Description of fast matrix multiplication algorithm: ⟨10×22×22:2968⟩

Algorithm type

16 X^{8} Y^{12} Z^{10} + 16 X^{8} Y^{10} Z^{10} + 24 X^{4} Y^{12} Z^{10} + 24 X^{4} Y^{10} Z^{10} + 7 X^{4} Y^{8} Z^{4} + 96 X^{4} Y^{6} Z^{5} + X^{4} Y^{8} Z^{2} + 4 X^{4} Y^{6} Z^{4} + 96 X^{4} Y^{5} Z^{5} + X^{2} Y^{10} Z^{2} + 144 X^{2} Y^{6} Z^{5} + 4 X^{6} Y^{4} Z^{2} + 4 X^{6} Y^{2} Z^{4} + 88 X^{4} Y^{4} Z^{4} + 4 X^{4} Y^{2} Z^{6} + 22 X^{2} Y^{8} Z^{2} + 144 X^{2} Y^{5} Z^{5} + 4 X^{2} Y^{4} Z^{6} + 15 X^{6} Y^{2} Z^{2} + 6 X^{4} Y^{4} Z^{2} + 36 X^{2} Y^{6} Z^{2} + 6 X^{2} Y^{4} Z^{4} + 15 X^{2} Y^{2} Z^{6} + 9 X^{4} Y^{2} Z^{2} + 83 X^{2} Y^{4} Z^{2} + 9 X^{2} Y^{2} Z^{4} + 6 X^{2} Y^{4} Z + 24 X^{2} Y^{3} Z^{2} + 6 X Y^{5} Z + 24 X^{3} Y^{2} Z + 24 X^{3} Y Z^{2} + 596 X^{2} Y^{2} Z^{2} + 24 X^{2} Y Z^{3} + 132 X Y^{4} Z + 24 X Y^{2} Z^{3} + 90 X^{3} Y Z + 36 X^{2} Y^{2} Z + 216 X Y^{3} Z + 36 X Y^{2} Z^{2} + 90 X Y Z^{3} + 54 X^{2} Y Z + 246 X Y^{2} Z + 54 X Y Z^{2} + 408 X Y Z

Algorithm definition

The algorithm ⟨10×22×22:2968⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨5×11×11:424⟩.

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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