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convxy
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5 votes
1 answer
162 views

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 votes
0 answers
34 views

Stationary conditions for intersection

3 votes
2 answers
104 views

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 votes
1 answer
99 views

Find the dual problem of $\min_x\{||x-a_1||+||x-a_2||+||x-a_3||,a_i\in\mathbb{R}^n\}$

3 votes
1 answer
136 views

Following code doesn't work in matlab with CVX

2 votes
1 answer
151 views

Stationary condition for unit simplex

2 votes
0 answers
59 views

Prove $\sum_{i=1}^{m}\lambda_i^*\leq\frac{f(\hat{x})-f^*}{\underset{i=1,\ldots,m}{\min}(-g_i(\hat{x}))}$

1 vote
0 answers
102 views

Prove Non-Homogeneous Farkas' Lemma

1 vote
1 answer
71 views

Find a dual problem with one dual decision variable to the problem of finding the orthogonal projection of a given vector