Description of fast matrix multiplication algorithm: ⟨3×10×24:544⟩

Algorithm type

128X2Y3Z3+8X2Y3Z2+192XY3Z3+56X2Y2Z2+24XY2Z+56XYZ2+80XYZ128X2Y3Z38X2Y3Z2192XY3Z356X2Y2Z224XY2Z56XYZ280XYZ128*X^2*Y^3*Z^3+8*X^2*Y^3*Z^2+192*X*Y^3*Z^3+56*X^2*Y^2*Z^2+24*X*Y^2*Z+56*X*Y*Z^2+80*X*Y*Z

Algorithm definition

The algorithm ⟨3×10×24:544⟩ is the (Kronecker) tensor product of ⟨1×1×2:2⟩ with ⟨3×10×12:272⟩.

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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