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Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
Favorite  |  View/Download：94/0  |  Submit date：2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
NUMERICAL INVESTIGATION OF ENSEMBLE METHODS WITH BLOCK ITERATIVE SOLVERS FOR EVOLUTION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 卷号: 25, 期号: 12, 页码: 4905-4923
Authors:  Ju, Lili;  Leng, Wei;  Wang, Zhu;  Yuan, Shuai
Favorite  |  View/Download：101/0  |  Submit date：2021/01/14
Ensemble method  ensemble-based time stepping  block CG  block GMRES  iterative linear solver  
Uzawa methods for a class of block three-by-three saddle-point problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 页码: 26
Authors:  Huang, Na;  Dai, Yu-Hong;  Hu, QiYa
Favorite  |  View/Download：116/0  |  Submit date：2020/01/10
inexact Uzawa method  saddle-point problem  Uzawa method  
Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 11, 页码: 2856-2873
Authors:  Huang, Na;  Ma, Chang-Feng;  Zou, Jun
Favorite  |  View/Download：107/0  |  Submit date：2018/07/30
Maxwell scattering problem  PML equations  Block triangular preconditioner  Spectral distributions  
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
View  |  Adobe PDF(577Kb)  |  Favorite  |  View/Download：334/99  |  Submit date：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Comparative study on order-reduced methods for linear third-order ordinary differential equations 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2012, 卷号: 7, 期号: 6, 页码: 1151-1168
Authors:  Ren Zhiru
Favorite  |  View/Download：50/0  |  Submit date：2021/01/14
PRECONDITIONED ITERATIVE METHODS  SYSTEMS  FLOWS  third-order ordinary differential equation  order-reduced method  sinc discretization  preconditioner  Krylov subspace method  
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 卷号: 26, 期号: 2, 页码: 240-249
Authors:  Yin, Junfeng;  Bai, Zhongzhi
Favorite  |  View/Download：62/0  |  Submit date：2018/07/30
block two-by-two linear system  saddle point problem  restrictively preconditioned conjugate gradient method  normal-residual equation  incomplete orthogonal factorization  
Multifolded torus chaotic attractors: Design and implementation 期刊论文
CHAOS, 2007, 卷号: 17, 期号: 1, 页码: 12
Authors:  Yu, Simin;  Lu, Jinhu;  Chen, Guanrong;  Chen, Guanrong
Favorite  |  View/Download：59/0  |  Submit date：2018/07/30
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 187, 期号: 2, 页码: 202-226
Authors:  Bai, ZZ;  Wang, ZQ
Favorite  |  View/Download：70/0  |  Submit date：2018/07/30
linear system  block two-by-two matrix  symmetric positive definite matrix  restrictive preconditioner  conjugate gradient method  
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2006, 卷号: 28, 期号: 2, 页码: 583-603
Authors:  Bai, Zhong-Zhi;  Golub, Gene H.;  Li, Chi-Kwong
Favorite  |  View/Download：70/0  |  Submit date：2018/07/30
non-Hermitian matrix  Hermitian matrix  skew-Hermitian matrix  splitting iteration method  optimal iteration parameter