List questions from convex-optimization

Published on 13 Dec 2019 - 12:39

145

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Equivalence of objective functions of optimization problems

Published on 14 Dec 2019 - 3:54

24

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can two sublevel sets have different "shapes"?

Published on 26 Mar 2026 - 17:42

52

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Is there a notion of pseudo convexity such that "$\Phi$ pseudoconvex $\iff \Phi'$ pseudomonotone" holds?

Published on 26 Mar 2026 - 17:47

55

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Compute $\|x\|=\max_{1 \leq i_1 \leq \dots \leq i_r \leq n} |x_{i_1}| + \cdots + |x_{i_r}|$ by optimization?

Published on 15 Dec 2019 - 20:10

75

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Solving: $\underset{\alpha}{\text{min}} \; || \left( b - A(\alpha \circ x ) \right) ||_{2}^{2}$

Published on 25 Mar 2026 - 17:38

431

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Semi-definite Programming with Quadratic Objective

Published on 25 Mar 2026 - 4:53

494

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Projection of a point exterior to the set on to a hyper plane via lagrangian

Published on 28 Mar 2026 - 16:58

188

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calculating euclidean projection values

Published on 26 Mar 2026 - 23:59

92

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Convexity and Quasi convexity

Published on 16 Dec 2019 - 10:46

42

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Mixed Integer Implementation

Published on 25 Mar 2026 - 15:57

203

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How to show that the following two problems are equivalent?

Published on 17 Dec 2019 - 12:37

174

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Quadratic objective function and semidefinite programming

Published on 25 Mar 2026 - 4:53

243

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Convex sublevels of non-convex function

Published on 18 Dec 2019 - 3:51

79

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Maximizing objective function with non-concave constraint

Published on 26 Mar 2026 - 7:55

List Question

Prove that exactly one of the systems has a solution

Equivalence of objective functions of optimization problems

can two sublevel sets have different "shapes"?

Is there a notion of pseudo convexity such that "$\Phi$ pseudoconvex $\iff \Phi'$ pseudomonotone" holds?

Compute $\|x\|=\max_{1 \leq i_1 \leq \dots \leq i_r \leq n} |x_{i_1}| + \cdots + |x_{i_r}|$ by optimization?

Solving: $\underset{\alpha}{\text{min}} \; || \left( b - A(\alpha \circ x ) \right) ||_{2}^{2}$

Semi-definite Programming with Quadratic Objective

Projection of a point exterior to the set on to a hyper plane via lagrangian

calculating euclidean projection values

Convexity and Quasi convexity

Mixed Integer Implementation

How to show that the following two problems are equivalent?

Quadratic objective function and semidefinite programming

Convex sublevels of non-convex function

Maximizing objective function with non-concave constraint

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