} + 32 X^{4} Y^{3} Z^{2} + 65 X^{2} Y^{5} Z^{2} + 35 X^{2} Y^{3} Z^{4} + 4 X Y^{2} Z^{6} + 46 X^{4} Y^{2} Z^{2} + 88 X^{2} Y^{4} Z^{2} + 35 X^{2} Y^{2} Z^{4} + 42 X Y^{6} Z + 8 X Y Z^{6} + 12 X^{4} Y Z^{2} + 6 X^{3} Y^{3} Z + 6 X^{3} Y^{2} Z^{2} + 8 X^{3} Y Z^{3} + 27 X^{2} Y^{3} Z^{2} + 26 X Y^{5} Z + 48 X Y^{4} Z^{2} + 4 X Y^{3} Z^{3} + 15 X^{3} Y^{2} Z + 12 X^{3} Y Z^{2} + 68 X^{2} Y^{3} Z + 109 X^{2} Y^{2} Z^{2} + 18 X^{2} Y Z^{3} + 50 X Y^{4} Z + 58 X Y^{3} Z^{2} + 32 X Y^{2} Z^{3} + 21 X^{3} Y Z + 24 X^{2} Y^{2} Z + 34 X^{2} Y Z^{2} + 6 X Y^{3} Z + 20 X Y^{2} Z^{2} + 14 X Y Z^{3} + 16 X^{2} Y Z + 23 X Y^{2} Z

Algorithm definition

The algorithm ⟨9×15×16:1320⟩ 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