Description of fast matrix multiplication algorithm: ⟨8×24×28:3192⟩

Algorithm type

24 X^{8} Y^{16} Z^{8} + 56 X^{4} Y^{16} Z^{4} + 32 X^{2} Y^{16} Z^{2} + 188 X^{4} Y^{8} Z^{4} + 4 X^{2} Y^{12} Z^{2} + 52 X^{4} Y^{4} Z^{4} + 384 X^{2} Y^{8} Z^{2} + 8 X^{4} Y^{2} Z^{4} + 4 X^{2} Y^{6} Z^{2} + 192 X Y^{8} Z + 356 X^{2} Y^{4} Z^{2} + 24 X Y^{6} Z + 404 X^{2} Y^{2} Z^{2} + 288 X Y^{4} Z + 48 X^{2} Y Z^{2} + 24 X Y^{3} Z + 552 X Y^{2} Z + 552 X Y Z

Algorithm definition

The algorithm ⟨8×24×28:3192⟩ is the (Kronecker) tensor product of ⟨2×2×2:7⟩ with ⟨4×12×14:456⟩.

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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