Question

Projection of a Symmetric Matrix onto the space of Positive Semi-Definite Matrices

score 449 · Answer 1 · 2026-03-22 10:17:32

449

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Projection of a Symmetric Matrix onto the space of Positive Semi-Definite Matrices

Published on 22 Mar 2026 - 10:17

score 50 · Answer 2 · 2026-03-21 18:59:16

50

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Why is the operator $G = \sum_c F_c$ non-singular when $\{F_c\}$ is a basis of positive operators?

Published on 21 Mar 2026 - 18:59

score 91 · Answer 3 · 2026-03-22 07:19:50

91

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Show that if $\sum_{j=1}^m E_j=I$ and $E_j \geq 0$ then the dual basis cannot be positive semi-definite.

Published on 22 Mar 2026 - 7:19

score 197 · Answer 4 · 2026-03-22 12:31:15

197

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What can I say about matrix A, if both A and I-A are positive semidefinite?

Published on 22 Mar 2026 - 12:31

score 95 · Answer 5 · 2026-03-22 10:07:02

95

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If a matrix $G$ is positive semidefinite on hyperplane, then it is positive semidefinite on whole space

Published on 22 Mar 2026 - 10:07

score 90 · Answer 6 · 2026-03-22 20:16:34

90

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Use Schur complement to show that $ 1^TD1 \ge 0$

Published on 22 Mar 2026 - 20:16

score 1.6k · Answer 7 · 2026-03-21 21:29:58

1.6k

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Positive semidefiniteness of submatrix of positive semidefinite matrix

Published on 21 Mar 2026 - 21:29

score 39 · Answer 8 · 2026-03-22 09:03:37

39

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Efficiently factorize the sum of squared rectangular matrices

Published on 22 Mar 2026 - 9:03

score 561 · Answer 9 · 2026-03-22 06:02:42

561

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Conditions on off-diagonal elements of a 2x2 density matrix

Published on 22 Mar 2026 - 6:02

score 322 · Answer 10 · 2026-03-22 01:41:57

322

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The number of negative eigenvalues of the difference between two positive semidefinite matrices

Published on 22 Mar 2026 - 1:41

score 101 · Answer 11 · 2026-03-22 11:27:08

101

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How to prove that the determinant of a matrix must be very small (close to 0)?

Published on 22 Mar 2026 - 11:27

score 897 · Answer 12 · 2018-04-03 17:00:06

897

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The product of a matrix with it's transpose is always semi-definite positive

Published on 03 Apr 2018 - 17:00

score 46 · Answer 13 · 2026-03-22 03:37:56

46

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positive definite matrix as a matrix blocks

Published on 22 Mar 2026 - 3:37

score 458 · Answer 14 · 2026-03-21 16:41:58

458

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Conditions on coefficients of positive semidefinite matrix with certain symmetries

Published on 21 Mar 2026 - 16:41

score 705 · Answer 15 · 2026-03-21 19:20:12

705

Views

How to solve a positive semidefinite system in general

Published on 21 Mar 2026 - 19:20

List Question

Projection of a Symmetric Matrix onto the space of Positive Semi-Definite Matrices

Why is the operator $G = \sum_c F_c$ non-singular when $\{F_c\}$ is a basis of positive operators?

Show that if $\sum_{j=1}^m E_j=I$ and $E_j \geq 0$ then the dual basis cannot be positive semi-definite.

What can I say about matrix A, if both A and I-A are positive semidefinite?

If a matrix $G$ is positive semidefinite on hyperplane, then it is positive semidefinite on whole space

Use Schur complement to show that $ 1^TD1 \ge 0$

Positive semidefiniteness of submatrix of positive semidefinite matrix

Efficiently factorize the sum of squared rectangular matrices

Conditions on off-diagonal elements of a 2x2 density matrix

The number of negative eigenvalues of the difference between two positive semidefinite matrices

How to prove that the determinant of a matrix must be very small (close to 0)?

The product of a matrix with it's transpose is always semi-definite positive

positive definite matrix as a matrix blocks

Conditions on coefficients of positive semidefinite matrix with certain symmetries

How to solve a positive semidefinite system in general

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