| Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices | |
Bai ZZ; 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 | NUMERICAL ALGORITHMS
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| 2013-04 | |
| Volume | 62Issue:4Pages:655-675 |
| ISSN | 1017-1398 |
| Abstract | For a class of block two-by-two systems of linear equations with certain skew-Hamiltonian coefficient matrices, we construct additive block diagonal preconditioning matrices and discuss the eigen-properties of the corresponding preconditioned matrices. The additive block diagonal preconditioners can be employed to accelerate the convergence rates of Krylov subspace iteration methods such as MINRES and GMRES. Numerical experiments show that MINRES preconditioned by the exact and the inexact additive block diagonal preconditioners are effective, robust and scalable solvers for the block two-by-two linear systems arising from the Galerkin finite-element discretizations of a class of distributed control problems. |
| Keyword | Block Two-by-two Matrices Pmhss Iteration Block Diagonal Matrix Preconditioning Spectral Properties Pde-constrained Optimization |
| Subject Area | 一般力学 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000316569000008 |
| Funding Organization | National Natural Science Foundation for Creative Research Groups [11021101]; Hundred Talent Project of Chinese Academy of Sciences; National Basic Research Program [2011CB309703]; National Natural Science Foundation, P.R. China [91118001, 1001175] |
| Department | LMFS水环境流体力学(LEM) |
| Classification | 二类/Q2 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/47190 |
| 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,Chen F,Wang ZQ,et al. Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices[J]. NUMERICAL ALGORITHMS,2013,62,4,:655-675. |
| APA | Bai ZZ,Chen F,Wang ZQ,&Bai, ZZ .(2013).Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices.NUMERICAL ALGORITHMS,62(4),655-675. |
| MLA | Bai ZZ,et al."Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices".NUMERICAL ALGORITHMS 62.4(2013):655-675. |
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