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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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
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View/Download:135/0
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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
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View/Download:41/0
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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
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View/Download:116/0
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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
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View/Download:123/0
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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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View/Download:106/0
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Submit date:2020/05/24
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
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View/Download:142/0
  |  
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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View/Download:149/0
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Submit date:2018/10/07
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
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View/Download:393/103
  |  
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
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View/Download:77/0
  |  
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
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View/Download:83/0
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Submit date:2018/07/30
Vicsek model
Synchronization
Connectivity
Spectral graph theory
Martingale