List questions from convex-analysis | MathQa

Let C be a nonempty, closed convex subset of X. Let $x,y\in X$. Show that $y=P_c(x)\iff y\in (Id + N_c)^{-1}(x)$.

Published on 28 Dec 2024 - 7:01

Is the ellipsoid $x'Qx < \alpha$ equivalent to $\alpha Q^{-1} - x x' \succ 0$?

Published on 26 Dec 2024 - 10:45

how to prove a set is a closed half space: here is the condition

Published on 28 Dec 2024 - 0:30

Convexity of the set

Published on 12 Jan 2025 - 17:28

Uniformly convex approximation of convex domain

Published on 03 Jan 2025 - 0:02

Does cubic spline interpolation preserve both monotony and convexity?

Published on 28 Dec 2024 - 1:21

Consider the Hilbert product space $X\times X$

Published on 12 Jan 2025 - 8:27

Legendre transform of a norm

Published on 12 Jan 2025 - 18:22

Uniformly convex set, lower level sets

Published on 28 Dec 2024 - 13:09

Degree of nef toric divisors which are not big

Published on 31 Dec 2024 - 0:40