Description of fast matrix multiplication algorithm: ⟨3×8×28:504⟩

Algorithm type

48X2Y3Z2+120X2Y2Z2+16XY4Z+48X2YZ2+96XY3Z+96XY2Z+80XYZ48X2Y3Z2120X2Y2Z216XY4Z48X2YZ296XY3Z96XY2Z80XYZ48*X^2*Y^3*Z^2+120*X^2*Y^2*Z^2+16*X*Y^4*Z+48*X^2*Y*Z^2+96*X*Y^3*Z+96*X*Y^2*Z+80*X*Y*Z

Algorithm definition

The algorithm ⟨3×8×28:504⟩ is the (Kronecker) tensor product of ⟨1×1×2:2⟩ with ⟨3×8×14:252⟩.

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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