The preconditioned iterative methods with variable parameters for saddle point problem

doi:10.1016/j.amc.2018.03.118

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	The preconditioned iterative methods with variable parameters for saddle point problem
	Huang, Na 1,2,3; Ma, Chang-Feng 1,2
	2018-10-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	334 页码:152-167
摘要	In this paper, by transforming the original problem equivalently, we propose a new preconditioned iterative method for solving saddle point problem. We call the new method as PTU ( preconditioned transformative Uzawa) method. And we study the convergence of the PTU method under suitable restrictions on the iteration parameters. Moreover, we show the choices of the optimal parameters and the spectrum of the preconditioned matrix deriving from the PTU method. Based on the PTU iterative method, we propose another iterative method - nonlinear inexact PTU method - for solving saddle point problem. We also prove its convergence and study the choices of the optimal parameters. In addition, we present some numerical results to illustrate the behavior of the considered algorithms. (C) 2018 Elsevier Inc. All rights reserved.
关键词	Saddle point problem Preconditioned iterative method Variable parameters Optimal parameter Convergence
DOI	10.1016/j.amc.2018.03.118
语种	英语
资助项目	National Postdoctoral Program for Innovative Talents[BX201600182] ; China Postdoctoral Science Foundation[2016M600141] ; Fujian Natural Science Foundation[2016J01005] ; Fujian Natural Science Foundation[2015J01578]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000432790300011
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30378
专题	中国科学院数学与系统科学研究院
通讯作者	Ma, Chang-Feng
作者单位	1.Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China 2.Fujian Normal Univ, FJKLMAA, Fuzhou 350117, Fujian, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Na,Ma, Chang-Feng. The preconditioned iterative methods with variable parameters for saddle point problem[J]. APPLIED MATHEMATICS AND COMPUTATION,2018,334:152-167.
APA	Huang, Na,&Ma, Chang-Feng.(2018).The preconditioned iterative methods with variable parameters for saddle point problem.APPLIED MATHEMATICS AND COMPUTATION,334,152-167.
MLA	Huang, Na,et al."The preconditioned iterative methods with variable parameters for saddle point problem".APPLIED MATHEMATICS AND COMPUTATION 334(2018):152-167.