List questions from positive-semidefinite

Published on 29 Nov 2017 - 17:44

213

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How to prove $A \succeq B \Leftrightarrow AB=B$ for orthogonal projectors $A, B$?

Published on 28 Mar 2026 - 2:04

223

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If $M\geq 0$, why $M$ is invertible if and only if $\left< Mv, v \right> = 0$ implies that $v = 0$?

Published on 03 Dec 2017 - 10:36

82

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Checking if this matrix is Positive Semdefinite?

Published on 05 Dec 2017 - 0:25

115

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Is sum of inverse of max a kernel?

Published on 26 Mar 2026 - 21:26

600

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Is a negated positive (semi-)definite matrix always negative (semi-)definite and vice versa?

Published on 09 Dec 2017 - 18:33

155

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What are the conditions on $G$ such that $D^T G D$ is positive semidefinite?

Published on 11 Dec 2017 - 21:01

101

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Character of $2x_1^2 + 5x_2^2 + 5x_3^2 + 4x_1x_2 - 4x_1x_3 - 8x_2x_3 $

Published on 12 Dec 2017 - 11:11

513

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Prove that B is positive semidefinite if AB+BA is positive semidefinite and A is positive definite

Published on 12 Dec 2017 - 21:14

210

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Counter example for the following

Published on 13 Dec 2017 - 0:19

1.3k

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When can we say that $E[X^2] - E[X]^2 \geq 0$ for a real-valued random variable $X$?

Published on 25 Dec 2017 - 23:32

488

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Are hollow positive symmetric matrices negative definite on subspace $\sum_i x_i=0$?

Published on 01 Jan 2018 - 21:09

1.9k

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Are positive definite matrices robust to "small changes"?

Published on 02 Jan 2018 - 0:59

254

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When is the symmetric product of a matrix and a diagonal matrix negative definite on $\sum_i x_i=0$?

Published on 02 Jan 2018 - 2:32

256

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Probability that a random binary matrix is positive semi-definite

Published on 29 Mar 2026 - 2:11

List Question

problem of positive semi-definite matrix

How to prove $A \succeq B \Leftrightarrow AB=B$ for orthogonal projectors $A, B$?

If $M\geq 0$, why $M$ is invertible if and only if $\left< Mv, v \right> = 0$ implies that $v = 0$?

Checking if this matrix is Positive Semdefinite?

Is sum of inverse of max a kernel?

Is a negated positive (semi-)definite matrix always negative (semi-)definite and vice versa?

What are the conditions on $G$ such that $D^T G D$ is positive semidefinite?

Character of $2x_1^2 + 5x_2^2 + 5x_3^2 + 4x_1x_2 - 4x_1x_3 - 8x_2x_3 $

Prove that B is positive semidefinite if AB+BA is positive semidefinite and A is positive definite

Counter example for the following

When can we say that $E[X^2] - E[X]^2 \geq 0$ for a real-valued random variable $X$?

Are hollow positive symmetric matrices negative definite on subspace $\sum_i x_i=0$?

Are positive definite matrices robust to "small changes"?

When is the symmetric product of a matrix and a diagonal matrix negative definite on $\sum_i x_i=0$?

Probability that a random binary matrix is positive semi-definite

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