Description of fast matrix multiplication algorithm: ⟨4×4×9:104⟩

Algorithm type

4 X^{3} Y^{4} Z^{3} + 32 X^{2} Y^{2} Z^{2} + 4 X Y^{4} Z + 64 X Y Z

Algorithm definition

The algorithm ⟨4×4×9:104⟩ is taken from:

Alexey Vladimirovich Smirnov. Bilinear algorithm for matrix multiplication <4x4x9:104>. An irreducibly irrational solution of the Brent system? October 2022. []

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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