Description of fast matrix multiplication algorithm: ⟨4×4×27:312⟩

Algorithm type

12⁢X3⁢Y4⁢Z3+96⁢X2⁢Y2⁢Z2+12⁢X⁢Y4⁢Z+192⁢X⁢Y⁢Z12X3Y4Z396X2Y2Z212XY4Z192XYZ12*X^3*Y^4*Z^3+96*X^2*Y^2*Z^2+12*X*Y^4*Z+192*X*Y*Z

Algorithm definition

The algorithm ⟨4×4×27:312⟩ is the (Kronecker) tensor product of ⟨4×4×9:104⟩ with ⟨1×1×3:3⟩.

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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