### Questions (9)

 5 Prove that $x^*$ is an optimal solution where $f_0$ is $C^1$ and convex and $f_i$ are $C^1$ and strictly convex functions 3 Following code doesn't work in matlab with CVX 3 Find the dual problem of $\min_x\{||x-a_1||+||x-a_2||+||x-a_3||,a_i\in\mathbb{R}^n\}$ 3 Let $A\in\mathbb{R}^{m\times n},c\in\mathbb{R}^n$. Show that exactly one of the following two systems is feasible: 3 Stationary conditions for intersection

### Reputation (395)

This user has no recent positive reputation changes

 2 Find a dual problem with one dual decision variable to the problem of finding the orthogonal projection of a given vector 1 Find the dual problem of $\min_x\{||x-a_1||+||x-a_2||+||x-a_3||,a_i\in\mathbb{R}^n\}$ 1 Let $A\in\mathbb{R}^{m\times n},c\in\mathbb{R}^n$. Show that exactly one of the following two systems is feasible:

### Tags (7)

 4 convex-optimization × 11 0 kkt-conditions × 3 3 duality × 6 0 nonconvex-programming × 2 2 convexity × 2 0 matlab 1 optimization × 4

### Bookmarks (0)

This user has no bookmarked questions.

### Accounts (12)

 Mathematics 1,730 rep 44 silver badges1919 bronze badges Operations Research 395 rep 77 bronze badges Computer Science 211 rep 55 bronze badges Cross Validated 109 rep Meta Stack Exchange 101 rep