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Positive semidefinite complex matrix
Formulation 0
A D6159: Complex square matrix $A \in \mathbb{C}^{N \times N}$ is positive semidefinite if and only if \begin{equation} \forall \, z \in \mathbb{C}^{N \times 1} : z^* A z \in [0, \infty) \end{equation}
Also known as
Nonnegative definite complex matrix
Child definitions
» D2100: Positive definite complex matrix
» D4937: Positive semidefinite real matrix
Results
» R5590: Complex matrix gramians are positive semidefinite