| Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems | |
Bai ZZ; Benzi M; Chen F(陈芳) ; Wang ZQ; Bai, ZZ (reprint author), Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China.
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| Source Publication | IMA JOURNAL OF NUMERICAL ANALYSIS
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| 2013-01 | |
| Volume | 33Issue:1Pages:343-369 |
| ISSN | 0272-4979 |
| Abstract | We construct a preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS) iteration scheme for solving and preconditioning a class of block two-by-two linear systems arising from the Galerkin finite element discretizations of a class of distributed control problems. The convergence theory of this class of PMHSS iteration methods is established and the spectral properties of the PMHSS-preconditioned matrix are analysed. Numerical experiments show that the PMHSS preconditioners can be quite competitive when used to precondition Krylov subspace iteration methods such as GMRES. |
| Keyword | Block Two-by-two Matrices Pmhss Iteration Preconditioning Spectral Properties Pde-constrained Optimization Kkt Systems |
| Subject Area | 一般力学 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000314894500014 |
| Funding Organization | National Natural Science Foundation for Innovative Research Groups [11021101]; Chinese Academy of Sciences; National Basic Research Program, People's Republic of China [2011CB309703] |
| Department | LMFS水环境流体力学(LEM) |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/47110 |
| Collection | 流固耦合系统力学重点实验室 |
| Corresponding Author | Bai, ZZ (reprint author), Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China. |
| Recommended Citation GB/T 7714 | Bai ZZ,Benzi M,Chen F,et al. Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2013,33(1):343-369. |
| APA | Bai ZZ,Benzi M,Chen F,Wang ZQ,&Bai, ZZ .(2013).Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems.IMA JOURNAL OF NUMERICAL ANALYSIS,33(1),343-369. |
| MLA | Bai ZZ,et al."Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems".IMA JOURNAL OF NUMERICAL ANALYSIS 33.1(2013):343-369. |
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