Description of fast matrix multiplication algorithm: ⟨23×24×24:6902⟩

Algorithm type

3080 X^{3} Y^{3} Z^{3} + 968 X^{3} Y^{3} Z + 231 X^{3} Y^{2} Z^{2} + 682 X^{2} Y^{3} Z^{2} + 231 X^{2} Y^{2} Z^{3} + 22 X^{3} Y^{2} Z + 67 X^{2} Y^{3} Z + 308 X^{2} Y^{2} Z^{2} + 58 X^{2} Y^{2} Z + 22 X Y^{3} Z + 11 X Y^{2} Z^{2} + 990 X Y Z^{3} + 24 X Y^{2} Z + 114 X Y Z^{2} + 94 X Y Z

Algorithm definition

The algorithm ⟨23×24×24:6902⟩ is the projection [[1, 0], [0]] of ⟨24×24×24:7000⟩.

Algorithm description

maple tensor representation (compressed by bzip2);
maple LRP representation (compressed by bzip2);
maple evaluation scheme (compressed by bzip2).

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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