Thursday, December 20, 2012

1212.4746 (Hwang Myong Gun)

Synchronous Multi-splitting Two-stage TOR Methods for Systems of Weakly
Nonlinear Equations

Hwang Myong Gun
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.
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