Block Preconditioners for Complex Symmetric Linear System with Two-by-Two Block Form

被引:0
作者
Wu, Shi-Liang [1 ]
Li, Cui-Xia [1 ]
机构
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China
关键词
ITERATIVE METHODS; VARIANTS;
D O I
10.1155/2015/618380
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Based on the previous work by Zhang and Zheng (A parameterized splitting iteration method for complex symmetric linear systems, Japan J. Indust. Appl. Math., 31 (2014) 265-278), three block preconditioners for complex symmetric linear system with two-by-two block form are presented. Spectral properties of the preconditioned matrices are discussed in detail. It is shown that all the eigenvalues of the preconditioned matrices are well-clustered. Numerical experiments are reported to illustrate the efficiency of the proposed preconditioners.
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页数:9
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共 25 条
[1]   Optical tomography in medical imaging [J].
Arridge, SR .
INVERSE PROBLEMS, 1999, 15 (02) :R41-R93
[2]  
Axelsson O, 2000, NUMER LINEAR ALGEBR, V7, P197, DOI 10.1002/1099-1506(200005)7:4<197::AID-NLA194>3.0.CO
[3]  
2-S
[4]   A comparison of iterative methods to solve complex valued linear algebraic systems [J].
Axelsson, Owe ;
Neytcheva, Maya ;
Ahmad, Bashir .
NUMERICAL ALGORITHMS, 2014, 66 (04) :811-841
[5]  
Bai Z.-Z., 2014, J ENG MATH
[6]   Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems [J].
Bai, Zhong-Zhi ;
Benzi, Michele ;
Chen, Fang ;
Wang, Zeng-Qi .
IMA JOURNAL OF NUMERICAL ANALYSIS, 2013, 33 (01) :343-369
[7]   Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models [J].
Bai, Zhong-Zhi .
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2012, 19 (06) :914-936
[8]   On preconditioned MHSS iteration methods for complex symmetric linear systems [J].
Bai, Zhong-Zhi ;
Benzi, Michele ;
Chen, Fang .
NUMERICAL ALGORITHMS, 2011, 56 (02) :297-317
[9]   Modified HSS iteration methods for a class of complex symmetric linear systems [J].
Bai, Zhong-Zhi ;
Benzi, Michele ;
Chen, Fang .
COMPUTING, 2010, 87 (3-4) :93-111
[10]  
Bai ZZ, 2006, MATH COMPUT, V75, P791, DOI 10.1090/S0025-5718-05-01801-6