Description of fast matrix multiplication algorithm: ⟨8×12×14:843⟩

Algorithm type

4 X^{4} Y^{6} Z^{4} + 16 X^{4} Y^{5} Z^{4} + 28 X^{4} Y^{4} Z^{4} + 16 X^{4} Y^{3} Z^{4} + 29 X^{2} Y^{6} Z^{2} + 18 X^{2} Y^{5} Z^{2} + 69 X^{2} Y^{4} Z^{2} + X Y^{6} Z + 104 X^{2} Y^{3} Z^{2} + X Y^{5} Z + 2 X^{2} Y^{3} Z + 121 X^{2} Y^{2} Z^{2} + 12 X Y^{4} Z + 9 X Y^{3} Z^{2} + 10 X^{2} Y^{2} Z + 131 X Y^{3} Z + 11 X Y^{2} Z^{2} + 6 X^{2} Y Z + 186 X Y^{2} Z + 7 X Y Z^{2} + 62 X Y Z

Algorithm definition

The algorithm ⟨8×12×14:843⟩ 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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