Question

On Minkowski Reduction of Quadratic Forms

score 131 · Answer 1 · 2020-04-01 17:24:57

131

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On Minkowski Reduction of Quadratic Forms

Published on 01 Apr 2020 - 17:24

score 238 · Answer 2 · 2020-04-05 12:47:16

238

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Prove that an invertible covariance matrix is positive definite

Published on 05 Apr 2020 - 12:47

score 18 · Answer 3 · 2026-03-21 20:25:02

18

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convexity of special structure function

Published on 21 Mar 2026 - 20:25

score 58 · Answer 4 · 2020-04-06 09:54:53

58

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Positive definiteness of $(\boldsymbol{A} + \boldsymbol{B})(\boldsymbol{A} + \boldsymbol{B})^\top$.

Published on 06 Apr 2020 - 9:54

score 296 · Answer 5 · 2020-04-06 15:29:23

296

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Is an ellipsoid defined as a quadric always symmetric?

Published on 06 Apr 2020 - 15:29

score 40 · Answer 6 · 2020-04-07 09:55:20

40

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why $||e_i||^2$ implies $\lambda_i\gt 0$ $\forall i$?

Published on 07 Apr 2020 - 9:55

score 36 · Answer 7 · 2020-04-08 15:22:55

36

Views

If $a_1 I_n \leq A \leq a_2 I_n$, where $A \in \mathbb{R}^{n\times n}$ and $a_1,a_2$ are positive scalars. Then what can I say about $A$?

Published on 08 Apr 2020 - 15:22

score 146 · Answer 8 · 2026-03-25 08:10:53

146

Views

comparing the magnitude of the maximum eigenvalue of two positive definite matrices that are only different on the main diagonal

Published on 25 Mar 2026 - 8:10

score 45 · Answer 9 · 2020-04-09 06:52:29

45

Views

Check if the determinant of a positive definite matrix equals the product of its diagonal elements, then the matrix is diagonal

Published on 09 Apr 2020 - 6:52

score 36 · Answer 10 · 2026-03-25 05:07:04

36

Views

denseness of tridiagonal positive semidefinitness in tridiagonal positive definiteness

Published on 25 Mar 2026 - 5:07

score 275 · Answer 11 · 2020-04-09 18:52:51

275

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How to prove that elements in the main diagonal of PD matrix are all positive?

Published on 09 Apr 2020 - 18:52

score 328 · Answer 12 · 2020-04-10 02:43:08

328

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Lower bound on smallest eigenvalue of element-wise positive part of PD matrix

Published on 10 Apr 2020 - 2:43

score 202 · Answer 13 · 2026-03-25 07:42:50

202

Views

positive definite how to prove that LU decomposition is possible

Published on 25 Mar 2026 - 7:42

score 485 · Answer 14 · 2026-03-26 17:30:29

485

Views

Positive definite implies positive semi-definite

Published on 26 Mar 2026 - 17:30

score 1.9k · Answer 15 · 2020-04-12 08:42:11

1.9k

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The number of positive eigenvalues of a non-singular symmetric matrix is equal to the number of positive pivots(Strang)

Published on 12 Apr 2020 - 8:42

List Question

On Minkowski Reduction of Quadratic Forms

Prove that an invertible covariance matrix is positive definite

convexity of special structure function

Positive definiteness of $(\boldsymbol{A} + \boldsymbol{B})(\boldsymbol{A} + \boldsymbol{B})^\top$.

Is an ellipsoid defined as a quadric always symmetric?

why $||e_i||^2$ implies $\lambda_i\gt 0$ $\forall i$?

If $a_1 I_n \leq A \leq a_2 I_n$, where $A \in \mathbb{R}^{n\times n}$ and $a_1,a_2$ are positive scalars. Then what can I say about $A$?

comparing the magnitude of the maximum eigenvalue of two positive definite matrices that are only different on the main diagonal

Check if the determinant of a positive definite matrix equals the product of its diagonal elements, then the matrix is diagonal

denseness of tridiagonal positive semidefinitness in tridiagonal positive definiteness

How to prove that elements in the main diagonal of PD matrix are all positive?

Lower bound on smallest eigenvalue of element-wise positive part of PD matrix

positive definite how to prove that LU decomposition is possible

Positive definite implies positive semi-definite

The number of positive eigenvalues of a non-singular symmetric matrix is equal to the number of positive pivots(Strang)

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