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

doi:10.1016/j.amc.2014.07.031

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems
	Li, Xu 4; Wu, Yu-Jiang 1,5; Yang, Ai-Li 3,5; Yuan, Jin-Yun 2
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2014-10
卷号	244 页码:552-560
关键词	Saddle point problem Parameterized inexact Uzawa method Convergence Semi-convergence
ISSN号	0096-3003
DOI	10.1016/j.amc.2014.07.031
英文摘要	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.
资助项目	National Natural Science Foundation of China[11271173]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000342265700049
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/34284]
专题	理学院材料科学与工程学院
通讯作者	Li, Xu
作者单位	1.IMPA, Inst Ind Math, BR-81531980 Curitiba, PR, Brazil 2.Univ Fed Parana, Ctr Politecn, Dept Math, BR-81531980 Curitiba, PR, Brazil 3.Key Lab Appl Math & Complex Syst, Lanzhou 730000, Gansu, Peoples R China 4.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China 5.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
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.