Finding Maxima, Minima, and Saddle Points with Lagrange Multipliers

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
2 replies · 2K views
ythamsten
Messages
16
Reaction score
0
I'm currently having some trouble, after the procedure of finding the actual values for the multipliers and the points, but how come can I figure out whether which points that I've collected are maxima, minima or just saddle ones. I've taken a look on lots of books, but I can't seem to find something that helps me out with a method that I can apply in general. The closest I reached of something useful was called the 'Bordered Hessian', which was fairly similar to usual optimization, but where I was reading, the criteria was described in kind of a fuzzy way. Can someone help me? Or at least indicate where I can find this in a clear way? Thanks!
 
Physics news on Phys.org
This should help you
 
  • Like
Likes   Reactions: ythamsten
It surely did zoki85! Thanks a lot.