Description of fast matrix multiplication algorithm: ⟨6×9×18:600⟩

Algorithm type

48X4Y6Z6+72X2Y6Z6+96X2Y6Z3+144XY6Z3+96X2Y3Z3+144XY3Z348X4Y6Z672X2Y6Z696X2Y6Z3144XY6Z396X2Y3Z3144XY3Z348*X^4*Y^6*Z^6+72*X^2*Y^6*Z^6+96*X^2*Y^6*Z^3+144*X*Y^6*Z^3+96*X^2*Y^3*Z^3+144*X*Y^3*Z^3

Algorithm definition

The algorithm ⟨6×9×18:600⟩ is the (Kronecker) tensor product of ⟨2×3×3:15⟩ with ⟨3×3×6:40⟩.

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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