## 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:

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.
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