## Why use numerical methods?

f(x) is a very highly complicated, like non-linear with multiple dimensions. So its first-order derivative cannot be expressed or calculated analytically. For example the function as follows:

$e^{x^{2}}-lnx = 0$

Now we need the help of numerical methods to solve the problem.

## Summary on Unconstrained Optimization Methods

Mindmap : Unconstrained Optimization

REF

[1] A. Antoniou and W.-S. Lu, Practical Optimization. [New York]: Springer Science+Business Media, LLC, 2007.