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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 4, 页码: 19
Authors:
Bai, Zhong-Zhi
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Submit date:2019/12/13
convergence
Hermitian and skew-Hermitian splitting
iteration method
preconditioning
system of linear equations
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
Authors:
Huang, Na
;
Ma, Chang-Feng
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View/Download:331/98
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Submit date:2018/07/25
PDE-constrained optimization
Saddle point matrices
Preconditioner
Cholesky decomposition
Spectral bound
New perturbation bounds for the spectrum of a normal matrix
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 455, 期号: 1-2, 页码: 1937-1955
Authors:
Xu, Xuefeng
;
Zhang, Chen-Song
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View/Download:142/0
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Submit date:2018/07/30
Spectrum
Perturbation
Hermitian matrix
Normal matrix
Departure from normality
On SSOR-like preconditioners for non-Hermitian positive definite matrices
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2016, 卷号: 23, 期号: 1, 页码: 37-60
Authors:
Bai, Zhong-Zhi
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View/Download:74/0
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Submit date:2018/07/30
non-Hermitian matrix
positive definiteness
preconditioning
SSOR iteration
eigenvalue distribution
On HSS-based constraint preconditioners for generalized saddle-point problems
期刊论文
NUMERICAL ALGORITHMS, 2011, 卷号: 57, 期号: 2, 页码: 273-287
Authors:
Zhang, Guo-Feng
;
Ren, Zhi-Ru
;
Zhou, Yuan-Yuan
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View/Download:65/0
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Submit date:2018/07/30
Saddle-point problem
Iterative method
Preconditioning method
Non-Hermitian indefinite linear system
HSS-based preconditioner
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems
期刊论文
COMPUTING, 2010, 卷号: 89, 期号: 3-4, 页码: 171-197
Authors:
Bai, Zhong-Zhi
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View/Download:56/0
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Submit date:2018/07/30
Singular linear system
Non-Hermitian matrix
Positive semidefinite matrix
Hermitian and skew-Hermitian splitting
Splitting iteration method
Semi-convergence
Preconditioning matrix
Krylov subspace method
Several splittings for non-Hermitian linear systems
期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 8, 页码: 1339-1348
Authors:
Bai, Zhong-Zhi
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Submit date:2018/07/30
Hermitian and skew-Hermitian splitting
non-Hermitian linear system
splitting iterative scheme
convergence
Convergence conditions for splitting iteration methods for non-Hermitian linear systems
期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 卷号: 428, 期号: 2-3, 页码: 453-468
Authors:
Wang, Li
;
Bai, Zhong-Zhi
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View/Download:62/0
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Submit date:2018/07/30
non-Hermitian linear systems
splitting iteration method
convergence
On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 卷号: 428, 期号: 2-3, 页码: 413-440
Authors:
Bai, Zhong-Zhi
;
Golub, Gene H.
;
Ng, Michael K.
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View/Download:64/0
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Submit date:2018/07/30
Hermitian matrix
skew-Hermitian matrix
inexact iterations
conjugate gradient (CG) method
Lanczos method
conjugate gradient for normal equations (CGNE) method
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2007, 卷号: 14, 期号: 4, 页码: 319-335
Authors:
Bai, Zhong-Zhi
;
Golub, Gene H.
;
Ng, Michael K.
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View/Download:54/0
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Submit date:2018/07/30
non-Hermitian matrix
normal matrix
Hermitian matrix
skew-Hermitian matrix
splitting iteration method
successive overrelaxation