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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:147/0  |  提交时间:2022/04/29
multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载:188/0  |  提交时间:2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
An alternating minimization method for robust principal component analysis 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 卷号: 34, 期号: 6, 页码: 1251-1276
作者:  Shen, Yuan;  Xu, Hongyu;  Liu, Xin
收藏  |  浏览/下载:207/0  |  提交时间:2020/01/10
Robust principal component analysis  symmetric low rank product minimization  singular value decomposition  alternating minimization  
A new estimate for a quantity involving the Chebyshev polynomials of the first kind 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 卷号: 476, 期号: 2, 页码: 302-308
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载:162/0  |  提交时间:2020/01/10
Chebyshev polynomials  Recurrence relation  Smoothed aggregation  
On the Nonergodic Convergence Rate of an Inexact Augmented Lagrangian Framework for Composite Convex Programming 期刊论文
MATHEMATICS OF OPERATIONS RESEARCH, 2019, 卷号: 44, 期号: 2, 页码: 632-650
作者:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
收藏  |  浏览/下载:189/0  |  提交时间:2020/01/10
inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming  
Plane wave methods for quantum eigenvalue problems of incommensurate systems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 384, 页码: 99-113
作者:  Zhou, Yuzhi;  Chen, Huajie;  Zhou, Aihui
收藏  |  浏览/下载:110/0  |  提交时间:2019/12/13
Incommensurate system  Quantum eigenvalue problem  Plane wave  Density functional theory  
A mathematical aspect of Hohenberg-Kohn theorem 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 1, 页码: 63-68
作者:  Zhou, Aihui
收藏  |  浏览/下载:141/0  |  提交时间:2019/03/05
density functional theory  electronic structure  unique continuation principle  Hohenberg-Kohn theorem  
Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media 期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2019, 卷号: 119, 期号: 1, 页码: 145-163
作者:  Devloo, Philippe;  Teng, Wenchao;  Zhang, Chen-Song
收藏  |  浏览/下载:179/0  |  提交时间:2020/01/10
Fracture simulation  discrete fracture model  multiscale hybrid finite element  mixed formulation  
amathematicalaspectofhohenbergkohntheorem 期刊论文
中国科学数学英文版, 2019, 卷号: 062, 期号: 001, 页码: 63
作者:  Aihui Zhou
收藏  |  浏览/下载:151/0  |  提交时间:2020/01/10
Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights 期刊论文
MATHEMATICAL PROGRAMMING, 2019, 卷号: 173, 期号: 1-2, 页码: 37-77
作者:  Chen, Caihua;  Li, Min;  Liu, Xin;  Ye, Yinyu
收藏  |  浏览/下载:222/0  |  提交时间:2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation