Virtual Labs

Chemical Engineering Numerical Methods - Optimization Experiments

Aim

Theory

Pretest

Procedure

Simulation

Posttest

References

Contributors

Feedback

Aim

Theory

Pretest

Procedure

Simulation

Posttest

References

Contributors

Feedback

Optimization - To find a minimum of a given objective function within the given interval using the golden section search method.

Choose difficulty:

Beginner

Intermediate

Advanced

If f(x₁) < f(x₂) while minimizing, the new interval becomes

a: [x_l, x₂] Explanation

Explanation

b: [x_l, x_u] Explanation

Explanation

c: [x₁, x₂] Explanation

Explanation

d: [x₂, x_u] Explanation

Explanation

Golden Section Search is classified under

a: Numerical differentiation methods Explanation

Explanation

b: Numerical integration methods Explanation

Explanation

c: Optimization methods Explanation

Explanation

d: Linear algebra methods Explanation

Explanation

One major advantage of the Golden Section Search Method is that

a: It requires second derivatives Explanation

Explanation

b: It does not require derivatives of the function Explanation

Explanation

c: It works only for linear functions Explanation

Explanation

d: It solves simultaneous equations Explanation

Explanation

The Golden Section Search reduces the search interval using the ratio derived from

a: Euler's constant Explanation

Explanation

b: Golden ratio Explanation

Explanation

c: Fibonacci series Explanation

Explanation

d: Taylor series Explanation

Explanation

Community Links Sakshat Portal Outreach Portal FAQ: Virtual Labs

AGPL 3.0 & Creative Commons (CC BY-NC-SA 4.0)