Description of fast matrix multiplication algorithm: ⟨9×12×15:996⟩

Algorithm type

48 X^{4} Y^{9} Z^{6} + 8 X^{2} Y^{9} Z^{6} + 32 X^{4} Y^{6} Z^{6} + 44 X^{2} Y^{8} Z^{6} + 20 X^{2} Y^{7} Z^{6} + 96 X^{2} Y^{9} Z^{3} + 8 X^{2} Y^{6} Z^{6} + 96 X^{4} Y^{6} Z^{3} + 36 X^{2} Y^{5} Z^{6} + 12 X Y^{9} Z^{3} + 16 X^{6} Y^{3} Z^{3} + 16 X^{4} Y^{4} Z^{4} + 4 X^{2} Y^{5} Z^{5} + 54 X Y^{8} Z^{3} + 38 X^{2} Y^{6} Z^{3} + 62 X Y^{7} Z^{3} + 8 X^{6} Y^{2} Z^{2} + 88 X^{2} Y^{5} Z^{3} + 12 X^{2} Y^{2} Z^{6} + 16 X Y^{6} Z^{3} + 24 X^{3} Y^{3} Z^{3} + 18 X^{2} Y^{4} Z^{3} + 6 X^{6} Y Z + 12 X^{4} Y^{2} Z^{2} + 20 X^{2} Y^{4} Z^{2} + 12 X^{2} Y^{2} Z^{4} + 9 X Y Z^{6} + 4 X^{3} Y^{2} Z + 6 X^{3} Y Z^{2} + 44 X^{2} Y^{2} Z^{2} + 9 X^{2} Y Z^{3} + 6 X Y^{4} Z + 6 X Y^{2} Z^{3} + 22 X^{3} Y Z + 9 X^{2} Y^{2} Z + 9 X Y^{2} Z^{2} + 33 X Y Z^{3} + 33 X Y^{2} Z

Algorithm definition

The algorithm ⟨9×12×15:996⟩ 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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