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.
点击下载:
PDF (247KB)
返 回