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)![]() ![]() | |
Source Publication | IMA JOURNAL OF NUMERICAL ANALYSIS
![]() |
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. |
Files in This Item: | Download All | |||||
File Name/Size | DocType | Version | Access | License | ||
D01041693.pdf(257KB) | 开放获取 | -- | View Download |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment