Description of fast matrix multiplication algorithm: ⟨13×14×14:1614⟩

Algorithm type

72 X^{4} Y^{4} Z^{4} + 12 X^{4} Y^{4} Z^{3} + 20 X^{4} Y^{3} Z^{4} + 12 X^{4} Y^{3} Z^{3} + 12 X^{3} Y^{4} Z^{3} + 4 X^{3} Y^{3} Z^{3} + 31 X^{4} Y^{2} Z^{2} + 29 X^{2} Y^{4} Z^{2} + 188 X^{2} Y^{2} Z^{4} + 6 X^{4} Y Z^{2} + 6 X^{3} Y^{2} Z^{2} + 4 X^{2} Y^{4} Z + 10 X^{2} Y^{3} Z^{2} + 58 X^{2} Y^{2} Z^{3} + 4 X^{2} Y^{3} Z + 298 X^{2} Y^{2} Z^{2} + 40 X Y Z^{4} + 14 X^{2} Y^{2} Z + 82 X^{2} Y Z^{2} + 82 X Y^{2} Z^{2} + 8 X Y Z^{3} + 80 X^{2} Y Z + 88 X Y^{2} Z + 236 X Y Z^{2} + 218 X Y Z

Algorithm definition

The algorithm ⟨13×14×14:1614⟩ 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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