Description of fast matrix multiplication algorithm: ⟨15×24×28:5607⟩

Algorithm type

657 X^{4} Y^{4} Z^{4} + 6 X^{4} Y^{2} Z^{4} + 36 X^{2} Y^{4} Z^{4} + 804 X^{4} Y^{2} Z^{2} + 936 X^{2} Y^{4} Z^{2} + 342 X^{2} Y^{2} Z^{4} + 12 X^{4} Y Z^{2} + 36 X Y^{4} Z^{2} + 150 X^{4} Y Z + 414 X^{2} Y^{2} Z^{2} + 288 X Y^{4} Z + 414 X^{2} Y^{2} Z + 372 X^{2} Y Z^{2} + 324 X Y^{2} Z^{2} + 402 X^{2} Y Z + 342 X Y^{2} Z + 36 X Y Z^{2} + 36 X Y Z

Algorithm definition

The algorithm ⟨15×24×28:5607⟩ is serendipitous tensor product (⟨5×4×7:104⟩ - 6) ⊗ ⟨3×6×4:54⟩ +3⟨6×6×4:105⟩.

Algorithm description

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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