Description of fast matrix multiplication algorithm: ⟨26×27×27:10036⟩

Algorithm type

4180 X^{3} Y^{3} Z^{3} + 144 X^{3} Y^{2} Z^{3} + 1176 X^{3} Y^{3} Z + 420 X^{3} Y^{2} Z^{2} + 972 X^{2} Y^{3} Z^{2} + 276 X^{2} Y^{2} Z^{3} + 62 X^{3} Y^{2} Z + 156 X^{3} Y Z^{2} + 86 X^{2} Y^{3} Z + 576 X^{2} Y^{2} Z^{2} + 12 X^{2} Y Z^{3} + 12 X^{3} Y Z + 234 X^{2} Y^{2} Z + 26 X^{2} Y Z^{2} + 60 X Y^{3} Z + 12 X Y^{2} Z^{2} + 1212 X Y Z^{3} + 171 X^{2} Y Z + 68 X Y^{2} Z + 164 X Y Z^{2} + 118 X Y Z

Algorithm definition

The algorithm ⟨26×27×27:10036⟩ is the projection [[1, 0], [0]] of ⟨27×27×27:10234⟩.

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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