Question

Proof that for two invertible symmetric matrices, $ A \preccurlyeq B \iff A^{-1} \preccurlyeq B^{-1}$

score 267 · Answer 1 · 2026-04-15 20:11:25

267

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Proof that for two invertible symmetric matrices, $ A \preccurlyeq B \iff A^{-1} \preccurlyeq B^{-1}$

Published on 15 Apr 2026 - 20:11

score 87 · Answer 2 · 2026-04-15 04:18:56

87

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If $\forall y ≻ 0, \langle \lambda, y \rangle \geq \mu$, is it true that $\mu ≤ 0$ and $ λ \succcurlyeq 0$?

Published on 15 Apr 2026 - 4:18

score 863 · Answer 3 · 2026-03-25 17:52:03

863

Views

Lower convex envelope of a piecewise function

Published on 25 Mar 2026 - 17:52

score 54 · Answer 4 · 2026-04-13 06:11:49

54

Views

a subset of $\mathbb R^2$ for which minimum distance is reached exactly once is convex and closed.

Published on 13 Apr 2026 - 6:11

score 3.4k · Answer 5 · 2026-04-12 10:37:56

3.4k

Views

Proving convexity of quadratic form using the definition of symmetric positive semidefinite

Published on 12 Apr 2026 - 10:37

score 286 · Answer 6 · 2026-04-23 01:59:47

286

Views

Convexity of the set of Hurwitz matrices

Published on 23 Apr 2026 - 1:59

score 251 · Answer 7 · 2026-04-13 20:27:48

251

Views

convex combination of scalars

Published on 13 Apr 2026 - 20:27

score 96 · Answer 8 · 2026-04-11 13:56:04

96

Views

What are applications of convexity in sciences?

Published on 11 Apr 2026 - 13:56

score 188 · Answer 9 · 2026-04-24 19:56:32

188

Views

Prove a step in exercise 1.19 Brezis's Functional Analysis

Published on 24 Apr 2026 - 19:56

score 138 · Answer 10 · 2026-04-14 22:36:18

138

Views

Showing two conditions are equivalent for a non-empty convex set $K$ of a Hilbert Space $X$.

Published on 14 Apr 2026 - 22:36

score 8.2k · Answer 11 · 2026-04-14 16:34:00

8.2k

Views

Proving that a quadratic form is convex

Published on 14 Apr 2026 - 16:34

score 412 · Answer 12 · 2026-04-11 06:04:03

412

Views

Proof of Theorem 18.8 in Rockafellar's Convex Analysis

Published on 11 Apr 2026 - 6:04

score 262 · Answer 13 · 2026-04-12 10:46:09

262

Views

Is the product of a positive variable and a convex function also convex?

Published on 12 Apr 2026 - 10:46

score 585 · Answer 14 · 2026-04-14 02:51:30

585

Views

Help understanding matrix log determinant calculation

Published on 14 Apr 2026 - 2:51

score 182 · Answer 15 · 2026-04-13 04:12:24

182

Views

Is an achievable upper bound the supremum?

Published on 13 Apr 2026 - 4:12

List Question

Proof that for two invertible symmetric matrices, $ A \preccurlyeq B \iff A^{-1} \preccurlyeq B^{-1}$

If $\forall y ≻ 0, \langle \lambda, y \rangle \geq \mu$, is it true that $\mu ≤ 0$ and $ λ \succcurlyeq 0$?

Lower convex envelope of a piecewise function

a subset of $\mathbb R^2$ for which minimum distance is reached exactly once is convex and closed.

Proving convexity of quadratic form using the definition of symmetric positive semidefinite

Convexity of the set of Hurwitz matrices

convex combination of scalars

What are applications of convexity in sciences?

Prove a step in exercise 1.19 Brezis's Functional Analysis

Showing two conditions are equivalent for a non-empty convex set $K$ of a Hilbert Space $X$.

Proving that a quadratic form is convex

Proof of Theorem 18.8 in Rockafellar's Convex Analysis

Is the product of a positive variable and a convex function also convex?

Help understanding matrix log determinant calculation

Is an achievable upper bound the supremum?

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