Second Example Revisited

Test Problem:
Let's reconsider the second example. When the optimization finishes at Iteration 7, we have a confirmed minimizer at 0.0 and our cubic spline approximation is quite accurate in the neighborhood of the minimizer [ -0.2, 0.2 ]. But the approximation is not particularly good in the region [ 0.833, 1.5 ]; in fact, the approximation a suggests that there is another local minimizer of the objective f in this region when none exists.

So let's perturb our function f and introduce a new basin that contains a global minimizer in the region [ 0.833, 1.5 ] and see what happens.

Optimization Using Approximations:

• Iteration 1
• Iteration 2
• Iteration 3
• Iteration 4
• Iteration 5
• Iteration 6
• Iteration 7