List questions from spectrahedra

Published on 16 Mar 2026 - 22:10

686

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Convexity of the set $C = \{x \in \Bbb R^n \mid x^T Ax \leq b\}$ where $A \in S^n$, $A \succeq 0$ and $b \geq 0$

Published on 16 Mar 2026 - 12:01

453

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Every convex polyhedron is a spectrahedron

Published on 16 Mar 2026 - 22:08

240

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Does cone associated with PSD matrix always convex?

Published on 17 Mar 2026 - 16:21

317

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Finding the dual of the feasible set of a linear matrix inequality (LMI)

Published on 20 Mar 2026 - 8:09

383

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What is the formula for projection onto spectraplex?

Published on 18 Mar 2026 - 8:38

635

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What is the surface area of the 3-dimensional elliptope?

Published on 17 Mar 2026 - 14:56

155

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Geometric center of convex set of positive semidefinite matrices

Published on 17 Mar 2026 - 21:51

31

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Is there a way to identify singular points in a spectrahedron without finding the entire set?

Published on 16 Mar 2026 - 11:31

2.7k

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How to plot the PSD cone in MATLAB

Published on 23 Mar 2026 - 3:15

137

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What can we say about the form of the solution set $\{B : \mbox{tr} (AB) < 0\}$?

Published on 22 Mar 2026 - 18:28

1.1k

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What is the volume of the $3$-dimensional elliptope?

Published on 25 Mar 2026 - 12:22

418

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Is the set $S = \{x \in [0, \infty)^2 \mid x_1 x_2^2 \leq 1\}$ convex?

Published on 25 Mar 2026 - 15:22

20

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Applying an affine transformation from the matrix to vector representations of spectahedra

Published on 22 Mar 2026 - 5:11

2.7k

Views

Solution set of an LMI is convex

Published on 22 Mar 2026 - 2:51

List Question

Why is the feasible set of solutions to an SDP a spectrahedron?

Convexity of the set $C = \{x \in \Bbb R^n \mid x^T Ax \leq b\}$ where $A \in S^n$, $A \succeq 0$ and $b \geq 0$

Every convex polyhedron is a spectrahedron

Does cone associated with PSD matrix always convex?

Finding the dual of the feasible set of a linear matrix inequality (LMI)

What is the formula for projection onto spectraplex?

What is the surface area of the 3-dimensional elliptope?

Geometric center of convex set of positive semidefinite matrices

Is there a way to identify singular points in a spectrahedron without finding the entire set?

How to plot the PSD cone in MATLAB

What can we say about the form of the solution set $\{B : \mbox{tr} (AB) < 0\}$?

What is the volume of the $3$-dimensional elliptope?

Is the set $S = \{x \in [0, \infty)^2 \mid x_1 x_2^2 \leq 1\}$ convex?

Applying an affine transformation from the matrix to vector representations of spectahedra

Solution set of an LMI is convex

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