Description of fast matrix multiplication algorithm: ⟨3×4×12:108⟩

Algorithm type

36 X^{2} Y^{2} Z^{2} + 36 X Y^{2} Z + 36 X Y Z^{2}

Algorithm definition

The algorithm ⟨3×4×12:108⟩ is the (Kronecker) tensor product of ⟨3×4×6:54⟩ with ⟨1×1×2:2⟩.

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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