Description of fast matrix multiplication algorithm: ⟨24×25×25:8176⟩

Algorithm type

3190 X^{3} Y^{3} Z^{3} + 121 X^{3} Y^{2} Z^{3} + 990 X^{3} Y^{3} Z + 352 X^{3} Y^{2} Z^{2} + 814 X^{2} Y^{3} Z^{2} + 231 X^{2} Y^{2} Z^{3} + 57 X^{3} Y^{2} Z + 132 X^{3} Y Z^{2} + 79 X^{2} Y^{3} Z + 495 X^{2} Y^{2} Z^{2} + 11 X^{2} Y Z^{3} + 11 X^{3} Y Z + 204 X^{2} Y^{2} Z + 24 X^{2} Y Z^{2} + 55 X Y^{3} Z + 11 X Y^{2} Z^{2} + 1023 X Y Z^{3} + 146 X^{2} Y Z + 63 X Y^{2} Z + 151 X Y Z^{2} + 109 X Y Z

Algorithm definition

The algorithm ⟨24×25×25:8176⟩ is the projection [[1, 0], [0]] of ⟨25×25×25:8359⟩.

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.

Back to main table