Description of fast matrix multiplication algorithm: ⟨7×14×15:952⟩

Algorithm type

4 X^{4} Y^{8} Z^{4} + 4 X^{4} Y^{8} Z^{3} + 3 X^{2} Y^{8} Z^{3} + 26 X^{4} Y^{4} Z^{4} + 11 X^{2} Y^{8} Z^{2} + 26 X^{4} Y^{4} Z^{3} + 2 X^{2} Y^{8} Z + 8 X^{2} Y^{6} Z^{3} + 4 X^{2} Y^{4} Z^{5} + 20 X^{2} Y^{6} Z^{2} + 4 X^{2} Y^{4} Z^{4} + X^{4} Y^{2} Z^{3} + 8 X^{2} Y^{6} Z + 8 X^{2} Y^{4} Z^{3} + 3 X^{2} Y^{3} Z^{4} + 26 X^{2} Y^{2} Z^{5} + X^{4} Y^{2} Z^{2} + 28 X^{2} Y^{4} Z^{2} + 2 X^{2} Y^{3} Z^{3} + 50 X^{2} Y^{2} Z^{4} + 10 X Y^{4} Z^{3} + 2 X^{4} Y^{2} Z + 2 X^{3} Y Z^{3} + 2 X^{2} Y^{4} Z + X^{2} Y^{3} Z^{2} + 63 X^{2} Y^{2} Z^{3} + 18 X Y^{4} Z^{2} + 32 X Y^{3} Z^{3} + 2 X Y Z^{5} + 6 X^{3} Y Z^{2} + 124 X^{2} Y^{2} Z^{2} + 8 X^{2} Y Z^{3} + 14 X Y^{4} Z + 33 X Y^{3} Z^{2} + 29 X Y^{2} Z^{3} + 2 X Y Z^{4} + 4 X^{3} Y Z + 20 X^{2} Y^{2} Z + 19 X^{2} Y Z^{2} + 28 X Y^{3} Z + 40 X Y^{2} Z^{2} + 58 X Y Z^{3} + 18 X^{2} Y Z + 39 X Y^{2} Z + 68 X Y Z^{2} + 71 X Y Z

Algorithm definition

The algorithm ⟨7×14×15:952⟩ 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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