Description of fast matrix multiplication algorithm: ⟨10×20×20:2418⟩

Algorithm type

6 X^{6} Y^{4} Z^{2} + 192 X^{4} Y^{4} Z^{4} + 6 X^{4} Y^{2} Z^{6} + 6 X^{2} Y^{6} Z^{4} + 2 X Y^{9} Z^{2} + 6 X^{4} Y^{4} Z^{2} + 6 X^{4} Y^{2} Z^{4} + 2 X^{3} Y^{6} Z + 64 X^{2} Y^{6} Z^{2} + 6 X^{2} Y^{4} Z^{4} + 2 X^{2} Y^{6} Z + 10 X Y^{6} Z^{2} + 66 X^{4} Y^{2} Z^{2} + 8 X^{3} Y^{4} Z + 322 X^{2} Y^{4} Z^{2} + 2 X^{2} Y^{3} Z^{3} + 66 X^{2} Y^{2} Z^{4} + 22 X Y^{6} Z + 8 X^{2} Y^{4} Z + 2 X^{2} Y^{3} Z^{2} + 8 X^{2} Y^{2} Z^{3} + 8 X Y^{4} Z^{2} + 10 X^{3} Y^{2} Z + 22 X^{2} Y^{3} Z + 460 X^{2} Y^{2} Z^{2} + 10 X^{2} Y Z^{3} + 88 X Y^{4} Z + 32 X Y^{3} Z^{2} + 98 X^{2} Y^{2} Z + 10 X^{2} Y Z^{2} + 44 X Y^{3} Z + 98 X Y^{2} Z^{2} + 110 X^{2} Y Z + 286 X Y^{2} Z + 110 X Y Z^{2} + 220 X Y Z

Algorithm definition

The algorithm ⟨10×20×20:2418⟩ is the (Kronecker) tensor product of ⟨2×4×4:26⟩ with ⟨5×5×5:93⟩.

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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