PART A: Set up an objective function for your design project and identify the constraints involved. Prepare a presentation slide and a short write-up.
PART B: Minimize f(x) = x sin x
Check what happens if x = 1.0769 at any point during the search.
1) Find the solution using Newton’s method.
Start from the initial bound points x0 = -0.5 & x0 =1.5
Decide when x* has converged, note the number of function iterations & function evaluations.
Count each calculation f, f’ or f” as one function evaluation.
2) Find the solution using Golden Section method.
Start from initial bound points xL= -0.5 and xU = 1.5
Decide when x* has converged, note the number of function iterations & function evaluations.
Count each calculation f, f’ or f” as one function evaluation.
3) Compare the number of iterations & function evaluations required by Newton’s method to the number required by the Golden Section.
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