Description of fast matrix multiplication algorithm: ⟨14×27×30:6440⟩

Algorithm type

880 X^{4} Y^{6} Z^{6} + 16 X^{4} Y^{3} Z^{9} + 16 X^{6} Y^{3} Z^{6} + 144 X^{4} Y^{6} Z^{5} + 1320 X^{2} Y^{6} Z^{6} + 24 X^{2} Y^{3} Z^{9} + 216 X^{2} Y^{6} Z^{5} + 24 X^{3} Y^{3} Z^{6} + 480 X^{2} Y^{6} Z^{3} + 128 X^{2} Y^{3} Z^{6} + 368 X^{4} Y^{3} Z^{3} + 32 X^{2} Y^{3} Z^{5} + 720 X Y^{6} Z^{3} + 192 X Y^{3} Z^{6} + 48 X^{4} Y^{3} Z^{2} + 48 X Y^{3} Z^{5} + 1016 X^{2} Y^{3} Z^{3} + 72 X^{2} Y^{3} Z^{2} + 696 X Y^{3} Z^{3}

Algorithm definition

The algorithm ⟨14×27×30:6440⟩ is the projection [[15, 0], [0]] of ⟨15×27×30:6440⟩.

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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