2: Ellipsoidal function

Minimize:

$$f_{2}(\vec x)=\sum_{i=1}^D i{x_i}^2$$

With constraints:

$$Unconstrained$$

Global optimum:

$$f_{2}(\vec x^*)=0$$

$${x_i}^*=0, \quad i=1,\ldots,D$$

Features:

Unimodal, Additively separable

Figure 2: Ellipsoidal function