Question

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

score 31 · Answer 1 · 2026-04-13 10:48:37

31

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

Published on 13 Apr 2026 - 10:48

score 102 · Answer 2 · 2026-04-14 03:41:55

102

Views

Symmetric and definite positive matrix - complex vs real coefficients

Published on 14 Apr 2026 - 3:41

score 156 · Answer 3 · 2026-04-11 15:46:43

156

Views

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

Published on 11 Apr 2026 - 15:46

score 131 · Answer 4 · 2026-04-13 00:39:12

131

Views

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

Published on 13 Apr 2026 - 0:39

score 110 · Answer 5 · 2026-04-14 18:19:17

110

Views

Prove this matrix inequality

Published on 14 Apr 2026 - 18:19

score 41 · Answer 6 · 2026-04-10 13:23:09

41

Views

A problem on positive definite matrix

Published on 10 Apr 2026 - 13:23

score 257 · Answer 7 · 2026-04-12 14:59:45

257

Views

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

Published on 12 Apr 2026 - 14:59

score 484 · Answer 8 · 2026-05-11 02:50:26

484

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 11 May 2026 - 2:50

score 349 · Answer 9 · 2026-04-10 16:19:37

349

Views

Alternative definition of positive definite matrix

Published on 10 Apr 2026 - 16:19

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 89 · Answer 12 · 2026-04-11 17:27:34

89

Views

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

Published on 11 Apr 2026 - 17:27

score 66 · Answer 13 · 2026-04-12 10:23:01

66

Views

Positive Definiteness problem

Published on 12 Apr 2026 - 10:23

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 72 · Answer 15 · 2026-04-13 06:22:56

72

Views

Inside and outside of an ellipsoid

Published on 13 Apr 2026 - 6:22

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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