Description of fast matrix multiplication algorithm: ⟨10×21×28:3520⟩

Algorithm type

4 X^{6} Y^{4} Z^{4} + 40 X^{4} Y^{6} Z^{4} + 4 X^{2} Y^{2} Z^{10} + 40 X^{2} Y^{9} Z^{2} + 232 X^{4} Y^{4} Z^{4} + 12 X^{2} Y^{2} Z^{8} + 4 X^{3} Y^{6} Z^{2} + 32 X Y^{9} Z + 16 X^{6} Y^{2} Z^{2} + 4 X^{4} Y^{4} Z^{2} + 264 X^{2} Y^{6} Z^{2} + 28 X^{2} Y^{4} Z^{4} + 4 X^{2} Y^{2} Z^{6} + 4 X^{2} Y^{6} Z + 28 X Y^{6} Z^{2} + 4 X Y^{3} Z^{5} + 76 X^{4} Y^{2} Z^{2} + 100 X^{2} Y^{4} Z^{2} + 60 X^{2} Y^{2} Z^{4} + 100 X Y^{6} Z + 12 X Y^{3} Z^{4} + 16 X^{3} Y^{3} Z + 12 X^{3} Y^{2} Z^{2} + 120 X^{2} Y^{3} Z^{2} + 4 X Y^{3} Z^{3} + 12 X Y Z^{5} + 76 X^{2} Y^{3} Z + 788 X^{2} Y^{2} Z^{2} + 60 X Y^{3} Z^{2} + 36 X Y Z^{4} + 48 X^{3} Y Z + 12 X^{2} Y^{2} Z + 188 X Y^{3} Z + 84 X Y^{2} Z^{2} + 12 X Y Z^{3} + 228 X^{2} Y Z + 300 X Y^{2} Z + 180 X Y Z^{2} + 276 X Y Z

Algorithm definition

The algorithm ⟨10×21×28:3520⟩ is the (Kronecker) tensor product of ⟨2×3×4:20⟩ with ⟨5×7×7:176⟩.

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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