Description of fast matrix multiplication algorithm: ⟨9×15×15:1236⟩

Algorithm type

96 X^{6} Y^{9} Z^{4} + 48 X^{6} Y^{8} Z^{2} + 32 X^{6} Y^{6} Z^{4} + 96 X^{6} Y^{7} Z^{2} + 48 X^{3} Y^{9} Z^{2} + 8 X^{6} Y^{5} Z^{2} + 8 X^{5} Y^{6} Z^{2} + 4 X^{3} Y^{9} Z + 32 X^{5} Y^{5} Z^{2} + 4 X^{4} Y^{4} Z^{4} + 52 X^{3} Y^{8} Z + 16 X^{3} Y^{7} Z + 112 X^{3} Y^{6} Z^{2} + 16 X^{3} Y^{6} Z + 12 X^{2} Y^{6} Z^{2} + 104 X^{3} Y^{5} Z + 2 X^{4} Y^{2} Z^{2} + 48 X^{3} Y^{4} Z + 96 X^{3} Y^{3} Z^{2} + 11 X^{2} Y^{4} Z^{2} + 27 X^{2} Y^{2} Z^{4} + 9 X Y^{6} Z + 144 X^{3} Y^{3} Z + 6 X^{2} Y^{3} Z + 11 X^{2} Y^{2} Z^{2} + 6 X Y^{4} Z + 9 X Y^{3} Z^{2} + 18 X Y Z^{4} + 4 X^{2} Y^{2} Z + 12 X^{2} Y Z^{2} + 33 X Y^{3} Z + 24 X Y^{2} Z^{2} + 22 X Y^{2} Z + 66 X Y Z^{2}

Algorithm definition

The algorithm ⟨9×15×15:1236⟩ 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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