Description of fast matrix multiplication algorithm: ⟨14×14×15:1798⟩

Algorithm type

X^{4} Y^{6} Z^{5} + 17 X^{4} Y^{4} Z^{6} + X^{4} Y^{6} Z^{3} + 65 X^{4} Y^{4} Z^{5} + 41 X^{4} Y^{4} Z^{4} + 2 X^{2} Y^{8} Z^{2} + X^{6} Y^{2} Z^{3} + 11 X^{4} Y^{4} Z^{3} + 2 X^{2} Y^{6} Z^{3} + 3 X^{6} Y^{2} Z^{2} + 4 X^{4} Y^{4} Z^{2} + 2 X^{2} Y^{3} Z^{5} + 89 X^{2} Y^{2} Z^{6} + 27 X^{4} Y^{2} Z^{3} + 2 X^{2} Y^{6} Z + 28 X^{2} Y^{4} Z^{3} + 152 X^{2} Y^{2} Z^{5} + 18 X^{4} Y^{2} Z^{2} + 26 X^{2} Y^{4} Z^{2} + 169 X^{2} Y^{2} Z^{4} + 19 X Y Z^{6} + 2 X^{3} Y Z^{3} + 6 X^{2} Y^{4} Z + 174 X^{2} Y^{2} Z^{3} + 4 X Y^{3} Z^{3} + 30 X Y Z^{5} + 2 X^{3} Y Z^{2} + 64 X^{2} Y^{2} Z^{2} + 100 X^{2} Y Z^{3} + 2 X Y^{4} Z + 104 X Y^{2} Z^{3} + 32 X Y Z^{4} + 10 X^{2} Y^{2} Z + 50 X^{2} Y Z^{2} + 47 X Y^{2} Z^{2} + 249 X Y Z^{3} + 23 X^{2} Y Z + 37 X Y^{2} Z + 118 X Y Z^{2} + 64 X Y Z

Algorithm definition

The algorithm ⟨14×14×15:1798⟩ 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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