Description of fast matrix multiplication algorithm: ⟨2 × 3 × 21:105⟩

Algorithm type

[[1, 1, 1]$54,[1, 2, 1]$18,[1, 3, 1]$12,[2, 2, 2]$21]

Algorithm definition

The algorithm ⟨2 × 3 × 21:105⟩ is the (Kronecker) tensor product of ⟨1 × 1 × 3:3⟩ with ⟨2 × 3 × 7:35⟩.

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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