Description of fast matrix multiplication algorithm: ⟨4×8×12:272⟩

Algorithm type

8 X^{4} Y^{4} Z^{4} + 8 X^{2} Y^{6} Z^{2} + 80 X^{2} Y^{2} Z^{2} + 64 X Y^{3} Z + 24 X Y^{2} Z + 88 X Y Z

Algorithm definition

The algorithm ⟨4×8×12:272⟩ is serendipitous tensor product (⟨2×3×4:20⟩ - 8) ⊗ ⟨2×4×2:14⟩ + 4 ⟨2×4×4:26⟩.

Algorithm description

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