  We study the Giant Magnetoresistance (GMR) ratio in magnetic multiayers with
a single superconducting contact in the presence of spin-mixing processes. It
has been recently shown that the GMR ratio of magnetic multilayers is strongly
suppressed by the presence of a superconducting contact when spin-flipping is
not allowed. In this Letter we demonstrate that the GMR ratio can be
dramatically enhanced by spin-orbit interaction and/or non-collinear magnetic
moments. The system is described using a tight-binding model with either s-p-d
or s-d atomic orbitals per site.
