Description of fast matrix multiplication algorithm: ⟨4×25×32:2016⟩

Algorithm type

8 X^{4} Y^{20} Z^{4} + 32 X^{4} Y^{16} Z^{4} + 64 X^{2} Y^{20} Z^{2} + 56 X Y^{20} Z + 8 X^{4} Y^{12} Z^{4} + 80 X^{2} Y^{16} Z^{2} + 48 X Y^{16} Z + 88 X^{4} Y^{8} Z^{4} + 72 X^{2} Y^{12} Z^{2} + 64 X Y^{12} Z + 152 X^{2} Y^{8} Z^{2} + 64 X Y^{8} Z + 16 X^{2} Y^{5} Z^{2} + 200 X^{2} Y^{4} Z^{2} + 16 X^{2} Y^{3} Z^{2} + 112 X Y^{5} Z + 176 X^{2} Y^{2} Z^{2} + 232 X Y^{4} Z + 128 X Y^{3} Z + 128 X Y^{2} Z + 272 X Y Z

Algorithm definition

The algorithm ⟨4×25×32:2016⟩ is the (Kronecker) tensor product of ⟨2×5×4:32⟩ with ⟨2×5×8:63⟩.

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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