Description of fast matrix multiplication algorithm: ⟨4×21×24:1320⟩

Algorithm type

6 X^{2} Y^{14} Z^{2} + 12 X^{2} Y^{12} Z^{2} + 12 X Y^{14} Z + 24 X^{4} Y^{6} Z^{4} + 6 X^{2} Y^{10} Z^{2} + 24 X Y^{12} Z + 48 X^{4} Y^{4} Z^{4} + 6 X^{2} Y^{8} Z^{2} + 12 X Y^{10} Z + 78 X^{2} Y^{6} Z^{2} + 12 X Y^{8} Z + 12 X Y^{7} Z + 126 X^{2} Y^{4} Z^{2} + 84 X Y^{6} Z + 48 X^{2} Y^{3} Z^{2} + 12 X Y^{5} Z + 198 X^{2} Y^{2} Z^{2} + 72 X Y^{4} Z + 60 X Y^{3} Z + 264 X Y^{2} Z + 204 X Y Z

Algorithm definition

The algorithm ⟨4×21×24:1320⟩ is the (Kronecker) tensor product of ⟨2×3×3:15⟩ with ⟨2×7×8:88⟩.

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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