#### Description of this paper

##### Advanced Design Technique (Multidisciplinary Optimization [Engineering])

Description

solution

Question

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 x 0 = -0.5 & x 0 =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 x L = -0.5 and x U = 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.

Paper#70888 | Written in 18-Jul-2015

Price : \$22