Question

Known conditions to make $A \otimes B$ be pos.def., even if $A$ is not pos.def.?

score 28 · Answer 1 · 2018-11-17 16:54:33

28

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Known conditions to make $A \otimes B$ be pos.def., even if $A$ is not pos.def.?

Published on 17 Nov 2018 - 16:54

score 99 · Answer 2 · 2018-11-20 11:10:00

99

Views

Symmetric and definite positive matrix - complex vs real coefficients

Published on 20 Nov 2018 - 11:10

score 153 · Answer 3 · 2018-11-21 01:02:42

153

Views

Can a positive-definite diagonal matrix have square roots that are positive-definite but not diagonal?

Published on 21 Nov 2018 - 1:02

score 128 · Answer 4 · 2018-11-21 15:25:17

128

Views

For what kind of matrix $A$, there is a (symmetric) positive definite matrix $B$ such that $BA$ is symmetric

Published on 21 Nov 2018 - 15:25

score 107 · Answer 5 · 2018-11-23 02:43:18

107

Views

Prove this matrix inequality

Published on 23 Nov 2018 - 2:43

score 39 · Answer 6 · 2026-03-25 10:59:53

39

Views

A problem on positive definite matrix

Published on 25 Mar 2026 - 10:59

score 254 · Answer 7 · 2018-11-23 16:35:46

254

Views

How to find rectangular matrix $A$ such that $A*B $is positive definite for a given rectangular matrix $B$?

Published on 23 Nov 2018 - 16:35

score 481 · Answer 8 · 2026-03-25 04:43:39

481

Views

If real Matrix A is symmetric and positive definite then $X^TAY $ represent dot product with respect to basis of $\mathbb R^n$

Published on 25 Mar 2026 - 4:43

score 346 · Answer 9 · 2018-11-26 07:20:37

346

Views

Alternative definition of positive definite matrix

Published on 26 Nov 2018 - 7:20

score 701 · Answer 10 · 2026-03-25 07:45:38

If a matrix $Q$ is symmetric and positie definite, is it possible to show that the matrix $Q-A^T(AQ^{-1}A^T)^{-1}A$ is also positive definite?

score 189 · Answer 11 · 2026-03-25 09:23:26

189

Views

Ellipsoid representation by PSD matrix and by linear mapping

Published on 25 Mar 2026 - 9:23

score 86 · Answer 12 · 2018-12-01 00:39:39

86

Views

Does $0\prec B \prec A$ imply $A^{-1}B \prec I$

Published on 01 Dec 2018 - 0:39

score 63 · Answer 13 · 2018-12-03 11:44:34

63

Views

Positive Definiteness problem

Published on 03 Dec 2018 - 11:44

score 245 · Answer 14 · 2026-03-25 09:27:19

245

Views

Is the matrix $a_{ij} = \frac{1}{i+j-1}$ Positive Definite?

Published on 25 Mar 2026 - 9:27

score 69 · Answer 15 · 2018-12-04 20:40:38

69

Views

Inside and outside of an ellipsoid

Published on 04 Dec 2018 - 20:40

List Question

Known conditions to make $A \otimes B$ be pos.def., even if $A$ is not pos.def.?

Symmetric and definite positive matrix - complex vs real coefficients

Can a positive-definite diagonal matrix have square roots that are positive-definite but not diagonal?

For what kind of matrix $A$, there is a (symmetric) positive definite matrix $B$ such that $BA$ is symmetric

Prove this matrix inequality

A problem on positive definite matrix

How to find rectangular matrix $A$ such that $A*B $is positive definite for a given rectangular matrix $B$?

If real Matrix A is symmetric and positive definite then $X^TAY $ represent dot product with respect to basis of $\mathbb R^n$

Alternative definition of positive definite matrix

If a matrix $Q$ is symmetric and positie definite, is it possible to show that the matrix $Q-A^T(AQ^{-1}A^T)^{-1}A$ is also positive definite?

Ellipsoid representation by PSD matrix and by linear mapping

Does $0\prec B \prec A$ imply $A^{-1}B \prec I$

Positive Definiteness problem

Is the matrix $a_{ij} = \frac{1}{i+j-1}$ Positive Definite?

Inside and outside of an ellipsoid

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