Parallel Multisplitting AOR Method for Solving a Class of System of Nonlinear Algebraic Equations

Bai Zhongzhi

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(7): 633-639

Bai Zhongzhi. Parallel Multisplitting AOR Method for Solving a Class of System of Nonlinear Algebraic Equations[J]. Applied Mathematics and Mechanics, 1995, 16(7): 633-639.

Citation:

Bai Zhongzhi. Parallel Multisplitting AOR Method for Solving a Class of System of Nonlinear Algebraic Equations[J]. Applied Mathematics and Mechanics, 1995, 16(7): 633-639.

Citation:

Bai Zhongzhi. Parallel Multisplitting AOR Method for Solving a Class of System of Nonlinear Algebraic Equations[J]. Applied Mathematics and Mechanics, 1995, 16(7): 633-639.

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Parallel Multisplitting AOR Method for Solving a Class of System of Nonlinear Algebraic Equations

Bai Zhongzhi

Institute of Mathematics, Fudan University, Shanghai 200433

Received Date: 1994-05-27
Publish Date: 1995-07-15

Abstract

Abstract

In this paper,we propose a class of parallel multisplitting AOR method for solving large-scale system of nonlinear algehraic equations Aφ(x)+Bφ(x)=b,Under certain conditions,we prove the exisrtence and uniqueness of the solution of thissystem of nonlinear equations and.set up thc globai convergence theory of the newmethod.
- system of nonlinear algebraic equations,
- parallel method,
- relaxation,
- H-matrix

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References(7)

References

[1]	D.P.O Leary and R.E.White,Multisplittings of matrices and parallel solution of linear systems,SIAM J.Alg.Disc Meth.,6(1985),630-640.
[2]	R.E.White,A nonlinear parallel algorithm with application to the Stefan problem,SIAM J.Numer.Anal..23(1986),639-652.
[3]	Bai Zhongzhi,Parallel nonlinear AOR method and its convergence(1994).
[4]	R.E.White,Paralled algorithms for nonlinear problems,SIAM J.A份.Disc.Merh.,7(1986).137-149.
[5]	R.E.White,An enthalpy formulation of the Stefan problem,SIAM J.Nunrer.Anal.,19(1982).1129-1157.
[6]	R.E.White,The binary alloy solidfication problem:existence,uniqueness and numerical approximation,SIAM J.Nurner.Anal.,22(1985),205-244.
[7]	J.M.Ortega and W.C.Rheinboldt,Iterative Solutions of Nonlinear Equation irr Sereral Variables.Academic Press,New York(1970).