Description of fast matrix multiplication algorithm: ⟨6×25×28:2632⟩

Algorithm type

52 X^{4} Y^{6} Z^{4} + 10 X Y^{12} Z + 8 X^{2} Y^{9} Z^{2} + 8 X^{4} Y^{6} Z^{2} + 130 X^{4} Y^{4} Z^{4} + 65 X^{2} Y^{8} Z^{2} + 4 X^{2} Y^{6} Z^{4} + 16 X^{6} Y^{3} Z^{2} + 10 X^{2} Y^{8} Z + 12 X^{2} Y^{3} Z^{6} + 22 X Y^{9} Z + 5 X Y^{8} Z^{2} + 40 X^{6} Y^{2} Z^{2} + 20 X^{4} Y^{4} Z^{2} + 195 X^{2} Y^{6} Z^{2} + 10 X^{2} Y^{4} Z^{4} + 30 X^{2} Y^{2} Z^{6} + 40 X Y^{8} Z + 24 X^{4} Y^{3} Z^{2} + 22 X^{2} Y^{6} Z + 12 X^{2} Y^{3} Z^{4} + 11 X Y^{6} Z^{2} + 60 X^{4} Y^{2} Z^{2} + 20 X^{3} Y^{4} Z + 171 X^{2} Y^{4} Z^{2} + 30 X^{2} Y^{2} Z^{4} + 102 X Y^{6} Z + 15 X Y^{4} Z^{3} + 44 X^{3} Y^{3} Z + 44 X^{2} Y^{4} Z + 20 X^{2} Y^{3} Z^{2} + 22 X Y^{4} Z^{2} + 33 X Y^{3} Z^{3} + 28 X^{3} Y^{2} Z + 66 X^{2} Y^{3} Z + 297 X^{2} Y^{2} Z^{2} + 81 X Y^{4} Z + 33 X Y^{3} Z^{2} + 21 X Y^{2} Z^{3} + 76 X^{3} Y Z + 80 X^{2} Y^{2} Z + 93 X Y^{3} Z + 40 X Y^{2} Z^{2} + 57 X Y Z^{3} + 114 X^{2} Y Z + 187 X Y^{2} Z + 57 X Y Z^{2} + 95 X Y Z

Algorithm definition

The algorithm ⟨6×25×28:2632⟩ is the (Kronecker) tensor product of ⟨2×5×7:56⟩ with ⟨3×5×4:47⟩.

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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