Description of fast matrix multiplication algorithm: ⟨12×14×29:2940⟩

Algorithm type

16 X^{4} Y^{9} Z^{6} + 24 X^{2} Y^{9} Z^{6} + 48 X^{2} Y^{3} Z^{12} + 240 X^{4} Y^{6} Z^{6} + 72 X Y^{3} Z^{12} + 128 X^{4} Y^{5} Z^{6} + 64 X^{8} Y^{3} Z^{3} + 96 X^{2} Y^{9} Z^{3} + 424 X^{2} Y^{6} Z^{6} + 64 X^{2} Y^{8} Z^{3} + 224 X^{2} Y^{5} Z^{6} + 144 X Y^{9} Z^{3} + 96 X Y^{6} Z^{6} + 4 X^{2} Y^{2} Z^{8} + 96 X Y^{8} Z^{3} + 48 X Y^{5} Z^{6} + 48 X^{2} Y^{6} Z^{3} + 48 X^{2} Y^{3} Z^{6} + 2 X^{2} Y^{2} Z^{7} + 96 X^{4} Y^{3} Z^{3} + 16 X^{2} Y^{6} Z^{2} + 16 X^{2} Y^{5} Z^{3} + 12 X^{2} Y^{4} Z^{4} + 72 X Y^{6} Z^{3} + 72 X Y^{3} Z^{6} + 8 X Y Z^{8} + 24 X Y^{5} Z^{3} + 4 X Y Z^{7} + 2 X^{2} Y^{5} Z + 192 X^{2} Y^{3} Z^{3} + 4 X^{2} Y^{2} Z^{4} + 2 X^{2} Y^{2} Z^{3} + 288 X Y^{3} Z^{3} + 24 X Y^{2} Z^{4} + 18 X^{2} Y^{2} Z^{2} + 32 X Y^{3} Z^{2} + 18 X Y Z^{4} + 36 X Y^{3} Z + 24 X Y^{2} Z^{2} + 6 X Y Z^{3} + 2 X Y^{2} Z + 46 X Y Z^{2} + 38 X Y Z

Algorithm definition

The algorithm ⟨12×14×29:2940⟩ is the projection [[0, 0], [30]] of ⟨12×14×30:2940⟩.

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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