Description of fast matrix multiplication algorithm: ⟨16×20×30:5488⟩

Algorithm type

40 X^{8} Y^{8} Z^{8} + 16 X^{4} Y^{12} Z^{4} + 40 X^{4} Y^{4} Z^{12} + 40 X^{4} Y^{8} Z^{4} + 4 X^{4} Y^{6} Z^{4} + 16 X^{2} Y^{6} Z^{6} + 16 X^{8} Y^{2} Z^{2} + 436 X^{4} Y^{4} Z^{4} + 40 X^{2} Y^{4} Z^{6} + 16 X^{2} Y^{2} Z^{8} + 32 X^{4} Y^{4} Z^{2} + 164 X^{2} Y^{6} Z^{2} + 304 X^{2} Y^{2} Z^{6} + 32 X Y Z^{8} + 8 X^{2} Y^{3} Z^{4} + 16 X^{4} Y^{2} Z^{2} + 296 X^{2} Y^{4} Z^{2} + 184 X^{2} Y^{2} Z^{4} + 32 X^{4} Y Z^{2} + 16 X^{2} Y^{3} Z^{2} + 96 X Y^{3} Z^{3} + 64 X^{4} Y Z + 1180 X^{2} Y^{2} Z^{2} + 104 X Y^{3} Z^{2} + 240 X Y^{2} Z^{3} + 64 X Y Z^{4} + 128 X^{2} Y^{2} Z + 32 X^{2} Y Z^{2} + 304 X Y^{3} Z + 32 X Y^{2} Z^{2} + 384 X Y Z^{3} + 64 X^{2} Y Z + 304 X Y^{2} Z + 120 X Y Z^{2} + 624 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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