Faugère F5 algorithm (Gröbner Bases Gröbner Bases)

From Algorithm Wiki
Revision as of 11:15, 15 February 2023 by Admin (talk | contribs) (Created page with "== 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 == Reference == https://dl-acm-org.ezproxy.canberra.edu.au/doi/10.1145/780506.780516")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

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

Reference

https://dl-acm-org.ezproxy.canberra.edu.au/doi/10.1145/780506.780516