Description of fast matrix multiplication algorithm: ⟨10×14×28:2432⟩

Algorithm type

16 X^{4} Y^{12} Z^{8} + 32 X^{4} Y^{10} Z^{8} + 32 X^{4} Y^{8} Z^{8} + 24 X^{2} Y^{14} Z^{4} + 24 X^{4} Y^{6} Z^{8} + 8 X^{2} Y^{12} Z^{4} + 72 X^{4} Y^{4} Z^{8} + 136 X^{2} Y^{10} Z^{4} + 16 X^{2} Y^{6} Z^{8} + 32 X^{2} Y^{5} Z^{8} + 8 X^{4} Y^{2} Z^{8} + 48 X^{2} Y^{8} Z^{4} + 32 X^{2} Y^{4} Z^{8} + 24 X^{2} Y^{3} Z^{8} + 72 X^{2} Y^{6} Z^{4} + 72 X^{2} Y^{2} Z^{8} + 24 X Y^{7} Z^{4} + 8 X^{2} Y Z^{8} + 8 X Y^{6} Z^{4} + 32 X^{2} Y^{6} Z^{2} + 40 X^{2} Y^{4} Z^{4} + 136 X Y^{5} Z^{4} + 64 X^{2} Y^{5} Z^{2} + 48 X Y^{7} Z + 48 X Y^{4} Z^{4} + 64 X^{2} Y^{4} Z^{2} + 96 X^{2} Y^{2} Z^{4} + 16 X Y^{6} Z + 72 X Y^{3} Z^{4} + 48 X^{2} Y^{3} Z^{2} + 272 X Y^{5} Z + 40 X Y^{2} Z^{4} + 144 X^{2} Y^{2} Z^{2} + 96 X Y^{4} Z + 96 X Y Z^{4} + 16 X^{2} Y Z^{2} + 144 X Y^{3} Z + 80 X Y^{2} Z + 192 X Y Z

Algorithm definition

The algorithm ⟨10×14×28:2432⟩ is the (Kronecker) tensor product of ⟨2×7×7:76⟩ with ⟨5×2×4:32⟩.

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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