Question

How to show that the convex hull of a set describes a polyhedron?

score 968 · Answer 1 · 2018-05-08 05:06:48

968

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How to show that the convex hull of a set describes a polyhedron?

Published on 08 May 2018 - 5:06

score 240 · Answer 2 · 2026-03-25 09:33:20

240

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How to run gradient descent algorithm when parameter space is constrained?

Published on 25 Mar 2026 - 9:33

score 258 · Answer 3 · 2026-03-24 19:01:23

258

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In semidefinite programming what is the cone and what does interior for strong duality mean?

Published on 24 Mar 2026 - 19:01

score 1.4k · Answer 4 · 2026-03-25 01:16:38

1.4k

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Convert a non-convex QCQP into a convex counterpart

Published on 25 Mar 2026 - 1:16

score 461 · Answer 5 · 2026-03-25 07:42:50

461

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Explanation needed for the representation of simplex as a polyhedron

Published on 25 Mar 2026 - 7:42

score 36 · Answer 6 · 2018-05-09 11:10:43

36

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Affine Subspaces $\mathbf{a} + V = \{ \mathbf{a} + \mathbf{w} : \mathbf{w} \in V\}$: Adding/Subtracting Non-Set Objects (Vector Elements) from Sets?

Published on 09 May 2018 - 11:10

score 211 · Answer 7 · 2026-03-25 12:37:21

211

Views

Check the convexity of a function with respect to a matrix.

Published on 25 Mar 2026 - 12:37

score 148 · Answer 8 · 2026-03-24 22:08:40

148

Views

Prove that $X \succeq xx^T \iff \begin{bmatrix} X & x \\ x^T & 1\end{bmatrix} \succeq 0$

Published on 24 Mar 2026 - 22:08

score 626 · Answer 9 · 2026-03-26 07:02:18

626

Views

How to Solve Linear Least Squares with Unit Simplex Constraint

Published on 26 Mar 2026 - 7:02

score 94 · Answer 10 · 2026-03-21 18:06:26

94

Views

A Generalized Water Filling Problem: $\max_{1^Tx\in[0,1]}\sum_j\ln(\sum_ia_{i,j}x_i)$

Published on 21 Mar 2026 - 18:06

score 143 · Answer 11 · 2018-05-10 09:25:37

143

Views

How to optimize $\sum_{i=1}^{T}\|A_ix - b_i\|^2$ subject t0 $\sum_i x = 1$ and $x \geq 0$

Published on 25 Mar 2026 - 6:22

score 120 · Answer 13 · 2026-03-24 22:06:53

120

Views

Improving duality gap by adding redundant inequalities

Published on 24 Mar 2026 - 22:06

score 122 · Answer 14 · 2026-03-22 13:32:15

122

Views

Formulate $\min \dfrac{\|Ax-b\|^2_1}{1-\|x\|_\infty}$ as a SOCP

Published on 22 Mar 2026 - 13:32

score 339 · Answer 15 · 2026-03-25 19:10:24

339

Views

How to derive the following Matrix form of the ellipse equation?

Published on 25 Mar 2026 - 19:10

List Question

How to show that the convex hull of a set describes a polyhedron?

How to run gradient descent algorithm when parameter space is constrained?

In semidefinite programming what is the cone and what does interior for strong duality mean?

Convert a non-convex QCQP into a convex counterpart

Explanation needed for the representation of simplex as a polyhedron

Affine Subspaces $\mathbf{a} + V = \{ \mathbf{a} + \mathbf{w} : \mathbf{w} \in V\}$: Adding/Subtracting Non-Set Objects (Vector Elements) from Sets?

Check the convexity of a function with respect to a matrix.

Prove that $X \succeq xx^T \iff \begin{bmatrix} X & x \\ x^T & 1\end{bmatrix} \succeq 0$

How to Solve Linear Least Squares with Unit Simplex Constraint

A Generalized Water Filling Problem: $\max_{1^Tx\in[0,1]}\sum_j\ln(\sum_ia_{i,j}x_i)$

Related to problem 2.19 of convex optimization book by Stephen Boyd

How to optimize $\sum_{i=1}^{T}\|A_ix - b_i\|^2$ subject t0 $\sum_i x = 1$ and $x \geq 0$

Improving duality gap by adding redundant inequalities

Formulate $\min \dfrac{\|Ax-b\|^2_1}{1-\|x\|_\infty}$ as a SOCP

How to derive the following Matrix form of the ellipse equation?

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