  We present a convergence theory for Optimized Schwarz Methods that rely on a
non-local exchange operator and covers the case of coercive possibly
non-self-adjoint impedance operators. This analysis also naturally deals with
the presence of cross-points in subdomain partitions of arbitrary shape. In the
particular case of self-adjoint impedance, we recover the theory proposed in
[Claeys & Parolin, 2021].
