Description of fast matrix multiplication algorithm: ⟨27×28×28:10413⟩

Algorithm type

5200 X^{3} Y^{3} Z^{3} + 1352 X^{3} Y^{3} Z + 325 X^{3} Y^{2} Z^{2} + 962 X^{2} Y^{3} Z^{2} + 325 X^{2} Y^{2} Z^{3} + 26 X^{3} Y^{2} Z + 79 X^{2} Y^{3} Z + 416 X^{2} Y^{2} Z^{2} + 68 X^{2} Y^{2} Z + 26 X Y^{3} Z + 13 X Y^{2} Z^{2} + 1378 X Y Z^{3} + 28 X Y^{2} Z + 134 X Y Z^{2} + 110 X Y Z

Algorithm definition

The algorithm ⟨27×28×28:10413⟩ is the projection [[1, 0], [0]] of ⟨28×28×28:10556⟩.

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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