ThmDex – An index of mathematical definitions, results, and conjectures.
F8555
Formulation 0
A D6160: Real square matrix $A \in \mathbb{R}^{N \times N}$ is positive semidefinite if and only if \begin{equation} \forall \, x \in \mathbb{R}^{N \times 1} : x^T A x \in [0, \infty) \end{equation}