Description of fast matrix multiplication algorithm: ⟨12×14×14:1449⟩

Algorithm type

4 X^{4} Y^{6} Z^{8} + 12 X^{4} Y^{6} Z^{6} + 9 X^{4} Y^{4} Z^{8} + 14 X^{4} Y^{6} Z^{4} + 26 X^{4} Y^{4} Z^{6} + 2 X^{4} Y^{2} Z^{8} + 2 X^{2} Y^{8} Z^{4} + 12 X^{2} Y^{3} Z^{8} + 40 X^{4} Y^{4} Z^{4} + 4 X^{4} Y^{2} Z^{6} + 8 X^{2} Y^{8} Z^{2} + 24 X^{2} Y^{6} Z^{4} + 8 X^{2} Y^{3} Z^{7} + 26 X^{2} Y^{2} Z^{8} + 18 X^{2} Y^{2} Z^{7} + 4 X^{2} Y Z^{8} + 24 X^{4} Y^{2} Z^{4} + 36 X^{2} Y^{6} Z^{2} + 28 X^{2} Y^{4} Z^{4} + 8 X^{2} Y^{3} Z^{5} + 2 X^{2} Y^{2} Z^{6} + 4 X^{2} Y Z^{7} + 16 X^{2} Y^{3} Z^{4} + 20 X^{2} Y^{2} Z^{5} + 4 X^{2} Y Z^{6} + 4 X Y^{4} Z^{4} + 32 X^{2} Y^{4} Z^{2} + 28 X^{2} Y^{3} Z^{3} + 62 X^{2} Y^{2} Z^{4} + 8 X^{2} Y Z^{5} + 4 X Y^{4} Z^{3} + 48 X Y^{3} Z^{4} + 36 X^{2} Y^{3} Z^{2} + 60 X^{2} Y^{2} Z^{3} + 20 X^{2} Y Z^{4} + 8 X Y^{4} Z^{2} + 12 X Y^{3} Z^{3} + 56 X Y^{2} Z^{4} + 132 X^{2} Y^{2} Z^{2} + 8 X^{2} Y Z^{3} + 20 X Y^{4} Z + 48 X Y^{3} Z^{2} + 8 X Y^{2} Z^{3} + 40 X Y Z^{4} + 60 X^{2} Y Z^{2} + 108 X Y^{3} Z + 64 X Y^{2} Z^{2} + 10 X Y Z^{3} + 88 X Y^{2} Z + 44 X Y Z^{2} + 86 X Y Z

Algorithm definition

The algorithm ⟨12×14×14:1449⟩ 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