Description of fast matrix multiplication algorithm: ⟨14×30×30:7170⟩

Algorithm type

3 X^{8} Y^{12} Z^{8} + 33 X^{8} Y^{8} Z^{8} + 9 X^{14} Y^{4} Z^{4} + 9 X^{4} Y^{4} Z^{14} + 3 X^{14} Y^{4} Z^{2} + 36 X^{6} Y^{8} Z^{6} + 36 X^{4} Y^{12} Z^{4} + 12 X^{4} Y^{8} Z^{8} + 3 X^{2} Y^{4} Z^{14} + 9 X^{4} Y^{12} Z^{2} + 6 X^{4} Y^{8} Z^{6} + 75 X^{4} Y^{8} Z^{4} + 6 X^{4} Y^{4} Z^{8} + 60 X^{2} Y^{12} Z^{2} + 6 X^{2} Y^{8} Z^{6} + 18 X^{2} Y^{12} Z + 15 X^{4} Y^{6} Z^{4} + 3 X^{4} Y^{4} Z^{6} + 72 X^{3} Y^{8} Z^{3} + 24 X^{2} Y^{8} Z^{4} + 18 X^{7} Y^{4} Z^{2} + 12 X^{2} Y^{8} Z^{3} + 18 X^{2} Y^{4} Z^{7} + 36 X^{8} Y^{2} Z^{2} + 6 X^{7} Y^{4} Z + 9 X^{6} Y^{4} Z^{2} + 459 X^{4} Y^{4} Z^{4} + 39 X^{2} Y^{8} Z^{2} + 12 X^{2} Y^{4} Z^{6} + 36 X^{2} Y^{2} Z^{8} + 12 X Y^{8} Z^{3} + 6 X Y^{4} Z^{7} + 18 X^{7} Y^{2} Z^{2} + 18 X^{2} Y^{2} Z^{7} + 6 X^{7} Y^{2} Z + 45 X^{6} Y^{2} Z^{2} + 27 X^{4} Y^{4} Z^{2} + 72 X^{3} Y^{4} Z^{3} + 204 X^{2} Y^{6} Z^{2} + 129 X^{2} Y^{4} Z^{4} + 45 X^{2} Y^{2} Z^{6} + 42 X Y^{8} Z + 6 X Y^{2} Z^{7} + 18 X^{2} Y^{6} Z + 18 X^{2} Y^{4} Z^{3} + 9 X^{4} Y^{2} Z^{2} + 18 X^{3} Y^{4} Z + 957 X^{2} Y^{4} Z^{2} + 57 X^{2} Y^{2} Z^{4} + 252 X Y^{6} Z + 36 X Y^{4} Z^{3} + 72 X^{4} Y^{2} Z + 54 X^{2} Y^{4} Z + 18 X^{2} Y^{3} Z^{2} + 6 X^{2} Y^{2} Z^{3} + 186 X Y^{4} Z^{2} + 72 X Y^{2} Z^{4} + 72 X^{4} Y Z + 108 X^{3} Y^{2} Z + 984 X^{2} Y^{2} Z^{2} + 348 X Y^{4} Z + 114 X Y^{2} Z^{3} + 72 X Y Z^{4} + 90 X^{3} Y Z + 72 X^{2} Y^{2} Z + 252 X Y^{3} Z + 276 X Y^{2} Z^{2} + 90 X Y Z^{3} + 18 X^{2} Y Z + 702 X Y^{2} Z + 90 X Y Z^{2} + 396 X Y Z

Algorithm definition

The algorithm ⟨14×30×30:7170⟩ is the (Kronecker) tensor product of ⟨7×10×10:478⟩ with ⟨2×3×3:15⟩.

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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