Description of fast matrix multiplication algorithm: ⟨29×29×29:12365⟩

Algorithm type

5512 X^{3} Y^{3} Z^{3} + 338 X^{3} Y^{2} Z^{3} + 1404 X^{3} Y^{3} Z + 689 X^{3} Y^{2} Z^{2} + 1027 X^{2} Y^{3} Z^{2} + 325 X^{2} Y^{2} Z^{3} + 95 X^{3} Y^{2} Z + 364 X^{3} Y Z^{2} + 81 X^{2} Y^{3} Z + 524 X^{2} Y^{2} Z^{2} + 13 X^{2} Y Z^{3} + 13 X^{3} Y Z + 100 X^{2} Y^{2} Z + 28 X^{2} Y Z^{2} + 27 X Y^{3} Z + 13 X Y^{2} Z^{2} + 1456 X Y Z^{3} + 44 X^{2} Y Z + 31 X Y^{2} Z + 167 X Y Z^{2} + 114 X Y Z

Algorithm definition

The algorithm ⟨29×29×29:12365⟩ is the projection [[1, 17], [17]] of ⟨30×30×30:12710⟩.

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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