List questions from positive-semidefinite

Published on 26 Mar 2026 - 6:22

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How to decompose a square symmetric matrix into two diagonalizable matrices provided that one of them is the transpose of the other?

Published on 04 Dec 2015 - 15:39

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Hessian matrix for convexity of multidimensional function

Published on 04 Jan 2016 - 17:10

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Semidefinite solutions to Lyapunov equation

Published on 14 Mar 2026 - 18:10

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Is the self-adjoint condition required in the definition of a positive operator?

Published on 15 Feb 2016 - 16:18

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Is a sinc-distance matrix positive semidefinite?

Published on 25 Feb 2016 - 23:12

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Minimize $\mbox{trace}(AX)$ over $X$ with a positive semidefinite $X$

Published on 25 Feb 2026 - 11:48

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Why is this determinant positive?

Published on 25 Apr 2016 - 2:22

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Decomposition of a positive semidefinite matrix

Published on 02 Mar 2026 - 4:22

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How to prove that $A$ is positive semi-definite if all principal minors are non-negative?

Published on 19 Jun 2016 - 13:42

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Is a correlation matrix with positive determinant PSD?

Published on 21 Jun 2016 - 10:32

119

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Is $xx^t+yy^t-uu^t$ diagonal?

Published on 24 Jun 2016 - 16:05

121

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Conditions for positive semidefiniteness of certain hollow matrices

Published on 27 Jun 2016 - 4:19

35

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For what functions $f$ is $x^{\sf T}Lf(x) \geq 0$?

Published on 28 Jun 2016 - 22:19

81

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Prove that $\bigg\| \begin{bmatrix} X \\ A\end{bmatrix} \bigg\|_2 \leq \sigma \iff X^* X + A^* A \preceq \sigma^2 I$

Published on 03 Jul 2016 - 22:02

List Question

Relationship between rank and positive semidefiniteness

How to decompose a square symmetric matrix into two diagonalizable matrices provided that one of them is the transpose of the other?

Hessian matrix for convexity of multidimensional function

Semidefinite solutions to Lyapunov equation

Is the self-adjoint condition required in the definition of a positive operator?

Is a sinc-distance matrix positive semidefinite?

Minimize $\mbox{trace}(AX)$ over $X$ with a positive semidefinite $X$

Why is this determinant positive?

Decomposition of a positive semidefinite matrix

How to prove that $A$ is positive semi-definite if all principal minors are non-negative?

Is a correlation matrix with positive determinant PSD?

Is $xx^t+yy^t-uu^t$ diagonal?

Conditions for positive semidefiniteness of certain hollow matrices

For what functions $f$ is $x^{\sf T}Lf(x) \geq 0$?

Prove that $\bigg\| \begin{bmatrix} X \\ A\end{bmatrix} \bigg\|_2 \leq \sigma \iff X^* X + A^* A \preceq \sigma^2 I$

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