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Positive semidefinite real matrix
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}
Also known as
Nonnegative definite real matrix
Child definitions
» D4938: Positive definite real matrix
Results
» R5591: Real matrix gramians are positive semidefinite