Description of fast matrix multiplication algorithm: ⟨14×30×30:7026⟩

Algorithm type

2 X^{4} Y^{12} Z^{4} + 118 X^{4} Y^{8} Z^{4} + 8 X^{2} Y^{12} Z^{2} + 4 X^{4} Y^{8} Z^{2} + 11 X^{4} Y^{6} Z^{4} + 2 X^{2} Y^{8} Z^{4} + 8 X Y^{12} Z + 8 X^{2} Y^{9} Z^{2} + 649 X^{4} Y^{4} Z^{4} + 268 X^{2} Y^{8} Z^{2} + 8 X^{2} Y^{8} Z + 16 X Y^{9} Z + 4 X Y^{8} Z^{2} + 70 X^{4} Y^{4} Z^{2} + 8 X^{4} Y^{2} Z^{4} + 498 X^{2} Y^{6} Z^{2} + 43 X^{2} Y^{4} Z^{4} + 64 X Y^{8} Z + 5 X^{4} Y^{2} Z^{3} + 4 X^{3} Y^{2} Z^{4} + 16 X^{2} Y^{6} Z + 8 X Y^{6} Z^{2} + 273 X^{4} Y^{2} Z^{2} + 36 X^{3} Y^{2} Z^{3} + 446 X^{2} Y^{4} Z^{2} + 187 X^{2} Y^{2} Z^{4} + 136 X Y^{6} Z + 9 X^{4} Y Z^{2} + 29 X^{3} Y^{2} Z^{2} + 2 X^{3} Y Z^{3} + 104 X^{2} Y^{4} Z + 21 X^{2} Y^{3} Z^{2} + 28 X^{2} Y^{2} Z^{3} + 10 X^{2} Y Z^{4} + 68 X Y^{4} Z^{2} + 3 X^{4} Y Z + 6 X^{3} Y^{2} Z + 16 X^{3} Y Z^{2} + 194 X^{2} Y^{3} Z + 1326 X^{2} Y^{2} Z^{2} + 21 X^{2} Y Z^{3} + 132 X Y^{4} Z + 129 X Y^{3} Z^{2} + X Y^{2} Z^{3} + 4 X Y Z^{4} + 8 X^{3} Y Z + 157 X^{2} Y^{2} Z + 59 X^{2} Y Z^{2} + 172 X Y^{3} Z + 111 X Y^{2} Z^{2} + 16 X Y Z^{3} + 464 X^{2} Y Z + 382 X Y^{2} Z + 322 X Y Z^{2} + 332 X Y Z

Algorithm definition

The algorithm ⟨14×30×30:7026⟩ is serendipitous tensor product (⟨7×6×5:150⟩ - 12) ⊗ ⟨2×5×6:47⟩ +6⟨4×5×6:90⟩.

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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