Description of fast matrix multiplication algorithm: ⟨9×11×14:882⟩

Algorithm type

12 X^{5} Y^{6} Z^{2} + 16 X^{5} Y^{4} Z^{4} + 11 X^{3} Y^{6} Z^{4} + 4 X^{4} Y^{6} Z^{2} + 24 X^{4} Y^{4} Z^{4} + 13 X^{2} Y^{6} Z^{4} + 5 X^{6} Y^{3} Z^{2} + 10 X^{3} Y^{6} Z^{2} + 8 X^{3} Y^{4} Z^{4} + 25 X^{3} Y^{2} Z^{6} + 14 X^{6} Y^{2} Z^{2} + 22 X^{5} Y^{3} Z^{2} + 6 X^{2} Y^{6} Z^{2} + 15 X^{2} Y^{2} Z^{6} + 8 X^{5} Y^{3} Z + 65 X^{5} Y^{2} Z^{2} + 11 X^{4} Y^{3} Z^{2} + 10 X^{3} Y^{2} Z^{4} + 8 X Y^{6} Z^{2} + 10 X^{5} Y Z^{2} + 2 X^{4} Y^{3} Z + 60 X^{4} Y^{2} Z^{2} + 6 X^{3} Y^{4} Z + 18 X^{3} Y^{3} Z^{2} + 6 X^{2} Y^{2} Z^{4} + 16 X^{4} Y Z^{2} + 86 X^{3} Y^{3} Z + 31 X^{3} Y^{2} Z^{2} + 30 X^{3} Y Z^{3} + 4 X^{2} Y^{4} Z + 10 X^{2} Y^{3} Z^{2} + 76 X^{3} Y^{2} Z + 24 X^{3} Y Z^{2} + 28 X^{2} Y^{3} Z + 19 X^{2} Y^{2} Z^{2} + 10 X^{2} Y Z^{3} + 4 X Y^{4} Z + 6 X Y^{3} Z^{2} + 70 X^{3} Y Z + 8 X^{2} Y^{2} Z + 8 X^{2} Y Z^{2} + 10 X Y^{3} Z + 4 X Y^{2} Z^{2} + 10 X Y Z^{3} + 24 X^{2} Y Z + 4 X Y Z^{2} + 11 X Y Z

Algorithm definition

The algorithm ⟨9×11×14:882⟩ 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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