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A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
作者:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
收藏  |  浏览/下载:135/0  |  提交时间:2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings 期刊论文
APPLICABLE ANALYSIS, 2022, 卷号: 101, 期号: 1, 页码: 14-34
作者:  Rashid, M. H.;  Yuan, Ya-xiang
收藏  |  浏览/下载:128/0  |  提交时间:2022/04/29
Generalized equation  set-valued mappings  metrically regular mappings  restricted Newton-type method  semi-local convergence  
Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 1, 页码: 194-218
作者:  Geng, Yidan;  Song, Minghui;  Lu, Yulan;  Liu, Mingzhu
收藏  |  浏览/下载:203/0  |  提交时间:2021/01/14
Stochastic differential equations with piecewise continuous argument  local Lipschitz condition  Khasminskii-type condition  truncated Euler-Maruyama method  convergence and stability  
Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 6, 页码: 2910-2948
作者:  Liu, Wei;  Roeckner, Michael;  Sun, Xiaobin;  Xie, Yingchao
收藏  |  浏览/下载:185/0  |  提交时间:2020/05/24
Averaging principle  Local Lipschitz  Time-dependent  Strong convergence  Stochastic differential equations  
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
作者:  Dai, Yu-Hong;  Liu, Xin-Wei;  Sun, Jie
收藏  |  浏览/下载:182/0  |  提交时间:2020/05/24
Nonlinear programming  constrained optimization  infeasibility  interior-point method  global and local convergence  
Modulus-based multigrid methods for linear complementarity problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 6, 页码: 15
作者:  Bai, Zhong-Zhi;  Zhang, Li-Li
收藏  |  浏览/下载:199/0  |  提交时间:2018/07/30
asymptotic convergence factor  linear complementarity problem  local Fourier analysis  modulus-based matrix splitting iteration  multigrid method  
On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 72, 页码: 23-28
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载:132/0  |  提交时间:2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 33, 期号: 4, 页码: 1329-1351
作者:  Cai, Jiaxiang;  Hong, Jialin;  Wang, Yushun
收藏  |  浏览/下载:139/0  |  提交时间:2018/07/30
conservation law  convergence analysis  Klein-Gordon-Schrodinger equations  local structure  structure-preserving algorithm  
On local quadratic convergence of inexact simplified Jacobi-Davidson method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 520, 页码: 215-241
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载:135/0  |  提交时间:2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 卷号: 37, 期号: 2, 页码: 1041-1065
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载:154/0  |  提交时间:2018/07/30
symplectic method  local discontinuous Galerkin method  stochastic linear Schrodinger equation  L-2-stability  charge conservation law  mean-square convergence