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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
Authors:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
Favorite  |  View/Download:250/0  |  Submit date:2022/04/02
Gradient methods  Asymptotic convergence  Spectral property  Acceleration of gradient methods  Barzilai-Borwein method  Unconstrained optimization  Quadratic optimization  
A UNIFORM SPECTRAL ANALYSIS FOR A PRECONDITIONED ALL-AT-ONCE SYSTEM FROM FIRST-ORDER AND SECOND-ORDER EVOLUTIONARY PROBLEMS 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 3, 页码: 1331-1353
Authors:  Wu, Shu-Lin;  Zhou, Tao;  Zhou, Zhi
Favorite  |  View/Download:89/0  |  Submit date:2023/02/07
time-parallel algorithm  diagonalization technique  alpha-circulant preconditioner  stability  spectral analysis  Runge-Kutta method  two-step methods  
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:169/0  |  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  
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:174/0  |  Submit date:2020/05/24
Gradient methods  spectral property  Barizilai-Borwein method  linear convergence  quadratic optimization  bound constrained optimization  
Stabilization and regularity transmission of a Schrodinger equation through boundary connections with a Kelvin-Voigt damped beam equation 期刊论文
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2019, 页码: 20
Authors:  Guo, Bao-Zhu;  Ren, Han-Jing
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Schrodinger equation  beam equation  Kelvin-Voigt damping  Gevrey class  
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
Authors:  Dai, Yu-Hong;  Huang, Yakui;  Liu, Xin-Wei
Favorite  |  View/Download:192/0  |  Submit date:2020/01/10
Unconstrained optimization  Steepest descent method  Spectral gradient method  R-linear convergence  R-superlinear convergence  
On spectral clustering of HSS preconditioner for generalized saddle-point matrices 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 卷号: 555, 页码: 285-300
Authors:  Bai, Zhong-Zhi
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Generalized saddle-point problem  Hermitian and skew-Hermitian splitting  Preconditioning  Spectral property  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
Authors:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
View  |  Adobe PDF(475Kb)  |  Favorite  |  View/Download:657/189  |  Submit date:2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
On the spectrum of Euler-Bernoulli beam equation with Kelvin-Voigt damping 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 卷号: 374, 期号: 1, 页码: 210-229
Authors:  Zhang, Guo-Dong;  Guo, Bao-Zhu
Favorite  |  View/Download:107/0  |  Submit date:2018/07/30
Beam equation  Spectrum  Variable coefficients  Kelvin-Voigt damping  
Synchronization of multi-agent systems without connectivity assumptions 期刊论文
AUTOMATICA, 2009, 卷号: 45, 期号: 12, 页码: 2744-2753
Authors:  Liu, Zhixin;  Guo, Lei
Favorite  |  View/Download:133/0  |  Submit date:2018/07/30
Vicsek model  Synchronization  Connectivity  Spectral graph theory  Martingale