List questions from convex-analysis

Published on 26 Mar 2026 - 9:49

263

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Prove that if $x$ is a fixed point for $g$ then its projection to $S$ minimizes $f$ over $S$.

Published on 08 Oct 2018 - 11:55

119

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Is the following inequality true: $x^{t}y^{1-t} \geq tx+(1-t)y$ for $t\in [0,1], x,y > 0$?

Published on 09 Oct 2018 - 14:19

609

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Find optimal set and optimal value for feasible set

Published on 10 Oct 2018 - 14:42

49

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Minimum representation of total generalized variation

Published on 26 Mar 2026 - 14:40

41

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Efficient way of checking if a set is convex in 3 or more dimensions?

Published on 27 Mar 2026 - 23:28

265

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Conjugate function of negative logarithm: fault in my reasoning?

Published on 26 Mar 2026 - 16:26

305

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Is there a dense convex cone which is not a subspace?

Published on 26 Mar 2026 - 4:32

234

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Convergence of subgradients

Published on 25 Mar 2026 - 17:45

1.7k

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Is a convex combination of positive semi-definite matrices itself positive semi-definite?

Published on 25 Mar 2026 - 11:06

58

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Are there multiple definitions for a cones and convex cones in the context of vector spaces?

Published on 13 Oct 2018 - 2:53

168

Views

dual relationship $\|x\|_\infty = \max_{\|z\|_1 \le 1} z^T x$

Published on 28 Mar 2026 - 14:25

3.8k

Views

Is a line a convex set?

Published on 13 Oct 2018 - 14:55

269

Views

A set X is convex if $\forall x,y \in X$, $\frac{1}{2}(x+y)\in X$

Published on 27 Mar 2026 - 10:47

78

Views

Supremum characterisation of entropy

Published on 26 Mar 2026 - 9:40

List Question

Can't proove that a function is convex

Prove that if $x$ is a fixed point for $g$ then its projection to $S$ minimizes $f$ over $S$.

Is the following inequality true: $x^{t}y^{1-t} \geq tx+(1-t)y$ for $t\in [0,1], x,y > 0$?

Find optimal set and optimal value for feasible set

Minimum representation of total generalized variation

Efficient way of checking if a set is convex in 3 or more dimensions?

Conjugate function of negative logarithm: fault in my reasoning?

Is there a dense convex cone which is not a subspace?

Convergence of subgradients

Is a convex combination of positive semi-definite matrices itself positive semi-definite?

Are there multiple definitions for a cones and convex cones in the context of vector spaces?

dual relationship $\|x\|_\infty = \max_{\|z\|_1 \le 1} z^T x$

Is a line a convex set?

A set X is convex if $\forall x,y \in X$, $\frac{1}{2}(x+y)\in X$

Supremum characterisation of entropy

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