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Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 60
Authors:  Hu, Shenglong;  Ye, Ke
Favorite  |  View/Download:48/0  |  Submit date:2023/02/07
Orthogonally decomposable tensors  Low rank orthogonal tensor approximation  R-linear convergence  Sublinear convergence  Global convergence  
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
Authors:  Xu, Xuefeng;  Zhang, Chen-Song
Favorite  |  View/Download:124/0  |  Submit date:2022/04/29
multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
LARGE N LIMIT OF THE O(N) LINEAR SIGMA MODEL VIA STOCHASTIC QUANTIZATION 期刊论文
ANNALS OF PROBABILITY, 2022, 卷号: 50, 期号: 1, 页码: 131-202
Authors:  Shen, Hao;  Smith, Scott A.;  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:119/0  |  Submit date:2022/04/29
O(N) linear sigma model  Phi(4)  mean-field limit  stochastic quantization  space-time white noise  
On observability analysis and observer design for a class of nonlinear uncertain systems with general elastic vibration dynamics 期刊论文
ASIAN JOURNAL OF CONTROL, 2021, 页码: 12
Authors:  Zhang, Xiaoyan;  Xue, Wenchao;  Zhao, Yanlong
Favorite  |  View/Download:125/0  |  Submit date:2021/10/26
active disturbance rejection control  general extended state observer  observability analysis  rigid-flexible coupling  uncertainty estimation  
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
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
Favorite  |  View/Download:134/0  |  Submit date:2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
On convergence rate of the randomized Gauss-Seidel method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 卷号: 611, 页码: 237-252
Authors:  Bai, Zhong-Zhi;  Wang, Lu;  Wu, Wen-Ting
Favorite  |  View/Download:125/0  |  Submit date:2021/04/26
System of linear equations  Randomized Gauss-Seidel method  Randomized Kaczmarz method  Convergence rate  
New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization 期刊论文
NUMERICAL ALGORITHMS, 2020, 页码: 34
Authors:  Zhao, Ting;  Liu, Hongwei;  Liu, Zexian
Favorite  |  View/Download:129/0  |  Submit date:2021/01/14
Conjugate gradient method  p-regularization model  Subspace technique  Nonmonotone line search  Unconstrained optimization  
Consensus of linear multi-agent systems with stochastic noises and binary-valued communications 期刊论文
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 页码: 17
Authors:  Wang, Ting;  Hu, Min;  Zhao, Yanlong
Favorite  |  View/Download:138/0  |  Submit date:2020/09/23
binary-valued communications  consensus  control  convergence  convergence rate  estimation  linear multi-agent systems  
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
Favorite  |  View/Download:142/0  |  Submit date:2020/05/24
Spatial fractional diffusion equations  Shifted finite-difference discretization  Block Toeplitz-like matrix  Block circulant-like matrix  Preconditioning  Eigenvalue distribution  
Gradient methods exploiting spectral properties 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 25
Authors:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
Favorite  |  View/Download:140/0  |  Submit date:2020/05/24
Gradient methods  spectral property  Barizilai-Borwein method  linear convergence  quadratic optimization  bound constrained optimization