Description of fast matrix multiplication algorithm: ⟨9×14×20:1575⟩

Algorithm type

30 X^{4} Y^{6} Z^{4} + 75 X^{4} Y^{4} Z^{4} + 10 X^{2} Y^{8} Z^{2} + 12 X^{2} Y^{3} Z^{6} + 30 X^{4} Y^{2} Z^{4} + 60 X^{2} Y^{6} Z^{2} + 30 X^{2} Y^{2} Z^{6} + 36 X^{2} Y^{3} Z^{4} + 12 X^{2} Y Z^{6} + 60 X^{2} Y^{4} Z^{2} + 90 X^{2} Y^{2} Z^{4} + 4 X Y^{4} Z^{3} + 72 X^{2} Y^{3} Z^{2} + 36 X^{2} Y Z^{4} + 12 X Y^{4} Z^{2} + 24 X Y^{3} Z^{3} + 230 X^{2} Y^{2} Z^{2} + 24 X Y^{4} Z + 72 X Y^{3} Z^{2} + 24 X Y^{2} Z^{3} + 72 X^{2} Y Z^{2} + 144 X Y^{3} Z + 72 X Y^{2} Z^{2} + 20 X Y Z^{3} + 144 X Y^{2} Z + 60 X Y Z^{2} + 120 X Y Z

Algorithm definition

The algorithm ⟨9×14×20:1575⟩ is the (Kronecker) tensor product of ⟨3×2×5:25⟩ with ⟨3×7×4:63⟩.

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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