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14h
comment a problem about the application of Banach-Steinhaus theorem
This is not a question.
14h
revised Periodic Functions
this is not functional analysis
Nov
21
comment Which is the better way to optimize a function with 3 variables
In any case, you should add a line search, see en.wikipedia.org/wiki/Line_search and en.wikipedia.org/wiki/Backtracking_line_search.
Nov
20
answered The polar of a set: Importance and Applications
Nov
20
comment Why is the conjugate direction better than the negative of gradient, when minimizing a function
This answer is not true. In the special case that $A$ is the identity, CG (and steepest descent) will finish in only one step. After your transformation $T$, however, CG will take two steps.
Nov
15
answered Two versions of Lax-Milgram theorem
Nov
15
comment Two versions of Lax-Milgram theorem
The second is not Lax-Milgram, but the Riesz representation theorem en.wikipedia.org/wiki/Riesz_representation_theorem.
Nov
2
comment Strong convexity on sets?
I think that is not possible. You could, however, define a $m$-strongly-convex hull by intersecting all $m$-strongly-convex sets containing your initial set.
Nov
1
answered Strong convexity on sets?
Sep
30
awarded  Explainer
Sep
16
comment normal cone to sublevel set
Oh, yes, you are right.
Sep
15
comment normal cone to sublevel set
For this inequality, I only used the definition of the directional derivative and the convexity of $f$. I did not used that $\mathrm{cone}\partial f(\bar x)$ is closed, but only $\mathrm{cone} A^\circ \supset A^\circ$, see edit.
Sep
15
revised normal cone to sublevel set
added 81 characters in body
Sep
15
answered normal cone to sublevel set
Sep
13
comment Property of intersections of Bochner spaces
I'm not sure whether it works, by you can have a look on interpolation theory, e.g., the book by Tartar.
Sep
13
answered Constructing a function $u\in (W_0^{1,p}(B)\cap C(B))\setminus C(\overline{B})$.
Sep
13
answered Prove that solution of a variational problem exists
Sep
13
answered Are all definite integrals considered functionals?
Sep
4
comment Fréchet normal cone
Then you could answer your own question. That may help other users.
Sep
3
comment Fréchet normal cone
Can you show what you have tried?