List questions from positive-semidefinite

Published on 26 Feb 2023 - 6:45

143

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An interesting property of positive definite and essentially non-negative matrix

Published on 27 Feb 2023 - 3:03

43

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Suppose A is a nonsymmetric PD matrix. K is a diagonal matrix, with all entries nonnegative, Can I find a bound of K such that $A^TA+KA+AK$ is PD?

Published on 09 Mar 2023 - 18:51

45

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If $\Phi$ is completely positive, then $\Phi\otimes\mathcal{I}$ is positve, is $\mathcal{I}\otimes\Phi$ also positive?

Published on 26 Mar 2026 - 1:10

74

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What should the off diagonal block be like to ensure positive semi-definiteness?

Published on 26 Mar 2026 - 20:40

125

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Singular matrix, non-vanishing principal minors

Published on 19 Mar 2023 - 1:27

246

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Show that if $\mu,\eta\in I\implies \dfrac{\mu+\eta}{2}\in I$ and $\{0,1,1/2\}\subset I$ implies $[0,1]\subset I$

Published on 26 Mar 2026 - 1:11

32

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If the symmetric part of a matrix is PSD then the matrix is PSD

Published on 28 Mar 2023 - 21:01

24

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Non-symmetric positive semi-definiteness in literature

Published on 30 Mar 2023 - 1:12

135

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Trace of off-diagonal blocks of a positive semidefinite matrix

Published on 26 Mar 2026 - 22:15

119

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Show that all eigenvalues of the matrix $AB$ are real

Published on 30 Mar 2023 - 5:07

93

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Random sparse positive semi-definite matrix

Published on 25 Mar 2026 - 23:35

75

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Powers of positive semidefinite functions

Published on 08 Apr 2023 - 18:57

17

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Characterize the max and min eigenvalues of a positive definite matrix under congruence transform with semi-definite matrix

Published on 11 Apr 2023 - 17:25

23

Views

Proof for semidefinitiveness of symmetric matrix

Published on 20 Apr 2023 - 13:09

List Question

Exponent of a positive semidefinite matrix

An interesting property of positive definite and essentially non-negative matrix

Suppose A is a nonsymmetric PD matrix. K is a diagonal matrix, with all entries nonnegative, Can I find a bound of K such that $A^TA+KA+AK$ is PD?

If $\Phi$ is completely positive, then $\Phi\otimes\mathcal{I}$ is positve, is $\mathcal{I}\otimes\Phi$ also positive?

What should the off diagonal block be like to ensure positive semi-definiteness?

Singular matrix, non-vanishing principal minors

Show that if $\mu,\eta\in I\implies \dfrac{\mu+\eta}{2}\in I$ and $\{0,1,1/2\}\subset I$ implies $[0,1]\subset I$

If the symmetric part of a matrix is PSD then the matrix is PSD

Non-symmetric positive semi-definiteness in literature

Trace of off-diagonal blocks of a positive semidefinite matrix

Show that all eigenvalues of the matrix $AB$ are real

Random sparse positive semi-definite matrix

Powers of positive semidefinite functions

Characterize the max and min eigenvalues of a positive definite matrix under congruence transform with semi-definite matrix

Proof for semidefinitiveness of symmetric matrix

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