Description of fast matrix multiplication algorithm: ⟨10×25×28:4256⟩

Algorithm type

20 X Y^{16} Z + 4 X^{6} Y^{6} Z^{4} + 16 X^{2} Y^{12} Z^{2} + 10 X^{6} Y^{4} Z^{4} + 92 X^{4} Y^{6} Z^{4} + 44 X Y^{12} Z + 5 X^{3} Y^{8} Z^{2} + 16 X^{2} Y^{3} Z^{8} + 230 X^{4} Y^{4} Z^{4} + 155 X^{2} Y^{8} Z^{2} + 40 X^{2} Y^{2} Z^{8} + 52 X^{6} Y^{3} Z^{2} + 32 X^{4} Y^{3} Z^{4} + 11 X^{3} Y^{6} Z^{2} + 130 X^{6} Y^{2} Z^{2} + 80 X^{4} Y^{2} Z^{4} + 253 X^{2} Y^{6} Z^{2} + 28 X Y^{8} Z + 16 X^{4} Y^{3} Z^{2} + 7 X^{3} Y^{4} Z^{2} + 16 X^{2} Y^{3} Z^{4} + 20 X Y^{4} Z^{4} + 40 X^{4} Y^{2} Z^{2} + 65 X^{3} Y^{4} Z + 201 X^{2} Y^{4} Z^{2} + 40 X^{2} Y^{2} Z^{4} + 44 X Y^{3} Z^{4} + 143 X^{3} Y^{3} Z + 19 X^{3} Y^{2} Z^{2} + 20 X^{2} Y^{4} Z + 148 X^{2} Y^{3} Z^{2} + 20 X Y^{4} Z^{2} + 28 X Y^{2} Z^{4} + 91 X^{3} Y^{2} Z + 44 X^{2} Y^{3} Z + 643 X^{2} Y^{2} Z^{2} + 151 X Y^{4} Z + 44 X Y^{3} Z^{2} + 76 X Y Z^{4} + 247 X^{3} Y Z + 28 X^{2} Y^{2} Z + 152 X^{2} Y Z^{2} + 165 X Y^{3} Z + 28 X Y^{2} Z^{2} + 76 X^{2} Y Z + 105 X Y^{2} Z + 76 X Y Z^{2} + 285 X Y Z

Algorithm definition

The algorithm ⟨10×25×28:4256⟩ is the (Kronecker) tensor product of ⟨2×5×7:56⟩ with ⟨5×5×4:76⟩.

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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