文章基本信息

标题：The Self-Adaptive Multi-Splitting Parallel Methods for Non-Hermitian Positive Definite Systems
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作者：Wang, Chuan-long ; Wang, Yan-Ping ; Wang, Jin 等
期刊名称：Journal of Software
印刷版ISSN：1796-217X
出版年度：2012
卷号：7
期号：11
页码：2400-2404
DOI：10.4304/jsw.7.11.2400-2404
语种：English
出版社：Academy Publisher
摘要：We present the convergent splitting and convergent multisplitting for linear system of algebraic equations Ax = b when the coefficient matrix is a non-hermitian positive definite matrix. Furthermore, we also establish the comparison theorems of different splittings or multisplittings based on numerical radius. Mainly, we propose two new selfadaptive multisplitting parallel methods which the weighting matrices are self-adaptive. Finally, we give an application to solve the two- dimensional advection-diffusion equations.
关键词：Non-hermitian matrix;positive definite matrix;multisplitting;;comparison theorem