Description of fast matrix multiplication algorithm: ⟨9×12×16:1035⟩

Algorithm type

48 X^{4} Y^{9} Z^{6} + 48 X^{2} Y^{9} Z^{6} + 24 X^{2} Y^{8} Z^{6} + 96 X^{2} Y^{9} Z^{3} + 96 X^{4} Y^{6} Z^{3} + 134 X Y^{9} Z^{3} + 42 X^{4} Y^{4} Z^{4} + 2 X Y^{8} Z^{3} + 3 X^{9} Y Z + 104 X^{2} Y^{6} Z^{3} + 8 X Y^{7} Z^{3} + 6 X Y Z^{9} + 27 X^{6} Y^{2} Z^{2} + 12 X^{2} Y^{6} Z^{2} + 40 X^{2} Y^{5} Z^{3} + 12 X^{2} Y^{4} Z^{4} + 33 X^{2} Y^{2} Z^{6} + 6 X Y^{2} Z^{6} + 45 X^{2} Y^{4} Z^{2} + 24 X^{2} Y^{2} Z^{4} + 6 X Y^{6} Z + 12 X Y Z^{6} + 6 X^{3} Y^{3} Z + 6 X^{3} Y^{2} Z^{2} + 9 X^{3} Y Z^{3} + 6 X Y^{4} Z^{2} + 6 X Y^{3} Z^{3} + 15 X^{3} Y^{2} Z + 12 X^{3} Y Z^{2} + 42 X^{2} Y^{2} Z^{2} + 12 X Y^{4} Z + 18 X Y^{2} Z^{3} + 21 X^{3} Y Z + 12 X Y^{2} Z^{2} + 21 X Y Z^{3} + 21 X Y^{2} Z

Algorithm definition

The algorithm ⟨9×12×16:1035⟩ 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