Description of fast matrix multiplication algorithm: ⟨4×21×25:1375⟩

Algorithm type

4 X^{2} Y^{15} Z^{2} + 10 X^{4} Y^{10} Z^{4} + 12 X Y^{15} Z + 10 X^{4} Y^{8} Z^{4} + 4 X^{2} Y^{12} Z^{2} + 5 X^{4} Y^{6} Z^{4} + 42 X^{2} Y^{10} Z^{2} + 14 X Y^{12} Z + 2 X^{2} Y^{9} Z^{2} + 50 X^{4} Y^{4} Z^{4} + 47 X^{2} Y^{8} Z^{2} + 36 X Y^{10} Z + 8 X Y^{9} Z + 5 X^{4} Y^{2} Z^{4} + 46 X^{2} Y^{6} Z^{2} + 42 X Y^{8} Z + 24 X^{2} Y^{5} Z^{2} + 10 X^{4} Y^{2} Z^{2} + 114 X^{2} Y^{4} Z^{2} + 36 X Y^{6} Z + 14 X^{2} Y^{3} Z^{2} + 72 X Y^{5} Z + 4 X^{2} Y^{3} Z + 196 X^{2} Y^{2} Z^{2} + 120 X Y^{4} Z + 12 X^{2} Y^{2} Z + 12 X^{2} Y Z^{2} + 76 X Y^{3} Z + 24 X^{2} Y Z + 156 X Y^{2} Z + 168 X Y Z

Algorithm definition

The algorithm ⟨4×21×25:1375⟩ is the (Kronecker) tensor product of ⟨2×3×5:25⟩ with ⟨2×7×5:55⟩.

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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