List questions from positive-semidefinite

Published on 09 Apr 2017 - 14:06

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range of sum of positive semidefinite matrices

Published on 10 Apr 2017 - 20:36

34

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Positive semi definite matrix

Published on 16 Apr 2017 - 10:09

1.2k

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If $P$ is positive definite, is$X^T P X$ also positive definite?

Published on 21 Apr 2017 - 15:42

2.2k

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Projection onto positive semidefinite (PSD) matrices with bounded rank

Published on 22 Apr 2017 - 6:29

196

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Inequality on Mahalanobis distance

Published on 25 Apr 2017 - 14:43

343

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Norm inequality about semi-definite matrices

Published on 25 Apr 2017 - 19:38

967

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Constrained quadratic programming with positive semidefinite matrix

Published on 27 Apr 2017 - 18:04

282

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How to prove that the principal minor criterion of Hurwitz does not always imply positive semi definiteness if principal minors are $\geq 0$?

Published on 27 Apr 2017 - 23:20

890

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If a matrix A is non-negative definite, does that imply that A is also positive definite?

Published on 30 Apr 2017 - 16:55

159

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Expressing (epigraph) inequality involving trace of matrix product as a matrix inequality

Published on 25 Mar 2026 - 13:56

863

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How do you minimize a positive semidefinite matrix with trace constraint?

Published on 01 May 2017 - 8:21

399

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Minimum eigenvalue of sums of positive semi-definite matrices

Published on 02 May 2017 - 7:56

69

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Is $Q( x)={x'\left(I_n-\frac{{11^\top}}{n}\right)x}$ a positive semidefinite quadratic form?

Published on 06 May 2017 - 5:28

1.8k

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Is the function $\mbox{tr}(XAX')$ convex?

Published on 06 May 2017 - 19:36

List Question

Identify a symmetric positive semi-definite matrix

range of sum of positive semidefinite matrices

Positive semi definite matrix

If $P$ is positive definite, is$X^T P X$ also positive definite?

Projection onto positive semidefinite (PSD) matrices with bounded rank

Inequality on Mahalanobis distance

Norm inequality about semi-definite matrices

Constrained quadratic programming with positive semidefinite matrix

How to prove that the principal minor criterion of Hurwitz does not always imply positive semi definiteness if principal minors are $\geq 0$?

If a matrix A is non-negative definite, does that imply that A is also positive definite?

Expressing (epigraph) inequality involving trace of matrix product as a matrix inequality

How do you minimize a positive semidefinite matrix with trace constraint?

Minimum eigenvalue of sums of positive semi-definite matrices

Is $Q( x)={x'\left(I_n-\frac{{11^\top}}{n}\right)x}$ a positive semidefinite quadratic form?

Is the function $\mbox{tr}(XAX')$ convex?

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