The Green's function technique has been employed to examine the finite
-temperature properties of a magnetic multilayer both in aligned and i
n canted spin configurations. A local coordinates system is introduced
to describe complicated spin configurations which are determined by m
inimizing the free energy of the magnetic multilayer. Thermal averages
of S-m(Zm) in each layer are selected to be independent variables: an
d the necessarily self-consistent equations are obtained successfully
based on the random phase approximation. The temperature dependences o
f the coercivity, the hysteresis, and the magnetic multivalued recordi
ng have been discussed, and an application of the present approach to
the canted spin state is given in a double-film system.