Question

How to prove a trace matrix is positive (semi) definite?

score 348 · Answer 1 · 2023-04-22 16:00:49

348

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How to prove a trace matrix is positive (semi) definite?

Published on 22 Apr 2023 - 16:00

score 38 · Answer 2 · 2023-04-23 16:24:41

38

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Positive-definite matrix questions

Published on 23 Apr 2023 - 16:24

score 55 · Answer 3 · 2026-03-26 02:56:02

55

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Positive definite Hermitian matrices and non-leading principal minors

Published on 26 Mar 2026 - 2:56

score 63 · Answer 4 · 2026-03-25 04:40:20

63

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Positive / negative (and so on) definite matrix. Confusion about the terms

Published on 25 Mar 2026 - 4:40

score 112 · Answer 5 · 2026-03-27 15:18:21

112

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Conditions for $AB+BA$ posdef, given $A,B$ are symmetric and posdef?

Published on 27 Mar 2026 - 15:18

score 22 · Answer 6 · 2023-05-03 08:43:54

22

Views

Help proving (or disproving) an eigenvalue inequality

Published on 03 May 2023 - 8:43

score 51 · Answer 7 · 2023-05-03 15:36:19

51

Views

Prove that $MA \neq A^T M$, where M is positive definite, and A doesn’t have distinct roots

Published on 03 May 2023 - 15:36

score 41 · Answer 8 · 2026-03-27 16:47:03

41

Views

Can someone please help me determine whether this matrix is positive semi-definite?

Published on 27 Mar 2026 - 16:47

score 167 · Answer 9 · 2023-05-11 01:41:16

167

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How to prove the maximum eigenvalue of $A^2$ is greater than or equal to $2$ and greater than $4$ if $A$ is positive definite?

Published on 11 May 2023 - 1:41

score 58 · Answer 10 · 2026-03-26 06:30:17

58

Views

A characterization of symmetric positive definite matrices using Schur complements

Published on 26 Mar 2026 - 6:30

score 27 · Answer 11 · 2023-05-16 21:20:14

27

Views

Positivity of the Fourier transform: prove or disprove that $\operatorname{Re}(\overline{\widehat{u}}(\xi) \widehat{F\circ u}(\xi))\geq0$

Published on 16 May 2023 - 21:20

score 105 · Answer 12 · 2026-03-26 03:13:32

105

Views

Can any symmetric matrix with zero diagonals be written as the commutator of a skew-symmetric and diagonal matrix with positive diagonals?

Published on 26 Mar 2026 - 3:13

score 52 · Answer 13 · 2023-05-21 13:42:31

52

Views

Estimation of determinant for $ |g_{ij} -\delta_{ij}|\le \epsilon$

Published on 21 May 2023 - 13:42

score 50 · Answer 14 · 2026-03-27 23:31:04

50

Views

Preserving positive semi-definiteness

Published on 27 Mar 2026 - 23:31

score 45 · Answer 15 · 2023-05-23 22:07:21

45

Views

What is the definiteness of this matrix?

Published on 23 May 2023 - 22:07

List Question

How to prove a trace matrix is positive (semi) definite?

Positive-definite matrix questions

Positive definite Hermitian matrices and non-leading principal minors

Positive / negative (and so on) definite matrix. Confusion about the terms

Conditions for $AB+BA$ posdef, given $A,B$ are symmetric and posdef?

Help proving (or disproving) an eigenvalue inequality

Prove that $MA \neq A^T M$, where M is positive definite, and A doesn’t have distinct roots

Can someone please help me determine whether this matrix is positive semi-definite?

How to prove the maximum eigenvalue of $A^2$ is greater than or equal to $2$ and greater than $4$ if $A$ is positive definite?

A characterization of symmetric positive definite matrices using Schur complements

Positivity of the Fourier transform: prove or disprove that $\operatorname{Re}(\overline{\widehat{u}}(\xi) \widehat{F\circ u}(\xi))\geq0$

Can any symmetric matrix with zero diagonals be written as the commutator of a skew-symmetric and diagonal matrix with positive diagonals?

Estimation of determinant for $ |g_{ij} -\delta_{ij}|\le \epsilon$

Preserving positive semi-definiteness

What is the definiteness of this matrix?

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