qics.cones.PosSemidefinite

class qics.cones.PosSemidefinite(n, iscomplex=False)

A class representing a positive semidefinite cone defined either on real symmetric matrices

\[\mathbb{S}^n_+ = \{ X \in \mathbb{S}^n : X \succeq 0 \},\]

or complex Hermitian matrices

\[\mathbb{H}^n_+ = \{ X \in \mathbb{H}^n : X \succeq 0 \}.\]

Parameters:

nint

Dimension of the matrix \(X\).

iscomplexbool

Whether the matrix \(X\) is defined over \(\mathbb{H}^n\) (True), or restricted to \(\mathbb{S}^n\) (False). The default is False.