Description of fast matrix multiplication algorithm: ⟨6×30×31:3380⟩

Algorithm type

320X4Y6Z6+128X2Y9Z3+480X2Y6Z6+192XY9Z3+320X2Y6Z3+480XY6Z3+512X2Y3Z3+768XY3Z3+180XYZ320X4Y6Z6128X2Y9Z3480X2Y6Z6192XY9Z3320X2Y6Z3480XY6Z3512X2Y3Z3768XY3Z3180XYZ320*X^4*Y^6*Z^6+128*X^2*Y^9*Z^3+480*X^2*Y^6*Z^6+192*X*Y^9*Z^3+320*X^2*Y^6*Z^3+480*X*Y^6*Z^3+512*X^2*Y^3*Z^3+768*X*Y^3*Z^3+180*X*Y*Z

Algorithm definition

The algorithm ⟨6×30×31:3380⟩ is the (Kronecker) tensor product of ⟨6×15×31:1690⟩ with ⟨1×2×1:2⟩.

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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