Virtual Labs

Chemical Engineering Numerical Methods - Optimization Experiments

Aim

Theory

Pretest

Procedure

Simulation

Posttest

References

Contributors

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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.

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Beginner

Intermediate

Advanced

The Golden Section Search Method is mainly used to

a: Solve differential equations Explanation

Explanation

b: Find the root of an equation Explanation

Explanation

c: Find the minimum or maximum of a unimodal function Explanation

Explanation

d: Solve matrix equations Explanation

Explanation

The Golden Section Search Method is applicable when the function is

a: Unimodal in the given interval Explanation

Explanation

b: Periodic Explanation

Explanation

c: Linear Explanation

Explanation

d: Discontinuous Explanation

Explanation

The value of the constant used in Golden Section Search is approximately

a: 0.382 Explanation

Explanation

b: 0.5 Explanation

Explanation

c: 0.618 Explanation

Explanation

d: 1.732 Explanation

Explanation

In Golden Section Search, if the interval is [x_l, x_u] the interior point x_l is

a: x_l + 0.618(x_u - x_l) Explanation

Explanation

b: x_u - 0.618(x_u - x_l) Explanation

Explanation

c: x_l - 0.618(x_u - x_l) Explanation

Explanation

d: x_u + 0.618(x_u - x_l) Explanation

Explanation

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