List questions from convex-optimization

Published on 14 Apr 2026 - 3:12

319

Views

Analytical solution for a neat semidefinite program (SDP)

Published on 12 Apr 2026 - 3:14

107

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Show set of vectors with element-wise product is convex

Published on 13 Apr 2026 - 12:33

59

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Equivalence of full and sequential minimization

Published on 17 Apr 2026 - 5:26

36

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Show that $\|x\|_1 = 1/2 \inf_{y > 0}(\sum_{i=1}^{m}\frac{x_i^2}{y_i} + 1^Ty)$

Published on 16 Apr 2026 - 6:45

64

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Analytic formula for $\sup_{|x| \le 1} ax + |x-b|$ as a function of $a,b \in \mathbb R$.

Published on 12 Apr 2026 - 17:36

258

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Fenchel conjugate of $f(x)=\frac{1}{2}\|x-y\|^2$

Published on 16 Apr 2026 - 2:27

105

Views

Condition for value function to be strictly concave

Published on 12 Apr 2026 - 21:38

165

Views

Matrix norm minimization and matrix inner product

Published on 13 Apr 2026 - 13:47

49

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How to solve this constrained optimization problem using Lagrange multipliers?

Published on 09 Apr 2026 - 10:21

25

Views

Exponential parametrization of dual variables in an optimization problem

Published on 10 Apr 2026 - 3:21

26

Views

Can the concavity be proved wrong by using following argument?

Published on 10 Apr 2026 - 3:01

25

Views

The gap between two equivalent optimization problems

Published on 11 Apr 2026 - 17:18

47

Views

Conversion of minimization to maximization objective under Frobenius norm

Published on 10 Apr 2026 - 15:35

225

Views

Danskin theorem for semicontinuous function over one of the variable

Published on 12 Apr 2026 - 0:22

List Question

Graph optimization problem linked with maximal spanning tree.

Analytical solution for a neat semidefinite program (SDP)

Show set of vectors with element-wise product is convex

Equivalence of full and sequential minimization

Show that $\|x\|_1 = 1/2 \inf_{y > 0}(\sum_{i=1}^{m}\frac{x_i^2}{y_i} + 1^Ty)$

Analytic formula for $\sup_{|x| \le 1} ax + |x-b|$ as a function of $a,b \in \mathbb R$.

Fenchel conjugate of $f(x)=\frac{1}{2}\|x-y\|^2$

Condition for value function to be strictly concave

Matrix norm minimization and matrix inner product

How to solve this constrained optimization problem using Lagrange multipliers?

Exponential parametrization of dual variables in an optimization problem

Can the concavity be proved wrong by using following argument?

The gap between two equivalent optimization problems

Conversion of minimization to maximization objective under Frobenius norm

Danskin theorem for semicontinuous function over one of the variable

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