Description of fast matrix multiplication algorithm: ⟨3×14×30:936⟩

Algorithm type

24X2Y3Z2+300X2Y2Z2+24XY4Z+48X3YZ+72X2Y2Z+48XY3Z+24XYZ3+168X2YZ+180XY2Z+24XYZ2+24XYZ24X2Y3Z2300X2Y2Z224XY4Z48X3YZ72X2Y2Z48XY3Z24XYZ3168X2YZ180XY2Z24XYZ224XYZ24*X^2*Y^3*Z^2+300*X^2*Y^2*Z^2+24*X*Y^4*Z+48*X^3*Y*Z+72*X^2*Y^2*Z+48*X*Y^3*Z+24*X*Y*Z^3+168*X^2*Y*Z+180*X*Y^2*Z+24*X*Y*Z^2+24*X*Y*Z

Algorithm definition

The algorithm ⟨3×14×30:936⟩ is the (Kronecker) tensor product of ⟨1×1×3:3⟩ with ⟨3×14×10:312⟩.

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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