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Synchronous Multi-splitting Two-stage TOR Methods for Systems of Weakly Nonlinear Equations (1212.4746v1)
Published 19 Dec 2012 in math-ph and math.MP
Abstract: 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.