List questions from positive-semidefinite

Published on 10 Sep 2019 - 11:40

385

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Inverse of a symmetric positive diagonally dominant, doubly stochastic matrix

Published on 11 Sep 2019 - 15:58

28

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Is negative square root defined for a positive semidefinte matrix?

Published on 16 Sep 2019 - 4:32

79

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When does $X \succcurlyeq \operatorname{diag}(X)\operatorname{diag}(X)^\top$, if $X \succcurlyeq 0$?

Published on 25 Mar 2026 - 15:42

1.8k

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Proof that covariance matrix is positive semi-definite (and not positive definite)

Published on 22 Sep 2019 - 13:36

2.1k

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Minima of positive definite and positive semidefinite functions

Published on 29 Sep 2019 - 2:00

1.1k

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Positive definite when multiplying by two matrices

Published on 29 Sep 2019 - 21:42

8.5k

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$f$ is convex function iff Hessian matrix is nonnegative-definite.

Published on 25 Mar 2026 - 17:25

1.3k

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Least Squares of Symmetric Positive Semidefinite Matrices

Published on 16 Apr 2014 - 18:20

637

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Is this rank-$1$ matrix semidefinite?

Published on 22 Mar 2026 - 12:08

212

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Closest positive definite matrix subject to a constraint

Published on 18 Jul 2014 - 4:58

10.8k

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Is the trace of the product of two positive semidefinite matrices always nonnegative?

Published on 06 Aug 2014 - 2:34

40.3k

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Does a positive semidefinite matrix always have a non-negative trace?

Published on 11 Sep 2014 - 19:01

52

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Prove: if $B$ is semidefinite, then $B_{11}$ is semidefinite as well

Published on 18 Sep 2014 - 16:05

1.7k

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Prove That the Gram Matrix Determines Vectors Up to Isometry / Multiplication by Unitary Matrix

Published on 25 Mar 2026 - 6:03

List Question

Real positive semi definite implies Hermitian semi definite

Inverse of a symmetric positive diagonally dominant, doubly stochastic matrix

Is negative square root defined for a positive semidefinte matrix?

When does $X \succcurlyeq \operatorname{diag}(X)\operatorname{diag}(X)^\top$, if $X \succcurlyeq 0$?

Proof that covariance matrix is positive semi-definite (and not positive definite)

Minima of positive definite and positive semidefinite functions

Positive definite when multiplying by two matrices

$f$ is convex function iff Hessian matrix is nonnegative-definite.

Least Squares of Symmetric Positive Semidefinite Matrices

Is this rank-$1$ matrix semidefinite?

Closest positive definite matrix subject to a constraint

Is the trace of the product of two positive semidefinite matrices always nonnegative?

Does a positive semidefinite matrix always have a non-negative trace?

Prove: if $B$ is semidefinite, then $B_{11}$ is semidefinite as well

Prove That the Gram Matrix Determines Vectors Up to Isometry / Multiplication by Unitary Matrix

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