Description of fast matrix multiplication algorithm: ⟨14×20×20:3302⟩

Algorithm type

6 X^{4} Y^{6} Z^{4} + 2 X^{2} Y^{9} Z^{2} + 282 X^{4} Y^{4} Z^{4} + 6 X Y^{9} Z + 120 X^{2} Y^{6} Z^{2} + 6 X^{2} Y^{4} Z^{4} + 6 X^{2} Y^{2} Z^{6} + 2 X Y^{6} Z^{2} + 120 X^{4} Y^{2} Z^{2} + 430 X^{2} Y^{4} Z^{2} + 114 X^{2} Y^{2} Z^{4} + 42 X Y^{6} Z + 10 X^{2} Y^{3} Z^{2} + 8 X Y^{4} Z^{2} + 2 X Y^{3} Z^{3} + 40 X^{2} Y^{3} Z + 626 X^{2} Y^{2} Z^{2} + 72 X Y^{4} Z + 38 X Y^{3} Z^{2} + 8 X Y^{2} Z^{3} + 160 X^{2} Y^{2} Z + 82 X Y^{3} Z + 162 X Y^{2} Z^{2} + 10 X Y Z^{3} + 200 X^{2} Y Z + 298 X Y^{2} Z + 190 X Y Z^{2} + 260 X Y Z

Algorithm definition

The algorithm ⟨14×20×20:3302⟩ is the (Kronecker) tensor product of ⟨2×4×4:26⟩ with ⟨7×5×5:127⟩.

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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