Description of fast matrix multiplication algorithm: ⟨10×18×28:3000⟩

Algorithm type

4 X^{6} Y^{4} Z^{4} + 236 X^{4} Y^{4} Z^{4} + 4 X^{3} Y^{6} Z^{2} + 8 X^{6} Y^{2} Z^{2} + 8 X^{4} Y^{4} Z^{2} + 4 X^{4} Y^{2} Z^{4} + 236 X^{2} Y^{6} Z^{2} + 8 X^{2} Y^{6} Z + 64 X^{4} Y^{2} Z^{2} + 108 X^{2} Y^{4} Z^{2} + 80 X^{2} Y^{2} Z^{4} + 108 X Y^{6} Z + 8 X^{3} Y^{3} Z + 12 X^{3} Y^{2} Z^{2} + 4 X^{2} Y^{3} Z^{2} + 64 X^{2} Y^{3} Z + 796 X^{2} Y^{2} Z^{2} + 80 X Y^{3} Z^{2} + 24 X^{3} Y Z + 24 X^{2} Y^{2} Z + 12 X^{2} Y Z^{2} + 88 X Y^{3} Z + 192 X^{2} Y Z + 324 X Y^{2} Z + 240 X Y Z^{2} + 264 X Y Z

Algorithm definition

The algorithm ⟨10×18×28:3000⟩ is the (Kronecker) tensor product of ⟨2×3×4:20⟩ with ⟨5×6×7:150⟩.

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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