Description of fast matrix multiplication algorithm: ⟨12×16×28:3024⟩

Algorithm type

96 X^{4} Y^{6} Z^{4} + 240 X^{4} Y^{4} Z^{4} + 32 X^{2} Y^{8} Z^{2} + 96 X^{4} Y^{2} Z^{4} + 192 X^{2} Y^{6} Z^{2} + 192 X^{2} Y^{4} Z^{2} + 192 X^{2} Y^{3} Z^{2} + 640 X^{2} Y^{2} Z^{2} + 64 X Y^{4} Z + 192 X^{2} Y Z^{2} + 384 X Y^{3} Z + 384 X Y^{2} Z + 320 X Y Z

Algorithm definition

The algorithm ⟨12×16×28:3024⟩ is the (Kronecker) tensor product of ⟨3×4×7:63⟩ with ⟨4×4×4:48⟩.

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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