Description of fast matrix multiplication algorithm: ⟨8×24×32:3600⟩

Algorithm type

32 X^{4} Y^{12} Z^{4} + 64 X^{4} Y^{10} Z^{4} + 32 X^{4} Y^{8} Z^{4} + 96 X^{2} Y^{12} Z^{2} + 16 X^{4} Y^{6} Z^{4} + 160 X^{2} Y^{10} Z^{2} + 192 X^{4} Y^{4} Z^{4} + 80 X^{2} Y^{8} Z^{2} + 128 X^{2} Y^{6} Z^{2} + 128 X^{2} Y^{5} Z^{2} + 176 X^{2} Y^{4} Z^{2} + 32 X^{2} Y^{2} Z^{4} + 192 X Y^{6} Z + 32 X^{2} Y^{3} Z^{2} + 320 X Y^{5} Z + 704 X^{2} Y^{2} Z^{2} + 160 X Y^{4} Z + 128 X Y^{3} Z + 224 X Y^{2} Z + 64 X Y Z^{2} + 640 X Y Z

Algorithm definition

The algorithm ⟨8×24×32:3600⟩ is the (Kronecker) tensor product of ⟨2×6×8:75⟩ with ⟨4×4×4:48⟩.

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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