Description of fast matrix multiplication algorithm: ⟨15×18×27:4200⟩

Algorithm type

16 X^{9} Y^{3} Z^{4} + 480 X^{6} Y^{6} Z^{4} + 16 X^{3} Y^{9} Z^{4} + 168 X^{9} Y^{3} Z^{2} + 720 X^{6} Y^{6} Z^{2} + 152 X^{3} Y^{9} Z^{2} + 32 X^{3} Y^{3} Z^{8} + 216 X^{9} Y^{3} Z + 64 X^{6} Y^{3} Z^{4} + 192 X^{3} Y^{9} Z + 48 X^{3} Y^{6} Z^{4} + 48 X^{3} Y^{3} Z^{6} + 208 X^{6} Y^{3} Z^{2} + 136 X^{3} Y^{6} Z^{2} + 168 X^{6} Y^{3} Z + 96 X^{3} Y^{6} Z + 384 X^{3} Y^{3} Z^{4} + 72 X^{3} Y^{3} Z^{3} + 696 X^{3} Y^{3} Z^{2} + 288 X^{3} Y^{3} Z

Algorithm definition

The algorithm ⟨15×18×27:4200⟩ is the (Kronecker) tensor product of ⟨5×3×9:105⟩ with ⟨3×6×3:40⟩.

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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