Description of fast matrix multiplication algorithm: ⟨4×16×28:1196⟩

Algorithm type

60X4Y4Z4+12XY9Z+56X2Y6Z2+128X2Y4Z2+64XY6Z+232X2Y2Z2+64XY4Z+104XY3Z+256XY2Z+220XYZ60X4Y4Z412XY9Z56X2Y6Z2128X2Y4Z264XY6Z232X2Y2Z264XY4Z104XY3Z256XY2Z220XYZ60*X^4*Y^4*Z^4+12*X*Y^9*Z+56*X^2*Y^6*Z^2+128*X^2*Y^4*Z^2+64*X*Y^6*Z+232*X^2*Y^2*Z^2+64*X*Y^4*Z+104*X*Y^3*Z+256*X*Y^2*Z+220*X*Y*Z

Algorithm definition

The algorithm ⟨4×16×28:1196⟩ is the (Kronecker) tensor product of ⟨2×4×4:26⟩ with ⟨2×4×7:46⟩.

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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