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

Algorithm type

4X2Y6Z2+8X2Y5Z2+10X2Y4Z2+12XY6Z+2X2Y4Z+2X2Y3Z2+22XY5Z+50X2Y2Z2+26XY4Z+26XY3Z+22XY2Z+4XYZ2+74XYZ4X2Y6Z28X2Y5Z210X2Y4Z212XY6Z2X2Y4Z2X2Y3Z222XY5Z50X2Y2Z226XY4Z26XY3Z22XY2Z4XYZ274XYZ4*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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