Description of fast matrix multiplication algorithm: ⟨3×12×31:832⟩

Algorithm type

288X3Y3Z2+432X3Y3Z+4X2Y3Z2+28X2Y2Z2+28X2YZ+12XY2Z+40XYZ288X3Y3Z2432X3Y3Z4X2Y3Z228X2Y2Z228X2YZ12XY2Z40XYZ288*X^3*Y^3*Z^2+432*X^3*Y^3*Z+4*X^2*Y^3*Z^2+28*X^2*Y^2*Z^2+28*X^2*Y*Z+12*X*Y^2*Z+40*X*Y*Z

Algorithm definition

The algorithm ⟨3×12×31:832⟩ is the (Kronecker) tensor product of ⟨3×6×31:416⟩ with ⟨1×2×1:2⟩.

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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