Description of fast matrix multiplication algorithm: ⟨3×13×24:704⟩

Algorithm type

192X2Y3Z3+8X2Y3Z2+288XY3Z3+56X2Y2Z2+24XY2Z+56XYZ2+80XYZ192X2Y3Z38X2Y3Z2288XY3Z356X2Y2Z224XY2Z56XYZ280XYZ192*X^2*Y^3*Z^3+8*X^2*Y^3*Z^2+288*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 ⟨3×13×24:704⟩ is the (Kronecker) tensor product of ⟨3×13×12:352⟩ with ⟨1×1×2:2⟩.

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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