Question

Show that conditions of second derivative test for $g:\mathbb{R}^2 \to \mathbb{R}$ implies that its Hessian is positive definite

score 408 · Answer 1 · 2026-03-25 20:14:13

408

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Show that conditions of second derivative test for $g:\mathbb{R}^2 \to \mathbb{R}$ implies that its Hessian is positive definite

Published on 25 Mar 2026 - 20:14

score 37 · Answer 2 · 2026-03-26 07:59:00

37

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Matrix optimization with inverse of symmetric positive definite (SPD)

Published on 26 Mar 2026 - 7:59

score 128 · Answer 3 · 2026-03-26 16:56:56

128

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Does a real symmetric matrix is a positive definite real symmetric matrix by exponential map？

Published on 26 Mar 2026 - 16:56

score 2.2k · Answer 4 · 2026-03-26 22:53:34

2.2k

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Are the eigenvectors of a positive definite matrix orthonormal?

Published on 26 Mar 2026 - 22:53

score 1.9k · Answer 5 · 2019-12-29 08:34:47

1.9k

Views

Geometric mean of matrix

Published on 29 Dec 2019 - 8:34

score 86 · Answer 6 · 2026-03-26 09:36:57

86

Views

Why does this statement hold for positive semidefinite matrices?

Published on 26 Mar 2026 - 9:36

score 56 · Answer 7 · 2026-03-25 14:26:00

56

Views

Trace of a Summation of Positive Definite Matrices with a Real Coefficient

Published on 25 Mar 2026 - 14:26

score 185 · Answer 8 · 2026-03-25 14:26:48

185

Views

Trace of a Summation of Positive Definite Matrices

Published on 25 Mar 2026 - 14:26

score 209 · Answer 9 · 2020-01-03 22:03:39

209

Views

Prove positive definiteness of the exact augmented Lagrangian function

Published on 03 Jan 2020 - 22:03

score 34 · Answer 10 · 2020-01-04 16:37:32

34

Views

Does $q I-Y-Y^T\succ 0\implies (Y^T-Y)(q I-Y-Y^T)^{-1}(Y-Y^T)\succ 0$?

Published on 04 Jan 2020 - 16:37

score 136 · Answer 11 · 2020-01-04 21:23:01

136

Views

$Q^{t} A Q$ is equal to the identity matrix and $Q^{t} B Q$ is diagonal.

Published on 04 Jan 2020 - 21:23

score 55 · Answer 12 · 2020-01-06 16:38:44

55

Views

Definiteness of matrices formed by product of PD matrices and projections

Published on 06 Jan 2020 - 16:38

score 1.4k · Answer 13 · 2020-01-08 11:19:18

1.4k

Views

Negative definite matrix and its inverse

Published on 08 Jan 2020 - 11:19

score 2k · Answer 14 · 2020-01-10 13:51:51

2k

Views

If the diagonal entries are real and positive, is the matrix positive-definite?

Published on 10 Jan 2020 - 13:51

score 475 · Answer 15 · 2020-01-10 17:21:43

475

Views

Positive definiteness of a symmetric matrix

Published on 10 Jan 2020 - 17:21

List Question

Show that conditions of second derivative test for $g:\mathbb{R}^2 \to \mathbb{R}$ implies that its Hessian is positive definite

Matrix optimization with inverse of symmetric positive definite (SPD)

Does a real symmetric matrix is a positive definite real symmetric matrix by exponential map？

Are the eigenvectors of a positive definite matrix orthonormal?

Geometric mean of matrix

Why does this statement hold for positive semidefinite matrices?

Trace of a Summation of Positive Definite Matrices with a Real Coefficient

Trace of a Summation of Positive Definite Matrices

Prove positive definiteness of the exact augmented Lagrangian function

Does $q I-Y-Y^T\succ 0\implies (Y^T-Y)(q I-Y-Y^T)^{-1}(Y-Y^T)\succ 0$?

$Q^{t} A Q$ is equal to the identity matrix and $Q^{t} B Q$ is diagonal.

Definiteness of matrices formed by product of PD matrices and projections

Negative definite matrix and its inverse

If the diagonal entries are real and positive, is the matrix positive-definite?

Positive definiteness of a symmetric matrix

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