Description of fast matrix multiplication algorithm: ⟨2×9×28:392⟩

Algorithm type

2⁢X⁢Y7⁢Z+8⁢X⁢Y6⁢Z+4⁢X2⁢Y3⁢Z2+26⁢X⁢Y5⁢Z+108⁢X2⁢Y2⁢Z2+18⁢X⁢Y4⁢Z+2⁢X⁢Y3⁢Z+12⁢X⁢Y2⁢Z+212⁢X⁢Y⁢Z2XY7Z8XY6Z4X2Y3Z226XY5Z108X2Y2Z218XY4Z2XY3Z12XY2Z212XYZ2*X*Y^7*Z+8*X*Y^6*Z+4*X^2*Y^3*Z^2+26*X*Y^5*Z+108*X^2*Y^2*Z^2+18*X*Y^4*Z+2*X*Y^3*Z+12*X*Y^2*Z+212*X*Y*Z

Algorithm definition

The algorithm ⟨2×9×28:392⟩ is the (Kronecker) tensor product of ⟨2×9×14:196⟩ 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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