Description of fast matrix multiplication algorithm: ⟨8×18×28:2480⟩

Algorithm type

8 X^{8} Y^{8} Z^{8} + 4 X^{2} Y^{18} Z^{2} + 8 X^{8} Y^{6} Z^{6} + 12 X^{4} Y^{12} Z^{4} + 8 X^{2} Y^{15} Z^{2} + 8 X^{4} Y^{10} Z^{4} + 4 X^{2} Y^{15} Z + 4 X^{4} Y^{10} Z^{2} + 8 X^{4} Y^{9} Z^{3} + 156 X^{4} Y^{4} Z^{4} + 48 X Y^{9} Z + 8 X^{4} Y^{3} Z^{3} + 8 X^{4} Y^{2} Z^{4} + 188 X^{2} Y^{6} Z^{2} + 8 X^{2} Y^{5} Z^{2} + 4 X^{4} Y^{2} Z^{2} + 4 X^{2} Y^{5} Z + 152 X^{2} Y^{4} Z^{2} + 104 X Y^{6} Z + 8 X^{2} Y^{3} Z^{2} + 4 X^{2} Y^{3} Z + 520 X^{2} Y^{2} Z^{2} + 48 X Y^{4} Z + 8 X^{2} Y Z^{2} + 328 X Y^{3} Z + 4 X^{2} Y Z + 312 X Y^{2} Z + 504 X Y Z

Algorithm definition

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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