List questions from spectrahedra

Published on 07 May 2026 - 5:48

694

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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 07 May 2026 - 4:58

465

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Every convex polyhedron is a spectrahedron

Published on 07 May 2026 - 11:41

246

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Does cone associated with PSD matrix always convex?

Published on 04 May 2026 - 13:01

322

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

Published on 29 Apr 2026 - 2:52

390

Views

What is the formula for projection onto spectraplex?

Published on 02 May 2026 - 2:27

642

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

Published on 06 May 2026 - 22:21

164

Views

Geometric center of convex set of positive semidefinite matrices

Published on 06 May 2026 - 10:55

38

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

Published on 06 May 2026 - 4:34

2.7k

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How to plot the PSD cone in MATLAB

Published on 06 May 2026 - 14:30

141

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

Published on 28 Apr 2026 - 7:38

1.1k

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

Published on 04 May 2026 - 10:33

422

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

Published on 04 May 2026 - 12:30

26

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

Published on 04 May 2026 - 13:01

2.7k

Views

Solution set of an LMI is convex

Published on 04 May 2026 - 12:48

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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