Description of fast matrix multiplication algorithm: ⟨14×16×18:2456⟩

Algorithm type

8 X^{8} Y^{8} Z^{8} + 8 X^{6} Y^{8} Z^{6} + 8 X^{4} Y^{12} Z^{4} + 4 X^{4} Y^{4} Z^{12} + 8 X^{4} Y^{4} Z^{10} + 8 X^{3} Y^{12} Z^{3} + 4 X^{2} Y^{4} Z^{10} + 4 X^{2} Y^{6} Z^{6} + 8 X^{2} Y^{6} Z^{5} + 148 X^{4} Y^{4} Z^{4} + 4 X Y^{6} Z^{5} + 4 X^{2} Y^{4} Z^{5} + 4 X^{2} Y^{3} Z^{6} + 4 X^{6} Y^{2} Z^{2} + 8 X^{4} Y^{4} Z^{2} + 8 X^{4} Y^{2} Z^{4} + 28 X^{3} Y^{4} Z^{3} + 128 X^{2} Y^{6} Z^{2} + 4 X^{2} Y^{3} Z^{5} + 52 X^{2} Y^{2} Z^{6} + 4 X^{5} Y^{2} Z^{2} + 8 X^{2} Y^{6} Z + 8 X^{2} Y^{2} Z^{5} + 4 X Y^{6} Z^{2} + 16 X^{4} Y^{2} Z^{2} + 8 X^{3} Y^{4} Z + 16 X^{2} Y^{4} Z^{2} + 4 X^{2} Y^{3} Z^{3} + 72 X^{2} Y^{2} Z^{4} + 4 X Y^{6} Z + 4 X Y^{2} Z^{5} + 20 X^{3} Y^{2} Z^{2} + 52 X^{2} Y^{3} Z^{2} + 8 X Y^{5} Z + 48 X Y^{3} Z^{3} + 8 X^{3} Y^{2} Z + 12 X^{2} Y^{3} Z + 492 X^{2} Y^{2} Z^{2} + 16 X Y^{4} Z + 76 X Y^{3} Z^{2} + 24 X Y^{2} Z^{3} + 48 X^{3} Y Z + 80 X^{2} Y^{2} Z + 16 X^{2} Y Z^{2} + 268 X Y^{3} Z + 16 X Y^{2} Z^{2} + 72 X Y Z^{3} + 144 X^{2} Y Z + 104 X Y^{2} Z + 72 X Y Z^{2} + 280 X Y Z

Algorithm definition

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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