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MULTISPLITTING RELAXED METHODS FOR A CLASS OF SYSTEM OF NONLINEAR EQUATIONS

 

作者: WANG DEREN,   BAI ZHONGZHI,   D. J. EVANS,  

 

期刊: Parallel Algorithms and Applications  (Taylor Available online 1995)
卷期: Volume 7, issue 1-2  

页码: 1-15

 

ISSN:1063-7192

 

年代: 1995

 

DOI:10.1080/10637199508915518

 

出版商: Taylor & Francis Group

 

关键词: System of nonlinear equations;relaxation;matrix multisplitting;global convergence

 

数据来源: Taylor

 

摘要:

We set up a class of parallel multisplilting relaxed methods for the system of nonlinear equationsAϕ(u) + Tψ(u) = G(u) withA,TϵL(Rn),ϕ,ψ:Rn → Rnbeing diagonal mappings andG: Rn → Rnbeing a general mapping, which is generally resulted from the discretization of many classical differential equations. Under rather proper conditions, we confirm the existence and uniqueness of the solution of this system of equations, and establish the global convergence theories for the new methods.

 

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