Description of fast matrix multiplication algorithm: ⟨4×4×6:73⟩

Algorithm type

2X3Y3Z4+X2Y3Z2+18X2Y2Z2+XYZ4+3XY3Z+3XY2Z+45XYZ2X3Y3Z4X2Y3Z218X2Y2Z2XYZ43XY3Z3XY2Z45XYZ2*X^3*Y^3*Z^4+X^2*Y^3*Z^2+18*X^2*Y^2*Z^2+X*Y*Z^4+3*X*Y^3*Z+3*X*Y^2*Z+45*X*Y*Z

Algorithm definition

The algorithm ⟨4×4×6:73⟩ is taken from:

Alexey Vladimirovich Smirnov. Bilinear algorithm <4x4x6:73> for matrix multiplication. January 2023. []

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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