Description of fast matrix multiplication algorithm: ⟨10×16×16:1586⟩

Algorithm type

36 X^{4} Y^{6} Z^{4} + 6 X^{4} Y^{4} Z^{6} + 6 X^{4} Y^{2} Z^{8} + 12 X^{2} Y^{9} Z^{2} + 12 X^{4} Y^{6} Z^{2} + 54 X^{4} Y^{4} Z^{4} + 6 X^{4} Y^{2} Z^{6} + 4 X^{2} Y^{9} Z + 12 X^{2} Y^{4} Z^{6} + 2 X^{2} Y^{6} Z^{3} + 16 X Y^{9} Z + 12 X^{6} Y^{2} Z^{2} + 24 X^{4} Y^{2} Z^{4} + 114 X^{2} Y^{6} Z^{2} + 24 X^{2} Y^{4} Z^{4} + 4 X Y^{6} Z^{3} + 16 X^{2} Y^{6} Z + 8 X^{2} Y^{4} Z^{3} + 2 X^{2} Y^{3} Z^{4} + 8 X Y^{6} Z^{2} + 12 X^{4} Y^{2} Z^{2} + 132 X^{2} Y^{4} Z^{2} + 2 X^{2} Y^{3} Z^{3} + 8 X^{2} Y^{2} Z^{4} + 84 X Y^{6} Z + 16 X Y^{4} Z^{3} + 4 X^{3} Y^{3} Z + 68 X^{2} Y^{3} Z^{2} + 18 X^{2} Y^{2} Z^{3} + 10 X^{2} Y Z^{4} + 32 X Y^{4} Z^{2} + 16 X^{3} Y^{2} Z + 24 X^{2} Y^{3} Z + 176 X^{2} Y^{2} Z^{2} + 10 X^{2} Y Z^{3} + 80 X Y^{4} Z + 20 X Y^{2} Z^{3} + 20 X^{3} Y Z + 16 X^{2} Y^{2} Z + 40 X^{2} Y Z^{2} + 98 X Y^{3} Z + 40 X Y^{2} Z^{2} + 20 X^{2} Y Z + 172 X Y^{2} Z + 90 X Y Z

Algorithm definition

The algorithm ⟨10×16×16:1586⟩ is the (Kronecker) tensor product of ⟨2×4×4:26⟩ with ⟨5×4×4:61⟩.

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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