List questions from convex-optimization

Published on 17 May 2026 - 4:25

697

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Prove that Log Det is concave

Published on 15 Apr 2026 - 17:14

52

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Convexity of the function $f(x, y) = ||x|| - ||y||, x, y \in \mathbb{R}^n$

Published on 15 Apr 2026 - 7:50

207

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An equivalent condition of the intersection of convex hulls of two compact sets being empty

Published on 16 Apr 2026 - 0:27

295

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Prove that the set of non-copositive matrices is non-convex

Published on 16 Apr 2026 - 0:43

823

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Example of copositive matrix but neither positive semidefinite nor elementwise nonnegative?

Published on 15 May 2026 - 20:46

85

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For which values of $y$ and $z$ is $\cos\left(2y+z\right)>0$

Published on 15 Apr 2026 - 3:22

326

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Describe Dual Cones in $R^2$

Published on 15 May 2026 - 20:18

153

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Is the following convex: $f(x) = \frac{\|\mathbf{Ax}+\mathbf{b}\|^2}{\mathbf{m^Tx}+n}$ over a convex set

Published on 14 Apr 2026 - 17:26

56

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why $\sum_{i=1}^{n} p_{i} = 1$ defines a hyperplane?

Published on 16 Apr 2026 - 1:01

509

Views

Prove that $f(x) = \log(\sum_{k=1}^n\exp(x^Tw_k))$ is convex

Published on 15 Apr 2026 - 19:02

397

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why polyhedron was defined by linear equalities and inequalities?

Published on 14 Apr 2026 - 13:08

80

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Surrogate duality gap and feasibility in primal-dual interior point methods (Boyd)

Published on 13 Apr 2026 - 15:45

72

Views

LP declared infeasible even though there exists a feasible solution

Published on 15 Apr 2026 - 1:57

126

Views

Do primal and dual norms bound each other, that is, $\|\cdot\| \leq \|\cdot\|_\star$?

Published on 14 Apr 2026 - 12:50

List Question

How to visualise this weighted combination?

Prove that Log Det is concave

Convexity of the function $f(x, y) = ||x|| - ||y||, x, y \in \mathbb{R}^n$

An equivalent condition of the intersection of convex hulls of two compact sets being empty

Prove that the set of non-copositive matrices is non-convex

Example of copositive matrix but neither positive semidefinite nor elementwise nonnegative?

For which values of $y$ and $z$ is $\cos\left(2y+z\right)>0$

Describe Dual Cones in $R^2$

Is the following convex: $f(x) = \frac{\|\mathbf{Ax}+\mathbf{b}\|^2}{\mathbf{m^Tx}+n}$ over a convex set

why $\sum_{i=1}^{n} p_{i} = 1$ defines a hyperplane?

Prove that $f(x) = \log(\sum_{k=1}^n\exp(x^Tw_k))$ is convex

why polyhedron was defined by linear equalities and inequalities?

Surrogate duality gap and feasibility in primal-dual interior point methods (Boyd)

LP declared infeasible even though there exists a feasible solution

Do primal and dual norms bound each other, that is, $\|\cdot\| \leq \|\cdot\|_\star$?

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