Description of fast matrix multiplication algorithm: ⟨8×14×24:1712⟩

Algorithm type

8 X^{2} Y^{14} Z^{2} + 16 X^{2} Y^{12} Z^{2} + 32 X^{4} Y^{6} Z^{4} + 8 X^{2} Y^{10} Z^{2} + 76 X^{4} Y^{4} Z^{4} + 8 X^{2} Y^{8} Z^{2} + 4 X^{4} Y^{3} Z^{4} + 32 X^{2} Y^{3} Z^{6} + 8 X Y^{7} Z^{3} + 8 X^{3} Y^{3} Z^{4} + 40 X^{2} Y^{6} Z^{2} + 64 X^{2} Y^{2} Z^{6} + 16 X Y^{6} Z^{3} + 8 X^{2} Y^{5} Z^{2} + 8 X Y^{7} Z + 8 X Y^{5} Z^{3} + 56 X^{2} Y^{4} Z^{2} + 40 X^{2} Y^{2} Z^{4} + 16 X Y^{6} Z + 8 X Y^{4} Z^{3} + 40 X^{2} Y^{3} Z^{2} + 8 X Y^{5} Z + 40 X Y^{3} Z^{3} + 312 X^{2} Y^{2} Z^{2} + 8 X Y^{4} Z + 32 X Y^{3} Z^{2} + 40 X Y^{2} Z^{3} + 8 X^{2} Y Z^{2} + 88 X Y^{3} Z + 32 X Y^{2} Z^{2} + 136 X Y Z^{3} + 104 X Y^{2} Z + 88 X Y Z^{2} + 312 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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