Description of fast matrix multiplication algorithm: ⟨15×18×29:4576⟩

Algorithm type

32 X^{2} Y^{9} Z^{6} + 64 X^{2} Y^{3} Z^{12} + 544 X^{4} Y^{6} Z^{6} + 48 X Y^{9} Z^{6} + 96 X Y^{3} Z^{12} + 32 X^{6} Y^{3} Z^{6} + 160 X^{2} Y^{9} Z^{3} + 880 X^{2} Y^{6} Z^{6} + 32 X^{2} Y^{3} Z^{9} + 64 X^{4} Y^{3} Z^{6} + 240 X Y^{9} Z^{3} + 96 X Y^{6} Z^{6} + 48 X Y^{3} Z^{9} + 96 X^{6} Y^{3} Z^{3} + 48 X^{3} Y^{3} Z^{6} + 384 X^{2} Y^{3} Z^{6} + 36 X^{6} Y^{2} Z^{2} + 32 X^{4} Y^{3} Z^{3} + 432 X Y^{3} Z^{6} + 144 X^{3} Y^{3} Z^{3} + 18 X^{2} Y^{4} Z^{2} + 240 X^{2} Y^{3} Z^{3} + 72 X^{2} Y^{2} Z^{4} + 4 X Y^{6} Z + 8 X^{3} Y^{3} Z + 288 X Y^{3} Z^{3} + 24 X^{3} Y^{2} Z + 24 X^{3} Y Z^{2} + 18 X^{2} Y^{2} Z^{2} + 12 X Y^{4} Z + 16 X Y^{3} Z^{2} + 48 X Y Z^{4} + 52 X^{3} Y Z + 4 X Y^{3} Z + 60 X Y^{2} Z^{2} + 38 X Y^{2} Z + 116 X Y Z^{2} + 26 X Y Z

Algorithm definition

The algorithm ⟨15×18×29:4576⟩ is the (Kronecker) tensor product of ⟨1×2×1:2⟩ with ⟨15×9×29:2288⟩.

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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