Description of fast matrix multiplication algorithm: ⟨8×28×28:3696⟩

Algorithm type

336X4Y4Z4+128X2Y6Z2+224X2Y4Z2+1216X2Y2Z2+256XY3Z+448XY2Z+1088XYZ336X4Y4Z4128X2Y6Z2224X2Y4Z21216X2Y2Z2256XY3Z448XY2Z1088XYZ336*X^4*Y^4*Z^4+128*X^2*Y^6*Z^2+224*X^2*Y^4*Z^2+1216*X^2*Y^2*Z^2+256*X*Y^3*Z+448*X*Y^2*Z+1088*X*Y*Z

Algorithm definition

The algorithm ⟨8×28×28:3696⟩ is the (Kronecker) tensor product of ⟨2×7×7:77⟩ 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.


Back to main table