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

Algorithm type

21⁢X2⁢Y2⁢Z2+12⁢X⁢Y3⁢Z+18⁢X⁢Y2⁢Z+54⁢X⁢Y⁢Z21X2Y2Z212XY3Z18XY2Z54XYZ21*X^2*Y^2*Z^2+12*X*Y^3*Z+18*X*Y^2*Z+54*X*Y*Z

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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