Description of fast matrix multiplication algorithm: ⟨2×9×20:280⟩

Algorithm type

4X2Y6Z2+2XY8Z+12X2Y5Z2+16XY7Z+10X2Y4Z2+12XY6Z+20X2Y3Z2+20XY5Z+34X2Y2Z2+12XY4Z+20XY3Z+24XY2Z+94XYZ4X2Y6Z22XY8Z12X2Y5Z216XY7Z10X2Y4Z212XY6Z20X2Y3Z220XY5Z34X2Y2Z212XY4Z20XY3Z24XY2Z94XYZ4*X^2*Y^6*Z^2+2*X*Y^8*Z+12*X^2*Y^5*Z^2+16*X*Y^7*Z+10*X^2*Y^4*Z^2+12*X*Y^6*Z+20*X^2*Y^3*Z^2+20*X*Y^5*Z+34*X^2*Y^2*Z^2+12*X*Y^4*Z+20*X*Y^3*Z+24*X*Y^2*Z+94*X*Y*Z

Algorithm definition

The algorithm ⟨2×9×20:280⟩ is the (Kronecker) tensor product of ⟨2×9×10:140⟩ 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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