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Asynchronous parallel multisplitting nonlinear gauss-seidel iteration

Authors:

Affiliation:

(1) Institute of Computational Mathematics and Scientific /Engineering Computing, Chinese Academy of Sciences, P.O.Box 2719, 100080 Beijing;(2) Department of Mathematics, Shanghai University (Jiading Campus), 201800 Shanghai

Abstract:

An asynchronous parallel multisplitting nonlinear Gauss-Seidel iterative method is established for the particularly structured system of nonlinear equations Aϕ(x) + Bψp(x) = b with A,B

$Avarphi (x) + Bpsi (x) = b{text{ with }}A,B in L(R^n ),varphi ,psi :R^n to R^n$

being diagonal mappings and b ε R ⁿ, and the global convergence of it is proved. Project 19601036 supported by the National Natural Science Foundation of China.

Keywords:

System of nonlinear equations matrix multisplitting Gauss-Seidel method asynchronous iteration global convergence M-matrix

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