Description of fast matrix multiplication algorithm: ⟨4×4×18:208⟩

Algorithm type

8X3Y4Z3+64X2Y2Z2+8XY4Z+128XYZ8X3Y4Z364X2Y2Z28XY4Z128XYZ8*X^3*Y^4*Z^3+64*X^2*Y^2*Z^2+8*X*Y^4*Z+128*X*Y*Z

Algorithm definition

The algorithm ⟨4×4×18:208⟩ is the (Kronecker) tensor product of ⟨4×4×9:104⟩ 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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