Description of fast matrix multiplication algorithm: ⟨3×11×30:738⟩

Algorithm type

160⁢X3⁢Y3⁢Z2+240⁢X3⁢Y3⁢Z+2⁢X3⁢Y⁢Z3+10⁢X2⁢Y3⁢Z2+102⁢X2⁢Y2⁢Z2+4⁢X⁢Y4⁢Z+2⁢X⁢Y2⁢Z3+6⁢X3⁢Y⁢Z+18⁢X⁢Y3⁢Z+26⁢X⁢Y2⁢Z2+34⁢X⁢Y⁢Z3+6⁢X2⁢Y⁢Z+60⁢X⁢Y2⁢Z+52⁢X⁢Y⁢Z2+16⁢X⁢Y⁢Z160X3Y3Z2240X3Y3Z2X3YZ310X2Y3Z2102X2Y2Z24XY4Z2XY2Z36X3YZ18XY3Z26XY2Z234XYZ36X2YZ60XY2Z52XYZ216XYZ160*X^3*Y^3*Z^2+240*X^3*Y^3*Z+2*X^3*Y*Z^3+10*X^2*Y^3*Z^2+102*X^2*Y^2*Z^2+4*X*Y^4*Z+2*X*Y^2*Z^3+6*X^3*Y*Z+18*X*Y^3*Z+26*X*Y^2*Z^2+34*X*Y*Z^3+6*X^2*Y*Z+60*X*Y^2*Z+52*X*Y*Z^2+16*X*Y*Z

Algorithm definition

The algorithm ⟨3×11×30:738⟩ is the (Kronecker) tensor product of ⟨3×11×15:369⟩ 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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