Description of fast matrix multiplication algorithm: ⟨23×23×23:6724⟩

Algorithm type

2460 X^{3} Y^{3} Z^{3} + 200 X^{3} Y^{2} Z^{3} + 840 X^{3} Y^{3} Z + 410 X^{3} Y^{2} Z^{2} + 610 X^{2} Y^{3} Z^{2} + 190 X^{2} Y^{2} Z^{3} + 74 X^{3} Y^{2} Z + 220 X^{3} Y Z^{2} + 63 X^{2} Y^{3} Z + 344 X^{2} Y^{2} Z^{2} + 10 X^{2} Y Z^{3} + 10 X^{3} Y Z + 79 X^{2} Y^{2} Z + 22 X^{2} Y Z^{2} + 21 X Y^{3} Z + 10 X Y^{2} Z^{2} + 880 X Y Z^{3} + 35 X^{2} Y Z + 25 X Y^{2} Z + 131 X Y Z^{2} + 90 X Y Z

Algorithm definition

The algorithm ⟨23×23×23:6724⟩ is the projection [[1, 14], [14]] of ⟨24×24×24:7000⟩.

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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