Description of fast matrix multiplication algorithm: ⟨3×5×18:210⟩

Algorithm type

48X2Y3Z3+72XY3Z3+18X2Y2Z2+36XYZ2+36XYZ48X2Y3Z372XY3Z318X2Y2Z236XYZ236XYZ48*X^2*Y^3*Z^3+72*X*Y^3*Z^3+18*X^2*Y^2*Z^2+36*X*Y*Z^2+36*X*Y*Z

Algorithm definition

The algorithm ⟨3×5×18:210⟩ is the (Kronecker) tensor product of ⟨3×5×6:70⟩ 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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