Description of fast matrix multiplication algorithm: ⟨9×14×16:1254⟩

Algorithm type

24 X^{4} Y^{6} Z^{4} + 60 X^{4} Y^{4} Z^{4} + 8 X^{2} Y^{8} Z^{2} + 24 X^{2} Y^{3} Z^{6} + 24 X^{4} Y^{2} Z^{4} + 48 X^{2} Y^{6} Z^{2} + 60 X^{2} Y^{2} Z^{6} + 24 X^{2} Y^{3} Z^{4} + 24 X^{2} Y Z^{6} + 48 X^{2} Y^{4} Z^{2} + 60 X^{2} Y^{2} Z^{4} + 8 X Y^{4} Z^{3} + 24 X^{2} Y^{3} Z^{2} + 24 X^{2} Y^{2} Z^{3} + 24 X^{2} Y Z^{4} + 8 X Y^{4} Z^{2} + 48 X Y^{3} Z^{3} + 166 X^{2} Y^{2} Z^{2} + 8 X Y^{4} Z + 48 X Y^{3} Z^{2} + 48 X Y^{2} Z^{3} + 35 X^{2} Y Z^{2} + 48 X Y^{3} Z + 50 X Y^{2} Z^{2} + 46 X Y Z^{3} + 31 X^{2} Y Z + 68 X Y^{2} Z + 61 X Y Z^{2} + 105 X Y Z

Algorithm definition

The algorithm ⟨9×14×16:1254⟩ 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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