List questions from linear-matrix-inequality

Published on 17 Oct 2017 - 1:13

126

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Matrix operator norm inequality proof

Published on 21 Oct 2020 - 0:19

109

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Why is the condition $\|Z\| < 1$ equivalent to $I - ZZ^{\top} > 0$?

Published on 03 Nov 2020 - 11:02

72

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Upper bounding the largest singular value of a matrix $X$ via LMI — is it correct?

Published on 03 Nov 2020 - 18:04

61

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Linear matrix inequality derivation from Risk-averse MPC problem

Published on 23 Feb 2026 - 2:37

128

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Is the direction of inequality preserved when multiplying the linear matrix inequality (LMI) by a nonsingular square matrix left and right?

Published on 16 Nov 2020 - 18:05

122

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If $A\succ0$ and $J$ is the matrix of ones, then $A \succeq J$ if and only if $\mathrm{trace}(A^{-1}J)\leq 1$

Published on 22 Nov 2020 - 6:36

110

Views

Can $X - Y A^\dagger Y^T\succ0$ be written as an LMI where $A^\dagger$ is a pseudoinverse?

Published on 29 Nov 2020 - 21:15

201

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Is there an efficient algorithm to determine if a linear matrix inequality has a solution?

Published on 24 Dec 2020 - 0:16

26

Views

A problem combining linear and nonlinear matrix inequalities

Published on 29 Dec 2020 - 3:22

25

Views

Linear matrix inequality given the bounds

Published on 10 Jan 2021 - 17:10

37

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The equivalence of a 2 by 2 positive semidefinite matrix and a 3 by 3 positive semidefinite matrix?

Published on 18 Jan 2021 - 3:59

334

Views

KKT conditions for $\max \log \det(X)$ with LMI constraints

Published on 15 Feb 2021 - 2:02

119

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Reformulation of LMI

Published on 15 Feb 2021 - 22:54

440

Views

A puzzling KKT for LMI vs. scalar constraint

Published on 16 Feb 2021 - 16:44

List Question

Riccati inequalities solution via LMI

Matrix operator norm inequality proof

Why is the condition $\|Z\| < 1$ equivalent to $I - ZZ^{\top} > 0$?

Upper bounding the largest singular value of a matrix $X$ via LMI — is it correct?

Linear matrix inequality derivation from Risk-averse MPC problem

Is the direction of inequality preserved when multiplying the linear matrix inequality (LMI) by a nonsingular square matrix left and right?

If $A\succ0$ and $J$ is the matrix of ones, then $A \succeq J$ if and only if $\mathrm{trace}(A^{-1}J)\leq 1$

Can $X - Y A^\dagger Y^T\succ0$ be written as an LMI where $A^\dagger$ is a pseudoinverse?

Is there an efficient algorithm to determine if a linear matrix inequality has a solution?

A problem combining linear and nonlinear matrix inequalities

Linear matrix inequality given the bounds

The equivalence of a 2 by 2 positive semidefinite matrix and a 3 by 3 positive semidefinite matrix?

KKT conditions for $\max \log \det(X)$ with LMI constraints

Reformulation of LMI

A puzzling KKT for LMI vs. scalar constraint

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