GoldenMethod.pdf - TUTORIAL 6 \u201cGolden Section Method\u201d I OBJECT \u27a2 Use the golden section method to find an optimize point of equation in MATLAB \u27a2

GoldenMethod.pdf - TUTORIAL 6 “Golden Section Method” I...

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1 TUTORIAL 6 Golden Section MethodI.OBJECT Use the golden section method to find an optimize point of equation in MATLAB Develop the algorithm of the Golden section method II.PROCESS and RESULT 1.Introduction The Golden Section method is a technique to find out the extremum (maximum or minimum) of a strictly unimodal function by successively narrowing the range of values. This method maintains the function values for triples of points whose distances from a Golden Ratio, So its known as Golden Section Method or Golden Ratio Method or Golden Mean Method. -But what is Unimodal Function? Unimodal Function: a function f(x) is a unimodal function if for some value m, it is monotonically increasing for X<= m and monotonically decreasing for x>=m. In that case, the maximum value of f(x) is f(m) and there are no other local maxima. 2.The Golden Section Algorithm The following algorithm can be used to determine the maximum of a function f(x).
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  • Fall '17
  • tola
  • Golden ratio, Xopt, D465D459, D465D462

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