Description of fast matrix multiplication algorithm: ⟨8×13×24:1568⟩

Algorithm type

8 X^{4} Y^{6} Z^{4} + 32 X^{4} Y^{5} Z^{4} + 58 X^{4} Y^{4} Z^{4} + 2 X^{2} Y^{9} Z + 2 X^{2} Y^{8} Z^{2} + 20 X^{4} Y^{3} Z^{4} + 2 X^{2} Y^{6} Z^{3} + 2 X^{2} Y^{3} Z^{6} + 6 X^{6} Y^{2} Z^{2} + 6 X^{4} Y^{2} Z^{4} + 4 X^{2} Y^{7} Z + 18 X^{2} Y^{6} Z^{2} + 8 X^{2} Y^{5} Z^{3} + 2 X^{2} Y^{4} Z^{4} + 2 X^{2} Y^{2} Z^{6} + 4 X Y^{7} Z^{2} + 4 X^{2} Y^{6} Z + 146 X^{2} Y^{5} Z^{2} + 10 X^{2} Y^{4} Z^{3} + 4 X^{2} Y^{3} Z^{4} + 4 X^{2} Y Z^{6} + 2 X^{4} Y^{2} Z^{2} + 2 X^{2} Y^{5} Z + 112 X^{2} Y^{4} Z^{2} + 6 X^{2} Y^{3} Z^{3} + 6 X^{2} Y^{2} Z^{4} + 8 X Y^{5} Z^{2} + 4 X^{3} Y^{3} Z + 10 X^{2} Y^{4} Z + 166 X^{2} Y^{3} Z^{2} + 6 X^{2} Y^{2} Z^{3} + 8 X Y^{4} Z^{2} + 20 X Y^{3} Z^{3} + 4 X^{3} Y^{2} Z + 4 X^{2} Y^{3} Z + 110 X^{2} Y^{2} Z^{2} + 26 X Y^{3} Z^{2} + 8 X Y^{2} Z^{3} + 6 X^{2} Y^{2} Z + 18 X^{2} Y Z^{2} + 372 X Y^{3} Z + 4 X Y^{2} Z^{2} + 4 X Y Z^{3} + 204 X Y^{2} Z + 10 X Y Z^{2} + 104 X Y Z

Algorithm definition

The algorithm ⟨8×13×24:1568⟩ is the (Kronecker) tensor product of ⟨8×13×12:784⟩ with ⟨1×1×2:2⟩.

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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