Question

If a strictly convex function attains a minimum on the unit ball, does it attain a minimum on every weak*-compact set?

score 296 · Answer 1 · 2026-04-12 05:17:43

296

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If a strictly convex function attains a minimum on the unit ball, does it attain a minimum on every weak*-compact set?

Published on 12 Apr 2026 - 5:17

score 513 · Answer 2 · 2026-04-16 06:53:35

513

Views

Solve Least Squares with Tikhonov Regularization Linear Equality and Non Negative Constrains

Published on 16 Apr 2026 - 6:53

score 110 · Answer 3 · 2026-04-11 05:18:48

110

Views

Relative Phase Constraints in Convex Optimization with Complex Variables

Published on 11 Apr 2026 - 5:18

score 43 · Answer 4 · 2026-04-15 05:34:15

43

Views

Prove that $x^*$ is an optimal solution where $f_0$ is $C^1$ and convex and $f_i$ are $C^1$ and strictly convex functions.

Published on 15 Apr 2026 - 5:34

score 48 · Answer 5 · 2026-04-16 07:07:13

48

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Does the follwing vector has any special name?

Published on 16 Apr 2026 - 7:07

score 76 · Answer 6 · 2026-04-13 06:24:52

76

Views

Integration and dot product

Published on 13 Apr 2026 - 6:24

score 361 · Answer 7 · 2026-04-11 03:42:36

361

Views

Problem 13.7 of Additional Exercises by Stephen Boyd: Energy consumption optimization problem

Published on 11 Apr 2026 - 3:42

score 1.1k · Answer 8 · 2026-04-11 20:11:25

1.1k

Views

How to prove strict complementary slackness by means of Farkas' lemma

Published on 11 Apr 2026 - 20:11

score 52 · Answer 9 · 2026-03-26 03:10:47

52

Views

Question about the FG algorithm (convex optimization) (Flury 1984)

Published on 26 Mar 2026 - 3:10

score 1.1k · Answer 10 · 2026-04-16 09:13:45

1.1k

Views

Proving Convexity of KL Divergence w.r.t. first argument?

Published on 16 Apr 2026 - 9:13

score 157 · Answer 11 · 2026-04-10 12:50:20

157

Views

How can I convert the following optimization problem to a QCQP. minimize ||Gx − h||4.

Published on 10 Apr 2026 - 12:50

score 118 · Answer 12 · 2026-04-12 08:41:16

118

Views

Applications of the weighted matrix exponential $x^\top e^A x$ (a quadratic function)

Published on 12 Apr 2026 - 8:41

score 33 · Answer 13 · 2026-04-16 12:09:03

33

Views

Prove $\sum_{i=1}^{m}\lambda_i^\leq\frac{f(\hat{x})-f^}{\underset{i=1,\ldots,m}{\min}(-g_i(\hat{x}))}$

Published on 16 Apr 2026 - 12:09

score 171 · Answer 14 · 2026-04-14 03:17:48

171

Views

Mathematical symbol is "relative compliment"?

Published on 14 Apr 2026 - 3:17

score 629 · Answer 15 · 2026-04-12 10:35:40

629

Views

$\alpha$-convexity of a function - formal definition and examples (related to a particular homework)

Published on 12 Apr 2026 - 10:35

List Question

If a strictly convex function attains a minimum on the unit ball, does it attain a minimum on every weak*-compact set?

Solve Least Squares with Tikhonov Regularization Linear Equality and Non Negative Constrains

Relative Phase Constraints in Convex Optimization with Complex Variables

Prove that $x^*$ is an optimal solution where $f_0$ is $C^1$ and convex and $f_i$ are $C^1$ and strictly convex functions.

Does the follwing vector has any special name?

Integration and dot product

Problem 13.7 of Additional Exercises by Stephen Boyd: Energy consumption optimization problem

How to prove strict complementary slackness by means of Farkas' lemma

Question about the FG algorithm (convex optimization) (Flury 1984)

Proving Convexity of KL Divergence w.r.t. first argument?

How can I convert the following optimization problem to a QCQP. minimize ||Gx − h||4.

Applications of the weighted matrix exponential $x^\top e^A x$ (a quadratic function)

Prove $\sum_{i=1}^{m}\lambda_i^\leq\frac{f(\hat{x})-f^}{\underset{i=1,\ldots,m}{\min}(-g_i(\hat{x}))}$

Mathematical symbol is "relative compliment"?

$\alpha$-convexity of a function - formal definition and examples (related to a particular homework)

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