List questions from positive-definite

Published on 25 Mar 2026 - 9:26

36

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What can be said about the definiteness of $A^{T}_i+A_i$ when $\sum_{i=1}^{n}A^{T}_{i}+A_i<0$?

Published on 18 Sep 2018 - 14:55

438

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A conjecture on the Lyapunov equation

Published on 19 Sep 2018 - 16:17

61

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Positive semi-definite Matrix 3

Published on 25 Mar 2026 - 7:34

302

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Is there a closed formula for the positive-definite matrix square root?

Published on 23 Sep 2018 - 12:04

335

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Positive Definite Matrix (Block Matrix)

Published on 25 Mar 2026 - 6:09

1.9k

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What is the meaning of a nonnegative definite function?

Published on 27 Sep 2018 - 16:37

88

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Is $e^{-(L+L^T)}$ a positive definite matrix?

Published on 25 Mar 2026 - 6:08

86

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Is it possible that $L+L^T$ is a positive definite matrix?

Published on 25 Mar 2026 - 0:01

116

Views

Finding first nonzero element per row after Choleski decomposition

Published on 25 Mar 2026 - 1:21

51

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Is $\pmb{x}<\pmb{y}$ implies $A\pmb{x}<A\pmb{y}$ when $A$ is positive definite?

Published on 25 Mar 2026 - 6:04

76

Views

An inequality about positive matrices

Published on 16 Oct 2018 - 5:44

925

Views

What is the proof of the fact "a positive definite matrix has a unique positive definite square root"?

Published on 16 Oct 2018 - 12:23

49

Views

If $M$ is symmetric posdef, then all diagonal band matrices derived from $M$ are also posdef?

Published on 16 Oct 2018 - 19:38

3.1k

Views

Fast way of checking whether a matrix is positive definite without Cholesky decomposition

Published on 17 Oct 2018 - 2:17

List Question

Low rank approximation of non-symmetrix square matrix

What can be said about the definiteness of $A^{T}_i+A_i$ when $\sum_{i=1}^{n}A^{T}_{i}+A_i<0$?

A conjecture on the Lyapunov equation

Positive semi-definite Matrix 3

Is there a closed formula for the positive-definite matrix square root?

Positive Definite Matrix (Block Matrix)

What is the meaning of a nonnegative definite function?

Is $e^{-(L+L^T)}$ a positive definite matrix?

Is it possible that $L+L^T$ is a positive definite matrix?

Finding first nonzero element per row after Choleski decomposition

Is $\pmb{x}<\pmb{y}$ implies $A\pmb{x}<A\pmb{y}$ when $A$ is positive definite?

An inequality about positive matrices

What is the proof of the fact "a positive definite matrix has a unique positive definite square root"?

If $M$ is symmetric posdef, then all diagonal band matrices derived from $M$ are also posdef?

Fast way of checking whether a matrix is positive definite without Cholesky decomposition

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