  Precision experiments, such as the search for a deuteron electric dipole
moments using a storage rings like COSY, demand for an understanding of the
spin dynamics with unprecedented accuracy. In such an enterprise, numerical
predictions play a crucial role for the development and later application of
spin-tracking algorithms. Various measurement concepts involving polarization
effects induced by an RF Wien filter and static solenoids in COSY are
discussed. The matrix formalism, applied here, deals \textit{solely} with spin
rotations \textit{on the closed orbit} of the machine, and is intended to
provide \textit{numerical} guidance for the development of beam and
spin-tracking codes for rings that employ realistic descriptions of the
electric and magnetic bending and focusing elements, solenoids etc., and a
realistically-modeled RF Wien filter.
