Check the solution to "Optimization - What if solution of the lagrangian..."

Frances Pham

Answered question

2022-11-15

Optimization - What if solution of the lagrangian is the critical point of the constraint

erlentzed

Beginner2022-11-16Added 22 answers

It's fine if a solution to the Lagrangian is a critical point of

g

. But it's also possible that

g

has critical points that aren't solutions to the Lagrangian -- you need to check the values of

f

at the

g

-critical point too.
It's like finding the maximum of a function

f : R \to R

over an interval

[a, b]

. You find where

f^{'}

is zero but you also need to check the values at

a

and

b

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?