Question

Is any non-singular positive semidefinite matrix positive definite?

score 1.3k · Answer 1 · 2016-08-25 14:38:24

1.3k

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Is any non-singular positive semidefinite matrix positive definite?

Published on 25 Aug 2016 - 14:38

score 507 · Answer 2 · 2016-08-26 10:21:05

507

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Relaxing the positive definiteness criterion for inner products

Published on 26 Aug 2016 - 10:21

score 497 · Answer 3 · 2016-08-27 10:38:18

497

Views

A positive definite matrix A can be express as a polynomial of $ A^2 $

Published on 27 Aug 2016 - 10:38

score 989 · Answer 4 · 2016-08-27 12:51:57

989

Views

A sufficient condition for a real symmetric matrix to be positive definite

Published on 27 Aug 2016 - 12:51

score 684 · Answer 5 · 2016-08-28 08:43:02

684

Views

Proving that symmetric matrix can be shifted to be positive definite

Published on 28 Aug 2016 - 8:43

score 308 · Answer 6 · 2016-08-29 07:14:10

308

Views

How to solve x in y for both are vectors?

Published on 29 Aug 2016 - 7:14

score 95 · Answer 7 · 2016-09-02 02:07:45

95

Views

Eigenvalues of conditionally positive definite Hermitian matrices

Published on 02 Sep 2016 - 2:07

score 92 · Answer 8 · 2016-09-02 09:59:55

92

Views

Given, $a,b,c,d,e$ are real numbers such that $2a^2<5b$. Show that $x^5+ax^4+bx^3+cx^2+dx+e$ cannot have all real roots.

Published on 02 Sep 2016 - 9:59

score 159 · Answer 9 · 2016-09-05 07:40:24

159

Views

Positive definite matrices: minor criteria vs quadratic form

Published on 05 Sep 2016 - 7:40

score 249 · Answer 10 · 2016-09-10 22:12:23

249

Views

Definition of a positive definite matrix

Published on 10 Sep 2016 - 22:12

score 289 · Answer 11 · 2026-03-25 20:36:42

289

Views

minimum eigenvalue of the Hadamard product of positive semi-definite matrices

Published on 25 Mar 2026 - 20:36

score 2.8k · Answer 12 · 2016-09-16 17:12:47

2.8k

Views

Show a gramian matrix is positive definite (possible contradiction)

Published on 16 Sep 2016 - 17:12

score 102 · Answer 13 · 2016-09-20 00:55:25

102

Views

is the matrix $A$ positive-definite?

Published on 20 Sep 2016 - 0:55

score 395 · Answer 14 · 2026-03-25 14:22:40

395

Views

Best way to solve these sparse symmetric positive definite almost-banded problems?

Published on 25 Mar 2026 - 14:22

score 1.6k · Answer 15 · 2026-03-27 02:35:28

1.6k

Views

Sufficient conditions for $3\times 3$ matrix to be positive definite/semidefinite

Published on 27 Mar 2026 - 2:35

List Question

Is any non-singular positive semidefinite matrix positive definite?

Relaxing the positive definiteness criterion for inner products

A positive definite matrix A can be express as a polynomial of $ A^2 $

A sufficient condition for a real symmetric matrix to be positive definite

Proving that symmetric matrix can be shifted to be positive definite

How to solve x in y for both are vectors?

Eigenvalues of conditionally positive definite Hermitian matrices

Given, $a,b,c,d,e$ are real numbers such that $2a^2<5b$. Show that $x^5+ax^4+bx^3+cx^2+dx+e$ cannot have all real roots.

Positive definite matrices: minor criteria vs quadratic form

Definition of a positive definite matrix

minimum eigenvalue of the Hadamard product of positive semi-definite matrices

Show a gramian matrix is positive definite (possible contradiction)

is the matrix $A$ positive-definite?

Best way to solve these sparse symmetric positive definite almost-banded problems?

Sufficient conditions for $3\times 3$ matrix to be positive definite/semidefinite

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