Description of fast matrix multiplication algorithm: ⟨10×10×22:1421⟩

Algorithm type

X^{6} Y^{4} Z^{2} + 72 X^{4} Y^{4} Z^{4} + X^{4} Y^{2} Z^{6} + X^{2} Y^{6} Z^{4} + 2 X^{6} Y^{2} Z^{2} + X^{4} Y^{4} Z^{2} + 2 X^{4} Y^{2} Z^{4} + 3 X^{2} Y^{6} Z^{2} + 2 X^{2} Y^{4} Z^{4} + 3 X^{2} Y^{2} Z^{6} + 23 X^{4} Y^{2} Z^{2} + 25 X^{2} Y^{4} Z^{2} + 24 X^{2} Y^{2} Z^{4} + 6 X^{3} Y^{2} Z + 475 X^{2} Y^{2} Z^{2} + 6 X^{2} Y Z^{3} + 6 X Y^{3} Z^{2} + 12 X^{3} Y Z + 6 X^{2} Y^{2} Z + 12 X^{2} Y Z^{2} + 18 X Y^{3} Z + 12 X Y^{2} Z^{2} + 18 X Y Z^{3} + 138 X^{2} Y Z + 150 X Y^{2} Z + 144 X Y Z^{2} + 258 X Y Z

Algorithm definition

The algorithm ⟨10×10×22:1421⟩ is the (Kronecker) tensor product of ⟨5×5×11:203⟩ with ⟨2×2×2:7⟩.

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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