Question

Are all entrywise nonnegative positive semidefinite matrices has a rank-1 decomposition with nonnegative vectors?

score 81 · Answer 1 · 2026-02-23 12:04:34

81

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Are all entrywise nonnegative positive semidefinite matrices has a rank-1 decomposition with nonnegative vectors?

Published on 23 Feb 2026 - 12:04

score 29 · Answer 2 · 2022-05-29 13:27:56

29

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A property of a symmetric 2 elements field matrix with zero diagonal

Published on 29 May 2022 - 13:27

score 34 · Answer 3 · 2022-05-30 03:36:43

34

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If $A,B \in \mathbb{R}^{n \times n}$ are p.s.d matrices with $A_{ii} \geq B_{ii}$ for all $i$, can we say that $A-B$ is p.s.d

Published on 30 May 2022 - 3:36

score 91 · Answer 4 · 2022-05-30 10:42:28

91

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Positive semi-definiteness of difference of two positive matrices: prove or disprove

Published on 30 May 2022 - 10:42

score 63 · Answer 5 · 2022-05-31 08:58:39

63

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Minimize cosines of vectors in $n$-dim space

Published on 31 May 2022 - 8:58

score 55 · Answer 6 · 2026-02-23 12:05:35

55

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$A\ge0$ equal to $\left( \begin{matrix} \mathrm{Re}A& \left( \mathrm{Im}A \right) ^T\\ \mathrm{Im}A& \mathrm{Re}A\\ \end{matrix} \right) \ge 0$?

Published on 23 Feb 2026 - 12:05

score 71 · Answer 7 · 2022-06-03 03:38:13

71

Views

Prove that $\frac{x^n+y^n}{2}$ Has a Local Minimum at $x=y=C^{\frac{1}{n}}$ with a Constraint $(\frac{x+y}{2})^n=C$

Published on 03 Jun 2022 - 3:38

score 47 · Answer 8 · 2022-06-07 14:09:06

47

Views

Inequality for PSD block matrices

Published on 07 Jun 2022 - 14:09

score 70 · Answer 9 · 2022-06-08 02:33:54

70

Views

Semi-definite positive matrix sum up to identity in diagonal is greater than a changed form?

Published on 08 Jun 2022 - 2:33

score 76 · Answer 10 · 2022-06-12 05:57:06

76

Views

Showing Hessian Determinant Positive Definite

Published on 12 Jun 2022 - 5:57

score 86 · Answer 11 · 2022-06-12 16:13:46

86

Views

Finding the positive projection in the frobenius norm

Published on 12 Jun 2022 - 16:13

score 75 · Answer 12 · 2022-06-19 15:47:43

75

Views

Does positive correlation of vectors depend on the inner product?

Published on 19 Jun 2022 - 15:47

score 64 · Answer 13 · 2026-03-25 19:10:14

64

Views

Conversion of SDP relaxation of Travelling Salesman Problem (TSP) to standard SDP form

Published on 25 Mar 2026 - 19:10

score 97 · Answer 14 · 2026-02-23 08:24:05

97

Views

In which cases Shannon entropy is a convex function of a distribution parameter?

Published on 23 Feb 2026 - 8:24

score 98 · Answer 15 · 2022-07-05 09:20:36

98

Views

If $\frac{\mbox{Tr}(AB)}{\mbox{Tr}(B)} = 1$ for every $B \succeq 0$, then $A=I$

Published on 05 Jul 2022 - 9:20

List Question

Are all entrywise nonnegative positive semidefinite matrices has a rank-1 decomposition with nonnegative vectors?

A property of a symmetric 2 elements field matrix with zero diagonal

If $A,B \in \mathbb{R}^{n \times n}$ are p.s.d matrices with $A_{ii} \geq B_{ii}$ for all $i$, can we say that $A-B$ is p.s.d

Positive semi-definiteness of difference of two positive matrices: prove or disprove

Minimize cosines of vectors in $n$-dim space

$A\ge0$ equal to $\left( \begin{matrix} \mathrm{Re}A& \left( \mathrm{Im}A \right) ^T\\ \mathrm{Im}A& \mathrm{Re}A\\ \end{matrix} \right) \ge 0$?

Prove that $\frac{x^n+y^n}{2}$ Has a Local Minimum at $x=y=C^{\frac{1}{n}}$ with a Constraint $(\frac{x+y}{2})^n=C$

Inequality for PSD block matrices

Semi-definite positive matrix sum up to identity in diagonal is greater than a changed form?

Showing Hessian Determinant Positive Definite

Finding the positive projection in the frobenius norm

Does positive correlation of vectors depend on the inner product?

Conversion of SDP relaxation of Travelling Salesman Problem (TSP) to standard SDP form

In which cases Shannon entropy is a convex function of a distribution parameter?

If $\frac{\mbox{Tr}(AB)}{\mbox{Tr}(B)} = 1$ for every $B \succeq 0$, then $A=I$

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