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

# Algorithm type

$2{X}^{3}{Y}^{3}{Z}^{4}+{X}^{2}{Y}^{3}{Z}^{2}+18{X}^{2}{Y}^{2}{Z}^{2}+XY{Z}^{4}+3X{Y}^{3}Z+3X{Y}^{2}Z+45XYZ$# 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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