Description of fast matrix multiplication algorithm: ⟨8×15×29:2170⟩

Algorithm type

32 X^{2} Y^{12} Z^{3} + 112 X^{4} Y^{6} Z^{6} + 16 X^{2} Y^{6} Z^{8} + 48 X Y^{12} Z^{3} + 16 X^{6} Y^{6} Z^{3} + 160 X^{4} Y^{6} Z^{5} + 24 X Y^{6} Z^{8} + 168 X^{2} Y^{6} Z^{6} + 32 X^{4} Y^{6} Z^{3} + 272 X^{2} Y^{6} Z^{5} + 48 X^{2} Y^{3} Z^{8} + 48 X^{6} Y^{3} Z^{3} + 24 X^{3} Y^{6} Z^{3} + 48 X Y^{6} Z^{5} + 72 X Y^{3} Z^{8} + 144 X^{2} Y^{6} Z^{3} + 16 X^{2} Y^{3} Z^{6} + 12 X^{6} Y^{2} Z^{2} + 16 X^{4} Y^{3} Z^{3} + 6 X^{2} Y^{6} Z^{2} + 10 X^{2} Y^{2} Z^{6} + 144 X Y^{6} Z^{3} + 24 X Y^{3} Z^{6} + 72 X^{3} Y^{3} Z^{3} + 40 X^{2} Y^{4} Z^{2} + 88 X^{2} Y^{3} Z^{3} + 2 X^{2} Y Z^{5} + 12 X Y^{6} Z + 96 X Y^{3} Z^{3} + 24 X^{3} Y^{2} Z + 2 X^{2} Y^{3} Z + 16 X^{2} Y^{2} Z^{2} + 80 X Y^{4} Z + 20 X Y^{2} Z^{3} + 24 X^{3} Y Z + 2 X^{2} Y Z^{2} + 14 X Y^{3} Z + 24 X Y Z^{3} + 114 X Y^{2} Z + 2 X Y Z^{2} + 40 X Y Z

Algorithm definition

The algorithm ⟨8×15×29:2170⟩ is the projection [[0, 0], [30]] of ⟨8×15×30:2170⟩.

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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