List questions from positive-semidefinite

Published on 31 Jan 2020 - 14:47

80

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Rank of $X-\operatorname{diag}{(X)}$ when $X$ is a rank $k$ Positive-semidefinite matrix?

Published on 01 Feb 2020 - 4:08

242

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Rank of a positive semidefinite block matrix

Published on 02 Feb 2020 - 0:37

161

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Finding an upperbound for outer product

Published on 05 Feb 2020 - 8:03

2.6k

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If $A, B$ are positive semi-definite, then $Tr(AB) = 0$ iff $AB = 0.$

Published on 06 Feb 2020 - 5:22

789

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$A \in \mathbb{R}^{n \times n}$ is a symmetric, PSD matrix. I want to write $\|A\|_F$ as a function of the eigenvalues of $A$

Published on 06 Feb 2020 - 7:03

280

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Multiplication of Projection/Hat matrix and diagonal matrix of positive entries

Published on 07 Feb 2020 - 4:50

202

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Lower bound of a constrained 3-variables expression

Published on 25 Mar 2026 - 12:46

137

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Product of Diagonal Elements of Positive Semidefinite Matrix

Published on 13 Feb 2020 - 6:09

27

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About PSD matrices

Published on 25 Mar 2026 - 12:59

183

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Schur Complement and Positive Semidefiniteness

Published on 25 Mar 2026 - 20:39

225

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$x \ge 0, z \ge 0, xz \ge y^2$ for symmetric $2 \times 2$ positive semidefinite matrix

Published on 14 Feb 2020 - 17:22

49

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Why $x^{T}B^TWBx=\|W^{1/2}Bx\|^2_2$ for diagonal matrix W?

Published on 25 Mar 2026 - 8:09

497

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Product of Orthogonal Projection Matrices with Positive Semidefinite Matrix

Published on 16 Feb 2020 - 23:11

92

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How can we show the following matrix is positive semidefinite or not

Published on 17 Feb 2020 - 5:58

List Question

For $A\in \mathbb R^{n\times n}$, when is $A+A^T$ positive semi-definite?

Rank of $X-\operatorname{diag}{(X)}$ when $X$ is a rank $k$ Positive-semidefinite matrix?

Rank of a positive semidefinite block matrix

Finding an upperbound for outer product

If $A, B$ are positive semi-definite, then $Tr(AB) = 0$ iff $AB = 0.$

$A \in \mathbb{R}^{n \times n}$ is a symmetric, PSD matrix. I want to write $\|A\|_F$ as a function of the eigenvalues of $A$

Multiplication of Projection/Hat matrix and diagonal matrix of positive entries

Lower bound of a constrained 3-variables expression

Product of Diagonal Elements of Positive Semidefinite Matrix

About PSD matrices

Schur Complement and Positive Semidefiniteness

$x \ge 0, z \ge 0, xz \ge y^2$ for symmetric $2 \times 2$ positive semidefinite matrix

Why $x^{T}B^TWBx=\|W^{1/2}Bx\|^2_2$ for diagonal matrix W?

Product of Orthogonal Projection Matrices with Positive Semidefinite Matrix

How can we show the following matrix is positive semidefinite or not

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