Description of fast matrix multiplication algorithm: ⟨25×25×25:8359⟩

Algorithm type

3300 X^{3} Y^{3} Z^{3} + 242 X^{3} Y^{2} Z^{3} + 1012 X^{3} Y^{3} Z + 495 X^{3} Y^{2} Z^{2} + 737 X^{2} Y^{3} Z^{2} + 231 X^{2} Y^{2} Z^{3} + 81 X^{3} Y^{2} Z + 264 X^{3} Y Z^{2} + 69 X^{2} Y^{3} Z + 400 X^{2} Y^{2} Z^{2} + 11 X^{2} Y Z^{3} + 11 X^{3} Y Z + 86 X^{2} Y^{2} Z + 24 X^{2} Y Z^{2} + 23 X Y^{3} Z + 11 X Y^{2} Z^{2} + 1056 X Y Z^{3} + 38 X^{2} Y Z + 27 X Y^{2} Z + 143 X Y Z^{2} + 98 X Y Z

Algorithm definition

The algorithm ⟨25×25×25:8359⟩ is the projection [[1, 15], [15]] of ⟨26×26×26:8658⟩.

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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