Description of fast matrix multiplication algorithm: ⟨9×16×20:1786⟩

Algorithm type

130 X^{4} Y^{4} Z^{4} + 9 X^{9} Y Z + 4 X Y^{9} Z + 12 X Y Z^{9} + 69 X^{6} Y^{2} Z^{2} + 36 X^{4} Y^{4} Z^{2} + 46 X^{2} Y^{6} Z^{2} + 46 X^{2} Y^{4} Z^{4} + 79 X^{2} Y^{2} Z^{6} + 9 X^{6} Y^{2} Z + 2 X^{4} Y^{4} Z + 6 X^{2} Y^{6} Z + 8 X Y^{6} Z^{2} + 4 X Y^{4} Z^{4} + 14 X Y^{2} Z^{6} + 12 X^{6} Y Z + 43 X^{4} Y^{2} Z^{2} + 229 X^{2} Y^{4} Z^{2} + 73 X^{2} Y^{2} Z^{4} + 38 X Y^{6} Z + 22 X Y Z^{6} + 7 X^{4} Y^{2} Z + 12 X^{3} Y^{3} Z + 12 X^{3} Y^{2} Z^{2} + 21 X^{3} Y Z^{3} + 27 X^{2} Y^{4} Z + 11 X^{2} Y^{2} Z^{3} + 38 X Y^{4} Z^{2} + 14 X Y^{3} Z^{3} + 14 X Y^{2} Z^{4} + 3 X^{4} Y Z + 57 X^{3} Y^{2} Z + 21 X^{3} Y Z^{2} + 8 X^{2} Y^{3} Z + 110 X^{2} Y^{2} Z^{2} + 13 X^{2} Y Z^{3} + 88 X Y^{4} Z + 14 X Y^{3} Z^{2} + 68 X Y^{2} Z^{3} + 6 X Y Z^{4} + 24 X^{3} Y Z + 54 X^{2} Y^{2} Z + 9 X^{2} Y Z^{2} + 16 X Y^{3} Z + 90 X Y^{2} Z^{2} + 27 X Y Z^{3} + 14 X^{2} Y Z + 79 X Y^{2} Z + 23 X Y Z^{2} + 15 X Y Z

Algorithm definition

The algorithm ⟨9×16×20:1786⟩ is the (Kronecker) tensor product of ⟨3×4×4:38⟩ with ⟨3×4×5:47⟩.

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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