How can I solve a constrained minimum problem?

  • Context: Undergrad 
  • Thread starter Thread starter Pepala
  • Start date Start date
  • Tags Tags
    Minimum
Click For Summary
SUMMARY

The discussion centers on solving a constrained minimum problem defined by the equation to minimize x^3 under the constraint K = x - Ωπ. Participants clarify that if K and Ω are constants, x is a fixed value, rendering the minimization unnecessary. The conclusion is that the problem lacks variability in x, negating the need for optimization.

PREREQUISITES
  • Understanding of constrained optimization problems
  • Familiarity with mathematical notation and terminology
  • Knowledge of constants and variables in equations
  • Basic calculus principles related to minimization
NEXT STEPS
  • Study constrained optimization techniques in mathematical programming
  • Learn about Lagrange multipliers for handling constraints
  • Explore fixed-point theorems in optimization
  • Review examples of minimization problems with variable constraints
USEFUL FOR

Mathematicians, students in optimization theory, and professionals dealing with constrained optimization problems.

Pepala
Messages
4
Reaction score
0
Hi,

I need help with this problem;

minimize x^3, subject to K= x-Ωπ

so would the solution be

K-Ωπ=x

thanks!
 
Physics news on Phys.org
I don't understand your question. If K and [itex]\Omega[/itex] are constants, then x is given as a specific number. There is no question of "minimizing" anything!
 

Similar threads

  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K