Description of fast matrix multiplication algorithm: 〈3×3×4:29〉
The algorithm 〈3×3×4:29〉 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 symmetriesThe following group of 2 isotropies acts as a permutation group on algorithm tensor representation:
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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