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Numerical study on incomplete orthogonal factorization preconditioners

文献类型：期刊论文

作者Bai, Zhong-Zhi1; Duff, Iain S.2; Yin, Jun-Feng1
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版日期2009-04-01
卷号226期号:1页码:22-41
关键词Preconditioning Givens rotation Incomplete orthogonal factorization Nonsymmetric matrix Normal equations
ISSN号0377-0427
DOI10.1016/j.cam.2008.05.014
英文摘要We design, analyse and test a class of incomplete orthogonal factorization preconditioners constructed from Givens rotations, incorporating some dropping strategies and updating tricks, for the solution of large sparse systems of linear equations. Comprehensive accounts about how the preconditioners are coded, what storage is required and how the computation is executed for a given accuracy are presented. A number of numerical experiments show that these preconditioners are competitive with standard incomplete triangular factorization preconditioners when they are applied to accelerate Krylov subspace iteration methods such as GMRES and BiCGSTAB. (c) 2008 Elsevier B.V. All rights reserved.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000264670200004
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7679]  
专题计算数学与科学工程计算研究所
通讯作者Bai, Zhong-Zhi
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
2.Atlas Ctr, Rutherford Appleton Lab, Chilton OX11 0QD, Oxon, England
推荐引用方式
GB/T 7714		 Bai, Zhong-Zhi,Duff, Iain S.,Yin, Jun-Feng. Numerical study on incomplete orthogonal factorization preconditioners[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,226(1):22-41.
APA Bai, Zhong-Zhi,Duff, Iain S.,&Yin, Jun-Feng.(2009).Numerical study on incomplete orthogonal factorization preconditioners.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,226(1),22-41.
MLA Bai, Zhong-Zhi,et al."Numerical study on incomplete orthogonal factorization preconditioners".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 226.1(2009):22-41.

入库方式： OAI收割

来源：数学与系统科学研究院

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