Description of fast matrix multiplication algorithm: ⟨2×5×26:204⟩

Algorithm type

4⁢X2⁢Y5⁢Z2+8⁢X2⁢Y4⁢Z2+2⁢X2⁢Y3⁢Z2+12⁢X⁢Y5⁢Z+42⁢X2⁢Y2⁢Z2+22⁢X⁢Y4⁢Z+2⁢X2⁢Y⁢Z2+24⁢X⁢Y3⁢Z+20⁢X⁢Y2⁢Z+4⁢X⁢Y⁢Z2+64⁢X⁢Y⁢Z4X2Y5Z28X2Y4Z22X2Y3Z212XY5Z42X2Y2Z222XY4Z2X2YZ224XY3Z20XY2Z4XYZ264XYZ4*X^2*Y^5*Z^2+8*X^2*Y^4*Z^2+2*X^2*Y^3*Z^2+12*X*Y^5*Z+42*X^2*Y^2*Z^2+22*X*Y^4*Z+2*X^2*Y*Z^2+24*X*Y^3*Z+20*X*Y^2*Z+4*X*Y*Z^2+64*X*Y*Z

Algorithm definition

The algorithm ⟨2×5×26:204⟩ is the (Kronecker) tensor product of ⟨1×1×2:2⟩ with ⟨2×5×13:102⟩.

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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