Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems

doi:10.1016/j.amc.2014.07.031

	Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems
	Li, Xu1 ; Wu, Yu-Jiang 2,3; Yang, Ai-Li 2,4; Yuan, Jin-Yun 5
	2014-10
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	244 页码:552-560
摘要	Recently, Bai and Wang (2008) [9] presented an efficient accelerated parameterized inexact Uzawa (APIU) method for solving both symmetric and nonsymmetric nonsingular saddle point problems. In this work, we propose a modified APIU (MAPIU) method for solving saddle point problems, which is an extension of the APIU iteration method and covers a series of existing iterative methods. The MAPIU method can be applied not only to the nonsingular case but also to the singular case. The convergence properties for the nonsingular saddle point problems and the semi-convergence properties for the singular one are carefully discussed under suitable restrictions. We prove that the MAPIU method has a wider convergence (or semi-convergence) region than the APIU method. (C) 2014 Elsevier Inc. All rights reserved.
关键词	Saddle point problem Parameterized inexact Uzawa method Convergence Semi-convergence
DOI	10.1016/j.amc.2014.07.031
收录类别	SCI ; SCIE
语种	英语
资助项目	National Natural Science Foundation of China[11271173]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000342265700049
出版者	ELSEVIER SCIENCE INC
EI入藏号	20143218041531
EI主题词	Iterative methods
EI分类号	921 Mathematics - 921.6 Numerical Methods
引用统计	被引频次：22[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/34284
专题	材料科学与工程学院理学院
通讯作者	Li, Xu
作者单位	1.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China; 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China; 3.IMPA, Inst Ind Math, BR-81531980 Curitiba, PR, Brazil; 4.Key Lab Appl Math & Complex Syst, Lanzhou 730000, Gansu, Peoples R China; 5.Univ Fed Parana, Ctr Politecn, Dept Math, BR-81531980 Curitiba, PR, Brazil
第一作者单位	材料科学与工程学院
通讯作者单位	材料科学与工程学院
第一作者的第一单位	材料科学与工程学院
推荐引用方式 GB/T 7714	Li, Xu,Wu, Yu-Jiang,Yang, Ai-Li,et al. Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems[J]. APPLIED MATHEMATICS AND COMPUTATION,2014,244:552-560.
APA	Li, Xu,Wu, Yu-Jiang,Yang, Ai-Li,&Yuan, Jin-Yun.(2014).Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems.APPLIED MATHEMATICS AND COMPUTATION,244,552-560.
MLA	Li, Xu,et al."Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems".APPLIED MATHEMATICS AND COMPUTATION 244(2014):552-560.

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