Description of fast matrix multiplication algorithm: ⟨2 × 9 × 27:378⟩

Algorithm type

[[1, 1, 1]$180,[1, 2, 1]$54,[1, 3, 1]$36,[2, 2, 2]$108]

Algorithm definition

The algorithm ⟨2 × 9 × 27:378⟩ is the (Kronecker) tensor product of ⟨1 × 1 × 3:3⟩ with ⟨2 × 9 × 9:126⟩.

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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