Description of fast matrix multiplication algorithm: ⟨31×31×32:14940⟩

Algorithm type

7364 X^{3} Y^{3} Z^{3} + 756 X^{3} Y^{2} Z^{3} + 1686 X^{3} Y^{3} Z + 421 X^{3} Y^{2} Z^{2} + 1163 X^{2} Y^{3} Z^{2} + 407 X^{2} Y^{2} Z^{3} + 87 X^{3} Y^{2} Z + 14 X^{3} Y Z^{2} + 87 X^{2} Y^{3} Z + 634 X^{2} Y^{2} Z^{2} + 28 X^{2} Y Z^{3} + 136 X^{2} Y^{2} Z + 33 X^{2} Y Z^{2} + 28 X Y^{3} Z + 15 X Y^{2} Z^{2} + 1773 X Y Z^{3} + 2 X^{2} Y Z + 32 X Y^{2} Z + 147 X Y Z^{2} + 127 X Y Z

Algorithm definition

The algorithm ⟨31×31×32:14940⟩ is the projection [[1, 2], [0]] of ⟨32×32×32:15136⟩.

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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