Description of fast matrix multiplication algorithm: ⟨8×18×29:2535⟩

Algorithm type

X^{4} Y^{12} Z^{4} + 2 X^{4} Y^{11} Z^{3} + 24 X^{4} Y^{8} Z^{4} + 2 X^{2} Y^{12} Z^{2} + 2 X^{4} Y^{8} Z^{3} + 2 X^{4} Y^{7} Z^{4} + 2 X^{2} Y^{11} Z^{2} + 4 X^{4} Y^{8} Z^{2} + 8 X^{4} Y^{7} Z^{3} + 2 X^{2} Y^{11} Z + 2 X^{4} Y^{7} Z^{2} + 186 X^{4} Y^{4} Z^{4} + 56 X^{2} Y^{8} Z^{2} + 2 X^{4} Y^{4} Z^{3} + 2 X^{4} Y^{3} Z^{4} + 12 X^{2} Y^{8} Z + 16 X^{2} Y^{7} Z^{2} + 8 X^{4} Y^{3} Z^{3} + 6 X^{2} Y^{7} Z + 132 X^{2} Y^{6} Z^{2} + 26 X^{2} Y^{4} Z^{4} + 38 X Y^{8} Z + 22 X^{2} Y^{5} Z^{2} + 6 X^{2} Y^{4} Z^{3} + 2 X^{2} Y^{3} Z^{4} + 8 X Y^{7} Z + 2 X^{2} Y^{5} Z + 260 X^{2} Y^{4} Z^{2} + 2 X^{2} Y^{3} Z^{3} + 188 X^{2} Y^{2} Z^{4} + 136 X Y^{6} Z + 12 X^{2} Y^{4} Z + 6 X^{2} Y^{3} Z^{2} + 6 X^{2} Y^{2} Z^{3} + 2 X^{2} Y Z^{4} + 18 X Y^{5} Z + 32 X Y^{4} Z^{2} + 4 X^{2} Y^{3} Z + 304 X^{2} Y^{2} Z^{2} + 2 X^{2} Y Z^{3} + 84 X Y^{4} Z + 140 X Y^{3} Z^{2} + 10 X^{2} Y^{2} Z + 10 X^{2} Y Z^{2} + 10 X Y^{3} Z + 80 X Y^{2} Z^{2} + 314 X Y^{2} Z + 312 X Y Z^{2} + 16 X Y Z

Algorithm definition

The algorithm ⟨8×18×29:2535⟩ is the projection [[0, 0], [30]] of ⟨8×18×30:2535⟩.

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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