Description of fast matrix multiplication algorithm: ⟨3×12×16:428⟩

Algorithm type

128 X^{3} Y^{3} Z^{2} + 192 X^{3} Y^{3} Z + 36 X^{2} Y^{2} Z^{2} + 36 X^{2} Y Z + 36 X Y^{2} Z

Algorithm definition

The algorithm ⟨3×12×16:428⟩ is the (Kronecker) tensor product of ⟨3×6×16:214⟩ with ⟨1×2×1:2⟩.

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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