Description of fast matrix multiplication algorithm: ⟨4×12×32:1020⟩

Algorithm type

4 X^{4} Y^{8} Z^{4} + 4 X^{2} Y^{12} Z^{2} + 16 X Y^{12} Z + 48 X^{4} Y^{4} Z^{4} + 16 X^{2} Y^{8} Z^{2} + 32 X Y^{9} Z + 80 X^{2} Y^{6} Z^{2} + 12 X^{2} Y^{4} Z^{2} + 248 X^{2} Y^{2} Z^{2} + 48 X Y^{4} Z + 200 X Y^{3} Z + 312 X Y Z

Algorithm definition

The algorithm ⟨4×12×32:1020⟩ is the (Kronecker) tensor product of ⟨2×3×4:20⟩ with ⟨2×4×8:51⟩.

Algorithm description

maple tensor representation (compressed by bzip2);
maple LRP representation (compressed by bzip2);
maple evaluation scheme (compressed by bzip2).

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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