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

Algorithm type

108X2Y2Z2+36XY3Z+54XY2Z+180XYZ108X2Y2Z236XY3Z54XY2Z180XYZ108*X^2*Y^2*Z^2+36*X*Y^3*Z+54*X*Y^2*Z+180*X*Y*Z

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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