Description of fast matrix multiplication algorithm: ⟨11×15×29:2910⟩

Algorithm type

16 X^{4} Y^{9} Z^{6} + 24 X^{2} Y^{9} Z^{6} + 176 X^{4} Y^{6} Z^{6} + 48 X^{2} Y^{3} Z^{11} + 192 X^{4} Y^{6} Z^{5} + 72 X Y^{3} Z^{11} + 48 X^{8} Y^{3} Z^{3} + 160 X^{2} Y^{9} Z^{3} + 328 X^{2} Y^{6} Z^{6} + 320 X^{2} Y^{6} Z^{5} + 240 X Y^{9} Z^{3} + 96 X Y^{6} Z^{6} + 6 X^{8} Y^{2} Z^{2} + 4 X^{2} Y^{2} Z^{8} + 48 X Y^{6} Z^{5} + 48 X^{2} Y^{6} Z^{3} + 32 X^{2} Y^{3} Z^{6} + 2 X^{2} Y^{2} Z^{7} + 72 X^{4} Y^{3} Z^{3} + 16 X^{2} Y^{6} Z^{2} + 12 X^{2} Y^{4} Z^{4} + 16 X^{2} Y^{3} Z^{5} + 72 X Y^{6} Z^{3} + 48 X Y^{3} Z^{6} + 24 X Y^{3} Z^{5} + 2 X^{2} Y^{5} Z + 6 X^{2} Y^{4} Z^{2} + 176 X^{2} Y^{3} Z^{3} + 6 X^{2} Y^{2} Z^{4} + 32 X Y^{6} Z + 12 X^{4} Y^{2} Z + 2 X Y^{5} Z + 24 X Y^{4} Z^{2} + 264 X Y^{3} Z^{3} + 10 X Y^{2} Z^{4} + 12 X^{4} Y Z + 22 X^{2} Y^{2} Z^{2} + 12 X Y^{4} Z + 2 X Y^{2} Z^{3} + 12 X Y Z^{4} + 2 X^{2} Y^{2} Z + 34 X Y^{3} Z + 36 X Y^{2} Z^{2} + 60 X Y^{2} Z + 12 X Y Z^{2} + 48 X Y Z

Algorithm definition

The algorithm ⟨11×15×29:2910⟩ is the projection [[0, 0], [30]] of ⟨11×15×30:2910⟩.

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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