Description of fast matrix multiplication algorithm: ⟨9×11×15:956⟩

Algorithm type

2 X^{4} Y^{6} Z^{4} + 8 X^{4} Y^{5} Z^{4} + 6 X^{6} Y^{4} Z^{2} + 6 X^{5} Y^{3} Z^{4} + 36 X^{4} Y^{4} Z^{4} + 6 X^{2} Y^{8} Z^{2} + X^{6} Y^{3} Z^{2} + 4 X^{4} Y^{5} Z^{2} + X^{3} Y^{6} Z^{2} + 3 X^{3} Y^{2} Z^{6} + X^{2} Y^{7} Z^{2} + X^{2} Y^{3} Z^{6} + 12 X^{6} Y^{2} Z^{2} + 6 X^{4} Y^{2} Z^{4} + 4 X^{3} Y^{5} Z^{2} + 3 X^{3} Y^{3} Z^{4} + 8 X^{2} Y^{6} Z^{2} + 9 X^{2} Y^{4} Z^{4} + 15 X^{2} Y^{2} Z^{6} + X Y^{8} Z + 4 X^{4} Y^{3} Z^{2} + 5 X^{3} Y^{2} Z^{4} + 3 X^{2} Y^{6} Z + 14 X^{2} Y^{5} Z^{2} + 18 X^{2} Y^{3} Z^{4} + 4 X^{2} Y Z^{6} + X Y^{7} Z + X Y^{2} Z^{6} + 4 X^{3} Y^{3} Z^{2} + 13 X^{3} Y Z^{4} + 5 X^{2} Y^{5} Z + 17 X^{2} Y^{4} Z^{2} + X^{2} Y^{3} Z^{3} + 98 X^{2} Y^{2} Z^{4} + 8 X Y^{6} Z + X Y^{5} Z^{2} + 32 X Y Z^{6} + X^{4} Y^{2} Z + 7 X^{3} Y^{3} Z + 23 X^{3} Y^{2} Z^{2} + 22 X^{2} Y^{3} Z^{2} + 3 X^{2} Y Z^{4} + 7 X Y^{5} Z + 14 X Y^{4} Z^{2} + 17 X Y^{2} Z^{4} + 18 X^{3} Y^{2} Z + 38 X^{3} Y Z^{2} + 22 X^{2} Y^{3} Z + 100 X^{2} Y^{2} Z^{2} + 13 X^{2} Y Z^{3} + 13 X Y^{4} Z + 21 X Y^{3} Z^{2} + 23 X Y Z^{4} + 25 X^{3} Y Z + 4 X^{2} Y^{2} Z + 7 X^{2} Y Z^{2} + 26 X Y^{3} Z + 54 X Y^{2} Z^{2} + 42 X Y Z^{3} + 40 X Y^{2} Z + 50 X Y Z^{2} + 4 X Y Z

Algorithm definition

The algorithm ⟨9×11×15:956⟩ 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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