Description of fast matrix multiplication algorithm: ⟨5×14×29:1391⟩

Algorithm type

96 X^{4} Y^{6} Z^{5} + 64 X^{4} Y^{5} Z^{5} + 16 X^{2} Y^{9} Z^{3} + 16 X^{2} Y^{8} Z^{3} + 144 X^{2} Y^{6} Z^{5} + 24 X Y^{9} Z^{3} + 96 X^{2} Y^{5} Z^{5} + 24 X Y^{8} Z^{3} + 48 X^{2} Y^{6} Z^{3} + 12 X^{2} Y^{6} Z^{2} + 16 X^{2} Y^{5} Z^{3} + 72 X Y^{6} Z^{3} + 24 X Y^{5} Z^{3} + 31 X^{2} Y^{4} Z^{2} + 64 X^{2} Y^{3} Z^{3} + 24 X Y^{6} Z + 96 X Y^{3} Z^{3} + 2 X^{2} Y^{3} Z + 70 X^{2} Y^{2} Z^{2} + 44 X Y^{4} Z + 2 X^{2} Y Z^{2} + 26 X Y^{3} Z + 12 X Y^{2} Z^{2} + 172 X Y^{2} Z + 46 X Y Z^{2} + 146 X Y Z

Algorithm definition

The algorithm ⟨5×14×29:1391⟩ is the projection [[0, 0], [30]] of ⟨5×14×30:1391⟩.

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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