Description of fast matrix multiplication algorithm: ⟨10×12×28:2079⟩

Algorithm type

16 X^{8} Y^{12} Z^{10} + 24 X^{4} Y^{12} Z^{10} + 2 X^{8} Y^{4} Z^{4} + 48 X^{4} Y^{6} Z^{6} + 96 X^{4} Y^{6} Z^{5} + 72 X^{2} Y^{6} Z^{6} + 144 X^{2} Y^{6} Z^{5} + 4 X^{8} Y^{2} Z^{2} + 29 X^{4} Y^{4} Z^{4} + 8 X^{6} Y^{2} Z^{2} + 16 X^{4} Y^{2} Z^{2} + 36 X^{2} Y^{4} Z^{2} + 288 X^{2} Y^{3} Z^{3} + 432 X Y^{3} Z^{3} + 24 X^{4} Y Z + 228 X^{2} Y^{2} Z^{2} + 48 X^{3} Y Z + 24 X^{2} Y Z + 216 X Y^{2} Z + 324 X Y Z

Algorithm definition

The algorithm ⟨10×12×28:2079⟩ is the (Kronecker) tensor product of ⟨5×6×14:297⟩ with ⟨2×2×2:7⟩.

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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