Question

Why is $\inf \{ \| X \|_2 \mid X \in S^n \} = \inf\{ t \mid -t I \preceq X \preceq t I, X \in S^n\}$?

score 174 · Answer 1 · 2026-03-25 14:25:20

174

Views

Why is $\inf \{ \| X \|_2 \mid X \in S^n \} = \inf\{ t \mid -t I \preceq X \preceq t I, X \in S^n\}$?

Published on 25 Mar 2026 - 14:25

score 593 · Answer 2 · 2026-04-15 20:53:34

593

Views

How is the affine hull of the unit circle the entire $\mathbb{R}^2$?

Published on 15 Apr 2026 - 20:53

score 334 · Answer 3 · 2026-04-09 01:06:38

334

Views

Proof is quasiconvex function

Published on 09 Apr 2026 - 1:06

score 45 · Answer 4 · 2026-04-17 13:45:39

45

Views

Efficient algorithm for solving $\underset{\mathbf{x}}{\text{min}} \quad \| \mathbf{D\nabla x - b}\|^2_2$ where $\mathbf{D}$ is block-diagonal

Published on 17 Apr 2026 - 13:45

score 505 · Answer 5 · 2026-04-09 01:33:44

505

Views

Why do we care about separating hyperplanes?

Published on 09 Apr 2026 - 1:33

score 102 · Answer 6 · 2026-04-12 09:06:05

102

Views

Is it possible to add vectors in rowspace with vectors in nullspace? Aren't they different dimensions?

Published on 12 Apr 2026 - 9:06

score 339 · Answer 7 · 2026-04-12 06:58:30

339

Views

Figure out what the faces of convex set are?

Published on 12 Apr 2026 - 6:58

score 88 · Answer 8 · 2026-04-10 16:49:09

88

Views

Consider 3-dimensional cube defined by the constraints

Published on 10 Apr 2026 - 16:49

score 379 · Answer 9 · 2026-04-16 07:49:01

379

Views

What is the set $\mathcal{D} = \{x| f(x) \leq 0\} \cap \{x| x\geq 0\}$? where $f$ is convex

Published on 16 Apr 2026 - 7:49

score 25 · Answer 10 · 2026-04-09 17:33:20

25

Views

Analytically comparing two convex programs

Published on 09 Apr 2026 - 17:33

score 1.5k · Answer 11 · 2026-04-12 19:43:57

1.5k

Views

How to show that the set of feasible solutions of a linear program forms a convex set

Published on 12 Apr 2026 - 19:43

score 3.1k · Answer 12 · 2026-04-15 18:59:11

3.1k

Views

Find the matrix projection of a symmetric matrix onto the set of symmetric positive semi definite (PSD) matrices

Published on 15 Apr 2026 - 18:59

score 475 · Answer 13 · 2026-04-12 08:10:30

475

Views

Minimizing a linear function over an affine set

Published on 12 Apr 2026 - 8:10

score 153 · Answer 14 · 2026-03-25 13:53:21

153

Views

Inequality on tangent and secant function

Published on 25 Mar 2026 - 13:53

score 360 · Answer 15 · 2026-04-14 17:23:30

360

Views

Constrained underdetermined least-squares over two variables

Published on 14 Apr 2026 - 17:23

List Question

Why is $\inf \{ \| X \|_2 \mid X \in S^n \} = \inf\{ t \mid -t I \preceq X \preceq t I, X \in S^n\}$?

How is the affine hull of the unit circle the entire $\mathbb{R}^2$?

Proof is quasiconvex function

Efficient algorithm for solving $\underset{\mathbf{x}}{\text{min}} \quad \| \mathbf{D\nabla x - b}\|^2_2$ where $\mathbf{D}$ is block-diagonal

Why do we care about separating hyperplanes?

Is it possible to add vectors in rowspace with vectors in nullspace? Aren't they different dimensions?

Figure out what the faces of convex set are?

Consider 3-dimensional cube defined by the constraints

What is the set $\mathcal{D} = \{x| f(x) \leq 0\} \cap \{x| x\geq 0\}$? where $f$ is convex

Analytically comparing two convex programs

How to show that the set of feasible solutions of a linear program forms a convex set

Find the matrix projection of a symmetric matrix onto the set of symmetric positive semi definite (PSD) matrices

Minimizing a linear function over an affine set

Inequality on tangent and secant function

Constrained underdetermined least-squares over two variables

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