List questions from positive-semidefinite

Published on 21 Feb 2021 - 3:24

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Importance of $\det(A^TA)$ in practical discussions

Published on 21 Feb 2021 - 14:42

44

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Solve $A^T\Sigma A=I$ for $A$ with $\Sigma$ being psd

Published on 26 Mar 2026 - 20:39

44

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$D_1 \Sigma D_1 \succeq D_2 \Sigma D_2$ with $\Sigma$ being positive semi-definite and $D_1 \succeq D_2$ diagonal matrices

Published on 22 Feb 2021 - 21:58

317

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Analytical solution for a neat semidefinite program (SDP)

Published on 26 Mar 2026 - 12:51

151

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Why is this a smooth manifold?

Published on 04 Mar 2021 - 16:15

71

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Monotonicity property for a simple semidefinite program (SDP)

Published on 26 Mar 2026 - 9:45

546

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Condition for positive semi-definite or positive definite matrix, $A Q^{-1}A^T$

Published on 12 Mar 2021 - 11:43

81

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Making a matrix positive semidefinite

Published on 13 Mar 2021 - 10:43

68

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Sum of a singular PSD matrix and a full rank indefinite matrix

Published on 14 Mar 2021 - 13:01

112

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trace inequality of positive definite matrices and diagonal matrices

Published on 14 Mar 2021 - 21:10

1.1k

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Make a matrix symmetric and positive semi-definite if it already approximately is

Published on 15 Mar 2021 - 15:41

43

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Question on positive semidefiniteness

Published on 17 Mar 2021 - 16:43

39

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If $A$ and $B$ are Positive semidefinite matrices, then $\operatorname{Col}(A B) \cap N u l l(A B)=$ $\{0\}$ .

Published on 18 Mar 2021 - 14:27

34

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When is $ u v^* \succeq 0$, for two complex vectors $u$ and $v$?

Published on 18 Mar 2021 - 22:10

List Question

Inequality on determinant of product of positive semi definite matrices

Importance of $\det(A^TA)$ in practical discussions

Solve $A^T\Sigma A=I$ for $A$ with $\Sigma$ being psd

$D_1 \Sigma D_1 \succeq D_2 \Sigma D_2$ with $\Sigma$ being positive semi-definite and $D_1 \succeq D_2$ diagonal matrices

Analytical solution for a neat semidefinite program (SDP)

Why is this a smooth manifold?

Monotonicity property for a simple semidefinite program (SDP)

Condition for positive semi-definite or positive definite matrix, $A Q^{-1}A^T$

Making a matrix positive semidefinite

Sum of a singular PSD matrix and a full rank indefinite matrix

trace inequality of positive definite matrices and diagonal matrices

Make a matrix symmetric and positive semi-definite if it already approximately is

Question on positive semidefiniteness

If $A$ and $B$ are Positive semidefinite matrices, then $\operatorname{Col}(A B) \cap N u l l(A B)=$ $\{0\}$ .

When is $ u v^* \succeq 0$, for two complex vectors $u$ and $v$?

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