Question

positive semidefinite matrix.

score 109 · Answer 1 · 2017-03-20 15:58:29

109

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positive semidefinite matrix.

Published on 20 Mar 2017 - 15:58

score 213 · Answer 2 · 2026-03-26 17:33:02

213

Views

An inequality for sum of positive semidefinite matrices

Published on 26 Mar 2026 - 17:33

score 167 · Answer 3 · 2017-03-31 01:06:25

167

Views

If symmetric matrix $A\geq0$, $P>0$, does $APA\leq \lambda_{max}^2(A) P$ always hold?

Published on 31 Mar 2017 - 1:06

score 28 · Answer 4 · 2023-01-30 16:40:32

28

Views

How to replace a PSD matrix with a smaller PSD matrix?

Published on 30 Jan 2023 - 16:40

score 114 · Answer 5 · 2023-02-01 16:38:53

114

Views

If the product of $n$ positive definite matrices is symmetric, is it also positive definite?

Published on 01 Feb 2023 - 16:38

score 58 · Answer 6 · 2023-02-04 16:37:42

58

Views

Is the set of diagonal matrices $D^{-1/2}$ such that $I +D^{-1/2}AD^{-1/2}$ is positive semi-definite convex?

Published on 04 Feb 2023 - 16:37

score 43 · Answer 7 · 2023-02-05 16:20:20

43

Views

For positive semidefinite unit trace $\Gamma$, what is $\{ x \in \mathbb R^N: x^T A x = \text{tr}(A \Gamma) \ \forall A \in\mathbb R^{N \times N} \}$?

Published on 05 Feb 2023 - 16:20

score 133 · Answer 8 · 2023-02-08 14:57:34

133

Views

Sylvester-like criterion for semidefiniteness

Published on 08 Feb 2023 - 14:57

score 59 · Answer 9 · 2023-02-10 23:02:34

59

Views

Trace of PSD matrices

Published on 10 Feb 2023 - 23:02

score 70 · Answer 10 · 2023-02-11 11:49:48

70

Views

Is there a nonzero commutative and associative product preserving the symmetric positive semidefinite matrices?

Published on 11 Feb 2023 - 11:49

score 92 · Answer 11 · 2023-02-15 13:09:44

92

Views

Proof of inequality in positive semidefinite matrix

Published on 15 Feb 2023 - 13:09

score 167 · Answer 12 · 2026-03-25 15:51:49

167

Views

Definition of a finite vector-valued Radon measure: isn't this condition vacuous?

Published on 25 Mar 2026 - 15:51

score 169 · Answer 13 · 2026-03-25 22:03:48

169

Views

A probabilistic proof of Oppenheim's inequality?

Published on 25 Mar 2026 - 22:03

score 62 · Answer 14 · 2026-03-25 12:50:19

62

Views

Can $\mbox{tr}(AX) \leq \frac{\mbox{tr}(\Omega BXB)}{\mbox{tr}(BXB)}$ be reduced to known programs?

Published on 25 Mar 2026 - 12:50

score 124 · Answer 15 · 2023-02-24 01:23:10

124

Views

Smallest constant $C$ to bound $\mathbb{E}[\mathrm{tr}((\overline{X}_n + I)^{-1})] \leq C~\mathrm{tr}((\mathbb{E}[X] + I)^{-1})$?

Published on 24 Feb 2023 - 1:23

List Question

positive semidefinite matrix.

An inequality for sum of positive semidefinite matrices

If symmetric matrix $A\geq0$, $P>0$, does $APA\leq \lambda_{max}^2(A) P$ always hold?

How to replace a PSD matrix with a smaller PSD matrix?

If the product of $n$ positive definite matrices is symmetric, is it also positive definite?

Is the set of diagonal matrices $D^{-1/2}$ such that $I +D^{-1/2}AD^{-1/2}$ is positive semi-definite convex?

For positive semidefinite unit trace $\Gamma$, what is $\{ x \in \mathbb R^N: x^T A x = \text{tr}(A \Gamma) \ \forall A \in\mathbb R^{N \times N} \}$?

Sylvester-like criterion for semidefiniteness

Trace of PSD matrices

Is there a nonzero commutative and associative product preserving the symmetric positive semidefinite matrices?

Proof of inequality in positive semidefinite matrix

Definition of a finite vector-valued Radon measure: isn't this condition vacuous?

A probabilistic proof of Oppenheim's inequality?

Can $\mbox{tr}(AX) \leq \frac{\mbox{tr}(\Omega BXB)}{\mbox{tr}(BXB)}$ be reduced to known programs?

Smallest constant $C$ to bound $\mathbb{E}[\mathrm{tr}((\overline{X}_n + I)^{-1})] \leq C~\mathrm{tr}((\mathbb{E}[X] + I)^{-1})$?

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