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On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 期号: 1, 页码: 1-33
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：109/0  |  提交时间：2019/12/13
Matrix splitting  Iteration method  Convergence property  Spatial fractional diffusion equation  
ON THE NUMERICAL BEHAVIOR OF MATRIX SPLITTING ITERATION METHODS FOR SOLVING LINEAR SYSTEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 4, 页码: 1716-1737
作者:  Bai, Zhong-Zhi;  Rozloznik, Miroslav
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
matrix splitting  stationary iteration method  backward error  rounding error analysis  
ON EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 341-366
作者:  Dai, Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory  
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
作者:  Bai, Zhong-Zhi;  Chan, Raymond H.;  Ren, Zhi-Ru
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
third-order ordinary differential equation  sinc-collocation discretization  sinc-Galerkin discretization  convergence analysis  banded preconditioning  Krylov subspace methods  
On convergence conditions of waveform relaxation methods for linear differential-algebraic equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 235, 期号: 8, 页码: 2790-2804
作者:  Bai, Zhong-Zhi;  Yang, Xi
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
Differential-algebraic equations  Laplace transform  Waveform relaxation method  Convergence theory  
Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 卷号: 30, 期号: 2, 页码: 804-818
作者:  Bai, Zhong-Zhi;  Gao, Yong-Hua;  Lu, Lin-Zhang
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
nonsymmetric algebraic Riccati equation  fixed-point equations in vector form  splitting iteration method  monotone convergence  
Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 卷号: 13, 期号: 10, 页码: 801-823
作者:  Deng, Yuan-Bel;  Bai, Zhong-Zhi;  Gao, Yong-Hua
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
matrix equations  Hermitian matrix  generalized inverse  iterative method  
Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 卷号: 13, 期号: 8, 页码: 655-674
作者:  Bai, Zhong-Zhi;  Guo, Xiao-Xia;  Xu, Shu-Fang
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
non-symmetric algebraic Riccati equation  minimal non-negative solution  M-matrix  alternately linearized iteration  monotone convergence