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On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 卷号: 27, 期号: 1, 页码: 21
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
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convergence property  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  
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
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inexact Uzawa method  saddle-point problem  Uzawa method  
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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convergence  Hermitian and skew-Hermitian splitting  iteration method  preconditioning  system of linear equations  
A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 1, 页码: 17
Authors:  Gong, Wei;  Tan, Zhiyu;  Zhang, Shuo
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elliptic equation  mixed finite element method  optimal control problem  optimal preconditioner  
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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non-Hermitian matrix  positive definiteness  preconditioning  SSOR iteration  eigenvalue distribution  
On sinc discretization and banded preconditioning for linear third-order ordinary differential equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 471-497
Authors:  Bai, Zhong-Zhi;  Chan, Raymond H.;  Ren, Zhi-Ru
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third-order ordinary differential equation  sinc-collocation discretization  sinc-Galerkin discretization  convergence analysis  banded preconditioning  Krylov subspace methods  
Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 2, 页码: 261-274
Authors:  Sun, Jian-Qing;  Hu, Xing-Biao;  Tam, Hon-Wah
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discrete Bogoyavlensky system  Lax form  asymptotic behavior  complex eigenvalues  
Modulus-based matrix splitting iteration methods for linear complementarity problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2010, 卷号: 17, 期号: 6, 页码: 917-933
Authors:  Bai, Zhong-Zhi
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linear complementarity problem  matrix splitting  iteration method  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
Authors:  Dong, Jun-Liang;  Jiang, Mei-Qun
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linear complementarity problem  system of linear equations  modulus method  inexact iterative method  symmetric positive-definite matrix  
Left conjugate gradient method for non-Hermitian linear systems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2008, 卷号: 15, 期号: 10, 页码: 891-909
Authors:  Wang, Li-Ping;  Dai, Yu-Hong
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left conjugate direction method  left conjugate gradient method  non-Hermitian linear system  breakdown  block left conjugate gradient method