Question

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

score 69 · Answer 1 · 2026-04-12 18:04:51

69

Views

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

Published on 12 Apr 2026 - 18:04

score 162 · Answer 2 · 2026-04-12 05:29:16

162

Views

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

Published on 12 Apr 2026 - 5:29

score 76 · Answer 3 · 2026-04-11 06:56:00

76

Views

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

Published on 11 Apr 2026 - 6:56

score 82 · Answer 4 · 2026-05-10 18:29:11

82

Views

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

Published on 10 May 2026 - 18:29

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 718 · Answer 6 · 2026-05-10 18:25:13

718

Views

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

Published on 10 May 2026 - 18:25

score 63 · Answer 7 · 2026-05-10 17:17:58

63

Views

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

Published on 10 May 2026 - 17:17

score 4.6k · Answer 8 · 2026-04-13 17:07:05

4.6k

Views

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

Published on 13 Apr 2026 - 17:07

score 1.4k · Answer 9 · 2026-04-15 08:21:19

1.4k

Views

Positive definiteness of "sub-matrices"

Published on 15 Apr 2026 - 8:21

score 1.4k · Answer 10 · 2026-04-10 12:20:16

1.4k

Views

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

Published on 10 Apr 2026 - 12:20

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 · 2026-04-14 22:04:09

6.2k

Views

Diagonal elements of a symmetric matrix and positive definiteness

Published on 14 Apr 2026 - 22:04

score 28 · Answer 13 · 2026-04-13 04:38:32

28

Views

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

Published on 13 Apr 2026 - 4:38

score 1.3k · Answer 14 · 2026-04-12 12:37:21

1.3k

Views

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

Published on 12 Apr 2026 - 12:37

score 41 · Answer 15 · 2026-04-13 13:09:41

41

Views

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

Published on 13 Apr 2026 - 13:09

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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