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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
Authors:  Bai, Zhong-Zhi
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stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
The preconditioned iterative methods with variable parameters for saddle point problem 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 334, 页码: 152-167
Authors:  Huang, Na;  Ma, Chang-Feng
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Saddle point problem  Preconditioned iterative method  Variable parameters  Optimal parameter  Convergence  
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
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PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
NOVEL MULTILEVEL PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 4, 页码: A1675-A1709
Authors:  Hu, Qiya;  Li, Xuan
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Helmholtz equation  large wave numbers  plane wave methods  multilevel overlapping domain decomposition  multilevel overlapping preconditioner  smoothers  
SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 4, 页码: A2232-A2261
Authors:  Hu, Qiya;  Zhang, Haiyang
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Helmholtz equation  large wave number  plane wave discretization  nonoverlapping domain decomposition  parallel preconditioner  iteration counts  
On HSS-based constraint preconditioners for generalized saddle-point problems 期刊论文
NUMERICAL ALGORITHMS, 2011, 卷号: 57, 期号: 2, 页码: 273-287
Authors:  Zhang, Guo-Feng;  Ren, Zhi-Ru;  Zhou, Yuan-Yuan
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Saddle-point problem  Iterative method  Preconditioning method  Non-Hermitian indefinite linear system  HSS-based preconditioner  
INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2011, 卷号: 8, 期号: 1, 页码: 156-173
Authors:  Chen, Xingding;  Hu, Qiya
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Domain decomposition  geometrically non-conforming  Lagrange multiplier  saddle-point system  preconditioners  condition number  
Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2010, 卷号: 3, 期号: 4, 页码: 461-474
Authors:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.;  Yang, Xi
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Edge-preserving  image restoration  multiplicative half-quadratic regularization  Newton method  preconditioned conjugate gradient method  constraint preconditioner  eigenvalue bounds  
ON PRECONDITIONED ITERATIVE METHODS FOR CERTAIN TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 卷号: 47, 期号: 2, 页码: 1019-1037
Authors:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.
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time-dependent partial differential equation  sinc-Galerkin discretization  Toeplitz- like matrix  preconditioning  eigenvalue bound  GMRES method  
A regularized domain decomposition method with Lagrange multiplier 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2007, 卷号: 26, 期号: 4, 页码: 367-401
Authors:  Hu, Qiya
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domain decomposition  nonmatching grids  mortar element  Lagrange multipliers  regularization  interface equation  preconditioner  condition number