Description of fast matrix multiplication algorithm: ⟨9×14×25:1964⟩

Algorithm type

10 X^{4} Y^{6} Z^{4} + 120 X^{4} Y^{4} Z^{4} + 10 X^{2} Y^{8} Z^{2} + 3 X^{6} Y^{3} Z^{2} + 4 X^{2} Y^{3} Z^{6} + 4 X Y Z^{9} + X^{7} Y^{2} Z + 33 X^{6} Y^{2} Z^{2} + 30 X^{4} Y^{4} Z^{2} + 20 X^{2} Y^{6} Z^{2} + 58 X^{2} Y^{2} Z^{6} + 7 X^{7} Y Z + 4 X^{6} Y^{2} Z + 2 X^{5} Y^{2} Z^{2} + 12 X^{2} Y^{3} Z^{4} + 7 X^{6} Y Z + X^{4} Y^{3} Z + 75 X^{4} Y^{2} Z^{2} + X^{3} Y^{4} Z + 70 X^{2} Y^{4} Z^{2} + 154 X^{2} Y^{2} Z^{4} + 4 X Y^{4} Z^{3} + 16 X Y Z^{6} + 2 X^{5} Y Z + 6 X^{4} Y^{2} Z + 5 X^{3} Y^{3} Z + 8 X^{3} Y Z^{3} + 26 X^{2} Y^{3} Z^{2} + 12 X^{2} Y^{2} Z^{3} + 12 X Y^{4} Z^{2} + 8 X Y^{3} Z^{3} + 5 X^{4} Y Z + 7 X^{3} Y^{2} Z + 24 X^{3} Y Z^{2} + 335 X^{2} Y^{2} Z^{2} + 24 X^{2} Y Z^{3} + 24 X Y^{4} Z + 24 X Y^{3} Z^{2} + 28 X Y^{2} Z^{3} + 12 X Y Z^{4} + 54 X^{3} Y Z + 72 X^{2} Y^{2} Z + 72 X^{2} Y Z^{2} + 55 X Y^{3} Z + 86 X Y^{2} Z^{2} + 28 X Y Z^{3} + 146 X^{2} Y Z + 176 X Y^{2} Z + 37 X Y Z^{2} + 30 X Y Z

Algorithm definition

The algorithm ⟨9×14×25:1964⟩ is serendipitous tensor product (⟨3×7×5:79⟩ - 5) ⊗ ⟨3×2×5:25⟩ +⟨3×10×5:114⟩.

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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