Description of fast matrix multiplication algorithm: ⟨9×11×11:715⟩

Algorithm type

26 X^{4} Y^{4} Z^{4} + 2 X^{4} Y^{4} Z^{3} + 5 X^{4} Y^{3} Z^{4} + 3 X^{3} Y^{4} Z^{4} + 6 X^{4} Y^{3} Z^{3} + 26 X^{3} Y^{3} Z^{4} + 2 X^{3} Y^{3} Z^{3} + 33 X^{4} Y^{2} Z^{2} + 56 X^{3} Y^{3} Z^{2} + 29 X^{2} Y^{4} Z^{2} + 61 X^{2} Y^{2} Z^{4} + 4 X Y Z^{6} + 2 X^{4} Y^{2} Z + 5 X^{4} Y Z^{2} + 48 X^{3} Y^{3} Z + 9 X^{3} Y^{2} Z^{2} + 2 X^{2} Y^{4} Z + 15 X^{2} Y^{3} Z^{2} + 10 X^{2} Y^{2} Z^{3} + 3 X Y^{4} Z^{2} + 2 X^{4} Y Z + 11 X^{3} Y Z^{2} + 2 X^{2} Y^{3} Z + 61 X^{2} Y^{2} Z^{2} + 7 X Y^{3} Z^{2} + 4 X Y Z^{4} + 12 X^{3} Y Z + 6 X^{2} Y^{2} Z + 54 X^{2} Y Z^{2} + 6 X Y^{3} Z + 50 X Y^{2} Z^{2} + 6 X Y Z^{3} + 40 X^{2} Y Z + 46 X Y^{2} Z + 37 X Y Z^{2} + 24 X Y Z

Algorithm definition

The algorithm ⟨9×11×11:715⟩ 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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