Description of fast matrix multiplication algorithm: ⟨16×27×32:7728⟩

Algorithm type

64 X^{8} Y^{8} Z^{8} + 64 X^{2} Y^{18} Z^{2} + 64 X^{12} Y^{4} Z^{4} + 128 X^{4} Y^{12} Z^{4} + 128 X^{6} Y^{6} Z^{2} + 64 X^{3} Y^{9} Z + 32 X^{6} Y^{4} Z^{2} + 640 X^{4} Y^{4} Z^{4} + 288 X Y^{9} Z + 192 X^{6} Y^{2} Z^{2} + 16 X^{4} Y^{4} Z^{2} + 64 X^{4} Y^{2} Z^{4} + 32 X^{3} Y^{6} Z + 928 X^{2} Y^{6} Z^{2} + 64 X^{2} Y^{4} Z^{4} + 64 X^{2} Y^{2} Z^{6} + 16 X^{2} Y^{6} Z + 64 X Y^{6} Z^{2} + 16 X^{4} Y^{2} Z^{2} + 144 X^{2} Y^{4} Z^{2} + 48 X^{2} Y^{3} Z^{3} + 352 X^{2} Y^{2} Z^{4} + 64 X Y^{6} Z + 192 X^{3} Y^{3} Z + 208 X^{2} Y^{3} Z^{2} + 64 X Y^{3} Z^{3} + 32 X^{3} Y^{2} Z + 16 X^{2} Y^{3} Z + 912 X^{2} Y^{2} Z^{2} + 16 X Y^{4} Z + 368 X Y^{3} Z^{2} + 32 X Y^{2} Z^{3} + 128 X^{3} Y Z + 16 X^{2} Y^{2} Z + 64 X^{2} Y Z^{2} + 576 X Y^{3} Z + 288 X Y^{2} Z^{2} + 160 X Y Z^{3} + 16 X^{2} Y Z + 352 X Y^{2} Z + 400 X Y Z^{2} + 352 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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