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Fast rotated BSOR method for block two-by-two linear systems with application to PDE-constrained optimal control problems
期刊论文
BIT NUMERICAL MATHEMATICS, 2022
作者:
Liang, Zhao-Zheng
;
Dou, Yan
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浏览/下载:13/0
  |  
提交时间:2022/03/01
Block two-by-two linear system
Kronecker structure
Iterative solution method
Preconditioning
PDE-constrained optimization
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
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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浏览/下载:56/0
  |  
提交时间:2021/04/26
Fractional optimal control problem
Numerical discretizations
Block two-by-two linear system
Preconditioning
Spectral bounds
Krylov subspace iteration methods
Convergence property
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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浏览/下载:27/0
  |  
提交时间:2020/05/24
Spatial fractional diffusion equations
Shifted finite-difference discretization
Block Toeplitz-like matrix
Block circulant-like matrix
Preconditioning
Eigenvalue distribution
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 82, 期号: 4, 页码: 1251-1277
作者:
Bai, Zhong-Zhi
;
Miao, Cun-Qiang
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  |  
浏览/下载:17/0
  |  
提交时间:2020/05/24
Hermitian eigenproblem
Krylov subspace method
Inexact iteration
Convergence property
Regularized HSS iteration methods for stabilized saddle-point problems
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
作者:
Bai, Zhong-Zhi
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浏览/下载:57/0
  |  
提交时间:2020/01/10
stabilized saddle-point problem
Hermitian and skew-Hermitian splitting
stationary iteration method
inexact implementation
preconditioning
convergence
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 5, 页码: 18
作者:
Bai, Zhong-Zhi
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浏览/下载:19/0
  |  
提交时间:2019/01/11
convergence property
HSS iteration
matrix splitting
preconditioning
respective scaling
spatial fractional diffusion equation
Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations
期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 卷号: 37, 期号: 4, 页码: 4196-4218
作者:
Lu, Kang-Ya
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浏览/下载:19/0
  |  
提交时间:2018/10/07
Circulant matrix
Skew-circulant matrix
Preconditioning
Spatial fractional diffusion equations
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
作者:
Bai, Zhong-Zhi
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  |  
浏览/下载:20/0
  |  
提交时间:2019/12/13
convergence
Hermitian and skew-Hermitian splitting
iteration method
preconditioning
system of linear equations
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
;
Pan, Jian-Yu
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浏览/下载:30/0
  |  
提交时间:2018/07/30
convergence
Krylov subspace method
matrix splitting iteration
preconditioning
spatial fractional diffusion equation
spectral analysis
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
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  |  
浏览/下载:18/0
  |  
提交时间:2018/07/30
Saddle-point linear system
Hermitian and skew-Hermitian splitting
Iterative methods
Inexact implementation
Preconditioning
Convergence
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