Description of fast matrix multiplication algorithm: ⟨4×6×8:140⟩

Algorithm type

4 X^{4} Y^{4} Z^{4} + 4 X^{2} Y^{6} Z^{2} + 36 X^{2} Y^{2} Z^{2} + 24 X Y^{3} Z + 72 X Y Z

Algorithm definition

The algorithm ⟨4×6×8:140⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨2×3×4:20⟩.

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 48 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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