Description of fast matrix multiplication algorithm: ⟨8×15×18:1350⟩

Algorithm type

90 X^{4} Y^{4} Z^{4} + 3 X^{6} Y^{2} Z^{2} + 6 X^{4} Y^{4} Z^{2} + 6 X^{4} Y^{2} Z^{4} + 3 X^{2} Y^{6} Z^{2} + 3 X^{2} Y^{4} Z^{4} + 21 X^{4} Y^{2} Z^{2} + 228 X^{2} Y^{4} Z^{2} + 42 X^{2} Y^{2} Z^{4} + 6 X Y^{6} Z + 12 X^{2} Y^{4} Z + 6 X Y^{4} Z^{2} + 6 X^{3} Y^{2} Z + 240 X^{2} Y^{2} Z^{2} + 96 X Y^{4} Z + 6 X^{3} Y Z + 54 X^{2} Y^{2} Z + 12 X^{2} Y Z^{2} + 6 X Y^{3} Z + 90 X Y^{2} Z^{2} + 42 X^{2} Y Z + 192 X Y^{2} Z + 84 X Y Z^{2} + 96 X Y Z

Algorithm definition

The algorithm ⟨8×15×18:1350⟩ is the (Kronecker) tensor product of ⟨2×3×3:15⟩ with ⟨4×5×6:90⟩.

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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