Description of fast matrix multiplication algorithm: ⟨4×20×30:1560⟩

Algorithm type

10 X^{4} Y^{8} Z^{4} + 4 X^{2} Y^{12} Z^{2} + 40 X^{4} Y^{6} Z^{4} + 16 X Y^{12} Z + 16 X^{2} Y^{9} Z^{2} + 40 X^{4} Y^{4} Z^{4} + 50 X^{2} Y^{8} Z^{2} + 32 X Y^{9} Z + 136 X^{2} Y^{6} Z^{2} + 40 X Y^{8} Z + 116 X^{2} Y^{4} Z^{2} + 104 X Y^{6} Z + 64 X^{2} Y^{3} Z^{2} + 184 X^{2} Y^{2} Z^{2} + 124 X Y^{4} Z + 176 X Y^{3} Z + 216 X Y^{2} Z + 192 X Y Z

Algorithm definition

The algorithm ⟨4×20×30:1560⟩ is the (Kronecker) tensor product of ⟨2×4×6:39⟩ with ⟨2×5×5:40⟩.

Algorithm description

maple tensor 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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