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A semismooth Newton based augmented Lagrangian method for nonsmooth optimization on matrix manifolds 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 61
Authors:  Zhou, Yuhao;  Bao, Chenglong;  Ding, Chao;  Zhu, Jun
Favorite  |  View/Download:8/0  |  Submit date:2023/02/07
Nonsmooth manifold optimization  Semismooth Newton method  Augmented Lagrangian method  Riemannian manifold  
Compensated projected Euler-Maruyama method for stochastic differential equations with superlinear jumps 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2021, 卷号: 393, 页码: 11
Authors:  Li, Min;  Huang, Chengming;  Chen, Ziheng
Favorite  |  View/Download:83/0  |  Submit date:2021/04/26
Stochastic differential equations with jumps  Compensated projected Euler-Maruyama method  Mean square convergence  C-stability  B-consistency  
A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
Authors:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
Favorite  |  View/Download:95/0  |  Submit date:2021/04/26
distribution-order derivative  fractional wave equations  initial singularity  multi-term fractional derivatives  superlinear convergence  
A penalty-free method with superlinear convergence for equality constrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2020, 卷号: 76, 期号: 3, 页码: 801-833
Authors:  Chen, Zhongwen;  Dai, Yu-Hong;  Liu, Jiangyan
Favorite  |  View/Download:92/0  |  Submit date:2020/09/23
Equality constrained optimization  Trust region method  Penalty-free method  Global convergence  Superlinear convergence  
A PRIMAL-DUAL INTERIOR-POINT METHOD CAPABLE OF RAPIDLY DETECTING INFEASIBILITY FOR NONLINEAR PROGRAMS 期刊论文
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2020, 卷号: 16, 期号: 2, 页码: 1009-1035
Authors:  Dai, Yu-Hong;  Liu, Xin-Wei;  Sun, Jie
Favorite  |  View/Download:102/0  |  Submit date:2020/05/24
Nonlinear programming  constrained optimization  infeasibility  interior-point method  global and local convergence  
Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 页码: 22
Authors:  Rashid, Mohammed Harunor;  Yuan, Ya-xiang
Favorite  |  View/Download:86/0  |  Submit date:2020/05/24
set-valued mappings  generalized equations  metrically regular mapping  semilocal convergence  point-based approximation  
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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Unconstrained optimization  Steepest descent method  Spectral gradient method  R-linear convergence  R-superlinear convergence  
STRUCTURED QUASI-NEWTON METHODS FOR OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: A2239-A2269
Authors:  Hu, Jiang;  Jiang, Bo;  Lin, Lin;  Wen, Zaiwen;  Yuan, Ya-Xiang
Favorite  |  View/Download:102/0  |  Submit date:2020/01/10
optimization with orthogonality constraints  structured quasi-Newton method  limited-memory Nystrom approximation  Hartree-Fock total energy minimization  
A NEW HDG METHOD FOR DIRICHLET BOUNDARY CONTROL OF CONVECTION DIFFUSION PDEs II: LOW REGULARITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2262-2287
Authors:  Gong, Wei;  Hu, Weiwei;  Mateos, Mariano;  Singler, John;  Zhang, Xiao;  Zhang, Yangwen
Favorite  |  View/Download:133/0  |  Submit date:2018/10/07
Dirichlet boundary control  hybridizable discontinuous Galerkin method (HDG)  error analysis  low regularity  convection diffusion  
ADAPTIVE QUADRATICALLY REGULARIZED NEWTON METHOD FOR RIEMANNIAN OPTIMIZATION 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018, 卷号: 39, 期号: 3, 页码: 1181-1207
Authors:  Hu, Jiang;  Milzarek, Andre;  Wen, Zaiwen;  Yuan, Yaxiang
Favorite  |  View/Download:111/0  |  Submit date:2019/03/05
Riemannian optimization  regularization  trust-region methods  inexactness