A note on constraint preconditioning or nonsymmetric indefinite matrices

被引:37
作者
Cao, ZH [1 ]
机构
[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
[2] Fudan Univ, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
关键词
preconditioning; indefinite matrix; minimal polynomial;
D O I
10.1137/S0895479801391424
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The constraint preconditioner for indefinite linear systems in [ C. Keller, N. I. M. Gould, and A. J. Wathen, SIAM J. Matrix Anal. Appl., 21 ( 2000), pp. 1300 1317] is extended to nonsymmetric matrices.
引用
收藏
页码:121 / 125
页数:5
相关论文
共 50 条
[42]   Preconditioning of block Toeplitz matrices by sine transforms [J].
DiBenedetto, F .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1997, 18 (02) :499-515
[43]   On the preconditioning of matrices with skew-symmetric splittings [J].
Gene H. Golub ;
Denis Vanderstraeten .
Numerical Algorithms, 2000, 25 :223-239
[44]   Optimal order preconditioning of finite difference matrices [J].
Notay, Y .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2000, 21 (06) :1991-2007
[45]   On the preconditioning of matrices with skew-symmetric splittings [J].
Golub, GH ;
Vanderstraeten, D .
NUMERICAL ALGORITHMS, 2000, 25 (1-4) :223-239
[46]   A note on weighted FOM and GMRES for solving nonsymmetric linear systems [J].
Cao, ZH ;
Yu, XY .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (03) :719-727
[47]   SPECTRAL ANALYSIS OF SADDLE POINT MATRICES WITH INDEFINITE LEADING BLOCKS [J].
Gould, N. I. M. ;
Simoncini, V. .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2009, 31 (03) :1152-1171
[48]   PRECONDITIONING MIXED ELEMENT METHOD FOR NONSELFADJOINT AND INDEFINITE SECOND ORDER ELLIPTIC PROBLEMS [J].
陈金如 ;
陈文斌 .
NumericalMathematicsAJournalofChineseUniversities(EnglishSeries), 1999, (01) :67-82
[49]   Block preconditioning for saddle point systems with indefinite (1,1) block [J].
Benzi, Michele ;
Liu, Jia .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2007, 84 (08) :1117-1129
[50]   On PSS-based constraint preconditioners for singular nonsymmetric saddle point problems [J].
Liang, Zhao-Zheng ;
Zhang, Guo-Feng .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (06) :455-465