Description of fast matrix multiplication algorithm: ⟨12×24×27:4160⟩

Algorithm type

64 X^{9} Y^{12} Z^{6} + 96 X^{9} Y^{12} Z^{3} + 64 X^{3} Y^{12} Z^{2} + 512 X^{6} Y^{6} Z^{4} + 96 X^{3} Y^{12} Z + 768 X^{6} Y^{6} Z^{2} + 1024 X^{3} Y^{3} Z^{2} + 1536 X^{3} Y^{3} Z

Algorithm definition

The algorithm ⟨12×24×27:4160⟩ is the (Kronecker) tensor product of ⟨3×6×3:40⟩ with ⟨4×4×9:104⟩.

Algorithm description

maple tensor 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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