Faugère F5 algorithm (Gröbner Bases Gröbner Bases)
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Time Complexity
$O(C(n+D_{reg}, D_{reg})$^{\omega}) where omega is the exponent on matrix multiplication
Space Complexity
$O(C(n+D_{reg}, D_{reg})$^{2})? words
(Seems to keep track of a square matrix (for monomials) of size $O(C(n+D_{reg}, D_{reg})^2$))
Description
Approximate?
Exact
Randomized?
No, deterministic
Model of Computation
Word RAM
Year
2002