List questions from positive-semidefinite

Published on 15 Jun 2023 - 20:28

62

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Positive semidefiniteness in Boolean least-squares problem

Published on 25 Mar 2026 - 9:46

84

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If $\langle x,y\rangle>0$, does there exist a positive-definite transformation $A$ such that $Ax=y$?

Published on 18 Jun 2023 - 20:52

41

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Hessian positive semidefinite for a matrix variable function?

Published on 25 Mar 2026 - 14:19

57

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Is the (kind of direct) sum of positive definite matrices (with common subdomain) positive definite?

Published on 20 Jun 2023 - 20:31

40

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Change in kernel after rank-1 update

Published on 25 Jun 2023 - 19:30

112

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Norm of sum of positive matrices versus the sum of norms

Published on 26 Mar 2026 - 17:14

118

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Positive semidefinite block matrix

Published on 26 Mar 2026 - 4:49

408

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Iterative algorithm for computing $\Sigma^{1/2} x$

Published on 11 Jul 2023 - 5:59

34

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Equivalence between first-order optimality conditions for rank-$1$ constraint and quadratic form

Published on 23 Feb 2026 - 6:58

168

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Definiteness of symmetrix block matrix

Published on 27 Mar 2026 - 1:44

66

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For any $A\in \mathbb{R}^{n\times m} $, there exists a constant $a>0$ such that $A^TAA^TA-aA^TA \geq 0$.

Published on 19 Jul 2023 - 2:22

87

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Is a non-negative quadratic polynomial always a sum of squares?

Published on 19 Jul 2023 - 11:08

36

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Question about proving positive definiteness

Published on 19 Jul 2023 - 12:47

56

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On the transitivity of the Löwner order

Published on 20 Jul 2023 - 18:34

List Question

Why is gradient symmetric at optimal point for convex functions on the positive semidefinite cone?

Positive semidefiniteness in Boolean least-squares problem

If $\langle x,y\rangle>0$, does there exist a positive-definite transformation $A$ such that $Ax=y$?

Hessian positive semidefinite for a matrix variable function?

Is the (kind of direct) sum of positive definite matrices (with common subdomain) positive definite?

Change in kernel after rank-1 update

Norm of sum of positive matrices versus the sum of norms

Positive semidefinite block matrix

Iterative algorithm for computing $\Sigma^{1/2} x$

Equivalence between first-order optimality conditions for rank-$1$ constraint and quadratic form

Definiteness of symmetrix block matrix

For any $A\in \mathbb{R}^{n\times m} $, there exists a constant $a>0$ such that $A^TAA^TA-aA^TA \geq 0$.

Is a non-negative quadratic polynomial always a sum of squares?

Question about proving positive definiteness

On the transitivity of the Löwner order

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