Description of fast matrix multiplication algorithm: ⟨2×6×28:262⟩

Algorithm type

4⁢X2⁢Y6⁢Z2+8⁢X2⁢Y5⁢Z2+10⁢X2⁢Y4⁢Z2+12⁢X⁢Y6⁢Z+2⁢X2⁢Y4⁢Z+2⁢X2⁢Y3⁢Z2+22⁢X⁢Y5⁢Z+50⁢X2⁢Y2⁢Z2+26⁢X⁢Y4⁢Z+26⁢X⁢Y3⁢Z+22⁢X⁢Y2⁢Z+4⁢X⁢Y⁢Z2+74⁢X⁢Y⁢Z4X2Y6Z28X2Y5Z210X2Y4Z212XY6Z2X2Y4Z2X2Y3Z222XY5Z50X2Y2Z226XY4Z26XY3Z22XY2Z4XYZ274XYZ4*X^2*Y^6*Z^2+8*X^2*Y^5*Z^2+10*X^2*Y^4*Z^2+12*X*Y^6*Z+2*X^2*Y^4*Z+2*X^2*Y^3*Z^2+22*X*Y^5*Z+50*X^2*Y^2*Z^2+26*X*Y^4*Z+26*X*Y^3*Z+22*X*Y^2*Z+4*X*Y*Z^2+74*X*Y*Z

Algorithm definition

The algorithm ⟨2×6×28:262⟩ is the (Kronecker) tensor product of ⟨2×6×14:131⟩ 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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