List questions from positive-semidefinite

Published on 19 Mar 2026 - 21:33

91

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Biased eigenvalue problem

Published on 20 Mar 2026 - 1:41

93

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Issue with proof by contradiction of necessary second-order condition for convexity

Published on 20 Mar 2026 - 10:54

1k

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Is the determinant of this symmetric matrix non-negative?

Published on 19 Mar 2026 - 21:18

104

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Is there a generalization of Araki-Lieb-Thirring inequality for four matrices?

Published on 20 Mar 2026 - 10:53

327

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How to check for local extrema or saddle point given an semidefinite matrix

Published on 20 Mar 2026 - 4:47

221

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equivalent definition of positive semidefinite matrix

Published on 19 Mar 2026 - 22:22

140

Views

If $S=A+B$, $B$ is PSD matrix, $[A,B]\neq 0$ and $S$ is PSD, then is $A$ PSD?

Published on 19 Mar 2026 - 20:00

102

Views

How to prove positive semi-definiteness or integral inequality

Published on 19 Mar 2026 - 21:16

51

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On the positve definiteness of a particular matrix and inverse

Published on 19 Mar 2026 - 20:34

362

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Positive definiteness of a multivariate polynomial function

Published on 20 Mar 2026 - 9:22

2.5k

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Show that $f(x) = x^TQx$ is convex using the inequality $f(y+\alpha(x-y))-\alpha f(x)-(1-a)f(y)\le 0$

Published on 20 Mar 2026 - 1:27

501

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$xx^T$ is an extreme vector of positive semi-definite ($PSD_n$) matrices.

Published on 20 Mar 2026 - 2:23

505

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trace and spectral radius inequality to symmetric positive definite matrix

Published on 20 Mar 2026 - 11:15

43

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Non-PSD matrix with two different PSD submatrixes

Published on 20 Mar 2026 - 15:57

List Question

Check whether a map is positive

Biased eigenvalue problem

Issue with proof by contradiction of necessary second-order condition for convexity

Is the determinant of this symmetric matrix non-negative?

Is there a generalization of Araki-Lieb-Thirring inequality for four matrices?

How to check for local extrema or saddle point given an semidefinite matrix

equivalent definition of positive semidefinite matrix

If $S=A+B$, $B$ is PSD matrix, $[A,B]\neq 0$ and $S$ is PSD, then is $A$ PSD?

How to prove positive semi-definiteness or integral inequality

On the positve definiteness of a particular matrix and inverse

Positive definiteness of a multivariate polynomial function

Show that $f(x) = x^TQx$ is convex using the inequality $f(y+\alpha(x-y))-\alpha f(x)-(1-a)f(y)\le 0$

$xx^T$ is an extreme vector of positive semi-definite ($PSD_n$) matrices.

trace and spectral radius inequality to symmetric positive definite matrix

Non-PSD matrix with two different PSD submatrixes

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