Description of fast matrix multiplication algorithm: ⟨6×24×24:2080⟩

Algorithm type

192X4Y6Z6+64X2Y9Z3+288X2Y6Z6+96XY9Z3+256X2Y6Z3+384XY6Z3+320X2Y3Z3+480XY3Z3192X4Y6Z664X2Y9Z3288X2Y6Z696XY9Z3256X2Y6Z3384XY6Z3320X2Y3Z3480XY3Z3192*X^4*Y^6*Z^6+64*X^2*Y^9*Z^3+288*X^2*Y^6*Z^6+96*X*Y^9*Z^3+256*X^2*Y^6*Z^3+384*X*Y^6*Z^3+320*X^2*Y^3*Z^3+480*X*Y^3*Z^3

Algorithm definition

The algorithm ⟨6×24×24:2080⟩ is the (Kronecker) tensor product of ⟨2×4×4:26⟩ with ⟨3×6×6:80⟩.

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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