Question

When is the product of a matrix A, a diagonal matrix, and A transpose positive definite?

score 66 · Answer 1 · 2018-05-18 00:01:34

66

Views

When is the product of a matrix A, a diagonal matrix, and A transpose positive definite?

Published on 18 May 2018 - 0:01

score 159 · Answer 2 · 2018-05-19 19:25:15

159

Views

What's the smallest ellipsoid enclosing the half-sphere?

Published on 19 May 2018 - 19:25

score 73 · Answer 3 · 2018-05-21 23:05:43

73

Views

How does one derive the minimal enclosing ellipsoid for another half-ellipsoid?

Published on 21 May 2018 - 23:05

score 81 · Answer 4 · 2026-03-25 01:17:34

81

Views

Is $Tr( (A^{-1}B)^2 ) \leq Tr ( A^{-1}B )$ if $A \geq B \geq 0$

Published on 25 Mar 2026 - 1:17

score 1k · Answer 5 · 2026-03-24 23:44:14

1k

Views

Determining if a symmetric matrix is positive definite

Published on 24 Mar 2026 - 23:44

score 717 · Answer 6 · 2026-03-24 23:44:43

717

Views

Matrix Inverse is a Uniformly Continuous function for Uniformly Positive Definite matrices?

Published on 24 Mar 2026 - 23:44

score 57 · Answer 7 · 2026-03-25 01:27:57

57

Views

SVD of $H^TXH$ with SVD of $X$ known

Published on 25 Mar 2026 - 1:27

score 4.6k · Answer 8 · 2018-05-30 07:22:27

4.6k

Views

If $A$ is positive definite then so is$A^2$.

Published on 30 May 2018 - 7:22

score 1.4k · Answer 9 · 2018-05-30 13:23:21

1.4k

Views

Positive definiteness of "sub-matrices"

Published on 30 May 2018 - 13:23

score 1.4k · Answer 10 · 2018-05-30 17:09:59

1.4k

Views

Is it possible for a matrix to be positive definite and have complex eigenvalues?

Published on 30 May 2018 - 17:09

score 121 · Answer 11 · 2026-03-24 23:46:37

121

Views

Weighted sums of positive semidefinite matrices are uniformly positive definite

Published on 24 Mar 2026 - 23:46

score 6.2k · Answer 12 · 2018-06-02 13:14:50

6.2k

Views

Diagonal elements of a symmetric matrix and positive definiteness

Published on 02 Jun 2018 - 13:14

score 25 · Answer 13 · 2018-06-05 15:34:11

25

Views

Decomposition of a Matrix $A$ into $C\cdot\overline{C^{T}}$ form

Published on 05 Jun 2018 - 15:34

score 1.2k · Answer 14 · 2018-06-07 05:28:13

1.2k

Views

Is $A^TBA$ positive definite if and only if $A$ is nonsingular and $B$ is positive definite

Published on 07 Jun 2018 - 5:28

score 38 · Answer 15 · 2018-06-07 14:41:28

38

Views

If a matrix is positive-definite, is every term in its determinant (as sum over permutations) nonnegative?

Published on 07 Jun 2018 - 14:41

List Question

When is the product of a matrix A, a diagonal matrix, and A transpose positive definite?

What's the smallest ellipsoid enclosing the half-sphere?

How does one derive the minimal enclosing ellipsoid for another half-ellipsoid?

Is $Tr( (A^{-1}B)^2 ) \leq Tr ( A^{-1}B )$ if $A \geq B \geq 0$

Determining if a symmetric matrix is positive definite

Matrix Inverse is a Uniformly Continuous function for Uniformly Positive Definite matrices?

SVD of $H^TXH$ with SVD of $X$ known

If $A$ is positive definite then so is$A^2$.

Positive definiteness of "sub-matrices"

Is it possible for a matrix to be positive definite and have complex eigenvalues?

Weighted sums of positive semidefinite matrices are uniformly positive definite

Diagonal elements of a symmetric matrix and positive definiteness

Decomposition of a Matrix $A$ into $C\cdot\overline{C^{T}}$ form

Is $A^TBA$ positive definite if and only if $A$ is nonsingular and $B$ is positive definite

If a matrix is positive-definite, is every term in its determinant (as sum over permutations) nonnegative?

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