List questions from linear-matrix-inequality

Published on 13 Apr 2026 - 19:34

72

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From where does positive semidefinite thing came

Published on 14 Apr 2026 - 2:42

41

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Matrix inequality with different dimension and square root

Published on 11 Apr 2026 - 20:53

49

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LMI robustness to small perturbations

Published on 25 Mar 2026 - 10:52

42

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Wrong dimension for linear matrix inequalities in control

Published on 10 Apr 2026 - 18:09

63

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Converting nonlinear matrix inequality into an LMI

Published on 10 May 2026 - 19:50

36

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Does the solution exist for the linear matrix inequality $A^TP+PA-Q<0$, where $P=P^T>0$, $Q=Q^T>0$?

Published on 16 Apr 2026 - 0:02

37

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Is it true that $\exists X \succeq 0, AXB \succeq 0 \implies \exists Y \succ 0, AYB \succ 0$?

Published on 15 Apr 2026 - 5:23

25

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For a fixed positive definite $A$, is $(x,B) \to x^TB^{-1/2} A B^{-1/2} x$ always jointly convex?

Published on 16 Apr 2026 - 18:06

51

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For a fixed positive definite $A$ anb vector $x$, is $B\mapsto x^T B^{1/2} A B^{1/2} x$ always concave?

Published on 25 Mar 2026 - 10:57

24

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How can I convert a strict linear (affine) matrix inequality feasibility problem into a non-strict one?

Published on 08 Apr 2026 - 22:05

32

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Is there any inequality involving the Frobenius norm and the dimension of matrix?

Published on 14 Apr 2026 - 17:29

103

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Variation of linear matrix inequality

Published on 10 Apr 2026 - 23:33

93

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How to construct solutions for a set of polynomial matrix inequalities?

Published on 12 Apr 2026 - 2:28

173

Views

Express $\|y\|_2 \leq t$ as a linear matrix inequality (LMI)

Published on 12 Apr 2026 - 8:00

List Question

Why are these linear matrix inequalities equivalent?

From where does positive semidefinite thing came

Matrix inequality with different dimension and square root

LMI robustness to small perturbations

Wrong dimension for linear matrix inequalities in control

Converting nonlinear matrix inequality into an LMI

Does the solution exist for the linear matrix inequality $A^TP+PA-Q<0$, where $P=P^T>0$, $Q=Q^T>0$?

Is it true that $\exists X \succeq 0, AXB \succeq 0 \implies \exists Y \succ 0, AYB \succ 0$?

For a fixed positive definite $A$, is $(x,B) \to x^TB^{-1/2} A B^{-1/2} x$ always jointly convex?

For a fixed positive definite $A$ anb vector $x$, is $B\mapsto x^T B^{1/2} A B^{1/2} x$ always concave?

How can I convert a strict linear (affine) matrix inequality feasibility problem into a non-strict one?

Is there any inequality involving the Frobenius norm and the dimension of matrix?

Variation of linear matrix inequality

How to construct solutions for a set of polynomial matrix inequalities?

Express $\|y\|_2 \leq t$ as a linear matrix inequality (LMI)

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