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The augmented lagrangian method can approximately solve convex optimization with least constraint violation 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 35
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载：107/0  |  提交时间：2023/02/07
Convex optimization  Least constraint violation  Augmented Lagrangian method  Shifted problem  Optimal value mapping  Solution mapping  Dual function  Conjugate dual  
CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 133-156
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载：138/0  |  提交时间：2022/04/29
multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
A cascadic multigrid method for nonsymmetric eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 55-72
作者:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
收藏  |  浏览/下载：161/0  |  提交时间：2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
Isogeometric analysis for surface PDEs with extended Loop subdivision 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 398, 页码: 22
作者:  Pan, Qing;  Rabczuk, Timon;  Xu, Gang;  Chen, Chong
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10
Isogeometric analysis  Extended Loop subdivision  Surface PDEs  
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：165/0  |  提交时间：2020/01/10
System of linear equations  Inconsistency  Kaczmarz method  Randomized iteration  Convergence property  
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
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：181/0  |  提交时间：2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
A family of spectral gradient methods for optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 卷号: 74, 期号: 1, 页码: 43-65
作者:  Dai, Yu-Hong;  Huang, Yakui;  Liu, Xin-Wei
收藏  |  浏览/下载：168/0  |  提交时间：2020/01/10
Unconstrained optimization  Steepest descent method  Spectral gradient method  R-linear convergence  R-superlinear convergence  
Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1705-1719
作者:  Zhao, Yanmin;  Wang, Fenling;  Hu, Xiaohan;  Shi, Zhengguang;  Tang, Yifa
收藏  |  浏览/下载：179/0  |  提交时间：2020/01/10
Multi-term time-fractional mixed diffusion-wave equations  Linear triangle finite element  L1 time-stepping method  Crank-Nicolson scheme  Unconditional stability  Convergence and superconvergence  
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：163/0  |  提交时间：2020/01/10
convergence property  coordinate descent method  linear least-squares problem  randomized iteration  
A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 卷号: 45, 期号: 3, 页码: 1129-1161
作者:  Hu, Qiya;  Hu, Shaoliang
收藏  |  浏览/下载：158/0  |  提交时间：2020/01/10
Domain decomposition  Substructuring preconditioner  Linear elasticity problems  Maxwell's equations  PCG iteration  Convergence rate