Description of fast matrix multiplication algorithm: ⟨7×14×16:1022⟩

Algorithm type

12 X^{4} Y^{6} Z^{4} + 50 X^{4} Y^{4} Z^{4} + 4 X^{2} Y^{8} Z^{2} + 12 X^{4} Y^{2} Z^{4} + 24 X^{2} Y^{6} Z^{2} + 8 X^{2} Y^{4} Z^{3} + 64 X^{2} Y^{4} Z^{2} + 24 X^{2} Y^{3} Z^{2} + 24 X^{2} Y^{2} Z^{3} + 10 X Y^{4} Z^{2} + 200 X^{2} Y^{2} Z^{2} + 46 X Y^{4} Z + 8 X Y^{3} Z^{2} + 24 X^{2} Y Z^{2} + 88 X Y^{3} Z + 4 X Y^{2} Z^{2} + 92 X Y^{2} Z + 50 X Y Z^{2} + 278 X Y Z

Algorithm definition

The algorithm ⟨7×14×16:1022⟩ 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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