Question

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

score 929 · Answer 1 · 2026-03-25 01:18:48

929

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

Published on 25 Mar 2026 - 1:18

score 629 · Answer 2 · 2026-03-28 03:08:37

629

Views

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

Published on 28 Mar 2026 - 3:08

score 295 · Answer 3 · 2026-03-25 06:05:32

295

Views

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

Published on 25 Mar 2026 - 6:05

score 497 · Answer 4 · 2026-03-25 11:10:43

497

Views

operator concavity of a function involving trace and logarithm

Published on 25 Mar 2026 - 11:10

score 428 · Answer 5 · 2026-03-25 06:03:28

428

Views

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

Published on 25 Mar 2026 - 6:03

score 590 · Answer 6 · 2018-07-18 09:39:56

590

Views

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

Published on 18 Jul 2018 - 9:39

score 236 · Answer 7 · 2026-03-25 14:03:25

236

Views

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

Published on 25 Mar 2026 - 14:03

score 185 · Answer 8 · 2026-03-25 04:41:12

185

Views

Lower bound for the number of edges in a Minkowski sum

Published on 25 Mar 2026 - 4:41

score 1.9k · Answer 9 · 2018-07-19 06:15:15

1.9k

Views

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

Published on 19 Jul 2018 - 6:15

score 4.2k · Answer 10 · 2026-03-25 04:53:57

4.2k

Views

Why Does the Projected Gradient Descent Method Work?

Published on 25 Mar 2026 - 4:53

score 128 · Answer 11 · 2018-07-20 15:26:50

128

Views

How many cusps/corners can a convex function have?

Published on 20 Jul 2018 - 15:26

score 129 · Answer 12 · 2018-07-21 03:02:47

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 69 · Answer 13 · 2018-07-21 08:12:20

69

Views

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

Published on 21 Jul 2018 - 8:12

score 261 · Answer 14 · 2026-03-26 02:47:51

261

Views

What is the measure of this set of matrices

Published on 26 Mar 2026 - 2:47

score 679 · Answer 15 · 2018-07-22 08:00:02

679

Views

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

Published on 22 Jul 2018 - 8:00

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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