Description of fast matrix multiplication algorithm: ⟨3×7×14:219⟩

Algorithm type

8 X^{2} Y^{3} Z^{2} + 3 X Y^{5} Z + 2 X Y^{4} Z^{2} + X Y^{3} Z^{3} + X^{2} Y^{3} Z + 67 X^{2} Y^{2} Z^{2} + 13 X Y^{4} Z + X Y^{3} Z^{2} + 2 X Y^{2} Z^{3} + 10 X^{3} Y Z + 19 X^{2} Y^{2} Z + X^{2} Y Z^{2} + 12 X Y^{3} Z + 7 X Y^{2} Z^{2} + 8 X Y Z^{3} + 35 X^{2} Y Z + 25 X Y^{2} Z + 4 X Y Z

Algorithm definition

The algorithm ⟨3×7×14:219⟩ is taken from:

Andrew I. Perminov. FastMatrixMultiplication, GitHub, February 2026. [ GitHub repository ]

Algorithm description

maple tensor representation (compressed by bzip2);
maple LRP representation (compressed by bzip2);
maple evaluation scheme (compressed by bzip2).

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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