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The preconditioned iterative methods with variable parameters for saddle point problem
Huang, Na1,2,3; Ma, Chang-Feng1,2
2018-10-01
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
ISSN0096-3003
Volume334Pages:152-167
AbstractIn 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.
KeywordSaddle point problem Preconditioned iterative method Variable parameters Optimal parameter Convergence
DOI10.1016/j.amc.2018.03.118
Language英语
Funding ProjectNational Postdoctoral Program for Innovative Talents[BX201600182] ; China Postdoctoral Science Foundation[2016M600141] ; Fujian Natural Science Foundation[2016J01005] ; Fujian Natural Science Foundation[2015J01578]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000432790300011
PublisherELSEVIER SCIENCE INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30378
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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