Description of fast matrix multiplication algorithm: ⟨3×3×6:40⟩

Algorithm type

16X2Y3Z3+24XY3Z316X2Y3Z324XY3Z316*X^2*Y^3*Z^3+24*X*Y^3*Z^3

Algorithm definition

The algorithm ⟨3×3×6:40⟩ is taken from:

Alexey Vladimirovich Smirnov. The bilinear complexity and practical algorithms for matrix multiplication. Computational Mathematics and Mathematical Physics, 53(2):1781--1795, December 2013. [DOI]

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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