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On the Asymptotic Convergence and Acceleration of Gradient Methods 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 1, 页码: 29
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载：254/0  |  提交时间：2022/04/02
Gradient methods  Asymptotic convergence  Spectral property  Acceleration of gradient methods  Barzilai-Borwein method  Unconstrained optimization  Quadratic optimization  
On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 页码: 10
作者:  Bai, Zhong-Zhi;  Wang, Lu;  Muratova, Galina, V
收藏  |  浏览/下载：171/0  |  提交时间：2022/04/02
System of linear equations  relaxation  augmented linear system  randomized Kaczmarz method  convergence property  
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
收藏  |  浏览/下载：171/0  |  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  
Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 209-227
作者:  Yang, Bin;  Zhou, Aihui
收藏  |  浏览/下载：152/0  |  提交时间：2021/04/26
Adaptive finite element approximation  complexity  convergence  nonlinear eigenvalue problem  non-polynomial behavior  unique continuation property  
ON GREEDY RANDOMIZED AUGMENTED KACZMARZ METHOD FOR SOLVING LARGE SPARSE INCONSISTENT LINEAR SYSTEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 6, 页码: A3892-A3911
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载：135/0  |  提交时间：2022/04/02
system of linear equations  inconsistency  augmented linear system  Kaczmarz method  randomized iteration  convergence property  
Gradient methods exploiting spectral properties 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 25
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载：175/0  |  提交时间：2020/05/24
Gradient methods  spectral property  Barizilai-Borwein method  linear convergence  quadratic optimization  bound constrained optimization  
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
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：179/0  |  提交时间：2020/06/30
convergence property  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 82, 期号: 4, 页码: 1251-1277
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载：149/0  |  提交时间：2020/05/24
Hermitian eigenproblem  Krylov subspace method  Inexact iteration  Convergence property  
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 卷号: 578, 页码: 225-250
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载：191/0  |  提交时间：2020/01/10
System of linear equations  Inconsistency  Kaczmarz method  Randomized iteration  Convergence property  
On greedy randomized coordinate descent methods for solving large linear least-squares problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 卷号: 26, 期号: 4, 页码: 15
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载：186/0  |  提交时间：2020/01/10
convergence property  coordinate descent method  linear least-squares problem  randomized iteration