Question

Is $\min\limits_{x,y}\{\sqrt{1+x^2}-\sqrt{1-y^2}\mid C\}$ is convex problem?

score 31 · Answer 1 · 2026-03-26 17:36:20

31

Views

Is $\min\limits_{x,y}\{\sqrt{1+x^2}-\sqrt{1-y^2}\mid C\}$ is convex problem?

Published on 26 Mar 2026 - 17:36

score 33 · Answer 2 · 2026-04-10 13:51:06

33

Views

Convexity of $x^a$ using the first order convexity conditions

Published on 10 Apr 2026 - 13:51

score 323 · Answer 3 · 2026-04-06 07:39:04

323

Views

Is $C=\left\{ \left(x,y,z\right)^{T}\mid xyz\geq1,\sqrt{xy}\geq z,x>0,y>0,z>0\right\} $ is a convex set?

Published on 06 Apr 2026 - 7:39

score 113 · Answer 4 · 2026-04-13 02:34:04

113

Views

Is this a sufficient condition for convexity?

Published on 13 Apr 2026 - 2:34

score 164 · Answer 5 · 2026-04-09 10:04:36

164

Views

If $(X,\|\cdot\|_1)$ is strictly convex, then $(X,\|\cdot\|_2)$ is NOT ALWAYS strictly convex, where $\|\cdot\|_1$ and $\|\cdot\|_2$ are equivalent.

Published on 09 Apr 2026 - 10:04

score 368 · Answer 6 · 2026-04-12 04:48:06

368

Views

Is the difference of a convex function and a strictly convex function convex?

Published on 12 Apr 2026 - 4:48

score 18 · Answer 7 · 2026-03-21 17:06:53

18

Views

Given that a matrix is PSD, can we show whether this function is strictly convex?

Published on 21 Mar 2026 - 17:06

score 233 · Answer 8 · 2026-03-28 08:31:05

233

Views

Hessian matrix (2x2) has trace,det=0 but a negative eigenvalue--is this matrix PSD?

Published on 28 Mar 2026 - 8:31

score 45 · Answer 9 · 2026-03-26 17:36:48

45

Views

In general, are functions of this form convex?

Published on 26 Mar 2026 - 17:36

score 75 · Answer 10 · 2026-04-11 15:01:43

75

Views

Is this function coercive? Is my method reasonable?

Published on 11 Apr 2026 - 15:01

score 102 · Answer 11 · 2026-04-11 14:52:24

102

Views

Is this function coercive

Published on 11 Apr 2026 - 14:52

score 26 · Answer 12 · 2020-05-01 00:11:33

26

Views

Is the set $Unif(0,\frac{1}{n})$ for odd and even $n$ a 2-alternating capacity?

Published on 01 May 2020 - 0:11

score 53 · Answer 13 · 2026-03-26 00:49:20

53

Views

Let $f(x,y)=\left(\frac{1}{2}x^{T}Qx\right)\left(\frac{1}{2}y^{T}Ry\right)$.given $g(x)=f(x,x)$ not convex.does $f$ convex?

Published on 26 Mar 2026 - 0:49

score 163 · Answer 14 · 2026-04-01 11:28:41

163

Views

One-sided derivatives - convexity

Published on 01 Apr 2026 - 11:28

score 21 · Answer 15 · 2020-05-02 11:16:26

21

Views

Reference request on the volume of sections of convex bodies in $\mathbb R^n$

Published on 02 May 2020 - 11:16

List Question

Is $\min\limits_{x,y}\{\sqrt{1+x^2}-\sqrt{1-y^2}\mid C\}$ is convex problem?

Convexity of $x^a$ using the first order convexity conditions

Is $C=\left\{ \left(x,y,z\right)^{T}\mid xyz\geq1,\sqrt{xy}\geq z,x>0,y>0,z>0\right\} $ is a convex set?

Is this a sufficient condition for convexity?

If $(X,\|\cdot\|_1)$ is strictly convex, then $(X,\|\cdot\|_2)$ is NOT ALWAYS strictly convex, where $\|\cdot\|_1$ and $\|\cdot\|_2$ are equivalent.

Is the difference of a convex function and a strictly convex function convex?

Given that a matrix is PSD, can we show whether this function is strictly convex?

Hessian matrix (2x2) has trace,det=0 but a negative eigenvalue--is this matrix PSD?

In general, are functions of this form convex?

Is this function coercive? Is my method reasonable?

Is this function coercive

Is the set $Unif(0,\frac{1}{n})$ for odd and even $n$ a 2-alternating capacity?

Let $f(x,y)=\left(\frac{1}{2}x^{T}Qx\right)\left(\frac{1}{2}y^{T}Ry\right)$.given $g(x)=f(x,x)$ not convex.does $f$ convex?

One-sided derivatives - convexity

Reference request on the volume of sections of convex bodies in $\mathbb R^n$

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