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On preconditioned iteration methods for complex linear systems
Bai, Zhong-Zhi
AbstractA complex system of linear equations arises in many important applications. We further explore algebraic and convergence properties and present analytical and numerical comparisons among several available iteration methods such as C-to-R and PMHSS for solving such a class of linear systems. Theoretical analyses and computational results show that reformulating a complex linear system into an equivalent real form is a feasible and effective approach, for which we can construct, analyze, and implement accurate, efficient, and robust preconditioned iteration methods.
KeywordComplex symmetric linear system Convergence theory PMHSS iteration Preconditioning Real reformulation Spectral properties
Funding ProjectChinese Academy of Sciences ; National Basic Research Program[2011CB309703] ; National Natural Science Foundation[91118001] ; National Natural Science Foundation for Creative Research Groups, P. R. China[11021101] ; National Natural Science Foundation for Creative Research Groups, P. R. China[11321061]
WOS Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000360084200004
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Document Type期刊论文
Corresponding AuthorBai, Zhong-Zhi
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Bai, Zhong-Zhi. On preconditioned iteration methods for complex linear systems[J]. JOURNAL OF ENGINEERING MATHEMATICS,2015,93(1):41-60.
APA Bai, Zhong-Zhi.(2015).On preconditioned iteration methods for complex linear systems.JOURNAL OF ENGINEERING MATHEMATICS,93(1),41-60.
MLA Bai, Zhong-Zhi."On preconditioned iteration methods for complex linear systems".JOURNAL OF ENGINEERING MATHEMATICS 93.1(2015):41-60.
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