Description of fast matrix multiplication algorithm: ⟨28×28×28:10556⟩

Algorithm type

5824 X^{3} Y^{3} Z^{3} + 1456 X^{3} Y^{3} Z + 364 X^{3} Y^{2} Z^{2} + 364 X^{2} Y^{3} Z^{2} + 364 X^{2} Y^{2} Z^{3} + 28 X^{3} Y^{2} Z + 28 X^{2} Y^{3} Z + 392 X^{2} Y^{2} Z^{2} + 56 X^{2} Y^{2} Z + 1484 X Y Z^{3} + 84 X Y Z^{2} + 112 X Y Z

Algorithm definition

The algorithm ⟨28×28×28:10556⟩ 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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