Description of fast matrix multiplication algorithm: ⟨6×24×27:2360⟩

Algorithm type

208X6Y6Z4+312X6Y6Z2+112X3Y9Z2+168X3Y9Z+192X3Y6Z2+288X3Y6Z+432X3Y3Z2+648X3Y3Z208X6Y6Z4312X6Y6Z2112X3Y9Z2168X3Y9Z192X3Y6Z2288X3Y6Z432X3Y3Z2648X3Y3Z208*X^6*Y^6*Z^4+312*X^6*Y^6*Z^2+112*X^3*Y^9*Z^2+168*X^3*Y^9*Z+192*X^3*Y^6*Z^2+288*X^3*Y^6*Z+432*X^3*Y^3*Z^2+648*X^3*Y^3*Z

Algorithm definition

The algorithm ⟨6×24×27:2360⟩ is the (Kronecker) tensor product of ⟨2×4×9:59⟩ with ⟨3×6×3:40⟩.

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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