Description of fast matrix multiplication algorithm: ⟨3×7×30:480⟩

Algorithm type

80X2Y3Z3+10X2Y3Z2+120XY3Z3+70X2Y2Z2+30XY2Z+70XYZ2+100XYZ80X2Y3Z310X2Y3Z2120XY3Z370X2Y2Z230XY2Z70XYZ2100XYZ80*X^2*Y^3*Z^3+10*X^2*Y^3*Z^2+120*X*Y^3*Z^3+70*X^2*Y^2*Z^2+30*X*Y^2*Z+70*X*Y*Z^2+100*X*Y*Z

Algorithm definition

The algorithm ⟨3×7×30:480⟩ is the (Kronecker) tensor product of ⟨3×7×6:96⟩ with ⟨1×1×5:5⟩.

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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