Description of fast matrix multiplication algorithm: ⟨11×12×14:1153⟩

Algorithm type

12 X^{5} Y^{6} Z^{4} + 6 X^{4} Y^{6} Z^{4} + 6 X^{5} Y^{4} Z^{4} + 2 X^{3} Y^{8} Z^{2} + 6 X^{3} Y^{6} Z^{4} + 33 X^{4} Y^{4} Z^{4} + 5 X^{2} Y^{8} Z^{2} + 18 X^{3} Y^{6} Z^{2} + 21 X^{3} Y^{4} Z^{4} + X Y^{8} Z^{2} + 18 X^{6} Y^{2} Z^{2} + 18 X^{5} Y^{3} Z^{2} + 15 X^{4} Y^{2} Z^{4} + 27 X^{2} Y^{6} Z^{2} + 9 X^{6} Y Z^{2} + 51 X^{5} Y^{2} Z^{2} + 6 X^{4} Y^{3} Z^{2} + 6 X^{3} Y^{4} Z^{2} + 9 X^{3} Y^{2} Z^{4} + 3 X Y^{6} Z^{2} + 15 X^{5} Y Z^{2} + 49 X^{4} Y^{2} Z^{2} + 5 X^{3} Y^{4} Z + 6 X^{3} Y^{3} Z^{2} + 42 X^{2} Y^{4} Z^{2} + 4 X^{5} Y Z + 27 X^{3} Y^{3} Z + 100 X^{3} Y^{2} Z^{2} + 5 X^{2} Y^{4} Z + 18 X^{2} Y^{3} Z^{2} + 8 X^{4} Y Z + 56 X^{3} Y^{2} Z + 27 X^{3} Y Z^{2} + 39 X^{2} Y^{3} Z + 70 X^{2} Y^{2} Z^{2} + 6 X Y^{4} Z + 57 X^{3} Y Z + 58 X^{2} Y^{2} Z + 37 X^{2} Y Z^{2} + 30 X Y^{3} Z + 7 X Y^{2} Z^{2} + 116 X^{2} Y Z + 28 X Y^{2} Z + 16 X Y Z^{2} + 55 X Y Z

Algorithm definition

The algorithm ⟨11×12×14:1153⟩ 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.

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