Asynchronous multisplitting AOR methods for a class of systems of weakly nonlinear equations

被引：8
作者：
Bai, ZZ [1 ]
机构：
[1] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 98卷 / 01期
关键词：
system of weakly nonlinear equations; matrix multisplitting; asynchronous iteration; relaxation method;
D O I：
10.1016/S0096-3003(97)10154-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of asynchronous parallel multisplitting accelerated overrelaxation (AOR) methods for solving the system of weakly nonlinear equations Au + phi(u) = G(u), in which A is an element of L(R-n), phi(u) = (phi(1)(u(1)), phi(2)(u(2)),..., phi(n)(u(n)))(T) and G(u) = (g(1)(u),g(2)(u),..., g(n)(u))(T), is proposed and its global convergence theory is set up under suitable conditions. (C) 1999 Elsevier Science Inc. All rights reserved.
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页码：49 / 59
页数：11
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