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A class of block alternating splitting implicit iteration methods for double saddle point linear systems
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2022
作者:
Dou, Yan
;
Liang, Zhao-Zheng
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浏览/下载:10/0
  |  
提交时间:2022/07/19
block alternating splitting implicit iteration
convergence analysis
preconditioning
saddle point problems
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
Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 408, 页码: 18
作者:
He, Xin
;
Vuik, Cornelis
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浏览/下载:2/0
  |  
提交时间:2020/12/10
Navier-Stokes equations
Stabilized finite element method
Block structured preconditioners
Schur complement approximations
Augmented Lagrangian preconditioner
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
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time–space fractional diffusion equation
期刊论文
Journal of Computational and Applied Mathematics, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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浏览/下载:5/0
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提交时间:2020/11/14
Gradient methods
Linear systems
Matrix algebra
Partial differential equations
Circulant preconditioner
Fractional differential equations
Krylov subspace method
Toeplitz matrices
WSGD
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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浏览/下载:11/0
  |  
提交时间:2019/11/15
Block triangular lower Toeplitz matrix
Skew-circulant preconditioner
Krylov subspace methods
Fractional differential equations
WSGD
L2-1(sigma) formula
Improved block preconditioners for linear systems arising from half-quadratic image restoration
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 363
作者:
Wang, Chaojie
;
Li, Hongyi
;
Zhao, Di
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浏览/下载:7/0
  |  
提交时间:2019/12/30
Half-quadratic regularization
Newton method
Hessian matrix
Block preconditioners
Approximate Schur complement
On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations
期刊论文
NUMERICAL ALGORITHMS, 2018, 卷号: 79, 期号: 1, 页码: 41-64
作者:
Huang, Na
;
Ma, Chang-Feng
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浏览/下载:12/0
  |  
提交时间:2018/10/07
Navier-Stokes equations
Saddle point problem
Spectral estimates
Preconditioner
Nonsymmetric
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
作者:
Huang, Na
;
Ma, Chang-Feng
;
Zou, Jun
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浏览/下载:23/0
  |  
提交时间: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
作者:
Huang, Na
;
Ma, Chang-Feng
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浏览/下载:23/0
  |  
提交时间:2018/07/25
PDE-constrained optimization
Saddle point matrices
Preconditioner
Cholesky decomposition
Spectral bound
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