3: Rotated ellipsoidal function

Minimize:

$$f_{3}(\vec x)=\sum_{i=1}^D \left( \sum_{j=1}^i {x_j} \right) ^2$$

With constraints:

$$Unconstrained$$

Global optimum:

$$f_{3}(\vec x^*)=0$$

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

Features:

Unimodal, Non-separable

Figure 3: Rotated ellipsoidal function