  For the large sparse systems of weakly nonlinear equations arising in the
discretizations of many classical differential and integral equations, this
paper presents a class of synchronous parallel multi-splitting two-stage
two-parameter over-relaxation (TOR) methods for getting their solutions by the
high-speed multiprocessor systems. Under suitable assumptions, we study the
global convergence properties of these synchronous multi-splitting two-stage
TOR methods.
