Golden Section Method Prepared by Shahrzad Kavianirad Submitted to Prof. Dr. Sahand Daneshvar.

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Presentation transcript:

Golden Section Method Prepared by Shahrzad Kavianirad Submitted to Prof. Dr. Sahand Daneshvar

Outline What is the Golden Section Search intermediate points Golden Ratio Algorithm example

Golden Section Method What is the Golden Section Search method used for and how does it work?  Unimodal function

How are the intermediate points in the Golden Section Search determined? a ba b a-b

Does the Golden Section Search have anything to do with the Golden Ratio?

ab b a

The Golden Section Search Algorithm

Example θ θ

It is greater then ε The process is repeated in the second iteration.

Example 0.6 Max area when θ=0.9 or 51.6 degree

Example Iteration

Golden Section Method