Description of fast matrix multiplication algorithm: ⟨3×11×28:690⟩

Algorithm type

40X2Y3Z2+6XY5Z+4XY4Z2+2XY3Z3+2X2Y3Z+194X2Y2Z2+34XY4Z+2XY3Z2+4XY2Z3+20X3YZ+38X2Y2Z+26X2YZ2+72XY3Z+14XY2Z2+16XYZ3+70X2YZ+98XY2Z+48XYZ40X2Y3Z26XY5Z4XY4Z22XY3Z32X2Y3Z194X2Y2Z234XY4Z2XY3Z24XY2Z320X3YZ38X2Y2Z26X2YZ272XY3Z14XY2Z216XYZ370X2YZ98XY2Z48XYZ40*X^2*Y^3*Z^2+6*X*Y^5*Z+4*X*Y^4*Z^2+2*X*Y^3*Z^3+2*X^2*Y^3*Z+194*X^2*Y^2*Z^2+34*X*Y^4*Z+2*X*Y^3*Z^2+4*X*Y^2*Z^3+20*X^3*Y*Z+38*X^2*Y^2*Z+26*X^2*Y*Z^2+72*X*Y^3*Z+14*X*Y^2*Z^2+16*X*Y*Z^3+70*X^2*Y*Z+98*X*Y^2*Z+48*X*Y*Z

Algorithm definition

The algorithm ⟨3×11×28:690⟩ is the (Kronecker) tensor product of ⟨3×11×14:345⟩ 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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