Description of fast matrix multiplication algorithm: ⟨2×11×30:510⟩

Algorithm type

4⁢X⁢Y8⁢Z+8⁢X⁢Y7⁢Z+20⁢X⁢Y6⁢Z+20⁢X2⁢Y3⁢Z2+22⁢X⁢Y5⁢Z+130⁢X2⁢Y2⁢Z2+6⁢X⁢Y4⁢Z+4⁢X⁢Y3⁢Z+48⁢X⁢Y2⁢Z+248⁢X⁢Y⁢Z4XY8Z8XY7Z20XY6Z20X2Y3Z222XY5Z130X2Y2Z26XY4Z4XY3Z48XY2Z248XYZ4*X*Y^8*Z+8*X*Y^7*Z+20*X*Y^6*Z+20*X^2*Y^3*Z^2+22*X*Y^5*Z+130*X^2*Y^2*Z^2+6*X*Y^4*Z+4*X*Y^3*Z+48*X*Y^2*Z+248*X*Y*Z

Algorithm definition

The algorithm ⟨2×11×30:510⟩ is the (Kronecker) tensor product of ⟨2×11×15:255⟩ 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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