Description of fast matrix multiplication algorithm: ⟨2×5×28:220⟩

Algorithm type

8⁢X2⁢Y5⁢Z2+8⁢X2⁢Y4⁢Z2+4⁢X2⁢Y3⁢Z2+24⁢X⁢Y5⁢Z+40⁢X2⁢Y2⁢Z2+28⁢X⁢Y4⁢Z+4⁢X2⁢Y⁢Z2+16⁢X⁢Y3⁢Z+24⁢X⁢Y2⁢Z+8⁢X⁢Y⁢Z2+56⁢X⁢Y⁢Z8X2Y5Z28X2Y4Z24X2Y3Z224XY5Z40X2Y2Z228XY4Z4X2YZ216XY3Z24XY2Z8XYZ256XYZ8*X^2*Y^5*Z^2+8*X^2*Y^4*Z^2+4*X^2*Y^3*Z^2+24*X*Y^5*Z+40*X^2*Y^2*Z^2+28*X*Y^4*Z+4*X^2*Y*Z^2+16*X*Y^3*Z+24*X*Y^2*Z+8*X*Y*Z^2+56*X*Y*Z

Algorithm definition

The algorithm ⟨2×5×28:220⟩ is the (Kronecker) tensor product of ⟨2×5×14:110⟩ 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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