Description of fast matrix multiplication algorithm: ⟨9×12×14:945⟩

Algorithm type

18 X^{4} Y^{6} Z^{4} + 45 X^{4} Y^{4} Z^{4} + 6 X^{2} Y^{8} Z^{2} + 18 X^{4} Y^{2} Z^{4} + 36 X^{2} Y^{6} Z^{2} + 36 X^{4} Y^{3} Z^{2} + 90 X^{4} Y^{2} Z^{2} + 36 X^{2} Y^{4} Z^{2} + 36 X^{4} Y Z^{2} + 12 X^{2} Y^{4} Z + 36 X^{2} Y^{3} Z^{2} + 72 X^{2} Y^{3} Z + 120 X^{2} Y^{2} Z^{2} + 12 X Y^{4} Z + 72 X^{2} Y^{2} Z + 36 X^{2} Y Z^{2} + 72 X Y^{3} Z + 60 X^{2} Y Z + 72 X Y^{2} Z + 60 X Y Z

Algorithm definition

The algorithm ⟨9×12×14:945⟩ is the (Kronecker) tensor product of ⟨3×3×2:15⟩ with ⟨3×4×7:63⟩.

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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