Optimization of the parameterized Uzawa preconditioners for saddle point matrices

doi:10.1016/j.cam.2008.05.019

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	Optimization of the parameterized Uzawa preconditioners for saddle point matrices
	Wang, Zeng-Qi
	2009-04-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	226 期号:1 页码:136-154
摘要	The parameterized Uzawa preconditioners for saddle point problems are studied in this paper. The eigenvalues of the preconditioned matrix are located in (0, 2) by choosing the suitable parameters. Furthermore, we give two strategies to optimize the rate of convergence by finding the suitable values of parameters. Numerical computations show that the parameterized Uzawa preconditioners can lead to practical and effective preconditioned GMRES methods for solving the saddle point problems. (c) 2008 Elsevier B.V. All rights reserved.
关键词	Saddle point problem Parameterized Uzawa preconditioner Optimal parameter
DOI	10.1016/j.cam.2008.05.019
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000264670200015
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7705
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Zeng-Qi
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, Zeng-Qi. Optimization of the parameterized Uzawa preconditioners for saddle point matrices[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,226(1):136-154.
APA	Wang, Zeng-Qi.(2009).Optimization of the parameterized Uzawa preconditioners for saddle point matrices.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,226(1),136-154.
MLA	Wang, Zeng-Qi."Optimization of the parameterized Uzawa preconditioners for saddle point matrices".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 226.1(2009):136-154.