Description of fast matrix multiplication algorithm: ⟨2×13×32:640⟩

Algorithm type

2⁢X⁢Y9⁢Z+18⁢X⁢Y8⁢Z+12⁢X⁢Y7⁢Z+14⁢X2⁢Y4⁢Z2+22⁢X⁢Y6⁢Z+72⁢X2⁢Y3⁢Z2+16⁢X⁢Y5⁢Z+106⁢X2⁢Y2⁢Z2+6⁢X⁢Y4⁢Z+32⁢X⁢Y3⁢Z+80⁢X⁢Y2⁢Z+260⁢X⁢Y⁢Z2XY9Z18XY8Z12XY7Z14X2Y4Z222XY6Z72X2Y3Z216XY5Z106X2Y2Z26XY4Z32XY3Z80XY2Z260XYZ2*X*Y^9*Z+18*X*Y^8*Z+12*X*Y^7*Z+14*X^2*Y^4*Z^2+22*X*Y^6*Z+72*X^2*Y^3*Z^2+16*X*Y^5*Z+106*X^2*Y^2*Z^2+6*X*Y^4*Z+32*X*Y^3*Z+80*X*Y^2*Z+260*X*Y*Z

Algorithm definition

The algorithm ⟨2×13×32:640⟩ is the (Kronecker) tensor product of ⟨2×13×16:320⟩ 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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