## What is global optimization?

## 1. Intuitive interpretation

In mountain climbing, people like getting on the summit of the mountain. They are seeking global optimization (See Fig.1).

## 2. Mathematical interpretation

The objective of global optimization is to find the true best solution to a problem, in the (possible or known) presence of multiple local optimal solution. Mathematically, the global optimum x* of a function f is a point in R^n such that f(x*)<=f(x) for all x in a given domain; the local optimum has less requirement, i.e., f(x*)<=f(x) for all x in a neighborhood of x*. (See Fig. 2).