On inexact preconditioners for nonsymmetric matrices

doi:10.1137/040604091

	On inexact preconditioners for nonsymmetric matrices
	Bai, ZZ; Ng, MK
	2005
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	26 期号:5 页码:1710-1724
摘要	Inexact versions of the block-triangular preconditioners for nonsymmetric matrices of block two-by-two structures in [ M. F. Murphy, G. H. Golub, and A. J. Wathen, SIAM J. Sci. Comput., 21 ( 2000), pp. 1969 - 1972] and [ I. C. F. Ipsen, SIAM J. Sci. Comput., 23 ( 2001), pp. 1050 - 1051] are presented, and the two preconditioners for symmetric block two-by-two matrices in [ C. Durazzi and V. Ruggiero, Numer. Linear Algebra Appl., 10 ( 2003), pp. 673 - 688] are extended to general nonsymmetric matrices. Moreover, we precisely describe the spectral properties of the preconditioned matrices and the finite-step termination properties of the preconditioned Krylov subspace iteration methods with an optimal or Galerkin property, with respect to these preconditioners. Several numerical examples are performed to illustrate the effectiveness of the proposed preconditioners.
关键词	block two-by-two matrices preconditioners minimal polynomial
DOI	10.1137/040604091
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000229475200012
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2136
专题	计算数学与科学工程计算研究所
通讯作者	Bai, ZZ
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key lab Sci Engn Comp, Beijing 100080, Peoples R China 2.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Bai, ZZ,Ng, MK. On inexact preconditioners for nonsymmetric matrices[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2005,26(5):1710-1724.
APA	Bai, ZZ,&Ng, MK.(2005).On inexact preconditioners for nonsymmetric matrices.SIAM JOURNAL ON SCIENTIFIC COMPUTING,26(5),1710-1724.
MLA	Bai, ZZ,et al."On inexact preconditioners for nonsymmetric matrices".SIAM JOURNAL ON SCIENTIFIC COMPUTING 26.5(2005):1710-1724.