Description of fast matrix multiplication algorithm: ⟨22×23×23:6556⟩

Algorithm type

2370 X^{3} Y^{3} Z^{3} + 100 X^{3} Y^{2} Z^{3} + 820 X^{3} Y^{3} Z + 290 X^{3} Y^{2} Z^{2} + 670 X^{2} Y^{3} Z^{2} + 190 X^{2} Y^{2} Z^{3} + 52 X^{3} Y^{2} Z + 110 X^{3} Y Z^{2} + 72 X^{2} Y^{3} Z + 420 X^{2} Y^{2} Z^{2} + 10 X^{2} Y Z^{3} + 10 X^{3} Y Z + 176 X^{2} Y^{2} Z + 22 X^{2} Y Z^{2} + 50 X Y^{3} Z + 10 X Y^{2} Z^{2} + 850 X Y Z^{3} + 123 X^{2} Y Z + 58 X Y^{2} Z + 138 X Y Z^{2} + 100 X Y Z

Algorithm definition

The algorithm ⟨22×23×23:6556⟩ is the projection [[1, 0], [0]] of ⟨23×23×23:6724⟩.

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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