  Two types of non-Hermitian systems are considered. One of them is both
non-Hermitian and non-Linear and an iterative process is used to obtain excited
state solutions; the ground state may be solved exactly. The model has been
used in many physical systems and the method of calculation uses a simple
Hilbert space with a generalised inner product. The second type has a complex
term in the Hamiltonian and is a well studied problem in the infinite interval.
Here a finite interval is considered and a complete set of eigenfunctions for
this interval is used.The relationship between the finite interval states and
the infinite interval states is discussed.
