Description of fast matrix multiplication algorithm: ⟨9×21×29:3160⟩

Algorithm type

32 X^{4} Y^{9} Z^{6} + 32 X^{2} Y^{12} Z^{3} + 48 X^{2} Y^{9} Z^{6} + 384 X^{4} Y^{6} Z^{6} + 48 X Y^{12} Z^{3} + 64 X^{2} Y^{9} Z^{3} + 576 X^{2} Y^{6} Z^{6} + 32 X^{2} Y^{3} Z^{9} + 96 X^{4} Y^{6} Z^{3} + 96 X Y^{9} Z^{3} + 48 X Y^{3} Z^{9} + 112 X^{6} Y^{3} Z^{3} + 368 X^{2} Y^{6} Z^{3} + 32 X^{2} Y^{3} Z^{6} + 192 X^{4} Y^{3} Z^{3} + 336 X Y^{6} Z^{3} + 48 X Y^{3} Z^{6} + 168 X^{3} Y^{3} Z^{3} + 352 X^{2} Y^{3} Z^{3} + 96 X Y^{3} Z^{3}

Algorithm definition

The algorithm ⟨9×21×29:3160⟩ is the projection [[0, 0], [30]] of ⟨9×21×30:3160⟩.

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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