List questions from positive-semidefinite

Published on 10 May 2026 - 13:49

261

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In semidefinite programming what is the cone and what does interior for strong duality mean?

Published on 10 May 2026 - 12:32

316

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Why if add a multiple of $I$ to a symmetric matrix then we have positive semidefinite matrix

Published on 07 May 2026 - 8:00

104

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A confusion related to the rank of the matrix

Published on 27 Mar 2026 - 9:08

149

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Prove that $X \succeq xx^T \iff \begin{bmatrix} X & x \\ x^T & 1\end{bmatrix} \succeq 0$

Published on 10 May 2026 - 12:34

8.1k

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Matrix projection onto positive semidefinite cone with respect to the spectral norm

Published on 10 May 2026 - 14:49

360

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How to prove the following for inner product and positive semidefinite matrices?

Published on 12 Apr 2026 - 4:25

95

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How to prove the necessary conditions for checking the positive semidefiniteness of a $2$ by $2$ matrix?

Published on 24 Mar 2026 - 22:08

85

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Quadratic form of the $3\times 3$ symmetric matrix

Published on 25 Mar 2026 - 1:17

260

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product of diagonal matrix and positive definite hermitian matrix diagonnaly dominant

Published on 15 Apr 2026 - 3:09

497

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Trace of positive semidefinite matrix

Published on 27 Mar 2026 - 12:29

89

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Clarification about positive semidefiniteness

Published on 27 Mar 2026 - 12:40

1.9k

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Meaning of $x^T A x$

Published on 10 Apr 2026 - 12:39

29

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$Q \leq_{S^{n}} 0$ if and only if $Q \leq_{S^{n}} sI$ for some $s < 0$

Published on 24 Mar 2026 - 22:07

118

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Does the following integral inequality hold?

Published on 10 May 2026 - 13:24

List Question

Definition of convexity for multivariate functions

In semidefinite programming what is the cone and what does interior for strong duality mean?

Why if add a multiple of $I$ to a symmetric matrix then we have positive semidefinite matrix

A confusion related to the rank of the matrix

Prove that $X \succeq xx^T \iff \begin{bmatrix} X & x \\ x^T & 1\end{bmatrix} \succeq 0$

Matrix projection onto positive semidefinite cone with respect to the spectral norm

How to prove the following for inner product and positive semidefinite matrices?

How to prove the necessary conditions for checking the positive semidefiniteness of a $2$ by $2$ matrix?

Quadratic form of the $3\times 3$ symmetric matrix

product of diagonal matrix and positive definite hermitian matrix diagonnaly dominant

Trace of positive semidefinite matrix

Clarification about positive semidefiniteness

Meaning of $x^T A x$

$Q \leq_{S^{n}} 0$ if and only if $Q \leq_{S^{n}} sI$ for some $s < 0$

Does the following integral inequality hold?

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