List questions from linear-matrix-inequality

Published on 05 Jul 2015 - 15:14

289

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Explicit LMI representation of sum of square (SOS) cones

Published on 12 Jul 2015 - 13:27

2.7k

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Solution set of an LMI is convex

Published on 22 Mar 2026 - 2:51

766

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Expressing an inequality constraint as a linear matrix inequality (LMI)

Published on 16 Sep 2015 - 18:49

178

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Semidefinite programming formulation for a simple minimization

Published on 23 Sep 2015 - 19:01

108

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Is the ellipsoid $x'Qx < \alpha$ equivalent to $\alpha Q^{-1} - x x' \succ 0$?

Published on 23 Feb 2026 - 1:28

400

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Linear Matrix Inequality - "HOW TO"

Published on 24 Mar 2026 - 9:06

66

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How to deal with a convex constraint

Published on 06 Mar 2026 - 23:50

59

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Can we solve $KQK^*=I$?

Published on 24 Mar 2026 - 22:54

49

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Easy linear matrix inequality (LMI) problem

Published on 02 Jun 2016 - 11:52

70

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Can $A^2\preceq \gamma^2 B^2$ lead to that $A\preceq \gamma B$?

Published on 18 Mar 2026 - 23:57

396

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A spectrahedron is a quadric cone when matrices in LMI are in $\mathbb{R}^{2\times 2}$

Published on 18 Mar 2026 - 23:53

83

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Solving Riccati-like matrix inequality

Published on 19 Aug 2013 - 8:45

1.5k

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Is it true that $A^2\succ B^2$ implies that $A\succ B$, but not the converse?

Published on 01 Oct 2013 - 8:09

356

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Are $A^TP+PA<0$, $P>0$ and $A^TP+PA\leq-I$, $P\geq I$ equivalent?

Published on 06 Dec 2013 - 10:00

List Question

Is there a way to generate a random matrix that satisfies a given linear matrix inequality (LMI)?

Explicit LMI representation of sum of square (SOS) cones

Solution set of an LMI is convex

Expressing an inequality constraint as a linear matrix inequality (LMI)

Semidefinite programming formulation for a simple minimization

Is the ellipsoid $x'Qx < \alpha$ equivalent to $\alpha Q^{-1} - x x' \succ 0$?

Linear Matrix Inequality - "HOW TO"

How to deal with a convex constraint

Can we solve $KQK^*=I$?

Easy linear matrix inequality (LMI) problem

Can $A^2\preceq \gamma^2 B^2$ lead to that $A\preceq \gamma B$?

A spectrahedron is a quadric cone when matrices in LMI are in $\mathbb{R}^{2\times 2}$

Solving Riccati-like matrix inequality

Is it true that $A^2\succ B^2$ implies that $A\succ B$, but not the converse?

Are $A^TP+PA<0$, $P>0$ and $A^TP+PA\leq-I$, $P\geq I$ equivalent?

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