Description of fast matrix multiplication algorithm: ⟨2×3×18:90⟩

Algorithm type

18X2Y2Z2+36XY2Z+36XYZ18X2Y2Z236XY2Z36XYZ18*X^2*Y^2*Z^2+36*X*Y^2*Z+36*X*Y*Z

Algorithm definition

The algorithm ⟨2×3×18:90⟩ is the (Kronecker) tensor product of ⟨1×1×2:2⟩ with ⟨2×3×9:45⟩.

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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