Description of fast matrix multiplication algorithm: ⟨10×10×20:1290⟩

Algorithm type

810 X^{2} Y^{2} Z^{2} + 100 X^{2} Y Z + 190 X Y^{2} Z + 190 X Y Z^{2}

Algorithm definition

The algorithm ⟨10×10×20:1290⟩ is taken from:

Igor Kaporin. The aggregation and cancellation techniques as a practical tool for faster matrix multiplication. Theoretical Computer Science, 315:469--510, May 2004. [DOI]

Algorithm description

maple tensor 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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