Description of fast matrix multiplication algorithm: ⟨3×8×10:180⟩

Algorithm type

2 X^{3} Y Z^{3} + 6 X^{2} Y^{3} Z^{2} + 2 X^{3} Y^{2} Z + 54 X^{2} Y^{2} Z^{2} + 20 X^{3} Y Z + 14 X^{2} Y^{2} Z + 10 X Y^{3} Z + 2 X Y Z^{3} + 28 X^{2} Y Z + 32 X Y^{2} Z + 2 X Y Z^{2} + 8 X Y Z

Algorithm definition

The algorithm ⟨3×8×10:180⟩ is the (Kronecker) tensor product of ⟨1×1×2:2⟩ with ⟨3×8×5:90⟩.

Algorithm description

maple tensor representation (compressed by bzip2);
maple LRP representation (compressed by bzip2);
maple evaluation scheme (compressed by bzip2).

Algorithm symmetries

The following group of 2 isotropies acts as a permutation group on algorithm tensor representation:

maple tensor representation (compressed by bzip2);

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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