Description of fast matrix multiplication algorithm: ⟨9×11×13:835⟩

Algorithm type

4 X^{4} Y^{6} Z^{4} + 8 X^{4} Y^{5} Z^{4} + 6 X^{4} Y^{5} Z^{3} + 28 X^{4} Y^{4} Z^{4} + X^{2} Y^{8} Z^{2} + 6 X^{4} Y^{3} Z^{4} + 2 X^{3} Y^{4} Z^{4} + 5 X^{2} Y^{7} Z^{2} + 25 X^{4} Y^{3} Z^{3} + 11 X^{4} Y^{2} Z^{4} + 12 X^{2} Y^{6} Z^{2} + 12 X^{4} Y^{3} Z^{2} + 4 X^{3} Y^{2} Z^{4} + 21 X^{2} Y^{5} Z^{2} + 4 X^{4} Y^{3} Z + 76 X^{4} Y^{2} Z^{2} + 3 X^{4} Y Z^{3} + 3 X^{2} Y^{5} Z + 22 X^{2} Y^{4} Z^{2} + 24 X^{2} Y^{3} Z^{3} + 8 X^{4} Y Z^{2} + 2 X^{3} Y^{2} Z^{2} + 4 X^{2} Y^{4} Z + 23 X^{2} Y^{3} Z^{2} + 4 X^{3} Y Z^{2} + 41 X^{2} Y^{3} Z + 120 X^{2} Y^{2} Z^{2} + 10 X^{2} Y Z^{3} + 2 X Y^{4} Z + 12 X Y^{3} Z^{2} + 60 X^{2} Y^{2} Z + 46 X^{2} Y Z^{2} + 24 X Y^{3} Z + 20 X Y Z^{3} + 30 X^{2} Y Z + 66 X Y^{2} Z + 62 X Y Z^{2} + 24 X Y Z

Algorithm definition

The algorithm ⟨9×11×13:835⟩ 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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