New posts in positive-semidefinite

Loewner order and norms of images: Does $A \preccurlyeq B$ imply $\|Ax\| \leq \|Bx\|$?

linear-algebra positive-semidefinite

Minimization of a convex quadratic form

optimization convex-optimization numerical-optimization quadratic-programming positive-semidefinite

Definiteness of a general partitioned matrix $\mathbf M=\left[\begin{matrix}\bf A & \bf B\\\bf B^\top & \bf D \\\end{matrix}\right]$

linear-algebra matrices quadratic-forms positive-definite positive-semidefinite

Find the Matrix Projection of a Symmetric Matrix onto the set of Symmetric Positive Semi Definite (PSD) Matrices

matrices convex-optimization positive-semidefinite projection

About positive semidefiniteness of one matrix

linear-algebra matrices positive-semidefinite

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

matrices trace positive-semidefinite

If $A$ and $B$ are linear transformations on a finite-dimensional inner product space, and if $\textbf{0} \leq A \leq B$, then det $A \leq$ det $B$.

linear-transformations determinant positive-definite positive-semidefinite

Are positive definite matrices robust to "small changes"?

linear-algebra matrices positive-definite symmetric-matrices positive-semidefinite

Under what circumstance will a covariance matrix be positive semi-definite rather than positive definite?

matrices probability-theory statistics positive-semidefinite

Why do mathematicians use only symmetric matrices when they want positive semi-definite matrices?

matrices soft-question positive-semidefinite

A and B are real, symmetric and positive semi-definite matrices of the same order; is AB diagonalizable?

linear-algebra matrices positive-semidefinite

Showing that $(A_{ij})=\left(\frac1{1+x_i+x_j}\right)$ is positive semidefinite

linear-algebra matrices inner-products positive-definite positive-semidefinite

Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?

linear-algebra matrices svd symmetric-matrices positive-semidefinite

If $\rho\leq\sigma$, is $\operatorname{rank}(\rho)\leq\operatorname{rank}(\sigma)$?

linear-algebra matrix-rank positive-semidefinite

Is the set of positive-definite symmetric matrices open in the set of all matrices?

general-topology functional-analysis topological-vector-spaces symmetric-matrices positive-semidefinite

Properties of the cone of positive semidefinite matrices

matrices order-theory lattice-orders positive-semidefinite vector-lattices

Prove that every positive semidefinite matrix has nonnegative eigenvalues

linear-algebra matrices positive-semidefinite

What is the proof that covariance matrices are always semi-definite?

probability matrices vector-spaces proof-writing positive-semidefinite

Intuitive explanation of a positive semidefinite matrix

linear-algebra matrices intuition positive-semidefinite hermitian-matrices

Is the product of symmetric positive semidefinite matrices positive definite?

linear-algebra matrices positive-semidefinite