Question

Let $A$ be positive semi-definite. Show that $a_{i,i}a_{j,j} \geq |a_{i,j}|^2$, $1\leq i<j \leq n$

score 449 · Answer 1 · 2020-04-22 03:08:11

449

Views

Let $A$ be positive semi-definite. Show that $a_{i,i}a_{j,j} \geq |a_{i,j}|^2$, $1\leq i<j \leq n$

Published on 22 Apr 2020 - 3:08

score 78 · Answer 2 · 2020-04-22 18:53:56

78

Views

Show that this function is convex given that Q is positive semi-definite

Published on 22 Apr 2020 - 18:53

score 827 · Answer 3 · 2026-03-25 19:10:28

827

Views

If a matrix is positive-semidefinite, is Hermitian, and has a trace of 1, is it idempotent?

Published on 25 Mar 2026 - 19:10

score 110 · Answer 4 · 2020-04-27 19:12:41

110

Views

Eigenvectors of a sum of PSD matrices

Published on 27 Apr 2020 - 19:12

score 47 · Answer 5 · 2026-03-25 17:34:17

47

Views

Semi-positivity of an Hermitian matrix

Published on 25 Mar 2026 - 17:34

score 180 · Answer 6 · 2020-04-29 08:02:59

180

Views

Necessary and sufficient condition for the existence of a positive operator in a finite-dimensional inner product space

Published on 29 Apr 2020 - 8:02

score 30 · Answer 7 · 2020-04-29 12:34:23

30

Views

Is $\min\limits_{x,y}\{\sqrt{1+x^2}-\sqrt{1-y^2}\mid C\}$ is convex problem?

Published on 29 Apr 2020 - 12:34

score 18 · Answer 8 · 2026-03-21 17:06:53

18

Views

Given that a matrix is PSD, can we show whether this function is strictly convex?

Published on 21 Mar 2026 - 17:06

score 232 · Answer 9 · 2020-04-30 16:16:08

232

Views

Hessian matrix (2x2) has trace,det=0 but a negative eigenvalue--is this matrix PSD?

Published on 30 Apr 2020 - 16:16

score 44 · Answer 10 · 2020-04-30 17:12:00

44

Views

In general, are functions of this form convex?

Published on 30 Apr 2020 - 17:12

score 183 · Answer 11 · 2020-05-03 06:54:39

183

Views

Construct a diagonal-1 gram matrix with given eigenvalues

Published on 03 May 2020 - 6:54

score 349 · Answer 12 · 2020-05-05 19:18:39

349

Views

Squared exponential kernel with Manhatten distance does not result in positive semi-definite matrix

Published on 05 May 2020 - 19:18

score 55 · Answer 13 · 2020-05-10 19:44:12

55

Views

Show that this matrix series is positive semi-definite

Published on 10 May 2020 - 19:44

score 171 · Answer 14 · 2026-03-25 08:05:38

171

Views

Converting semidefinite program into standard form linear program

Published on 25 Mar 2026 - 8:05

score 107 · Answer 15 · 2020-05-14 10:55:42

107

Views

Is sum of all entries of negative semidefinite matrix is non positive?

Published on 14 May 2020 - 10:55

List Question

Let $A$ be positive semi-definite. Show that $a_{i,i}a_{j,j} \geq |a_{i,j}|^2$, $1\leq i<j \leq n$

Show that this function is convex given that Q is positive semi-definite

If a matrix is positive-semidefinite, is Hermitian, and has a trace of 1, is it idempotent?

Eigenvectors of a sum of PSD matrices

Semi-positivity of an Hermitian matrix

Necessary and sufficient condition for the existence of a positive operator in a finite-dimensional inner product space

Is $\min\limits_{x,y}\{\sqrt{1+x^2}-\sqrt{1-y^2}\mid C\}$ is convex problem?

Given that a matrix is PSD, can we show whether this function is strictly convex?

Hessian matrix (2x2) has trace,det=0 but a negative eigenvalue--is this matrix PSD?

In general, are functions of this form convex?

Construct a diagonal-1 gram matrix with given eigenvalues

Squared exponential kernel with Manhatten distance does not result in positive semi-definite matrix

Show that this matrix series is positive semi-definite

Converting semidefinite program into standard form linear program

Is sum of all entries of negative semidefinite matrix is non positive?

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