Question

Is the positive semidefinite cone still self-dual in the larger vector space of all real $n \times n$ matrices?

score 930 · Answer 1 · 2026-05-11 02:50:04

930

Views

Is the positive semidefinite cone still self-dual in the larger vector space of all real $n \times n$ matrices?

Published on 11 May 2026 - 2:50

score 630 · Answer 2 · 2026-05-14 23:27:10

630

Views

Minimize $f(x)=\max\{|x_1|,|x_2|\}$ subject to $g(x)=a_1x_1+a_2x_2+b\leq 0$

Published on 14 May 2026 - 23:27

score 298 · Answer 3 · 2026-05-10 15:13:23

298

Views

Check if convex polytope contained inside a union of convex polytopes?

Published on 10 May 2026 - 15:13

score 500 · Answer 4 · 2026-05-11 03:24:45

500

Views

operator concavity of a function involving trace and logarithm

Published on 11 May 2026 - 3:24

score 434 · Answer 5 · 2026-05-10 14:06:50

434

Views

Upper bound for the dual norm of a subgradient of a convex function?

Published on 10 May 2026 - 14:06

score 593 · Answer 6 · 2026-04-12 19:27:26

593

Views

Is it true that convex function on bounded subset of $R^n$ is bounded below?

Published on 12 Apr 2026 - 19:27

score 239 · Answer 7 · 2026-05-11 01:23:06

239

Views

What is the condition to have a Lipschitz continuous the gradient for convex function?

Published on 11 May 2026 - 1:23

score 187 · Answer 8 · 2026-05-10 15:14:04

187

Views

Lower bound for the number of edges in a Minkowski sum

Published on 10 May 2026 - 15:14

score 1.9k · Answer 9 · 2026-04-13 23:46:59

1.9k

Views

Why is $xy$ not convex although it is the product of nonnegative increasing convex functions?

Published on 13 Apr 2026 - 23:46

score 4.2k · Answer 10 · 2026-05-10 20:08:29

4.2k

Views

Why Does the Projected Gradient Descent Method Work?

Published on 10 May 2026 - 20:08

score 131 · Answer 11 · 2026-04-11 11:33:26

131

Views

How many cusps/corners can a convex function have?

Published on 11 Apr 2026 - 11:33

score 131 · Answer 12 · 2026-04-16 06:36:36

with vector $\mathbf{x}=[x_1,x_2,..,x_n]$, is $f_i(\mathbf{x})=x_i \exp(-(x_1+x_2+...x_i))$ concave for vector $\mathbf{x}$ ????

score 72 · Answer 13 · 2026-04-11 19:02:35

72

Views

Is it true that $\frac{1}{meas(\Omega) }\int_{\Omega}\nabla u\in conv [\nabla u(\Omega)]$?

Published on 11 Apr 2026 - 19:02

score 267 · Answer 14 · 2026-05-10 12:54:11

267

Views

What is the measure of this set of matrices

Published on 10 May 2026 - 12:54

score 682 · Answer 15 · 2026-04-15 01:20:12

682

Views

Point wise maximum of the difference of two convex functions is also a difference of two convex functions

Published on 15 Apr 2026 - 1:20

List Question

Is the positive semidefinite cone still self-dual in the larger vector space of all real $n \times n$ matrices?

Minimize $f(x)=\max\{|x_1|,|x_2|\}$ subject to $g(x)=a_1x_1+a_2x_2+b\leq 0$

Check if convex polytope contained inside a union of convex polytopes?

operator concavity of a function involving trace and logarithm

Upper bound for the dual norm of a subgradient of a convex function?

Is it true that convex function on bounded subset of $R^n$ is bounded below?

What is the condition to have a Lipschitz continuous the gradient for convex function?

Lower bound for the number of edges in a Minkowski sum

Why is $xy$ not convex although it is the product of nonnegative increasing convex functions?

Why Does the Projected Gradient Descent Method Work?

How many cusps/corners can a convex function have?

with vector $\mathbf{x}=[x_1,x_2,..,x_n]$, is $f_i(\mathbf{x})=x_i \exp(-(x_1+x_2+...x_i))$ concave for vector $\mathbf{x}$ ????

Is it true that $\frac{1}{meas(\Omega) }\int_{\Omega}\nabla u\in conv [\nabla u(\Omega)]$?

What is the measure of this set of matrices

Point wise maximum of the difference of two convex functions is also a difference of two convex functions

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