List questions from convex-optimization

Published on 14 Apr 2026 - 14:18

209

Views

Solving nonconvex problem by iterating convex ones

Published on 31 Mar 2026 - 10:05

57

Views

If we know the convex conjugate of $f(x,y)$, what can we say about the conjugate of $f$ in $x$?

Published on 15 Apr 2026 - 16:23

540

Views

Convexity of $y\geqslant\frac{1}{x}$ and $xy\geqslant 1$

Published on 15 Apr 2026 - 12:32

81

Views

How can I solve this as an optimization problem?

Published on 07 Apr 2026 - 14:35

572

Views

Convex hull of halfspace and point is not a polyhedron

Published on 14 Apr 2026 - 12:34

3.5k

Views

Proof of unique solution of strongly convex function (Prof. Nesterov Paper)

Published on 11 Apr 2026 - 10:24

1.1k

Views

LASSO constrained and penalised forms: first - order conditions?

Published on 14 Apr 2026 - 1:37

134

Views

Proximal-type support function properties - nonnegative & strongly convex (proof)

Published on 25 Mar 2026 - 23:17

69

Views

Adding constraints in a constrained problem

Published on 06 Apr 2026 - 0:12

251

Views

Properties of convex function with Lipshitz continuous gradient (Prof. Nesterov's textbook)

Published on 30 Mar 2026 - 8:55

1k

Views

Existence of unique maximizer in $\mathbb{R}^n$

Published on 12 Apr 2026 - 19:17

571

Views

$ {L}_{1} $ Norm Regularized Least Squares - Strict Convexity Property

Published on 26 Mar 2026 - 2:46

659

Views

Gradient and Hessian of a function defined in terms of matrix inverse

Published on 29 Mar 2026 - 21:37

164

Views

Show non-convexity of a function with vector input

Published on 07 Apr 2026 - 16:13

List Question

Optimality condition

Solving nonconvex problem by iterating convex ones

If we know the convex conjugate of $f(x,y)$, what can we say about the conjugate of $f$ in $x$?

Convexity of $y\geqslant\frac{1}{x}$ and $xy\geqslant 1$

How can I solve this as an optimization problem?

Convex hull of halfspace and point is not a polyhedron

Proof of unique solution of strongly convex function (Prof. Nesterov Paper)

LASSO constrained and penalised forms: first - order conditions?

Proximal-type support function properties - nonnegative & strongly convex (proof)

Adding constraints in a constrained problem

Properties of convex function with Lipshitz continuous gradient (Prof. Nesterov's textbook)

Existence of unique maximizer in $\mathbb{R}^n$

$ {L}_{1} $ Norm Regularized Least Squares - Strict Convexity Property

Gradient and Hessian of a function defined in terms of matrix inverse

Show non-convexity of a function with vector input

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