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$S^tDS$ positive semidefinite if $D$ is so

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The value of $x^T\Lambda x$ given $\Lambda$ is positive semidefinite

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#matrices #positive-semidefinite
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Is square of a matrix positive definite?

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#linear-algebra #matrices #positive-semidefinite
548
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Stability of a matrix product

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#linear-algebra #positive-semidefinite
306
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If ${\bf M}_{ij} = \min\{x_i,x_j\}$, is ${\bf M}$ positive semidefinite?

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#linear-algebra #symmetric-matrices #positive-semidefinite
657
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Local minimum has neighbourhood with positive semi-definite Hessian?

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#maxima-minima #positive-semidefinite #hessian-matrix
322
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About theory of convex cones

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#order-theory #convex-geometry #positive-semidefinite #projection #convex-cone
266
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Local minimum of an analytic function

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#maxima-minima #analytic-functions #positive-semidefinite #hessian-matrix
52
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Generalizing an euclidean metric problem to singular metrics

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#linear-algebra #inner-products #cauchy-schwarz-inequality #positive-semidefinite
92
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solve matrix equation involving diag and weighted summation of PSD matrices

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#matrix-equations #positive-semidefinite
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Is the positive semidefinite cone still self-dual in the larger vector space of all real $n \times n$ matrices?

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#linear-algebra #matrices #convex-analysis #symmetric-matrices #positive-semidefinite
65
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Sum of positive semi-difinite matrix inequality

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#positive-semidefinite
31
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Prove that the following matrix is semidefinite.

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#matrices #positive-semidefinite
108
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Equivalent notation for a strictly convex function is not strictly convex

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#convex-analysis #positive-semidefinite
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Uniqueness (up to isometries) of a $L^TL$ factorization of a PSD matrix.

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