Description of fast matrix multiplication algorithm: ⟨5×6×16:340⟩

Algorithm type

140⁢X2⁢Y2⁢Z2+6⁢X⁢Y3⁢Z+4⁢X⁢Y2⁢Z2+2⁢X⁢Y⁢Z3+30⁢X2⁢Y⁢Z+58⁢X⁢Y2⁢Z+48⁢X⁢Y⁢Z2+52⁢X⁢Y⁢Z140X2Y2Z26XY3Z4XY2Z22XYZ330X2YZ58XY2Z48XYZ252XYZ140*X^2*Y^2*Z^2+6*X*Y^3*Z+4*X*Y^2*Z^2+2*X*Y*Z^3+30*X^2*Y*Z+58*X*Y^2*Z+48*X*Y*Z^2+52*X*Y*Z

Algorithm definition

The algorithm ⟨5×6×16:340⟩ is the (Kronecker) tensor product of ⟨5×6×8:170⟩ 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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