List questions from positive-definite

Published on 17 Feb 2016 - 13:31

120

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If eigenvalues of a symmetric matrix are positive, is the matrix positive definite?

Published on 18 Feb 2016 - 19:12

598

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Write a Positive definite Matrix as $B^T B$

Published on 19 Feb 2016 - 22:42

2.5k

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power of positive matrix

Published on 21 Feb 2016 - 16:54

186

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matrix product of two positive definite matrices

Published on 21 Feb 2016 - 19:57

32

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Trying to find Upperbound!

Published on 28 Mar 2026 - 15:18

157

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If $\underline{f}^2 I_{n\times n}\leq F_kF_k^T$, can $F_k H_k^T H_k F_k^T \geq \underline{f}^2 H_k^T H_k$ hold?

Published on 03 Mar 2016 - 3:07

1.2k

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Skew-symmetric non-degenerate bilinear form and $J^2=-I$ operator

Published on 28 Mar 2026 - 6:40

171

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convex hull of union of positive definite matrices

Published on 08 Mar 2016 - 22:39

55

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Given a positive definite matrix $B$ , $B\geq \underline{b}I$, $AA^T$ is positive semi-definite. Can $ABA^T\geq b AA^T$?

Published on 09 Mar 2016 - 3:54

8.1k

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positive definite matrix plus positive semi matrix equals positive definite?

Published on 09 Mar 2016 - 14:29

124

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Show that $(x'Ay)x=(xx'A)y$

Published on 29 Mar 2026 - 17:24

1.9k

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Positive semidefinite matrix and pseudoinverse

Published on 27 Mar 2026 - 6:06

169

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Trace of Hermitian Positive Semidefinite Matrix

Published on 15 Mar 2016 - 15:58

190

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Positiveness of a specified quadratic form

Published on 18 Mar 2016 - 4:06

List Question

Proof that positive definite matrix can be factored as $A = VV^{\top}$

If eigenvalues of a symmetric matrix are positive, is the matrix positive definite?

Write a Positive definite Matrix as $B^T B$

power of positive matrix

matrix product of two positive definite matrices

Trying to find Upperbound!

If $\underline{f}^2 I_{n\times n}\leq F_kF_k^T$, can $F_k H_k^T H_k F_k^T \geq \underline{f}^2 H_k^T H_k$ hold?

Skew-symmetric non-degenerate bilinear form and $J^2=-I$ operator

convex hull of union of positive definite matrices

Given a positive definite matrix $B$ , $B\geq \underline{b}I$, $AA^T$ is positive semi-definite. Can $ABA^T\geq b AA^T$?

positive definite matrix plus positive semi matrix equals positive definite?

Show that $(x'Ay)x=(xx'A)y$

Positive semidefinite matrix and pseudoinverse

Trace of Hermitian Positive Semidefinite Matrix

Positiveness of a specified quadratic form

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