Description of fast matrix multiplication algorithm: ⟨3×5×12:136⟩

Algorithm type

4 X^{2} Y^{3} Z^{2} + 4 X^{3} Y Z^{2} + 36 X^{2} Y^{2} Z^{2} + 4 X^{2} Y Z^{3} + 4 X Y^{4} Z + 6 X Y^{2} Z^{3} + 12 X^{3} Y Z + 8 X^{2} Y^{2} Z + 10 X Y^{3} Z + 8 X Y Z^{3} + 16 X^{2} Y Z + 16 X Y^{2} Z + 8 X Y Z

Algorithm definition

The algorithm ⟨3×5×12:136⟩ is the (Kronecker) tensor product of ⟨3×5×6:68⟩ with ⟨1×1×2:2⟩.

Algorithm description

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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