making sure we found all the extremals

22 Views Asked by At

I am curios to know whether there is anyway to be sure that we found all the stationary points using Lagrange multiplier method.? Thank you.

1

There are 1 best solutions below

0
On

Following the procedure going, without any guessing involved, and not dropping any solutions on the way(for example, +- issue) one can be sure, that there were no stationary points left out. You can be sure in that, for example, if you look at the derivation of Euler-Lagrange theorem.