New posts in Positive Definite

Find positive definite $X$ such that $AXA^T=\alpha X$.

Eigenvalue bound for quadratic maximization with linear constraint

If a matrix $A \in \mathbb{R}^{N\times N}$ is both row and column diagonally dominant, will it satisfy $(x^{2p-1})^T A x \geq 0, p \geq 1$?

What is the image of $x^{\rm T}Qx\le 1$ under a linear map $x \mapsto Cx$?

Is there any obvious way to enforce a minimum amount of "positive definiteness" on a matrix?

Why does the inner product of two vectors have to be positive definite?

Positive-definiteness of matrix with $|a_{ij}| \leq \frac{1}{ij}$

Are conjugate vectors unique?

How to solve $A^{\frac 12} B A^{\frac 12} = C$ for $A$?

Analyze the symmetric property of positive definite matrices