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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
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载:879/158  |  提交时间:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
CONSTRAINT PRECONDITIONERS FOR SYMMETRIC INDEFINITE MATRICES 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2009, 卷号: 31, 期号: 2, 页码: 410-433
作者:  Bai, Zhong-Zhi;  Ng, Michael K.;  Wang, Zeng-Qi
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
symmetric indefinite systems  constraint preconditioners  
A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2008, 卷号: 3, 期号: 3, 页码: 582-602
作者:  Di, Yana;  Li, Ruo;  Tang, Tao
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
moving mesh methods  multi-phase flows  unstructured tetrahedra  phase field model  Navier-Stokes equations  finite element 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
作者:  Yin, Junfeng;  Bai, Zhongzhi
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
block two-by-two linear system  saddle point problem  restrictively preconditioned conjugate gradient method  normal-residual equation  incomplete orthogonal factorization  
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
作者:  Bai, ZZ;  Wang, ZQ
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
linear system  block two-by-two matrix  symmetric positive definite matrix  restrictive preconditioner  conjugate gradient method  
Structured preconditioners for nonsingular matrices of block two-by-two structures 期刊论文
MATHEMATICS OF COMPUTATION, 2006, 卷号: 75, 期号: 254, 页码: 791-815
作者:  Bai, ZZ
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
block two-by-two matrix  preconditioner  modified block relaxation iteration  eigenvalue distribution  positive definiteness  
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
作者:  Bai, Zhong-Zhi;  Golub, Gene H.;  Li, Chi-Kwong
收藏  |  浏览/下载:166/0  |  提交时间:2018/07/30
non-Hermitian matrix  Hermitian matrix  skew-Hermitian matrix  splitting iteration method  optimal iteration parameter  
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2005, 卷号: 26, 期号: 3, 页码: 844-863
作者:  Bai, ZZ;  Golub, GH;  Lu, LZ;  Yin, JF
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
non-Hermitian matrix  positive-definite matrix  triangular matrix  block triangular matrix  Hermitian and skew-Hermitian splitting  splitting iteration method