Description of fast matrix multiplication algorithm: ⟨8×15×15:1140⟩

Algorithm type

3 X^{4} Y^{6} Z^{4} + 12 X^{8} Y^{2} Z^{2} + 69 X^{4} Y^{4} Z^{4} + 12 X^{2} Y^{2} Z^{8} + 45 X^{2} Y^{6} Z^{2} + 24 X^{2} Y^{4} Z^{4} + 150 X^{2} Y^{4} Z^{2} + 12 X^{2} Y^{2} Z^{4} + 78 X Y^{6} Z + 24 X^{4} Y^{2} Z + 6 X^{2} Y^{3} Z^{2} + 48 X Y^{4} Z^{2} + 24 X Y^{2} Z^{4} + 24 X^{4} Y Z + 183 X^{2} Y^{2} Z^{2} + 24 X Y^{4} Z + 24 X Y Z^{4} + 78 X Y^{3} Z + 72 X Y^{2} Z^{2} + 114 X Y^{2} Z + 24 X Y Z^{2} + 90 X Y Z

Algorithm definition

The algorithm ⟨8×15×15:1140⟩ is the (Kronecker) tensor product of ⟨2×3×3:15⟩ with ⟨4×5×5:76⟩.

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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