e*****u
发帖数: 27 | 1 Q: Among N stationary points, what is the upper bound (n
local minima?
Is there any theorem related to this? |
l********e
发帖数: 3632 | 2 Morse Theory.(for non-degenerate critical points) |
e*****u
发帖数: 27 | 3 Thanks. I looked into it but totally got lost (since no background in
topology). Could anyone intuitively explain it a little bit?
Basically my question is:
I have 4th order univariate polynomial and thus 4 stationary (or critical)
points. But I am really interested in how many local minima at most. Is it
possible to have all 4 local minima?
【在 l********e 的大作中提到】
: Morse Theory.(for non-degenerate critical points)
|
l********e
发帖数: 3632 | 4 Definitely cannot be all minimum, there must be some minmax point(saddle
point) between two minmum.
【在 e*****u 的大作中提到】
: Thanks. I looked into it but totally got lost (since no background in
: topology). Could anyone intuitively explain it a little bit?
: Basically my question is:
: I have 4th order univariate polynomial and thus 4 stationary (or critical)
: points. But I am really interested in how many local minima at most. Is it
: possible to have all 4 local minima?
|
