Description of fast matrix multiplication algorithm: ⟨22 × 22 × 22:5566⟩

Algorithm type

[[1, 1, 1]$88,[1, 1, 2]$66,[1, 1, 3]$902,[2, 2, 1]$44,[2, 2, 2]$242,[2, 2, 3]$220,[2, 3, 1]$22,[2, 3, 2]$220,[3, 2, 1]$22,[3, 2, 2]$220,[3, 3, 1]$880,[3, 3, 3]$2640]

Algorithm definition

The algorithm ⟨22 × 22 × 22:5566⟩ is taken from:

Optimization techniques for small matrix multiplication. Theoretical Computer Science, 412(22):2219--2236, May 2011. [ DOI ]

Algorithm description

maple tensor 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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