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On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 77, 期号: 9, 页码: 2396-2406
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang;  Jian, Shuai
收藏  |  浏览/下载:160/0  |  提交时间:2020/01/10
Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning  
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
作者:  Huang, Na;  Ma, Chang-Feng
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PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Regularized HSS iteration methods for saddle-point linear systems 期刊论文
BIT NUMERICAL MATHEMATICS, 2017, 卷号: 57, 期号: 2, 页码: 287-311
作者:  Bai, Zhong-Zhi;  Benzi, Michele
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
Saddle-point linear system  Hermitian and skew-Hermitian splitting  Iterative methods  Inexact implementation  Preconditioning  Convergence  
A modified modulus method for symmetric positive-definite linear complementarity problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2009, 卷号: 16, 期号: 2, 页码: 129-143
作者:  Dong, Jun-Liang;  Jiang, Mei-Qun
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
linear complementarity problem  system of linear equations  modulus method  inexact iterative method  symmetric positive-definite matrix  
Inexact multisplitting methods for linear complementarity problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 223, 期号: 2, 页码: 714-724
作者:  Dong, Jun-Liang
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
Linear complementarity problem  Inexact multisplitting method  H-matrix  Symmetric matrix  Convergence property  
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
作者:  Bai, Zhong-Zhi;  Golub, Gene H.;  Ng, Michael K.
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
Hermitian matrix  skew-Hermitian matrix  inexact iterations  conjugate gradient (CG) method  Lanczos method  conjugate gradient for normal equations (CGNE) method  
Nonlinear inexact Uzawa algorithms for linear and nonlinear saddle-point problems 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2006, 卷号: 16, 期号: 3, 页码: 798-825
作者:  Hu, QY;  Zou, J
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
linear and nonlinear saddle-point problems  inexact Uzawa algorithm  preconditioning  
Hermitian and skew-Hermitian splitting methods for non-hermitian positive definite linear systems 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 卷号: 24, 期号: 3, 页码: 603-626
作者:  Bai, ZZ;  Golub, GH;  Ng, MK
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
non-Hermitian matrix  splitting  Hermitian matrix  skew-Hermitian matrix  iterative methods  
Modified block SSOR preconditioners for symmetric positive definite linear systems 期刊论文
ANNALS OF OPERATIONS RESEARCH, 2001, 卷号: 103, 页码: 263-282
作者:  Bai, ZZ
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
symmetric positive definite linear system  block SSOR iteration  preconditioner  hierarchical basis discretization